0.005 * [progress]: [Phase 1 of 3] Setting up. 0.007 * * * [progress]: [1/2] Preparing points 1.463 * * * [progress]: [2/2] Setting up program. 1.475 * [progress]: [Phase 2 of 3] Improving. 1.476 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 1.478 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 1.479 * * [simplify]: iters left: 6 (17 enodes) 1.492 * * [simplify]: iters left: 5 (60 enodes) 1.509 * * [simplify]: iters left: 4 (71 enodes) 1.519 * * [simplify]: iters left: 3 (76 enodes) 1.528 * * [simplify]: Extracting #0: cost 1 inf + 0 1.528 * * [simplify]: Extracting #1: cost 4 inf + 0 1.529 * * [simplify]: Extracting #2: cost 5 inf + 1 1.529 * * [simplify]: Extracting #3: cost 8 inf + 1 1.529 * * [simplify]: Extracting #4: cost 18 inf + 1 1.529 * * [simplify]: Extracting #5: cost 29 inf + 1 1.529 * * [simplify]: Extracting #6: cost 25 inf + 369 1.529 * * [simplify]: Extracting #7: cost 19 inf + 979 1.529 * * [simplify]: Extracting #8: cost 9 inf + 2522 1.530 * * [simplify]: Extracting #9: cost 0 inf + 6397 1.531 * [simplify]: Simplified to (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 1.531 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) 1.538 * * [progress]: iteration 1 / 4 1.538 * * * [progress]: picking best candidate 1.543 * * * * [pick]: Picked # 1.543 * * * [progress]: localizing error 1.595 * * * [progress]: generating rewritten candidates 1.595 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 1.605 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.607 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.613 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 1.627 * * * [progress]: generating series expansions 1.627 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 1.641 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2)) 1.641 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 1.643 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 1.643 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 1.643 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.643 * [backup-simplify]: Simplify lambda1 into lambda1 1.643 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.643 * [backup-simplify]: Simplify 0 into 0 1.643 * [backup-simplify]: Simplify 1 into 1 1.644 * [backup-simplify]: Simplify (- 0) into 0 1.644 * [backup-simplify]: Simplify (+ lambda1 0) into lambda1 1.644 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 1.644 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 1.644 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 1.645 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 1.645 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [backup-simplify]: Simplify 1 into 1 1.645 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.645 * [backup-simplify]: Simplify lambda2 into lambda2 1.645 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.645 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 1.645 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 1.645 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 1.645 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 1.645 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 1.645 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [backup-simplify]: Simplify 1 into 1 1.645 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.645 * [backup-simplify]: Simplify lambda2 into lambda2 1.645 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.645 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 1.645 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 1.645 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 1.648 * [backup-simplify]: Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2)) 1.648 * [backup-simplify]: Simplify (* (sin (- lambda2)) 0) into 0 1.649 * [backup-simplify]: Simplify (- 0) into 0 1.649 * [backup-simplify]: Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2)) 1.649 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 1.649 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.649 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.649 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify 1 into 1 1.649 * [backup-simplify]: Simplify (- 0) into 0 1.650 * [backup-simplify]: Simplify (- 1) into -1 1.650 * [backup-simplify]: Simplify 1 into 1 1.651 * [backup-simplify]: Simplify (+ 0) into 0 1.652 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (* 0 1)) into 0 1.653 * [backup-simplify]: Simplify (- 0) into 0 1.653 * [backup-simplify]: Simplify (+ 1 0) into 1 1.654 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.654 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 1) (* 0 0)) into (sin (- lambda2)) 1.654 * [backup-simplify]: Simplify (- (sin (- lambda2))) into (- (sin (- lambda2))) 1.655 * [backup-simplify]: Simplify (+ 0 (- (sin (- lambda2)))) into (- (sin (- lambda2))) 1.655 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 1.655 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.655 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.655 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify 1 into 1 1.655 * [backup-simplify]: Simplify (- 0) into 0 1.655 * [backup-simplify]: Simplify (- 1) into -1 1.656 * [backup-simplify]: Simplify (- 0) into 0 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [backup-simplify]: Simplify (+ 0) into 0 1.656 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.658 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (- lambda2)))) 1.659 * [backup-simplify]: Simplify (- 0) into 0 1.659 * [backup-simplify]: Simplify (+ 0 0) into 0 1.660 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.661 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 1) (* 0 0))) into 0 1.661 * [backup-simplify]: Simplify (- 0) into 0 1.661 * [backup-simplify]: Simplify (+ (- (* 1/2 (cos (- lambda2)))) 0) into (- (* 1/2 (cos (- lambda2)))) 1.661 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 1.662 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 1.662 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.662 * [backup-simplify]: Simplify 1/2 into 1/2 1.662 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 1.662 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.662 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify 1 into 1 1.662 * [backup-simplify]: Simplify (- 0) into 0 1.662 * [backup-simplify]: Simplify (- 1) into -1 1.663 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.663 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.663 * [backup-simplify]: Simplify -1/2 into -1/2 1.664 * [backup-simplify]: Simplify (- 1) into -1 1.665 * [backup-simplify]: Simplify (+ (* 1 (/ (pow -1 1) 1))) into -1 1.665 * [backup-simplify]: Simplify (- -1) into 1 1.665 * [backup-simplify]: Simplify 1 into 1 1.666 * [backup-simplify]: Simplify (+ (* 1 (* lambda2 lambda1)) (+ (* -1/2 (pow (* 1 lambda1) 2)) 1)) into (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) 1.666 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.666 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.666 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 1.666 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 1.666 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.666 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.666 * [backup-simplify]: Simplify lambda1 into lambda1 1.667 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.667 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.667 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.667 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify 1 into 1 1.667 * [backup-simplify]: Simplify (/ 1 1) into 1 1.668 * [backup-simplify]: Simplify (- 1) into -1 1.668 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.668 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.668 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 1.668 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 1.668 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.668 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.668 * [backup-simplify]: Simplify 0 into 0 1.668 * [backup-simplify]: Simplify 1 into 1 1.669 * [backup-simplify]: Simplify (/ 1 1) into 1 1.669 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.669 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.669 * [backup-simplify]: Simplify lambda2 into lambda2 1.669 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.669 * [backup-simplify]: Simplify (+ 1 0) into 1 1.670 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.670 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 1.670 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 1.670 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.670 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.670 * [backup-simplify]: Simplify 0 into 0 1.670 * [backup-simplify]: Simplify 1 into 1 1.670 * [backup-simplify]: Simplify (/ 1 1) into 1 1.670 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.670 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.670 * [backup-simplify]: Simplify lambda2 into lambda2 1.670 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.671 * [backup-simplify]: Simplify (+ 1 0) into 1 1.671 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.671 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 1.671 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 1.671 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.671 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.671 * [backup-simplify]: Simplify lambda1 into lambda1 1.671 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.671 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.671 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify 1 into 1 1.671 * [backup-simplify]: Simplify (/ 1 1) into 1 1.672 * [backup-simplify]: Simplify (- 1) into -1 1.672 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.672 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.673 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.673 * [taylor]: Taking taylor expansion of 0 in lambda2 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [taylor]: Taking taylor expansion of 0 in lambda2 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [taylor]: Taking taylor expansion of 0 in lambda2 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) into (cos (- lambda1 lambda2)) 1.673 * [backup-simplify]: Simplify (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.673 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 1.673 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 1.673 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 1.673 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.673 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.674 * [backup-simplify]: Simplify 0 into 0 1.674 * [backup-simplify]: Simplify 1 into 1 1.674 * [backup-simplify]: Simplify (/ 1 1) into 1 1.674 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.674 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.674 * [backup-simplify]: Simplify lambda1 into lambda1 1.674 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.675 * [backup-simplify]: Simplify (+ 1 0) into 1 1.675 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.675 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 1.675 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 1.675 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.675 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.675 * [backup-simplify]: Simplify lambda2 into lambda2 1.675 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.675 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.675 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.675 * [backup-simplify]: Simplify 0 into 0 1.675 * [backup-simplify]: Simplify 1 into 1 1.675 * [backup-simplify]: Simplify (/ 1 1) into 1 1.676 * [backup-simplify]: Simplify (- 1) into -1 1.676 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.676 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.676 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 1.676 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 1.676 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.676 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.676 * [backup-simplify]: Simplify lambda2 into lambda2 1.676 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.676 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.677 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify 1 into 1 1.677 * [backup-simplify]: Simplify (/ 1 1) into 1 1.677 * [backup-simplify]: Simplify (- 1) into -1 1.678 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.678 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.678 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 1.678 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 1.678 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.678 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify 1 into 1 1.678 * [backup-simplify]: Simplify (/ 1 1) into 1 1.678 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.679 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.679 * [backup-simplify]: Simplify lambda1 into lambda1 1.679 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.679 * [backup-simplify]: Simplify (+ 1 0) into 1 1.679 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.679 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.679 * [taylor]: Taking taylor expansion of 0 in lambda2 1.679 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [taylor]: Taking taylor expansion of 0 in lambda2 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [taylor]: Taking taylor expansion of 0 in lambda2 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))) into (cos (- lambda1 lambda2)) 1.680 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.681 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.681 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in (phi1 phi2 lambda1 lambda2) around 0 1.681 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 1.683 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.683 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 1.683 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.683 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 1.684 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.684 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 1.684 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.684 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 1.684 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.684 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 1.685 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.685 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 1.685 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.685 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 1.685 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.686 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.686 * [taylor]: Taking taylor expansion of 0 in phi2 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [taylor]: Taking taylor expansion of 0 in lambda1 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [taylor]: Taking taylor expansion of 0 in lambda2 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [taylor]: Taking taylor expansion of 0 in lambda1 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [taylor]: Taking taylor expansion of 0 in lambda2 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [taylor]: Taking taylor expansion of 0 in lambda2 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [taylor]: Taking taylor expansion of 0 in phi2 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [taylor]: Taking taylor expansion of 0 in lambda1 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [taylor]: Taking taylor expansion of 0 in lambda2 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [taylor]: Taking taylor expansion of 0 in lambda1 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [taylor]: Taking taylor expansion of 0 in lambda2 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify 0 into 0 1.687 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.687 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.687 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in (phi1 phi2 lambda1 lambda2) around 0 1.687 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda2 1.688 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.688 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda1 1.688 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.688 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi2 1.689 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.689 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi1 1.689 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.689 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi1 1.689 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.690 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi2 1.690 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.690 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda1 1.690 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.690 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda2 1.691 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.691 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.691 * [taylor]: Taking taylor expansion of 0 in phi2 1.691 * [backup-simplify]: Simplify 0 into 0 1.692 * [taylor]: Taking taylor expansion of 0 in lambda1 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [taylor]: Taking taylor expansion of 0 in lambda2 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [taylor]: Taking taylor expansion of 0 in lambda1 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [taylor]: Taking taylor expansion of 0 in lambda2 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [taylor]: Taking taylor expansion of 0 in lambda2 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [taylor]: Taking taylor expansion of 0 in phi2 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [taylor]: Taking taylor expansion of 0 in lambda1 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [taylor]: Taking taylor expansion of 0 in lambda2 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [taylor]: Taking taylor expansion of 0 in lambda1 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [taylor]: Taking taylor expansion of 0 in lambda2 1.692 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) (cos (/ 1 (/ 1 phi1))))))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.694 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.694 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.694 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda2 1.694 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.694 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda1 1.695 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.695 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi2 1.695 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.695 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi1 1.695 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.696 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi1 1.696 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.696 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi2 1.697 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.697 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda1 1.697 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.697 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda2 1.698 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.698 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.698 * [taylor]: Taking taylor expansion of 0 in phi2 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [taylor]: Taking taylor expansion of 0 in lambda1 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [taylor]: Taking taylor expansion of 0 in lambda2 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [taylor]: Taking taylor expansion of 0 in lambda1 1.698 * [backup-simplify]: Simplify 0 into 0 1.699 * [taylor]: Taking taylor expansion of 0 in lambda2 1.699 * [backup-simplify]: Simplify 0 into 0 1.699 * [backup-simplify]: Simplify 0 into 0 1.699 * [taylor]: Taking taylor expansion of 0 in lambda2 1.699 * [backup-simplify]: Simplify 0 into 0 1.699 * [backup-simplify]: Simplify 0 into 0 1.699 * [backup-simplify]: Simplify 0 into 0 1.699 * [taylor]: Taking taylor expansion of 0 in phi2 1.699 * [backup-simplify]: Simplify 0 into 0 1.699 * [taylor]: Taking taylor expansion of 0 in lambda1 1.699 * [backup-simplify]: Simplify 0 into 0 1.699 * [taylor]: Taking taylor expansion of 0 in lambda2 1.699 * [backup-simplify]: Simplify 0 into 0 1.699 * [backup-simplify]: Simplify 0 into 0 1.699 * [taylor]: Taking taylor expansion of 0 in lambda1 1.699 * [backup-simplify]: Simplify 0 into 0 1.699 * [taylor]: Taking taylor expansion of 0 in lambda2 1.699 * [backup-simplify]: Simplify 0 into 0 1.699 * [backup-simplify]: Simplify 0 into 0 1.700 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))))))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.700 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.700 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 1.700 * [approximate]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.700 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in R 1.700 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in R 1.701 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.701 * [taylor]: Taking taylor expansion of R in R 1.701 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify 1 into 1 1.701 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda2 1.701 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 1.701 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.701 * [taylor]: Taking taylor expansion of R in lambda2 1.701 * [backup-simplify]: Simplify R into R 1.701 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda1 1.701 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 1.701 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.701 * [taylor]: Taking taylor expansion of R in lambda1 1.701 * [backup-simplify]: Simplify R into R 1.702 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi2 1.702 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 1.702 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.702 * [taylor]: Taking taylor expansion of R in phi2 1.702 * [backup-simplify]: Simplify R into R 1.702 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi1 1.702 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 1.702 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.702 * [taylor]: Taking taylor expansion of R in phi1 1.702 * [backup-simplify]: Simplify R into R 1.702 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi1 1.702 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 1.703 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.703 * [taylor]: Taking taylor expansion of R in phi1 1.703 * [backup-simplify]: Simplify R into R 1.703 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 1.703 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi2 1.703 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 1.703 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.703 * [taylor]: Taking taylor expansion of R in phi2 1.703 * [backup-simplify]: Simplify R into R 1.704 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 1.704 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda1 1.704 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 1.704 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.704 * [taylor]: Taking taylor expansion of R in lambda1 1.704 * [backup-simplify]: Simplify R into R 1.705 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 1.705 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda2 1.705 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 1.705 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.705 * [taylor]: Taking taylor expansion of R in lambda2 1.705 * [backup-simplify]: Simplify R into R 1.705 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 1.705 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in R 1.705 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in R 1.706 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.706 * [taylor]: Taking taylor expansion of R in R 1.706 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify 1 into 1 1.706 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) into 0 1.706 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 1.706 * [taylor]: Taking taylor expansion of 0 in phi2 1.706 * [backup-simplify]: Simplify 0 into 0 1.706 * [taylor]: Taking taylor expansion of 0 in lambda1 1.706 * [backup-simplify]: Simplify 0 into 0 1.706 * [taylor]: Taking taylor expansion of 0 in lambda2 1.706 * [backup-simplify]: Simplify 0 into 0 1.706 * [taylor]: Taking taylor expansion of 0 in R 1.707 * [backup-simplify]: Simplify 0 into 0 1.707 * [backup-simplify]: Simplify 0 into 0 1.707 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 1.707 * [taylor]: Taking taylor expansion of 0 in lambda1 1.707 * [backup-simplify]: Simplify 0 into 0 1.707 * [taylor]: Taking taylor expansion of 0 in lambda2 1.707 * [backup-simplify]: Simplify 0 into 0 1.707 * [taylor]: Taking taylor expansion of 0 in R 1.707 * [backup-simplify]: Simplify 0 into 0 1.707 * [backup-simplify]: Simplify 0 into 0 1.707 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 1.708 * [taylor]: Taking taylor expansion of 0 in lambda2 1.708 * [backup-simplify]: Simplify 0 into 0 1.708 * [taylor]: Taking taylor expansion of 0 in R 1.708 * [backup-simplify]: Simplify 0 into 0 1.708 * [backup-simplify]: Simplify 0 into 0 1.708 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 1.708 * [taylor]: Taking taylor expansion of 0 in R 1.708 * [backup-simplify]: Simplify 0 into 0 1.708 * [backup-simplify]: Simplify 0 into 0 1.709 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1) (* 0 0)) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.709 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.711 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0 1.711 * [taylor]: Taking taylor expansion of 0 in phi2 1.711 * [backup-simplify]: Simplify 0 into 0 1.711 * [taylor]: Taking taylor expansion of 0 in lambda1 1.711 * [backup-simplify]: Simplify 0 into 0 1.711 * [taylor]: Taking taylor expansion of 0 in lambda2 1.711 * [backup-simplify]: Simplify 0 into 0 1.711 * [taylor]: Taking taylor expansion of 0 in R 1.711 * [backup-simplify]: Simplify 0 into 0 1.711 * [backup-simplify]: Simplify 0 into 0 1.711 * [taylor]: Taking taylor expansion of 0 in lambda1 1.711 * [backup-simplify]: Simplify 0 into 0 1.711 * [taylor]: Taking taylor expansion of 0 in lambda2 1.711 * [backup-simplify]: Simplify 0 into 0 1.711 * [taylor]: Taking taylor expansion of 0 in R 1.711 * [backup-simplify]: Simplify 0 into 0 1.711 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0 1.712 * [taylor]: Taking taylor expansion of 0 in lambda1 1.712 * [backup-simplify]: Simplify 0 into 0 1.712 * [taylor]: Taking taylor expansion of 0 in lambda2 1.712 * [backup-simplify]: Simplify 0 into 0 1.712 * [taylor]: Taking taylor expansion of 0 in R 1.712 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify 0 into 0 1.712 * [taylor]: Taking taylor expansion of 0 in lambda2 1.712 * [backup-simplify]: Simplify 0 into 0 1.712 * [taylor]: Taking taylor expansion of 0 in R 1.712 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify 0 into 0 1.712 * [taylor]: Taking taylor expansion of 0 in lambda2 1.713 * [backup-simplify]: Simplify 0 into 0 1.713 * [taylor]: Taking taylor expansion of 0 in R 1.713 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0 1.713 * [taylor]: Taking taylor expansion of 0 in lambda2 1.713 * [backup-simplify]: Simplify 0 into 0 1.714 * [taylor]: Taking taylor expansion of 0 in R 1.714 * [backup-simplify]: Simplify 0 into 0 1.714 * [backup-simplify]: Simplify 0 into 0 1.714 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) (* R (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 1.715 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) (/ 1 R)) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 1.715 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.715 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in R 1.715 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in R 1.716 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.716 * [taylor]: Taking taylor expansion of R in R 1.716 * [backup-simplify]: Simplify 0 into 0 1.716 * [backup-simplify]: Simplify 1 into 1 1.716 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.716 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in lambda2 1.716 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda2 1.717 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.717 * [taylor]: Taking taylor expansion of R in lambda2 1.717 * [backup-simplify]: Simplify R into R 1.717 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 1.717 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in lambda1 1.717 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda1 1.718 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.718 * [taylor]: Taking taylor expansion of R in lambda1 1.718 * [backup-simplify]: Simplify R into R 1.718 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 1.718 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in phi2 1.719 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi2 1.719 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.719 * [taylor]: Taking taylor expansion of R in phi2 1.719 * [backup-simplify]: Simplify R into R 1.719 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 1.720 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in phi1 1.720 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi1 1.720 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.720 * [taylor]: Taking taylor expansion of R in phi1 1.720 * [backup-simplify]: Simplify R into R 1.720 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 1.721 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in phi1 1.721 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi1 1.721 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.721 * [taylor]: Taking taylor expansion of R in phi1 1.721 * [backup-simplify]: Simplify R into R 1.722 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 1.722 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in phi2 1.722 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi2 1.722 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.722 * [taylor]: Taking taylor expansion of R in phi2 1.722 * [backup-simplify]: Simplify R into R 1.723 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 1.723 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in lambda1 1.723 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda1 1.723 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.723 * [taylor]: Taking taylor expansion of R in lambda1 1.723 * [backup-simplify]: Simplify R into R 1.724 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 1.724 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in lambda2 1.724 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda2 1.724 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.724 * [taylor]: Taking taylor expansion of R in lambda2 1.724 * [backup-simplify]: Simplify R into R 1.725 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 1.725 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in R 1.725 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in R 1.725 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.725 * [taylor]: Taking taylor expansion of R in R 1.725 * [backup-simplify]: Simplify 0 into 0 1.725 * [backup-simplify]: Simplify 1 into 1 1.726 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.726 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.727 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)))) into 0 1.727 * [taylor]: Taking taylor expansion of 0 in phi2 1.727 * [backup-simplify]: Simplify 0 into 0 1.727 * [taylor]: Taking taylor expansion of 0 in lambda1 1.727 * [backup-simplify]: Simplify 0 into 0 1.727 * [taylor]: Taking taylor expansion of 0 in lambda2 1.727 * [backup-simplify]: Simplify 0 into 0 1.727 * [taylor]: Taking taylor expansion of 0 in R 1.727 * [backup-simplify]: Simplify 0 into 0 1.728 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)))) into 0 1.728 * [taylor]: Taking taylor expansion of 0 in lambda1 1.728 * [backup-simplify]: Simplify 0 into 0 1.728 * [taylor]: Taking taylor expansion of 0 in lambda2 1.728 * [backup-simplify]: Simplify 0 into 0 1.728 * [taylor]: Taking taylor expansion of 0 in R 1.728 * [backup-simplify]: Simplify 0 into 0 1.729 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)))) into 0 1.729 * [taylor]: Taking taylor expansion of 0 in lambda2 1.729 * [backup-simplify]: Simplify 0 into 0 1.729 * [taylor]: Taking taylor expansion of 0 in R 1.729 * [backup-simplify]: Simplify 0 into 0 1.730 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)))) into 0 1.730 * [taylor]: Taking taylor expansion of 0 in R 1.730 * [backup-simplify]: Simplify 0 into 0 1.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) (/ 0 1)))) into 0 1.731 * [backup-simplify]: Simplify 0 into 0 1.732 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.732 * [taylor]: Taking taylor expansion of 0 in phi2 1.732 * [backup-simplify]: Simplify 0 into 0 1.732 * [taylor]: Taking taylor expansion of 0 in lambda1 1.732 * [backup-simplify]: Simplify 0 into 0 1.732 * [taylor]: Taking taylor expansion of 0 in lambda2 1.732 * [backup-simplify]: Simplify 0 into 0 1.732 * [taylor]: Taking taylor expansion of 0 in R 1.732 * [backup-simplify]: Simplify 0 into 0 1.732 * [taylor]: Taking taylor expansion of 0 in lambda1 1.732 * [backup-simplify]: Simplify 0 into 0 1.732 * [taylor]: Taking taylor expansion of 0 in lambda2 1.732 * [backup-simplify]: Simplify 0 into 0 1.732 * [taylor]: Taking taylor expansion of 0 in R 1.732 * [backup-simplify]: Simplify 0 into 0 1.733 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.733 * [taylor]: Taking taylor expansion of 0 in lambda1 1.733 * [backup-simplify]: Simplify 0 into 0 1.733 * [taylor]: Taking taylor expansion of 0 in lambda2 1.733 * [backup-simplify]: Simplify 0 into 0 1.733 * [taylor]: Taking taylor expansion of 0 in R 1.733 * [backup-simplify]: Simplify 0 into 0 1.733 * [taylor]: Taking taylor expansion of 0 in lambda2 1.733 * [backup-simplify]: Simplify 0 into 0 1.733 * [taylor]: Taking taylor expansion of 0 in R 1.733 * [backup-simplify]: Simplify 0 into 0 1.733 * [taylor]: Taking taylor expansion of 0 in lambda2 1.733 * [backup-simplify]: Simplify 0 into 0 1.734 * [taylor]: Taking taylor expansion of 0 in R 1.734 * [backup-simplify]: Simplify 0 into 0 1.734 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.734 * [taylor]: Taking taylor expansion of 0 in lambda2 1.734 * [backup-simplify]: Simplify 0 into 0 1.734 * [taylor]: Taking taylor expansion of 0 in R 1.734 * [backup-simplify]: Simplify 0 into 0 1.734 * [taylor]: Taking taylor expansion of 0 in R 1.734 * [backup-simplify]: Simplify 0 into 0 1.734 * [taylor]: Taking taylor expansion of 0 in R 1.734 * [backup-simplify]: Simplify 0 into 0 1.734 * [taylor]: Taking taylor expansion of 0 in R 1.735 * [backup-simplify]: Simplify 0 into 0 1.735 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.735 * [taylor]: Taking taylor expansion of 0 in R 1.735 * [backup-simplify]: Simplify 0 into 0 1.735 * [backup-simplify]: Simplify 0 into 0 1.735 * [backup-simplify]: Simplify 0 into 0 1.735 * [backup-simplify]: Simplify 0 into 0 1.735 * [backup-simplify]: Simplify 0 into 0 1.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.738 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) (cos (/ 1 (/ 1 phi1))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 1.739 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) (/ 1 (- R))) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) 1.739 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 1.739 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in R 1.740 * [taylor]: Taking taylor expansion of -1 in R 1.740 * [backup-simplify]: Simplify -1 into -1 1.740 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in R 1.740 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in R 1.740 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.740 * [taylor]: Taking taylor expansion of R in R 1.740 * [backup-simplify]: Simplify 0 into 0 1.740 * [backup-simplify]: Simplify 1 into 1 1.741 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.741 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda2 1.741 * [taylor]: Taking taylor expansion of -1 in lambda2 1.741 * [backup-simplify]: Simplify -1 into -1 1.741 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda2 1.741 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda2 1.741 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.741 * [taylor]: Taking taylor expansion of R in lambda2 1.741 * [backup-simplify]: Simplify R into R 1.742 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 1.742 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda1 1.742 * [taylor]: Taking taylor expansion of -1 in lambda1 1.742 * [backup-simplify]: Simplify -1 into -1 1.742 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda1 1.742 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda1 1.742 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.742 * [taylor]: Taking taylor expansion of R in lambda1 1.742 * [backup-simplify]: Simplify R into R 1.743 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 1.743 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi2 1.743 * [taylor]: Taking taylor expansion of -1 in phi2 1.743 * [backup-simplify]: Simplify -1 into -1 1.743 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi2 1.743 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi2 1.743 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.743 * [taylor]: Taking taylor expansion of R in phi2 1.743 * [backup-simplify]: Simplify R into R 1.744 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 1.744 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi1 1.744 * [taylor]: Taking taylor expansion of -1 in phi1 1.744 * [backup-simplify]: Simplify -1 into -1 1.744 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi1 1.744 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi1 1.745 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.745 * [taylor]: Taking taylor expansion of R in phi1 1.745 * [backup-simplify]: Simplify R into R 1.745 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 1.745 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi1 1.745 * [taylor]: Taking taylor expansion of -1 in phi1 1.745 * [backup-simplify]: Simplify -1 into -1 1.745 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi1 1.745 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi1 1.746 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.746 * [taylor]: Taking taylor expansion of R in phi1 1.746 * [backup-simplify]: Simplify R into R 1.746 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 1.747 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) 1.747 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi2 1.747 * [taylor]: Taking taylor expansion of -1 in phi2 1.747 * [backup-simplify]: Simplify -1 into -1 1.747 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi2 1.747 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi2 1.747 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.747 * [taylor]: Taking taylor expansion of R in phi2 1.747 * [backup-simplify]: Simplify R into R 1.748 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 1.748 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) 1.748 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda1 1.748 * [taylor]: Taking taylor expansion of -1 in lambda1 1.748 * [backup-simplify]: Simplify -1 into -1 1.749 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda1 1.749 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda1 1.749 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.749 * [taylor]: Taking taylor expansion of R in lambda1 1.749 * [backup-simplify]: Simplify R into R 1.749 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 1.750 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) 1.750 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda2 1.750 * [taylor]: Taking taylor expansion of -1 in lambda2 1.750 * [backup-simplify]: Simplify -1 into -1 1.750 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda2 1.750 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda2 1.751 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.751 * [taylor]: Taking taylor expansion of R in lambda2 1.751 * [backup-simplify]: Simplify R into R 1.751 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 1.752 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) 1.752 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in R 1.752 * [taylor]: Taking taylor expansion of -1 in R 1.752 * [backup-simplify]: Simplify -1 into -1 1.752 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in R 1.752 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in R 1.752 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.752 * [taylor]: Taking taylor expansion of R in R 1.752 * [backup-simplify]: Simplify 0 into 0 1.752 * [backup-simplify]: Simplify 1 into 1 1.753 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.753 * [backup-simplify]: Simplify (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))) into (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))) 1.754 * [backup-simplify]: Simplify (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))) into (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))) 1.754 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0 1.756 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0 1.756 * [taylor]: Taking taylor expansion of 0 in phi2 1.756 * [backup-simplify]: Simplify 0 into 0 1.756 * [taylor]: Taking taylor expansion of 0 in lambda1 1.756 * [backup-simplify]: Simplify 0 into 0 1.756 * [taylor]: Taking taylor expansion of 0 in lambda2 1.756 * [backup-simplify]: Simplify 0 into 0 1.756 * [taylor]: Taking taylor expansion of 0 in R 1.756 * [backup-simplify]: Simplify 0 into 0 1.756 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0 1.757 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0 1.758 * [taylor]: Taking taylor expansion of 0 in lambda1 1.758 * [backup-simplify]: Simplify 0 into 0 1.758 * [taylor]: Taking taylor expansion of 0 in lambda2 1.758 * [backup-simplify]: Simplify 0 into 0 1.758 * [taylor]: Taking taylor expansion of 0 in R 1.758 * [backup-simplify]: Simplify 0 into 0 1.758 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0 1.759 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0 1.759 * [taylor]: Taking taylor expansion of 0 in lambda2 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [taylor]: Taking taylor expansion of 0 in R 1.759 * [backup-simplify]: Simplify 0 into 0 1.760 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0 1.761 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0 1.761 * [taylor]: Taking taylor expansion of 0 in R 1.761 * [backup-simplify]: Simplify 0 into 0 1.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) (/ 0 1)))) into 0 1.764 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))))) into 0 1.764 * [backup-simplify]: Simplify 0 into 0 1.764 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.765 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0 1.765 * [taylor]: Taking taylor expansion of 0 in phi2 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [taylor]: Taking taylor expansion of 0 in lambda1 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [taylor]: Taking taylor expansion of 0 in lambda2 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [taylor]: Taking taylor expansion of 0 in R 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [taylor]: Taking taylor expansion of 0 in lambda1 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [taylor]: Taking taylor expansion of 0 in lambda2 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [taylor]: Taking taylor expansion of 0 in R 1.765 * [backup-simplify]: Simplify 0 into 0 1.766 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.766 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0 1.767 * [taylor]: Taking taylor expansion of 0 in lambda1 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [taylor]: Taking taylor expansion of 0 in lambda2 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [taylor]: Taking taylor expansion of 0 in R 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [taylor]: Taking taylor expansion of 0 in lambda2 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [taylor]: Taking taylor expansion of 0 in R 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [taylor]: Taking taylor expansion of 0 in lambda2 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [taylor]: Taking taylor expansion of 0 in R 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.768 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0 1.768 * [taylor]: Taking taylor expansion of 0 in lambda2 1.768 * [backup-simplify]: Simplify 0 into 0 1.768 * [taylor]: Taking taylor expansion of 0 in R 1.768 * [backup-simplify]: Simplify 0 into 0 1.768 * [taylor]: Taking taylor expansion of 0 in R 1.768 * [backup-simplify]: Simplify 0 into 0 1.768 * [taylor]: Taking taylor expansion of 0 in R 1.768 * [backup-simplify]: Simplify 0 into 0 1.768 * [taylor]: Taking taylor expansion of 0 in R 1.768 * [backup-simplify]: Simplify 0 into 0 1.768 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.769 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0 1.769 * [taylor]: Taking taylor expansion of 0 in R 1.769 * [backup-simplify]: Simplify 0 into 0 1.769 * [backup-simplify]: Simplify 0 into 0 1.769 * [backup-simplify]: Simplify 0 into 0 1.769 * [backup-simplify]: Simplify 0 into 0 1.769 * [backup-simplify]: Simplify 0 into 0 1.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.771 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))))) into 0 1.771 * [backup-simplify]: Simplify 0 into 0 1.772 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1)))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 1.772 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.772 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2)) 1.772 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 1.772 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 1.772 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 1.772 * [taylor]: Taking taylor expansion of phi1 in phi2 1.772 * [backup-simplify]: Simplify phi1 into phi1 1.772 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 1.772 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 1.772 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.772 * [taylor]: Taking taylor expansion of phi2 in phi2 1.772 * [backup-simplify]: Simplify 0 into 0 1.772 * [backup-simplify]: Simplify 1 into 1 1.772 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.772 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.772 * [taylor]: Taking taylor expansion of phi1 in phi1 1.772 * [backup-simplify]: Simplify 0 into 0 1.772 * [backup-simplify]: Simplify 1 into 1 1.772 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.772 * [taylor]: Taking taylor expansion of phi2 in phi1 1.772 * [backup-simplify]: Simplify phi2 into phi2 1.772 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 1.772 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 1.772 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.772 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.772 * [taylor]: Taking taylor expansion of phi1 in phi1 1.772 * [backup-simplify]: Simplify 0 into 0 1.772 * [backup-simplify]: Simplify 1 into 1 1.772 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.772 * [taylor]: Taking taylor expansion of phi2 in phi1 1.772 * [backup-simplify]: Simplify phi2 into phi2 1.773 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 1.773 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 1.773 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 1.773 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 1.773 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 1.773 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 1.773 * [taylor]: Taking taylor expansion of 0 in phi2 1.773 * [backup-simplify]: Simplify 0 into 0 1.773 * [backup-simplify]: Simplify 0 into 0 1.773 * [backup-simplify]: Simplify (+ 0) into 0 1.774 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 1.774 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.774 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 1.775 * [backup-simplify]: Simplify (+ 0 0) into 0 1.775 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.775 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 1.775 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.775 * [taylor]: Taking taylor expansion of phi2 in phi2 1.775 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify 1 into 1 1.775 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify 0 into 0 1.776 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.776 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 1.777 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.777 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 1.777 * [backup-simplify]: Simplify (+ 0 0) into 0 1.778 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.778 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 1.778 * [taylor]: Taking taylor expansion of 0 in phi2 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify 0 into 0 1.784 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.784 * [backup-simplify]: Simplify 1 into 1 1.784 * [backup-simplify]: Simplify 0 into 0 1.785 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.785 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.786 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.786 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.787 * [backup-simplify]: Simplify (+ 0 0) into 0 1.788 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.788 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 1.788 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 1.788 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 1.788 * [taylor]: Taking taylor expansion of 1/6 in phi2 1.788 * [backup-simplify]: Simplify 1/6 into 1/6 1.788 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.788 * [taylor]: Taking taylor expansion of phi2 in phi2 1.788 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify 1 into 1 1.789 * [backup-simplify]: Simplify (* 1/6 0) into 0 1.789 * [backup-simplify]: Simplify (- 0) into 0 1.789 * [backup-simplify]: Simplify 0 into 0 1.789 * [backup-simplify]: Simplify 0 into 0 1.790 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.790 * [backup-simplify]: Simplify 0 into 0 1.790 * [backup-simplify]: Simplify 0 into 0 1.791 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 1.792 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.792 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.793 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.793 * [backup-simplify]: Simplify (+ 0 0) into 0 1.794 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.795 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 1.795 * [taylor]: Taking taylor expansion of 0 in phi2 1.795 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2) 1.795 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 1.795 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0 1.795 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 1.795 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.795 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.795 * [taylor]: Taking taylor expansion of phi2 in phi2 1.795 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify 1 into 1 1.795 * [backup-simplify]: Simplify (/ 1 1) into 1 1.796 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.796 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.796 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.796 * [taylor]: Taking taylor expansion of phi1 in phi2 1.796 * [backup-simplify]: Simplify phi1 into phi1 1.796 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.796 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.796 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.796 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 1.796 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.796 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.796 * [taylor]: Taking taylor expansion of phi2 in phi1 1.796 * [backup-simplify]: Simplify phi2 into phi2 1.796 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.796 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.796 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.796 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.796 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.796 * [taylor]: Taking taylor expansion of phi1 in phi1 1.796 * [backup-simplify]: Simplify 0 into 0 1.796 * [backup-simplify]: Simplify 1 into 1 1.796 * [backup-simplify]: Simplify (/ 1 1) into 1 1.797 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.797 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 1.797 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.797 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.797 * [taylor]: Taking taylor expansion of phi2 in phi1 1.797 * [backup-simplify]: Simplify phi2 into phi2 1.797 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.797 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.797 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.797 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.797 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.797 * [taylor]: Taking taylor expansion of phi1 in phi1 1.797 * [backup-simplify]: Simplify 0 into 0 1.797 * [backup-simplify]: Simplify 1 into 1 1.797 * [backup-simplify]: Simplify (/ 1 1) into 1 1.797 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.798 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 1.798 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 1.798 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 1.798 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 1.798 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 1.798 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.798 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.798 * [taylor]: Taking taylor expansion of phi2 in phi2 1.798 * [backup-simplify]: Simplify 0 into 0 1.798 * [backup-simplify]: Simplify 1 into 1 1.798 * [backup-simplify]: Simplify (/ 1 1) into 1 1.799 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.799 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.799 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.799 * [taylor]: Taking taylor expansion of phi1 in phi2 1.799 * [backup-simplify]: Simplify phi1 into phi1 1.799 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.799 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.799 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.799 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 1.799 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 1.799 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 1.799 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 1.799 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 1.800 * [backup-simplify]: Simplify (+ 0) into 0 1.800 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 1.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.801 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.802 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 1.802 * [backup-simplify]: Simplify (+ 0 0) into 0 1.802 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 1.802 * [taylor]: Taking taylor expansion of 0 in phi2 1.802 * [backup-simplify]: Simplify 0 into 0 1.803 * [backup-simplify]: Simplify 0 into 0 1.803 * [backup-simplify]: Simplify (+ 0) into 0 1.803 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 1.803 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.804 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.805 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 1.805 * [backup-simplify]: Simplify (+ 0 0) into 0 1.805 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 1.805 * [backup-simplify]: Simplify 0 into 0 1.806 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.807 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.808 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.809 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.809 * [backup-simplify]: Simplify (+ 0 0) into 0 1.809 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 1.810 * [taylor]: Taking taylor expansion of 0 in phi2 1.810 * [backup-simplify]: Simplify 0 into 0 1.810 * [backup-simplify]: Simplify 0 into 0 1.810 * [backup-simplify]: Simplify 0 into 0 1.811 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.811 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 1.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.812 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.813 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 1.813 * [backup-simplify]: Simplify (+ 0 0) into 0 1.814 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 1.814 * [backup-simplify]: Simplify 0 into 0 1.814 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.815 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.816 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.817 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.818 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.818 * [backup-simplify]: Simplify (+ 0 0) into 0 1.819 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0 1.819 * [taylor]: Taking taylor expansion of 0 in phi2 1.819 * [backup-simplify]: Simplify 0 into 0 1.819 * [backup-simplify]: Simplify 0 into 0 1.819 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2)) 1.820 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.820 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 1.820 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.820 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.820 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.820 * [taylor]: Taking taylor expansion of -1 in phi2 1.820 * [backup-simplify]: Simplify -1 into -1 1.820 * [taylor]: Taking taylor expansion of phi1 in phi2 1.820 * [backup-simplify]: Simplify phi1 into phi1 1.820 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 1.820 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.820 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.820 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.820 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.820 * [taylor]: Taking taylor expansion of -1 in phi2 1.820 * [backup-simplify]: Simplify -1 into -1 1.820 * [taylor]: Taking taylor expansion of phi2 in phi2 1.820 * [backup-simplify]: Simplify 0 into 0 1.820 * [backup-simplify]: Simplify 1 into 1 1.821 * [backup-simplify]: Simplify (/ -1 1) into -1 1.821 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.821 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.821 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.821 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.821 * [taylor]: Taking taylor expansion of -1 in phi1 1.821 * [backup-simplify]: Simplify -1 into -1 1.821 * [taylor]: Taking taylor expansion of phi1 in phi1 1.821 * [backup-simplify]: Simplify 0 into 0 1.821 * [backup-simplify]: Simplify 1 into 1 1.822 * [backup-simplify]: Simplify (/ -1 1) into -1 1.822 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.822 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.822 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.822 * [taylor]: Taking taylor expansion of -1 in phi1 1.822 * [backup-simplify]: Simplify -1 into -1 1.822 * [taylor]: Taking taylor expansion of phi2 in phi1 1.822 * [backup-simplify]: Simplify phi2 into phi2 1.822 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 1.822 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.822 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.822 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.822 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.822 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.822 * [taylor]: Taking taylor expansion of -1 in phi1 1.822 * [backup-simplify]: Simplify -1 into -1 1.822 * [taylor]: Taking taylor expansion of phi1 in phi1 1.822 * [backup-simplify]: Simplify 0 into 0 1.822 * [backup-simplify]: Simplify 1 into 1 1.823 * [backup-simplify]: Simplify (/ -1 1) into -1 1.823 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.823 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.823 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.823 * [taylor]: Taking taylor expansion of -1 in phi1 1.823 * [backup-simplify]: Simplify -1 into -1 1.823 * [taylor]: Taking taylor expansion of phi2 in phi1 1.823 * [backup-simplify]: Simplify phi2 into phi2 1.823 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 1.823 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.823 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.823 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 1.823 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 1.824 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 1.824 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.824 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.824 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.824 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.824 * [taylor]: Taking taylor expansion of -1 in phi2 1.824 * [backup-simplify]: Simplify -1 into -1 1.824 * [taylor]: Taking taylor expansion of phi1 in phi2 1.824 * [backup-simplify]: Simplify phi1 into phi1 1.824 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 1.824 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.824 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.824 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.824 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.824 * [taylor]: Taking taylor expansion of -1 in phi2 1.824 * [backup-simplify]: Simplify -1 into -1 1.824 * [taylor]: Taking taylor expansion of phi2 in phi2 1.824 * [backup-simplify]: Simplify 0 into 0 1.824 * [backup-simplify]: Simplify 1 into 1 1.825 * [backup-simplify]: Simplify (/ -1 1) into -1 1.825 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.825 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 1.825 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 1.825 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 1.825 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.825 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.826 * [backup-simplify]: Simplify (+ 0) into 0 1.826 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 1.826 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 1.827 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.828 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 1.828 * [backup-simplify]: Simplify (+ 0 0) into 0 1.828 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 1.828 * [taylor]: Taking taylor expansion of 0 in phi2 1.828 * [backup-simplify]: Simplify 0 into 0 1.828 * [backup-simplify]: Simplify 0 into 0 1.829 * [backup-simplify]: Simplify (+ 0) into 0 1.829 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 1.829 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 1.830 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.831 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 1.831 * [backup-simplify]: Simplify (+ 0 0) into 0 1.831 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 1.831 * [backup-simplify]: Simplify 0 into 0 1.832 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.833 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.833 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.834 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.834 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.835 * [backup-simplify]: Simplify (+ 0 0) into 0 1.835 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 1.835 * [taylor]: Taking taylor expansion of 0 in phi2 1.835 * [backup-simplify]: Simplify 0 into 0 1.835 * [backup-simplify]: Simplify 0 into 0 1.835 * [backup-simplify]: Simplify 0 into 0 1.836 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.837 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 1.837 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.838 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.839 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 1.839 * [backup-simplify]: Simplify (+ 0 0) into 0 1.839 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 1.839 * [backup-simplify]: Simplify 0 into 0 1.840 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.841 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.842 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.843 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.844 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.844 * [backup-simplify]: Simplify (+ 0 0) into 0 1.845 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 1.845 * [taylor]: Taking taylor expansion of 0 in phi2 1.845 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify 0 into 0 1.846 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 1.846 * * * [progress]: simplifying candidates 1.846 * * * * [progress]: [ 1 / 71 ] simplifiying candidate # 1.846 * [simplify]: Simplifying (* (cos lambda1) (cos (- lambda2))) 1.846 * * [simplify]: iters left: 5 (6 enodes) 1.849 * * [simplify]: iters left: 4 (20 enodes) 1.854 * * [simplify]: Extracting #0: cost 1 inf + 0 1.854 * * [simplify]: Extracting #1: cost 4 inf + 0 1.854 * * [simplify]: Extracting #2: cost 9 inf + 0 1.854 * * [simplify]: Extracting #3: cost 5 inf + 165 1.854 * * [simplify]: Extracting #4: cost 0 inf + 652 1.855 * [simplify]: Simplified to (* (cos lambda1) (cos lambda2)) 1.855 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) 1.855 * [simplify]: Simplifying (* (sin lambda1) (sin (- lambda2))) 1.855 * * [simplify]: iters left: 5 (6 enodes) 1.858 * * [simplify]: iters left: 4 (21 enodes) 1.863 * * [simplify]: iters left: 3 (27 enodes) 1.871 * * [simplify]: iters left: 2 (34 enodes) 1.879 * * [simplify]: iters left: 1 (36 enodes) 1.887 * * [simplify]: Extracting #0: cost 1 inf + 0 1.887 * * [simplify]: Extracting #1: cost 7 inf + 0 1.887 * * [simplify]: Extracting #2: cost 15 inf + 0 1.887 * * [simplify]: Extracting #3: cost 11 inf + 165 1.887 * * [simplify]: Extracting #4: cost 6 inf + 671 1.888 * * [simplify]: Extracting #5: cost 1 inf + 1359 1.888 * * [simplify]: Extracting #6: cost 0 inf + 1460 1.889 * [simplify]: Simplified to (* (sin lambda1) (- (sin lambda2))) 1.889 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (- (sin lambda2))))))) R)) 1.889 * * * * [progress]: [ 2 / 71 ] simplifiying candidate # 1.889 * [simplify]: Simplifying (* (cos lambda1) (cos (- lambda2))) 1.889 * * [simplify]: iters left: 5 (6 enodes) 1.892 * * [simplify]: iters left: 4 (20 enodes) 1.894 * * [simplify]: Extracting #0: cost 1 inf + 0 1.894 * * [simplify]: Extracting #1: cost 4 inf + 0 1.894 * * [simplify]: Extracting #2: cost 9 inf + 0 1.895 * * [simplify]: Extracting #3: cost 5 inf + 165 1.895 * * [simplify]: Extracting #4: cost 0 inf + 652 1.895 * [simplify]: Simplified to (* (cos lambda1) (cos lambda2)) 1.895 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) 1.895 * [simplify]: Simplifying (* (sin lambda1) (sin (- lambda2))) 1.895 * * [simplify]: iters left: 5 (6 enodes) 1.896 * * [simplify]: iters left: 4 (21 enodes) 1.899 * * [simplify]: iters left: 3 (27 enodes) 1.903 * * [simplify]: iters left: 2 (34 enodes) 1.906 * * [simplify]: iters left: 1 (36 enodes) 1.911 * * [simplify]: Extracting #0: cost 1 inf + 0 1.911 * * [simplify]: Extracting #1: cost 7 inf + 0 1.911 * * [simplify]: Extracting #2: cost 15 inf + 0 1.911 * * [simplify]: Extracting #3: cost 11 inf + 165 1.911 * * [simplify]: Extracting #4: cost 6 inf + 671 1.911 * * [simplify]: Extracting #5: cost 1 inf + 1359 1.912 * * [simplify]: Extracting #6: cost 0 inf + 1460 1.914 * [simplify]: Simplified to (* (sin lambda1) (- (sin lambda2))) 1.914 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (- (sin lambda2))))))) R)) 1.915 * * * * [progress]: [ 3 / 71 ] simplifiying candidate # 1.915 * [simplify]: Simplifying (* (cos lambda1) (cos lambda2)) 1.915 * * [simplify]: iters left: 3 (5 enodes) 1.916 * * [simplify]: iters left: 2 (16 enodes) 1.918 * * [simplify]: Extracting #0: cost 1 inf + 0 1.918 * * [simplify]: Extracting #1: cost 4 inf + 0 1.918 * * [simplify]: Extracting #2: cost 8 inf + 0 1.918 * * [simplify]: Extracting #3: cost 4 inf + 124 1.918 * * [simplify]: Extracting #4: cost 0 inf + 570 1.918 * [simplify]: Simplified to (* (cos lambda2) (cos lambda1)) 1.918 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2)))))) R)) 1.919 * [simplify]: Simplifying (* (sin lambda1) (sin lambda2)) 1.919 * * [simplify]: iters left: 3 (5 enodes) 1.920 * * [simplify]: iters left: 2 (16 enodes) 1.922 * * [simplify]: Extracting #0: cost 1 inf + 0 1.922 * * [simplify]: Extracting #1: cost 4 inf + 0 1.922 * * [simplify]: Extracting #2: cost 8 inf + 0 1.922 * * [simplify]: Extracting #3: cost 4 inf + 124 1.922 * * [simplify]: Extracting #4: cost 0 inf + 570 1.922 * [simplify]: Simplified to (* (sin lambda2) (sin lambda1)) 1.922 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R)) 1.922 * * * * [progress]: [ 4 / 71 ] simplifiying candidate # 1.922 * * * * [progress]: [ 5 / 71 ] simplifiying candidate # 1.923 * [simplify]: Simplifying (log (cos (- lambda1 lambda2))) 1.923 * * [simplify]: iters left: 4 (5 enodes) 1.924 * * [simplify]: iters left: 3 (17 enodes) 1.926 * * [simplify]: iters left: 2 (20 enodes) 1.928 * * [simplify]: Extracting #0: cost 1 inf + 0 1.928 * * [simplify]: Extracting #1: cost 3 inf + 0 1.929 * * [simplify]: Extracting #2: cost 5 inf + 0 1.929 * * [simplify]: Extracting #3: cost 9 inf + 0 1.929 * * [simplify]: Extracting #4: cost 7 inf + 43 1.929 * * [simplify]: Extracting #5: cost 0 inf + 716 1.929 * [simplify]: Simplified to (log (cos (- lambda1 lambda2))) 1.929 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (exp (log (cos (- lambda1 lambda2))))))) R)) 1.929 * * * * [progress]: [ 6 / 71 ] simplifiying candidate # 1.929 * [simplify]: Simplifying (exp (cos (- lambda1 lambda2))) 1.929 * * [simplify]: iters left: 4 (5 enodes) 1.930 * * [simplify]: iters left: 3 (17 enodes) 1.933 * * [simplify]: iters left: 2 (20 enodes) 1.936 * * [simplify]: Extracting #0: cost 1 inf + 0 1.936 * * [simplify]: Extracting #1: cost 3 inf + 0 1.936 * * [simplify]: Extracting #2: cost 5 inf + 0 1.936 * * [simplify]: Extracting #3: cost 9 inf + 0 1.936 * * [simplify]: Extracting #4: cost 7 inf + 43 1.936 * * [simplify]: Extracting #5: cost 0 inf + 716 1.936 * [simplify]: Simplified to (exp (cos (- lambda1 lambda2))) 1.936 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (log (exp (cos (- lambda1 lambda2))))))) R)) 1.936 * * * * [progress]: [ 7 / 71 ] simplifiying candidate # 1.936 * [simplify]: Simplifying (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) 1.937 * * [simplify]: iters left: 6 (6 enodes) 1.938 * * [simplify]: iters left: 5 (20 enodes) 1.941 * * [simplify]: iters left: 4 (23 enodes) 1.947 * * [simplify]: Extracting #0: cost 1 inf + 0 1.947 * * [simplify]: Extracting #1: cost 3 inf + 0 1.947 * * [simplify]: Extracting #2: cost 5 inf + 0 1.947 * * [simplify]: Extracting #3: cost 7 inf + 0 1.947 * * [simplify]: Extracting #4: cost 11 inf + 0 1.947 * * [simplify]: Extracting #5: cost 10 inf + 2 1.947 * * [simplify]: Extracting #6: cost 0 inf + 1180 1.948 * [simplify]: Simplified to (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) 1.948 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (* (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))))))) R)) 1.948 * [simplify]: Simplifying (cbrt (cos (- lambda1 lambda2))) 1.948 * * [simplify]: iters left: 4 (5 enodes) 1.950 * * [simplify]: iters left: 3 (17 enodes) 1.955 * * [simplify]: iters left: 2 (20 enodes) 1.960 * * [simplify]: Extracting #0: cost 1 inf + 0 1.960 * * [simplify]: Extracting #1: cost 3 inf + 0 1.960 * * [simplify]: Extracting #2: cost 5 inf + 0 1.960 * * [simplify]: Extracting #3: cost 9 inf + 0 1.960 * * [simplify]: Extracting #4: cost 7 inf + 43 1.961 * * [simplify]: Extracting #5: cost 0 inf + 736 1.961 * [simplify]: Simplified to (cbrt (cos (- lambda1 lambda2))) 1.961 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (* (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))))))) R)) 1.961 * * * * [progress]: [ 8 / 71 ] simplifiying candidate # 1.962 * [simplify]: Simplifying (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))) 1.962 * * [simplify]: iters left: 6 (6 enodes) 1.964 * * [simplify]: iters left: 5 (21 enodes) 1.970 * * [simplify]: iters left: 4 (26 enodes) 1.979 * * [simplify]: iters left: 3 (33 enodes) 1.991 * * [simplify]: iters left: 2 (47 enodes) 2.009 * * [simplify]: iters left: 1 (73 enodes) 2.035 * * [simplify]: Extracting #0: cost 1 inf + 0 2.035 * * [simplify]: Extracting #1: cost 9 inf + 0 2.035 * * [simplify]: Extracting #2: cost 18 inf + 1 2.035 * * [simplify]: Extracting #3: cost 23 inf + 3 2.035 * * [simplify]: Extracting #4: cost 22 inf + 6 2.035 * * [simplify]: Extracting #5: cost 13 inf + 973 2.037 * * [simplify]: Extracting #6: cost 0 inf + 5472 2.038 * [simplify]: Simplified to (* (cos (- lambda1 lambda2)) (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)))) 2.038 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cbrt (* (cos (- lambda1 lambda2)) (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)))))))) R)) 2.038 * * * * [progress]: [ 9 / 71 ] simplifiying candidate # 2.038 * [simplify]: Simplifying (sqrt (cos (- lambda1 lambda2))) 2.038 * * [simplify]: iters left: 4 (5 enodes) 2.041 * * [simplify]: iters left: 3 (17 enodes) 2.045 * * [simplify]: iters left: 2 (20 enodes) 2.051 * * [simplify]: Extracting #0: cost 1 inf + 0 2.051 * * [simplify]: Extracting #1: cost 3 inf + 0 2.051 * * [simplify]: Extracting #2: cost 5 inf + 0 2.051 * * [simplify]: Extracting #3: cost 9 inf + 0 2.051 * * [simplify]: Extracting #4: cost 7 inf + 43 2.051 * * [simplify]: Extracting #5: cost 0 inf + 656 2.051 * [simplify]: Simplified to (sqrt (cos (- lambda1 lambda2))) 2.051 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (* (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))))))) R)) 2.051 * [simplify]: Simplifying (sqrt (cos (- lambda1 lambda2))) 2.051 * * [simplify]: iters left: 4 (5 enodes) 2.053 * * [simplify]: iters left: 3 (17 enodes) 2.055 * * [simplify]: iters left: 2 (20 enodes) 2.057 * * [simplify]: Extracting #0: cost 1 inf + 0 2.057 * * [simplify]: Extracting #1: cost 3 inf + 0 2.057 * * [simplify]: Extracting #2: cost 5 inf + 0 2.057 * * [simplify]: Extracting #3: cost 9 inf + 0 2.057 * * [simplify]: Extracting #4: cost 7 inf + 43 2.057 * * [simplify]: Extracting #5: cost 0 inf + 656 2.058 * [simplify]: Simplified to (sqrt (cos (- lambda1 lambda2))) 2.058 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (* (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))))))) R)) 2.058 * * * * [progress]: [ 10 / 71 ] simplifiying candidate # 2.058 * * * * [progress]: [ 11 / 71 ] simplifiying candidate #real (real->posit16 (cos (- lambda1 lambda2))))))) R))> 2.058 * [simplify]: Simplifying (real->posit16 (cos (- lambda1 lambda2))) 2.058 * * [simplify]: iters left: 4 (5 enodes) 2.059 * * [simplify]: iters left: 3 (14 enodes) 2.061 * * [simplify]: iters left: 2 (17 enodes) 2.063 * * [simplify]: Extracting #0: cost 1 inf + 0 2.063 * * [simplify]: Extracting #1: cost 2 inf + 0 2.063 * * [simplify]: Extracting #2: cost 3 inf + 0 2.063 * * [simplify]: Extracting #3: cost 7 inf + 0 2.063 * * [simplify]: Extracting #4: cost 5 inf + 43 2.063 * * [simplify]: Extracting #5: cost 0 inf + 372 2.063 * [simplify]: Simplified to (real->posit16 (cos (- lambda1 lambda2))) 2.063 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (posit16->real (real->posit16 (cos (- lambda1 lambda2))))))) R)) 2.064 * * * * [progress]: [ 12 / 71 ] simplifiying candidate # 2.064 * [simplify]: Simplifying (/ PI 2) 2.064 * * [simplify]: iters left: 2 (3 enodes) 2.065 * * [simplify]: iters left: 1 (9 enodes) 2.067 * * [simplify]: Extracting #0: cost 1 inf + 0 2.067 * * [simplify]: Extracting #1: cost 4 inf + 0 2.067 * * [simplify]: Extracting #2: cost 2 inf + 2 2.067 * * [simplify]: Extracting #3: cost 0 inf + 86 2.067 * [simplify]: Simplified to (/ PI 2) 2.067 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R)) 2.067 * [simplify]: Simplifying (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 2.067 * * [simplify]: iters left: 6 (15 enodes) 2.070 * * [simplify]: iters left: 5 (53 enodes) 2.083 * * [simplify]: iters left: 4 (64 enodes) 2.100 * * [simplify]: iters left: 3 (69 enodes) 2.117 * * [simplify]: Extracting #0: cost 1 inf + 0 2.118 * * [simplify]: Extracting #1: cost 3 inf + 0 2.118 * * [simplify]: Extracting #2: cost 6 inf + 0 2.118 * * [simplify]: Extracting #3: cost 16 inf + 0 2.118 * * [simplify]: Extracting #4: cost 27 inf + 0 2.118 * * [simplify]: Extracting #5: cost 23 inf + 368 2.118 * * [simplify]: Extracting #6: cost 16 inf + 1140 2.119 * * [simplify]: Extracting #7: cost 6 inf + 2987 2.121 * * [simplify]: Extracting #8: cost 0 inf + 5156 2.122 * [simplify]: Simplified to (asin (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) 2.122 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) R)) 2.122 * * * * [progress]: [ 13 / 71 ] simplifiying candidate # 2.122 * * * * [progress]: [ 14 / 71 ] simplifiying candidate # 2.123 * [simplify]: Simplifying (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) 2.123 * * [simplify]: iters left: 6 (16 enodes) 2.130 * * [simplify]: iters left: 5 (56 enodes) 2.146 * * [simplify]: iters left: 4 (67 enodes) 2.164 * * [simplify]: iters left: 3 (73 enodes) 2.185 * * [simplify]: Extracting #0: cost 1 inf + 0 2.185 * * [simplify]: Extracting #1: cost 3 inf + 0 2.185 * * [simplify]: Extracting #2: cost 5 inf + 0 2.185 * * [simplify]: Extracting #3: cost 8 inf + 0 2.185 * * [simplify]: Extracting #4: cost 18 inf + 0 2.185 * * [simplify]: Extracting #5: cost 29 inf + 0 2.185 * * [simplify]: Extracting #6: cost 26 inf + 307 2.186 * * [simplify]: Extracting #7: cost 20 inf + 816 2.186 * * [simplify]: Extracting #8: cost 8 inf + 2825 2.188 * * [simplify]: Extracting #9: cost 1 inf + 5790 2.190 * * [simplify]: Extracting #10: cost 0 inf + 6454 2.191 * [simplify]: Simplified to (log (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 2.191 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) R)) 2.191 * * * * [progress]: [ 15 / 71 ] simplifiying candidate # 2.192 * [simplify]: Simplifying (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) 2.192 * * [simplify]: iters left: 6 (16 enodes) 2.199 * * [simplify]: iters left: 5 (56 enodes) 2.215 * * [simplify]: iters left: 4 (67 enodes) 2.233 * * [simplify]: iters left: 3 (73 enodes) 2.253 * * [simplify]: Extracting #0: cost 1 inf + 0 2.253 * * [simplify]: Extracting #1: cost 3 inf + 0 2.253 * * [simplify]: Extracting #2: cost 5 inf + 0 2.253 * * [simplify]: Extracting #3: cost 8 inf + 0 2.253 * * [simplify]: Extracting #4: cost 18 inf + 0 2.253 * * [simplify]: Extracting #5: cost 29 inf + 0 2.253 * * [simplify]: Extracting #6: cost 26 inf + 307 2.253 * * [simplify]: Extracting #7: cost 20 inf + 816 2.254 * * [simplify]: Extracting #8: cost 8 inf + 2825 2.256 * * [simplify]: Extracting #9: cost 1 inf + 5790 2.258 * * [simplify]: Extracting #10: cost 0 inf + 6454 2.259 * [simplify]: Simplified to (exp (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 2.259 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) R)) 2.260 * * * * [progress]: [ 16 / 71 ] simplifiying candidate # 2.260 * [simplify]: Simplifying (* (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))))))) 2.260 * * [simplify]: iters left: 6 (17 enodes) 2.268 * * [simplify]: iters left: 5 (59 enodes) 2.284 * * [simplify]: iters left: 4 (70 enodes) 2.304 * * [simplify]: iters left: 3 (76 enodes) 2.323 * * [simplify]: Extracting #0: cost 1 inf + 0 2.323 * * [simplify]: Extracting #1: cost 3 inf + 0 2.323 * * [simplify]: Extracting #2: cost 5 inf + 0 2.323 * * [simplify]: Extracting #3: cost 7 inf + 0 2.323 * * [simplify]: Extracting #4: cost 10 inf + 0 2.323 * * [simplify]: Extracting #5: cost 20 inf + 0 2.323 * * [simplify]: Extracting #6: cost 31 inf + 0 2.323 * * [simplify]: Extracting #7: cost 27 inf + 368 2.325 * * [simplify]: Extracting #8: cost 21 inf + 978 2.325 * * [simplify]: Extracting #9: cost 10 inf + 2724 2.327 * * [simplify]: Extracting #10: cost 0 inf + 7902 2.329 * [simplify]: Simplified to (* (cbrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) 2.329 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (cbrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R)) 2.330 * [simplify]: Simplifying (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) 2.330 * * [simplify]: iters left: 6 (16 enodes) 2.336 * * [simplify]: iters left: 5 (56 enodes) 2.353 * * [simplify]: iters left: 4 (67 enodes) 2.371 * * [simplify]: iters left: 3 (73 enodes) 2.390 * * [simplify]: Extracting #0: cost 1 inf + 0 2.390 * * [simplify]: Extracting #1: cost 3 inf + 0 2.390 * * [simplify]: Extracting #2: cost 5 inf + 0 2.390 * * [simplify]: Extracting #3: cost 8 inf + 0 2.390 * * [simplify]: Extracting #4: cost 18 inf + 0 2.390 * * [simplify]: Extracting #5: cost 29 inf + 0 2.391 * * [simplify]: Extracting #6: cost 26 inf + 307 2.391 * * [simplify]: Extracting #7: cost 20 inf + 816 2.392 * * [simplify]: Extracting #8: cost 8 inf + 2825 2.393 * * [simplify]: Extracting #9: cost 1 inf + 5800 2.395 * * [simplify]: Extracting #10: cost 0 inf + 6474 2.397 * [simplify]: Simplified to (cbrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 2.397 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (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 (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) R)) 2.397 * * * * [progress]: [ 17 / 71 ] simplifiying candidate # 2.397 * [simplify]: Simplifying (* (* (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)))))) 2.398 * * [simplify]: iters left: 6 (17 enodes) 2.405 * * [simplify]: iters left: 5 (60 enodes) 2.422 * * [simplify]: iters left: 4 (73 enodes) 2.440 * * [simplify]: iters left: 3 (85 enodes) 2.453 * * [simplify]: iters left: 2 (99 enodes) 2.471 * * [simplify]: iters left: 1 (125 enodes) 2.510 * * [simplify]: Extracting #0: cost 1 inf + 0 2.511 * * [simplify]: Extracting #1: cost 9 inf + 0 2.511 * * [simplify]: Extracting #2: cost 18 inf + 1 2.511 * * [simplify]: Extracting #3: cost 22 inf + 3 2.511 * * [simplify]: Extracting #4: cost 32 inf + 4 2.511 * * [simplify]: Extracting #5: cost 42 inf + 5 2.512 * * [simplify]: Extracting #6: cost 41 inf + 190 2.512 * * [simplify]: Extracting #7: cost 32 inf + 983 2.513 * * [simplify]: Extracting #8: cost 25 inf + 1616 2.514 * * [simplify]: Extracting #9: cost 13 inf + 7041 2.518 * * [simplify]: Extracting #10: cost 1 inf + 16550 2.522 * * [simplify]: Extracting #11: cost 0 inf + 17606 2.527 * [simplify]: Simplified to (* (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 2.527 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) R)) 2.527 * * * * [progress]: [ 18 / 71 ] simplifiying candidate # 2.527 * [simplify]: Simplifying (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) 2.528 * * [simplify]: iters left: 6 (16 enodes) 2.534 * * [simplify]: iters left: 5 (56 enodes) 2.550 * * [simplify]: iters left: 4 (67 enodes) 2.569 * * [simplify]: iters left: 3 (73 enodes) 2.588 * * [simplify]: Extracting #0: cost 1 inf + 0 2.588 * * [simplify]: Extracting #1: cost 3 inf + 0 2.589 * * [simplify]: Extracting #2: cost 5 inf + 0 2.589 * * [simplify]: Extracting #3: cost 8 inf + 0 2.589 * * [simplify]: Extracting #4: cost 18 inf + 0 2.589 * * [simplify]: Extracting #5: cost 29 inf + 0 2.589 * * [simplify]: Extracting #6: cost 26 inf + 307 2.589 * * [simplify]: Extracting #7: cost 20 inf + 816 2.590 * * [simplify]: Extracting #8: cost 8 inf + 2825 2.592 * * [simplify]: Extracting #9: cost 1 inf + 5760 2.593 * * [simplify]: Extracting #10: cost 0 inf + 6394 2.595 * [simplify]: Simplified to (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 2.595 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R)) 2.595 * [simplify]: Simplifying (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) 2.597 * * [simplify]: iters left: 6 (16 enodes) 2.604 * * [simplify]: iters left: 5 (56 enodes) 2.612 * * [simplify]: iters left: 4 (67 enodes) 2.621 * * [simplify]: iters left: 3 (73 enodes) 2.630 * * [simplify]: Extracting #0: cost 1 inf + 0 2.630 * * [simplify]: Extracting #1: cost 3 inf + 0 2.630 * * [simplify]: Extracting #2: cost 5 inf + 0 2.630 * * [simplify]: Extracting #3: cost 8 inf + 0 2.630 * * [simplify]: Extracting #4: cost 18 inf + 0 2.630 * * [simplify]: Extracting #5: cost 29 inf + 0 2.631 * * [simplify]: Extracting #6: cost 26 inf + 307 2.631 * * [simplify]: Extracting #7: cost 20 inf + 816 2.631 * * [simplify]: Extracting #8: cost 8 inf + 2825 2.632 * * [simplify]: Extracting #9: cost 1 inf + 5760 2.633 * * [simplify]: Extracting #10: cost 0 inf + 6394 2.634 * [simplify]: Simplified to (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 2.634 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) R)) 2.634 * * * * [progress]: [ 19 / 71 ] simplifiying candidate # 2.634 * * * * [progress]: [ 20 / 71 ] simplifiying candidate #real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))> 2.634 * [simplify]: Simplifying (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) 2.634 * * [simplify]: iters left: 6 (16 enodes) 2.639 * * [simplify]: iters left: 5 (53 enodes) 2.654 * * [simplify]: iters left: 4 (64 enodes) 2.668 * * [simplify]: iters left: 3 (69 enodes) 2.676 * * [simplify]: Extracting #0: cost 1 inf + 0 2.677 * * [simplify]: Extracting #1: cost 2 inf + 0 2.677 * * [simplify]: Extracting #2: cost 3 inf + 0 2.677 * * [simplify]: Extracting #3: cost 6 inf + 0 2.677 * * [simplify]: Extracting #4: cost 16 inf + 0 2.677 * * [simplify]: Extracting #5: cost 27 inf + 0 2.677 * * [simplify]: Extracting #6: cost 23 inf + 368 2.677 * * [simplify]: Extracting #7: cost 17 inf + 978 2.677 * * [simplify]: Extracting #8: cost 7 inf + 2521 2.678 * * [simplify]: Extracting #9: cost 0 inf + 5126 2.679 * [simplify]: Simplified to (real->posit16 (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 2.679 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (posit16->real (real->posit16 (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) R)) 2.679 * * * * [progress]: [ 21 / 71 ] simplifiying candidate # 2.679 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 2.679 * * [simplify]: iters left: 6 (17 enodes) 2.682 * * [simplify]: iters left: 5 (60 enodes) 2.691 * * [simplify]: iters left: 4 (71 enodes) 2.710 * * [simplify]: iters left: 3 (76 enodes) 2.729 * * [simplify]: Extracting #0: cost 1 inf + 0 2.729 * * [simplify]: Extracting #1: cost 4 inf + 0 2.730 * * [simplify]: Extracting #2: cost 5 inf + 1 2.730 * * [simplify]: Extracting #3: cost 8 inf + 1 2.730 * * [simplify]: Extracting #4: cost 18 inf + 1 2.730 * * [simplify]: Extracting #5: cost 29 inf + 1 2.730 * * [simplify]: Extracting #6: cost 25 inf + 369 2.730 * * [simplify]: Extracting #7: cost 19 inf + 979 2.731 * * [simplify]: Extracting #8: cost 9 inf + 2522 2.733 * * [simplify]: Extracting #9: cost 0 inf + 6397 2.734 * [simplify]: Simplified to (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 2.735 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (pow (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 1)) 2.735 * * * * [progress]: [ 22 / 71 ] simplifiying candidate # 2.735 * * * * [progress]: [ 23 / 71 ] simplifiying candidate # 2.735 * [simplify]: Simplifying (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log R)) 2.735 * * [simplify]: iters left: 6 (19 enodes) 2.743 * * [simplify]: iters left: 5 (66 enodes) 2.762 * * [simplify]: iters left: 4 (77 enodes) 2.783 * * [simplify]: iters left: 3 (82 enodes) 2.804 * * [simplify]: Extracting #0: cost 1 inf + 0 2.804 * * [simplify]: Extracting #1: cost 4 inf + 0 2.804 * * [simplify]: Extracting #2: cost 8 inf + 0 2.804 * * [simplify]: Extracting #3: cost 9 inf + 1 2.804 * * [simplify]: Extracting #4: cost 10 inf + 143 2.804 * * [simplify]: Extracting #5: cost 20 inf + 143 2.804 * * [simplify]: Extracting #6: cost 31 inf + 143 2.805 * * [simplify]: Extracting #7: cost 26 inf + 572 2.805 * * [simplify]: Extracting #8: cost 22 inf + 959 2.806 * * [simplify]: Extracting #9: cost 12 inf + 2825 2.808 * * [simplify]: Extracting #10: cost 3 inf + 5933 2.810 * * [simplify]: Extracting #11: cost 0 inf + 8147 2.812 * [simplify]: Simplified to (+ (log R) (log (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) 2.812 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log R) (log (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))))) 2.812 * * * * [progress]: [ 24 / 71 ] simplifiying candidate # 2.812 * [simplify]: Simplifying (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 2.813 * * [simplify]: iters left: 6 (18 enodes) 2.820 * * [simplify]: iters left: 5 (66 enodes) 2.840 * * [simplify]: iters left: 4 (82 enodes) 2.862 * * [simplify]: iters left: 3 (87 enodes) 2.883 * * [simplify]: Extracting #0: cost 1 inf + 0 2.883 * * [simplify]: Extracting #1: cost 5 inf + 0 2.883 * * [simplify]: Extracting #2: cost 10 inf + 0 2.884 * * [simplify]: Extracting #3: cost 11 inf + 1 2.884 * * [simplify]: Extracting #4: cost 12 inf + 143 2.884 * * [simplify]: Extracting #5: cost 22 inf + 143 2.884 * * [simplify]: Extracting #6: cost 33 inf + 143 2.884 * * [simplify]: Extracting #7: cost 27 inf + 633 2.885 * * [simplify]: Extracting #8: cost 23 inf + 1121 2.886 * * [simplify]: Extracting #9: cost 13 inf + 2765 2.888 * * [simplify]: Extracting #10: cost 1 inf + 8782 2.890 * * [simplify]: Extracting #11: cost 0 inf + 9277 2.893 * [simplify]: Simplified to (log (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) 2.893 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))))) 2.893 * * * * [progress]: [ 25 / 71 ] simplifiying candidate # 2.893 * [simplify]: Simplifying (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 2.894 * * [simplify]: iters left: 6 (18 enodes) 2.901 * * [simplify]: iters left: 5 (65 enodes) 2.919 * * [simplify]: iters left: 4 (84 enodes) 2.942 * * [simplify]: iters left: 3 (103 enodes) 2.970 * * [simplify]: iters left: 2 (130 enodes) 3.001 * * [simplify]: iters left: 1 (195 enodes) 3.044 * * [simplify]: Extracting #0: cost 1 inf + 0 3.045 * * [simplify]: Extracting #1: cost 21 inf + 0 3.045 * * [simplify]: Extracting #2: cost 70 inf + 2 3.046 * * [simplify]: Extracting #3: cost 82 inf + 327 3.046 * * [simplify]: Extracting #4: cost 80 inf + 1186 3.048 * * [simplify]: Extracting #5: cost 82 inf + 2047 3.049 * * [simplify]: Extracting #6: cost 78 inf + 2456 3.051 * * [simplify]: Extracting #7: cost 71 inf + 3026 3.055 * * [simplify]: Extracting #8: cost 36 inf + 23061 3.068 * * [simplify]: Extracting #9: cost 4 inf + 56253 3.077 * * [simplify]: Extracting #10: cost 0 inf + 61348 3.087 * [simplify]: Simplified to (exp (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) 3.087 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (log (exp (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))))) 3.087 * * * * [progress]: [ 26 / 71 ] simplifiying candidate # 3.088 * [simplify]: Simplifying (* (* (* (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)) 3.088 * * [simplify]: iters left: 6 (21 enodes) 3.092 * * [simplify]: iters left: 5 (78 enodes) 3.104 * * [simplify]: iters left: 4 (118 enodes) 3.124 * * [simplify]: iters left: 3 (178 enodes) 3.173 * * [simplify]: iters left: 2 (278 enodes) 3.304 * * [simplify]: iters left: 1 (467 enodes) 3.520 * * [simplify]: Extracting #0: cost 1 inf + 0 3.520 * * [simplify]: Extracting #1: cost 58 inf + 0 3.521 * * [simplify]: Extracting #2: cost 161 inf + 2 3.521 * * [simplify]: Extracting #3: cost 153 inf + 1822 3.522 * * [simplify]: Extracting #4: cost 157 inf + 3505 3.523 * * [simplify]: Extracting #5: cost 167 inf + 3586 3.524 * * [simplify]: Extracting #6: cost 157 inf + 4724 3.528 * * [simplify]: Extracting #7: cost 130 inf + 21025 3.560 * * [simplify]: Extracting #8: cost 24 inf + 120685 3.586 * * [simplify]: Extracting #9: cost 2 inf + 144271 3.628 * * [simplify]: Extracting #10: cost 0 inf + 146716 3.657 * [simplify]: Simplified to (* (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) R) (* (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) R) (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) R))) 3.657 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) R) (* (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) R) (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) R))))) 3.658 * * * * [progress]: [ 27 / 71 ] simplifiying candidate # 3.658 * [simplify]: Simplifying (* (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))) 3.658 * * [simplify]: iters left: 6 (19 enodes) 3.667 * * [simplify]: iters left: 5 (66 enodes) 3.685 * * [simplify]: iters left: 4 (77 enodes) 3.706 * * [simplify]: iters left: 3 (82 enodes) 3.727 * * [simplify]: Extracting #0: cost 1 inf + 0 3.728 * * [simplify]: Extracting #1: cost 3 inf + 0 3.728 * * [simplify]: Extracting #2: cost 5 inf + 0 3.728 * * [simplify]: Extracting #3: cost 8 inf + 0 3.728 * * [simplify]: Extracting #4: cost 9 inf + 1 3.728 * * [simplify]: Extracting #5: cost 12 inf + 1 3.728 * * [simplify]: Extracting #6: cost 22 inf + 1 3.728 * * [simplify]: Extracting #7: cost 33 inf + 1 3.728 * * [simplify]: Extracting #8: cost 28 inf + 430 3.729 * * [simplify]: Extracting #9: cost 24 inf + 817 3.729 * * [simplify]: Extracting #10: cost 14 inf + 2683 3.731 * * [simplify]: Extracting #11: cost 4 inf + 6397 3.734 * * [simplify]: Extracting #12: cost 3 inf + 7112 3.736 * * [simplify]: Extracting #13: cost 0 inf + 9337 3.739 * [simplify]: Simplified to (* (cbrt (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) (cbrt (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))) 3.739 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) (cbrt (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)))) 3.739 * [simplify]: Simplifying (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 3.739 * * [simplify]: iters left: 6 (18 enodes) 3.747 * * [simplify]: iters left: 5 (63 enodes) 3.765 * * [simplify]: iters left: 4 (74 enodes) 3.785 * * [simplify]: iters left: 3 (80 enodes) 3.806 * * [simplify]: Extracting #0: cost 1 inf + 0 3.806 * * [simplify]: Extracting #1: cost 3 inf + 0 3.806 * * [simplify]: Extracting #2: cost 6 inf + 0 3.806 * * [simplify]: Extracting #3: cost 7 inf + 1 3.806 * * [simplify]: Extracting #4: cost 10 inf + 1 3.806 * * [simplify]: Extracting #5: cost 20 inf + 1 3.806 * * [simplify]: Extracting #6: cost 31 inf + 1 3.806 * * [simplify]: Extracting #7: cost 27 inf + 369 3.807 * * [simplify]: Extracting #8: cost 21 inf + 979 3.808 * * [simplify]: Extracting #9: cost 12 inf + 2420 3.809 * * [simplify]: Extracting #10: cost 4 inf + 5168 3.811 * * [simplify]: Extracting #11: cost 1 inf + 7112 3.813 * * [simplify]: Extracting #12: cost 0 inf + 7827 3.815 * [simplify]: Simplified to (cbrt (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) 3.815 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (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 (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))))) 3.815 * * * * [progress]: [ 28 / 71 ] simplifiying candidate # 3.816 * [simplify]: Simplifying (* (* (* (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)) 3.816 * * [simplify]: iters left: 6 (19 enodes) 3.825 * * [simplify]: iters left: 5 (76 enodes) 3.849 * * [simplify]: iters left: 4 (127 enodes) 3.898 * * [simplify]: iters left: 3 (189 enodes) 3.950 * * [simplify]: iters left: 2 (223 enodes) 4.013 * * [simplify]: iters left: 1 (300 enodes) 4.111 * * [simplify]: Extracting #0: cost 1 inf + 0 4.112 * * [simplify]: Extracting #1: cost 38 inf + 0 4.112 * * [simplify]: Extracting #2: cost 96 inf + 43 4.112 * * [simplify]: Extracting #3: cost 95 inf + 168 4.113 * * [simplify]: Extracting #4: cost 98 inf + 1310 4.113 * * [simplify]: Extracting #5: cost 109 inf + 1310 4.114 * * [simplify]: Extracting #6: cost 103 inf + 2103 4.114 * * [simplify]: Extracting #7: cost 98 inf + 2450 4.117 * * [simplify]: Extracting #8: cost 56 inf + 28532 4.129 * * [simplify]: Extracting #9: cost 5 inf + 74496 4.147 * * [simplify]: Extracting #10: cost 0 inf + 79479 4.167 * [simplify]: Simplified to (* (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (* (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))) 4.167 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (* (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))))) 4.167 * * * * [progress]: [ 29 / 71 ] simplifiying candidate # 4.167 * [simplify]: Simplifying (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 4.167 * * [simplify]: iters left: 6 (18 enodes) 4.171 * * [simplify]: iters left: 5 (63 enodes) 4.181 * * [simplify]: iters left: 4 (74 enodes) 4.193 * * [simplify]: iters left: 3 (80 enodes) 4.214 * * [simplify]: Extracting #0: cost 1 inf + 0 4.214 * * [simplify]: Extracting #1: cost 3 inf + 0 4.214 * * [simplify]: Extracting #2: cost 6 inf + 0 4.214 * * [simplify]: Extracting #3: cost 7 inf + 1 4.214 * * [simplify]: Extracting #4: cost 10 inf + 1 4.214 * * [simplify]: Extracting #5: cost 20 inf + 1 4.214 * * [simplify]: Extracting #6: cost 31 inf + 1 4.214 * * [simplify]: Extracting #7: cost 27 inf + 369 4.215 * * [simplify]: Extracting #8: cost 21 inf + 979 4.215 * * [simplify]: Extracting #9: cost 12 inf + 2420 4.217 * * [simplify]: Extracting #10: cost 4 inf + 5168 4.219 * * [simplify]: Extracting #11: cost 1 inf + 7072 4.221 * * [simplify]: Extracting #12: cost 0 inf + 7747 4.223 * [simplify]: Simplified to (sqrt (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) 4.223 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)))) 4.223 * [simplify]: Simplifying (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 4.224 * * [simplify]: iters left: 6 (18 enodes) 4.231 * * [simplify]: iters left: 5 (63 enodes) 4.248 * * [simplify]: iters left: 4 (74 enodes) 4.268 * * [simplify]: iters left: 3 (80 enodes) 4.288 * * [simplify]: Extracting #0: cost 1 inf + 0 4.288 * * [simplify]: Extracting #1: cost 3 inf + 0 4.288 * * [simplify]: Extracting #2: cost 6 inf + 0 4.288 * * [simplify]: Extracting #3: cost 7 inf + 1 4.288 * * [simplify]: Extracting #4: cost 10 inf + 1 4.288 * * [simplify]: Extracting #5: cost 20 inf + 1 4.289 * * [simplify]: Extracting #6: cost 31 inf + 1 4.289 * * [simplify]: Extracting #7: cost 27 inf + 369 4.289 * * [simplify]: Extracting #8: cost 21 inf + 979 4.290 * * [simplify]: Extracting #9: cost 12 inf + 2420 4.292 * * [simplify]: Extracting #10: cost 4 inf + 5168 4.293 * * [simplify]: Extracting #11: cost 1 inf + 7072 4.296 * * [simplify]: Extracting #12: cost 0 inf + 7747 4.298 * [simplify]: Simplified to (sqrt (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) 4.298 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))))) 4.298 * * * * [progress]: [ 30 / 71 ] simplifiying candidate # 4.298 * * * * [progress]: [ 31 / 71 ] simplifiying candidate # 4.298 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) 4.299 * * [simplify]: iters left: 6 (19 enodes) 4.308 * * [simplify]: iters left: 5 (66 enodes) 4.327 * * [simplify]: iters left: 4 (77 enodes) 4.348 * * [simplify]: iters left: 3 (82 enodes) 4.368 * * [simplify]: Extracting #0: cost 1 inf + 0 4.369 * * [simplify]: Extracting #1: cost 4 inf + 0 4.369 * * [simplify]: Extracting #2: cost 8 inf + 0 4.369 * * [simplify]: Extracting #3: cost 9 inf + 1 4.369 * * [simplify]: Extracting #4: cost 10 inf + 83 4.369 * * [simplify]: Extracting #5: cost 20 inf + 83 4.369 * * [simplify]: Extracting #6: cost 31 inf + 83 4.369 * * [simplify]: Extracting #7: cost 26 inf + 512 4.370 * * [simplify]: Extracting #8: cost 22 inf + 899 4.371 * * [simplify]: Extracting #9: cost 12 inf + 2765 4.372 * * [simplify]: Extracting #10: cost 3 inf + 5843 4.374 * * [simplify]: Extracting #11: cost 0 inf + 7907 4.376 * [simplify]: Simplified to (* (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (sqrt R)) 4.377 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)))) 4.377 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) 4.377 * * [simplify]: iters left: 6 (19 enodes) 4.385 * * [simplify]: iters left: 5 (66 enodes) 4.403 * * [simplify]: iters left: 4 (77 enodes) 4.414 * * [simplify]: iters left: 3 (82 enodes) 4.424 * * [simplify]: Extracting #0: cost 1 inf + 0 4.424 * * [simplify]: Extracting #1: cost 4 inf + 0 4.424 * * [simplify]: Extracting #2: cost 8 inf + 0 4.424 * * [simplify]: Extracting #3: cost 9 inf + 1 4.424 * * [simplify]: Extracting #4: cost 10 inf + 83 4.424 * * [simplify]: Extracting #5: cost 20 inf + 83 4.424 * * [simplify]: Extracting #6: cost 31 inf + 83 4.424 * * [simplify]: Extracting #7: cost 26 inf + 512 4.424 * * [simplify]: Extracting #8: cost 22 inf + 899 4.425 * * [simplify]: Extracting #9: cost 12 inf + 2765 4.425 * * [simplify]: Extracting #10: cost 3 inf + 5843 4.426 * * [simplify]: Extracting #11: cost 0 inf + 7907 4.427 * [simplify]: Simplified to (* (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (sqrt R)) 4.427 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (sqrt R)))) 4.428 * * * * [progress]: [ 32 / 71 ] simplifiying candidate # 4.428 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) 4.428 * * [simplify]: iters left: 6 (19 enodes) 4.432 * * [simplify]: iters left: 5 (68 enodes) 4.442 * * [simplify]: iters left: 4 (83 enodes) 4.453 * * [simplify]: iters left: 3 (88 enodes) 4.464 * * [simplify]: Extracting #0: cost 1 inf + 0 4.464 * * [simplify]: Extracting #1: cost 6 inf + 0 4.464 * * [simplify]: Extracting #2: cost 12 inf + 0 4.464 * * [simplify]: Extracting #3: cost 13 inf + 82 4.464 * * [simplify]: Extracting #4: cost 20 inf + 405 4.464 * * [simplify]: Extracting #5: cost 31 inf + 405 4.464 * * [simplify]: Extracting #6: cost 26 inf + 834 4.464 * * [simplify]: Extracting #7: cost 20 inf + 1545 4.465 * * [simplify]: Extracting #8: cost 16 inf + 1711 4.465 * * [simplify]: Extracting #9: cost 11 inf + 2926 4.466 * * [simplify]: Extracting #10: cost 2 inf + 7041 4.467 * * [simplify]: Extracting #11: cost 0 inf + 8471 4.468 * [simplify]: Simplified to (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) (* (cbrt R) (cbrt R))) 4.469 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) (* (cbrt R) (cbrt R))) (cbrt R))) 4.469 * * * * [progress]: [ 33 / 71 ] simplifiying candidate # 4.469 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) 4.469 * * [simplify]: iters left: 6 (18 enodes) 4.477 * * [simplify]: iters left: 5 (63 enodes) 4.494 * * [simplify]: iters left: 4 (74 enodes) 4.514 * * [simplify]: iters left: 3 (80 enodes) 4.536 * * [simplify]: Extracting #0: cost 1 inf + 0 4.536 * * [simplify]: Extracting #1: cost 4 inf + 0 4.536 * * [simplify]: Extracting #2: cost 8 inf + 0 4.536 * * [simplify]: Extracting #3: cost 9 inf + 42 4.536 * * [simplify]: Extracting #4: cost 18 inf + 83 4.537 * * [simplify]: Extracting #5: cost 29 inf + 83 4.537 * * [simplify]: Extracting #6: cost 25 inf + 451 4.538 * * [simplify]: Extracting #7: cost 19 inf + 1061 4.538 * * [simplify]: Extracting #8: cost 10 inf + 2502 4.540 * * [simplify]: Extracting #9: cost 2 inf + 5290 4.541 * * [simplify]: Extracting #10: cost 0 inf + 6559 4.543 * [simplify]: Simplified to (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) (sqrt R)) 4.543 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) (sqrt R)) (sqrt R))) 4.543 * * * * [progress]: [ 34 / 71 ] simplifiying candidate # 4.544 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 1) 4.544 * * [simplify]: iters left: 6 (17 enodes) 4.552 * * [simplify]: iters left: 5 (60 enodes) 4.570 * * [simplify]: iters left: 4 (75 enodes) 4.592 * * [simplify]: iters left: 3 (81 enodes) 4.604 * * [simplify]: Extracting #0: cost 1 inf + 0 4.604 * * [simplify]: Extracting #1: cost 4 inf + 0 4.604 * * [simplify]: Extracting #2: cost 6 inf + 1 4.604 * * [simplify]: Extracting #3: cost 16 inf + 1 4.604 * * [simplify]: Extracting #4: cost 27 inf + 1 4.604 * * [simplify]: Extracting #5: cost 23 inf + 369 4.605 * * [simplify]: Extracting #6: cost 15 inf + 1182 4.605 * * [simplify]: Extracting #7: cost 7 inf + 2522 4.606 * * [simplify]: Extracting #8: cost 0 inf + 5127 4.606 * [simplify]: Simplified to (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) 4.606 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) R)) 4.606 * * * * [progress]: [ 35 / 71 ] simplifiying candidate # 4.607 * [simplify]: Simplifying (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) 4.607 * * [simplify]: iters left: 6 (18 enodes) 4.610 * * [simplify]: iters left: 5 (63 enodes) 4.618 * * [simplify]: iters left: 4 (74 enodes) 4.628 * * [simplify]: iters left: 3 (80 enodes) 4.646 * * [simplify]: Extracting #0: cost 1 inf + 0 4.646 * * [simplify]: Extracting #1: cost 4 inf + 0 4.646 * * [simplify]: Extracting #2: cost 5 inf + 1 4.646 * * [simplify]: Extracting #3: cost 7 inf + 1 4.646 * * [simplify]: Extracting #4: cost 10 inf + 1 4.646 * * [simplify]: Extracting #5: cost 20 inf + 1 4.646 * * [simplify]: Extracting #6: cost 31 inf + 1 4.648 * * [simplify]: Extracting #7: cost 27 inf + 369 4.648 * * [simplify]: Extracting #8: cost 21 inf + 979 4.648 * * [simplify]: Extracting #9: cost 12 inf + 2420 4.649 * * [simplify]: Extracting #10: cost 2 inf + 6596 4.650 * * [simplify]: Extracting #11: cost 0 inf + 7905 4.651 * [simplify]: Simplified to (* (cbrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) R) 4.651 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (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 (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) R))) 4.651 * * * * [progress]: [ 36 / 71 ] simplifiying candidate # 4.651 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) 4.651 * * [simplify]: iters left: 6 (18 enodes) 4.655 * * [simplify]: iters left: 5 (63 enodes) 4.663 * * [simplify]: iters left: 4 (74 enodes) 4.673 * * [simplify]: iters left: 3 (80 enodes) 4.693 * * [simplify]: Extracting #0: cost 1 inf + 0 4.693 * * [simplify]: Extracting #1: cost 4 inf + 0 4.694 * * [simplify]: Extracting #2: cost 5 inf + 1 4.694 * * [simplify]: Extracting #3: cost 7 inf + 1 4.694 * * [simplify]: Extracting #4: cost 10 inf + 1 4.694 * * [simplify]: Extracting #5: cost 20 inf + 1 4.694 * * [simplify]: Extracting #6: cost 31 inf + 1 4.694 * * [simplify]: Extracting #7: cost 27 inf + 369 4.694 * * [simplify]: Extracting #8: cost 21 inf + 979 4.695 * * [simplify]: Extracting #9: cost 12 inf + 2420 4.697 * * [simplify]: Extracting #10: cost 2 inf + 6476 4.699 * * [simplify]: Extracting #11: cost 0 inf + 7745 4.701 * [simplify]: Simplified to (* (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) R) 4.701 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) R))) 4.701 * * * * [progress]: [ 37 / 71 ] simplifiying candidate # 4.702 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 4.702 * * [simplify]: iters left: 6 (17 enodes) 4.708 * * [simplify]: iters left: 5 (60 enodes) 4.716 * * [simplify]: iters left: 4 (71 enodes) 4.725 * * [simplify]: iters left: 3 (76 enodes) 4.735 * * [simplify]: Extracting #0: cost 1 inf + 0 4.735 * * [simplify]: Extracting #1: cost 4 inf + 0 4.735 * * [simplify]: Extracting #2: cost 5 inf + 1 4.735 * * [simplify]: Extracting #3: cost 8 inf + 1 4.735 * * [simplify]: Extracting #4: cost 18 inf + 1 4.735 * * [simplify]: Extracting #5: cost 29 inf + 1 4.735 * * [simplify]: Extracting #6: cost 25 inf + 369 4.735 * * [simplify]: Extracting #7: cost 19 inf + 979 4.736 * * [simplify]: Extracting #8: cost 9 inf + 2522 4.738 * * [simplify]: Extracting #9: cost 0 inf + 6397 4.740 * [simplify]: Simplified to (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 4.740 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))) 4.740 * * * * [progress]: [ 38 / 71 ] simplifiying candidate #real (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))> 4.740 * [simplify]: Simplifying (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 4.741 * * [simplify]: iters left: 6 (18 enodes) 4.748 * * [simplify]: iters left: 5 (60 enodes) 4.764 * * [simplify]: iters left: 4 (71 enodes) 4.781 * * [simplify]: iters left: 3 (76 enodes) 4.798 * * [simplify]: Extracting #0: cost 1 inf + 0 4.798 * * [simplify]: Extracting #1: cost 2 inf + 0 4.798 * * [simplify]: Extracting #2: cost 4 inf + 0 4.798 * * [simplify]: Extracting #3: cost 5 inf + 1 4.798 * * [simplify]: Extracting #4: cost 8 inf + 1 4.798 * * [simplify]: Extracting #5: cost 18 inf + 1 4.799 * * [simplify]: Extracting #6: cost 29 inf + 1 4.799 * * [simplify]: Extracting #7: cost 25 inf + 369 4.799 * * [simplify]: Extracting #8: cost 18 inf + 1141 4.800 * * [simplify]: Extracting #9: cost 8 inf + 2988 4.801 * * [simplify]: Extracting #10: cost 2 inf + 5559 4.803 * * [simplify]: Extracting #11: cost 0 inf + 6397 4.804 * [simplify]: Simplified to (real->posit16 (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) 4.804 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (posit16->real (real->posit16 (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))))) 4.804 * * * * [progress]: [ 39 / 71 ] simplifiying candidate # 4.804 * * * * [progress]: [ 40 / 71 ] simplifiying candidate # 4.805 * [simplify]: Simplifying (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 4.805 * * [simplify]: iters left: 5 (7 enodes) 4.807 * * [simplify]: iters left: 4 (26 enodes) 4.814 * * [simplify]: iters left: 3 (32 enodes) 4.821 * * [simplify]: Extracting #0: cost 1 inf + 0 4.821 * * [simplify]: Extracting #1: cost 5 inf + 0 4.821 * * [simplify]: Extracting #2: cost 10 inf + 0 4.821 * * [simplify]: Extracting #3: cost 15 inf + 0 4.821 * * [simplify]: Extracting #4: cost 13 inf + 43 4.821 * * [simplify]: Extracting #5: cost 4 inf + 800 4.822 * * [simplify]: Extracting #6: cost 1 inf + 1186 4.822 * * [simplify]: Extracting #7: cost 0 inf + 1428 4.823 * [simplify]: Simplified to (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) 4.823 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) 2) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 4.823 * * * * [progress]: [ 41 / 71 ] simplifiying candidate # 4.823 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 4.823 * * [simplify]: iters left: 3 (5 enodes) 4.825 * * [simplify]: iters left: 2 (16 enodes) 4.829 * * [simplify]: Extracting #0: cost 1 inf + 0 4.829 * * [simplify]: Extracting #1: cost 4 inf + 0 4.829 * * [simplify]: Extracting #2: cost 8 inf + 0 4.829 * * [simplify]: Extracting #3: cost 4 inf + 124 4.829 * * [simplify]: Extracting #4: cost 0 inf + 570 4.829 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 4.829 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi2) (sin phi1)) 1) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 4.829 * * * * [progress]: [ 42 / 71 ] simplifiying candidate # 4.829 * * * * [progress]: [ 43 / 71 ] simplifiying candidate # 4.830 * [simplify]: Simplifying (+ (log (sin phi1)) (log (sin phi2))) 4.830 * * [simplify]: iters left: 4 (7 enodes) 4.832 * * [simplify]: iters left: 3 (22 enodes) 4.837 * * [simplify]: Extracting #0: cost 1 inf + 0 4.837 * * [simplify]: Extracting #1: cost 4 inf + 0 4.838 * * [simplify]: Extracting #2: cost 8 inf + 0 4.838 * * [simplify]: Extracting #3: cost 12 inf + 0 4.838 * * [simplify]: Extracting #4: cost 10 inf + 2 4.838 * * [simplify]: Extracting #5: cost 4 inf + 508 4.838 * * [simplify]: Extracting #6: cost 1 inf + 1072 4.838 * * [simplify]: Extracting #7: cost 0 inf + 1374 4.839 * [simplify]: Simplified to (+ (log (sin phi2)) (log (sin phi1))) 4.839 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (+ (log (sin phi2)) (log (sin phi1)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 4.839 * * * * [progress]: [ 44 / 71 ] simplifiying candidate # 4.839 * [simplify]: Simplifying (log (* (sin phi1) (sin phi2))) 4.839 * * [simplify]: iters left: 4 (6 enodes) 4.842 * * [simplify]: iters left: 3 (22 enodes) 4.847 * * [simplify]: iters left: 2 (27 enodes) 4.853 * * [simplify]: Extracting #0: cost 1 inf + 0 4.853 * * [simplify]: Extracting #1: cost 5 inf + 0 4.853 * * [simplify]: Extracting #2: cost 10 inf + 0 4.853 * * [simplify]: Extracting #3: cost 14 inf + 0 4.853 * * [simplify]: Extracting #4: cost 9 inf + 255 4.853 * * [simplify]: Extracting #5: cost 6 inf + 508 4.854 * * [simplify]: Extracting #6: cost 1 inf + 1326 4.854 * * [simplify]: Extracting #7: cost 0 inf + 1558 4.854 * [simplify]: Simplified to (log (* (sin phi2) (sin phi1))) 4.854 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (log (* (sin phi2) (sin phi1)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 4.854 * * * * [progress]: [ 45 / 71 ] simplifiying candidate # 4.855 * [simplify]: Simplifying (exp (* (sin phi1) (sin phi2))) 4.855 * * [simplify]: iters left: 4 (6 enodes) 4.857 * * [simplify]: iters left: 3 (21 enodes) 4.862 * * [simplify]: iters left: 2 (29 enodes) 4.870 * * [simplify]: iters left: 1 (42 enodes) 4.884 * * [simplify]: Extracting #0: cost 1 inf + 0 4.884 * * [simplify]: Extracting #1: cost 14 inf + 0 4.885 * * [simplify]: Extracting #2: cost 32 inf + 0 4.885 * * [simplify]: Extracting #3: cost 26 inf + 963 4.886 * * [simplify]: Extracting #4: cost 10 inf + 3532 4.887 * * [simplify]: Extracting #5: cost 2 inf + 6437 4.888 * * [simplify]: Extracting #6: cost 0 inf + 7614 4.890 * [simplify]: Simplified to (exp (* (sin phi2) (sin phi1))) 4.890 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi2) (sin phi1)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 4.890 * * * * [progress]: [ 46 / 71 ] simplifiying candidate # 4.891 * [simplify]: Simplifying (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) 4.891 * * [simplify]: iters left: 6 (9 enodes) 4.895 * * [simplify]: iters left: 5 (34 enodes) 4.906 * * [simplify]: iters left: 4 (63 enodes) 4.929 * * [simplify]: iters left: 3 (122 enodes) 4.970 * * [simplify]: iters left: 2 (197 enodes) 5.044 * * [simplify]: iters left: 1 (380 enodes) 5.254 * * [simplify]: Extracting #0: cost 1 inf + 0 5.255 * * [simplify]: Extracting #1: cost 71 inf + 0 5.256 * * [simplify]: Extracting #2: cost 181 inf + 1 5.258 * * [simplify]: Extracting #3: cost 163 inf + 2396 5.265 * * [simplify]: Extracting #4: cost 90 inf + 31918 5.281 * * [simplify]: Extracting #5: cost 8 inf + 81296 5.299 * * [simplify]: Extracting #6: cost 0 inf + 86990 5.321 * [simplify]: Simplified to (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1))) 5.321 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 5.322 * * * * [progress]: [ 47 / 71 ] simplifiying candidate # 5.322 * [simplify]: Simplifying (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) 5.322 * * [simplify]: iters left: 6 (7 enodes) 5.325 * * [simplify]: iters left: 5 (22 enodes) 5.332 * * [simplify]: Extracting #0: cost 1 inf + 0 5.332 * * [simplify]: Extracting #1: cost 3 inf + 0 5.332 * * [simplify]: Extracting #2: cost 5 inf + 0 5.332 * * [simplify]: Extracting #3: cost 8 inf + 0 5.332 * * [simplify]: Extracting #4: cost 12 inf + 0 5.332 * * [simplify]: Extracting #5: cost 10 inf + 2 5.332 * * [simplify]: Extracting #6: cost 1 inf + 1336 5.333 * * [simplify]: Extracting #7: cost 0 inf + 1618 5.333 * [simplify]: Simplified to (* (cbrt (* (sin phi2) (sin phi1))) (cbrt (* (sin phi2) (sin phi1)))) 5.333 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (* (sin phi2) (sin phi1))) (cbrt (* (sin phi2) (sin phi1)))) (cbrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 5.333 * [simplify]: Simplifying (cbrt (* (sin phi1) (sin phi2))) 5.334 * * [simplify]: iters left: 4 (6 enodes) 5.336 * * [simplify]: iters left: 3 (19 enodes) 5.341 * * [simplify]: Extracting #0: cost 1 inf + 0 5.341 * * [simplify]: Extracting #1: cost 3 inf + 0 5.341 * * [simplify]: Extracting #2: cost 6 inf + 0 5.341 * * [simplify]: Extracting #3: cost 10 inf + 0 5.341 * * [simplify]: Extracting #4: cost 6 inf + 124 5.342 * * [simplify]: Extracting #5: cost 0 inf + 1054 5.342 * [simplify]: Simplified to (cbrt (* (sin phi2) (sin phi1))) 5.342 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi2) (sin phi1)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 5.342 * * * * [progress]: [ 48 / 71 ] simplifiying candidate # 5.342 * [simplify]: Simplifying (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) 5.343 * * [simplify]: iters left: 6 (7 enodes) 5.346 * * [simplify]: iters left: 5 (32 enodes) 5.358 * * [simplify]: iters left: 4 (72 enodes) 5.377 * * [simplify]: iters left: 3 (126 enodes) 5.403 * * [simplify]: iters left: 2 (157 enodes) 5.471 * * [simplify]: iters left: 1 (231 enodes) 5.572 * * [simplify]: Extracting #0: cost 1 inf + 0 5.572 * * [simplify]: Extracting #1: cost 35 inf + 0 5.572 * * [simplify]: Extracting #2: cost 95 inf + 1 5.574 * * [simplify]: Extracting #3: cost 77 inf + 2691 5.578 * * [simplify]: Extracting #4: cost 18 inf + 23450 5.586 * * [simplify]: Extracting #5: cost 0 inf + 32321 5.594 * [simplify]: Simplified to (* (* (sin phi2) (sin phi1)) (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)))) 5.594 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (sin phi2) (sin phi1)) (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 5.595 * * * * [progress]: [ 49 / 71 ] simplifiying candidate # 5.595 * [simplify]: Simplifying (sqrt (* (sin phi1) (sin phi2))) 5.595 * * [simplify]: iters left: 4 (6 enodes) 5.598 * * [simplify]: iters left: 3 (19 enodes) 5.603 * * [simplify]: Extracting #0: cost 1 inf + 0 5.603 * * [simplify]: Extracting #1: cost 3 inf + 0 5.603 * * [simplify]: Extracting #2: cost 6 inf + 0 5.603 * * [simplify]: Extracting #3: cost 10 inf + 0 5.603 * * [simplify]: Extracting #4: cost 6 inf + 124 5.603 * * [simplify]: Extracting #5: cost 0 inf + 974 5.603 * [simplify]: Simplified to (sqrt (* (sin phi2) (sin phi1))) 5.603 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (* (sin phi2) (sin phi1))) (sqrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 5.604 * [simplify]: Simplifying (sqrt (* (sin phi1) (sin phi2))) 5.604 * * [simplify]: iters left: 4 (6 enodes) 5.607 * * [simplify]: iters left: 3 (19 enodes) 5.612 * * [simplify]: Extracting #0: cost 1 inf + 0 5.612 * * [simplify]: Extracting #1: cost 3 inf + 0 5.612 * * [simplify]: Extracting #2: cost 6 inf + 0 5.612 * * [simplify]: Extracting #3: cost 10 inf + 0 5.612 * * [simplify]: Extracting #4: cost 6 inf + 124 5.612 * * [simplify]: Extracting #5: cost 0 inf + 974 5.613 * [simplify]: Simplified to (sqrt (* (sin phi2) (sin phi1))) 5.613 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi2) (sin phi1)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 5.613 * * * * [progress]: [ 50 / 71 ] simplifiying candidate # 5.613 * * * * [progress]: [ 51 / 71 ] simplifiying candidate # 5.613 * [simplify]: Simplifying (* (sqrt (sin phi1)) (sqrt (sin phi2))) 5.613 * * [simplify]: iters left: 4 (7 enodes) 5.616 * * [simplify]: iters left: 3 (22 enodes) 5.622 * * [simplify]: Extracting #0: cost 1 inf + 0 5.622 * * [simplify]: Extracting #1: cost 4 inf + 0 5.622 * * [simplify]: Extracting #2: cost 8 inf + 0 5.622 * * [simplify]: Extracting #3: cost 12 inf + 0 5.622 * * [simplify]: Extracting #4: cost 10 inf + 2 5.623 * * [simplify]: Extracting #5: cost 4 inf + 448 5.623 * * [simplify]: Extracting #6: cost 1 inf + 892 5.623 * * [simplify]: Extracting #7: cost 0 inf + 1134 5.624 * [simplify]: Simplified to (* (sqrt (sin phi1)) (sqrt (sin phi2))) 5.624 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 5.624 * [simplify]: Simplifying (* (sqrt (sin phi1)) (sqrt (sin phi2))) 5.624 * * [simplify]: iters left: 4 (7 enodes) 5.627 * * [simplify]: iters left: 3 (22 enodes) 5.633 * * [simplify]: Extracting #0: cost 1 inf + 0 5.633 * * [simplify]: Extracting #1: cost 4 inf + 0 5.633 * * [simplify]: Extracting #2: cost 8 inf + 0 5.633 * * [simplify]: Extracting #3: cost 12 inf + 0 5.633 * * [simplify]: Extracting #4: cost 10 inf + 2 5.634 * * [simplify]: Extracting #5: cost 4 inf + 448 5.634 * * [simplify]: Extracting #6: cost 1 inf + 892 5.634 * * [simplify]: Extracting #7: cost 0 inf + 1134 5.635 * [simplify]: Simplified to (* (sqrt (sin phi1)) (sqrt (sin phi2))) 5.635 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 5.635 * * * * [progress]: [ 52 / 71 ] simplifiying candidate # 5.635 * [simplify]: Simplifying (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) 5.635 * * [simplify]: iters left: 6 (7 enodes) 5.638 * * [simplify]: iters left: 5 (24 enodes) 5.646 * * [simplify]: iters left: 4 (28 enodes) 5.653 * * [simplify]: Extracting #0: cost 1 inf + 0 5.653 * * [simplify]: Extracting #1: cost 6 inf + 0 5.653 * * [simplify]: Extracting #2: cost 12 inf + 0 5.653 * * [simplify]: Extracting #3: cost 13 inf + 1 5.653 * * [simplify]: Extracting #4: cost 8 inf + 246 5.654 * * [simplify]: Extracting #5: cost 3 inf + 1193 5.654 * * [simplify]: Extracting #6: cost 1 inf + 1656 5.655 * * [simplify]: Extracting #7: cost 0 inf + 1938 5.655 * [simplify]: Simplified to (* (* (sin phi1) (cbrt (sin phi2))) (cbrt (sin phi2))) 5.655 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (* (sin phi1) (cbrt (sin phi2))) (cbrt (sin phi2))) (cbrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 5.655 * * * * [progress]: [ 53 / 71 ] simplifiying candidate # 5.656 * [simplify]: Simplifying (* (sin phi1) (sqrt (sin phi2))) 5.656 * * [simplify]: iters left: 4 (6 enodes) 5.658 * * [simplify]: iters left: 3 (19 enodes) 5.663 * * [simplify]: Extracting #0: cost 1 inf + 0 5.663 * * [simplify]: Extracting #1: cost 4 inf + 0 5.663 * * [simplify]: Extracting #2: cost 8 inf + 0 5.663 * * [simplify]: Extracting #3: cost 9 inf + 1 5.663 * * [simplify]: Extracting #4: cost 0 inf + 852 5.664 * [simplify]: Simplified to (* (sin phi1) (sqrt (sin phi2))) 5.664 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (sqrt (sin phi2))) (sqrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 5.664 * * * * [progress]: [ 54 / 71 ] simplifiying candidate # 5.664 * [simplify]: Simplifying (* (sin phi1) 1) 5.664 * * [simplify]: iters left: 3 (4 enodes) 5.667 * * [simplify]: iters left: 2 (13 enodes) 5.671 * * [simplify]: iters left: 1 (17 enodes) 5.676 * * [simplify]: Extracting #0: cost 1 inf + 0 5.677 * * [simplify]: Extracting #1: cost 4 inf + 0 5.677 * * [simplify]: Extracting #2: cost 0 inf + 124 5.677 * [simplify]: Simplified to (sin phi1) 5.677 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 5.677 * * * * [progress]: [ 55 / 71 ] simplifiying candidate # 5.677 * [simplify]: Simplifying (* (cbrt (sin phi1)) (sin phi2)) 5.677 * * [simplify]: iters left: 4 (6 enodes) 5.682 * * [simplify]: iters left: 3 (19 enodes) 5.687 * * [simplify]: Extracting #0: cost 1 inf + 0 5.687 * * [simplify]: Extracting #1: cost 4 inf + 0 5.688 * * [simplify]: Extracting #2: cost 8 inf + 0 5.688 * * [simplify]: Extracting #3: cost 7 inf + 123 5.688 * * [simplify]: Extracting #4: cost 6 inf + 124 5.688 * * [simplify]: Extracting #5: cost 0 inf + 1012 5.688 * [simplify]: Simplified to (* (sin phi2) (cbrt (sin phi1))) 5.688 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (sin phi2) (cbrt (sin phi1)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 5.689 * * * * [progress]: [ 56 / 71 ] simplifiying candidate # 5.689 * [simplify]: Simplifying (* (sqrt (sin phi1)) (sin phi2)) 5.689 * * [simplify]: iters left: 4 (6 enodes) 5.692 * * [simplify]: iters left: 3 (19 enodes) 5.697 * * [simplify]: Extracting #0: cost 1 inf + 0 5.697 * * [simplify]: Extracting #1: cost 4 inf + 0 5.697 * * [simplify]: Extracting #2: cost 8 inf + 0 5.697 * * [simplify]: Extracting #3: cost 7 inf + 123 5.697 * * [simplify]: Extracting #4: cost 6 inf + 124 5.697 * * [simplify]: Extracting #5: cost 0 inf + 852 5.698 * [simplify]: Simplified to (* (sin phi2) (sqrt (sin phi1))) 5.698 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sin phi2) (sqrt (sin phi1)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 5.698 * * * * [progress]: [ 57 / 71 ] simplifiying candidate # 5.698 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 5.698 * * [simplify]: iters left: 3 (5 enodes) 5.700 * * [simplify]: iters left: 2 (16 enodes) 5.705 * * [simplify]: Extracting #0: cost 1 inf + 0 5.705 * * [simplify]: Extracting #1: cost 4 inf + 0 5.705 * * [simplify]: Extracting #2: cost 8 inf + 0 5.705 * * [simplify]: Extracting #3: cost 4 inf + 124 5.705 * * [simplify]: Extracting #4: cost 0 inf + 570 5.705 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 5.705 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* 1 (* (sin phi2) (sin phi1))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 5.705 * * * * [progress]: [ 58 / 71 ] simplifiying candidate #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))> 5.706 * [simplify]: Simplifying (real->posit16 (* (sin phi1) (sin phi2))) 5.706 * * [simplify]: iters left: 4 (6 enodes) 5.708 * * [simplify]: iters left: 3 (16 enodes) 5.713 * * [simplify]: Extracting #0: cost 1 inf + 0 5.713 * * [simplify]: Extracting #1: cost 2 inf + 0 5.713 * * [simplify]: Extracting #2: cost 4 inf + 0 5.713 * * [simplify]: Extracting #3: cost 8 inf + 0 5.713 * * [simplify]: Extracting #4: cost 4 inf + 124 5.713 * * [simplify]: Extracting #5: cost 0 inf + 570 5.713 * [simplify]: Simplified to (real->posit16 (* (sin phi2) (sin phi1))) 5.713 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (posit16->real (real->posit16 (* (sin phi2) (sin phi1)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 5.714 * * * * [progress]: [ 59 / 71 ] simplifiying candidate # 5.714 * * * * [progress]: [ 60 / 71 ] simplifiying candidate # 5.714 * [simplify]: Simplifying (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) 5.714 * * [simplify]: iters left: 6 (10 enodes) 5.721 * * [simplify]: iters left: 5 (43 enodes) 5.736 * * [simplify]: iters left: 4 (68 enodes) 5.756 * * [simplify]: iters left: 3 (99 enodes) 5.770 * * [simplify]: iters left: 2 (121 enodes) 5.787 * * [simplify]: iters left: 1 (130 enodes) 5.817 * * [simplify]: Extracting #0: cost 1 inf + 0 5.817 * * [simplify]: Extracting #1: cost 15 inf + 0 5.817 * * [simplify]: Extracting #2: cost 30 inf + 2 5.818 * * [simplify]: Extracting #3: cost 30 inf + 130 5.819 * * [simplify]: Extracting #4: cost 12 inf + 1530 5.820 * * [simplify]: Extracting #5: cost 1 inf + 2680 5.822 * * [simplify]: Extracting #6: cost 0 inf + 2843 5.823 * [simplify]: Simplified to (+ (* (+ (* lambda1 -1/2) lambda2) lambda1) 1) 5.823 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (+ (* lambda1 -1/2) lambda2) lambda1) 1)))) R)) 5.823 * * * * [progress]: [ 61 / 71 ] simplifiying candidate # 5.824 * [simplify]: Simplifying (cos (- lambda1 lambda2)) 5.824 * * [simplify]: iters left: 3 (4 enodes) 5.826 * * [simplify]: iters left: 2 (14 enodes) 5.829 * * [simplify]: iters left: 1 (17 enodes) 5.833 * * [simplify]: Extracting #0: cost 1 inf + 0 5.833 * * [simplify]: Extracting #1: cost 3 inf + 0 5.833 * * [simplify]: Extracting #2: cost 7 inf + 0 5.834 * * [simplify]: Extracting #3: cost 5 inf + 43 5.834 * * [simplify]: Extracting #4: cost 0 inf + 372 5.834 * [simplify]: Simplified to (cos (- lambda1 lambda2)) 5.834 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 5.834 * * * * [progress]: [ 62 / 71 ] simplifiying candidate # 5.834 * [simplify]: Simplifying (cos (- lambda1 lambda2)) 5.834 * * [simplify]: iters left: 3 (4 enodes) 5.836 * * [simplify]: iters left: 2 (14 enodes) 5.840 * * [simplify]: iters left: 1 (17 enodes) 5.844 * * [simplify]: Extracting #0: cost 1 inf + 0 5.844 * * [simplify]: Extracting #1: cost 3 inf + 0 5.844 * * [simplify]: Extracting #2: cost 7 inf + 0 5.844 * * [simplify]: Extracting #3: cost 5 inf + 43 5.844 * * [simplify]: Extracting #4: cost 0 inf + 372 5.844 * [simplify]: Simplified to (cos (- lambda1 lambda2)) 5.844 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 5.845 * * * * [progress]: [ 63 / 71 ] simplifiying candidate # 5.845 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 5.845 * * [simplify]: iters left: 6 (15 enodes) 5.851 * * [simplify]: iters left: 5 (53 enodes) 5.866 * * [simplify]: iters left: 4 (64 enodes) 5.884 * * [simplify]: iters left: 3 (69 enodes) 5.892 * * [simplify]: Extracting #0: cost 1 inf + 0 5.893 * * [simplify]: Extracting #1: cost 3 inf + 0 5.893 * * [simplify]: Extracting #2: cost 6 inf + 0 5.893 * * [simplify]: Extracting #3: cost 16 inf + 0 5.893 * * [simplify]: Extracting #4: cost 27 inf + 0 5.893 * * [simplify]: Extracting #5: cost 24 inf + 307 5.893 * * [simplify]: Extracting #6: cost 10 inf + 2175 5.894 * * [simplify]: Extracting #7: cost 0 inf + 5126 5.894 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 5.895 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 5.895 * * * * [progress]: [ 64 / 71 ] simplifiying candidate # 5.895 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 5.895 * * [simplify]: iters left: 6 (15 enodes) 5.898 * * [simplify]: iters left: 5 (53 enodes) 5.905 * * [simplify]: iters left: 4 (64 enodes) 5.915 * * [simplify]: iters left: 3 (69 enodes) 5.930 * * [simplify]: Extracting #0: cost 1 inf + 0 5.930 * * [simplify]: Extracting #1: cost 3 inf + 0 5.930 * * [simplify]: Extracting #2: cost 6 inf + 0 5.930 * * [simplify]: Extracting #3: cost 16 inf + 0 5.931 * * [simplify]: Extracting #4: cost 27 inf + 0 5.931 * * [simplify]: Extracting #5: cost 24 inf + 307 5.931 * * [simplify]: Extracting #6: cost 10 inf + 2175 5.932 * * [simplify]: Extracting #7: cost 0 inf + 5126 5.933 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 5.933 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 5.933 * * * * [progress]: [ 65 / 71 ] simplifiying candidate # 5.934 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 5.934 * * [simplify]: iters left: 6 (15 enodes) 5.937 * * [simplify]: iters left: 5 (53 enodes) 5.943 * * [simplify]: iters left: 4 (64 enodes) 5.952 * * [simplify]: iters left: 3 (69 enodes) 5.961 * * [simplify]: Extracting #0: cost 1 inf + 0 5.961 * * [simplify]: Extracting #1: cost 3 inf + 0 5.961 * * [simplify]: Extracting #2: cost 6 inf + 0 5.961 * * [simplify]: Extracting #3: cost 16 inf + 0 5.961 * * [simplify]: Extracting #4: cost 27 inf + 0 5.961 * * [simplify]: Extracting #5: cost 24 inf + 307 5.961 * * [simplify]: Extracting #6: cost 10 inf + 2175 5.962 * * [simplify]: Extracting #7: cost 0 inf + 5126 5.963 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 5.963 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 5.963 * * * * [progress]: [ 66 / 71 ] simplifiying candidate # 5.963 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 5.963 * * [simplify]: iters left: 6 (17 enodes) 5.967 * * [simplify]: iters left: 5 (60 enodes) 5.976 * * [simplify]: iters left: 4 (71 enodes) 5.992 * * [simplify]: iters left: 3 (76 enodes) 6.003 * * [simplify]: Extracting #0: cost 1 inf + 0 6.003 * * [simplify]: Extracting #1: cost 4 inf + 0 6.003 * * [simplify]: Extracting #2: cost 5 inf + 1 6.003 * * [simplify]: Extracting #3: cost 8 inf + 1 6.003 * * [simplify]: Extracting #4: cost 18 inf + 1 6.003 * * [simplify]: Extracting #5: cost 29 inf + 1 6.003 * * [simplify]: Extracting #6: cost 26 inf + 308 6.003 * * [simplify]: Extracting #7: cost 15 inf + 1931 6.004 * * [simplify]: Extracting #8: cost 2 inf + 5991 6.005 * * [simplify]: Extracting #9: cost 0 inf + 6397 6.006 * [simplify]: Simplified to (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) 6.006 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) 6.006 * * * * [progress]: [ 67 / 71 ] simplifiying candidate # 6.006 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 6.006 * * [simplify]: iters left: 6 (17 enodes) 6.010 * * [simplify]: iters left: 5 (60 enodes) 6.019 * * [simplify]: iters left: 4 (71 enodes) 6.038 * * [simplify]: iters left: 3 (76 enodes) 6.058 * * [simplify]: Extracting #0: cost 1 inf + 0 6.058 * * [simplify]: Extracting #1: cost 4 inf + 0 6.058 * * [simplify]: Extracting #2: cost 5 inf + 1 6.058 * * [simplify]: Extracting #3: cost 8 inf + 1 6.058 * * [simplify]: Extracting #4: cost 18 inf + 1 6.058 * * [simplify]: Extracting #5: cost 29 inf + 1 6.058 * * [simplify]: Extracting #6: cost 26 inf + 308 6.059 * * [simplify]: Extracting #7: cost 15 inf + 1931 6.060 * * [simplify]: Extracting #8: cost 2 inf + 5991 6.062 * * [simplify]: Extracting #9: cost 0 inf + 6397 6.064 * [simplify]: Simplified to (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) 6.064 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) 6.064 * * * * [progress]: [ 68 / 71 ] simplifiying candidate # 6.064 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 6.065 * * [simplify]: iters left: 6 (17 enodes) 6.072 * * [simplify]: iters left: 5 (60 enodes) 6.088 * * [simplify]: iters left: 4 (71 enodes) 6.108 * * [simplify]: iters left: 3 (76 enodes) 6.128 * * [simplify]: Extracting #0: cost 1 inf + 0 6.128 * * [simplify]: Extracting #1: cost 4 inf + 0 6.129 * * [simplify]: Extracting #2: cost 5 inf + 1 6.129 * * [simplify]: Extracting #3: cost 8 inf + 1 6.129 * * [simplify]: Extracting #4: cost 18 inf + 1 6.129 * * [simplify]: Extracting #5: cost 29 inf + 1 6.129 * * [simplify]: Extracting #6: cost 26 inf + 308 6.130 * * [simplify]: Extracting #7: cost 15 inf + 1931 6.131 * * [simplify]: Extracting #8: cost 2 inf + 5991 6.133 * * [simplify]: Extracting #9: cost 0 inf + 6397 6.136 * [simplify]: Simplified to (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) 6.136 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) 6.136 * * * * [progress]: [ 69 / 71 ] simplifiying candidate # 6.136 * [simplify]: Simplifying (* phi1 phi2) 6.136 * * [simplify]: iters left: 2 (3 enodes) 6.137 * * [simplify]: iters left: 1 (10 enodes) 6.138 * * [simplify]: Extracting #0: cost 1 inf + 0 6.138 * * [simplify]: Extracting #1: cost 4 inf + 0 6.138 * * [simplify]: Extracting #2: cost 2 inf + 2 6.138 * * [simplify]: Extracting #3: cost 0 inf + 86 6.138 * [simplify]: Simplified to (* phi1 phi2) 6.138 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* phi1 phi2) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 6.138 * * * * [progress]: [ 70 / 71 ] simplifiying candidate # 6.139 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 6.139 * * [simplify]: iters left: 3 (5 enodes) 6.140 * * [simplify]: iters left: 2 (16 enodes) 6.142 * * [simplify]: Extracting #0: cost 1 inf + 0 6.142 * * [simplify]: Extracting #1: cost 4 inf + 0 6.142 * * [simplify]: Extracting #2: cost 8 inf + 0 6.142 * * [simplify]: Extracting #3: cost 4 inf + 124 6.142 * * [simplify]: Extracting #4: cost 0 inf + 570 6.142 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 6.142 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 6.142 * * * * [progress]: [ 71 / 71 ] simplifiying candidate # 6.142 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 6.142 * * [simplify]: iters left: 3 (5 enodes) 6.143 * * [simplify]: iters left: 2 (16 enodes) 6.145 * * [simplify]: Extracting #0: cost 1 inf + 0 6.145 * * [simplify]: Extracting #1: cost 4 inf + 0 6.145 * * [simplify]: Extracting #2: cost 8 inf + 0 6.145 * * [simplify]: Extracting #3: cost 4 inf + 124 6.145 * * [simplify]: Extracting #4: cost 0 inf + 570 6.146 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 6.146 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 6.146 * * * [progress]: adding candidates to table 7.417 * * [progress]: iteration 2 / 4 7.417 * * * [progress]: picking best candidate 7.550 * * * * [pick]: Picked # 7.550 * * * [progress]: localizing error 7.636 * * * [progress]: generating rewritten candidates 7.636 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 7.638 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 7.644 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 7.665 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2) 7.685 * * * [progress]: generating series expansions 7.685 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 7.685 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 7.685 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 7.685 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 7.686 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 7.686 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 7.686 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 7.686 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 7.686 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 7.686 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 7.687 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 7.687 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 7.687 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 7.687 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 7.687 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 7.687 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 7.688 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 7.688 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 7.688 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 7.688 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 7.688 * [taylor]: Taking taylor expansion of 0 in phi2 7.688 * [backup-simplify]: Simplify 0 into 0 7.688 * [taylor]: Taking taylor expansion of 0 in lambda1 7.688 * [backup-simplify]: Simplify 0 into 0 7.688 * [taylor]: Taking taylor expansion of 0 in lambda2 7.688 * [backup-simplify]: Simplify 0 into 0 7.688 * [backup-simplify]: Simplify 0 into 0 7.688 * [taylor]: Taking taylor expansion of 0 in lambda1 7.688 * [backup-simplify]: Simplify 0 into 0 7.688 * [taylor]: Taking taylor expansion of 0 in lambda2 7.689 * [backup-simplify]: Simplify 0 into 0 7.689 * [backup-simplify]: Simplify 0 into 0 7.689 * [taylor]: Taking taylor expansion of 0 in lambda2 7.689 * [backup-simplify]: Simplify 0 into 0 7.689 * [backup-simplify]: Simplify 0 into 0 7.689 * [backup-simplify]: Simplify 0 into 0 7.689 * [taylor]: Taking taylor expansion of 0 in phi2 7.689 * [backup-simplify]: Simplify 0 into 0 7.689 * [taylor]: Taking taylor expansion of 0 in lambda1 7.689 * [backup-simplify]: Simplify 0 into 0 7.689 * [taylor]: Taking taylor expansion of 0 in lambda2 7.689 * [backup-simplify]: Simplify 0 into 0 7.689 * [backup-simplify]: Simplify 0 into 0 7.689 * [taylor]: Taking taylor expansion of 0 in lambda1 7.689 * [backup-simplify]: Simplify 0 into 0 7.689 * [taylor]: Taking taylor expansion of 0 in lambda2 7.689 * [backup-simplify]: Simplify 0 into 0 7.689 * [backup-simplify]: Simplify 0 into 0 7.689 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 7.689 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 7.689 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 7.690 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 7.690 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 7.690 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 7.690 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 7.690 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 7.691 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 7.691 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 7.691 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 7.691 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 7.692 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 7.692 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 7.692 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 7.692 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 7.693 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 7.693 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 7.693 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 7.693 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 7.693 * [taylor]: Taking taylor expansion of 0 in phi2 7.693 * [backup-simplify]: Simplify 0 into 0 7.693 * [taylor]: Taking taylor expansion of 0 in lambda1 7.693 * [backup-simplify]: Simplify 0 into 0 7.693 * [taylor]: Taking taylor expansion of 0 in lambda2 7.694 * [backup-simplify]: Simplify 0 into 0 7.694 * [backup-simplify]: Simplify 0 into 0 7.694 * [taylor]: Taking taylor expansion of 0 in lambda1 7.694 * [backup-simplify]: Simplify 0 into 0 7.694 * [taylor]: Taking taylor expansion of 0 in lambda2 7.694 * [backup-simplify]: Simplify 0 into 0 7.694 * [backup-simplify]: Simplify 0 into 0 7.694 * [taylor]: Taking taylor expansion of 0 in lambda2 7.694 * [backup-simplify]: Simplify 0 into 0 7.694 * [backup-simplify]: Simplify 0 into 0 7.694 * [backup-simplify]: Simplify 0 into 0 7.694 * [taylor]: Taking taylor expansion of 0 in phi2 7.694 * [backup-simplify]: Simplify 0 into 0 7.694 * [taylor]: Taking taylor expansion of 0 in lambda1 7.694 * [backup-simplify]: Simplify 0 into 0 7.694 * [taylor]: Taking taylor expansion of 0 in lambda2 7.694 * [backup-simplify]: Simplify 0 into 0 7.694 * [backup-simplify]: Simplify 0 into 0 7.694 * [taylor]: Taking taylor expansion of 0 in lambda1 7.694 * [backup-simplify]: Simplify 0 into 0 7.694 * [taylor]: Taking taylor expansion of 0 in lambda2 7.694 * [backup-simplify]: Simplify 0 into 0 7.694 * [backup-simplify]: Simplify 0 into 0 7.694 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 7.695 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 7.695 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 7.695 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 7.695 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 7.695 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 7.696 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 7.696 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 7.696 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 7.696 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 7.697 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 7.697 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 7.697 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 7.697 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 7.698 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 7.698 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 7.698 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 7.698 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 7.699 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 7.699 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 7.699 * [taylor]: Taking taylor expansion of 0 in phi2 7.699 * [backup-simplify]: Simplify 0 into 0 7.699 * [taylor]: Taking taylor expansion of 0 in lambda1 7.699 * [backup-simplify]: Simplify 0 into 0 7.699 * [taylor]: Taking taylor expansion of 0 in lambda2 7.699 * [backup-simplify]: Simplify 0 into 0 7.699 * [backup-simplify]: Simplify 0 into 0 7.699 * [taylor]: Taking taylor expansion of 0 in lambda1 7.699 * [backup-simplify]: Simplify 0 into 0 7.699 * [taylor]: Taking taylor expansion of 0 in lambda2 7.699 * [backup-simplify]: Simplify 0 into 0 7.699 * [backup-simplify]: Simplify 0 into 0 7.699 * [taylor]: Taking taylor expansion of 0 in lambda2 7.699 * [backup-simplify]: Simplify 0 into 0 7.699 * [backup-simplify]: Simplify 0 into 0 7.699 * [backup-simplify]: Simplify 0 into 0 7.699 * [taylor]: Taking taylor expansion of 0 in phi2 7.699 * [backup-simplify]: Simplify 0 into 0 7.699 * [taylor]: Taking taylor expansion of 0 in lambda1 7.699 * [backup-simplify]: Simplify 0 into 0 7.700 * [taylor]: Taking taylor expansion of 0 in lambda2 7.700 * [backup-simplify]: Simplify 0 into 0 7.700 * [backup-simplify]: Simplify 0 into 0 7.700 * [taylor]: Taking taylor expansion of 0 in lambda1 7.700 * [backup-simplify]: Simplify 0 into 0 7.700 * [taylor]: Taking taylor expansion of 0 in lambda2 7.700 * [backup-simplify]: Simplify 0 into 0 7.700 * [backup-simplify]: Simplify 0 into 0 7.700 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 7.700 * * * * [progress]: [ 2 / 4 ] generating series at (2) 7.701 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 7.701 * [approximate]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in (phi1 phi2 lambda1 lambda2 R) around 0 7.701 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R 7.701 * [taylor]: Taking taylor expansion of R in R 7.701 * [backup-simplify]: Simplify 0 into 0 7.701 * [backup-simplify]: Simplify 1 into 1 7.701 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R 7.701 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 7.701 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 7.701 * [taylor]: Taking taylor expansion of R in lambda2 7.701 * [backup-simplify]: Simplify R into R 7.701 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 7.701 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 7.701 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 7.701 * [taylor]: Taking taylor expansion of R in lambda1 7.701 * [backup-simplify]: Simplify R into R 7.701 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 7.702 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 7.702 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 7.702 * [taylor]: Taking taylor expansion of R in phi2 7.702 * [backup-simplify]: Simplify R into R 7.702 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 7.702 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 7.702 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 7.702 * [taylor]: Taking taylor expansion of R in phi1 7.702 * [backup-simplify]: Simplify R into R 7.702 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 7.702 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 7.702 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 7.703 * [taylor]: Taking taylor expansion of R in phi1 7.703 * [backup-simplify]: Simplify R into R 7.703 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 7.703 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 7.703 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 7.703 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 7.703 * [taylor]: Taking taylor expansion of R in phi2 7.703 * [backup-simplify]: Simplify R into R 7.703 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 7.704 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 7.704 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 7.704 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 7.704 * [taylor]: Taking taylor expansion of R in lambda1 7.704 * [backup-simplify]: Simplify R into R 7.704 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 7.704 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 7.705 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 7.705 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 7.705 * [taylor]: Taking taylor expansion of R in lambda2 7.705 * [backup-simplify]: Simplify R into R 7.705 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 7.705 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 7.706 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 7.706 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R 7.706 * [taylor]: Taking taylor expansion of R in R 7.706 * [backup-simplify]: Simplify 0 into 0 7.706 * [backup-simplify]: Simplify 1 into 1 7.706 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R 7.707 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 7.707 * [backup-simplify]: Simplify (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into 0 7.707 * [backup-simplify]: Simplify 0 into 0 7.708 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 7.708 * [taylor]: Taking taylor expansion of 0 in phi2 7.708 * [backup-simplify]: Simplify 0 into 0 7.708 * [taylor]: Taking taylor expansion of 0 in lambda1 7.708 * [backup-simplify]: Simplify 0 into 0 7.708 * [taylor]: Taking taylor expansion of 0 in lambda2 7.708 * [backup-simplify]: Simplify 0 into 0 7.708 * [taylor]: Taking taylor expansion of 0 in R 7.708 * [backup-simplify]: Simplify 0 into 0 7.708 * [backup-simplify]: Simplify 0 into 0 7.709 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 7.709 * [taylor]: Taking taylor expansion of 0 in lambda1 7.709 * [backup-simplify]: Simplify 0 into 0 7.709 * [taylor]: Taking taylor expansion of 0 in lambda2 7.709 * [backup-simplify]: Simplify 0 into 0 7.709 * [taylor]: Taking taylor expansion of 0 in R 7.709 * [backup-simplify]: Simplify 0 into 0 7.709 * [backup-simplify]: Simplify 0 into 0 7.710 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 7.710 * [taylor]: Taking taylor expansion of 0 in lambda2 7.710 * [backup-simplify]: Simplify 0 into 0 7.710 * [taylor]: Taking taylor expansion of 0 in R 7.710 * [backup-simplify]: Simplify 0 into 0 7.710 * [backup-simplify]: Simplify 0 into 0 7.710 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 7.711 * [taylor]: Taking taylor expansion of 0 in R 7.711 * [backup-simplify]: Simplify 0 into 0 7.711 * [backup-simplify]: Simplify 0 into 0 7.712 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 7.712 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 7.714 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 7.714 * [taylor]: Taking taylor expansion of 0 in phi2 7.714 * [backup-simplify]: Simplify 0 into 0 7.714 * [taylor]: Taking taylor expansion of 0 in lambda1 7.714 * [backup-simplify]: Simplify 0 into 0 7.714 * [taylor]: Taking taylor expansion of 0 in lambda2 7.714 * [backup-simplify]: Simplify 0 into 0 7.714 * [taylor]: Taking taylor expansion of 0 in R 7.714 * [backup-simplify]: Simplify 0 into 0 7.714 * [backup-simplify]: Simplify 0 into 0 7.714 * [taylor]: Taking taylor expansion of 0 in lambda1 7.714 * [backup-simplify]: Simplify 0 into 0 7.714 * [taylor]: Taking taylor expansion of 0 in lambda2 7.714 * [backup-simplify]: Simplify 0 into 0 7.714 * [taylor]: Taking taylor expansion of 0 in R 7.714 * [backup-simplify]: Simplify 0 into 0 7.714 * [backup-simplify]: Simplify 0 into 0 7.715 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 7.715 * [taylor]: Taking taylor expansion of 0 in lambda1 7.715 * [backup-simplify]: Simplify 0 into 0 7.715 * [taylor]: Taking taylor expansion of 0 in lambda2 7.715 * [backup-simplify]: Simplify 0 into 0 7.715 * [taylor]: Taking taylor expansion of 0 in R 7.715 * [backup-simplify]: Simplify 0 into 0 7.715 * [backup-simplify]: Simplify 0 into 0 7.715 * [taylor]: Taking taylor expansion of 0 in lambda2 7.715 * [backup-simplify]: Simplify 0 into 0 7.715 * [taylor]: Taking taylor expansion of 0 in R 7.715 * [backup-simplify]: Simplify 0 into 0 7.715 * [backup-simplify]: Simplify 0 into 0 7.716 * [taylor]: Taking taylor expansion of 0 in lambda2 7.716 * [backup-simplify]: Simplify 0 into 0 7.716 * [taylor]: Taking taylor expansion of 0 in R 7.716 * [backup-simplify]: Simplify 0 into 0 7.716 * [backup-simplify]: Simplify 0 into 0 7.717 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 7.717 * [taylor]: Taking taylor expansion of 0 in lambda2 7.717 * [backup-simplify]: Simplify 0 into 0 7.717 * [taylor]: Taking taylor expansion of 0 in R 7.717 * [backup-simplify]: Simplify 0 into 0 7.717 * [backup-simplify]: Simplify 0 into 0 7.718 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* R (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 7.719 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) (/ 1 R)) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 7.719 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 7.719 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R 7.719 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R 7.720 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 7.720 * [taylor]: Taking taylor expansion of R in R 7.720 * [backup-simplify]: Simplify 0 into 0 7.720 * [backup-simplify]: Simplify 1 into 1 7.721 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 7.721 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2 7.721 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 7.721 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 7.721 * [taylor]: Taking taylor expansion of R in lambda2 7.721 * [backup-simplify]: Simplify R into R 7.721 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 7.722 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1 7.722 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 7.722 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 7.722 * [taylor]: Taking taylor expansion of R in lambda1 7.722 * [backup-simplify]: Simplify R into R 7.722 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 7.722 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2 7.722 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 7.723 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 7.723 * [taylor]: Taking taylor expansion of R in phi2 7.723 * [backup-simplify]: Simplify R into R 7.723 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 7.723 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1 7.723 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 7.724 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 7.724 * [taylor]: Taking taylor expansion of R in phi1 7.724 * [backup-simplify]: Simplify R into R 7.724 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 7.724 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1 7.724 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 7.725 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 7.725 * [taylor]: Taking taylor expansion of R in phi1 7.725 * [backup-simplify]: Simplify R into R 7.725 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 7.725 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2 7.725 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 7.726 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 7.726 * [taylor]: Taking taylor expansion of R in phi2 7.726 * [backup-simplify]: Simplify R into R 7.726 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 7.726 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1 7.726 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 7.727 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 7.727 * [taylor]: Taking taylor expansion of R in lambda1 7.727 * [backup-simplify]: Simplify R into R 7.727 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 7.727 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2 7.727 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 7.727 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 7.727 * [taylor]: Taking taylor expansion of R in lambda2 7.728 * [backup-simplify]: Simplify R into R 7.728 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 7.728 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R 7.728 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R 7.728 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 7.728 * [taylor]: Taking taylor expansion of R in R 7.728 * [backup-simplify]: Simplify 0 into 0 7.728 * [backup-simplify]: Simplify 1 into 1 7.729 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 7.729 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 7.730 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 7.730 * [taylor]: Taking taylor expansion of 0 in phi2 7.730 * [backup-simplify]: Simplify 0 into 0 7.730 * [taylor]: Taking taylor expansion of 0 in lambda1 7.730 * [backup-simplify]: Simplify 0 into 0 7.730 * [taylor]: Taking taylor expansion of 0 in lambda2 7.730 * [backup-simplify]: Simplify 0 into 0 7.730 * [taylor]: Taking taylor expansion of 0 in R 7.730 * [backup-simplify]: Simplify 0 into 0 7.730 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 7.731 * [taylor]: Taking taylor expansion of 0 in lambda1 7.731 * [backup-simplify]: Simplify 0 into 0 7.731 * [taylor]: Taking taylor expansion of 0 in lambda2 7.731 * [backup-simplify]: Simplify 0 into 0 7.731 * [taylor]: Taking taylor expansion of 0 in R 7.731 * [backup-simplify]: Simplify 0 into 0 7.731 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 7.731 * [taylor]: Taking taylor expansion of 0 in lambda2 7.731 * [backup-simplify]: Simplify 0 into 0 7.731 * [taylor]: Taking taylor expansion of 0 in R 7.731 * [backup-simplify]: Simplify 0 into 0 7.732 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 7.732 * [taylor]: Taking taylor expansion of 0 in R 7.732 * [backup-simplify]: Simplify 0 into 0 7.733 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)))) into 0 7.733 * [backup-simplify]: Simplify 0 into 0 7.734 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 7.734 * [taylor]: Taking taylor expansion of 0 in phi2 7.734 * [backup-simplify]: Simplify 0 into 0 7.734 * [taylor]: Taking taylor expansion of 0 in lambda1 7.734 * [backup-simplify]: Simplify 0 into 0 7.734 * [taylor]: Taking taylor expansion of 0 in lambda2 7.734 * [backup-simplify]: Simplify 0 into 0 7.734 * [taylor]: Taking taylor expansion of 0 in R 7.734 * [backup-simplify]: Simplify 0 into 0 7.734 * [taylor]: Taking taylor expansion of 0 in lambda1 7.734 * [backup-simplify]: Simplify 0 into 0 7.734 * [taylor]: Taking taylor expansion of 0 in lambda2 7.734 * [backup-simplify]: Simplify 0 into 0 7.734 * [taylor]: Taking taylor expansion of 0 in R 7.734 * [backup-simplify]: Simplify 0 into 0 7.734 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 7.734 * [taylor]: Taking taylor expansion of 0 in lambda1 7.734 * [backup-simplify]: Simplify 0 into 0 7.734 * [taylor]: Taking taylor expansion of 0 in lambda2 7.734 * [backup-simplify]: Simplify 0 into 0 7.734 * [taylor]: Taking taylor expansion of 0 in R 7.734 * [backup-simplify]: Simplify 0 into 0 7.735 * [taylor]: Taking taylor expansion of 0 in lambda2 7.735 * [backup-simplify]: Simplify 0 into 0 7.735 * [taylor]: Taking taylor expansion of 0 in R 7.735 * [backup-simplify]: Simplify 0 into 0 7.735 * [taylor]: Taking taylor expansion of 0 in lambda2 7.735 * [backup-simplify]: Simplify 0 into 0 7.735 * [taylor]: Taking taylor expansion of 0 in R 7.735 * [backup-simplify]: Simplify 0 into 0 7.735 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 7.735 * [taylor]: Taking taylor expansion of 0 in lambda2 7.735 * [backup-simplify]: Simplify 0 into 0 7.735 * [taylor]: Taking taylor expansion of 0 in R 7.735 * [backup-simplify]: Simplify 0 into 0 7.735 * [taylor]: Taking taylor expansion of 0 in R 7.735 * [backup-simplify]: Simplify 0 into 0 7.735 * [taylor]: Taking taylor expansion of 0 in R 7.735 * [backup-simplify]: Simplify 0 into 0 7.735 * [taylor]: Taking taylor expansion of 0 in R 7.735 * [backup-simplify]: Simplify 0 into 0 7.736 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 7.736 * [taylor]: Taking taylor expansion of 0 in R 7.736 * [backup-simplify]: Simplify 0 into 0 7.736 * [backup-simplify]: Simplify 0 into 0 7.736 * [backup-simplify]: Simplify 0 into 0 7.736 * [backup-simplify]: Simplify 0 into 0 7.736 * [backup-simplify]: Simplify 0 into 0 7.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.737 * [backup-simplify]: Simplify 0 into 0 7.738 * [backup-simplify]: Simplify (* (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 7.739 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) (/ 1 (- R))) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 7.739 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 7.739 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R 7.739 * [taylor]: Taking taylor expansion of -1 in R 7.739 * [backup-simplify]: Simplify -1 into -1 7.739 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R 7.739 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R 7.739 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 7.739 * [taylor]: Taking taylor expansion of R in R 7.739 * [backup-simplify]: Simplify 0 into 0 7.739 * [backup-simplify]: Simplify 1 into 1 7.740 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 7.740 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda2 7.740 * [taylor]: Taking taylor expansion of -1 in lambda2 7.740 * [backup-simplify]: Simplify -1 into -1 7.740 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda2 7.740 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 7.740 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 7.740 * [taylor]: Taking taylor expansion of R in lambda2 7.740 * [backup-simplify]: Simplify R into R 7.741 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 7.741 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1 7.741 * [taylor]: Taking taylor expansion of -1 in lambda1 7.741 * [backup-simplify]: Simplify -1 into -1 7.741 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1 7.741 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 7.741 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 7.741 * [taylor]: Taking taylor expansion of R in lambda1 7.741 * [backup-simplify]: Simplify R into R 7.742 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 7.742 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi2 7.742 * [taylor]: Taking taylor expansion of -1 in phi2 7.742 * [backup-simplify]: Simplify -1 into -1 7.742 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi2 7.742 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 7.742 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 7.742 * [taylor]: Taking taylor expansion of R in phi2 7.742 * [backup-simplify]: Simplify R into R 7.743 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 7.743 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1 7.743 * [taylor]: Taking taylor expansion of -1 in phi1 7.743 * [backup-simplify]: Simplify -1 into -1 7.743 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1 7.743 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 7.743 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 7.743 * [taylor]: Taking taylor expansion of R in phi1 7.743 * [backup-simplify]: Simplify R into R 7.744 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 7.744 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1 7.744 * [taylor]: Taking taylor expansion of -1 in phi1 7.744 * [backup-simplify]: Simplify -1 into -1 7.744 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1 7.744 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 7.744 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 7.744 * [taylor]: Taking taylor expansion of R in phi1 7.744 * [backup-simplify]: Simplify R into R 7.745 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 7.745 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) 7.745 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in phi2 7.745 * [taylor]: Taking taylor expansion of -1 in phi2 7.745 * [backup-simplify]: Simplify -1 into -1 7.745 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in phi2 7.745 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 7.746 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 7.746 * [taylor]: Taking taylor expansion of R in phi2 7.746 * [backup-simplify]: Simplify R into R 7.746 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) 7.747 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 7.747 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1 7.747 * [taylor]: Taking taylor expansion of -1 in lambda1 7.747 * [backup-simplify]: Simplify -1 into -1 7.747 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1 7.747 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 7.747 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 7.747 * [taylor]: Taking taylor expansion of R in lambda1 7.747 * [backup-simplify]: Simplify R into R 7.748 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 7.748 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) 7.748 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in lambda2 7.748 * [taylor]: Taking taylor expansion of -1 in lambda2 7.748 * [backup-simplify]: Simplify -1 into -1 7.748 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in lambda2 7.748 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 7.749 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 7.749 * [taylor]: Taking taylor expansion of R in lambda2 7.749 * [backup-simplify]: Simplify R into R 7.750 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) 7.751 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 7.751 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R 7.751 * [taylor]: Taking taylor expansion of -1 in R 7.751 * [backup-simplify]: Simplify -1 into -1 7.751 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R 7.751 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R 7.752 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 7.752 * [taylor]: Taking taylor expansion of R in R 7.752 * [backup-simplify]: Simplify 0 into 0 7.752 * [backup-simplify]: Simplify 1 into 1 7.753 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 7.754 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) 7.754 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 7.756 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0 7.759 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0 7.759 * [taylor]: Taking taylor expansion of 0 in phi2 7.759 * [backup-simplify]: Simplify 0 into 0 7.759 * [taylor]: Taking taylor expansion of 0 in lambda1 7.759 * [backup-simplify]: Simplify 0 into 0 7.759 * [taylor]: Taking taylor expansion of 0 in lambda2 7.760 * [backup-simplify]: Simplify 0 into 0 7.760 * [taylor]: Taking taylor expansion of 0 in R 7.760 * [backup-simplify]: Simplify 0 into 0 7.761 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0 7.762 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0 7.762 * [taylor]: Taking taylor expansion of 0 in lambda1 7.762 * [backup-simplify]: Simplify 0 into 0 7.762 * [taylor]: Taking taylor expansion of 0 in lambda2 7.762 * [backup-simplify]: Simplify 0 into 0 7.762 * [taylor]: Taking taylor expansion of 0 in R 7.762 * [backup-simplify]: Simplify 0 into 0 7.763 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0 7.765 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0 7.765 * [taylor]: Taking taylor expansion of 0 in lambda2 7.765 * [backup-simplify]: Simplify 0 into 0 7.765 * [taylor]: Taking taylor expansion of 0 in R 7.765 * [backup-simplify]: Simplify 0 into 0 7.766 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0 7.767 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0 7.768 * [taylor]: Taking taylor expansion of 0 in R 7.768 * [backup-simplify]: Simplify 0 into 0 7.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)))) into 0 7.770 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into 0 7.770 * [backup-simplify]: Simplify 0 into 0 7.771 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 7.773 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0 7.773 * [taylor]: Taking taylor expansion of 0 in phi2 7.773 * [backup-simplify]: Simplify 0 into 0 7.773 * [taylor]: Taking taylor expansion of 0 in lambda1 7.773 * [backup-simplify]: Simplify 0 into 0 7.773 * [taylor]: Taking taylor expansion of 0 in lambda2 7.773 * [backup-simplify]: Simplify 0 into 0 7.773 * [taylor]: Taking taylor expansion of 0 in R 7.773 * [backup-simplify]: Simplify 0 into 0 7.773 * [taylor]: Taking taylor expansion of 0 in lambda1 7.774 * [backup-simplify]: Simplify 0 into 0 7.774 * [taylor]: Taking taylor expansion of 0 in lambda2 7.774 * [backup-simplify]: Simplify 0 into 0 7.774 * [taylor]: Taking taylor expansion of 0 in R 7.774 * [backup-simplify]: Simplify 0 into 0 7.775 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 7.777 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0 7.777 * [taylor]: Taking taylor expansion of 0 in lambda1 7.777 * [backup-simplify]: Simplify 0 into 0 7.777 * [taylor]: Taking taylor expansion of 0 in lambda2 7.777 * [backup-simplify]: Simplify 0 into 0 7.777 * [taylor]: Taking taylor expansion of 0 in R 7.777 * [backup-simplify]: Simplify 0 into 0 7.777 * [taylor]: Taking taylor expansion of 0 in lambda2 7.777 * [backup-simplify]: Simplify 0 into 0 7.777 * [taylor]: Taking taylor expansion of 0 in R 7.777 * [backup-simplify]: Simplify 0 into 0 7.777 * [taylor]: Taking taylor expansion of 0 in lambda2 7.777 * [backup-simplify]: Simplify 0 into 0 7.777 * [taylor]: Taking taylor expansion of 0 in R 7.777 * [backup-simplify]: Simplify 0 into 0 7.778 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 7.780 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0 7.780 * [taylor]: Taking taylor expansion of 0 in lambda2 7.780 * [backup-simplify]: Simplify 0 into 0 7.780 * [taylor]: Taking taylor expansion of 0 in R 7.780 * [backup-simplify]: Simplify 0 into 0 7.780 * [taylor]: Taking taylor expansion of 0 in R 7.780 * [backup-simplify]: Simplify 0 into 0 7.780 * [taylor]: Taking taylor expansion of 0 in R 7.780 * [backup-simplify]: Simplify 0 into 0 7.780 * [taylor]: Taking taylor expansion of 0 in R 7.780 * [backup-simplify]: Simplify 0 into 0 7.781 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 7.783 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0 7.783 * [taylor]: Taking taylor expansion of 0 in R 7.783 * [backup-simplify]: Simplify 0 into 0 7.783 * [backup-simplify]: Simplify 0 into 0 7.783 * [backup-simplify]: Simplify 0 into 0 7.783 * [backup-simplify]: Simplify 0 into 0 7.783 * [backup-simplify]: Simplify 0 into 0 7.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.787 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))))) into 0 7.787 * [backup-simplify]: Simplify 0 into 0 7.789 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 7.789 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 7.789 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2)) 7.789 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 7.789 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 7.789 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 7.789 * [taylor]: Taking taylor expansion of phi1 in phi2 7.790 * [backup-simplify]: Simplify phi1 into phi1 7.790 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 7.790 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 7.790 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 7.790 * [taylor]: Taking taylor expansion of phi2 in phi2 7.790 * [backup-simplify]: Simplify 0 into 0 7.790 * [backup-simplify]: Simplify 1 into 1 7.790 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 7.790 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 7.790 * [taylor]: Taking taylor expansion of phi1 in phi1 7.790 * [backup-simplify]: Simplify 0 into 0 7.790 * [backup-simplify]: Simplify 1 into 1 7.790 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 7.790 * [taylor]: Taking taylor expansion of phi2 in phi1 7.790 * [backup-simplify]: Simplify phi2 into phi2 7.790 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 7.790 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 7.790 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 7.790 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 7.790 * [taylor]: Taking taylor expansion of phi1 in phi1 7.790 * [backup-simplify]: Simplify 0 into 0 7.790 * [backup-simplify]: Simplify 1 into 1 7.790 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 7.790 * [taylor]: Taking taylor expansion of phi2 in phi1 7.790 * [backup-simplify]: Simplify phi2 into phi2 7.790 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 7.790 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 7.790 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 7.791 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 7.791 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 7.791 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 7.791 * [taylor]: Taking taylor expansion of 0 in phi2 7.791 * [backup-simplify]: Simplify 0 into 0 7.791 * [backup-simplify]: Simplify 0 into 0 7.791 * [backup-simplify]: Simplify (+ 0) into 0 7.792 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 7.792 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.793 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 7.793 * [backup-simplify]: Simplify (+ 0 0) into 0 7.794 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 7.794 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 7.794 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 7.794 * [taylor]: Taking taylor expansion of phi2 in phi2 7.794 * [backup-simplify]: Simplify 0 into 0 7.794 * [backup-simplify]: Simplify 1 into 1 7.795 * [backup-simplify]: Simplify 0 into 0 7.795 * [backup-simplify]: Simplify 0 into 0 7.795 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.796 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 7.797 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.797 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 7.798 * [backup-simplify]: Simplify (+ 0 0) into 0 7.798 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.799 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 7.799 * [taylor]: Taking taylor expansion of 0 in phi2 7.799 * [backup-simplify]: Simplify 0 into 0 7.799 * [backup-simplify]: Simplify 0 into 0 7.800 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 7.800 * [backup-simplify]: Simplify 1 into 1 7.800 * [backup-simplify]: Simplify 0 into 0 7.801 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.802 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.803 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.804 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.805 * [backup-simplify]: Simplify (+ 0 0) into 0 7.806 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 7.807 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 7.807 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 7.807 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 7.807 * [taylor]: Taking taylor expansion of 1/6 in phi2 7.807 * [backup-simplify]: Simplify 1/6 into 1/6 7.807 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 7.807 * [taylor]: Taking taylor expansion of phi2 in phi2 7.807 * [backup-simplify]: Simplify 0 into 0 7.807 * [backup-simplify]: Simplify 1 into 1 7.808 * [backup-simplify]: Simplify (* 1/6 0) into 0 7.808 * [backup-simplify]: Simplify (- 0) into 0 7.808 * [backup-simplify]: Simplify 0 into 0 7.808 * [backup-simplify]: Simplify 0 into 0 7.809 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.809 * [backup-simplify]: Simplify 0 into 0 7.809 * [backup-simplify]: Simplify 0 into 0 7.811 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 7.813 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.814 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.815 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 7.815 * [backup-simplify]: Simplify (+ 0 0) into 0 7.817 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.818 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 7.818 * [taylor]: Taking taylor expansion of 0 in phi2 7.818 * [backup-simplify]: Simplify 0 into 0 7.818 * [backup-simplify]: Simplify 0 into 0 7.818 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2) 7.819 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 7.819 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0 7.819 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 7.819 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 7.819 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 7.819 * [taylor]: Taking taylor expansion of phi2 in phi2 7.819 * [backup-simplify]: Simplify 0 into 0 7.819 * [backup-simplify]: Simplify 1 into 1 7.819 * [backup-simplify]: Simplify (/ 1 1) into 1 7.819 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 7.819 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 7.819 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 7.819 * [taylor]: Taking taylor expansion of phi1 in phi2 7.819 * [backup-simplify]: Simplify phi1 into phi1 7.819 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 7.819 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 7.819 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 7.820 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 7.820 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 7.820 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 7.820 * [taylor]: Taking taylor expansion of phi2 in phi1 7.820 * [backup-simplify]: Simplify phi2 into phi2 7.820 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 7.820 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 7.820 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 7.820 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 7.820 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 7.820 * [taylor]: Taking taylor expansion of phi1 in phi1 7.820 * [backup-simplify]: Simplify 0 into 0 7.820 * [backup-simplify]: Simplify 1 into 1 7.820 * [backup-simplify]: Simplify (/ 1 1) into 1 7.820 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 7.820 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 7.820 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 7.820 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 7.820 * [taylor]: Taking taylor expansion of phi2 in phi1 7.821 * [backup-simplify]: Simplify phi2 into phi2 7.821 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 7.821 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 7.821 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 7.821 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 7.821 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 7.821 * [taylor]: Taking taylor expansion of phi1 in phi1 7.821 * [backup-simplify]: Simplify 0 into 0 7.821 * [backup-simplify]: Simplify 1 into 1 7.821 * [backup-simplify]: Simplify (/ 1 1) into 1 7.821 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 7.821 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 7.822 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 7.822 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 7.822 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 7.822 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 7.822 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 7.822 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 7.822 * [taylor]: Taking taylor expansion of phi2 in phi2 7.822 * [backup-simplify]: Simplify 0 into 0 7.822 * [backup-simplify]: Simplify 1 into 1 7.822 * [backup-simplify]: Simplify (/ 1 1) into 1 7.822 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 7.822 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 7.822 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 7.823 * [taylor]: Taking taylor expansion of phi1 in phi2 7.823 * [backup-simplify]: Simplify phi1 into phi1 7.823 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 7.823 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 7.823 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 7.823 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 7.823 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 7.823 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 7.823 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 7.823 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 7.824 * [backup-simplify]: Simplify (+ 0) into 0 7.824 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 7.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 7.825 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.826 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 7.826 * [backup-simplify]: Simplify (+ 0 0) into 0 7.826 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 7.826 * [taylor]: Taking taylor expansion of 0 in phi2 7.826 * [backup-simplify]: Simplify 0 into 0 7.826 * [backup-simplify]: Simplify 0 into 0 7.827 * [backup-simplify]: Simplify (+ 0) into 0 7.827 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 7.827 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 7.828 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.828 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 7.829 * [backup-simplify]: Simplify (+ 0 0) into 0 7.829 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 7.829 * [backup-simplify]: Simplify 0 into 0 7.829 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.830 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 7.830 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 7.830 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.831 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 7.831 * [backup-simplify]: Simplify (+ 0 0) into 0 7.831 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 7.831 * [taylor]: Taking taylor expansion of 0 in phi2 7.831 * [backup-simplify]: Simplify 0 into 0 7.831 * [backup-simplify]: Simplify 0 into 0 7.831 * [backup-simplify]: Simplify 0 into 0 7.832 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.832 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 7.832 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 7.833 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.833 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 7.833 * [backup-simplify]: Simplify (+ 0 0) into 0 7.834 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 7.834 * [backup-simplify]: Simplify 0 into 0 7.834 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.835 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.835 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 7.836 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.836 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.836 * [backup-simplify]: Simplify (+ 0 0) into 0 7.837 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0 7.837 * [taylor]: Taking taylor expansion of 0 in phi2 7.837 * [backup-simplify]: Simplify 0 into 0 7.837 * [backup-simplify]: Simplify 0 into 0 7.837 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2)) 7.837 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 7.837 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 7.837 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 7.837 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 7.837 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 7.837 * [taylor]: Taking taylor expansion of -1 in phi2 7.837 * [backup-simplify]: Simplify -1 into -1 7.837 * [taylor]: Taking taylor expansion of phi1 in phi2 7.837 * [backup-simplify]: Simplify phi1 into phi1 7.837 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 7.838 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 7.838 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 7.838 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 7.838 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 7.838 * [taylor]: Taking taylor expansion of -1 in phi2 7.838 * [backup-simplify]: Simplify -1 into -1 7.838 * [taylor]: Taking taylor expansion of phi2 in phi2 7.838 * [backup-simplify]: Simplify 0 into 0 7.838 * [backup-simplify]: Simplify 1 into 1 7.838 * [backup-simplify]: Simplify (/ -1 1) into -1 7.838 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 7.838 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 7.838 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 7.838 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 7.838 * [taylor]: Taking taylor expansion of -1 in phi1 7.838 * [backup-simplify]: Simplify -1 into -1 7.838 * [taylor]: Taking taylor expansion of phi1 in phi1 7.838 * [backup-simplify]: Simplify 0 into 0 7.838 * [backup-simplify]: Simplify 1 into 1 7.838 * [backup-simplify]: Simplify (/ -1 1) into -1 7.838 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 7.838 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 7.838 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 7.838 * [taylor]: Taking taylor expansion of -1 in phi1 7.839 * [backup-simplify]: Simplify -1 into -1 7.839 * [taylor]: Taking taylor expansion of phi2 in phi1 7.839 * [backup-simplify]: Simplify phi2 into phi2 7.839 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 7.839 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 7.839 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 7.839 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 7.839 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 7.839 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 7.839 * [taylor]: Taking taylor expansion of -1 in phi1 7.839 * [backup-simplify]: Simplify -1 into -1 7.839 * [taylor]: Taking taylor expansion of phi1 in phi1 7.839 * [backup-simplify]: Simplify 0 into 0 7.839 * [backup-simplify]: Simplify 1 into 1 7.839 * [backup-simplify]: Simplify (/ -1 1) into -1 7.839 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 7.839 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 7.839 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 7.839 * [taylor]: Taking taylor expansion of -1 in phi1 7.839 * [backup-simplify]: Simplify -1 into -1 7.839 * [taylor]: Taking taylor expansion of phi2 in phi1 7.839 * [backup-simplify]: Simplify phi2 into phi2 7.839 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 7.839 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 7.839 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 7.839 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 7.839 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 7.840 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 7.840 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 7.840 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 7.840 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 7.840 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 7.840 * [taylor]: Taking taylor expansion of -1 in phi2 7.840 * [backup-simplify]: Simplify -1 into -1 7.840 * [taylor]: Taking taylor expansion of phi1 in phi2 7.840 * [backup-simplify]: Simplify phi1 into phi1 7.840 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 7.840 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 7.840 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 7.840 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 7.840 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 7.840 * [taylor]: Taking taylor expansion of -1 in phi2 7.840 * [backup-simplify]: Simplify -1 into -1 7.840 * [taylor]: Taking taylor expansion of phi2 in phi2 7.840 * [backup-simplify]: Simplify 0 into 0 7.840 * [backup-simplify]: Simplify 1 into 1 7.840 * [backup-simplify]: Simplify (/ -1 1) into -1 7.840 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 7.840 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 7.840 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 7.840 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 7.840 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 7.841 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 7.841 * [backup-simplify]: Simplify (+ 0) into 0 7.841 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 7.841 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 7.842 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.842 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 7.842 * [backup-simplify]: Simplify (+ 0 0) into 0 7.843 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 7.843 * [taylor]: Taking taylor expansion of 0 in phi2 7.843 * [backup-simplify]: Simplify 0 into 0 7.843 * [backup-simplify]: Simplify 0 into 0 7.843 * [backup-simplify]: Simplify (+ 0) into 0 7.843 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 7.843 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 7.844 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.844 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 7.844 * [backup-simplify]: Simplify (+ 0 0) into 0 7.844 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 7.844 * [backup-simplify]: Simplify 0 into 0 7.845 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.845 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 7.845 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 7.846 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.846 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 7.846 * [backup-simplify]: Simplify (+ 0 0) into 0 7.847 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 7.847 * [taylor]: Taking taylor expansion of 0 in phi2 7.847 * [backup-simplify]: Simplify 0 into 0 7.847 * [backup-simplify]: Simplify 0 into 0 7.847 * [backup-simplify]: Simplify 0 into 0 7.847 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.848 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 7.848 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 7.848 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.849 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 7.849 * [backup-simplify]: Simplify (+ 0 0) into 0 7.849 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 7.849 * [backup-simplify]: Simplify 0 into 0 7.850 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.850 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.850 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 7.851 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.852 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.852 * [backup-simplify]: Simplify (+ 0 0) into 0 7.853 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 7.853 * [taylor]: Taking taylor expansion of 0 in phi2 7.853 * [backup-simplify]: Simplify 0 into 0 7.853 * [backup-simplify]: Simplify 0 into 0 7.853 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 7.853 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2) 7.853 * [backup-simplify]: Simplify (* (sin lambda1) (sin lambda2)) into (* (sin lambda1) (sin lambda2)) 7.853 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 7.853 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 7.853 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 7.853 * [taylor]: Taking taylor expansion of lambda1 in lambda2 7.853 * [backup-simplify]: Simplify lambda1 into lambda1 7.853 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 7.853 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 7.853 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 7.853 * [taylor]: Taking taylor expansion of lambda2 in lambda2 7.853 * [backup-simplify]: Simplify 0 into 0 7.853 * [backup-simplify]: Simplify 1 into 1 7.853 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 7.853 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 7.853 * [taylor]: Taking taylor expansion of lambda1 in lambda1 7.853 * [backup-simplify]: Simplify 0 into 0 7.853 * [backup-simplify]: Simplify 1 into 1 7.854 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 7.854 * [taylor]: Taking taylor expansion of lambda2 in lambda1 7.854 * [backup-simplify]: Simplify lambda2 into lambda2 7.854 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 7.854 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 7.854 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 7.854 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 7.854 * [taylor]: Taking taylor expansion of lambda1 in lambda1 7.854 * [backup-simplify]: Simplify 0 into 0 7.854 * [backup-simplify]: Simplify 1 into 1 7.854 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 7.854 * [taylor]: Taking taylor expansion of lambda2 in lambda1 7.854 * [backup-simplify]: Simplify lambda2 into lambda2 7.854 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 7.854 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 7.854 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 7.854 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 7.854 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 7.854 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0 7.854 * [taylor]: Taking taylor expansion of 0 in lambda2 7.854 * [backup-simplify]: Simplify 0 into 0 7.854 * [backup-simplify]: Simplify 0 into 0 7.855 * [backup-simplify]: Simplify (+ 0) into 0 7.855 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 7.856 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.856 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 7.857 * [backup-simplify]: Simplify (+ 0 0) into 0 7.858 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 7.858 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2) 7.858 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 7.858 * [taylor]: Taking taylor expansion of lambda2 in lambda2 7.858 * [backup-simplify]: Simplify 0 into 0 7.858 * [backup-simplify]: Simplify 1 into 1 7.858 * [backup-simplify]: Simplify 0 into 0 7.858 * [backup-simplify]: Simplify 0 into 0 7.859 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.860 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 7.861 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.861 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 7.861 * [backup-simplify]: Simplify (+ 0 0) into 0 7.862 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.863 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0 7.863 * [taylor]: Taking taylor expansion of 0 in lambda2 7.863 * [backup-simplify]: Simplify 0 into 0 7.863 * [backup-simplify]: Simplify 0 into 0 7.864 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 7.864 * [backup-simplify]: Simplify 1 into 1 7.864 * [backup-simplify]: Simplify 0 into 0 7.865 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.866 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.867 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.868 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.868 * [backup-simplify]: Simplify (+ 0 0) into 0 7.870 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 7.871 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda2))))) into (- (* 1/6 (sin lambda2))) 7.871 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 7.871 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 7.871 * [taylor]: Taking taylor expansion of 1/6 in lambda2 7.871 * [backup-simplify]: Simplify 1/6 into 1/6 7.871 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 7.871 * [taylor]: Taking taylor expansion of lambda2 in lambda2 7.871 * [backup-simplify]: Simplify 0 into 0 7.871 * [backup-simplify]: Simplify 1 into 1 7.872 * [backup-simplify]: Simplify (* 1/6 0) into 0 7.872 * [backup-simplify]: Simplify (- 0) into 0 7.872 * [backup-simplify]: Simplify 0 into 0 7.872 * [backup-simplify]: Simplify 0 into 0 7.873 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.873 * [backup-simplify]: Simplify 0 into 0 7.873 * [backup-simplify]: Simplify 0 into 0 7.874 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 7.875 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.875 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.876 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 7.876 * [backup-simplify]: Simplify (+ 0 0) into 0 7.877 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.878 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda2)))))) into 0 7.878 * [taylor]: Taking taylor expansion of 0 in lambda2 7.878 * [backup-simplify]: Simplify 0 into 0 7.878 * [backup-simplify]: Simplify 0 into 0 7.878 * [backup-simplify]: Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1) 7.878 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 7.878 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in (lambda1 lambda2) around 0 7.878 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 7.878 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 7.878 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 7.878 * [taylor]: Taking taylor expansion of lambda2 in lambda2 7.878 * [backup-simplify]: Simplify 0 into 0 7.878 * [backup-simplify]: Simplify 1 into 1 7.879 * [backup-simplify]: Simplify (/ 1 1) into 1 7.879 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 7.879 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 7.879 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 7.879 * [taylor]: Taking taylor expansion of lambda1 in lambda2 7.879 * [backup-simplify]: Simplify lambda1 into lambda1 7.879 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 7.879 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 7.879 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 7.879 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 7.879 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 7.879 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 7.879 * [taylor]: Taking taylor expansion of lambda2 in lambda1 7.879 * [backup-simplify]: Simplify lambda2 into lambda2 7.879 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 7.879 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 7.879 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 7.879 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 7.879 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 7.879 * [taylor]: Taking taylor expansion of lambda1 in lambda1 7.879 * [backup-simplify]: Simplify 0 into 0 7.879 * [backup-simplify]: Simplify 1 into 1 7.879 * [backup-simplify]: Simplify (/ 1 1) into 1 7.880 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 7.880 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 7.880 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 7.880 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 7.880 * [taylor]: Taking taylor expansion of lambda2 in lambda1 7.880 * [backup-simplify]: Simplify lambda2 into lambda2 7.880 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 7.880 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 7.880 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 7.880 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 7.880 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 7.880 * [taylor]: Taking taylor expansion of lambda1 in lambda1 7.880 * [backup-simplify]: Simplify 0 into 0 7.880 * [backup-simplify]: Simplify 1 into 1 7.880 * [backup-simplify]: Simplify (/ 1 1) into 1 7.880 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 7.880 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 7.880 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 7.880 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 7.880 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 7.880 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 7.880 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 7.880 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 7.880 * [taylor]: Taking taylor expansion of lambda2 in lambda2 7.880 * [backup-simplify]: Simplify 0 into 0 7.881 * [backup-simplify]: Simplify 1 into 1 7.881 * [backup-simplify]: Simplify (/ 1 1) into 1 7.881 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 7.881 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 7.881 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 7.881 * [taylor]: Taking taylor expansion of lambda1 in lambda2 7.881 * [backup-simplify]: Simplify lambda1 into lambda1 7.881 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 7.881 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 7.881 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 7.881 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 7.881 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 7.881 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 7.881 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 7.881 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 7.885 * [backup-simplify]: Simplify (+ 0) into 0 7.886 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 7.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 7.887 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.887 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 7.887 * [backup-simplify]: Simplify (+ 0 0) into 0 7.887 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 7.887 * [taylor]: Taking taylor expansion of 0 in lambda2 7.887 * [backup-simplify]: Simplify 0 into 0 7.887 * [backup-simplify]: Simplify 0 into 0 7.888 * [backup-simplify]: Simplify (+ 0) into 0 7.888 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 7.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 7.888 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.889 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 7.889 * [backup-simplify]: Simplify (+ 0 0) into 0 7.889 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 7.889 * [backup-simplify]: Simplify 0 into 0 7.890 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.890 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 7.890 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 7.891 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.891 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 7.891 * [backup-simplify]: Simplify (+ 0 0) into 0 7.891 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 7.891 * [taylor]: Taking taylor expansion of 0 in lambda2 7.892 * [backup-simplify]: Simplify 0 into 0 7.892 * [backup-simplify]: Simplify 0 into 0 7.892 * [backup-simplify]: Simplify 0 into 0 7.892 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.892 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 7.893 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 7.893 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.893 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 7.894 * [backup-simplify]: Simplify (+ 0 0) into 0 7.894 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 7.894 * [backup-simplify]: Simplify 0 into 0 7.895 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.895 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 7.896 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.896 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.897 * [backup-simplify]: Simplify (+ 0 0) into 0 7.897 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0 7.897 * [taylor]: Taking taylor expansion of 0 in lambda2 7.897 * [backup-simplify]: Simplify 0 into 0 7.897 * [backup-simplify]: Simplify 0 into 0 7.897 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))) into (* (sin lambda2) (sin lambda1)) 7.897 * [backup-simplify]: Simplify (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 7.897 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 7.897 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 7.898 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 7.898 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 7.898 * [taylor]: Taking taylor expansion of -1 in lambda2 7.898 * [backup-simplify]: Simplify -1 into -1 7.898 * [taylor]: Taking taylor expansion of lambda1 in lambda2 7.898 * [backup-simplify]: Simplify lambda1 into lambda1 7.898 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 7.898 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 7.898 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 7.898 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 7.898 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 7.898 * [taylor]: Taking taylor expansion of -1 in lambda2 7.898 * [backup-simplify]: Simplify -1 into -1 7.898 * [taylor]: Taking taylor expansion of lambda2 in lambda2 7.898 * [backup-simplify]: Simplify 0 into 0 7.898 * [backup-simplify]: Simplify 1 into 1 7.898 * [backup-simplify]: Simplify (/ -1 1) into -1 7.898 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 7.898 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 7.898 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 7.898 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 7.898 * [taylor]: Taking taylor expansion of -1 in lambda1 7.898 * [backup-simplify]: Simplify -1 into -1 7.898 * [taylor]: Taking taylor expansion of lambda1 in lambda1 7.898 * [backup-simplify]: Simplify 0 into 0 7.898 * [backup-simplify]: Simplify 1 into 1 7.899 * [backup-simplify]: Simplify (/ -1 1) into -1 7.899 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 7.899 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 7.899 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 7.899 * [taylor]: Taking taylor expansion of -1 in lambda1 7.899 * [backup-simplify]: Simplify -1 into -1 7.899 * [taylor]: Taking taylor expansion of lambda2 in lambda1 7.899 * [backup-simplify]: Simplify lambda2 into lambda2 7.899 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 7.899 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 7.899 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 7.899 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 7.899 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 7.899 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 7.899 * [taylor]: Taking taylor expansion of -1 in lambda1 7.899 * [backup-simplify]: Simplify -1 into -1 7.899 * [taylor]: Taking taylor expansion of lambda1 in lambda1 7.899 * [backup-simplify]: Simplify 0 into 0 7.899 * [backup-simplify]: Simplify 1 into 1 7.899 * [backup-simplify]: Simplify (/ -1 1) into -1 7.899 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 7.899 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 7.899 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 7.899 * [taylor]: Taking taylor expansion of -1 in lambda1 7.899 * [backup-simplify]: Simplify -1 into -1 7.899 * [taylor]: Taking taylor expansion of lambda2 in lambda1 7.899 * [backup-simplify]: Simplify lambda2 into lambda2 7.899 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 7.899 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 7.899 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 7.900 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 7.900 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 7.900 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 7.900 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 7.900 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 7.900 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 7.900 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 7.900 * [taylor]: Taking taylor expansion of -1 in lambda2 7.900 * [backup-simplify]: Simplify -1 into -1 7.900 * [taylor]: Taking taylor expansion of lambda1 in lambda2 7.900 * [backup-simplify]: Simplify lambda1 into lambda1 7.900 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 7.900 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 7.900 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 7.900 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 7.900 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 7.900 * [taylor]: Taking taylor expansion of -1 in lambda2 7.900 * [backup-simplify]: Simplify -1 into -1 7.900 * [taylor]: Taking taylor expansion of lambda2 in lambda2 7.900 * [backup-simplify]: Simplify 0 into 0 7.900 * [backup-simplify]: Simplify 1 into 1 7.900 * [backup-simplify]: Simplify (/ -1 1) into -1 7.900 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 7.900 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 7.901 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 7.901 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 7.901 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 7.901 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 7.901 * [backup-simplify]: Simplify (+ 0) into 0 7.901 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 7.901 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 7.902 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.902 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 7.902 * [backup-simplify]: Simplify (+ 0 0) into 0 7.902 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 7.902 * [taylor]: Taking taylor expansion of 0 in lambda2 7.902 * [backup-simplify]: Simplify 0 into 0 7.903 * [backup-simplify]: Simplify 0 into 0 7.903 * [backup-simplify]: Simplify (+ 0) into 0 7.903 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 7.903 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 7.904 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.904 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 7.904 * [backup-simplify]: Simplify (+ 0 0) into 0 7.904 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 7.904 * [backup-simplify]: Simplify 0 into 0 7.905 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.906 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 7.906 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 7.907 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.907 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 7.908 * [backup-simplify]: Simplify (+ 0 0) into 0 7.908 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 7.908 * [taylor]: Taking taylor expansion of 0 in lambda2 7.908 * [backup-simplify]: Simplify 0 into 0 7.908 * [backup-simplify]: Simplify 0 into 0 7.908 * [backup-simplify]: Simplify 0 into 0 7.909 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.910 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 7.910 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 7.911 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.911 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 7.912 * [backup-simplify]: Simplify (+ 0 0) into 0 7.912 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 7.912 * [backup-simplify]: Simplify 0 into 0 7.913 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.914 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.914 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 7.916 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.917 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.917 * [backup-simplify]: Simplify (+ 0 0) into 0 7.918 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 7.918 * [taylor]: Taking taylor expansion of 0 in lambda2 7.918 * [backup-simplify]: Simplify 0 into 0 7.918 * [backup-simplify]: Simplify 0 into 0 7.918 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2)) 7.918 * * * [progress]: simplifying candidates 7.918 * * * * [progress]: [ 1 / 80 ] simplifiying candidate # 7.919 * [simplify]: Simplifying (/ PI 2) 7.919 * * [simplify]: iters left: 2 (3 enodes) 7.920 * * [simplify]: iters left: 1 (9 enodes) 7.923 * * [simplify]: Extracting #0: cost 1 inf + 0 7.923 * * [simplify]: Extracting #1: cost 4 inf + 0 7.923 * * [simplify]: Extracting #2: cost 2 inf + 2 7.924 * * [simplify]: Extracting #3: cost 0 inf + 86 7.924 * [simplify]: Simplified to (/ PI 2) 7.924 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) 7.924 * [simplify]: Simplifying (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 7.924 * * [simplify]: iters left: 6 (20 enodes) 7.933 * * [simplify]: iters left: 5 (75 enodes) 7.958 * * [simplify]: iters left: 4 (137 enodes) 7.984 * * [simplify]: iters left: 3 (246 enodes) 8.033 * * [simplify]: iters left: 2 (324 enodes) 8.097 * * [simplify]: Extracting #0: cost 1 inf + 0 8.097 * * [simplify]: Extracting #1: cost 3 inf + 0 8.098 * * [simplify]: Extracting #2: cost 10 inf + 0 8.098 * * [simplify]: Extracting #3: cost 46 inf + 0 8.098 * * [simplify]: Extracting #4: cost 80 inf + 0 8.099 * * [simplify]: Extracting #5: cost 68 inf + 593 8.100 * * [simplify]: Extracting #6: cost 50 inf + 2701 8.104 * * [simplify]: Extracting #7: cost 17 inf + 11351 8.110 * * [simplify]: Extracting #8: cost 2 inf + 18260 8.117 * * [simplify]: Extracting #9: cost 0 inf + 19918 8.125 * * [simplify]: Extracting #10: cost 0 inf + 19758 8.132 * [simplify]: Simplified to (asin (+ (* (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (cos phi1)) (* (sin phi2) (sin phi1)))) 8.132 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (cos phi1)) (* (sin phi2) (sin phi1))))) R)) 8.133 * * * * [progress]: [ 2 / 80 ] simplifiying candidate # 8.133 * * * * [progress]: [ 3 / 80 ] simplifiying candidate # 8.133 * [simplify]: Simplifying (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 8.133 * * [simplify]: iters left: 6 (21 enodes) 8.143 * * [simplify]: iters left: 5 (78 enodes) 8.167 * * [simplify]: iters left: 4 (140 enodes) 8.208 * * [simplify]: iters left: 3 (250 enodes) 8.249 * * [simplify]: iters left: 2 (335 enodes) 8.296 * * [simplify]: Extracting #0: cost 1 inf + 0 8.296 * * [simplify]: Extracting #1: cost 3 inf + 0 8.296 * * [simplify]: Extracting #2: cost 5 inf + 0 8.296 * * [simplify]: Extracting #3: cost 12 inf + 0 8.297 * * [simplify]: Extracting #4: cost 48 inf + 0 8.297 * * [simplify]: Extracting #5: cost 82 inf + 0 8.297 * * [simplify]: Extracting #6: cost 63 inf + 1323 8.298 * * [simplify]: Extracting #7: cost 35 inf + 7688 8.301 * * [simplify]: Extracting #8: cost 7 inf + 17252 8.305 * * [simplify]: Extracting #9: cost 1 inf + 20772 8.309 * * [simplify]: Extracting #10: cost 0 inf + 21616 8.312 * * [simplify]: Extracting #11: cost 0 inf + 21576 8.316 * [simplify]: Simplified to (log (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) 8.316 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) R)) 8.316 * * * * [progress]: [ 4 / 80 ] simplifiying candidate # 8.317 * [simplify]: Simplifying (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 8.317 * * [simplify]: iters left: 6 (21 enodes) 8.321 * * [simplify]: iters left: 5 (78 enodes) 8.335 * * [simplify]: iters left: 4 (140 enodes) 8.365 * * [simplify]: iters left: 3 (250 enodes) 8.418 * * [simplify]: iters left: 2 (335 enodes) 8.508 * * [simplify]: Extracting #0: cost 1 inf + 0 8.508 * * [simplify]: Extracting #1: cost 3 inf + 0 8.508 * * [simplify]: Extracting #2: cost 5 inf + 0 8.508 * * [simplify]: Extracting #3: cost 12 inf + 0 8.508 * * [simplify]: Extracting #4: cost 48 inf + 0 8.509 * * [simplify]: Extracting #5: cost 82 inf + 0 8.509 * * [simplify]: Extracting #6: cost 63 inf + 1323 8.511 * * [simplify]: Extracting #7: cost 35 inf + 7688 8.517 * * [simplify]: Extracting #8: cost 7 inf + 17252 8.526 * * [simplify]: Extracting #9: cost 1 inf + 20772 8.533 * * [simplify]: Extracting #10: cost 0 inf + 21616 8.540 * * [simplify]: Extracting #11: cost 0 inf + 21576 8.547 * [simplify]: Simplified to (exp (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) 8.547 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) R)) 8.547 * * * * [progress]: [ 5 / 80 ] simplifiying candidate # 8.548 * [simplify]: Simplifying (* (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)))))))) 8.548 * * [simplify]: iters left: 6 (22 enodes) 8.558 * * [simplify]: iters left: 5 (81 enodes) 8.584 * * [simplify]: iters left: 4 (143 enodes) 8.635 * * [simplify]: iters left: 3 (253 enodes) 8.694 * * [simplify]: iters left: 2 (331 enodes) 8.747 * * [simplify]: Extracting #0: cost 1 inf + 0 8.748 * * [simplify]: Extracting #1: cost 3 inf + 0 8.748 * * [simplify]: Extracting #2: cost 5 inf + 0 8.748 * * [simplify]: Extracting #3: cost 7 inf + 0 8.748 * * [simplify]: Extracting #4: cost 14 inf + 0 8.748 * * [simplify]: Extracting #5: cost 50 inf + 0 8.748 * * [simplify]: Extracting #6: cost 84 inf + 0 8.748 * * [simplify]: Extracting #7: cost 72 inf + 492 8.749 * * [simplify]: Extracting #8: cost 48 inf + 4075 8.751 * * [simplify]: Extracting #9: cost 16 inf + 13085 8.755 * * [simplify]: Extracting #10: cost 6 inf + 18020 8.759 * * [simplify]: Extracting #11: cost 2 inf + 21596 8.762 * * [simplify]: Extracting #12: cost 1 inf + 22570 8.766 * * [simplify]: Extracting #13: cost 0 inf + 23544 8.770 * [simplify]: Simplified to (* (cbrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) 8.770 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (cbrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) 8.771 * [simplify]: Simplifying (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 8.771 * * [simplify]: iters left: 6 (21 enodes) 8.775 * * [simplify]: iters left: 5 (78 enodes) 8.796 * * [simplify]: iters left: 4 (140 enodes) 8.822 * * [simplify]: iters left: 3 (250 enodes) 8.878 * * [simplify]: iters left: 2 (335 enodes) 8.941 * * [simplify]: Extracting #0: cost 1 inf + 0 8.941 * * [simplify]: Extracting #1: cost 3 inf + 0 8.941 * * [simplify]: Extracting #2: cost 5 inf + 0 8.941 * * [simplify]: Extracting #3: cost 12 inf + 0 8.941 * * [simplify]: Extracting #4: cost 48 inf + 0 8.941 * * [simplify]: Extracting #5: cost 82 inf + 0 8.941 * * [simplify]: Extracting #6: cost 63 inf + 1323 8.943 * * [simplify]: Extracting #7: cost 35 inf + 7688 8.947 * * [simplify]: Extracting #8: cost 7 inf + 17252 8.954 * * [simplify]: Extracting #9: cost 1 inf + 20782 8.961 * * [simplify]: Extracting #10: cost 0 inf + 21636 8.969 * * [simplify]: Extracting #11: cost 0 inf + 21596 8.976 * [simplify]: Simplified to (cbrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) 8.976 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (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 (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) R)) 8.976 * * * * [progress]: [ 6 / 80 ] simplifiying candidate # 8.977 * [simplify]: Simplifying (* (* (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))))))) 8.977 * * [simplify]: iters left: 6 (22 enodes) 8.981 * * [simplify]: iters left: 5 (82 enodes) 8.995 * * [simplify]: iters left: 4 (146 enodes) 9.040 * * [simplify]: iters left: 3 (263 enodes) 9.129 * * [simplify]: iters left: 2 (359 enodes) 9.195 * * [simplify]: iters left: 1 (385 enodes) 9.242 * * [simplify]: Extracting #0: cost 1 inf + 0 9.242 * * [simplify]: Extracting #1: cost 9 inf + 0 9.242 * * [simplify]: Extracting #2: cost 18 inf + 1 9.242 * * [simplify]: Extracting #3: cost 26 inf + 3 9.242 * * [simplify]: Extracting #4: cost 62 inf + 4 9.243 * * [simplify]: Extracting #5: cost 95 inf + 5 9.244 * * [simplify]: Extracting #6: cost 77 inf + 1267 9.246 * * [simplify]: Extracting #7: cost 43 inf + 9183 9.253 * * [simplify]: Extracting #8: cost 11 inf + 23862 9.264 * * [simplify]: Extracting #9: cost 0 inf + 36108 9.275 * [simplify]: Simplified to (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) 9.275 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))))) R)) 9.276 * * * * [progress]: [ 7 / 80 ] simplifiying candidate # 9.276 * [simplify]: Simplifying (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 9.276 * * [simplify]: iters left: 6 (21 enodes) 9.285 * * [simplify]: iters left: 5 (78 enodes) 9.314 * * [simplify]: iters left: 4 (140 enodes) 9.365 * * [simplify]: iters left: 3 (250 enodes) 9.451 * * [simplify]: iters left: 2 (335 enodes) 9.507 * * [simplify]: Extracting #0: cost 1 inf + 0 9.507 * * [simplify]: Extracting #1: cost 3 inf + 0 9.507 * * [simplify]: Extracting #2: cost 5 inf + 0 9.507 * * [simplify]: Extracting #3: cost 12 inf + 0 9.508 * * [simplify]: Extracting #4: cost 48 inf + 0 9.508 * * [simplify]: Extracting #5: cost 82 inf + 0 9.508 * * [simplify]: Extracting #6: cost 63 inf + 1323 9.509 * * [simplify]: Extracting #7: cost 35 inf + 7688 9.512 * * [simplify]: Extracting #8: cost 7 inf + 17252 9.517 * * [simplify]: Extracting #9: cost 1 inf + 20742 9.521 * * [simplify]: Extracting #10: cost 0 inf + 21556 9.525 * * [simplify]: Extracting #11: cost 0 inf + 21516 9.529 * [simplify]: Simplified to (sqrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) 9.529 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) 9.529 * [simplify]: Simplifying (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 9.529 * * [simplify]: iters left: 6 (21 enodes) 9.534 * * [simplify]: iters left: 5 (78 enodes) 9.560 * * [simplify]: iters left: 4 (140 enodes) 9.585 * * [simplify]: iters left: 3 (250 enodes) 9.648 * * [simplify]: iters left: 2 (335 enodes) 9.731 * * [simplify]: Extracting #0: cost 1 inf + 0 9.731 * * [simplify]: Extracting #1: cost 3 inf + 0 9.731 * * [simplify]: Extracting #2: cost 5 inf + 0 9.732 * * [simplify]: Extracting #3: cost 12 inf + 0 9.732 * * [simplify]: Extracting #4: cost 48 inf + 0 9.732 * * [simplify]: Extracting #5: cost 82 inf + 0 9.732 * * [simplify]: Extracting #6: cost 63 inf + 1323 9.734 * * [simplify]: Extracting #7: cost 35 inf + 7688 9.736 * * [simplify]: Extracting #8: cost 7 inf + 17252 9.740 * * [simplify]: Extracting #9: cost 1 inf + 20742 9.744 * * [simplify]: Extracting #10: cost 0 inf + 21556 9.748 * * [simplify]: Extracting #11: cost 0 inf + 21516 9.751 * [simplify]: Simplified to (sqrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) 9.752 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) R)) 9.752 * * * * [progress]: [ 8 / 80 ] simplifiying candidate # 9.752 * * * * [progress]: [ 9 / 80 ] simplifiying candidate #real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> 9.752 * [simplify]: Simplifying (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 9.752 * * [simplify]: iters left: 6 (21 enodes) 9.757 * * [simplify]: iters left: 5 (75 enodes) 9.776 * * [simplify]: iters left: 4 (137 enodes) 9.822 * * [simplify]: iters left: 3 (248 enodes) 9.876 * * [simplify]: iters left: 2 (329 enodes) 9.936 * * [simplify]: Extracting #0: cost 1 inf + 0 9.936 * * [simplify]: Extracting #1: cost 2 inf + 0 9.936 * * [simplify]: Extracting #2: cost 3 inf + 0 9.936 * * [simplify]: Extracting #3: cost 10 inf + 0 9.936 * * [simplify]: Extracting #4: cost 46 inf + 0 9.937 * * [simplify]: Extracting #5: cost 80 inf + 0 9.937 * * [simplify]: Extracting #6: cost 69 inf + 431 9.939 * * [simplify]: Extracting #7: cost 48 inf + 3530 9.943 * * [simplify]: Extracting #8: cost 13 inf + 12704 9.949 * * [simplify]: Extracting #9: cost 2 inf + 18260 9.956 * * [simplify]: Extracting #10: cost 0 inf + 19888 9.960 * * [simplify]: Extracting #11: cost 0 inf + 19728 9.963 * [simplify]: Simplified to (real->posit16 (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi2) (sin phi1))))) 9.964 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (posit16->real (real->posit16 (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi2) (sin phi1)))))) R)) 9.964 * * * * [progress]: [ 10 / 80 ] simplifiying candidate # 9.964 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 9.964 * * [simplify]: iters left: 6 (22 enodes) 9.969 * * [simplify]: iters left: 5 (82 enodes) 9.982 * * [simplify]: iters left: 4 (144 enodes) 10.032 * * [simplify]: iters left: 3 (254 enodes) 10.087 * * [simplify]: iters left: 2 (332 enodes) 10.135 * * [simplify]: Extracting #0: cost 1 inf + 0 10.135 * * [simplify]: Extracting #1: cost 4 inf + 0 10.135 * * [simplify]: Extracting #2: cost 5 inf + 1 10.135 * * [simplify]: Extracting #3: cost 12 inf + 1 10.135 * * [simplify]: Extracting #4: cost 48 inf + 1 10.136 * * [simplify]: Extracting #5: cost 82 inf + 1 10.136 * * [simplify]: Extracting #6: cost 70 inf + 594 10.136 * * [simplify]: Extracting #7: cost 52 inf + 3005 10.139 * * [simplify]: Extracting #8: cost 14 inf + 13145 10.142 * * [simplify]: Extracting #9: cost 4 inf + 18181 10.146 * * [simplify]: Extracting #10: cost 1 inf + 20744 10.149 * * [simplify]: Extracting #11: cost 0 inf + 21559 10.155 * * [simplify]: Extracting #12: cost 0 inf + 21519 10.158 * [simplify]: Simplified to (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) R) 10.158 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) R) 1)) 10.159 * * * * [progress]: [ 11 / 80 ] simplifiying candidate # 10.159 * * * * [progress]: [ 12 / 80 ] simplifiying candidate # 10.159 * [simplify]: Simplifying (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log R)) 10.159 * * [simplify]: iters left: 6 (24 enodes) 10.164 * * [simplify]: iters left: 5 (88 enodes) 10.182 * * [simplify]: iters left: 4 (150 enodes) 10.218 * * [simplify]: iters left: 3 (260 enodes) 10.285 * * [simplify]: iters left: 2 (345 enodes) 10.381 * * [simplify]: Extracting #0: cost 1 inf + 0 10.381 * * [simplify]: Extracting #1: cost 4 inf + 0 10.381 * * [simplify]: Extracting #2: cost 8 inf + 0 10.381 * * [simplify]: Extracting #3: cost 7 inf + 143 10.382 * * [simplify]: Extracting #4: cost 14 inf + 143 10.382 * * [simplify]: Extracting #5: cost 50 inf + 143 10.382 * * [simplify]: Extracting #6: cost 84 inf + 143 10.383 * * [simplify]: Extracting #7: cost 71 inf + 999 10.386 * * [simplify]: Extracting #8: cost 31 inf + 9809 10.392 * * [simplify]: Extracting #9: cost 9 inf + 17595 10.400 * * [simplify]: Extracting #10: cost 2 inf + 21990 10.408 * * [simplify]: Extracting #11: cost 0 inf + 23869 10.416 * * [simplify]: Extracting #12: cost 0 inf + 23789 10.424 * [simplify]: Simplified to (+ (log (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (log R)) 10.424 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (log R)))) 10.425 * * * * [progress]: [ 13 / 80 ] simplifiying candidate # 10.425 * [simplify]: Simplifying (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 10.425 * * [simplify]: iters left: 6 (23 enodes) 10.435 * * [simplify]: iters left: 5 (88 enodes) 10.463 * * [simplify]: iters left: 4 (155 enodes) 10.505 * * [simplify]: iters left: 3 (263 enodes) 10.566 * * [simplify]: iters left: 2 (347 enodes) 10.625 * * [simplify]: Extracting #0: cost 1 inf + 0 10.625 * * [simplify]: Extracting #1: cost 5 inf + 0 10.625 * * [simplify]: Extracting #2: cost 10 inf + 0 10.625 * * [simplify]: Extracting #3: cost 9 inf + 143 10.625 * * [simplify]: Extracting #4: cost 16 inf + 143 10.625 * * [simplify]: Extracting #5: cost 52 inf + 143 10.625 * * [simplify]: Extracting #6: cost 86 inf + 143 10.626 * * [simplify]: Extracting #7: cost 72 inf + 757 10.626 * * [simplify]: Extracting #8: cost 50 inf + 4018 10.629 * * [simplify]: Extracting #9: cost 11 inf + 16452 10.632 * * [simplify]: Extracting #10: cost 8 inf + 18163 10.636 * * [simplify]: Extracting #11: cost 2 inf + 23550 10.641 * * [simplify]: Extracting #12: cost 0 inf + 25439 10.645 * [simplify]: Simplified to (log (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) R)) 10.645 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) R)))) 10.646 * * * * [progress]: [ 14 / 80 ] simplifiying candidate # 10.646 * [simplify]: Simplifying (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 10.646 * * [simplify]: iters left: 6 (23 enodes) 10.652 * * [simplify]: iters left: 5 (87 enodes) 10.669 * * [simplify]: iters left: 4 (157 enodes) 10.704 * * [simplify]: iters left: 3 (279 enodes) 10.781 * * [simplify]: iters left: 2 (384 enodes) 10.853 * * [simplify]: iters left: 1 (449 enodes) 10.933 * * [simplify]: Extracting #0: cost 1 inf + 0 10.933 * * [simplify]: Extracting #1: cost 21 inf + 0 10.933 * * [simplify]: Extracting #2: cost 71 inf + 2 10.934 * * [simplify]: Extracting #3: cost 82 inf + 647 10.935 * * [simplify]: Extracting #4: cost 103 inf + 1925 10.937 * * [simplify]: Extracting #5: cost 135 inf + 2049 10.939 * * [simplify]: Extracting #6: cost 115 inf + 3454 10.942 * * [simplify]: Extracting #7: cost 97 inf + 6673 10.948 * * [simplify]: Extracting #8: cost 66 inf + 16563 10.957 * * [simplify]: Extracting #9: cost 50 inf + 27704 10.966 * * [simplify]: Extracting #10: cost 21 inf + 64051 10.981 * * [simplify]: Extracting #11: cost 0 inf + 93837 11.002 * * [simplify]: Extracting #12: cost 0 inf + 90504 11.030 * * [simplify]: Extracting #13: cost 0 inf + 90242 11.058 * [simplify]: Simplified to (exp (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) R)) 11.058 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (log (exp (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) R)))) 11.058 * * * * [progress]: [ 15 / 80 ] simplifiying candidate # 11.058 * [simplify]: Simplifying (* (* (* (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)) 11.059 * * [simplify]: iters left: 6 (26 enodes) 11.070 * * [simplify]: iters left: 5 (100 enodes) 11.090 * * [simplify]: iters left: 4 (191 enodes) 11.129 * * [simplify]: iters left: 3 (353 enodes) 11.210 * * [simplify]: Extracting #0: cost 1 inf + 0 11.210 * * [simplify]: Extracting #1: cost 25 inf + 0 11.211 * * [simplify]: Extracting #2: cost 49 inf + 214 11.211 * * [simplify]: Extracting #3: cost 54 inf + 337 11.211 * * [simplify]: Extracting #4: cost 97 inf + 884 11.212 * * [simplify]: Extracting #5: cost 131 inf + 884 11.212 * * [simplify]: Extracting #6: cost 113 inf + 2045 11.214 * * [simplify]: Extracting #7: cost 76 inf + 9651 11.217 * * [simplify]: Extracting #8: cost 45 inf + 23006 11.225 * * [simplify]: Extracting #9: cost 29 inf + 36999 11.240 * * [simplify]: Extracting #10: cost 5 inf + 61728 11.266 * * [simplify]: Extracting #11: cost 0 inf + 67033 11.292 * [simplify]: Simplified to (* (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) R) (* (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) R) (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) R))) 11.292 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) R) (* (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) R) (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) R))))) 11.292 * * * * [progress]: [ 16 / 80 ] simplifiying candidate # 11.293 * [simplify]: Simplifying (* (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))) 11.293 * * [simplify]: iters left: 6 (24 enodes) 11.302 * * [simplify]: iters left: 5 (88 enodes) 11.316 * * [simplify]: iters left: 4 (150 enodes) 11.364 * * [simplify]: iters left: 3 (260 enodes) 11.450 * * [simplify]: iters left: 2 (345 enodes) 11.527 * * [simplify]: Extracting #0: cost 1 inf + 0 11.527 * * [simplify]: Extracting #1: cost 3 inf + 0 11.527 * * [simplify]: Extracting #2: cost 5 inf + 0 11.527 * * [simplify]: Extracting #3: cost 8 inf + 0 11.527 * * [simplify]: Extracting #4: cost 9 inf + 1 11.527 * * [simplify]: Extracting #5: cost 16 inf + 1 11.527 * * [simplify]: Extracting #6: cost 52 inf + 1 11.528 * * [simplify]: Extracting #7: cost 86 inf + 1 11.529 * * [simplify]: Extracting #8: cost 73 inf + 857 11.532 * * [simplify]: Extracting #9: cost 34 inf + 9103 11.538 * * [simplify]: Extracting #10: cost 11 inf + 17453 11.545 * * [simplify]: Extracting #11: cost 3 inf + 22694 11.551 * * [simplify]: Extracting #12: cost 1 inf + 24564 11.555 * * [simplify]: Extracting #13: cost 0 inf + 25539 11.559 * * [simplify]: Extracting #14: cost 0 inf + 25499 11.564 * [simplify]: Simplified to (* (cbrt (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) R)) (cbrt (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) R))) 11.564 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) R)) (cbrt (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)))) 11.564 * [simplify]: Simplifying (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 11.564 * * [simplify]: iters left: 6 (23 enodes) 11.569 * * [simplify]: iters left: 5 (85 enodes) 11.590 * * [simplify]: iters left: 4 (147 enodes) 11.641 * * [simplify]: iters left: 3 (256 enodes) 11.728 * * [simplify]: iters left: 2 (340 enodes) 11.821 * * [simplify]: Extracting #0: cost 1 inf + 0 11.821 * * [simplify]: Extracting #1: cost 3 inf + 0 11.821 * * [simplify]: Extracting #2: cost 6 inf + 0 11.821 * * [simplify]: Extracting #3: cost 7 inf + 1 11.821 * * [simplify]: Extracting #4: cost 14 inf + 1 11.822 * * [simplify]: Extracting #5: cost 50 inf + 1 11.823 * * [simplify]: Extracting #6: cost 84 inf + 1 11.824 * * [simplify]: Extracting #7: cost 72 inf + 594 11.826 * * [simplify]: Extracting #8: cost 40 inf + 5877 11.831 * * [simplify]: Extracting #9: cost 12 inf + 14738 11.837 * * [simplify]: Extracting #10: cost 6 inf + 18021 11.841 * * [simplify]: Extracting #11: cost 1 inf + 22494 11.845 * * [simplify]: Extracting #12: cost 0 inf + 23469 11.849 * [simplify]: Simplified to (cbrt (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) R)) 11.849 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (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 (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) R)))) 11.849 * * * * [progress]: [ 17 / 80 ] simplifiying candidate # 11.849 * [simplify]: Simplifying (* (* (* (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)) 11.850 * * [simplify]: iters left: 6 (24 enodes) 11.855 * * [simplify]: iters left: 5 (98 enodes) 11.872 * * [simplify]: iters left: 4 (200 enodes) 11.918 * * [simplify]: iters left: 3 (361 enodes) 12.007 * * [simplify]: iters left: 2 (476 enodes) 12.124 * * [simplify]: Extracting #0: cost 1 inf + 0 12.124 * * [simplify]: Extracting #1: cost 29 inf + 0 12.124 * * [simplify]: Extracting #2: cost 57 inf + 2 12.124 * * [simplify]: Extracting #3: cost 59 inf + 681 12.126 * * [simplify]: Extracting #4: cost 91 inf + 885 12.126 * * [simplify]: Extracting #5: cost 125 inf + 885 12.127 * * [simplify]: Extracting #6: cost 107 inf + 2248 12.128 * * [simplify]: Extracting #7: cost 73 inf + 8863 12.131 * * [simplify]: Extracting #8: cost 48 inf + 18743 12.137 * * [simplify]: Extracting #9: cost 31 inf + 35408 12.150 * * [simplify]: Extracting #10: cost 1 inf + 67383 12.177 * * [simplify]: Extracting #11: cost 0 inf + 68096 12.207 * [simplify]: Simplified to (* (* (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi2) (sin phi1)))) R) (* (* (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi2) (sin phi1)))) R) (* (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi2) (sin phi1)))) R))) 12.207 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi2) (sin phi1)))) R) (* (* (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi2) (sin phi1)))) R) (* (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi2) (sin phi1)))) R))))) 12.207 * * * * [progress]: [ 18 / 80 ] simplifiying candidate # 12.208 * [simplify]: Simplifying (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 12.208 * * [simplify]: iters left: 6 (23 enodes) 12.218 * * [simplify]: iters left: 5 (85 enodes) 12.245 * * [simplify]: iters left: 4 (147 enodes) 12.272 * * [simplify]: iters left: 3 (256 enodes) 12.316 * * [simplify]: iters left: 2 (340 enodes) 12.381 * * [simplify]: Extracting #0: cost 1 inf + 0 12.381 * * [simplify]: Extracting #1: cost 3 inf + 0 12.381 * * [simplify]: Extracting #2: cost 6 inf + 0 12.381 * * [simplify]: Extracting #3: cost 7 inf + 1 12.381 * * [simplify]: Extracting #4: cost 14 inf + 1 12.382 * * [simplify]: Extracting #5: cost 50 inf + 1 12.382 * * [simplify]: Extracting #6: cost 84 inf + 1 12.383 * * [simplify]: Extracting #7: cost 72 inf + 594 12.385 * * [simplify]: Extracting #8: cost 40 inf + 5877 12.390 * * [simplify]: Extracting #9: cost 12 inf + 14738 12.396 * * [simplify]: Extracting #10: cost 6 inf + 18021 12.404 * * [simplify]: Extracting #11: cost 1 inf + 22454 12.411 * * [simplify]: Extracting #12: cost 0 inf + 23389 12.419 * [simplify]: Simplified to (sqrt (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) R)) 12.419 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)))) 12.420 * [simplify]: Simplifying (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 12.420 * * [simplify]: iters left: 6 (23 enodes) 12.430 * * [simplify]: iters left: 5 (85 enodes) 12.457 * * [simplify]: iters left: 4 (147 enodes) 12.510 * * [simplify]: iters left: 3 (256 enodes) 12.590 * * [simplify]: iters left: 2 (340 enodes) 12.637 * * [simplify]: Extracting #0: cost 1 inf + 0 12.637 * * [simplify]: Extracting #1: cost 3 inf + 0 12.638 * * [simplify]: Extracting #2: cost 6 inf + 0 12.638 * * [simplify]: Extracting #3: cost 7 inf + 1 12.638 * * [simplify]: Extracting #4: cost 14 inf + 1 12.638 * * [simplify]: Extracting #5: cost 50 inf + 1 12.638 * * [simplify]: Extracting #6: cost 84 inf + 1 12.638 * * [simplify]: Extracting #7: cost 72 inf + 594 12.639 * * [simplify]: Extracting #8: cost 40 inf + 5877 12.642 * * [simplify]: Extracting #9: cost 12 inf + 14738 12.646 * * [simplify]: Extracting #10: cost 6 inf + 18021 12.649 * * [simplify]: Extracting #11: cost 1 inf + 22454 12.653 * * [simplify]: Extracting #12: cost 0 inf + 23389 12.658 * [simplify]: Simplified to (sqrt (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) R)) 12.658 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) R)))) 12.658 * * * * [progress]: [ 19 / 80 ] simplifiying candidate # 12.658 * * * * [progress]: [ 20 / 80 ] simplifiying candidate # 12.658 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) 12.658 * * [simplify]: iters left: 6 (24 enodes) 12.663 * * [simplify]: iters left: 5 (88 enodes) 12.692 * * [simplify]: iters left: 4 (150 enodes) 12.718 * * [simplify]: iters left: 3 (260 enodes) 12.801 * * [simplify]: iters left: 2 (345 enodes) 12.870 * * [simplify]: Extracting #0: cost 1 inf + 0 12.870 * * [simplify]: Extracting #1: cost 4 inf + 0 12.870 * * [simplify]: Extracting #2: cost 8 inf + 0 12.870 * * [simplify]: Extracting #3: cost 7 inf + 83 12.870 * * [simplify]: Extracting #4: cost 14 inf + 83 12.871 * * [simplify]: Extracting #5: cost 50 inf + 83 12.871 * * [simplify]: Extracting #6: cost 84 inf + 83 12.871 * * [simplify]: Extracting #7: cost 71 inf + 939 12.873 * * [simplify]: Extracting #8: cost 31 inf + 9749 12.877 * * [simplify]: Extracting #9: cost 9 inf + 17535 12.881 * * [simplify]: Extracting #10: cost 2 inf + 21840 12.886 * * [simplify]: Extracting #11: cost 0 inf + 23629 12.891 * * [simplify]: Extracting #12: cost 0 inf + 23549 12.899 * [simplify]: Simplified to (* (sqrt R) (sqrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) 12.900 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt R) (sqrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)))) 12.900 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) 12.900 * * [simplify]: iters left: 6 (24 enodes) 12.910 * * [simplify]: iters left: 5 (88 enodes) 12.927 * * [simplify]: iters left: 4 (150 enodes) 12.957 * * [simplify]: iters left: 3 (260 enodes) 13.017 * * [simplify]: iters left: 2 (345 enodes) 13.085 * * [simplify]: Extracting #0: cost 1 inf + 0 13.085 * * [simplify]: Extracting #1: cost 4 inf + 0 13.085 * * [simplify]: Extracting #2: cost 8 inf + 0 13.085 * * [simplify]: Extracting #3: cost 7 inf + 83 13.085 * * [simplify]: Extracting #4: cost 14 inf + 83 13.085 * * [simplify]: Extracting #5: cost 50 inf + 83 13.086 * * [simplify]: Extracting #6: cost 84 inf + 83 13.087 * * [simplify]: Extracting #7: cost 71 inf + 939 13.089 * * [simplify]: Extracting #8: cost 31 inf + 9749 13.095 * * [simplify]: Extracting #9: cost 9 inf + 17535 13.103 * * [simplify]: Extracting #10: cost 2 inf + 21840 13.111 * * [simplify]: Extracting #11: cost 0 inf + 23629 13.119 * * [simplify]: Extracting #12: cost 0 inf + 23549 13.127 * [simplify]: Simplified to (* (sqrt R) (sqrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) 13.127 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt R) (sqrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))))) 13.128 * * * * [progress]: [ 21 / 80 ] simplifiying candidate # 13.128 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) 13.128 * * [simplify]: iters left: 6 (24 enodes) 13.139 * * [simplify]: iters left: 5 (90 enodes) 13.154 * * [simplify]: iters left: 4 (156 enodes) 13.204 * * [simplify]: iters left: 3 (267 enodes) 13.295 * * [simplify]: iters left: 2 (352 enodes) 13.353 * * [simplify]: Extracting #0: cost 1 inf + 0 13.353 * * [simplify]: Extracting #1: cost 6 inf + 0 13.353 * * [simplify]: Extracting #2: cost 12 inf + 0 13.353 * * [simplify]: Extracting #3: cost 18 inf + 1 13.353 * * [simplify]: Extracting #4: cost 51 inf + 324 13.354 * * [simplify]: Extracting #5: cost 84 inf + 405 13.355 * * [simplify]: Extracting #6: cost 69 inf + 1383 13.356 * * [simplify]: Extracting #7: cost 52 inf + 3935 13.360 * * [simplify]: Extracting #8: cost 20 inf + 12259 13.367 * * [simplify]: Extracting #9: cost 6 inf + 18705 13.377 * * [simplify]: Extracting #10: cost 2 inf + 22443 13.381 * * [simplify]: Extracting #11: cost 0 inf + 24273 13.385 * * [simplify]: Extracting #12: cost 0 inf + 24113 13.390 * [simplify]: Simplified to (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) (* (cbrt R) (cbrt R))) 13.390 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) (* (cbrt R) (cbrt R))) (cbrt R))) 13.390 * * * * [progress]: [ 22 / 80 ] simplifiying candidate # 13.390 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) 13.390 * * [simplify]: iters left: 6 (23 enodes) 13.395 * * [simplify]: iters left: 5 (85 enodes) 13.408 * * [simplify]: iters left: 4 (147 enodes) 13.456 * * [simplify]: iters left: 3 (256 enodes) 13.515 * * [simplify]: iters left: 2 (340 enodes) 13.592 * * [simplify]: Extracting #0: cost 1 inf + 0 13.592 * * [simplify]: Extracting #1: cost 4 inf + 0 13.592 * * [simplify]: Extracting #2: cost 8 inf + 0 13.592 * * [simplify]: Extracting #3: cost 12 inf + 83 13.592 * * [simplify]: Extracting #4: cost 48 inf + 83 13.593 * * [simplify]: Extracting #5: cost 82 inf + 83 13.593 * * [simplify]: Extracting #6: cost 70 inf + 676 13.594 * * [simplify]: Extracting #7: cost 38 inf + 5959 13.597 * * [simplify]: Extracting #8: cost 10 inf + 14820 13.600 * * [simplify]: Extracting #9: cost 4 inf + 18103 13.604 * * [simplify]: Extracting #10: cost 1 inf + 20746 13.607 * * [simplify]: Extracting #11: cost 0 inf + 21681 13.611 * [simplify]: Simplified to (* (sqrt R) (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) 13.611 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt R) (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (sqrt R))) 13.611 * * * * [progress]: [ 23 / 80 ] simplifiying candidate # 13.612 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1) 13.612 * * [simplify]: iters left: 6 (22 enodes) 13.617 * * [simplify]: iters left: 5 (82 enodes) 13.631 * * [simplify]: iters left: 4 (148 enodes) 13.660 * * [simplify]: iters left: 3 (258 enodes) 13.735 * * [simplify]: iters left: 2 (343 enodes) 13.802 * * [simplify]: Extracting #0: cost 1 inf + 0 13.802 * * [simplify]: Extracting #1: cost 4 inf + 0 13.802 * * [simplify]: Extracting #2: cost 10 inf + 1 13.802 * * [simplify]: Extracting #3: cost 46 inf + 1 13.802 * * [simplify]: Extracting #4: cost 80 inf + 1 13.803 * * [simplify]: Extracting #5: cost 69 inf + 432 13.803 * * [simplify]: Extracting #6: cost 48 inf + 3329 13.806 * * [simplify]: Extracting #7: cost 14 inf + 12781 13.813 * * [simplify]: Extracting #8: cost 1 inf + 19035 13.820 * * [simplify]: Extracting #9: cost 0 inf + 19769 13.827 * * [simplify]: Extracting #10: cost 0 inf + 19729 13.834 * [simplify]: Simplified to (acos (+ (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)) (* (sin phi2) (sin phi1)))) 13.835 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)) (* (sin phi2) (sin phi1)))) R)) 13.835 * * * * [progress]: [ 24 / 80 ] simplifiying candidate # 13.835 * [simplify]: Simplifying (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) 13.835 * * [simplify]: iters left: 6 (23 enodes) 13.845 * * [simplify]: iters left: 5 (85 enodes) 13.865 * * [simplify]: iters left: 4 (147 enodes) 13.896 * * [simplify]: iters left: 3 (256 enodes) 13.981 * * [simplify]: iters left: 2 (340 enodes) 14.044 * * [simplify]: Extracting #0: cost 1 inf + 0 14.044 * * [simplify]: Extracting #1: cost 4 inf + 0 14.044 * * [simplify]: Extracting #2: cost 5 inf + 1 14.044 * * [simplify]: Extracting #3: cost 7 inf + 1 14.045 * * [simplify]: Extracting #4: cost 14 inf + 1 14.045 * * [simplify]: Extracting #5: cost 50 inf + 1 14.046 * * [simplify]: Extracting #6: cost 84 inf + 1 14.046 * * [simplify]: Extracting #7: cost 73 inf + 432 14.048 * * [simplify]: Extracting #8: cost 40 inf + 5877 14.053 * * [simplify]: Extracting #9: cost 12 inf + 14738 14.060 * * [simplify]: Extracting #10: cost 6 inf + 18021 14.067 * * [simplify]: Extracting #11: cost 1 inf + 22572 14.075 * * [simplify]: Extracting #12: cost 0 inf + 23547 14.083 * [simplify]: Simplified to (* (cbrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) R) 14.083 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (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 (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) R))) 14.083 * * * * [progress]: [ 25 / 80 ] simplifiying candidate # 14.084 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) 14.084 * * [simplify]: iters left: 6 (23 enodes) 14.094 * * [simplify]: iters left: 5 (85 enodes) 14.121 * * [simplify]: iters left: 4 (147 enodes) 14.172 * * [simplify]: iters left: 3 (256 enodes) 14.239 * * [simplify]: iters left: 2 (340 enodes) 14.334 * * [simplify]: Extracting #0: cost 1 inf + 0 14.334 * * [simplify]: Extracting #1: cost 4 inf + 0 14.334 * * [simplify]: Extracting #2: cost 5 inf + 1 14.334 * * [simplify]: Extracting #3: cost 7 inf + 1 14.334 * * [simplify]: Extracting #4: cost 14 inf + 1 14.334 * * [simplify]: Extracting #5: cost 50 inf + 1 14.335 * * [simplify]: Extracting #6: cost 84 inf + 1 14.336 * * [simplify]: Extracting #7: cost 73 inf + 432 14.337 * * [simplify]: Extracting #8: cost 40 inf + 5877 14.343 * * [simplify]: Extracting #9: cost 12 inf + 14738 14.349 * * [simplify]: Extracting #10: cost 6 inf + 18021 14.356 * * [simplify]: Extracting #11: cost 1 inf + 22452 14.364 * * [simplify]: Extracting #12: cost 0 inf + 23387 14.372 * [simplify]: Simplified to (* (sqrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) R) 14.372 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (sqrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) R))) 14.372 * * * * [progress]: [ 26 / 80 ] simplifiying candidate # 14.373 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 14.373 * * [simplify]: iters left: 6 (22 enodes) 14.382 * * [simplify]: iters left: 5 (82 enodes) 14.408 * * [simplify]: iters left: 4 (144 enodes) 14.458 * * [simplify]: iters left: 3 (254 enodes) 14.513 * * [simplify]: iters left: 2 (332 enodes) 14.600 * * [simplify]: Extracting #0: cost 1 inf + 0 14.600 * * [simplify]: Extracting #1: cost 4 inf + 0 14.600 * * [simplify]: Extracting #2: cost 5 inf + 1 14.600 * * [simplify]: Extracting #3: cost 12 inf + 1 14.601 * * [simplify]: Extracting #4: cost 48 inf + 1 14.601 * * [simplify]: Extracting #5: cost 82 inf + 1 14.601 * * [simplify]: Extracting #6: cost 70 inf + 594 14.602 * * [simplify]: Extracting #7: cost 52 inf + 3005 14.604 * * [simplify]: Extracting #8: cost 14 inf + 13145 14.607 * * [simplify]: Extracting #9: cost 4 inf + 18181 14.611 * * [simplify]: Extracting #10: cost 1 inf + 20744 14.615 * * [simplify]: Extracting #11: cost 0 inf + 21559 14.619 * * [simplify]: Extracting #12: cost 0 inf + 21519 14.622 * [simplify]: Simplified to (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) R) 14.622 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) R))) 14.623 * * * * [progress]: [ 27 / 80 ] simplifiying candidate #real (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> 14.623 * [simplify]: Simplifying (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 14.623 * * [simplify]: iters left: 6 (23 enodes) 14.629 * * [simplify]: iters left: 5 (82 enodes) 14.646 * * [simplify]: iters left: 4 (144 enodes) 14.698 * * [simplify]: iters left: 3 (254 enodes) 14.757 * * [simplify]: iters left: 2 (338 enodes) 14.804 * * [simplify]: Extracting #0: cost 1 inf + 0 14.804 * * [simplify]: Extracting #1: cost 2 inf + 0 14.804 * * [simplify]: Extracting #2: cost 4 inf + 0 14.804 * * [simplify]: Extracting #3: cost 5 inf + 1 14.804 * * [simplify]: Extracting #4: cost 12 inf + 1 14.804 * * [simplify]: Extracting #5: cost 48 inf + 1 14.805 * * [simplify]: Extracting #6: cost 82 inf + 1 14.805 * * [simplify]: Extracting #7: cost 71 inf + 432 14.806 * * [simplify]: Extracting #8: cost 51 inf + 3066 14.807 * * [simplify]: Extracting #9: cost 16 inf + 12642 14.811 * * [simplify]: Extracting #10: cost 5 inf + 17718 14.815 * * [simplify]: Extracting #11: cost 0 inf + 21679 14.818 * * [simplify]: Extracting #12: cost 0 inf + 21519 14.822 * [simplify]: Simplified to (real->posit16 (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) R)) 14.822 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (posit16->real (real->posit16 (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) R)))) 14.823 * * * * [progress]: [ 28 / 80 ] simplifiying candidate # 14.823 * * * * [progress]: [ 29 / 80 ] simplifiying candidate # 14.823 * [simplify]: Simplifying (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 14.823 * * [simplify]: iters left: 5 (7 enodes) 14.824 * * [simplify]: iters left: 4 (26 enodes) 14.828 * * [simplify]: iters left: 3 (32 enodes) 14.832 * * [simplify]: Extracting #0: cost 1 inf + 0 14.832 * * [simplify]: Extracting #1: cost 5 inf + 0 14.832 * * [simplify]: Extracting #2: cost 10 inf + 0 14.832 * * [simplify]: Extracting #3: cost 15 inf + 0 14.832 * * [simplify]: Extracting #4: cost 13 inf + 43 14.833 * * [simplify]: Extracting #5: cost 4 inf + 800 14.833 * * [simplify]: Extracting #6: cost 1 inf + 1186 14.833 * * [simplify]: Extracting #7: cost 0 inf + 1428 14.833 * [simplify]: Simplified to (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) 14.833 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) 2) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 14.834 * * * * [progress]: [ 30 / 80 ] simplifiying candidate # 14.834 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 14.834 * * [simplify]: iters left: 3 (5 enodes) 14.835 * * [simplify]: iters left: 2 (16 enodes) 14.837 * * [simplify]: Extracting #0: cost 1 inf + 0 14.837 * * [simplify]: Extracting #1: cost 4 inf + 0 14.837 * * [simplify]: Extracting #2: cost 8 inf + 0 14.837 * * [simplify]: Extracting #3: cost 4 inf + 124 14.837 * * [simplify]: Extracting #4: cost 0 inf + 570 14.837 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 14.837 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi2) (sin phi1)) 1) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 14.837 * * * * [progress]: [ 31 / 80 ] simplifiying candidate # 14.838 * * * * [progress]: [ 32 / 80 ] simplifiying candidate # 14.838 * [simplify]: Simplifying (+ (log (sin phi1)) (log (sin phi2))) 14.838 * * [simplify]: iters left: 4 (7 enodes) 14.839 * * [simplify]: iters left: 3 (22 enodes) 14.842 * * [simplify]: Extracting #0: cost 1 inf + 0 14.842 * * [simplify]: Extracting #1: cost 4 inf + 0 14.842 * * [simplify]: Extracting #2: cost 8 inf + 0 14.842 * * [simplify]: Extracting #3: cost 12 inf + 0 14.842 * * [simplify]: Extracting #4: cost 10 inf + 2 14.842 * * [simplify]: Extracting #5: cost 4 inf + 508 14.842 * * [simplify]: Extracting #6: cost 1 inf + 1072 14.842 * * [simplify]: Extracting #7: cost 0 inf + 1374 14.843 * [simplify]: Simplified to (+ (log (sin phi2)) (log (sin phi1))) 14.843 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (+ (log (sin phi2)) (log (sin phi1)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 14.843 * * * * [progress]: [ 33 / 80 ] simplifiying candidate # 14.843 * [simplify]: Simplifying (log (* (sin phi1) (sin phi2))) 14.843 * * [simplify]: iters left: 4 (6 enodes) 14.844 * * [simplify]: iters left: 3 (22 enodes) 14.847 * * [simplify]: iters left: 2 (27 enodes) 14.851 * * [simplify]: Extracting #0: cost 1 inf + 0 14.851 * * [simplify]: Extracting #1: cost 5 inf + 0 14.851 * * [simplify]: Extracting #2: cost 10 inf + 0 14.851 * * [simplify]: Extracting #3: cost 14 inf + 0 14.851 * * [simplify]: Extracting #4: cost 9 inf + 255 14.851 * * [simplify]: Extracting #5: cost 6 inf + 508 14.851 * * [simplify]: Extracting #6: cost 1 inf + 1326 14.851 * * [simplify]: Extracting #7: cost 0 inf + 1558 14.851 * [simplify]: Simplified to (log (* (sin phi2) (sin phi1))) 14.851 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (log (* (sin phi2) (sin phi1)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 14.852 * * * * [progress]: [ 34 / 80 ] simplifiying candidate # 14.852 * [simplify]: Simplifying (exp (* (sin phi1) (sin phi2))) 14.852 * * [simplify]: iters left: 4 (6 enodes) 14.853 * * [simplify]: iters left: 3 (21 enodes) 14.856 * * [simplify]: iters left: 2 (29 enodes) 14.861 * * [simplify]: iters left: 1 (42 enodes) 14.868 * * [simplify]: Extracting #0: cost 1 inf + 0 14.868 * * [simplify]: Extracting #1: cost 14 inf + 0 14.868 * * [simplify]: Extracting #2: cost 32 inf + 0 14.868 * * [simplify]: Extracting #3: cost 26 inf + 963 14.869 * * [simplify]: Extracting #4: cost 10 inf + 3532 14.870 * * [simplify]: Extracting #5: cost 2 inf + 6437 14.872 * * [simplify]: Extracting #6: cost 0 inf + 7614 14.873 * [simplify]: Simplified to (exp (* (sin phi2) (sin phi1))) 14.873 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi2) (sin phi1)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 14.873 * * * * [progress]: [ 35 / 80 ] simplifiying candidate # 14.874 * [simplify]: Simplifying (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) 14.874 * * [simplify]: iters left: 6 (9 enodes) 14.878 * * [simplify]: iters left: 5 (34 enodes) 14.891 * * [simplify]: iters left: 4 (63 enodes) 14.916 * * [simplify]: iters left: 3 (122 enodes) 14.963 * * [simplify]: iters left: 2 (197 enodes) 15.059 * * [simplify]: iters left: 1 (380 enodes) 15.234 * * [simplify]: Extracting #0: cost 1 inf + 0 15.234 * * [simplify]: Extracting #1: cost 71 inf + 0 15.235 * * [simplify]: Extracting #2: cost 181 inf + 1 15.237 * * [simplify]: Extracting #3: cost 163 inf + 2396 15.244 * * [simplify]: Extracting #4: cost 90 inf + 31918 15.261 * * [simplify]: Extracting #5: cost 8 inf + 81296 15.279 * * [simplify]: Extracting #6: cost 0 inf + 86990 15.298 * [simplify]: Simplified to (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1))) 15.298 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 15.298 * * * * [progress]: [ 36 / 80 ] simplifiying candidate # 15.299 * [simplify]: Simplifying (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) 15.299 * * [simplify]: iters left: 6 (7 enodes) 15.302 * * [simplify]: iters left: 5 (22 enodes) 15.308 * * [simplify]: Extracting #0: cost 1 inf + 0 15.308 * * [simplify]: Extracting #1: cost 3 inf + 0 15.308 * * [simplify]: Extracting #2: cost 5 inf + 0 15.308 * * [simplify]: Extracting #3: cost 8 inf + 0 15.308 * * [simplify]: Extracting #4: cost 12 inf + 0 15.308 * * [simplify]: Extracting #5: cost 10 inf + 2 15.308 * * [simplify]: Extracting #6: cost 1 inf + 1336 15.309 * * [simplify]: Extracting #7: cost 0 inf + 1618 15.309 * [simplify]: Simplified to (* (cbrt (* (sin phi2) (sin phi1))) (cbrt (* (sin phi2) (sin phi1)))) 15.309 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (* (sin phi2) (sin phi1))) (cbrt (* (sin phi2) (sin phi1)))) (cbrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 15.310 * [simplify]: Simplifying (cbrt (* (sin phi1) (sin phi2))) 15.310 * * [simplify]: iters left: 4 (6 enodes) 15.312 * * [simplify]: iters left: 3 (19 enodes) 15.322 * * [simplify]: Extracting #0: cost 1 inf + 0 15.322 * * [simplify]: Extracting #1: cost 3 inf + 0 15.322 * * [simplify]: Extracting #2: cost 6 inf + 0 15.322 * * [simplify]: Extracting #3: cost 10 inf + 0 15.322 * * [simplify]: Extracting #4: cost 6 inf + 124 15.322 * * [simplify]: Extracting #5: cost 0 inf + 1054 15.322 * [simplify]: Simplified to (cbrt (* (sin phi2) (sin phi1))) 15.322 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi2) (sin phi1)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 15.323 * * * * [progress]: [ 37 / 80 ] simplifiying candidate # 15.323 * [simplify]: Simplifying (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) 15.323 * * [simplify]: iters left: 6 (7 enodes) 15.327 * * [simplify]: iters left: 5 (32 enodes) 15.338 * * [simplify]: iters left: 4 (72 enodes) 15.354 * * [simplify]: iters left: 3 (126 enodes) 15.389 * * [simplify]: iters left: 2 (157 enodes) 15.448 * * [simplify]: iters left: 1 (231 enodes) 15.525 * * [simplify]: Extracting #0: cost 1 inf + 0 15.525 * * [simplify]: Extracting #1: cost 35 inf + 0 15.526 * * [simplify]: Extracting #2: cost 95 inf + 1 15.526 * * [simplify]: Extracting #3: cost 77 inf + 2691 15.529 * * [simplify]: Extracting #4: cost 18 inf + 23450 15.532 * * [simplify]: Extracting #5: cost 0 inf + 32321 15.536 * [simplify]: Simplified to (* (* (sin phi2) (sin phi1)) (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)))) 15.536 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (sin phi2) (sin phi1)) (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 15.537 * * * * [progress]: [ 38 / 80 ] simplifiying candidate # 15.537 * [simplify]: Simplifying (sqrt (* (sin phi1) (sin phi2))) 15.537 * * [simplify]: iters left: 4 (6 enodes) 15.538 * * [simplify]: iters left: 3 (19 enodes) 15.540 * * [simplify]: Extracting #0: cost 1 inf + 0 15.540 * * [simplify]: Extracting #1: cost 3 inf + 0 15.540 * * [simplify]: Extracting #2: cost 6 inf + 0 15.541 * * [simplify]: Extracting #3: cost 10 inf + 0 15.541 * * [simplify]: Extracting #4: cost 6 inf + 124 15.541 * * [simplify]: Extracting #5: cost 0 inf + 974 15.541 * [simplify]: Simplified to (sqrt (* (sin phi2) (sin phi1))) 15.541 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (* (sin phi2) (sin phi1))) (sqrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 15.541 * [simplify]: Simplifying (sqrt (* (sin phi1) (sin phi2))) 15.541 * * [simplify]: iters left: 4 (6 enodes) 15.542 * * [simplify]: iters left: 3 (19 enodes) 15.545 * * [simplify]: Extracting #0: cost 1 inf + 0 15.545 * * [simplify]: Extracting #1: cost 3 inf + 0 15.545 * * [simplify]: Extracting #2: cost 6 inf + 0 15.545 * * [simplify]: Extracting #3: cost 10 inf + 0 15.545 * * [simplify]: Extracting #4: cost 6 inf + 124 15.545 * * [simplify]: Extracting #5: cost 0 inf + 974 15.545 * [simplify]: Simplified to (sqrt (* (sin phi2) (sin phi1))) 15.545 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi2) (sin phi1)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 15.545 * * * * [progress]: [ 39 / 80 ] simplifiying candidate # 15.545 * * * * [progress]: [ 40 / 80 ] simplifiying candidate # 15.546 * [simplify]: Simplifying (* (sqrt (sin phi1)) (sqrt (sin phi2))) 15.546 * * [simplify]: iters left: 4 (7 enodes) 15.547 * * [simplify]: iters left: 3 (22 enodes) 15.551 * * [simplify]: Extracting #0: cost 1 inf + 0 15.551 * * [simplify]: Extracting #1: cost 4 inf + 0 15.551 * * [simplify]: Extracting #2: cost 8 inf + 0 15.551 * * [simplify]: Extracting #3: cost 12 inf + 0 15.551 * * [simplify]: Extracting #4: cost 10 inf + 2 15.551 * * [simplify]: Extracting #5: cost 4 inf + 448 15.552 * * [simplify]: Extracting #6: cost 1 inf + 892 15.552 * * [simplify]: Extracting #7: cost 0 inf + 1134 15.552 * [simplify]: Simplified to (* (sqrt (sin phi1)) (sqrt (sin phi2))) 15.552 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 15.553 * [simplify]: Simplifying (* (sqrt (sin phi1)) (sqrt (sin phi2))) 15.553 * * [simplify]: iters left: 4 (7 enodes) 15.556 * * [simplify]: iters left: 3 (22 enodes) 15.562 * * [simplify]: Extracting #0: cost 1 inf + 0 15.562 * * [simplify]: Extracting #1: cost 4 inf + 0 15.562 * * [simplify]: Extracting #2: cost 8 inf + 0 15.562 * * [simplify]: Extracting #3: cost 12 inf + 0 15.562 * * [simplify]: Extracting #4: cost 10 inf + 2 15.562 * * [simplify]: Extracting #5: cost 4 inf + 448 15.562 * * [simplify]: Extracting #6: cost 1 inf + 892 15.563 * * [simplify]: Extracting #7: cost 0 inf + 1134 15.563 * [simplify]: Simplified to (* (sqrt (sin phi1)) (sqrt (sin phi2))) 15.563 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 15.563 * * * * [progress]: [ 41 / 80 ] simplifiying candidate # 15.564 * [simplify]: Simplifying (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) 15.564 * * [simplify]: iters left: 6 (7 enodes) 15.567 * * [simplify]: iters left: 5 (24 enodes) 15.573 * * [simplify]: iters left: 4 (28 enodes) 15.580 * * [simplify]: Extracting #0: cost 1 inf + 0 15.580 * * [simplify]: Extracting #1: cost 6 inf + 0 15.580 * * [simplify]: Extracting #2: cost 12 inf + 0 15.581 * * [simplify]: Extracting #3: cost 13 inf + 1 15.581 * * [simplify]: Extracting #4: cost 8 inf + 246 15.581 * * [simplify]: Extracting #5: cost 3 inf + 1193 15.581 * * [simplify]: Extracting #6: cost 1 inf + 1656 15.582 * * [simplify]: Extracting #7: cost 0 inf + 1938 15.582 * [simplify]: Simplified to (* (* (sin phi1) (cbrt (sin phi2))) (cbrt (sin phi2))) 15.582 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (* (sin phi1) (cbrt (sin phi2))) (cbrt (sin phi2))) (cbrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 15.583 * * * * [progress]: [ 42 / 80 ] simplifiying candidate # 15.583 * [simplify]: Simplifying (* (sin phi1) (sqrt (sin phi2))) 15.583 * * [simplify]: iters left: 4 (6 enodes) 15.585 * * [simplify]: iters left: 3 (19 enodes) 15.590 * * [simplify]: Extracting #0: cost 1 inf + 0 15.590 * * [simplify]: Extracting #1: cost 4 inf + 0 15.590 * * [simplify]: Extracting #2: cost 8 inf + 0 15.590 * * [simplify]: Extracting #3: cost 9 inf + 1 15.591 * * [simplify]: Extracting #4: cost 0 inf + 852 15.591 * [simplify]: Simplified to (* (sin phi1) (sqrt (sin phi2))) 15.591 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (sqrt (sin phi2))) (sqrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 15.591 * * * * [progress]: [ 43 / 80 ] simplifiying candidate # 15.591 * [simplify]: Simplifying (* (sin phi1) 1) 15.592 * * [simplify]: iters left: 3 (4 enodes) 15.594 * * [simplify]: iters left: 2 (13 enodes) 15.598 * * [simplify]: iters left: 1 (17 enodes) 15.603 * * [simplify]: Extracting #0: cost 1 inf + 0 15.603 * * [simplify]: Extracting #1: cost 4 inf + 0 15.603 * * [simplify]: Extracting #2: cost 0 inf + 124 15.603 * [simplify]: Simplified to (sin phi1) 15.603 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 15.604 * * * * [progress]: [ 44 / 80 ] simplifiying candidate # 15.604 * [simplify]: Simplifying (* (cbrt (sin phi1)) (sin phi2)) 15.604 * * [simplify]: iters left: 4 (6 enodes) 15.606 * * [simplify]: iters left: 3 (19 enodes) 15.611 * * [simplify]: Extracting #0: cost 1 inf + 0 15.611 * * [simplify]: Extracting #1: cost 4 inf + 0 15.611 * * [simplify]: Extracting #2: cost 8 inf + 0 15.611 * * [simplify]: Extracting #3: cost 7 inf + 123 15.612 * * [simplify]: Extracting #4: cost 6 inf + 124 15.612 * * [simplify]: Extracting #5: cost 0 inf + 1012 15.612 * [simplify]: Simplified to (* (sin phi2) (cbrt (sin phi1))) 15.612 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (sin phi2) (cbrt (sin phi1)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 15.612 * * * * [progress]: [ 45 / 80 ] simplifiying candidate # 15.613 * [simplify]: Simplifying (* (sqrt (sin phi1)) (sin phi2)) 15.613 * * [simplify]: iters left: 4 (6 enodes) 15.615 * * [simplify]: iters left: 3 (19 enodes) 15.620 * * [simplify]: Extracting #0: cost 1 inf + 0 15.620 * * [simplify]: Extracting #1: cost 4 inf + 0 15.620 * * [simplify]: Extracting #2: cost 8 inf + 0 15.620 * * [simplify]: Extracting #3: cost 7 inf + 123 15.620 * * [simplify]: Extracting #4: cost 6 inf + 124 15.620 * * [simplify]: Extracting #5: cost 0 inf + 852 15.621 * [simplify]: Simplified to (* (sin phi2) (sqrt (sin phi1))) 15.621 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sin phi2) (sqrt (sin phi1)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 15.621 * * * * [progress]: [ 46 / 80 ] simplifiying candidate # 15.621 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 15.621 * * [simplify]: iters left: 3 (5 enodes) 15.623 * * [simplify]: iters left: 2 (16 enodes) 15.627 * * [simplify]: Extracting #0: cost 1 inf + 0 15.627 * * [simplify]: Extracting #1: cost 4 inf + 0 15.627 * * [simplify]: Extracting #2: cost 8 inf + 0 15.628 * * [simplify]: Extracting #3: cost 4 inf + 124 15.628 * * [simplify]: Extracting #4: cost 0 inf + 570 15.628 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 15.628 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* 1 (* (sin phi2) (sin phi1))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 15.628 * * * * [progress]: [ 47 / 80 ] simplifiying candidate #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> 15.629 * [simplify]: Simplifying (real->posit16 (* (sin phi1) (sin phi2))) 15.629 * * [simplify]: iters left: 4 (6 enodes) 15.631 * * [simplify]: iters left: 3 (16 enodes) 15.638 * * [simplify]: Extracting #0: cost 1 inf + 0 15.638 * * [simplify]: Extracting #1: cost 2 inf + 0 15.638 * * [simplify]: Extracting #2: cost 4 inf + 0 15.638 * * [simplify]: Extracting #3: cost 8 inf + 0 15.638 * * [simplify]: Extracting #4: cost 4 inf + 124 15.638 * * [simplify]: Extracting #5: cost 0 inf + 570 15.638 * [simplify]: Simplified to (real->posit16 (* (sin phi2) (sin phi1))) 15.638 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (posit16->real (real->posit16 (* (sin phi2) (sin phi1)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 15.639 * * * * [progress]: [ 48 / 80 ] simplifiying candidate # 15.639 * * * * [progress]: [ 49 / 80 ] simplifiying candidate # 15.639 * [simplify]: Simplifying (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) 15.639 * * [simplify]: iters left: 5 (7 enodes) 15.642 * * [simplify]: iters left: 4 (26 enodes) 15.650 * * [simplify]: iters left: 3 (32 enodes) 15.658 * * [simplify]: Extracting #0: cost 1 inf + 0 15.658 * * [simplify]: Extracting #1: cost 5 inf + 0 15.658 * * [simplify]: Extracting #2: cost 10 inf + 0 15.659 * * [simplify]: Extracting #3: cost 15 inf + 0 15.659 * * [simplify]: Extracting #4: cost 13 inf + 43 15.659 * * [simplify]: Extracting #5: cost 4 inf + 800 15.659 * * [simplify]: Extracting #6: cost 1 inf + 1186 15.660 * * [simplify]: Extracting #7: cost 0 inf + 1428 15.660 * [simplify]: Simplified to (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))) 15.660 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (/ (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))) 2))))) R)) 15.661 * * * * [progress]: [ 50 / 80 ] simplifiying candidate # 15.661 * [simplify]: Simplifying (* (sin lambda1) (sin lambda2)) 15.661 * * [simplify]: iters left: 3 (5 enodes) 15.663 * * [simplify]: iters left: 2 (16 enodes) 15.667 * * [simplify]: Extracting #0: cost 1 inf + 0 15.667 * * [simplify]: Extracting #1: cost 4 inf + 0 15.668 * * [simplify]: Extracting #2: cost 8 inf + 0 15.668 * * [simplify]: Extracting #3: cost 4 inf + 124 15.668 * * [simplify]: Extracting #4: cost 0 inf + 570 15.668 * [simplify]: Simplified to (* (sin lambda2) (sin lambda1)) 15.668 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (pow (* (sin lambda2) (sin lambda1)) 1))))) R)) 15.668 * * * * [progress]: [ 51 / 80 ] simplifiying candidate # 15.668 * * * * [progress]: [ 52 / 80 ] simplifiying candidate # 15.669 * [simplify]: Simplifying (+ (log (sin lambda1)) (log (sin lambda2))) 15.669 * * [simplify]: iters left: 4 (7 enodes) 15.672 * * [simplify]: iters left: 3 (22 enodes) 15.675 * * [simplify]: Extracting #0: cost 1 inf + 0 15.675 * * [simplify]: Extracting #1: cost 4 inf + 0 15.675 * * [simplify]: Extracting #2: cost 8 inf + 0 15.675 * * [simplify]: Extracting #3: cost 12 inf + 0 15.675 * * [simplify]: Extracting #4: cost 10 inf + 2 15.675 * * [simplify]: Extracting #5: cost 4 inf + 508 15.675 * * [simplify]: Extracting #6: cost 1 inf + 1072 15.675 * * [simplify]: Extracting #7: cost 0 inf + 1374 15.675 * [simplify]: Simplified to (+ (log (sin lambda2)) (log (sin lambda1))) 15.675 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (exp (+ (log (sin lambda2)) (log (sin lambda1)))))))) R)) 15.676 * * * * [progress]: [ 53 / 80 ] simplifiying candidate # 15.676 * [simplify]: Simplifying (log (* (sin lambda1) (sin lambda2))) 15.676 * * [simplify]: iters left: 4 (6 enodes) 15.677 * * [simplify]: iters left: 3 (22 enodes) 15.680 * * [simplify]: iters left: 2 (27 enodes) 15.683 * * [simplify]: Extracting #0: cost 1 inf + 0 15.683 * * [simplify]: Extracting #1: cost 5 inf + 0 15.683 * * [simplify]: Extracting #2: cost 10 inf + 0 15.683 * * [simplify]: Extracting #3: cost 14 inf + 0 15.683 * * [simplify]: Extracting #4: cost 9 inf + 255 15.683 * * [simplify]: Extracting #5: cost 6 inf + 508 15.684 * * [simplify]: Extracting #6: cost 1 inf + 1326 15.684 * * [simplify]: Extracting #7: cost 0 inf + 1558 15.684 * [simplify]: Simplified to (log (* (sin lambda2) (sin lambda1))) 15.684 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (exp (log (* (sin lambda2) (sin lambda1)))))))) R)) 15.684 * * * * [progress]: [ 54 / 80 ] simplifiying candidate # 15.684 * [simplify]: Simplifying (exp (* (sin lambda1) (sin lambda2))) 15.684 * * [simplify]: iters left: 4 (6 enodes) 15.686 * * [simplify]: iters left: 3 (21 enodes) 15.688 * * [simplify]: iters left: 2 (29 enodes) 15.693 * * [simplify]: iters left: 1 (42 enodes) 15.702 * * [simplify]: Extracting #0: cost 1 inf + 0 15.702 * * [simplify]: Extracting #1: cost 14 inf + 0 15.703 * * [simplify]: Extracting #2: cost 32 inf + 0 15.703 * * [simplify]: Extracting #3: cost 26 inf + 963 15.704 * * [simplify]: Extracting #4: cost 10 inf + 3532 15.705 * * [simplify]: Extracting #5: cost 2 inf + 6437 15.706 * * [simplify]: Extracting #6: cost 0 inf + 7614 15.708 * [simplify]: Simplified to (exp (* (sin lambda2) (sin lambda1))) 15.708 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda2) (sin lambda1)))))))) R)) 15.708 * * * * [progress]: [ 55 / 80 ] simplifiying candidate # 15.708 * [simplify]: Simplifying (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) 15.709 * * [simplify]: iters left: 6 (9 enodes) 15.713 * * [simplify]: iters left: 5 (34 enodes) 15.724 * * [simplify]: iters left: 4 (63 enodes) 15.749 * * [simplify]: iters left: 3 (122 enodes) 15.779 * * [simplify]: iters left: 2 (197 enodes) 15.877 * * [simplify]: iters left: 1 (380 enodes) 16.025 * * [simplify]: Extracting #0: cost 1 inf + 0 16.025 * * [simplify]: Extracting #1: cost 71 inf + 0 16.026 * * [simplify]: Extracting #2: cost 181 inf + 1 16.028 * * [simplify]: Extracting #3: cost 163 inf + 2396 16.035 * * [simplify]: Extracting #4: cost 90 inf + 31918 16.051 * * [simplify]: Extracting #5: cost 8 inf + 81296 16.069 * * [simplify]: Extracting #6: cost 0 inf + 86990 16.088 * [simplify]: Simplified to (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (sin lambda2) (sin lambda1))) 16.088 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (sin lambda2) (sin lambda1)))))))) R)) 16.089 * * * * [progress]: [ 56 / 80 ] simplifiying candidate # 16.089 * [simplify]: Simplifying (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) 16.089 * * [simplify]: iters left: 6 (7 enodes) 16.092 * * [simplify]: iters left: 5 (22 enodes) 16.097 * * [simplify]: Extracting #0: cost 1 inf + 0 16.097 * * [simplify]: Extracting #1: cost 3 inf + 0 16.097 * * [simplify]: Extracting #2: cost 5 inf + 0 16.097 * * [simplify]: Extracting #3: cost 8 inf + 0 16.097 * * [simplify]: Extracting #4: cost 12 inf + 0 16.097 * * [simplify]: Extracting #5: cost 10 inf + 2 16.098 * * [simplify]: Extracting #6: cost 1 inf + 1336 16.098 * * [simplify]: Extracting #7: cost 0 inf + 1618 16.098 * [simplify]: Simplified to (* (cbrt (* (sin lambda2) (sin lambda1))) (cbrt (* (sin lambda2) (sin lambda1)))) 16.098 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (cbrt (* (sin lambda2) (sin lambda1))) (cbrt (* (sin lambda2) (sin lambda1)))) (cbrt (* (sin lambda1) (sin lambda2)))))))) R)) 16.099 * [simplify]: Simplifying (cbrt (* (sin lambda1) (sin lambda2))) 16.099 * * [simplify]: iters left: 4 (6 enodes) 16.100 * * [simplify]: iters left: 3 (19 enodes) 16.103 * * [simplify]: Extracting #0: cost 1 inf + 0 16.103 * * [simplify]: Extracting #1: cost 3 inf + 0 16.103 * * [simplify]: Extracting #2: cost 6 inf + 0 16.103 * * [simplify]: Extracting #3: cost 10 inf + 0 16.103 * * [simplify]: Extracting #4: cost 6 inf + 124 16.103 * * [simplify]: Extracting #5: cost 0 inf + 1054 16.103 * [simplify]: Simplified to (cbrt (* (sin lambda2) (sin lambda1))) 16.103 * [simplify]: Simplified (2 1 1 2 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda2) (sin lambda1)))))))) R)) 16.103 * * * * [progress]: [ 57 / 80 ] simplifiying candidate # 16.103 * [simplify]: Simplifying (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) 16.103 * * [simplify]: iters left: 6 (7 enodes) 16.105 * * [simplify]: iters left: 5 (32 enodes) 16.111 * * [simplify]: iters left: 4 (72 enodes) 16.128 * * [simplify]: iters left: 3 (126 enodes) 16.155 * * [simplify]: iters left: 2 (157 enodes) 16.192 * * [simplify]: iters left: 1 (231 enodes) 16.273 * * [simplify]: Extracting #0: cost 1 inf + 0 16.273 * * [simplify]: Extracting #1: cost 35 inf + 0 16.274 * * [simplify]: Extracting #2: cost 95 inf + 1 16.275 * * [simplify]: Extracting #3: cost 77 inf + 2691 16.279 * * [simplify]: Extracting #4: cost 18 inf + 23450 16.287 * * [simplify]: Extracting #5: cost 0 inf + 32321 16.295 * [simplify]: Simplified to (* (* (sin lambda2) (sin lambda1)) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))) 16.295 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (* (* (sin lambda2) (sin lambda1)) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))))))))) R)) 16.295 * * * * [progress]: [ 58 / 80 ] simplifiying candidate # 16.298 * [simplify]: Simplifying (sqrt (* (sin lambda1) (sin lambda2))) 16.298 * * [simplify]: iters left: 4 (6 enodes) 16.300 * * [simplify]: iters left: 3 (19 enodes) 16.302 * * [simplify]: Extracting #0: cost 1 inf + 0 16.302 * * [simplify]: Extracting #1: cost 3 inf + 0 16.302 * * [simplify]: Extracting #2: cost 6 inf + 0 16.302 * * [simplify]: Extracting #3: cost 10 inf + 0 16.302 * * [simplify]: Extracting #4: cost 6 inf + 124 16.302 * * [simplify]: Extracting #5: cost 0 inf + 974 16.303 * [simplify]: Simplified to (sqrt (* (sin lambda2) (sin lambda1))) 16.303 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sqrt (* (sin lambda2) (sin lambda1))) (sqrt (* (sin lambda1) (sin lambda2)))))))) R)) 16.303 * [simplify]: Simplifying (sqrt (* (sin lambda1) (sin lambda2))) 16.303 * * [simplify]: iters left: 4 (6 enodes) 16.304 * * [simplify]: iters left: 3 (19 enodes) 16.307 * * [simplify]: Extracting #0: cost 1 inf + 0 16.307 * * [simplify]: Extracting #1: cost 3 inf + 0 16.307 * * [simplify]: Extracting #2: cost 6 inf + 0 16.307 * * [simplify]: Extracting #3: cost 10 inf + 0 16.307 * * [simplify]: Extracting #4: cost 6 inf + 124 16.307 * * [simplify]: Extracting #5: cost 0 inf + 974 16.307 * [simplify]: Simplified to (sqrt (* (sin lambda2) (sin lambda1))) 16.307 * [simplify]: Simplified (2 1 1 2 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda2) (sin lambda1)))))))) R)) 16.307 * * * * [progress]: [ 59 / 80 ] simplifiying candidate # 16.307 * * * * [progress]: [ 60 / 80 ] simplifiying candidate # 16.308 * [simplify]: Simplifying (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) 16.308 * * [simplify]: iters left: 4 (7 enodes) 16.309 * * [simplify]: iters left: 3 (22 enodes) 16.312 * * [simplify]: Extracting #0: cost 1 inf + 0 16.312 * * [simplify]: Extracting #1: cost 4 inf + 0 16.312 * * [simplify]: Extracting #2: cost 8 inf + 0 16.312 * * [simplify]: Extracting #3: cost 12 inf + 0 16.312 * * [simplify]: Extracting #4: cost 10 inf + 2 16.312 * * [simplify]: Extracting #5: cost 4 inf + 448 16.312 * * [simplify]: Extracting #6: cost 1 inf + 892 16.312 * * [simplify]: Extracting #7: cost 0 inf + 1134 16.313 * [simplify]: Simplified to (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) 16.313 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2)))))))) R)) 16.313 * [simplify]: Simplifying (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) 16.313 * * [simplify]: iters left: 4 (7 enodes) 16.314 * * [simplify]: iters left: 3 (22 enodes) 16.317 * * [simplify]: Extracting #0: cost 1 inf + 0 16.317 * * [simplify]: Extracting #1: cost 4 inf + 0 16.317 * * [simplify]: Extracting #2: cost 8 inf + 0 16.317 * * [simplify]: Extracting #3: cost 12 inf + 0 16.317 * * [simplify]: Extracting #4: cost 10 inf + 2 16.317 * * [simplify]: Extracting #5: cost 4 inf + 448 16.317 * * [simplify]: Extracting #6: cost 1 inf + 892 16.318 * * [simplify]: Extracting #7: cost 0 inf + 1134 16.318 * [simplify]: Simplified to (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) 16.318 * [simplify]: Simplified (2 1 1 2 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2)))))))) R)) 16.318 * * * * [progress]: [ 61 / 80 ] simplifiying candidate # 16.318 * [simplify]: Simplifying (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) 16.318 * * [simplify]: iters left: 6 (7 enodes) 16.320 * * [simplify]: iters left: 5 (24 enodes) 16.323 * * [simplify]: iters left: 4 (28 enodes) 16.327 * * [simplify]: Extracting #0: cost 1 inf + 0 16.327 * * [simplify]: Extracting #1: cost 6 inf + 0 16.327 * * [simplify]: Extracting #2: cost 12 inf + 0 16.327 * * [simplify]: Extracting #3: cost 13 inf + 1 16.327 * * [simplify]: Extracting #4: cost 8 inf + 246 16.327 * * [simplify]: Extracting #5: cost 3 inf + 1193 16.327 * * [simplify]: Extracting #6: cost 1 inf + 1656 16.328 * * [simplify]: Extracting #7: cost 0 inf + 1938 16.328 * [simplify]: Simplified to (* (* (sin lambda1) (cbrt (sin lambda2))) (cbrt (sin lambda2))) 16.328 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (* (sin lambda1) (cbrt (sin lambda2))) (cbrt (sin lambda2))) (cbrt (sin lambda2))))))) R)) 16.328 * * * * [progress]: [ 62 / 80 ] simplifiying candidate # 16.328 * [simplify]: Simplifying (* (sin lambda1) (sqrt (sin lambda2))) 16.328 * * [simplify]: iters left: 4 (6 enodes) 16.330 * * [simplify]: iters left: 3 (19 enodes) 16.332 * * [simplify]: Extracting #0: cost 1 inf + 0 16.332 * * [simplify]: Extracting #1: cost 4 inf + 0 16.332 * * [simplify]: Extracting #2: cost 8 inf + 0 16.332 * * [simplify]: Extracting #3: cost 9 inf + 1 16.332 * * [simplify]: Extracting #4: cost 0 inf + 852 16.332 * [simplify]: Simplified to (* (sin lambda1) (sqrt (sin lambda2))) 16.332 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (sqrt (sin lambda2))) (sqrt (sin lambda2))))))) R)) 16.333 * * * * [progress]: [ 63 / 80 ] simplifiying candidate # 16.333 * [simplify]: Simplifying (* (sin lambda1) 1) 16.333 * * [simplify]: iters left: 3 (4 enodes) 16.336 * * [simplify]: iters left: 2 (13 enodes) 16.341 * * [simplify]: iters left: 1 (17 enodes) 16.346 * * [simplify]: Extracting #0: cost 1 inf + 0 16.346 * * [simplify]: Extracting #1: cost 4 inf + 0 16.346 * * [simplify]: Extracting #2: cost 0 inf + 124 16.346 * [simplify]: Simplified to (sin lambda1) 16.346 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 16.346 * * * * [progress]: [ 64 / 80 ] simplifiying candidate # 16.347 * [simplify]: Simplifying (* (cbrt (sin lambda1)) (sin lambda2)) 16.347 * * [simplify]: iters left: 4 (6 enodes) 16.349 * * [simplify]: iters left: 3 (19 enodes) 16.354 * * [simplify]: Extracting #0: cost 1 inf + 0 16.355 * * [simplify]: Extracting #1: cost 4 inf + 0 16.355 * * [simplify]: Extracting #2: cost 8 inf + 0 16.355 * * [simplify]: Extracting #3: cost 7 inf + 123 16.355 * * [simplify]: Extracting #4: cost 6 inf + 124 16.355 * * [simplify]: Extracting #5: cost 0 inf + 1012 16.355 * [simplify]: Simplified to (* (sin lambda2) (cbrt (sin lambda1))) 16.355 * [simplify]: Simplified (2 1 1 2 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (cbrt (sin lambda1)) (cbrt (sin lambda1))) (* (sin lambda2) (cbrt (sin lambda1)))))))) R)) 16.356 * * * * [progress]: [ 65 / 80 ] simplifiying candidate # 16.356 * [simplify]: Simplifying (* (sqrt (sin lambda1)) (sin lambda2)) 16.356 * * [simplify]: iters left: 4 (6 enodes) 16.359 * * [simplify]: iters left: 3 (19 enodes) 16.364 * * [simplify]: Extracting #0: cost 1 inf + 0 16.364 * * [simplify]: Extracting #1: cost 4 inf + 0 16.364 * * [simplify]: Extracting #2: cost 8 inf + 0 16.364 * * [simplify]: Extracting #3: cost 7 inf + 123 16.364 * * [simplify]: Extracting #4: cost 6 inf + 124 16.364 * * [simplify]: Extracting #5: cost 0 inf + 852 16.365 * [simplify]: Simplified to (* (sin lambda2) (sqrt (sin lambda1))) 16.365 * [simplify]: Simplified (2 1 1 2 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sqrt (sin lambda1)) (* (sin lambda2) (sqrt (sin lambda1)))))))) R)) 16.365 * * * * [progress]: [ 66 / 80 ] simplifiying candidate # 16.365 * [simplify]: Simplifying (* (sin lambda1) (sin lambda2)) 16.365 * * [simplify]: iters left: 3 (5 enodes) 16.368 * * [simplify]: iters left: 2 (16 enodes) 16.372 * * [simplify]: Extracting #0: cost 1 inf + 0 16.372 * * [simplify]: Extracting #1: cost 4 inf + 0 16.372 * * [simplify]: Extracting #2: cost 8 inf + 0 16.372 * * [simplify]: Extracting #3: cost 4 inf + 124 16.372 * * [simplify]: Extracting #4: cost 0 inf + 570 16.373 * [simplify]: Simplified to (* (sin lambda2) (sin lambda1)) 16.373 * [simplify]: Simplified (2 1 1 2 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* 1 (* (sin lambda2) (sin lambda1))))))) R)) 16.373 * * * * [progress]: [ 67 / 80 ] simplifiying candidate #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> 16.373 * [simplify]: Simplifying (real->posit16 (* (sin lambda1) (sin lambda2))) 16.373 * * [simplify]: iters left: 4 (6 enodes) 16.376 * * [simplify]: iters left: 3 (16 enodes) 16.380 * * [simplify]: Extracting #0: cost 1 inf + 0 16.380 * * [simplify]: Extracting #1: cost 2 inf + 0 16.380 * * [simplify]: Extracting #2: cost 4 inf + 0 16.380 * * [simplify]: Extracting #3: cost 8 inf + 0 16.380 * * [simplify]: Extracting #4: cost 4 inf + 124 16.380 * * [simplify]: Extracting #5: cost 0 inf + 570 16.381 * [simplify]: Simplified to (real->posit16 (* (sin lambda2) (sin lambda1))) 16.381 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (posit16->real (real->posit16 (* (sin lambda2) (sin lambda1)))))))) R)) 16.381 * * * * [progress]: [ 68 / 80 ] simplifiying candidate # 16.381 * * * * [progress]: [ 69 / 80 ] simplifiying candidate # 16.381 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 16.382 * * [simplify]: iters left: 6 (22 enodes) 16.391 * * [simplify]: iters left: 5 (84 enodes) 16.418 * * [simplify]: iters left: 4 (141 enodes) 16.467 * * [simplify]: iters left: 3 (241 enodes) 16.523 * * [simplify]: iters left: 2 (280 enodes) 16.598 * * [simplify]: Extracting #0: cost 1 inf + 0 16.598 * * [simplify]: Extracting #1: cost 3 inf + 0 16.598 * * [simplify]: Extracting #2: cost 10 inf + 0 16.598 * * [simplify]: Extracting #3: cost 46 inf + 0 16.598 * * [simplify]: Extracting #4: cost 80 inf + 0 16.599 * * [simplify]: Extracting #5: cost 63 inf + 1504 16.600 * * [simplify]: Extracting #6: cost 22 inf + 9796 16.603 * * [simplify]: Extracting #7: cost 5 inf + 17031 16.607 * * [simplify]: Extracting #8: cost 0 inf + 19888 16.610 * * [simplify]: Extracting #9: cost 0 inf + 19728 16.613 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) 16.614 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R)) 16.614 * * * * [progress]: [ 70 / 80 ] simplifiying candidate # 16.614 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 16.614 * * [simplify]: iters left: 6 (22 enodes) 16.619 * * [simplify]: iters left: 5 (84 enodes) 16.633 * * [simplify]: iters left: 4 (141 enodes) 16.658 * * [simplify]: iters left: 3 (241 enodes) 16.701 * * [simplify]: iters left: 2 (280 enodes) 16.747 * * [simplify]: Extracting #0: cost 1 inf + 0 16.747 * * [simplify]: Extracting #1: cost 3 inf + 0 16.747 * * [simplify]: Extracting #2: cost 10 inf + 0 16.747 * * [simplify]: Extracting #3: cost 46 inf + 0 16.748 * * [simplify]: Extracting #4: cost 80 inf + 0 16.748 * * [simplify]: Extracting #5: cost 58 inf + 2112 16.750 * * [simplify]: Extracting #6: cost 20 inf + 10221 16.753 * * [simplify]: Extracting #7: cost 2 inf + 18300 16.756 * * [simplify]: Extracting #8: cost 0 inf + 19888 16.765 * * [simplify]: Extracting #9: cost 0 inf + 19728 16.772 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) 16.772 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) R)) 16.772 * * * * [progress]: [ 71 / 80 ] simplifiying candidate # 16.772 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 16.773 * * [simplify]: iters left: 6 (22 enodes) 16.783 * * [simplify]: iters left: 5 (84 enodes) 16.796 * * [simplify]: iters left: 4 (141 enodes) 16.821 * * [simplify]: iters left: 3 (241 enodes) 16.878 * * [simplify]: iters left: 2 (280 enodes) 16.929 * * [simplify]: Extracting #0: cost 1 inf + 0 16.929 * * [simplify]: Extracting #1: cost 3 inf + 0 16.929 * * [simplify]: Extracting #2: cost 10 inf + 0 16.929 * * [simplify]: Extracting #3: cost 46 inf + 0 16.930 * * [simplify]: Extracting #4: cost 80 inf + 0 16.930 * * [simplify]: Extracting #5: cost 63 inf + 1504 16.933 * * [simplify]: Extracting #6: cost 22 inf + 9796 16.939 * * [simplify]: Extracting #7: cost 5 inf + 17031 16.946 * * [simplify]: Extracting #8: cost 0 inf + 19888 16.953 * * [simplify]: Extracting #9: cost 0 inf + 19728 16.960 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) 16.960 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R)) 16.960 * * * * [progress]: [ 72 / 80 ] simplifiying candidate # 16.960 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 16.960 * * [simplify]: iters left: 6 (24 enodes) 16.966 * * [simplify]: iters left: 5 (91 enodes) 16.979 * * [simplify]: iters left: 4 (148 enodes) 17.017 * * [simplify]: iters left: 3 (248 enodes) 17.061 * * [simplify]: iters left: 2 (295 enodes) 17.117 * * [simplify]: Extracting #0: cost 1 inf + 0 17.117 * * [simplify]: Extracting #1: cost 4 inf + 0 17.117 * * [simplify]: Extracting #2: cost 5 inf + 1 17.117 * * [simplify]: Extracting #3: cost 12 inf + 1 17.117 * * [simplify]: Extracting #4: cost 48 inf + 1 17.118 * * [simplify]: Extracting #5: cost 82 inf + 1 17.118 * * [simplify]: Extracting #6: cost 71 inf + 634 17.121 * * [simplify]: Extracting #7: cost 31 inf + 8806 17.126 * * [simplify]: Extracting #8: cost 5 inf + 18631 17.148 * * [simplify]: Extracting #9: cost 1 inf + 20704 17.155 * * [simplify]: Extracting #10: cost 0 inf + 21559 17.162 * * [simplify]: Extracting #11: cost 0 inf + 21519 17.170 * [simplify]: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 17.170 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 17.170 * * * * [progress]: [ 73 / 80 ] simplifiying candidate # 17.170 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 17.171 * * [simplify]: iters left: 6 (24 enodes) 17.181 * * [simplify]: iters left: 5 (91 enodes) 17.208 * * [simplify]: iters left: 4 (148 enodes) 17.261 * * [simplify]: iters left: 3 (248 enodes) 17.345 * * [simplify]: iters left: 2 (292 enodes) 17.431 * * [simplify]: Extracting #0: cost 1 inf + 0 17.431 * * [simplify]: Extracting #1: cost 4 inf + 0 17.432 * * [simplify]: Extracting #2: cost 5 inf + 1 17.432 * * [simplify]: Extracting #3: cost 12 inf + 1 17.432 * * [simplify]: Extracting #4: cost 48 inf + 1 17.432 * * [simplify]: Extracting #5: cost 82 inf + 1 17.433 * * [simplify]: Extracting #6: cost 61 inf + 2052 17.437 * * [simplify]: Extracting #7: cost 23 inf + 9919 17.443 * * [simplify]: Extracting #8: cost 4 inf + 18021 17.450 * * [simplify]: Extracting #9: cost 1 inf + 20624 17.457 * * [simplify]: Extracting #10: cost 0 inf + 21519 17.464 * [simplify]: Simplified to (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R) 17.464 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R)) 17.464 * * * * [progress]: [ 74 / 80 ] simplifiying candidate # 17.465 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 17.465 * * [simplify]: iters left: 6 (24 enodes) 17.475 * * [simplify]: iters left: 5 (91 enodes) 17.505 * * [simplify]: iters left: 4 (148 enodes) 17.557 * * [simplify]: iters left: 3 (248 enodes) 17.602 * * [simplify]: iters left: 2 (295 enodes) 17.669 * * [simplify]: Extracting #0: cost 1 inf + 0 17.669 * * [simplify]: Extracting #1: cost 4 inf + 0 17.669 * * [simplify]: Extracting #2: cost 5 inf + 1 17.670 * * [simplify]: Extracting #3: cost 12 inf + 1 17.670 * * [simplify]: Extracting #4: cost 48 inf + 1 17.670 * * [simplify]: Extracting #5: cost 82 inf + 1 17.670 * * [simplify]: Extracting #6: cost 71 inf + 634 17.671 * * [simplify]: Extracting #7: cost 31 inf + 8806 17.674 * * [simplify]: Extracting #8: cost 5 inf + 18631 17.678 * * [simplify]: Extracting #9: cost 1 inf + 20704 17.682 * * [simplify]: Extracting #10: cost 0 inf + 21559 17.686 * * [simplify]: Extracting #11: cost 0 inf + 21519 17.690 * [simplify]: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 17.690 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 17.690 * * * * [progress]: [ 75 / 80 ] simplifiying candidate # 17.690 * [simplify]: Simplifying (* phi1 phi2) 17.690 * * [simplify]: iters left: 2 (3 enodes) 17.691 * * [simplify]: iters left: 1 (10 enodes) 17.692 * * [simplify]: Extracting #0: cost 1 inf + 0 17.692 * * [simplify]: Extracting #1: cost 4 inf + 0 17.692 * * [simplify]: Extracting #2: cost 2 inf + 2 17.692 * * [simplify]: Extracting #3: cost 0 inf + 86 17.692 * [simplify]: Simplified to (* phi1 phi2) 17.692 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* phi1 phi2) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 17.692 * * * * [progress]: [ 76 / 80 ] simplifiying candidate # 17.693 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 17.693 * * [simplify]: iters left: 3 (5 enodes) 17.695 * * [simplify]: iters left: 2 (16 enodes) 17.699 * * [simplify]: Extracting #0: cost 1 inf + 0 17.699 * * [simplify]: Extracting #1: cost 4 inf + 0 17.699 * * [simplify]: Extracting #2: cost 8 inf + 0 17.699 * * [simplify]: Extracting #3: cost 4 inf + 124 17.700 * * [simplify]: Extracting #4: cost 0 inf + 570 17.700 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 17.700 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 17.700 * * * * [progress]: [ 77 / 80 ] simplifiying candidate # 17.700 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 17.701 * * [simplify]: iters left: 3 (5 enodes) 17.703 * * [simplify]: iters left: 2 (16 enodes) 17.707 * * [simplify]: Extracting #0: cost 1 inf + 0 17.707 * * [simplify]: Extracting #1: cost 4 inf + 0 17.707 * * [simplify]: Extracting #2: cost 8 inf + 0 17.707 * * [simplify]: Extracting #3: cost 4 inf + 124 17.707 * * [simplify]: Extracting #4: cost 0 inf + 570 17.707 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 17.707 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 17.708 * * * * [progress]: [ 78 / 80 ] simplifiying candidate # 17.708 * [simplify]: Simplifying (* lambda2 lambda1) 17.708 * * [simplify]: iters left: 2 (3 enodes) 17.709 * * [simplify]: iters left: 1 (10 enodes) 17.712 * * [simplify]: Extracting #0: cost 1 inf + 0 17.712 * * [simplify]: Extracting #1: cost 4 inf + 0 17.712 * * [simplify]: Extracting #2: cost 2 inf + 2 17.712 * * [simplify]: Extracting #3: cost 0 inf + 86 17.712 * [simplify]: Simplified to (* lambda2 lambda1) 17.712 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* lambda2 lambda1))))) R)) 17.712 * * * * [progress]: [ 79 / 80 ] simplifiying candidate # 17.713 * [simplify]: Simplifying (* (sin lambda2) (sin lambda1)) 17.713 * * [simplify]: iters left: 3 (5 enodes) 17.715 * * [simplify]: iters left: 2 (16 enodes) 17.719 * * [simplify]: Extracting #0: cost 1 inf + 0 17.719 * * [simplify]: Extracting #1: cost 4 inf + 0 17.719 * * [simplify]: Extracting #2: cost 8 inf + 0 17.719 * * [simplify]: Extracting #3: cost 4 inf + 124 17.720 * * [simplify]: Extracting #4: cost 0 inf + 570 17.720 * [simplify]: Simplified to (* (sin lambda1) (sin lambda2)) 17.720 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 17.720 * * * * [progress]: [ 80 / 80 ] simplifiying candidate # 17.720 * [simplify]: Simplifying (* (sin lambda1) (sin lambda2)) 17.720 * * [simplify]: iters left: 3 (5 enodes) 17.722 * * [simplify]: iters left: 2 (16 enodes) 17.727 * * [simplify]: Extracting #0: cost 1 inf + 0 17.727 * * [simplify]: Extracting #1: cost 4 inf + 0 17.727 * * [simplify]: Extracting #2: cost 8 inf + 0 17.727 * * [simplify]: Extracting #3: cost 4 inf + 124 17.727 * * [simplify]: Extracting #4: cost 0 inf + 570 17.727 * [simplify]: Simplified to (* (sin lambda2) (sin lambda1)) 17.727 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R)) 17.727 * * * [progress]: adding candidates to table 19.475 * * [progress]: iteration 3 / 4 19.475 * * * [progress]: picking best candidate 19.715 * * * * [pick]: Picked # 19.715 * * * [progress]: localizing error 19.829 * * * [progress]: generating rewritten candidates 19.830 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 19.843 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 19.854 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 19.876 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2 1 2) 19.899 * * * [progress]: generating series expansions 19.899 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 19.900 * [backup-simplify]: Simplify (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 19.900 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi2 phi1 lambda2 lambda1) around 0 19.900 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 19.900 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 19.900 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 19.901 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 19.901 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 19.901 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 19.902 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 19.902 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 19.902 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 19.903 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 19.903 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 19.903 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 19.903 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 19.904 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 19.904 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 19.905 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 19.905 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 19.905 * [taylor]: Taking taylor expansion of 0 in phi1 19.905 * [backup-simplify]: Simplify 0 into 0 19.905 * [taylor]: Taking taylor expansion of 0 in lambda2 19.905 * [backup-simplify]: Simplify 0 into 0 19.905 * [taylor]: Taking taylor expansion of 0 in lambda1 19.905 * [backup-simplify]: Simplify 0 into 0 19.906 * [backup-simplify]: Simplify 0 into 0 19.906 * [taylor]: Taking taylor expansion of 0 in lambda2 19.906 * [backup-simplify]: Simplify 0 into 0 19.906 * [taylor]: Taking taylor expansion of 0 in lambda1 19.906 * [backup-simplify]: Simplify 0 into 0 19.906 * [backup-simplify]: Simplify 0 into 0 19.906 * [taylor]: Taking taylor expansion of 0 in lambda1 19.906 * [backup-simplify]: Simplify 0 into 0 19.906 * [backup-simplify]: Simplify 0 into 0 19.906 * [backup-simplify]: Simplify 0 into 0 19.906 * [taylor]: Taking taylor expansion of 0 in phi1 19.906 * [backup-simplify]: Simplify 0 into 0 19.906 * [taylor]: Taking taylor expansion of 0 in lambda2 19.906 * [backup-simplify]: Simplify 0 into 0 19.906 * [taylor]: Taking taylor expansion of 0 in lambda1 19.906 * [backup-simplify]: Simplify 0 into 0 19.906 * [backup-simplify]: Simplify 0 into 0 19.906 * [taylor]: Taking taylor expansion of 0 in lambda2 19.906 * [backup-simplify]: Simplify 0 into 0 19.906 * [taylor]: Taking taylor expansion of 0 in lambda1 19.906 * [backup-simplify]: Simplify 0 into 0 19.906 * [backup-simplify]: Simplify 0 into 0 19.907 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 19.908 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi1)) (* (+ (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ 1 phi2)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 19.908 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in (phi2 phi1 lambda2 lambda1) around 0 19.908 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda1 19.909 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 19.909 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda2 19.909 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 19.910 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi1 19.910 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 19.910 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi2 19.911 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 19.911 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi2 19.912 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 19.912 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi1 19.913 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 19.913 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda2 19.913 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 19.913 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda1 19.914 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 19.914 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 19.914 * [taylor]: Taking taylor expansion of 0 in phi1 19.914 * [backup-simplify]: Simplify 0 into 0 19.914 * [taylor]: Taking taylor expansion of 0 in lambda2 19.914 * [backup-simplify]: Simplify 0 into 0 19.914 * [taylor]: Taking taylor expansion of 0 in lambda1 19.914 * [backup-simplify]: Simplify 0 into 0 19.914 * [backup-simplify]: Simplify 0 into 0 19.914 * [taylor]: Taking taylor expansion of 0 in lambda2 19.914 * [backup-simplify]: Simplify 0 into 0 19.914 * [taylor]: Taking taylor expansion of 0 in lambda1 19.914 * [backup-simplify]: Simplify 0 into 0 19.914 * [backup-simplify]: Simplify 0 into 0 19.914 * [taylor]: Taking taylor expansion of 0 in lambda1 19.914 * [backup-simplify]: Simplify 0 into 0 19.914 * [backup-simplify]: Simplify 0 into 0 19.914 * [backup-simplify]: Simplify 0 into 0 19.914 * [taylor]: Taking taylor expansion of 0 in phi1 19.914 * [backup-simplify]: Simplify 0 into 0 19.914 * [taylor]: Taking taylor expansion of 0 in lambda2 19.914 * [backup-simplify]: Simplify 0 into 0 19.914 * [taylor]: Taking taylor expansion of 0 in lambda1 19.914 * [backup-simplify]: Simplify 0 into 0 19.914 * [backup-simplify]: Simplify 0 into 0 19.915 * [taylor]: Taking taylor expansion of 0 in lambda2 19.915 * [backup-simplify]: Simplify 0 into 0 19.915 * [taylor]: Taking taylor expansion of 0 in lambda1 19.915 * [backup-simplify]: Simplify 0 into 0 19.915 * [backup-simplify]: Simplify 0 into 0 19.915 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 19.915 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (cos (/ 1 (- phi1))) (* (+ (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (cos (/ 1 (- phi2))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 19.916 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in (phi2 phi1 lambda2 lambda1) around 0 19.916 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 19.916 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 19.916 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 19.916 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 19.916 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 19.917 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 19.917 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 19.917 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 19.917 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 19.918 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 19.918 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi1 19.918 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 19.918 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 19.919 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 19.919 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda1 19.919 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 19.919 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 19.920 * [taylor]: Taking taylor expansion of 0 in phi1 19.920 * [backup-simplify]: Simplify 0 into 0 19.920 * [taylor]: Taking taylor expansion of 0 in lambda2 19.920 * [backup-simplify]: Simplify 0 into 0 19.920 * [taylor]: Taking taylor expansion of 0 in lambda1 19.920 * [backup-simplify]: Simplify 0 into 0 19.920 * [backup-simplify]: Simplify 0 into 0 19.920 * [taylor]: Taking taylor expansion of 0 in lambda2 19.920 * [backup-simplify]: Simplify 0 into 0 19.920 * [taylor]: Taking taylor expansion of 0 in lambda1 19.920 * [backup-simplify]: Simplify 0 into 0 19.920 * [backup-simplify]: Simplify 0 into 0 19.920 * [taylor]: Taking taylor expansion of 0 in lambda1 19.920 * [backup-simplify]: Simplify 0 into 0 19.920 * [backup-simplify]: Simplify 0 into 0 19.920 * [backup-simplify]: Simplify 0 into 0 19.920 * [taylor]: Taking taylor expansion of 0 in phi1 19.920 * [backup-simplify]: Simplify 0 into 0 19.920 * [taylor]: Taking taylor expansion of 0 in lambda2 19.920 * [backup-simplify]: Simplify 0 into 0 19.920 * [taylor]: Taking taylor expansion of 0 in lambda1 19.920 * [backup-simplify]: Simplify 0 into 0 19.920 * [backup-simplify]: Simplify 0 into 0 19.920 * [taylor]: Taking taylor expansion of 0 in lambda2 19.920 * [backup-simplify]: Simplify 0 into 0 19.920 * [taylor]: Taking taylor expansion of 0 in lambda1 19.920 * [backup-simplify]: Simplify 0 into 0 19.920 * [backup-simplify]: Simplify 0 into 0 19.921 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 19.921 * * * * [progress]: [ 2 / 4 ] generating series at (2) 19.921 * [backup-simplify]: Simplify (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 19.921 * [approximate]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in (R phi2 phi1 lambda2 lambda1) around 0 19.921 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 19.921 * [taylor]: Taking taylor expansion of R in lambda1 19.921 * [backup-simplify]: Simplify R into R 19.921 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 19.921 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 19.921 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 19.921 * [taylor]: Taking taylor expansion of R in lambda2 19.921 * [backup-simplify]: Simplify R into R 19.921 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 19.922 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 19.922 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 19.922 * [taylor]: Taking taylor expansion of R in phi1 19.922 * [backup-simplify]: Simplify R into R 19.922 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 19.922 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 19.922 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 19.922 * [taylor]: Taking taylor expansion of R in phi2 19.922 * [backup-simplify]: Simplify R into R 19.922 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 19.922 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 19.922 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R 19.923 * [taylor]: Taking taylor expansion of R in R 19.923 * [backup-simplify]: Simplify 0 into 0 19.923 * [backup-simplify]: Simplify 1 into 1 19.923 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R 19.923 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 19.923 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R 19.923 * [taylor]: Taking taylor expansion of R in R 19.923 * [backup-simplify]: Simplify 0 into 0 19.923 * [backup-simplify]: Simplify 1 into 1 19.923 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R 19.923 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 19.924 * [backup-simplify]: Simplify (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into 0 19.924 * [taylor]: Taking taylor expansion of 0 in phi2 19.924 * [backup-simplify]: Simplify 0 into 0 19.924 * [taylor]: Taking taylor expansion of 0 in phi1 19.924 * [backup-simplify]: Simplify 0 into 0 19.924 * [taylor]: Taking taylor expansion of 0 in lambda2 19.924 * [backup-simplify]: Simplify 0 into 0 19.924 * [taylor]: Taking taylor expansion of 0 in lambda1 19.924 * [backup-simplify]: Simplify 0 into 0 19.924 * [backup-simplify]: Simplify 0 into 0 19.925 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 19.925 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 19.925 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 19.925 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 19.925 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 19.925 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 19.926 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 19.926 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 19.926 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 19.926 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 19.926 * [taylor]: Taking taylor expansion of 0 in phi1 19.926 * [backup-simplify]: Simplify 0 into 0 19.926 * [taylor]: Taking taylor expansion of 0 in lambda2 19.926 * [backup-simplify]: Simplify 0 into 0 19.926 * [taylor]: Taking taylor expansion of 0 in lambda1 19.926 * [backup-simplify]: Simplify 0 into 0 19.926 * [backup-simplify]: Simplify 0 into 0 19.926 * [taylor]: Taking taylor expansion of 0 in lambda2 19.926 * [backup-simplify]: Simplify 0 into 0 19.926 * [taylor]: Taking taylor expansion of 0 in lambda1 19.926 * [backup-simplify]: Simplify 0 into 0 19.926 * [backup-simplify]: Simplify 0 into 0 19.926 * [taylor]: Taking taylor expansion of 0 in lambda1 19.926 * [backup-simplify]: Simplify 0 into 0 19.926 * [backup-simplify]: Simplify 0 into 0 19.927 * [backup-simplify]: Simplify 0 into 0 19.927 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 19.927 * [taylor]: Taking taylor expansion of 0 in phi2 19.927 * [backup-simplify]: Simplify 0 into 0 19.927 * [taylor]: Taking taylor expansion of 0 in phi1 19.927 * [backup-simplify]: Simplify 0 into 0 19.928 * [taylor]: Taking taylor expansion of 0 in lambda2 19.928 * [backup-simplify]: Simplify 0 into 0 19.928 * [taylor]: Taking taylor expansion of 0 in lambda1 19.928 * [backup-simplify]: Simplify 0 into 0 19.928 * [backup-simplify]: Simplify 0 into 0 19.928 * [taylor]: Taking taylor expansion of 0 in phi1 19.928 * [backup-simplify]: Simplify 0 into 0 19.928 * [taylor]: Taking taylor expansion of 0 in lambda2 19.928 * [backup-simplify]: Simplify 0 into 0 19.928 * [taylor]: Taking taylor expansion of 0 in lambda1 19.928 * [backup-simplify]: Simplify 0 into 0 19.928 * [backup-simplify]: Simplify 0 into 0 19.928 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* 1 (* 1 (* 1 (* 1 R))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 19.928 * [backup-simplify]: Simplify (* (/ 1 R) (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi1)) (* (+ (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ 1 phi2))))))) into (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) 19.929 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in (R phi2 phi1 lambda2 lambda1) around 0 19.929 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in lambda1 19.929 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda1 19.929 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 19.929 * [taylor]: Taking taylor expansion of R in lambda1 19.929 * [backup-simplify]: Simplify R into R 19.929 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) 19.929 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in lambda2 19.929 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda2 19.930 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 19.930 * [taylor]: Taking taylor expansion of R in lambda2 19.930 * [backup-simplify]: Simplify R into R 19.930 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) 19.930 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in phi1 19.930 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi1 19.931 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 19.931 * [taylor]: Taking taylor expansion of R in phi1 19.931 * [backup-simplify]: Simplify R into R 19.931 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) 19.931 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in phi2 19.931 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi2 19.932 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 19.932 * [taylor]: Taking taylor expansion of R in phi2 19.932 * [backup-simplify]: Simplify R into R 19.932 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) 19.932 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in R 19.932 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in R 19.933 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 19.933 * [taylor]: Taking taylor expansion of R in R 19.933 * [backup-simplify]: Simplify 0 into 0 19.933 * [backup-simplify]: Simplify 1 into 1 19.933 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 1) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 19.933 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in R 19.933 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in R 19.934 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 19.934 * [taylor]: Taking taylor expansion of R in R 19.934 * [backup-simplify]: Simplify 0 into 0 19.934 * [backup-simplify]: Simplify 1 into 1 19.934 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 1) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 19.934 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi2 19.935 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 19.935 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi1 19.935 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 19.935 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda2 19.935 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 19.936 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda1 19.936 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 19.936 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 19.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) (/ 0 1)))) into 0 19.938 * [taylor]: Taking taylor expansion of 0 in phi2 19.938 * [backup-simplify]: Simplify 0 into 0 19.938 * [taylor]: Taking taylor expansion of 0 in phi1 19.938 * [backup-simplify]: Simplify 0 into 0 19.938 * [taylor]: Taking taylor expansion of 0 in lambda2 19.938 * [backup-simplify]: Simplify 0 into 0 19.938 * [taylor]: Taking taylor expansion of 0 in lambda1 19.938 * [backup-simplify]: Simplify 0 into 0 19.938 * [backup-simplify]: Simplify 0 into 0 19.938 * [taylor]: Taking taylor expansion of 0 in phi1 19.938 * [backup-simplify]: Simplify 0 into 0 19.938 * [taylor]: Taking taylor expansion of 0 in lambda2 19.938 * [backup-simplify]: Simplify 0 into 0 19.938 * [taylor]: Taking taylor expansion of 0 in lambda1 19.938 * [backup-simplify]: Simplify 0 into 0 19.938 * [backup-simplify]: Simplify 0 into 0 19.938 * [taylor]: Taking taylor expansion of 0 in lambda2 19.938 * [backup-simplify]: Simplify 0 into 0 19.938 * [taylor]: Taking taylor expansion of 0 in lambda1 19.938 * [backup-simplify]: Simplify 0 into 0 19.938 * [backup-simplify]: Simplify 0 into 0 19.938 * [taylor]: Taking taylor expansion of 0 in lambda1 19.938 * [backup-simplify]: Simplify 0 into 0 19.938 * [backup-simplify]: Simplify 0 into 0 19.938 * [backup-simplify]: Simplify 0 into 0 19.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.939 * [taylor]: Taking taylor expansion of 0 in phi2 19.939 * [backup-simplify]: Simplify 0 into 0 19.939 * [taylor]: Taking taylor expansion of 0 in phi1 19.939 * [backup-simplify]: Simplify 0 into 0 19.939 * [taylor]: Taking taylor expansion of 0 in lambda2 19.939 * [backup-simplify]: Simplify 0 into 0 19.940 * [taylor]: Taking taylor expansion of 0 in lambda1 19.940 * [backup-simplify]: Simplify 0 into 0 19.940 * [backup-simplify]: Simplify 0 into 0 19.940 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1))))))) (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 R))))))) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 19.941 * [backup-simplify]: Simplify (* (/ 1 (- R)) (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (cos (/ 1 (- phi1))) (* (+ (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (cos (/ 1 (- phi2)))))))) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 19.941 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in (R phi2 phi1 lambda2 lambda1) around 0 19.941 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1 19.941 * [taylor]: Taking taylor expansion of -1 in lambda1 19.941 * [backup-simplify]: Simplify -1 into -1 19.941 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1 19.941 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 19.942 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 19.942 * [taylor]: Taking taylor expansion of R in lambda1 19.942 * [backup-simplify]: Simplify R into R 19.946 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 19.946 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda2 19.946 * [taylor]: Taking taylor expansion of -1 in lambda2 19.946 * [backup-simplify]: Simplify -1 into -1 19.946 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda2 19.946 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 19.947 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 19.947 * [taylor]: Taking taylor expansion of R in lambda2 19.947 * [backup-simplify]: Simplify R into R 19.948 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 19.948 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1 19.948 * [taylor]: Taking taylor expansion of -1 in phi1 19.948 * [backup-simplify]: Simplify -1 into -1 19.948 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1 19.948 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 19.949 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 19.949 * [taylor]: Taking taylor expansion of R in phi1 19.949 * [backup-simplify]: Simplify R into R 19.950 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 19.950 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi2 19.950 * [taylor]: Taking taylor expansion of -1 in phi2 19.950 * [backup-simplify]: Simplify -1 into -1 19.950 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi2 19.950 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 19.950 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 19.951 * [taylor]: Taking taylor expansion of R in phi2 19.951 * [backup-simplify]: Simplify R into R 19.951 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 19.951 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R 19.951 * [taylor]: Taking taylor expansion of -1 in R 19.951 * [backup-simplify]: Simplify -1 into -1 19.952 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R 19.952 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R 19.952 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 19.952 * [taylor]: Taking taylor expansion of R in R 19.952 * [backup-simplify]: Simplify 0 into 0 19.952 * [backup-simplify]: Simplify 1 into 1 19.953 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 19.953 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R 19.953 * [taylor]: Taking taylor expansion of -1 in R 19.953 * [backup-simplify]: Simplify -1 into -1 19.953 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R 19.953 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R 19.954 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 19.954 * [taylor]: Taking taylor expansion of R in R 19.954 * [backup-simplify]: Simplify 0 into 0 19.954 * [backup-simplify]: Simplify 1 into 1 19.955 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 19.956 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) 19.956 * [taylor]: Taking taylor expansion of (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) in phi2 19.956 * [taylor]: Taking taylor expansion of -1 in phi2 19.956 * [backup-simplify]: Simplify -1 into -1 19.956 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 19.957 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 19.958 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) 19.958 * [taylor]: Taking taylor expansion of (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) in phi1 19.958 * [taylor]: Taking taylor expansion of -1 in phi1 19.958 * [backup-simplify]: Simplify -1 into -1 19.958 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi1 19.959 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 19.960 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) 19.960 * [taylor]: Taking taylor expansion of (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) in lambda2 19.960 * [taylor]: Taking taylor expansion of -1 in lambda2 19.960 * [backup-simplify]: Simplify -1 into -1 19.960 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 19.961 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 19.962 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) 19.962 * [taylor]: Taking taylor expansion of (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) in lambda1 19.962 * [taylor]: Taking taylor expansion of -1 in lambda1 19.962 * [backup-simplify]: Simplify -1 into -1 19.962 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda1 19.963 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 19.964 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) 19.965 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 19.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)))) into 0 19.968 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into 0 19.968 * [taylor]: Taking taylor expansion of 0 in phi2 19.968 * [backup-simplify]: Simplify 0 into 0 19.968 * [taylor]: Taking taylor expansion of 0 in phi1 19.968 * [backup-simplify]: Simplify 0 into 0 19.968 * [taylor]: Taking taylor expansion of 0 in lambda2 19.968 * [backup-simplify]: Simplify 0 into 0 19.968 * [taylor]: Taking taylor expansion of 0 in lambda1 19.968 * [backup-simplify]: Simplify 0 into 0 19.968 * [backup-simplify]: Simplify 0 into 0 19.969 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into 0 19.969 * [taylor]: Taking taylor expansion of 0 in phi1 19.969 * [backup-simplify]: Simplify 0 into 0 19.969 * [taylor]: Taking taylor expansion of 0 in lambda2 19.969 * [backup-simplify]: Simplify 0 into 0 19.969 * [taylor]: Taking taylor expansion of 0 in lambda1 19.969 * [backup-simplify]: Simplify 0 into 0 19.969 * [backup-simplify]: Simplify 0 into 0 19.970 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into 0 19.970 * [taylor]: Taking taylor expansion of 0 in lambda2 19.970 * [backup-simplify]: Simplify 0 into 0 19.970 * [taylor]: Taking taylor expansion of 0 in lambda1 19.970 * [backup-simplify]: Simplify 0 into 0 19.970 * [backup-simplify]: Simplify 0 into 0 19.971 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into 0 19.971 * [taylor]: Taking taylor expansion of 0 in lambda1 19.971 * [backup-simplify]: Simplify 0 into 0 19.971 * [backup-simplify]: Simplify 0 into 0 19.971 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into 0 19.971 * [backup-simplify]: Simplify 0 into 0 19.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.974 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))))) into 0 19.974 * [taylor]: Taking taylor expansion of 0 in phi2 19.974 * [backup-simplify]: Simplify 0 into 0 19.974 * [taylor]: Taking taylor expansion of 0 in phi1 19.974 * [backup-simplify]: Simplify 0 into 0 19.974 * [taylor]: Taking taylor expansion of 0 in lambda2 19.974 * [backup-simplify]: Simplify 0 into 0 19.974 * [taylor]: Taking taylor expansion of 0 in lambda1 19.974 * [backup-simplify]: Simplify 0 into 0 19.974 * [backup-simplify]: Simplify 0 into 0 19.975 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))))))) (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 (- R)))))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 19.975 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 19.975 * [backup-simplify]: Simplify (* (sin phi2) (sin phi1)) into (* (sin phi1) (sin phi2)) 19.975 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi2 phi1) around 0 19.975 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 19.975 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 19.975 * [taylor]: Taking taylor expansion of phi1 in phi1 19.975 * [backup-simplify]: Simplify 0 into 0 19.975 * [backup-simplify]: Simplify 1 into 1 19.975 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 19.975 * [taylor]: Taking taylor expansion of phi2 in phi1 19.975 * [backup-simplify]: Simplify phi2 into phi2 19.975 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 19.975 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 19.975 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 19.975 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 19.975 * [taylor]: Taking taylor expansion of phi1 in phi2 19.975 * [backup-simplify]: Simplify phi1 into phi1 19.975 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 19.975 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 19.975 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 19.975 * [taylor]: Taking taylor expansion of phi2 in phi2 19.975 * [backup-simplify]: Simplify 0 into 0 19.975 * [backup-simplify]: Simplify 1 into 1 19.975 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 19.975 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 19.975 * [taylor]: Taking taylor expansion of phi1 in phi2 19.975 * [backup-simplify]: Simplify phi1 into phi1 19.976 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 19.976 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 19.976 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 19.976 * [taylor]: Taking taylor expansion of phi2 in phi2 19.976 * [backup-simplify]: Simplify 0 into 0 19.976 * [backup-simplify]: Simplify 1 into 1 19.976 * [backup-simplify]: Simplify (* (sin phi1) 1) into (sin phi1) 19.976 * [backup-simplify]: Simplify (* (cos phi1) 0) into 0 19.976 * [backup-simplify]: Simplify (+ (sin phi1) 0) into (sin phi1) 19.976 * [backup-simplify]: Simplify (* (sin phi1) 0) into 0 19.976 * [taylor]: Taking taylor expansion of 0 in phi1 19.976 * [backup-simplify]: Simplify 0 into 0 19.976 * [backup-simplify]: Simplify 0 into 0 19.976 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 19.977 * [backup-simplify]: Simplify (+ 0) into 0 19.977 * [backup-simplify]: Simplify (+ (* (sin phi1) 0) (* 0 1)) into 0 19.977 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.978 * [backup-simplify]: Simplify (+ (* (cos phi1) 0) (* 0 0)) into 0 19.978 * [backup-simplify]: Simplify (+ 0 0) into 0 19.978 * [backup-simplify]: Simplify (+ (* (sin phi1) 1) (* 0 0)) into (sin phi1) 19.978 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 19.978 * [taylor]: Taking taylor expansion of phi1 in phi1 19.978 * [backup-simplify]: Simplify 0 into 0 19.978 * [backup-simplify]: Simplify 1 into 1 19.978 * [backup-simplify]: Simplify 0 into 0 19.978 * [backup-simplify]: Simplify 0 into 0 19.979 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.979 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.980 * [backup-simplify]: Simplify (+ (* (sin phi1) 0) (+ (* 0 0) (* 0 1))) into 0 19.980 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.981 * [backup-simplify]: Simplify (+ (* (cos phi1) 0) (+ (* 0 0) (* 0 0))) into 0 19.981 * [backup-simplify]: Simplify (+ 0 0) into 0 19.981 * [backup-simplify]: Simplify (+ (* (sin phi1) 0) (+ (* 0 1) (* 0 0))) into 0 19.981 * [taylor]: Taking taylor expansion of 0 in phi1 19.981 * [backup-simplify]: Simplify 0 into 0 19.981 * [backup-simplify]: Simplify 0 into 0 19.982 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 19.982 * [backup-simplify]: Simplify 1 into 1 19.982 * [backup-simplify]: Simplify 0 into 0 19.983 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 19.983 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 19.984 * [backup-simplify]: Simplify (+ (* (sin phi1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.985 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 19.985 * [backup-simplify]: Simplify (+ (* (cos phi1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 19.985 * [backup-simplify]: Simplify (+ 0 0) into 0 19.986 * [backup-simplify]: Simplify (+ (* (sin phi1) -1/6) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into (- (* 1/6 (sin phi1))) 19.986 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi1))) in phi1 19.986 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi1)) in phi1 19.986 * [taylor]: Taking taylor expansion of 1/6 in phi1 19.986 * [backup-simplify]: Simplify 1/6 into 1/6 19.986 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 19.986 * [taylor]: Taking taylor expansion of phi1 in phi1 19.986 * [backup-simplify]: Simplify 0 into 0 19.986 * [backup-simplify]: Simplify 1 into 1 19.986 * [backup-simplify]: Simplify (* 1/6 0) into 0 19.986 * [backup-simplify]: Simplify (- 0) into 0 19.986 * [backup-simplify]: Simplify 0 into 0 19.986 * [backup-simplify]: Simplify 0 into 0 19.987 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.987 * [backup-simplify]: Simplify 0 into 0 19.987 * [backup-simplify]: Simplify 0 into 0 19.988 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 19.989 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 19.990 * [backup-simplify]: Simplify (+ (* (sin phi1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.991 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 19.991 * [backup-simplify]: Simplify (+ (* (cos phi1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 19.991 * [backup-simplify]: Simplify (+ 0 0) into 0 19.992 * [backup-simplify]: Simplify (+ (* (sin phi1) 0) (+ (* 0 -1/6) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 19.992 * [taylor]: Taking taylor expansion of 0 in phi1 19.992 * [backup-simplify]: Simplify 0 into 0 19.992 * [backup-simplify]: Simplify 0 into 0 19.992 * [backup-simplify]: Simplify (* 1 (* phi1 phi2)) into (* phi1 phi2) 19.992 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 19.992 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi2 phi1) around 0 19.992 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 19.992 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 19.992 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 19.992 * [taylor]: Taking taylor expansion of phi2 in phi1 19.992 * [backup-simplify]: Simplify phi2 into phi2 19.992 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 19.992 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 19.992 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 19.992 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 19.992 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 19.992 * [taylor]: Taking taylor expansion of phi1 in phi1 19.992 * [backup-simplify]: Simplify 0 into 0 19.992 * [backup-simplify]: Simplify 1 into 1 19.993 * [backup-simplify]: Simplify (/ 1 1) into 1 19.993 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 19.993 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 19.993 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 19.993 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 19.993 * [taylor]: Taking taylor expansion of phi2 in phi2 19.993 * [backup-simplify]: Simplify 0 into 0 19.993 * [backup-simplify]: Simplify 1 into 1 19.993 * [backup-simplify]: Simplify (/ 1 1) into 1 19.993 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 19.993 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 19.993 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 19.993 * [taylor]: Taking taylor expansion of phi1 in phi2 19.993 * [backup-simplify]: Simplify phi1 into phi1 19.993 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 19.993 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 19.993 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 19.993 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 19.993 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 19.993 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 19.993 * [taylor]: Taking taylor expansion of phi2 in phi2 19.993 * [backup-simplify]: Simplify 0 into 0 19.993 * [backup-simplify]: Simplify 1 into 1 19.994 * [backup-simplify]: Simplify (/ 1 1) into 1 19.994 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 19.994 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 19.994 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 19.994 * [taylor]: Taking taylor expansion of phi1 in phi2 19.994 * [backup-simplify]: Simplify phi1 into phi1 19.994 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 19.994 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 19.994 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 19.994 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 19.994 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 19.994 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 19.994 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 19.994 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 19.994 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 19.994 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 19.994 * [taylor]: Taking taylor expansion of phi2 in phi1 19.994 * [backup-simplify]: Simplify phi2 into phi2 19.994 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 19.994 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 19.994 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 19.994 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 19.994 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 19.994 * [taylor]: Taking taylor expansion of phi1 in phi1 19.994 * [backup-simplify]: Simplify 0 into 0 19.994 * [backup-simplify]: Simplify 1 into 1 19.995 * [backup-simplify]: Simplify (/ 1 1) into 1 19.995 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 19.995 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 19.995 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 19.995 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 19.995 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 19.995 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 19.995 * [backup-simplify]: Simplify (+ 0) into 0 19.996 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 19.996 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 19.996 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.997 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 19.997 * [backup-simplify]: Simplify (+ 0 0) into 0 19.997 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 19.997 * [taylor]: Taking taylor expansion of 0 in phi1 19.997 * [backup-simplify]: Simplify 0 into 0 19.997 * [backup-simplify]: Simplify 0 into 0 19.998 * [backup-simplify]: Simplify (+ 0) into 0 19.998 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 19.998 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 19.999 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.000 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 20.000 * [backup-simplify]: Simplify (+ 0 0) into 0 20.000 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 20.000 * [backup-simplify]: Simplify 0 into 0 20.001 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.002 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 20.002 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 20.003 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.003 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 20.004 * [backup-simplify]: Simplify (+ 0 0) into 0 20.004 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 20.004 * [taylor]: Taking taylor expansion of 0 in phi1 20.004 * [backup-simplify]: Simplify 0 into 0 20.004 * [backup-simplify]: Simplify 0 into 0 20.004 * [backup-simplify]: Simplify 0 into 0 20.005 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.006 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 20.006 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 20.007 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.007 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 20.008 * [backup-simplify]: Simplify (+ 0 0) into 0 20.008 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 20.008 * [backup-simplify]: Simplify 0 into 0 20.009 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 20.010 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 20.012 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 20.013 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 20.013 * [backup-simplify]: Simplify (+ 0 0) into 0 20.014 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0 20.014 * [taylor]: Taking taylor expansion of 0 in phi1 20.014 * [backup-simplify]: Simplify 0 into 0 20.014 * [backup-simplify]: Simplify 0 into 0 20.014 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2)) 20.015 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 20.015 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi2 phi1) around 0 20.015 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 20.015 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 20.015 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 20.015 * [taylor]: Taking taylor expansion of -1 in phi1 20.015 * [backup-simplify]: Simplify -1 into -1 20.015 * [taylor]: Taking taylor expansion of phi1 in phi1 20.015 * [backup-simplify]: Simplify 0 into 0 20.015 * [backup-simplify]: Simplify 1 into 1 20.015 * [backup-simplify]: Simplify (/ -1 1) into -1 20.015 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 20.015 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 20.015 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 20.015 * [taylor]: Taking taylor expansion of -1 in phi1 20.016 * [backup-simplify]: Simplify -1 into -1 20.016 * [taylor]: Taking taylor expansion of phi2 in phi1 20.016 * [backup-simplify]: Simplify phi2 into phi2 20.016 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 20.016 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 20.016 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 20.016 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 20.016 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 20.016 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 20.016 * [taylor]: Taking taylor expansion of -1 in phi2 20.016 * [backup-simplify]: Simplify -1 into -1 20.016 * [taylor]: Taking taylor expansion of phi1 in phi2 20.016 * [backup-simplify]: Simplify phi1 into phi1 20.016 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 20.016 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 20.016 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 20.016 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 20.016 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 20.016 * [taylor]: Taking taylor expansion of -1 in phi2 20.016 * [backup-simplify]: Simplify -1 into -1 20.016 * [taylor]: Taking taylor expansion of phi2 in phi2 20.016 * [backup-simplify]: Simplify 0 into 0 20.016 * [backup-simplify]: Simplify 1 into 1 20.017 * [backup-simplify]: Simplify (/ -1 1) into -1 20.017 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 20.017 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 20.017 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 20.017 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 20.017 * [taylor]: Taking taylor expansion of -1 in phi2 20.017 * [backup-simplify]: Simplify -1 into -1 20.017 * [taylor]: Taking taylor expansion of phi1 in phi2 20.017 * [backup-simplify]: Simplify phi1 into phi1 20.017 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 20.017 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 20.017 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 20.017 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 20.017 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 20.017 * [taylor]: Taking taylor expansion of -1 in phi2 20.017 * [backup-simplify]: Simplify -1 into -1 20.018 * [taylor]: Taking taylor expansion of phi2 in phi2 20.018 * [backup-simplify]: Simplify 0 into 0 20.018 * [backup-simplify]: Simplify 1 into 1 20.018 * [backup-simplify]: Simplify (/ -1 1) into -1 20.018 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 20.018 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 20.019 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 20.019 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 20.019 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 20.019 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 20.019 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 20.019 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 20.019 * [taylor]: Taking taylor expansion of -1 in phi1 20.019 * [backup-simplify]: Simplify -1 into -1 20.019 * [taylor]: Taking taylor expansion of phi1 in phi1 20.019 * [backup-simplify]: Simplify 0 into 0 20.019 * [backup-simplify]: Simplify 1 into 1 20.019 * [backup-simplify]: Simplify (/ -1 1) into -1 20.020 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 20.020 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 20.020 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 20.020 * [taylor]: Taking taylor expansion of -1 in phi1 20.020 * [backup-simplify]: Simplify -1 into -1 20.020 * [taylor]: Taking taylor expansion of phi2 in phi1 20.020 * [backup-simplify]: Simplify phi2 into phi2 20.020 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 20.020 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 20.020 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 20.020 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 20.020 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 20.020 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 20.020 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 20.020 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 20.021 * [backup-simplify]: Simplify (+ 0) into 0 20.021 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 20.022 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 20.022 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.023 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 20.023 * [backup-simplify]: Simplify (+ 0 0) into 0 20.023 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 20.023 * [taylor]: Taking taylor expansion of 0 in phi1 20.023 * [backup-simplify]: Simplify 0 into 0 20.023 * [backup-simplify]: Simplify 0 into 0 20.024 * [backup-simplify]: Simplify (+ 0) into 0 20.024 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 20.024 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 20.025 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.025 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 20.025 * [backup-simplify]: Simplify (+ 0 0) into 0 20.026 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 20.026 * [backup-simplify]: Simplify 0 into 0 20.026 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.027 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 20.027 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 20.027 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.027 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 20.028 * [backup-simplify]: Simplify (+ 0 0) into 0 20.028 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 20.028 * [taylor]: Taking taylor expansion of 0 in phi1 20.028 * [backup-simplify]: Simplify 0 into 0 20.028 * [backup-simplify]: Simplify 0 into 0 20.028 * [backup-simplify]: Simplify 0 into 0 20.029 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.029 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 20.029 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 20.030 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.030 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 20.030 * [backup-simplify]: Simplify (+ 0 0) into 0 20.031 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 20.031 * [backup-simplify]: Simplify 0 into 0 20.031 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 20.032 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.032 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 20.033 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 20.033 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 20.033 * [backup-simplify]: Simplify (+ 0 0) into 0 20.034 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 20.034 * [taylor]: Taking taylor expansion of 0 in phi1 20.034 * [backup-simplify]: Simplify 0 into 0 20.034 * [backup-simplify]: Simplify 0 into 0 20.034 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 20.034 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2 1 2) 20.034 * [backup-simplify]: Simplify (* (sin lambda1) (sin lambda2)) into (* (sin lambda1) (sin lambda2)) 20.034 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 20.034 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 20.034 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 20.034 * [taylor]: Taking taylor expansion of lambda1 in lambda2 20.034 * [backup-simplify]: Simplify lambda1 into lambda1 20.034 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 20.034 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 20.034 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 20.034 * [taylor]: Taking taylor expansion of lambda2 in lambda2 20.034 * [backup-simplify]: Simplify 0 into 0 20.034 * [backup-simplify]: Simplify 1 into 1 20.034 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 20.034 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 20.034 * [taylor]: Taking taylor expansion of lambda1 in lambda1 20.034 * [backup-simplify]: Simplify 0 into 0 20.034 * [backup-simplify]: Simplify 1 into 1 20.034 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 20.035 * [taylor]: Taking taylor expansion of lambda2 in lambda1 20.035 * [backup-simplify]: Simplify lambda2 into lambda2 20.035 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 20.035 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 20.035 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 20.035 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 20.035 * [taylor]: Taking taylor expansion of lambda1 in lambda1 20.035 * [backup-simplify]: Simplify 0 into 0 20.035 * [backup-simplify]: Simplify 1 into 1 20.035 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 20.035 * [taylor]: Taking taylor expansion of lambda2 in lambda1 20.035 * [backup-simplify]: Simplify lambda2 into lambda2 20.035 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 20.035 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 20.035 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 20.035 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 20.035 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 20.035 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0 20.035 * [taylor]: Taking taylor expansion of 0 in lambda2 20.035 * [backup-simplify]: Simplify 0 into 0 20.035 * [backup-simplify]: Simplify 0 into 0 20.035 * [backup-simplify]: Simplify (+ 0) into 0 20.036 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 20.036 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.036 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 20.037 * [backup-simplify]: Simplify (+ 0 0) into 0 20.037 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 20.037 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2) 20.037 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 20.037 * [taylor]: Taking taylor expansion of lambda2 in lambda2 20.037 * [backup-simplify]: Simplify 0 into 0 20.037 * [backup-simplify]: Simplify 1 into 1 20.037 * [backup-simplify]: Simplify 0 into 0 20.037 * [backup-simplify]: Simplify 0 into 0 20.038 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.038 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 20.039 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.039 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 20.039 * [backup-simplify]: Simplify (+ 0 0) into 0 20.040 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.040 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0 20.040 * [taylor]: Taking taylor expansion of 0 in lambda2 20.040 * [backup-simplify]: Simplify 0 into 0 20.040 * [backup-simplify]: Simplify 0 into 0 20.041 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 20.041 * [backup-simplify]: Simplify 1 into 1 20.041 * [backup-simplify]: Simplify 0 into 0 20.041 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 20.042 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.043 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 20.043 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 20.043 * [backup-simplify]: Simplify (+ 0 0) into 0 20.044 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 20.045 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda2))))) into (- (* 1/6 (sin lambda2))) 20.045 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 20.045 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 20.045 * [taylor]: Taking taylor expansion of 1/6 in lambda2 20.045 * [backup-simplify]: Simplify 1/6 into 1/6 20.045 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 20.045 * [taylor]: Taking taylor expansion of lambda2 in lambda2 20.045 * [backup-simplify]: Simplify 0 into 0 20.045 * [backup-simplify]: Simplify 1 into 1 20.045 * [backup-simplify]: Simplify (* 1/6 0) into 0 20.046 * [backup-simplify]: Simplify (- 0) into 0 20.046 * [backup-simplify]: Simplify 0 into 0 20.046 * [backup-simplify]: Simplify 0 into 0 20.046 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.046 * [backup-simplify]: Simplify 0 into 0 20.046 * [backup-simplify]: Simplify 0 into 0 20.047 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 20.048 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 20.049 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 20.049 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 20.050 * [backup-simplify]: Simplify (+ 0 0) into 0 20.050 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 20.055 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda2)))))) into 0 20.055 * [taylor]: Taking taylor expansion of 0 in lambda2 20.055 * [backup-simplify]: Simplify 0 into 0 20.055 * [backup-simplify]: Simplify 0 into 0 20.055 * [backup-simplify]: Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1) 20.055 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 20.055 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in (lambda1 lambda2) around 0 20.055 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 20.055 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 20.055 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 20.055 * [taylor]: Taking taylor expansion of lambda2 in lambda2 20.055 * [backup-simplify]: Simplify 0 into 0 20.055 * [backup-simplify]: Simplify 1 into 1 20.056 * [backup-simplify]: Simplify (/ 1 1) into 1 20.056 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 20.056 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 20.056 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 20.056 * [taylor]: Taking taylor expansion of lambda1 in lambda2 20.056 * [backup-simplify]: Simplify lambda1 into lambda1 20.056 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 20.056 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 20.056 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 20.056 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 20.056 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 20.056 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 20.056 * [taylor]: Taking taylor expansion of lambda2 in lambda1 20.056 * [backup-simplify]: Simplify lambda2 into lambda2 20.056 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 20.056 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 20.056 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 20.056 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 20.056 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 20.056 * [taylor]: Taking taylor expansion of lambda1 in lambda1 20.056 * [backup-simplify]: Simplify 0 into 0 20.056 * [backup-simplify]: Simplify 1 into 1 20.057 * [backup-simplify]: Simplify (/ 1 1) into 1 20.057 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 20.057 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 20.057 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 20.057 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 20.057 * [taylor]: Taking taylor expansion of lambda2 in lambda1 20.057 * [backup-simplify]: Simplify lambda2 into lambda2 20.057 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 20.057 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 20.057 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 20.057 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 20.057 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 20.057 * [taylor]: Taking taylor expansion of lambda1 in lambda1 20.057 * [backup-simplify]: Simplify 0 into 0 20.057 * [backup-simplify]: Simplify 1 into 1 20.058 * [backup-simplify]: Simplify (/ 1 1) into 1 20.058 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 20.058 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 20.058 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 20.058 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 20.058 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 20.058 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 20.058 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 20.058 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 20.058 * [taylor]: Taking taylor expansion of lambda2 in lambda2 20.058 * [backup-simplify]: Simplify 0 into 0 20.058 * [backup-simplify]: Simplify 1 into 1 20.059 * [backup-simplify]: Simplify (/ 1 1) into 1 20.059 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 20.059 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 20.059 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 20.059 * [taylor]: Taking taylor expansion of lambda1 in lambda2 20.059 * [backup-simplify]: Simplify lambda1 into lambda1 20.059 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 20.060 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 20.060 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 20.060 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 20.060 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 20.060 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 20.060 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 20.060 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 20.061 * [backup-simplify]: Simplify (+ 0) into 0 20.061 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 20.061 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 20.062 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.063 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 20.063 * [backup-simplify]: Simplify (+ 0 0) into 0 20.063 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 20.063 * [taylor]: Taking taylor expansion of 0 in lambda2 20.063 * [backup-simplify]: Simplify 0 into 0 20.063 * [backup-simplify]: Simplify 0 into 0 20.064 * [backup-simplify]: Simplify (+ 0) into 0 20.064 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 20.064 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 20.065 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.066 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 20.066 * [backup-simplify]: Simplify (+ 0 0) into 0 20.066 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 20.066 * [backup-simplify]: Simplify 0 into 0 20.067 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.068 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 20.068 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 20.069 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.069 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 20.070 * [backup-simplify]: Simplify (+ 0 0) into 0 20.070 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 20.070 * [taylor]: Taking taylor expansion of 0 in lambda2 20.070 * [backup-simplify]: Simplify 0 into 0 20.070 * [backup-simplify]: Simplify 0 into 0 20.071 * [backup-simplify]: Simplify 0 into 0 20.071 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.072 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 20.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 20.074 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.074 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 20.075 * [backup-simplify]: Simplify (+ 0 0) into 0 20.075 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 20.075 * [backup-simplify]: Simplify 0 into 0 20.076 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 20.077 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.077 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 20.079 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 20.079 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 20.080 * [backup-simplify]: Simplify (+ 0 0) into 0 20.081 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0 20.081 * [taylor]: Taking taylor expansion of 0 in lambda2 20.081 * [backup-simplify]: Simplify 0 into 0 20.081 * [backup-simplify]: Simplify 0 into 0 20.081 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))) into (* (sin lambda2) (sin lambda1)) 20.081 * [backup-simplify]: Simplify (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 20.081 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 20.081 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 20.081 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 20.081 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 20.081 * [taylor]: Taking taylor expansion of -1 in lambda2 20.081 * [backup-simplify]: Simplify -1 into -1 20.081 * [taylor]: Taking taylor expansion of lambda1 in lambda2 20.082 * [backup-simplify]: Simplify lambda1 into lambda1 20.082 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 20.082 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 20.082 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 20.082 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 20.082 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 20.082 * [taylor]: Taking taylor expansion of -1 in lambda2 20.082 * [backup-simplify]: Simplify -1 into -1 20.082 * [taylor]: Taking taylor expansion of lambda2 in lambda2 20.082 * [backup-simplify]: Simplify 0 into 0 20.082 * [backup-simplify]: Simplify 1 into 1 20.082 * [backup-simplify]: Simplify (/ -1 1) into -1 20.082 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 20.082 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 20.083 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 20.083 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 20.083 * [taylor]: Taking taylor expansion of -1 in lambda1 20.083 * [backup-simplify]: Simplify -1 into -1 20.083 * [taylor]: Taking taylor expansion of lambda1 in lambda1 20.083 * [backup-simplify]: Simplify 0 into 0 20.083 * [backup-simplify]: Simplify 1 into 1 20.083 * [backup-simplify]: Simplify (/ -1 1) into -1 20.083 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 20.083 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 20.083 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 20.083 * [taylor]: Taking taylor expansion of -1 in lambda1 20.083 * [backup-simplify]: Simplify -1 into -1 20.083 * [taylor]: Taking taylor expansion of lambda2 in lambda1 20.083 * [backup-simplify]: Simplify lambda2 into lambda2 20.083 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 20.083 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 20.084 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 20.084 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 20.084 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 20.084 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 20.084 * [taylor]: Taking taylor expansion of -1 in lambda1 20.084 * [backup-simplify]: Simplify -1 into -1 20.084 * [taylor]: Taking taylor expansion of lambda1 in lambda1 20.084 * [backup-simplify]: Simplify 0 into 0 20.084 * [backup-simplify]: Simplify 1 into 1 20.084 * [backup-simplify]: Simplify (/ -1 1) into -1 20.084 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 20.084 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 20.084 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 20.084 * [taylor]: Taking taylor expansion of -1 in lambda1 20.084 * [backup-simplify]: Simplify -1 into -1 20.084 * [taylor]: Taking taylor expansion of lambda2 in lambda1 20.084 * [backup-simplify]: Simplify lambda2 into lambda2 20.085 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 20.085 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 20.085 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 20.085 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 20.085 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 20.085 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 20.085 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 20.085 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 20.085 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 20.085 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 20.085 * [taylor]: Taking taylor expansion of -1 in lambda2 20.085 * [backup-simplify]: Simplify -1 into -1 20.085 * [taylor]: Taking taylor expansion of lambda1 in lambda2 20.085 * [backup-simplify]: Simplify lambda1 into lambda1 20.085 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 20.085 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 20.085 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 20.086 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 20.086 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 20.086 * [taylor]: Taking taylor expansion of -1 in lambda2 20.086 * [backup-simplify]: Simplify -1 into -1 20.086 * [taylor]: Taking taylor expansion of lambda2 in lambda2 20.086 * [backup-simplify]: Simplify 0 into 0 20.086 * [backup-simplify]: Simplify 1 into 1 20.086 * [backup-simplify]: Simplify (/ -1 1) into -1 20.086 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 20.086 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 20.086 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 20.086 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 20.087 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 20.087 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 20.087 * [backup-simplify]: Simplify (+ 0) into 0 20.088 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 20.088 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 20.089 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.089 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 20.089 * [backup-simplify]: Simplify (+ 0 0) into 0 20.090 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 20.090 * [taylor]: Taking taylor expansion of 0 in lambda2 20.090 * [backup-simplify]: Simplify 0 into 0 20.090 * [backup-simplify]: Simplify 0 into 0 20.090 * [backup-simplify]: Simplify (+ 0) into 0 20.091 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 20.091 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 20.091 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.092 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 20.092 * [backup-simplify]: Simplify (+ 0 0) into 0 20.093 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 20.093 * [backup-simplify]: Simplify 0 into 0 20.094 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.094 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 20.094 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 20.095 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.096 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 20.096 * [backup-simplify]: Simplify (+ 0 0) into 0 20.097 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 20.097 * [taylor]: Taking taylor expansion of 0 in lambda2 20.097 * [backup-simplify]: Simplify 0 into 0 20.097 * [backup-simplify]: Simplify 0 into 0 20.097 * [backup-simplify]: Simplify 0 into 0 20.098 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.098 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 20.099 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 20.099 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.100 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 20.100 * [backup-simplify]: Simplify (+ 0 0) into 0 20.101 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 20.101 * [backup-simplify]: Simplify 0 into 0 20.102 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 20.103 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.103 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 20.104 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 20.105 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 20.105 * [backup-simplify]: Simplify (+ 0 0) into 0 20.106 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 20.106 * [taylor]: Taking taylor expansion of 0 in lambda2 20.106 * [backup-simplify]: Simplify 0 into 0 20.106 * [backup-simplify]: Simplify 0 into 0 20.107 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2)) 20.107 * * * [progress]: simplifying candidates 20.107 * * * * [progress]: [ 1 / 80 ] simplifiying candidate # 20.107 * [simplify]: Simplifying (/ PI 2) 20.107 * * [simplify]: iters left: 2 (3 enodes) 20.109 * * [simplify]: iters left: 1 (9 enodes) 20.110 * * [simplify]: Extracting #0: cost 1 inf + 0 20.110 * * [simplify]: Extracting #1: cost 4 inf + 0 20.110 * * [simplify]: Extracting #2: cost 2 inf + 2 20.110 * * [simplify]: Extracting #3: cost 0 inf + 86 20.110 * [simplify]: Simplified to (/ PI 2) 20.110 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) 20.111 * [simplify]: Simplifying (asin (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))) 20.111 * * [simplify]: iters left: 6 (20 enodes) 20.115 * * [simplify]: iters left: 5 (69 enodes) 20.124 * * [simplify]: iters left: 4 (93 enodes) 20.143 * * [simplify]: iters left: 3 (186 enodes) 20.216 * * [simplify]: iters left: 2 (370 enodes) 20.296 * * [simplify]: iters left: 1 (475 enodes) 20.450 * * [simplify]: Extracting #0: cost 1 inf + 0 20.450 * * [simplify]: Extracting #1: cost 3 inf + 0 20.450 * * [simplify]: Extracting #2: cost 12 inf + 0 20.450 * * [simplify]: Extracting #3: cost 50 inf + 0 20.450 * * [simplify]: Extracting #4: cost 84 inf + 0 20.451 * * [simplify]: Extracting #5: cost 73 inf + 431 20.451 * * [simplify]: Extracting #6: cost 45 inf + 4963 20.454 * * [simplify]: Extracting #7: cost 13 inf + 14975 20.457 * * [simplify]: Extracting #8: cost 1 inf + 21450 20.461 * * [simplify]: Extracting #9: cost 0 inf + 22014 20.465 * [simplify]: Simplified to (asin (+ (* (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2)))) 20.465 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (/ PI 2) (asin (+ (* (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2))))))) 20.465 * * * * [progress]: [ 2 / 80 ] simplifiying candidate # 20.465 * * * * [progress]: [ 3 / 80 ] simplifiying candidate # 20.465 * [simplify]: Simplifying (log (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 20.465 * * [simplify]: iters left: 6 (21 enodes) 20.470 * * [simplify]: iters left: 5 (72 enodes) 20.490 * * [simplify]: iters left: 4 (96 enodes) 20.523 * * [simplify]: iters left: 3 (189 enodes) 20.599 * * [simplify]: iters left: 2 (377 enodes) 20.750 * * [simplify]: iters left: 1 (480 enodes) 20.924 * * [simplify]: Extracting #0: cost 1 inf + 0 20.924 * * [simplify]: Extracting #1: cost 3 inf + 0 20.924 * * [simplify]: Extracting #2: cost 5 inf + 0 20.924 * * [simplify]: Extracting #3: cost 14 inf + 0 20.925 * * [simplify]: Extracting #4: cost 54 inf + 0 20.925 * * [simplify]: Extracting #5: cost 88 inf + 0 20.926 * * [simplify]: Extracting #6: cost 76 inf + 492 20.927 * * [simplify]: Extracting #7: cost 53 inf + 4416 20.932 * * [simplify]: Extracting #8: cost 18 inf + 14514 20.940 * * [simplify]: Extracting #9: cost 4 inf + 20802 20.948 * * [simplify]: Extracting #10: cost 1 inf + 23434 20.957 * * [simplify]: Extracting #11: cost 0 inf + 24358 20.965 * [simplify]: Simplified to (log (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)))))) 20.965 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))))))))) 20.965 * * * * [progress]: [ 4 / 80 ] simplifiying candidate # 20.965 * [simplify]: Simplifying (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 20.966 * * [simplify]: iters left: 6 (21 enodes) 20.975 * * [simplify]: iters left: 5 (72 enodes) 20.996 * * [simplify]: iters left: 4 (96 enodes) 21.029 * * [simplify]: iters left: 3 (189 enodes) 21.095 * * [simplify]: iters left: 2 (377 enodes) 21.195 * * [simplify]: iters left: 1 (480 enodes) 21.379 * * [simplify]: Extracting #0: cost 1 inf + 0 21.379 * * [simplify]: Extracting #1: cost 3 inf + 0 21.379 * * [simplify]: Extracting #2: cost 5 inf + 0 21.379 * * [simplify]: Extracting #3: cost 14 inf + 0 21.379 * * [simplify]: Extracting #4: cost 54 inf + 0 21.379 * * [simplify]: Extracting #5: cost 88 inf + 0 21.380 * * [simplify]: Extracting #6: cost 76 inf + 492 21.381 * * [simplify]: Extracting #7: cost 53 inf + 4416 21.383 * * [simplify]: Extracting #8: cost 18 inf + 14514 21.387 * * [simplify]: Extracting #9: cost 4 inf + 20802 21.393 * * [simplify]: Extracting #10: cost 1 inf + 23434 21.402 * * [simplify]: Extracting #11: cost 0 inf + 24358 21.409 * [simplify]: Simplified to (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)))))) 21.409 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))))))))) 21.409 * * * * [progress]: [ 5 / 80 ] simplifiying candidate # 21.409 * [simplify]: Simplifying (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 21.410 * * [simplify]: iters left: 6 (22 enodes) 21.414 * * [simplify]: iters left: 5 (75 enodes) 21.426 * * [simplify]: iters left: 4 (99 enodes) 21.448 * * [simplify]: iters left: 3 (192 enodes) 21.523 * * [simplify]: iters left: 2 (376 enodes) 21.621 * * [simplify]: iters left: 1 (468 enodes) 21.735 * * [simplify]: Extracting #0: cost 1 inf + 0 21.735 * * [simplify]: Extracting #1: cost 3 inf + 0 21.735 * * [simplify]: Extracting #2: cost 5 inf + 0 21.735 * * [simplify]: Extracting #3: cost 7 inf + 0 21.735 * * [simplify]: Extracting #4: cost 15 inf + 0 21.736 * * [simplify]: Extracting #5: cost 53 inf + 0 21.736 * * [simplify]: Extracting #6: cost 87 inf + 0 21.736 * * [simplify]: Extracting #7: cost 78 inf + 309 21.737 * * [simplify]: Extracting #8: cost 60 inf + 2821 21.739 * * [simplify]: Extracting #9: cost 21 inf + 13323 21.742 * * [simplify]: Extracting #10: cost 8 inf + 18163 21.746 * * [simplify]: Extracting #11: cost 2 inf + 23387 21.750 * * [simplify]: Extracting #12: cost 0 inf + 25095 21.755 * * [simplify]: Extracting #13: cost 0 inf + 24935 21.759 * [simplify]: Simplified to (* (cbrt (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))))) 21.759 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (* (cbrt (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))) 21.760 * [simplify]: Simplifying (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 21.760 * * [simplify]: iters left: 6 (21 enodes) 21.764 * * [simplify]: iters left: 5 (72 enodes) 21.774 * * [simplify]: iters left: 4 (96 enodes) 21.794 * * [simplify]: iters left: 3 (189 enodes) 21.869 * * [simplify]: iters left: 2 (377 enodes) 21.983 * * [simplify]: iters left: 1 (480 enodes) 22.155 * * [simplify]: Extracting #0: cost 1 inf + 0 22.155 * * [simplify]: Extracting #1: cost 3 inf + 0 22.155 * * [simplify]: Extracting #2: cost 5 inf + 0 22.155 * * [simplify]: Extracting #3: cost 14 inf + 0 22.155 * * [simplify]: Extracting #4: cost 54 inf + 0 22.155 * * [simplify]: Extracting #5: cost 88 inf + 0 22.156 * * [simplify]: Extracting #6: cost 76 inf + 492 22.156 * * [simplify]: Extracting #7: cost 53 inf + 4416 22.159 * * [simplify]: Extracting #8: cost 18 inf + 14514 22.163 * * [simplify]: Extracting #9: cost 4 inf + 20802 22.167 * * [simplify]: Extracting #10: cost 1 inf + 23444 22.171 * * [simplify]: Extracting #11: cost 0 inf + 24378 22.178 * [simplify]: Simplified to (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)))))) 22.178 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))))))))) 22.179 * * * * [progress]: [ 6 / 80 ] simplifiying candidate # 22.179 * [simplify]: Simplifying (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))) (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 22.180 * * [simplify]: iters left: 6 (22 enodes) 22.189 * * [simplify]: iters left: 5 (76 enodes) 22.211 * * [simplify]: iters left: 4 (102 enodes) 22.243 * * [simplify]: iters left: 3 (202 enodes) 22.303 * * [simplify]: iters left: 2 (404 enodes) 22.437 * * [simplify]: Extracting #0: cost 1 inf + 0 22.437 * * [simplify]: Extracting #1: cost 6 inf + 0 22.437 * * [simplify]: Extracting #2: cost 11 inf + 1 22.437 * * [simplify]: Extracting #3: cost 30 inf + 2 22.438 * * [simplify]: Extracting #4: cost 72 inf + 3 22.439 * * [simplify]: Extracting #5: cost 105 inf + 4 22.439 * * [simplify]: Extracting #6: cost 95 inf + 475 22.441 * * [simplify]: Extracting #7: cost 54 inf + 8523 22.445 * * [simplify]: Extracting #8: cost 17 inf + 23121 22.450 * * [simplify]: Extracting #9: cost 6 inf + 31256 22.456 * * [simplify]: Extracting #10: cost 0 inf + 37304 22.462 * * [simplify]: Extracting #11: cost 0 inf + 37173 22.468 * [simplify]: Simplified to (* (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))) (* (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))) (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))))) 22.468 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (cbrt (* (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))) (* (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))) (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))))))) 22.469 * * * * [progress]: [ 7 / 80 ] simplifiying candidate # 22.469 * [simplify]: Simplifying (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 22.469 * * [simplify]: iters left: 6 (21 enodes) 22.473 * * [simplify]: iters left: 5 (72 enodes) 22.490 * * [simplify]: iters left: 4 (96 enodes) 22.514 * * [simplify]: iters left: 3 (189 enodes) 22.554 * * [simplify]: iters left: 2 (377 enodes) 22.678 * * [simplify]: iters left: 1 (480 enodes) 22.875 * * [simplify]: Extracting #0: cost 1 inf + 0 22.875 * * [simplify]: Extracting #1: cost 3 inf + 0 22.875 * * [simplify]: Extracting #2: cost 5 inf + 0 22.875 * * [simplify]: Extracting #3: cost 14 inf + 0 22.875 * * [simplify]: Extracting #4: cost 54 inf + 0 22.876 * * [simplify]: Extracting #5: cost 88 inf + 0 22.876 * * [simplify]: Extracting #6: cost 76 inf + 492 22.878 * * [simplify]: Extracting #7: cost 53 inf + 4416 22.883 * * [simplify]: Extracting #8: cost 18 inf + 14514 22.889 * * [simplify]: Extracting #9: cost 4 inf + 20802 22.893 * * [simplify]: Extracting #10: cost 1 inf + 23404 22.897 * * [simplify]: Extracting #11: cost 0 inf + 24298 22.901 * [simplify]: Simplified to (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)))))) 22.901 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)))))) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))) 22.902 * [simplify]: Simplifying (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 22.902 * * [simplify]: iters left: 6 (21 enodes) 22.906 * * [simplify]: iters left: 5 (72 enodes) 22.918 * * [simplify]: iters left: 4 (96 enodes) 22.942 * * [simplify]: iters left: 3 (189 enodes) 22.993 * * [simplify]: iters left: 2 (377 enodes) 23.078 * * [simplify]: iters left: 1 (480 enodes) 23.209 * * [simplify]: Extracting #0: cost 1 inf + 0 23.209 * * [simplify]: Extracting #1: cost 3 inf + 0 23.209 * * [simplify]: Extracting #2: cost 5 inf + 0 23.209 * * [simplify]: Extracting #3: cost 14 inf + 0 23.210 * * [simplify]: Extracting #4: cost 54 inf + 0 23.210 * * [simplify]: Extracting #5: cost 88 inf + 0 23.210 * * [simplify]: Extracting #6: cost 76 inf + 492 23.211 * * [simplify]: Extracting #7: cost 53 inf + 4416 23.213 * * [simplify]: Extracting #8: cost 18 inf + 14514 23.217 * * [simplify]: Extracting #9: cost 4 inf + 20802 23.222 * * [simplify]: Extracting #10: cost 1 inf + 23404 23.231 * * [simplify]: Extracting #11: cost 0 inf + 24298 23.240 * [simplify]: Simplified to (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)))))) 23.240 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))))))))) 23.240 * * * * [progress]: [ 8 / 80 ] simplifiying candidate # 23.240 * * * * [progress]: [ 9 / 80 ] simplifiying candidate #real (real->posit16 (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))))> 23.240 * [simplify]: Simplifying (real->posit16 (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 23.241 * * [simplify]: iters left: 6 (21 enodes) 23.250 * * [simplify]: iters left: 5 (69 enodes) 23.269 * * [simplify]: iters left: 4 (93 enodes) 23.303 * * [simplify]: iters left: 3 (186 enodes) 23.378 * * [simplify]: iters left: 2 (370 enodes) 23.529 * * [simplify]: iters left: 1 (475 enodes) 23.699 * * [simplify]: Extracting #0: cost 1 inf + 0 23.699 * * [simplify]: Extracting #1: cost 2 inf + 0 23.699 * * [simplify]: Extracting #2: cost 3 inf + 0 23.699 * * [simplify]: Extracting #3: cost 12 inf + 0 23.699 * * [simplify]: Extracting #4: cost 50 inf + 0 23.700 * * [simplify]: Extracting #5: cost 84 inf + 0 23.700 * * [simplify]: Extracting #6: cost 73 inf + 431 23.702 * * [simplify]: Extracting #7: cost 46 inf + 4801 23.707 * * [simplify]: Extracting #8: cost 12 inf + 15438 23.713 * * [simplify]: Extracting #9: cost 1 inf + 21420 23.721 * * [simplify]: Extracting #10: cost 0 inf + 21984 23.729 * [simplify]: Simplified to (real->posit16 (acos (+ (* (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2))))) 23.729 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (posit16->real (real->posit16 (acos (+ (* (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2)))))))) 23.729 * * * * [progress]: [ 10 / 80 ] simplifiying candidate # 23.729 * [simplify]: Simplifying (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 23.730 * * [simplify]: iters left: 6 (22 enodes) 23.739 * * [simplify]: iters left: 5 (76 enodes) 23.755 * * [simplify]: iters left: 4 (100 enodes) 23.771 * * [simplify]: iters left: 3 (194 enodes) 23.821 * * [simplify]: iters left: 2 (378 enodes) 23.918 * * [simplify]: iters left: 1 (486 enodes) 24.076 * * [simplify]: Extracting #0: cost 1 inf + 0 24.076 * * [simplify]: Extracting #1: cost 4 inf + 0 24.076 * * [simplify]: Extracting #2: cost 5 inf + 1 24.076 * * [simplify]: Extracting #3: cost 13 inf + 1 24.076 * * [simplify]: Extracting #4: cost 50 inf + 1 24.077 * * [simplify]: Extracting #5: cost 84 inf + 1 24.077 * * [simplify]: Extracting #6: cost 75 inf + 310 24.078 * * [simplify]: Extracting #7: cost 51 inf + 4095 24.080 * * [simplify]: Extracting #8: cost 13 inf + 15441 24.084 * * [simplify]: Extracting #9: cost 2 inf + 21177 24.088 * * [simplify]: Extracting #10: cost 0 inf + 22807 24.091 * * [simplify]: Extracting #11: cost 0 inf + 22647 24.095 * [simplify]: Simplified to (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi2)))))) 24.095 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (pow (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi2)))))) 1)) 24.096 * * * * [progress]: [ 11 / 80 ] simplifiying candidate # 24.096 * * * * [progress]: [ 12 / 80 ] simplifiying candidate # 24.096 * [simplify]: Simplifying (+ (log R) (log (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 24.096 * * [simplify]: iters left: 6 (24 enodes) 24.101 * * [simplify]: iters left: 5 (82 enodes) 24.125 * * [simplify]: iters left: 4 (106 enodes) 24.144 * * [simplify]: iters left: 3 (200 enodes) 24.196 * * [simplify]: iters left: 2 (384 enodes) 24.318 * * [simplify]: iters left: 1 (496 enodes) 24.481 * * [simplify]: Extracting #0: cost 1 inf + 0 24.482 * * [simplify]: Extracting #1: cost 4 inf + 0 24.482 * * [simplify]: Extracting #2: cost 8 inf + 0 24.482 * * [simplify]: Extracting #3: cost 9 inf + 1 24.482 * * [simplify]: Extracting #4: cost 16 inf + 143 24.482 * * [simplify]: Extracting #5: cost 56 inf + 143 24.483 * * [simplify]: Extracting #6: cost 90 inf + 143 24.484 * * [simplify]: Extracting #7: cost 78 inf + 736 24.486 * * [simplify]: Extracting #8: cost 46 inf + 6417 24.492 * * [simplify]: Extracting #9: cost 13 inf + 17197 24.498 * * [simplify]: Extracting #10: cost 3 inf + 23647 24.502 * * [simplify]: Extracting #11: cost 1 inf + 25536 24.506 * * [simplify]: Extracting #12: cost 0 inf + 26571 24.511 * [simplify]: Simplified to (+ (log R) (log (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1)))))) 24.511 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log R) (log (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1)))))))) 24.511 * * * * [progress]: [ 13 / 80 ] simplifiying candidate # 24.511 * [simplify]: Simplifying (log (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 24.511 * * [simplify]: iters left: 6 (23 enodes) 24.516 * * [simplify]: iters left: 5 (82 enodes) 24.530 * * [simplify]: iters left: 4 (111 enodes) 24.562 * * [simplify]: iters left: 3 (205 enodes) 24.602 * * [simplify]: iters left: 2 (389 enodes) 24.689 * * [simplify]: Extracting #0: cost 1 inf + 0 24.689 * * [simplify]: Extracting #1: cost 5 inf + 0 24.689 * * [simplify]: Extracting #2: cost 10 inf + 0 24.689 * * [simplify]: Extracting #3: cost 11 inf + 1 24.689 * * [simplify]: Extracting #4: cost 26 inf + 143 24.689 * * [simplify]: Extracting #5: cost 74 inf + 143 24.689 * * [simplify]: Extracting #6: cost 108 inf + 143 24.690 * * [simplify]: Extracting #7: cost 97 inf + 776 24.691 * * [simplify]: Extracting #8: cost 67 inf + 5632 24.694 * * [simplify]: Extracting #9: cost 15 inf + 26189 24.700 * * [simplify]: Extracting #10: cost 1 inf + 34992 24.713 * * [simplify]: Extracting #11: cost 0 inf + 35557 24.720 * * [simplify]: Extracting #12: cost 0 inf + 35477 24.726 * [simplify]: Simplified to (log (* R (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))))) 24.726 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* R (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))))))) 24.726 * * * * [progress]: [ 14 / 80 ] simplifiying candidate # 24.726 * [simplify]: Simplifying (exp (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 24.726 * * [simplify]: iters left: 6 (23 enodes) 24.731 * * [simplify]: iters left: 5 (81 enodes) 24.742 * * [simplify]: iters left: 4 (113 enodes) 24.773 * * [simplify]: iters left: 3 (219 enodes) 24.830 * * [simplify]: iters left: 2 (430 enodes) 24.931 * * [simplify]: Extracting #0: cost 1 inf + 0 24.931 * * [simplify]: Extracting #1: cost 16 inf + 0 24.931 * * [simplify]: Extracting #2: cost 43 inf + 1 24.931 * * [simplify]: Extracting #3: cost 65 inf + 269 24.931 * * [simplify]: Extracting #4: cost 103 inf + 395 24.932 * * [simplify]: Extracting #5: cost 137 inf + 395 24.932 * * [simplify]: Extracting #6: cost 127 inf + 866 24.933 * * [simplify]: Extracting #7: cost 99 inf + 5196 24.937 * * [simplify]: Extracting #8: cost 50 inf + 26868 24.948 * * [simplify]: Extracting #9: cost 14 inf + 59610 24.967 * * [simplify]: Extracting #10: cost 0 inf + 75116 24.990 * * [simplify]: Extracting #11: cost 0 inf + 73665 25.012 * * [simplify]: Extracting #12: cost 0 inf + 73624 25.034 * [simplify]: Simplified to (exp (* R (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))))) 25.034 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (log (exp (* R (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))))))) 25.034 * * * * [progress]: [ 15 / 80 ] simplifiying candidate # 25.035 * [simplify]: Simplifying (* (* (* R R) R) (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))) (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 25.035 * * [simplify]: iters left: 6 (26 enodes) 25.046 * * [simplify]: iters left: 5 (94 enodes) 25.066 * * [simplify]: iters left: 4 (147 enodes) 25.105 * * [simplify]: iters left: 3 (295 enodes) 25.230 * * [simplify]: Extracting #0: cost 1 inf + 0 25.230 * * [simplify]: Extracting #1: cost 28 inf + 0 25.231 * * [simplify]: Extracting #2: cost 52 inf + 43 25.231 * * [simplify]: Extracting #3: cost 57 inf + 459 25.232 * * [simplify]: Extracting #4: cost 129 inf + 672 25.233 * * [simplify]: Extracting #5: cost 158 inf + 884 25.235 * * [simplify]: Extracting #6: cost 141 inf + 2085 25.238 * * [simplify]: Extracting #7: cost 102 inf + 13204 25.248 * * [simplify]: Extracting #8: cost 48 inf + 35238 25.259 * * [simplify]: Extracting #9: cost 12 inf + 67834 25.274 * * [simplify]: Extracting #10: cost 0 inf + 79481 25.290 * * [simplify]: Extracting #11: cost 0 inf + 79230 25.305 * [simplify]: Simplified to (* (* (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))) (* (sin phi1) (sin phi2))))) (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))) (* (sin phi1) (sin phi2)))))) (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))) (* (sin phi1) (sin phi2)))))) 25.305 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))) (* (sin phi1) (sin phi2))))) (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))) (* (sin phi1) (sin phi2)))))) (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))) (* (sin phi1) (sin phi2)))))))) 25.305 * * * * [progress]: [ 16 / 80 ] simplifiying candidate # 25.306 * [simplify]: Simplifying (* (cbrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) (cbrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) 25.306 * * [simplify]: iters left: 6 (24 enodes) 25.311 * * [simplify]: iters left: 5 (82 enodes) 25.325 * * [simplify]: iters left: 4 (106 enodes) 25.342 * * [simplify]: iters left: 3 (199 enodes) 25.401 * * [simplify]: iters left: 2 (383 enodes) 25.501 * * [simplify]: iters left: 1 (490 enodes) 25.664 * * [simplify]: Extracting #0: cost 1 inf + 0 25.664 * * [simplify]: Extracting #1: cost 3 inf + 0 25.664 * * [simplify]: Extracting #2: cost 5 inf + 0 25.664 * * [simplify]: Extracting #3: cost 8 inf + 0 25.664 * * [simplify]: Extracting #4: cost 9 inf + 1 25.664 * * [simplify]: Extracting #5: cost 18 inf + 1 25.665 * * [simplify]: Extracting #6: cost 56 inf + 1 25.665 * * [simplify]: Extracting #7: cost 90 inf + 1 25.665 * * [simplify]: Extracting #8: cost 80 inf + 371 25.666 * * [simplify]: Extracting #9: cost 56 inf + 4554 25.668 * * [simplify]: Extracting #10: cost 23 inf + 13423 25.675 * * [simplify]: Extracting #11: cost 8 inf + 20567 25.684 * * [simplify]: Extracting #12: cost 3 inf + 24830 25.693 * * [simplify]: Extracting #13: cost 0 inf + 27755 25.702 * [simplify]: Simplified to (* (cbrt (* R (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi1) (sin phi2)))))) (cbrt (* R (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi1) (sin phi2))))))) 25.702 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* R (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi1) (sin phi2)))))) (cbrt (* R (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi1) (sin phi2))))))) (cbrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))) 25.703 * [simplify]: Simplifying (cbrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 25.703 * * [simplify]: iters left: 6 (23 enodes) 25.713 * * [simplify]: iters left: 5 (79 enodes) 25.734 * * [simplify]: iters left: 4 (103 enodes) 25.771 * * [simplify]: iters left: 3 (196 enodes) 25.845 * * [simplify]: iters left: 2 (384 enodes) 25.950 * * [simplify]: iters left: 1 (465 enodes) 26.040 * * [simplify]: Extracting #0: cost 1 inf + 0 26.040 * * [simplify]: Extracting #1: cost 3 inf + 0 26.040 * * [simplify]: Extracting #2: cost 6 inf + 0 26.041 * * [simplify]: Extracting #3: cost 7 inf + 1 26.041 * * [simplify]: Extracting #4: cost 15 inf + 1 26.041 * * [simplify]: Extracting #5: cost 55 inf + 1 26.041 * * [simplify]: Extracting #6: cost 89 inf + 1 26.042 * * [simplify]: Extracting #7: cost 74 inf + 878 26.044 * * [simplify]: Extracting #8: cost 54 inf + 4720 26.049 * * [simplify]: Extracting #9: cost 16 inf + 15304 26.056 * * [simplify]: Extracting #10: cost 4 inf + 21646 26.064 * * [simplify]: Extracting #11: cost 2 inf + 23516 26.073 * * [simplify]: Extracting #12: cost 0 inf + 25386 26.081 * [simplify]: Simplified to (cbrt (* R (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi1) (sin phi2)))))) 26.081 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) (cbrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) (cbrt (* R (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi1) (sin phi2)))))))) 26.081 * * * * [progress]: [ 17 / 80 ] simplifiying candidate # 26.082 * [simplify]: Simplifying (* (* (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 26.082 * * [simplify]: iters left: 6 (24 enodes) 26.093 * * [simplify]: iters left: 5 (92 enodes) 26.107 * * [simplify]: iters left: 4 (156 enodes) 26.148 * * [simplify]: iters left: 3 (308 enodes) 26.249 * * [simplify]: Extracting #0: cost 1 inf + 0 26.249 * * [simplify]: Extracting #1: cost 18 inf + 0 26.249 * * [simplify]: Extracting #2: cost 34 inf + 43 26.249 * * [simplify]: Extracting #3: cost 41 inf + 166 26.250 * * [simplify]: Extracting #4: cost 112 inf + 460 26.250 * * [simplify]: Extracting #5: cost 142 inf + 460 26.251 * * [simplify]: Extracting #6: cost 130 inf + 1255 26.253 * * [simplify]: Extracting #7: cost 82 inf + 11744 26.257 * * [simplify]: Extracting #8: cost 32 inf + 33318 26.267 * * [simplify]: Extracting #9: cost 6 inf + 55064 26.285 * * [simplify]: Extracting #10: cost 1 inf + 59670 26.308 * * [simplify]: Extracting #11: cost 0 inf + 60605 26.332 * [simplify]: Simplified to (* (* R (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) (* (* R (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) (* R (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))) 26.332 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* R (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) (* (* R (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) (* R (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))))) 26.333 * * * * [progress]: [ 18 / 80 ] simplifiying candidate # 26.333 * [simplify]: Simplifying (sqrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 26.333 * * [simplify]: iters left: 6 (23 enodes) 26.343 * * [simplify]: iters left: 5 (79 enodes) 26.368 * * [simplify]: iters left: 4 (103 enodes) 26.396 * * [simplify]: iters left: 3 (196 enodes) 26.438 * * [simplify]: iters left: 2 (384 enodes) 26.538 * * [simplify]: iters left: 1 (465 enodes) 26.620 * * [simplify]: Extracting #0: cost 1 inf + 0 26.620 * * [simplify]: Extracting #1: cost 3 inf + 0 26.620 * * [simplify]: Extracting #2: cost 6 inf + 0 26.620 * * [simplify]: Extracting #3: cost 7 inf + 1 26.620 * * [simplify]: Extracting #4: cost 15 inf + 1 26.620 * * [simplify]: Extracting #5: cost 55 inf + 1 26.620 * * [simplify]: Extracting #6: cost 89 inf + 1 26.621 * * [simplify]: Extracting #7: cost 74 inf + 878 26.622 * * [simplify]: Extracting #8: cost 54 inf + 4720 26.624 * * [simplify]: Extracting #9: cost 16 inf + 15304 26.628 * * [simplify]: Extracting #10: cost 4 inf + 21646 26.632 * * [simplify]: Extracting #11: cost 2 inf + 23476 26.637 * * [simplify]: Extracting #12: cost 0 inf + 25306 26.645 * [simplify]: Simplified to (sqrt (* R (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi1) (sin phi2)))))) 26.645 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* R (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi1) (sin phi2)))))) (sqrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))) 26.646 * [simplify]: Simplifying (sqrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 26.646 * * [simplify]: iters left: 6 (23 enodes) 26.655 * * [simplify]: iters left: 5 (79 enodes) 26.673 * * [simplify]: iters left: 4 (103 enodes) 26.692 * * [simplify]: iters left: 3 (196 enodes) 26.737 * * [simplify]: iters left: 2 (384 enodes) 26.860 * * [simplify]: iters left: 1 (465 enodes) 26.937 * * [simplify]: Extracting #0: cost 1 inf + 0 26.937 * * [simplify]: Extracting #1: cost 3 inf + 0 26.937 * * [simplify]: Extracting #2: cost 6 inf + 0 26.937 * * [simplify]: Extracting #3: cost 7 inf + 1 26.937 * * [simplify]: Extracting #4: cost 15 inf + 1 26.937 * * [simplify]: Extracting #5: cost 55 inf + 1 26.937 * * [simplify]: Extracting #6: cost 89 inf + 1 26.938 * * [simplify]: Extracting #7: cost 74 inf + 878 26.939 * * [simplify]: Extracting #8: cost 54 inf + 4720 26.941 * * [simplify]: Extracting #9: cost 16 inf + 15304 26.945 * * [simplify]: Extracting #10: cost 4 inf + 21646 26.952 * * [simplify]: Extracting #11: cost 2 inf + 23476 26.961 * * [simplify]: Extracting #12: cost 0 inf + 25306 26.969 * [simplify]: Simplified to (sqrt (* R (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi1) (sin phi2)))))) 26.969 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) (sqrt (* R (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi1) (sin phi2)))))))) 26.969 * * * * [progress]: [ 19 / 80 ] simplifiying candidate # 26.969 * * * * [progress]: [ 20 / 80 ] simplifiying candidate # 26.970 * [simplify]: Simplifying (* (sqrt R) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 26.970 * * [simplify]: iters left: 6 (24 enodes) 26.980 * * [simplify]: iters left: 5 (82 enodes) 27.003 * * [simplify]: iters left: 4 (106 enodes) 27.022 * * [simplify]: iters left: 3 (200 enodes) 27.083 * * [simplify]: iters left: 2 (384 enodes) 27.180 * * [simplify]: iters left: 1 (496 enodes) 27.353 * * [simplify]: Extracting #0: cost 1 inf + 0 27.353 * * [simplify]: Extracting #1: cost 4 inf + 0 27.353 * * [simplify]: Extracting #2: cost 8 inf + 0 27.353 * * [simplify]: Extracting #3: cost 9 inf + 1 27.353 * * [simplify]: Extracting #4: cost 16 inf + 83 27.354 * * [simplify]: Extracting #5: cost 56 inf + 83 27.354 * * [simplify]: Extracting #6: cost 90 inf + 83 27.355 * * [simplify]: Extracting #7: cost 78 inf + 676 27.357 * * [simplify]: Extracting #8: cost 46 inf + 6357 27.362 * * [simplify]: Extracting #9: cost 13 inf + 17137 27.370 * * [simplify]: Extracting #10: cost 3 inf + 23527 27.378 * * [simplify]: Extracting #11: cost 1 inf + 25356 27.386 * * [simplify]: Extracting #12: cost 0 inf + 26331 27.392 * [simplify]: Simplified to (* (sqrt R) (sqrt (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1)))))) 27.392 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt R) (sqrt (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1)))))) (* (sqrt R) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))) 27.392 * [simplify]: Simplifying (* (sqrt R) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 27.392 * * [simplify]: iters left: 6 (24 enodes) 27.397 * * [simplify]: iters left: 5 (82 enodes) 27.409 * * [simplify]: iters left: 4 (106 enodes) 27.431 * * [simplify]: iters left: 3 (200 enodes) 27.511 * * [simplify]: iters left: 2 (384 enodes) 27.656 * * [simplify]: iters left: 1 (496 enodes) 27.822 * * [simplify]: Extracting #0: cost 1 inf + 0 27.822 * * [simplify]: Extracting #1: cost 4 inf + 0 27.822 * * [simplify]: Extracting #2: cost 8 inf + 0 27.822 * * [simplify]: Extracting #3: cost 9 inf + 1 27.822 * * [simplify]: Extracting #4: cost 16 inf + 83 27.823 * * [simplify]: Extracting #5: cost 56 inf + 83 27.823 * * [simplify]: Extracting #6: cost 90 inf + 83 27.823 * * [simplify]: Extracting #7: cost 78 inf + 676 27.824 * * [simplify]: Extracting #8: cost 46 inf + 6357 27.827 * * [simplify]: Extracting #9: cost 13 inf + 17137 27.831 * * [simplify]: Extracting #10: cost 3 inf + 23527 27.835 * * [simplify]: Extracting #11: cost 1 inf + 25356 27.843 * * [simplify]: Extracting #12: cost 0 inf + 26331 27.851 * [simplify]: Simplified to (* (sqrt R) (sqrt (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1)))))) 27.851 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt R) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) (* (sqrt R) (sqrt (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1)))))))) 27.851 * * * * [progress]: [ 21 / 80 ] simplifiying candidate # 27.852 * [simplify]: Simplifying (* R (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) 27.852 * * [simplify]: iters left: 6 (24 enodes) 27.862 * * [simplify]: iters left: 5 (84 enodes) 27.885 * * [simplify]: iters left: 4 (112 enodes) 27.921 * * [simplify]: iters left: 3 (205 enodes) 27.974 * * [simplify]: iters left: 2 (381 enodes) 28.111 * * [simplify]: Extracting #0: cost 1 inf + 0 28.111 * * [simplify]: Extracting #1: cost 6 inf + 0 28.111 * * [simplify]: Extracting #2: cost 9 inf + 1 28.111 * * [simplify]: Extracting #3: cost 11 inf + 1 28.111 * * [simplify]: Extracting #4: cost 27 inf + 1 28.111 * * [simplify]: Extracting #5: cost 74 inf + 1 28.112 * * [simplify]: Extracting #6: cost 108 inf + 1 28.112 * * [simplify]: Extracting #7: cost 99 inf + 411 28.113 * * [simplify]: Extracting #8: cost 59 inf + 7291 28.116 * * [simplify]: Extracting #9: cost 16 inf + 24340 28.122 * * [simplify]: Extracting #10: cost 4 inf + 32936 28.131 * * [simplify]: Extracting #11: cost 1 inf + 35660 28.143 * * [simplify]: Extracting #12: cost 0 inf + 36515 28.156 * * [simplify]: Extracting #13: cost 0 inf + 36435 28.168 * [simplify]: Simplified to (* R (* (cbrt (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))))) 28.168 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* R (* (cbrt (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) 28.168 * * * * [progress]: [ 22 / 80 ] simplifiying candidate # 28.169 * [simplify]: Simplifying (* R (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 28.169 * * [simplify]: iters left: 6 (23 enodes) 28.178 * * [simplify]: iters left: 5 (79 enodes) 28.201 * * [simplify]: iters left: 4 (103 enodes) 28.232 * * [simplify]: iters left: 3 (196 enodes) 28.271 * * [simplify]: iters left: 2 (384 enodes) 28.365 * * [simplify]: iters left: 1 (465 enodes) 28.474 * * [simplify]: Extracting #0: cost 1 inf + 0 28.474 * * [simplify]: Extracting #1: cost 4 inf + 0 28.474 * * [simplify]: Extracting #2: cost 5 inf + 1 28.474 * * [simplify]: Extracting #3: cost 7 inf + 1 28.474 * * [simplify]: Extracting #4: cost 15 inf + 1 28.474 * * [simplify]: Extracting #5: cost 55 inf + 1 28.475 * * [simplify]: Extracting #6: cost 89 inf + 1 28.476 * * [simplify]: Extracting #7: cost 74 inf + 878 28.477 * * [simplify]: Extracting #8: cost 54 inf + 4720 28.482 * * [simplify]: Extracting #9: cost 16 inf + 15304 28.489 * * [simplify]: Extracting #10: cost 4 inf + 21646 28.497 * * [simplify]: Extracting #11: cost 2 inf + 23475 28.506 * * [simplify]: Extracting #12: cost 0 inf + 25304 28.511 * [simplify]: Simplified to (* (sqrt (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi1) (sin phi2))))) R) 28.511 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi1) (sin phi2))))) R) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) 28.511 * * * * [progress]: [ 23 / 80 ] simplifiying candidate # 28.512 * [simplify]: Simplifying (* R 1) 28.512 * * [simplify]: iters left: 2 (3 enodes) 28.513 * * [simplify]: iters left: 1 (9 enodes) 28.515 * * [simplify]: Extracting #0: cost 1 inf + 0 28.515 * * [simplify]: Extracting #1: cost 0 inf + 1 28.515 * [simplify]: Simplified to R 28.515 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 28.515 * * * * [progress]: [ 24 / 80 ] simplifiying candidate # 28.515 * [simplify]: Simplifying (* (cbrt R) (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 28.515 * * [simplify]: iters left: 6 (23 enodes) 28.522 * * [simplify]: iters left: 5 (79 enodes) 28.533 * * [simplify]: iters left: 4 (103 enodes) 28.564 * * [simplify]: iters left: 3 (197 enodes) 28.643 * * [simplify]: iters left: 2 (385 enodes) 28.746 * * [simplify]: iters left: 1 (472 enodes) 28.877 * * [simplify]: Extracting #0: cost 1 inf + 0 28.877 * * [simplify]: Extracting #1: cost 4 inf + 0 28.877 * * [simplify]: Extracting #2: cost 8 inf + 0 28.878 * * [simplify]: Extracting #3: cost 15 inf + 1 28.878 * * [simplify]: Extracting #4: cost 50 inf + 163 28.878 * * [simplify]: Extracting #5: cost 84 inf + 163 28.881 * * [simplify]: Extracting #6: cost 62 inf + 2174 28.884 * * [simplify]: Extracting #7: cost 22 inf + 11150 28.891 * * [simplify]: Extracting #8: cost 5 inf + 18848 28.898 * * [simplify]: Extracting #9: cost 2 inf + 21140 28.907 * * [simplify]: Extracting #10: cost 0 inf + 22969 28.915 * [simplify]: Simplified to (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))) (cbrt R)) 28.915 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt R) (cbrt R)) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))) (cbrt R)))) 28.915 * * * * [progress]: [ 25 / 80 ] simplifiying candidate # 28.915 * [simplify]: Simplifying (* (sqrt R) (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 28.916 * * [simplify]: iters left: 6 (23 enodes) 28.923 * * [simplify]: iters left: 5 (79 enodes) 28.934 * * [simplify]: iters left: 4 (103 enodes) 28.953 * * [simplify]: iters left: 3 (197 enodes) 28.999 * * [simplify]: iters left: 2 (385 enodes) 29.142 * * [simplify]: iters left: 1 (472 enodes) 29.248 * * [simplify]: Extracting #0: cost 1 inf + 0 29.248 * * [simplify]: Extracting #1: cost 4 inf + 0 29.248 * * [simplify]: Extracting #2: cost 8 inf + 0 29.248 * * [simplify]: Extracting #3: cost 15 inf + 1 29.249 * * [simplify]: Extracting #4: cost 50 inf + 83 29.249 * * [simplify]: Extracting #5: cost 84 inf + 83 29.249 * * [simplify]: Extracting #6: cost 62 inf + 2094 29.251 * * [simplify]: Extracting #7: cost 22 inf + 11070 29.254 * * [simplify]: Extracting #8: cost 5 inf + 18768 29.258 * * [simplify]: Extracting #9: cost 2 inf + 21020 29.264 * * [simplify]: Extracting #10: cost 0 inf + 22809 29.271 * [simplify]: Simplified to (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))) (sqrt R)) 29.271 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt R) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))) (sqrt R)))) 29.272 * * * * [progress]: [ 26 / 80 ] simplifiying candidate # 29.272 * [simplify]: Simplifying (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 29.272 * * [simplify]: iters left: 6 (22 enodes) 29.281 * * [simplify]: iters left: 5 (76 enodes) 29.295 * * [simplify]: iters left: 4 (100 enodes) 29.313 * * [simplify]: iters left: 3 (194 enodes) 29.363 * * [simplify]: iters left: 2 (378 enodes) 29.467 * * [simplify]: iters left: 1 (486 enodes) 29.615 * * [simplify]: Extracting #0: cost 1 inf + 0 29.615 * * [simplify]: Extracting #1: cost 4 inf + 0 29.615 * * [simplify]: Extracting #2: cost 5 inf + 1 29.616 * * [simplify]: Extracting #3: cost 13 inf + 1 29.616 * * [simplify]: Extracting #4: cost 50 inf + 1 29.616 * * [simplify]: Extracting #5: cost 84 inf + 1 29.617 * * [simplify]: Extracting #6: cost 75 inf + 310 29.618 * * [simplify]: Extracting #7: cost 51 inf + 4095 29.622 * * [simplify]: Extracting #8: cost 13 inf + 15441 29.625 * * [simplify]: Extracting #9: cost 2 inf + 21177 29.630 * * [simplify]: Extracting #10: cost 0 inf + 22807 29.634 * * [simplify]: Extracting #11: cost 0 inf + 22647 29.639 * [simplify]: Simplified to (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi2)))))) 29.639 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi2)))))))) 29.639 * * * * [progress]: [ 27 / 80 ] simplifiying candidate #real (real->posit16 (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))))> 29.639 * [simplify]: Simplifying (real->posit16 (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 29.639 * * [simplify]: iters left: 6 (23 enodes) 29.644 * * [simplify]: iters left: 5 (76 enodes) 29.654 * * [simplify]: iters left: 4 (100 enodes) 29.686 * * [simplify]: iters left: 3 (194 enodes) 29.758 * * [simplify]: iters left: 2 (378 enodes) 29.834 * * [simplify]: iters left: 1 (491 enodes) 30.073 * * [simplify]: Extracting #0: cost 1 inf + 0 30.073 * * [simplify]: Extracting #1: cost 2 inf + 0 30.073 * * [simplify]: Extracting #2: cost 4 inf + 0 30.073 * * [simplify]: Extracting #3: cost 5 inf + 1 30.073 * * [simplify]: Extracting #4: cost 13 inf + 1 30.073 * * [simplify]: Extracting #5: cost 51 inf + 1 30.074 * * [simplify]: Extracting #6: cost 85 inf + 1 30.074 * * [simplify]: Extracting #7: cost 75 inf + 472 30.076 * * [simplify]: Extracting #8: cost 52 inf + 4095 30.081 * * [simplify]: Extracting #9: cost 13 inf + 16005 30.090 * * [simplify]: Extracting #10: cost 2 inf + 21440 30.098 * * [simplify]: Extracting #11: cost 0 inf + 23070 30.106 * * [simplify]: Extracting #12: cost 0 inf + 22910 30.114 * [simplify]: Simplified to (real->posit16 (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1))))))) 30.114 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (posit16->real (real->posit16 (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1))))))))) 30.114 * * * * [progress]: [ 28 / 80 ] simplifiying candidate # 30.114 * * * * [progress]: [ 29 / 80 ] simplifiying candidate # 30.114 * [simplify]: Simplifying (- (cos (- phi2 phi1)) (cos (+ phi2 phi1))) 30.115 * * [simplify]: iters left: 5 (7 enodes) 30.117 * * [simplify]: iters left: 4 (26 enodes) 30.124 * * [simplify]: iters left: 3 (32 enodes) 30.133 * * [simplify]: Extracting #0: cost 1 inf + 0 30.133 * * [simplify]: Extracting #1: cost 5 inf + 0 30.133 * * [simplify]: Extracting #2: cost 10 inf + 0 30.133 * * [simplify]: Extracting #3: cost 15 inf + 0 30.133 * * [simplify]: Extracting #4: cost 13 inf + 43 30.133 * * [simplify]: Extracting #5: cost 4 inf + 800 30.134 * * [simplify]: Extracting #6: cost 1 inf + 1186 30.134 * * [simplify]: Extracting #7: cost 0 inf + 1428 30.135 * [simplify]: Simplified to (- (cos (- phi2 phi1)) (cos (+ phi1 phi2))) 30.135 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (/ (- (cos (- phi2 phi1)) (cos (+ phi1 phi2))) 2) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 30.135 * * * * [progress]: [ 30 / 80 ] simplifiying candidate # 30.135 * [simplify]: Simplifying (* (sin phi2) (sin phi1)) 30.135 * * [simplify]: iters left: 3 (5 enodes) 30.137 * * [simplify]: iters left: 2 (16 enodes) 30.141 * * [simplify]: Extracting #0: cost 1 inf + 0 30.142 * * [simplify]: Extracting #1: cost 4 inf + 0 30.142 * * [simplify]: Extracting #2: cost 8 inf + 0 30.142 * * [simplify]: Extracting #3: cost 4 inf + 124 30.142 * * [simplify]: Extracting #4: cost 0 inf + 570 30.142 * [simplify]: Simplified to (* (sin phi1) (sin phi2)) 30.142 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (pow (* (sin phi1) (sin phi2)) 1) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 30.142 * * * * [progress]: [ 31 / 80 ] simplifiying candidate # 30.142 * * * * [progress]: [ 32 / 80 ] simplifiying candidate # 30.143 * [simplify]: Simplifying (+ (log (sin phi2)) (log (sin phi1))) 30.143 * * [simplify]: iters left: 4 (7 enodes) 30.145 * * [simplify]: iters left: 3 (22 enodes) 30.151 * * [simplify]: Extracting #0: cost 1 inf + 0 30.151 * * [simplify]: Extracting #1: cost 4 inf + 0 30.151 * * [simplify]: Extracting #2: cost 8 inf + 0 30.151 * * [simplify]: Extracting #3: cost 12 inf + 0 30.151 * * [simplify]: Extracting #4: cost 10 inf + 2 30.152 * * [simplify]: Extracting #5: cost 4 inf + 508 30.152 * * [simplify]: Extracting #6: cost 1 inf + 1072 30.152 * * [simplify]: Extracting #7: cost 0 inf + 1374 30.153 * [simplify]: Simplified to (+ (log (sin phi1)) (log (sin phi2))) 30.153 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (exp (+ (log (sin phi1)) (log (sin phi2)))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 30.153 * * * * [progress]: [ 33 / 80 ] simplifiying candidate # 30.153 * [simplify]: Simplifying (log (* (sin phi2) (sin phi1))) 30.153 * * [simplify]: iters left: 4 (6 enodes) 30.156 * * [simplify]: iters left: 3 (22 enodes) 30.161 * * [simplify]: iters left: 2 (27 enodes) 30.168 * * [simplify]: Extracting #0: cost 1 inf + 0 30.168 * * [simplify]: Extracting #1: cost 5 inf + 0 30.168 * * [simplify]: Extracting #2: cost 10 inf + 0 30.168 * * [simplify]: Extracting #3: cost 14 inf + 0 30.168 * * [simplify]: Extracting #4: cost 9 inf + 255 30.168 * * [simplify]: Extracting #5: cost 6 inf + 508 30.169 * * [simplify]: Extracting #6: cost 1 inf + 1326 30.169 * * [simplify]: Extracting #7: cost 0 inf + 1558 30.170 * [simplify]: Simplified to (log (* (sin phi1) (sin phi2))) 30.170 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (exp (log (* (sin phi1) (sin phi2)))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 30.170 * * * * [progress]: [ 34 / 80 ] simplifiying candidate # 30.170 * [simplify]: Simplifying (exp (* (sin phi2) (sin phi1))) 30.170 * * [simplify]: iters left: 4 (6 enodes) 30.173 * * [simplify]: iters left: 3 (21 enodes) 30.177 * * [simplify]: iters left: 2 (29 enodes) 30.182 * * [simplify]: iters left: 1 (42 enodes) 30.188 * * [simplify]: Extracting #0: cost 1 inf + 0 30.188 * * [simplify]: Extracting #1: cost 14 inf + 0 30.188 * * [simplify]: Extracting #2: cost 32 inf + 0 30.189 * * [simplify]: Extracting #3: cost 26 inf + 963 30.189 * * [simplify]: Extracting #4: cost 10 inf + 3532 30.190 * * [simplify]: Extracting #5: cost 2 inf + 6437 30.190 * * [simplify]: Extracting #6: cost 0 inf + 7614 30.191 * [simplify]: Simplified to (exp (* (sin phi1) (sin phi2))) 30.191 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 30.191 * * * * [progress]: [ 35 / 80 ] simplifiying candidate # 30.191 * [simplify]: Simplifying (* (* (* (sin phi2) (sin phi2)) (sin phi2)) (* (* (sin phi1) (sin phi1)) (sin phi1))) 30.192 * * [simplify]: iters left: 6 (9 enodes) 30.194 * * [simplify]: iters left: 5 (34 enodes) 30.199 * * [simplify]: iters left: 4 (63 enodes) 30.212 * * [simplify]: iters left: 3 (122 enodes) 30.240 * * [simplify]: iters left: 2 (197 enodes) 30.331 * * [simplify]: iters left: 1 (380 enodes) 30.469 * * [simplify]: Extracting #0: cost 1 inf + 0 30.469 * * [simplify]: Extracting #1: cost 71 inf + 0 30.470 * * [simplify]: Extracting #2: cost 181 inf + 1 30.471 * * [simplify]: Extracting #3: cost 163 inf + 2396 30.474 * * [simplify]: Extracting #4: cost 90 inf + 31918 30.482 * * [simplify]: Extracting #5: cost 8 inf + 81296 30.492 * * [simplify]: Extracting #6: cost 0 inf + 86990 30.505 * [simplify]: Simplified to (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) 30.505 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 30.505 * * * * [progress]: [ 36 / 80 ] simplifiying candidate # 30.505 * [simplify]: Simplifying (* (cbrt (* (sin phi2) (sin phi1))) (cbrt (* (sin phi2) (sin phi1)))) 30.506 * * [simplify]: iters left: 6 (7 enodes) 30.507 * * [simplify]: iters left: 5 (22 enodes) 30.510 * * [simplify]: Extracting #0: cost 1 inf + 0 30.510 * * [simplify]: Extracting #1: cost 3 inf + 0 30.510 * * [simplify]: Extracting #2: cost 5 inf + 0 30.510 * * [simplify]: Extracting #3: cost 8 inf + 0 30.510 * * [simplify]: Extracting #4: cost 12 inf + 0 30.510 * * [simplify]: Extracting #5: cost 10 inf + 2 30.510 * * [simplify]: Extracting #6: cost 1 inf + 1336 30.510 * * [simplify]: Extracting #7: cost 0 inf + 1618 30.511 * [simplify]: Simplified to (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) 30.511 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi2) (sin phi1)))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 30.511 * [simplify]: Simplifying (cbrt (* (sin phi2) (sin phi1))) 30.511 * * [simplify]: iters left: 4 (6 enodes) 30.512 * * [simplify]: iters left: 3 (19 enodes) 30.514 * * [simplify]: Extracting #0: cost 1 inf + 0 30.514 * * [simplify]: Extracting #1: cost 3 inf + 0 30.514 * * [simplify]: Extracting #2: cost 6 inf + 0 30.514 * * [simplify]: Extracting #3: cost 10 inf + 0 30.515 * * [simplify]: Extracting #4: cost 6 inf + 124 30.515 * * [simplify]: Extracting #5: cost 0 inf + 1054 30.515 * [simplify]: Simplified to (cbrt (* (sin phi1) (sin phi2))) 30.515 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (* (cbrt (* (sin phi2) (sin phi1))) (cbrt (* (sin phi2) (sin phi1)))) (cbrt (* (sin phi1) (sin phi2)))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 30.515 * * * * [progress]: [ 37 / 80 ] simplifiying candidate # 30.515 * [simplify]: Simplifying (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1))) 30.515 * * [simplify]: iters left: 6 (7 enodes) 30.517 * * [simplify]: iters left: 5 (32 enodes) 30.522 * * [simplify]: iters left: 4 (72 enodes) 30.544 * * [simplify]: iters left: 3 (126 enodes) 30.574 * * [simplify]: iters left: 2 (157 enodes) 30.612 * * [simplify]: iters left: 1 (231 enodes) 30.674 * * [simplify]: Extracting #0: cost 1 inf + 0 30.674 * * [simplify]: Extracting #1: cost 35 inf + 0 30.674 * * [simplify]: Extracting #2: cost 95 inf + 1 30.677 * * [simplify]: Extracting #3: cost 77 inf + 2691 30.680 * * [simplify]: Extracting #4: cost 18 inf + 23450 30.684 * * [simplify]: Extracting #5: cost 0 inf + 32321 30.687 * [simplify]: Simplified to (* (* (sin phi1) (sin phi2)) (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) 30.688 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (cbrt (* (* (sin phi1) (sin phi2)) (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 30.688 * * * * [progress]: [ 38 / 80 ] simplifiying candidate # 30.688 * [simplify]: Simplifying (sqrt (* (sin phi2) (sin phi1))) 30.688 * * [simplify]: iters left: 4 (6 enodes) 30.689 * * [simplify]: iters left: 3 (19 enodes) 30.692 * * [simplify]: Extracting #0: cost 1 inf + 0 30.692 * * [simplify]: Extracting #1: cost 3 inf + 0 30.692 * * [simplify]: Extracting #2: cost 6 inf + 0 30.692 * * [simplify]: Extracting #3: cost 10 inf + 0 30.692 * * [simplify]: Extracting #4: cost 6 inf + 124 30.692 * * [simplify]: Extracting #5: cost 0 inf + 974 30.692 * [simplify]: Simplified to (sqrt (* (sin phi1) (sin phi2))) 30.692 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi2) (sin phi1)))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 30.692 * [simplify]: Simplifying (sqrt (* (sin phi2) (sin phi1))) 30.692 * * [simplify]: iters left: 4 (6 enodes) 30.694 * * [simplify]: iters left: 3 (19 enodes) 30.696 * * [simplify]: Extracting #0: cost 1 inf + 0 30.696 * * [simplify]: Extracting #1: cost 3 inf + 0 30.696 * * [simplify]: Extracting #2: cost 6 inf + 0 30.696 * * [simplify]: Extracting #3: cost 10 inf + 0 30.696 * * [simplify]: Extracting #4: cost 6 inf + 124 30.697 * * [simplify]: Extracting #5: cost 0 inf + 974 30.697 * [simplify]: Simplified to (sqrt (* (sin phi1) (sin phi2))) 30.697 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sqrt (* (sin phi2) (sin phi1))) (sqrt (* (sin phi1) (sin phi2)))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 30.697 * * * * [progress]: [ 39 / 80 ] simplifiying candidate # 30.697 * * * * [progress]: [ 40 / 80 ] simplifiying candidate # 30.697 * [simplify]: Simplifying (* (sqrt (sin phi2)) (sqrt (sin phi1))) 30.697 * * [simplify]: iters left: 4 (7 enodes) 30.699 * * [simplify]: iters left: 3 (22 enodes) 30.702 * * [simplify]: Extracting #0: cost 1 inf + 0 30.702 * * [simplify]: Extracting #1: cost 4 inf + 0 30.702 * * [simplify]: Extracting #2: cost 8 inf + 0 30.703 * * [simplify]: Extracting #3: cost 12 inf + 0 30.703 * * [simplify]: Extracting #4: cost 10 inf + 2 30.703 * * [simplify]: Extracting #5: cost 4 inf + 448 30.703 * * [simplify]: Extracting #6: cost 1 inf + 892 30.703 * * [simplify]: Extracting #7: cost 0 inf + 1134 30.704 * [simplify]: Simplified to (* (sqrt (sin phi2)) (sqrt (sin phi1))) 30.704 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (* (sqrt (sin phi2)) (sqrt (sin phi1))) (* (sqrt (sin phi2)) (sqrt (sin phi1)))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 30.704 * [simplify]: Simplifying (* (sqrt (sin phi2)) (sqrt (sin phi1))) 30.704 * * [simplify]: iters left: 4 (7 enodes) 30.707 * * [simplify]: iters left: 3 (22 enodes) 30.713 * * [simplify]: Extracting #0: cost 1 inf + 0 30.713 * * [simplify]: Extracting #1: cost 4 inf + 0 30.713 * * [simplify]: Extracting #2: cost 8 inf + 0 30.713 * * [simplify]: Extracting #3: cost 12 inf + 0 30.713 * * [simplify]: Extracting #4: cost 10 inf + 2 30.713 * * [simplify]: Extracting #5: cost 4 inf + 448 30.714 * * [simplify]: Extracting #6: cost 1 inf + 892 30.714 * * [simplify]: Extracting #7: cost 0 inf + 1134 30.714 * [simplify]: Simplified to (* (sqrt (sin phi2)) (sqrt (sin phi1))) 30.714 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (* (sqrt (sin phi2)) (sqrt (sin phi1))) (* (sqrt (sin phi2)) (sqrt (sin phi1)))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 30.715 * * * * [progress]: [ 41 / 80 ] simplifiying candidate # 30.715 * [simplify]: Simplifying (* (sin phi2) (* (cbrt (sin phi1)) (cbrt (sin phi1)))) 30.715 * * [simplify]: iters left: 6 (7 enodes) 30.718 * * [simplify]: iters left: 5 (24 enodes) 30.725 * * [simplify]: iters left: 4 (28 enodes) 30.730 * * [simplify]: Extracting #0: cost 1 inf + 0 30.730 * * [simplify]: Extracting #1: cost 6 inf + 0 30.730 * * [simplify]: Extracting #2: cost 12 inf + 0 30.730 * * [simplify]: Extracting #3: cost 13 inf + 1 30.730 * * [simplify]: Extracting #4: cost 8 inf + 246 30.730 * * [simplify]: Extracting #5: cost 3 inf + 1193 30.731 * * [simplify]: Extracting #6: cost 1 inf + 1656 30.731 * * [simplify]: Extracting #7: cost 0 inf + 1938 30.731 * [simplify]: Simplified to (* (* (sin phi2) (cbrt (sin phi1))) (cbrt (sin phi1))) 30.731 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (* (* (sin phi2) (cbrt (sin phi1))) (cbrt (sin phi1))) (cbrt (sin phi1))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 30.731 * * * * [progress]: [ 42 / 80 ] simplifiying candidate # 30.731 * [simplify]: Simplifying (* (sin phi2) (sqrt (sin phi1))) 30.732 * * [simplify]: iters left: 4 (6 enodes) 30.733 * * [simplify]: iters left: 3 (19 enodes) 30.735 * * [simplify]: Extracting #0: cost 1 inf + 0 30.735 * * [simplify]: Extracting #1: cost 4 inf + 0 30.735 * * [simplify]: Extracting #2: cost 8 inf + 0 30.735 * * [simplify]: Extracting #3: cost 9 inf + 1 30.735 * * [simplify]: Extracting #4: cost 0 inf + 852 30.735 * [simplify]: Simplified to (* (sin phi2) (sqrt (sin phi1))) 30.736 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (* (sin phi2) (sqrt (sin phi1))) (sqrt (sin phi1))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 30.736 * * * * [progress]: [ 43 / 80 ] simplifiying candidate # 30.736 * [simplify]: Simplifying (* (sin phi2) 1) 30.736 * * [simplify]: iters left: 3 (4 enodes) 30.737 * * [simplify]: iters left: 2 (13 enodes) 30.740 * * [simplify]: iters left: 1 (17 enodes) 30.742 * * [simplify]: Extracting #0: cost 1 inf + 0 30.742 * * [simplify]: Extracting #1: cost 4 inf + 0 30.742 * * [simplify]: Extracting #2: cost 0 inf + 124 30.743 * [simplify]: Simplified to (sin phi2) 30.743 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 30.743 * * * * [progress]: [ 44 / 80 ] simplifiying candidate # 30.743 * [simplify]: Simplifying (* (cbrt (sin phi2)) (sin phi1)) 30.743 * * [simplify]: iters left: 4 (6 enodes) 30.744 * * [simplify]: iters left: 3 (19 enodes) 30.747 * * [simplify]: Extracting #0: cost 1 inf + 0 30.747 * * [simplify]: Extracting #1: cost 4 inf + 0 30.747 * * [simplify]: Extracting #2: cost 8 inf + 0 30.747 * * [simplify]: Extracting #3: cost 7 inf + 123 30.747 * * [simplify]: Extracting #4: cost 6 inf + 124 30.747 * * [simplify]: Extracting #5: cost 0 inf + 1012 30.747 * [simplify]: Simplified to (* (sin phi1) (cbrt (sin phi2))) 30.747 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (* (cbrt (sin phi2)) (cbrt (sin phi2))) (* (sin phi1) (cbrt (sin phi2)))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 30.747 * * * * [progress]: [ 45 / 80 ] simplifiying candidate # 30.747 * [simplify]: Simplifying (* (sqrt (sin phi2)) (sin phi1)) 30.747 * * [simplify]: iters left: 4 (6 enodes) 30.749 * * [simplify]: iters left: 3 (19 enodes) 30.751 * * [simplify]: Extracting #0: cost 1 inf + 0 30.751 * * [simplify]: Extracting #1: cost 4 inf + 0 30.751 * * [simplify]: Extracting #2: cost 8 inf + 0 30.751 * * [simplify]: Extracting #3: cost 7 inf + 123 30.751 * * [simplify]: Extracting #4: cost 6 inf + 124 30.751 * * [simplify]: Extracting #5: cost 0 inf + 852 30.751 * [simplify]: Simplified to (* (sin phi1) (sqrt (sin phi2))) 30.751 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sqrt (sin phi2)) (* (sin phi1) (sqrt (sin phi2)))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 30.752 * * * * [progress]: [ 46 / 80 ] simplifiying candidate # 30.752 * [simplify]: Simplifying (* (sin phi2) (sin phi1)) 30.752 * * [simplify]: iters left: 3 (5 enodes) 30.753 * * [simplify]: iters left: 2 (16 enodes) 30.755 * * [simplify]: Extracting #0: cost 1 inf + 0 30.755 * * [simplify]: Extracting #1: cost 4 inf + 0 30.755 * * [simplify]: Extracting #2: cost 8 inf + 0 30.755 * * [simplify]: Extracting #3: cost 4 inf + 124 30.755 * * [simplify]: Extracting #4: cost 0 inf + 570 30.755 * [simplify]: Simplified to (* (sin phi1) (sin phi2)) 30.755 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* 1 (* (sin phi1) (sin phi2))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 30.755 * * * * [progress]: [ 47 / 80 ] simplifiying candidate #real (real->posit16 (* (sin phi2) (sin phi1)))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))> 30.755 * [simplify]: Simplifying (real->posit16 (* (sin phi2) (sin phi1))) 30.756 * * [simplify]: iters left: 4 (6 enodes) 30.757 * * [simplify]: iters left: 3 (16 enodes) 30.759 * * [simplify]: Extracting #0: cost 1 inf + 0 30.759 * * [simplify]: Extracting #1: cost 2 inf + 0 30.759 * * [simplify]: Extracting #2: cost 4 inf + 0 30.759 * * [simplify]: Extracting #3: cost 8 inf + 0 30.759 * * [simplify]: Extracting #4: cost 4 inf + 124 30.759 * * [simplify]: Extracting #5: cost 0 inf + 570 30.759 * [simplify]: Simplified to (real->posit16 (* (sin phi1) (sin phi2))) 30.759 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (posit16->real (real->posit16 (* (sin phi1) (sin phi2)))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 30.759 * * * * [progress]: [ 48 / 80 ] simplifiying candidate # 30.759 * * * * [progress]: [ 49 / 80 ] simplifiying candidate # 30.759 * [simplify]: Simplifying (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) 30.759 * * [simplify]: iters left: 5 (7 enodes) 30.762 * * [simplify]: iters left: 4 (26 enodes) 30.769 * * [simplify]: iters left: 3 (32 enodes) 30.781 * * [simplify]: Extracting #0: cost 1 inf + 0 30.781 * * [simplify]: Extracting #1: cost 5 inf + 0 30.781 * * [simplify]: Extracting #2: cost 10 inf + 0 30.781 * * [simplify]: Extracting #3: cost 15 inf + 0 30.781 * * [simplify]: Extracting #4: cost 13 inf + 43 30.781 * * [simplify]: Extracting #5: cost 4 inf + 800 30.782 * * [simplify]: Extracting #6: cost 1 inf + 1186 30.782 * * [simplify]: Extracting #7: cost 0 inf + 1428 30.783 * [simplify]: Simplified to (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))) 30.783 * [simplify]: Simplified (2 2 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (/ (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))) 2)) (cos phi2))))))) 30.783 * * * * [progress]: [ 50 / 80 ] simplifiying candidate # 30.784 * [simplify]: Simplifying (* (sin lambda1) (sin lambda2)) 30.784 * * [simplify]: iters left: 3 (5 enodes) 30.786 * * [simplify]: iters left: 2 (16 enodes) 30.790 * * [simplify]: Extracting #0: cost 1 inf + 0 30.790 * * [simplify]: Extracting #1: cost 4 inf + 0 30.791 * * [simplify]: Extracting #2: cost 8 inf + 0 30.791 * * [simplify]: Extracting #3: cost 4 inf + 124 30.791 * * [simplify]: Extracting #4: cost 0 inf + 570 30.791 * [simplify]: Simplified to (* (sin lambda2) (sin lambda1)) 30.791 * [simplify]: Simplified (2 2 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (pow (* (sin lambda2) (sin lambda1)) 1)) (cos phi2))))))) 30.791 * * * * [progress]: [ 51 / 80 ] simplifiying candidate # 30.791 * * * * [progress]: [ 52 / 80 ] simplifiying candidate # 30.792 * [simplify]: Simplifying (+ (log (sin lambda1)) (log (sin lambda2))) 30.792 * * [simplify]: iters left: 4 (7 enodes) 30.795 * * [simplify]: iters left: 3 (22 enodes) 30.800 * * [simplify]: Extracting #0: cost 1 inf + 0 30.800 * * [simplify]: Extracting #1: cost 4 inf + 0 30.800 * * [simplify]: Extracting #2: cost 8 inf + 0 30.800 * * [simplify]: Extracting #3: cost 12 inf + 0 30.800 * * [simplify]: Extracting #4: cost 10 inf + 2 30.800 * * [simplify]: Extracting #5: cost 4 inf + 508 30.801 * * [simplify]: Extracting #6: cost 1 inf + 1072 30.801 * * [simplify]: Extracting #7: cost 0 inf + 1374 30.801 * [simplify]: Simplified to (+ (log (sin lambda2)) (log (sin lambda1))) 30.801 * [simplify]: Simplified (2 2 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (exp (+ (log (sin lambda2)) (log (sin lambda1))))) (cos phi2))))))) 30.801 * * * * [progress]: [ 53 / 80 ] simplifiying candidate # 30.801 * [simplify]: Simplifying (log (* (sin lambda1) (sin lambda2))) 30.801 * * [simplify]: iters left: 4 (6 enodes) 30.803 * * [simplify]: iters left: 3 (22 enodes) 30.805 * * [simplify]: iters left: 2 (27 enodes) 30.809 * * [simplify]: Extracting #0: cost 1 inf + 0 30.809 * * [simplify]: Extracting #1: cost 5 inf + 0 30.809 * * [simplify]: Extracting #2: cost 10 inf + 0 30.809 * * [simplify]: Extracting #3: cost 14 inf + 0 30.809 * * [simplify]: Extracting #4: cost 9 inf + 255 30.809 * * [simplify]: Extracting #5: cost 6 inf + 508 30.809 * * [simplify]: Extracting #6: cost 1 inf + 1326 30.809 * * [simplify]: Extracting #7: cost 0 inf + 1558 30.810 * [simplify]: Simplified to (log (* (sin lambda2) (sin lambda1))) 30.810 * [simplify]: Simplified (2 2 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (exp (log (* (sin lambda2) (sin lambda1))))) (cos phi2))))))) 30.810 * * * * [progress]: [ 54 / 80 ] simplifiying candidate # 30.810 * [simplify]: Simplifying (exp (* (sin lambda1) (sin lambda2))) 30.810 * * [simplify]: iters left: 4 (6 enodes) 30.811 * * [simplify]: iters left: 3 (21 enodes) 30.814 * * [simplify]: iters left: 2 (29 enodes) 30.818 * * [simplify]: iters left: 1 (42 enodes) 30.825 * * [simplify]: Extracting #0: cost 1 inf + 0 30.825 * * [simplify]: Extracting #1: cost 14 inf + 0 30.825 * * [simplify]: Extracting #2: cost 32 inf + 0 30.825 * * [simplify]: Extracting #3: cost 26 inf + 963 30.826 * * [simplify]: Extracting #4: cost 10 inf + 3532 30.826 * * [simplify]: Extracting #5: cost 2 inf + 6437 30.827 * * [simplify]: Extracting #6: cost 0 inf + 7614 30.828 * [simplify]: Simplified to (exp (* (sin lambda2) (sin lambda1))) 30.828 * [simplify]: Simplified (2 2 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (log (exp (* (sin lambda2) (sin lambda1))))) (cos phi2))))))) 30.828 * * * * [progress]: [ 55 / 80 ] simplifiying candidate # 30.828 * [simplify]: Simplifying (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) 30.828 * * [simplify]: iters left: 6 (9 enodes) 30.830 * * [simplify]: iters left: 5 (34 enodes) 30.837 * * [simplify]: iters left: 4 (63 enodes) 30.849 * * [simplify]: iters left: 3 (122 enodes) 30.875 * * [simplify]: iters left: 2 (197 enodes) 30.946 * * [simplify]: iters left: 1 (380 enodes) 31.068 * * [simplify]: Extracting #0: cost 1 inf + 0 31.068 * * [simplify]: Extracting #1: cost 71 inf + 0 31.069 * * [simplify]: Extracting #2: cost 181 inf + 1 31.069 * * [simplify]: Extracting #3: cost 163 inf + 2396 31.073 * * [simplify]: Extracting #4: cost 90 inf + 31918 31.081 * * [simplify]: Extracting #5: cost 8 inf + 81296 31.090 * * [simplify]: Extracting #6: cost 0 inf + 86990 31.108 * [simplify]: Simplified to (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (sin lambda2) (sin lambda1))) 31.108 * [simplify]: Simplified (2 2 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (sin lambda2) (sin lambda1))))) (cos phi2))))))) 31.108 * * * * [progress]: [ 56 / 80 ] simplifiying candidate # 31.108 * [simplify]: Simplifying (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) 31.109 * * [simplify]: iters left: 6 (7 enodes) 31.112 * * [simplify]: iters left: 5 (22 enodes) 31.118 * * [simplify]: Extracting #0: cost 1 inf + 0 31.118 * * [simplify]: Extracting #1: cost 3 inf + 0 31.118 * * [simplify]: Extracting #2: cost 5 inf + 0 31.118 * * [simplify]: Extracting #3: cost 8 inf + 0 31.118 * * [simplify]: Extracting #4: cost 12 inf + 0 31.118 * * [simplify]: Extracting #5: cost 10 inf + 2 31.118 * * [simplify]: Extracting #6: cost 1 inf + 1336 31.119 * * [simplify]: Extracting #7: cost 0 inf + 1618 31.119 * [simplify]: Simplified to (* (cbrt (* (sin lambda2) (sin lambda1))) (cbrt (* (sin lambda2) (sin lambda1)))) 31.119 * [simplify]: Simplified (2 2 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (* (cbrt (* (sin lambda2) (sin lambda1))) (cbrt (* (sin lambda2) (sin lambda1)))) (cbrt (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 31.120 * [simplify]: Simplifying (cbrt (* (sin lambda1) (sin lambda2))) 31.120 * * [simplify]: iters left: 4 (6 enodes) 31.122 * * [simplify]: iters left: 3 (19 enodes) 31.128 * * [simplify]: Extracting #0: cost 1 inf + 0 31.128 * * [simplify]: Extracting #1: cost 3 inf + 0 31.128 * * [simplify]: Extracting #2: cost 6 inf + 0 31.128 * * [simplify]: Extracting #3: cost 10 inf + 0 31.128 * * [simplify]: Extracting #4: cost 6 inf + 124 31.129 * * [simplify]: Extracting #5: cost 0 inf + 1054 31.129 * [simplify]: Simplified to (cbrt (* (sin lambda2) (sin lambda1))) 31.129 * [simplify]: Simplified (2 2 1 2 2 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda2) (sin lambda1))))) (cos phi2))))))) 31.129 * * * * [progress]: [ 57 / 80 ] simplifiying candidate # 31.130 * [simplify]: Simplifying (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) 31.130 * * [simplify]: iters left: 6 (7 enodes) 31.133 * * [simplify]: iters left: 5 (32 enodes) 31.145 * * [simplify]: iters left: 4 (72 enodes) 31.175 * * [simplify]: iters left: 3 (126 enodes) 31.210 * * [simplify]: iters left: 2 (157 enodes) 31.243 * * [simplify]: iters left: 1 (231 enodes) 31.334 * * [simplify]: Extracting #0: cost 1 inf + 0 31.334 * * [simplify]: Extracting #1: cost 35 inf + 0 31.335 * * [simplify]: Extracting #2: cost 95 inf + 1 31.336 * * [simplify]: Extracting #3: cost 77 inf + 2691 31.341 * * [simplify]: Extracting #4: cost 18 inf + 23450 31.348 * * [simplify]: Extracting #5: cost 0 inf + 32321 31.356 * [simplify]: Simplified to (* (* (sin lambda2) (sin lambda1)) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))) 31.357 * [simplify]: Simplified (2 2 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (sin lambda2) (sin lambda1)) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))))) (cos phi2))))))) 31.357 * * * * [progress]: [ 58 / 80 ] simplifiying candidate # 31.357 * [simplify]: Simplifying (sqrt (* (sin lambda1) (sin lambda2))) 31.357 * * [simplify]: iters left: 4 (6 enodes) 31.360 * * [simplify]: iters left: 3 (19 enodes) 31.365 * * [simplify]: Extracting #0: cost 1 inf + 0 31.365 * * [simplify]: Extracting #1: cost 3 inf + 0 31.365 * * [simplify]: Extracting #2: cost 6 inf + 0 31.365 * * [simplify]: Extracting #3: cost 10 inf + 0 31.365 * * [simplify]: Extracting #4: cost 6 inf + 124 31.365 * * [simplify]: Extracting #5: cost 0 inf + 974 31.366 * [simplify]: Simplified to (sqrt (* (sin lambda2) (sin lambda1))) 31.366 * [simplify]: Simplified (2 2 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sqrt (* (sin lambda2) (sin lambda1))) (sqrt (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 31.366 * [simplify]: Simplifying (sqrt (* (sin lambda1) (sin lambda2))) 31.366 * * [simplify]: iters left: 4 (6 enodes) 31.369 * * [simplify]: iters left: 3 (19 enodes) 31.374 * * [simplify]: Extracting #0: cost 1 inf + 0 31.374 * * [simplify]: Extracting #1: cost 3 inf + 0 31.374 * * [simplify]: Extracting #2: cost 6 inf + 0 31.374 * * [simplify]: Extracting #3: cost 10 inf + 0 31.374 * * [simplify]: Extracting #4: cost 6 inf + 124 31.374 * * [simplify]: Extracting #5: cost 0 inf + 974 31.374 * [simplify]: Simplified to (sqrt (* (sin lambda2) (sin lambda1))) 31.375 * [simplify]: Simplified (2 2 1 2 2 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda2) (sin lambda1))))) (cos phi2))))))) 31.375 * * * * [progress]: [ 59 / 80 ] simplifiying candidate # 31.375 * * * * [progress]: [ 60 / 80 ] simplifiying candidate # 31.375 * [simplify]: Simplifying (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) 31.375 * * [simplify]: iters left: 4 (7 enodes) 31.382 * * [simplify]: iters left: 3 (22 enodes) 31.387 * * [simplify]: Extracting #0: cost 1 inf + 0 31.387 * * [simplify]: Extracting #1: cost 4 inf + 0 31.387 * * [simplify]: Extracting #2: cost 8 inf + 0 31.388 * * [simplify]: Extracting #3: cost 12 inf + 0 31.388 * * [simplify]: Extracting #4: cost 10 inf + 2 31.388 * * [simplify]: Extracting #5: cost 4 inf + 448 31.388 * * [simplify]: Extracting #6: cost 1 inf + 892 31.388 * * [simplify]: Extracting #7: cost 0 inf + 1134 31.389 * [simplify]: Simplified to (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) 31.389 * [simplify]: Simplified (2 2 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))))) (cos phi2))))))) 31.389 * [simplify]: Simplifying (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) 31.389 * * [simplify]: iters left: 4 (7 enodes) 31.392 * * [simplify]: iters left: 3 (22 enodes) 31.395 * * [simplify]: Extracting #0: cost 1 inf + 0 31.395 * * [simplify]: Extracting #1: cost 4 inf + 0 31.395 * * [simplify]: Extracting #2: cost 8 inf + 0 31.395 * * [simplify]: Extracting #3: cost 12 inf + 0 31.395 * * [simplify]: Extracting #4: cost 10 inf + 2 31.395 * * [simplify]: Extracting #5: cost 4 inf + 448 31.395 * * [simplify]: Extracting #6: cost 1 inf + 892 31.396 * * [simplify]: Extracting #7: cost 0 inf + 1134 31.396 * [simplify]: Simplified to (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) 31.396 * [simplify]: Simplified (2 2 1 2 2 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))))) (cos phi2))))))) 31.396 * * * * [progress]: [ 61 / 80 ] simplifiying candidate # 31.396 * [simplify]: Simplifying (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) 31.396 * * [simplify]: iters left: 6 (7 enodes) 31.398 * * [simplify]: iters left: 5 (24 enodes) 31.401 * * [simplify]: iters left: 4 (28 enodes) 31.404 * * [simplify]: Extracting #0: cost 1 inf + 0 31.404 * * [simplify]: Extracting #1: cost 6 inf + 0 31.404 * * [simplify]: Extracting #2: cost 12 inf + 0 31.405 * * [simplify]: Extracting #3: cost 13 inf + 1 31.405 * * [simplify]: Extracting #4: cost 8 inf + 246 31.405 * * [simplify]: Extracting #5: cost 3 inf + 1193 31.405 * * [simplify]: Extracting #6: cost 1 inf + 1656 31.406 * * [simplify]: Extracting #7: cost 0 inf + 1938 31.406 * [simplify]: Simplified to (* (* (sin lambda1) (cbrt (sin lambda2))) (cbrt (sin lambda2))) 31.406 * [simplify]: Simplified (2 2 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (* (* (sin lambda1) (cbrt (sin lambda2))) (cbrt (sin lambda2))) (cbrt (sin lambda2)))) (cos phi2))))))) 31.406 * * * * [progress]: [ 62 / 80 ] simplifiying candidate # 31.406 * [simplify]: Simplifying (* (sin lambda1) (sqrt (sin lambda2))) 31.406 * * [simplify]: iters left: 4 (6 enodes) 31.407 * * [simplify]: iters left: 3 (19 enodes) 31.410 * * [simplify]: Extracting #0: cost 1 inf + 0 31.410 * * [simplify]: Extracting #1: cost 4 inf + 0 31.410 * * [simplify]: Extracting #2: cost 8 inf + 0 31.410 * * [simplify]: Extracting #3: cost 9 inf + 1 31.410 * * [simplify]: Extracting #4: cost 0 inf + 852 31.410 * [simplify]: Simplified to (* (sin lambda1) (sqrt (sin lambda2))) 31.410 * [simplify]: Simplified (2 2 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (* (sin lambda1) (sqrt (sin lambda2))) (sqrt (sin lambda2)))) (cos phi2))))))) 31.410 * * * * [progress]: [ 63 / 80 ] simplifiying candidate # 31.410 * [simplify]: Simplifying (* (sin lambda1) 1) 31.411 * * [simplify]: iters left: 3 (4 enodes) 31.412 * * [simplify]: iters left: 2 (13 enodes) 31.414 * * [simplify]: iters left: 1 (17 enodes) 31.417 * * [simplify]: Extracting #0: cost 1 inf + 0 31.417 * * [simplify]: Extracting #1: cost 4 inf + 0 31.417 * * [simplify]: Extracting #2: cost 0 inf + 124 31.417 * [simplify]: Simplified to (sin lambda1) 31.417 * [simplify]: Simplified (2 2 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 31.417 * * * * [progress]: [ 64 / 80 ] simplifiying candidate # 31.417 * [simplify]: Simplifying (* (cbrt (sin lambda1)) (sin lambda2)) 31.417 * * [simplify]: iters left: 4 (6 enodes) 31.419 * * [simplify]: iters left: 3 (19 enodes) 31.422 * * [simplify]: Extracting #0: cost 1 inf + 0 31.422 * * [simplify]: Extracting #1: cost 4 inf + 0 31.422 * * [simplify]: Extracting #2: cost 8 inf + 0 31.422 * * [simplify]: Extracting #3: cost 7 inf + 123 31.422 * * [simplify]: Extracting #4: cost 6 inf + 124 31.422 * * [simplify]: Extracting #5: cost 0 inf + 1012 31.423 * [simplify]: Simplified to (* (sin lambda2) (cbrt (sin lambda1))) 31.423 * [simplify]: Simplified (2 2 1 2 2 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (* (cbrt (sin lambda1)) (cbrt (sin lambda1))) (* (sin lambda2) (cbrt (sin lambda1))))) (cos phi2))))))) 31.423 * * * * [progress]: [ 65 / 80 ] simplifiying candidate # 31.423 * [simplify]: Simplifying (* (sqrt (sin lambda1)) (sin lambda2)) 31.423 * * [simplify]: iters left: 4 (6 enodes) 31.426 * * [simplify]: iters left: 3 (19 enodes) 31.431 * * [simplify]: Extracting #0: cost 1 inf + 0 31.431 * * [simplify]: Extracting #1: cost 4 inf + 0 31.431 * * [simplify]: Extracting #2: cost 8 inf + 0 31.431 * * [simplify]: Extracting #3: cost 7 inf + 123 31.431 * * [simplify]: Extracting #4: cost 6 inf + 124 31.431 * * [simplify]: Extracting #5: cost 0 inf + 852 31.431 * [simplify]: Simplified to (* (sin lambda2) (sqrt (sin lambda1))) 31.432 * [simplify]: Simplified (2 2 1 2 2 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sqrt (sin lambda1)) (* (sin lambda2) (sqrt (sin lambda1))))) (cos phi2))))))) 31.432 * * * * [progress]: [ 66 / 80 ] simplifiying candidate # 31.432 * [simplify]: Simplifying (* (sin lambda1) (sin lambda2)) 31.432 * * [simplify]: iters left: 3 (5 enodes) 31.434 * * [simplify]: iters left: 2 (16 enodes) 31.439 * * [simplify]: Extracting #0: cost 1 inf + 0 31.439 * * [simplify]: Extracting #1: cost 4 inf + 0 31.439 * * [simplify]: Extracting #2: cost 8 inf + 0 31.439 * * [simplify]: Extracting #3: cost 4 inf + 124 31.439 * * [simplify]: Extracting #4: cost 0 inf + 570 31.439 * [simplify]: Simplified to (* (sin lambda2) (sin lambda1)) 31.439 * [simplify]: Simplified (2 2 1 2 2 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* 1 (* (sin lambda2) (sin lambda1)))) (cos phi2))))))) 31.439 * * * * [progress]: [ 67 / 80 ] simplifiying candidate #real (real->posit16 (* (sin lambda1) (sin lambda2))))) (cos phi2)))))))> 31.440 * [simplify]: Simplifying (real->posit16 (* (sin lambda1) (sin lambda2))) 31.440 * * [simplify]: iters left: 4 (6 enodes) 31.442 * * [simplify]: iters left: 3 (16 enodes) 31.446 * * [simplify]: Extracting #0: cost 1 inf + 0 31.446 * * [simplify]: Extracting #1: cost 2 inf + 0 31.446 * * [simplify]: Extracting #2: cost 4 inf + 0 31.446 * * [simplify]: Extracting #3: cost 8 inf + 0 31.446 * * [simplify]: Extracting #4: cost 4 inf + 124 31.447 * * [simplify]: Extracting #5: cost 0 inf + 570 31.447 * [simplify]: Simplified to (real->posit16 (* (sin lambda2) (sin lambda1))) 31.447 * [simplify]: Simplified (2 2 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (posit16->real (real->posit16 (* (sin lambda2) (sin lambda1))))) (cos phi2))))))) 31.447 * * * * [progress]: [ 68 / 80 ] simplifiying candidate # 31.447 * * * * [progress]: [ 69 / 80 ] simplifiying candidate # 31.448 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 31.448 * * [simplify]: iters left: 6 (22 enodes) 31.453 * * [simplify]: iters left: 5 (84 enodes) 31.465 * * [simplify]: iters left: 4 (141 enodes) 31.505 * * [simplify]: iters left: 3 (241 enodes) 31.587 * * [simplify]: iters left: 2 (280 enodes) 31.671 * * [simplify]: Extracting #0: cost 1 inf + 0 31.671 * * [simplify]: Extracting #1: cost 3 inf + 0 31.671 * * [simplify]: Extracting #2: cost 10 inf + 0 31.671 * * [simplify]: Extracting #3: cost 46 inf + 0 31.672 * * [simplify]: Extracting #4: cost 80 inf + 0 31.673 * * [simplify]: Extracting #5: cost 63 inf + 1504 31.676 * * [simplify]: Extracting #6: cost 22 inf + 9796 31.682 * * [simplify]: Extracting #7: cost 5 inf + 17031 31.688 * * [simplify]: Extracting #8: cost 0 inf + 19888 31.695 * * [simplify]: Extracting #9: cost 0 inf + 19728 31.702 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) 31.702 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) 31.702 * * * * [progress]: [ 70 / 80 ] simplifiying candidate # 31.703 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 31.703 * * [simplify]: iters left: 6 (22 enodes) 31.708 * * [simplify]: iters left: 5 (84 enodes) 31.723 * * [simplify]: iters left: 4 (141 enodes) 31.759 * * [simplify]: iters left: 3 (241 enodes) 31.842 * * [simplify]: iters left: 2 (280 enodes) 31.882 * * [simplify]: Extracting #0: cost 1 inf + 0 31.882 * * [simplify]: Extracting #1: cost 3 inf + 0 31.882 * * [simplify]: Extracting #2: cost 10 inf + 0 31.882 * * [simplify]: Extracting #3: cost 46 inf + 0 31.882 * * [simplify]: Extracting #4: cost 80 inf + 0 31.883 * * [simplify]: Extracting #5: cost 58 inf + 2112 31.884 * * [simplify]: Extracting #6: cost 20 inf + 10221 31.887 * * [simplify]: Extracting #7: cost 2 inf + 18300 31.893 * * [simplify]: Extracting #8: cost 0 inf + 19888 31.900 * * [simplify]: Extracting #9: cost 0 inf + 19728 31.907 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) 31.907 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))))) 31.907 * * * * [progress]: [ 71 / 80 ] simplifiying candidate # 31.908 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 31.908 * * [simplify]: iters left: 6 (22 enodes) 31.919 * * [simplify]: iters left: 5 (84 enodes) 31.944 * * [simplify]: iters left: 4 (141 enodes) 31.993 * * [simplify]: iters left: 3 (241 enodes) 32.041 * * [simplify]: iters left: 2 (280 enodes) 32.121 * * [simplify]: Extracting #0: cost 1 inf + 0 32.121 * * [simplify]: Extracting #1: cost 3 inf + 0 32.121 * * [simplify]: Extracting #2: cost 10 inf + 0 32.121 * * [simplify]: Extracting #3: cost 46 inf + 0 32.122 * * [simplify]: Extracting #4: cost 80 inf + 0 32.123 * * [simplify]: Extracting #5: cost 63 inf + 1504 32.126 * * [simplify]: Extracting #6: cost 22 inf + 9796 32.131 * * [simplify]: Extracting #7: cost 5 inf + 17031 32.140 * * [simplify]: Extracting #8: cost 0 inf + 19888 32.146 * * [simplify]: Extracting #9: cost 0 inf + 19728 32.149 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) 32.149 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) 32.150 * * * * [progress]: [ 72 / 80 ] simplifiying candidate # 32.150 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 32.150 * * [simplify]: iters left: 6 (24 enodes) 32.155 * * [simplify]: iters left: 5 (91 enodes) 32.169 * * [simplify]: iters left: 4 (148 enodes) 32.208 * * [simplify]: iters left: 3 (248 enodes) 32.294 * * [simplify]: iters left: 2 (295 enodes) 32.354 * * [simplify]: Extracting #0: cost 1 inf + 0 32.354 * * [simplify]: Extracting #1: cost 4 inf + 0 32.354 * * [simplify]: Extracting #2: cost 5 inf + 1 32.354 * * [simplify]: Extracting #3: cost 12 inf + 1 32.354 * * [simplify]: Extracting #4: cost 48 inf + 1 32.355 * * [simplify]: Extracting #5: cost 82 inf + 1 32.355 * * [simplify]: Extracting #6: cost 71 inf + 634 32.358 * * [simplify]: Extracting #7: cost 31 inf + 8806 32.364 * * [simplify]: Extracting #8: cost 5 inf + 18631 32.372 * * [simplify]: Extracting #9: cost 1 inf + 20704 32.379 * * [simplify]: Extracting #10: cost 0 inf + 21559 32.386 * * [simplify]: Extracting #11: cost 0 inf + 21519 32.394 * [simplify]: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 32.394 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 32.394 * * * * [progress]: [ 73 / 80 ] simplifiying candidate # 32.395 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 32.395 * * [simplify]: iters left: 6 (24 enodes) 32.406 * * [simplify]: iters left: 5 (91 enodes) 32.433 * * [simplify]: iters left: 4 (148 enodes) 32.488 * * [simplify]: iters left: 3 (248 enodes) 32.573 * * [simplify]: iters left: 2 (292 enodes) 32.630 * * [simplify]: Extracting #0: cost 1 inf + 0 32.630 * * [simplify]: Extracting #1: cost 4 inf + 0 32.630 * * [simplify]: Extracting #2: cost 5 inf + 1 32.631 * * [simplify]: Extracting #3: cost 12 inf + 1 32.631 * * [simplify]: Extracting #4: cost 48 inf + 1 32.631 * * [simplify]: Extracting #5: cost 82 inf + 1 32.632 * * [simplify]: Extracting #6: cost 61 inf + 2052 32.635 * * [simplify]: Extracting #7: cost 23 inf + 9919 32.641 * * [simplify]: Extracting #8: cost 4 inf + 18021 32.645 * * [simplify]: Extracting #9: cost 1 inf + 20624 32.648 * * [simplify]: Extracting #10: cost 0 inf + 21519 32.652 * [simplify]: Simplified to (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R) 32.652 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R)) 32.652 * * * * [progress]: [ 74 / 80 ] simplifiying candidate # 32.652 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 32.652 * * [simplify]: iters left: 6 (24 enodes) 32.657 * * [simplify]: iters left: 5 (91 enodes) 32.671 * * [simplify]: iters left: 4 (148 enodes) 32.725 * * [simplify]: iters left: 3 (248 enodes) 32.782 * * [simplify]: iters left: 2 (295 enodes) 32.866 * * [simplify]: Extracting #0: cost 1 inf + 0 32.866 * * [simplify]: Extracting #1: cost 4 inf + 0 32.866 * * [simplify]: Extracting #2: cost 5 inf + 1 32.866 * * [simplify]: Extracting #3: cost 12 inf + 1 32.866 * * [simplify]: Extracting #4: cost 48 inf + 1 32.866 * * [simplify]: Extracting #5: cost 82 inf + 1 32.867 * * [simplify]: Extracting #6: cost 71 inf + 634 32.868 * * [simplify]: Extracting #7: cost 31 inf + 8806 32.871 * * [simplify]: Extracting #8: cost 5 inf + 18631 32.874 * * [simplify]: Extracting #9: cost 1 inf + 20704 32.878 * * [simplify]: Extracting #10: cost 0 inf + 21559 32.882 * * [simplify]: Extracting #11: cost 0 inf + 21519 32.886 * [simplify]: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 32.886 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 32.886 * * * * [progress]: [ 75 / 80 ] simplifiying candidate # 32.887 * [simplify]: Simplifying (* phi1 phi2) 32.887 * * [simplify]: iters left: 2 (3 enodes) 32.887 * * [simplify]: iters left: 1 (10 enodes) 32.888 * * [simplify]: Extracting #0: cost 1 inf + 0 32.888 * * [simplify]: Extracting #1: cost 4 inf + 0 32.888 * * [simplify]: Extracting #2: cost 2 inf + 2 32.889 * * [simplify]: Extracting #3: cost 0 inf + 86 32.889 * [simplify]: Simplified to (* phi1 phi2) 32.889 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* phi1 phi2) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 32.889 * * * * [progress]: [ 76 / 80 ] simplifiying candidate # 32.889 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 32.889 * * [simplify]: iters left: 3 (5 enodes) 32.890 * * [simplify]: iters left: 2 (16 enodes) 32.892 * * [simplify]: Extracting #0: cost 1 inf + 0 32.892 * * [simplify]: Extracting #1: cost 4 inf + 0 32.892 * * [simplify]: Extracting #2: cost 8 inf + 0 32.892 * * [simplify]: Extracting #3: cost 4 inf + 124 32.892 * * [simplify]: Extracting #4: cost 0 inf + 570 32.892 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 32.892 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 32.892 * * * * [progress]: [ 77 / 80 ] simplifiying candidate # 32.893 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 32.893 * * [simplify]: iters left: 3 (5 enodes) 32.894 * * [simplify]: iters left: 2 (16 enodes) 32.896 * * [simplify]: Extracting #0: cost 1 inf + 0 32.896 * * [simplify]: Extracting #1: cost 4 inf + 0 32.896 * * [simplify]: Extracting #2: cost 8 inf + 0 32.896 * * [simplify]: Extracting #3: cost 4 inf + 124 32.896 * * [simplify]: Extracting #4: cost 0 inf + 570 32.896 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 32.896 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 32.896 * * * * [progress]: [ 78 / 80 ] simplifiying candidate # 32.897 * [simplify]: Simplifying (* lambda2 lambda1) 32.897 * * [simplify]: iters left: 2 (3 enodes) 32.897 * * [simplify]: iters left: 1 (10 enodes) 32.898 * * [simplify]: Extracting #0: cost 1 inf + 0 32.898 * * [simplify]: Extracting #1: cost 4 inf + 0 32.898 * * [simplify]: Extracting #2: cost 2 inf + 2 32.899 * * [simplify]: Extracting #3: cost 0 inf + 86 32.899 * [simplify]: Simplified to (* lambda2 lambda1) 32.899 * [simplify]: Simplified (2 2 1 2 2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* lambda2 lambda1)) (cos phi2))))))) 32.899 * * * * [progress]: [ 79 / 80 ] simplifiying candidate # 32.899 * [simplify]: Simplifying (* (sin lambda2) (sin lambda1)) 32.899 * * [simplify]: iters left: 3 (5 enodes) 32.900 * * [simplify]: iters left: 2 (16 enodes) 32.904 * * [simplify]: Extracting #0: cost 1 inf + 0 32.904 * * [simplify]: Extracting #1: cost 4 inf + 0 32.904 * * [simplify]: Extracting #2: cost 8 inf + 0 32.904 * * [simplify]: Extracting #3: cost 4 inf + 124 32.904 * * [simplify]: Extracting #4: cost 0 inf + 570 32.904 * [simplify]: Simplified to (* (sin lambda1) (sin lambda2)) 32.904 * [simplify]: Simplified (2 2 1 2 2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 32.905 * * * * [progress]: [ 80 / 80 ] simplifiying candidate # 32.905 * [simplify]: Simplifying (* (sin lambda1) (sin lambda2)) 32.905 * * [simplify]: iters left: 3 (5 enodes) 32.907 * * [simplify]: iters left: 2 (16 enodes) 32.911 * * [simplify]: Extracting #0: cost 1 inf + 0 32.911 * * [simplify]: Extracting #1: cost 4 inf + 0 32.911 * * [simplify]: Extracting #2: cost 8 inf + 0 32.911 * * [simplify]: Extracting #3: cost 4 inf + 124 32.912 * * [simplify]: Extracting #4: cost 0 inf + 570 32.912 * [simplify]: Simplified to (* (sin lambda2) (sin lambda1)) 32.912 * [simplify]: Simplified (2 2 1 2 2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi2))))))) 32.912 * * * [progress]: adding candidates to table 34.514 * * [progress]: iteration 4 / 4 34.514 * * * [progress]: picking best candidate 34.689 * * * * [pick]: Picked # 34.689 * * * [progress]: localizing error 34.778 * * * [progress]: generating rewritten candidates 34.778 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 34.782 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 34.800 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 34.803 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 34.816 * * * [progress]: generating series expansions 34.816 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 34.816 * [backup-simplify]: Simplify (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 34.816 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi2 phi1 lambda2 lambda1) around 0 34.816 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 34.817 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 34.817 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 34.817 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 34.817 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 34.817 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 34.817 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 34.817 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 34.818 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 34.818 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 34.818 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 34.818 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 34.818 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 34.819 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 34.819 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 34.819 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 34.819 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 34.819 * [taylor]: Taking taylor expansion of 0 in phi1 34.819 * [backup-simplify]: Simplify 0 into 0 34.819 * [taylor]: Taking taylor expansion of 0 in lambda2 34.819 * [backup-simplify]: Simplify 0 into 0 34.819 * [taylor]: Taking taylor expansion of 0 in lambda1 34.819 * [backup-simplify]: Simplify 0 into 0 34.819 * [backup-simplify]: Simplify 0 into 0 34.819 * [taylor]: Taking taylor expansion of 0 in lambda2 34.819 * [backup-simplify]: Simplify 0 into 0 34.819 * [taylor]: Taking taylor expansion of 0 in lambda1 34.819 * [backup-simplify]: Simplify 0 into 0 34.819 * [backup-simplify]: Simplify 0 into 0 34.819 * [taylor]: Taking taylor expansion of 0 in lambda1 34.819 * [backup-simplify]: Simplify 0 into 0 34.819 * [backup-simplify]: Simplify 0 into 0 34.819 * [backup-simplify]: Simplify 0 into 0 34.820 * [taylor]: Taking taylor expansion of 0 in phi1 34.820 * [backup-simplify]: Simplify 0 into 0 34.820 * [taylor]: Taking taylor expansion of 0 in lambda2 34.820 * [backup-simplify]: Simplify 0 into 0 34.820 * [taylor]: Taking taylor expansion of 0 in lambda1 34.820 * [backup-simplify]: Simplify 0 into 0 34.820 * [backup-simplify]: Simplify 0 into 0 34.820 * [taylor]: Taking taylor expansion of 0 in lambda2 34.820 * [backup-simplify]: Simplify 0 into 0 34.820 * [taylor]: Taking taylor expansion of 0 in lambda1 34.820 * [backup-simplify]: Simplify 0 into 0 34.820 * [backup-simplify]: Simplify 0 into 0 34.820 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 34.820 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi1)) (* (+ (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ 1 phi2)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 34.820 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in (phi2 phi1 lambda2 lambda1) around 0 34.820 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda1 34.821 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 34.821 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda2 34.821 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 34.821 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi1 34.822 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 34.822 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi2 34.822 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 34.822 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi2 34.823 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 34.823 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi1 34.823 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 34.823 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda2 34.823 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 34.823 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda1 34.824 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 34.824 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 34.824 * [taylor]: Taking taylor expansion of 0 in phi1 34.824 * [backup-simplify]: Simplify 0 into 0 34.824 * [taylor]: Taking taylor expansion of 0 in lambda2 34.824 * [backup-simplify]: Simplify 0 into 0 34.824 * [taylor]: Taking taylor expansion of 0 in lambda1 34.824 * [backup-simplify]: Simplify 0 into 0 34.824 * [backup-simplify]: Simplify 0 into 0 34.825 * [taylor]: Taking taylor expansion of 0 in lambda2 34.825 * [backup-simplify]: Simplify 0 into 0 34.825 * [taylor]: Taking taylor expansion of 0 in lambda1 34.825 * [backup-simplify]: Simplify 0 into 0 34.825 * [backup-simplify]: Simplify 0 into 0 34.825 * [taylor]: Taking taylor expansion of 0 in lambda1 34.825 * [backup-simplify]: Simplify 0 into 0 34.825 * [backup-simplify]: Simplify 0 into 0 34.825 * [backup-simplify]: Simplify 0 into 0 34.825 * [taylor]: Taking taylor expansion of 0 in phi1 34.825 * [backup-simplify]: Simplify 0 into 0 34.825 * [taylor]: Taking taylor expansion of 0 in lambda2 34.825 * [backup-simplify]: Simplify 0 into 0 34.825 * [taylor]: Taking taylor expansion of 0 in lambda1 34.825 * [backup-simplify]: Simplify 0 into 0 34.825 * [backup-simplify]: Simplify 0 into 0 34.825 * [taylor]: Taking taylor expansion of 0 in lambda2 34.825 * [backup-simplify]: Simplify 0 into 0 34.825 * [taylor]: Taking taylor expansion of 0 in lambda1 34.825 * [backup-simplify]: Simplify 0 into 0 34.825 * [backup-simplify]: Simplify 0 into 0 34.825 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 34.826 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (cos (/ 1 (- phi1))) (* (+ (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (cos (/ 1 (- phi2))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 34.826 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in (phi2 phi1 lambda2 lambda1) around 0 34.826 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 34.826 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 34.826 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 34.827 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 34.827 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 34.827 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 34.827 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 34.828 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 34.828 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 34.828 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 34.828 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi1 34.829 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 34.829 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 34.829 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 34.829 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda1 34.830 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 34.830 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 34.830 * [taylor]: Taking taylor expansion of 0 in phi1 34.830 * [backup-simplify]: Simplify 0 into 0 34.830 * [taylor]: Taking taylor expansion of 0 in lambda2 34.830 * [backup-simplify]: Simplify 0 into 0 34.830 * [taylor]: Taking taylor expansion of 0 in lambda1 34.830 * [backup-simplify]: Simplify 0 into 0 34.830 * [backup-simplify]: Simplify 0 into 0 34.830 * [taylor]: Taking taylor expansion of 0 in lambda2 34.830 * [backup-simplify]: Simplify 0 into 0 34.830 * [taylor]: Taking taylor expansion of 0 in lambda1 34.830 * [backup-simplify]: Simplify 0 into 0 34.830 * [backup-simplify]: Simplify 0 into 0 34.830 * [taylor]: Taking taylor expansion of 0 in lambda1 34.830 * [backup-simplify]: Simplify 0 into 0 34.830 * [backup-simplify]: Simplify 0 into 0 34.830 * [backup-simplify]: Simplify 0 into 0 34.830 * [taylor]: Taking taylor expansion of 0 in phi1 34.830 * [backup-simplify]: Simplify 0 into 0 34.830 * [taylor]: Taking taylor expansion of 0 in lambda2 34.830 * [backup-simplify]: Simplify 0 into 0 34.830 * [taylor]: Taking taylor expansion of 0 in lambda1 34.831 * [backup-simplify]: Simplify 0 into 0 34.831 * [backup-simplify]: Simplify 0 into 0 34.831 * [taylor]: Taking taylor expansion of 0 in lambda2 34.831 * [backup-simplify]: Simplify 0 into 0 34.831 * [taylor]: Taking taylor expansion of 0 in lambda1 34.831 * [backup-simplify]: Simplify 0 into 0 34.831 * [backup-simplify]: Simplify 0 into 0 34.831 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 34.831 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 34.832 * [backup-simplify]: Simplify (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 34.832 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi2 phi1 lambda2 lambda1) around 0 34.832 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 34.832 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 34.832 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 34.832 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 34.832 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 34.832 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 34.833 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 34.833 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 34.833 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 34.833 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 34.833 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 34.833 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 34.833 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 34.834 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 34.834 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 34.834 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 34.834 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 34.834 * [taylor]: Taking taylor expansion of 0 in phi1 34.834 * [backup-simplify]: Simplify 0 into 0 34.834 * [taylor]: Taking taylor expansion of 0 in lambda2 34.834 * [backup-simplify]: Simplify 0 into 0 34.835 * [taylor]: Taking taylor expansion of 0 in lambda1 34.835 * [backup-simplify]: Simplify 0 into 0 34.835 * [backup-simplify]: Simplify 0 into 0 34.835 * [taylor]: Taking taylor expansion of 0 in lambda2 34.835 * [backup-simplify]: Simplify 0 into 0 34.835 * [taylor]: Taking taylor expansion of 0 in lambda1 34.835 * [backup-simplify]: Simplify 0 into 0 34.835 * [backup-simplify]: Simplify 0 into 0 34.835 * [taylor]: Taking taylor expansion of 0 in lambda1 34.835 * [backup-simplify]: Simplify 0 into 0 34.835 * [backup-simplify]: Simplify 0 into 0 34.835 * [backup-simplify]: Simplify 0 into 0 34.835 * [taylor]: Taking taylor expansion of 0 in phi1 34.835 * [backup-simplify]: Simplify 0 into 0 34.835 * [taylor]: Taking taylor expansion of 0 in lambda2 34.835 * [backup-simplify]: Simplify 0 into 0 34.835 * [taylor]: Taking taylor expansion of 0 in lambda1 34.835 * [backup-simplify]: Simplify 0 into 0 34.835 * [backup-simplify]: Simplify 0 into 0 34.835 * [taylor]: Taking taylor expansion of 0 in lambda2 34.835 * [backup-simplify]: Simplify 0 into 0 34.835 * [taylor]: Taking taylor expansion of 0 in lambda1 34.835 * [backup-simplify]: Simplify 0 into 0 34.835 * [backup-simplify]: Simplify 0 into 0 34.835 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 34.836 * [backup-simplify]: Simplify (log (exp (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi1)) (* (+ (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ 1 phi2)))))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 34.836 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in (phi2 phi1 lambda2 lambda1) around 0 34.836 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda1 34.836 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 34.836 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda2 34.837 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 34.837 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi1 34.837 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 34.837 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi2 34.837 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 34.837 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi2 34.838 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 34.838 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi1 34.838 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 34.838 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda2 34.839 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 34.839 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda1 34.839 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 34.840 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 34.840 * [taylor]: Taking taylor expansion of 0 in phi1 34.840 * [backup-simplify]: Simplify 0 into 0 34.840 * [taylor]: Taking taylor expansion of 0 in lambda2 34.840 * [backup-simplify]: Simplify 0 into 0 34.840 * [taylor]: Taking taylor expansion of 0 in lambda1 34.840 * [backup-simplify]: Simplify 0 into 0 34.840 * [backup-simplify]: Simplify 0 into 0 34.840 * [taylor]: Taking taylor expansion of 0 in lambda2 34.840 * [backup-simplify]: Simplify 0 into 0 34.840 * [taylor]: Taking taylor expansion of 0 in lambda1 34.840 * [backup-simplify]: Simplify 0 into 0 34.840 * [backup-simplify]: Simplify 0 into 0 34.840 * [taylor]: Taking taylor expansion of 0 in lambda1 34.840 * [backup-simplify]: Simplify 0 into 0 34.840 * [backup-simplify]: Simplify 0 into 0 34.840 * [backup-simplify]: Simplify 0 into 0 34.840 * [taylor]: Taking taylor expansion of 0 in phi1 34.840 * [backup-simplify]: Simplify 0 into 0 34.840 * [taylor]: Taking taylor expansion of 0 in lambda2 34.840 * [backup-simplify]: Simplify 0 into 0 34.840 * [taylor]: Taking taylor expansion of 0 in lambda1 34.840 * [backup-simplify]: Simplify 0 into 0 34.840 * [backup-simplify]: Simplify 0 into 0 34.840 * [taylor]: Taking taylor expansion of 0 in lambda2 34.840 * [backup-simplify]: Simplify 0 into 0 34.840 * [taylor]: Taking taylor expansion of 0 in lambda1 34.840 * [backup-simplify]: Simplify 0 into 0 34.840 * [backup-simplify]: Simplify 0 into 0 34.841 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 34.841 * [backup-simplify]: Simplify (log (exp (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (cos (/ 1 (- phi1))) (* (+ (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (cos (/ 1 (- phi2))))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 34.841 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in (phi2 phi1 lambda2 lambda1) around 0 34.841 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 34.842 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 34.842 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 34.842 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 34.842 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 34.842 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 34.842 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 34.843 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 34.843 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 34.843 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 34.843 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi1 34.844 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 34.844 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 34.844 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 34.844 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda1 34.845 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 34.846 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 34.846 * [taylor]: Taking taylor expansion of 0 in phi1 34.846 * [backup-simplify]: Simplify 0 into 0 34.846 * [taylor]: Taking taylor expansion of 0 in lambda2 34.846 * [backup-simplify]: Simplify 0 into 0 34.846 * [taylor]: Taking taylor expansion of 0 in lambda1 34.846 * [backup-simplify]: Simplify 0 into 0 34.846 * [backup-simplify]: Simplify 0 into 0 34.846 * [taylor]: Taking taylor expansion of 0 in lambda2 34.846 * [backup-simplify]: Simplify 0 into 0 34.846 * [taylor]: Taking taylor expansion of 0 in lambda1 34.846 * [backup-simplify]: Simplify 0 into 0 34.846 * [backup-simplify]: Simplify 0 into 0 34.847 * [taylor]: Taking taylor expansion of 0 in lambda1 34.847 * [backup-simplify]: Simplify 0 into 0 34.847 * [backup-simplify]: Simplify 0 into 0 34.847 * [backup-simplify]: Simplify 0 into 0 34.847 * [taylor]: Taking taylor expansion of 0 in phi1 34.847 * [backup-simplify]: Simplify 0 into 0 34.847 * [taylor]: Taking taylor expansion of 0 in lambda2 34.847 * [backup-simplify]: Simplify 0 into 0 34.847 * [taylor]: Taking taylor expansion of 0 in lambda1 34.847 * [backup-simplify]: Simplify 0 into 0 34.847 * [backup-simplify]: Simplify 0 into 0 34.847 * [taylor]: Taking taylor expansion of 0 in lambda2 34.847 * [backup-simplify]: Simplify 0 into 0 34.847 * [taylor]: Taking taylor expansion of 0 in lambda1 34.847 * [backup-simplify]: Simplify 0 into 0 34.847 * [backup-simplify]: Simplify 0 into 0 34.848 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 34.848 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 34.849 * [backup-simplify]: Simplify (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 34.849 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in (phi2 phi1 lambda2 lambda1) around 0 34.849 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 34.849 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 34.849 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 34.850 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 34.850 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 34.850 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 34.851 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 34.851 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 34.851 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 34.851 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 34.852 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 34.853 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 34.853 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 34.853 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 34.853 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 34.854 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 34.854 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 34.854 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 34.854 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 34.855 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 34.855 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 34.855 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 34.856 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 34.856 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 34.856 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 34.856 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 34.857 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 34.858 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 34.858 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 34.858 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 34.858 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 34.859 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 34.859 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 34.862 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 34.862 * [taylor]: Taking taylor expansion of 0 in phi1 34.862 * [backup-simplify]: Simplify 0 into 0 34.862 * [taylor]: Taking taylor expansion of 0 in lambda2 34.862 * [backup-simplify]: Simplify 0 into 0 34.862 * [taylor]: Taking taylor expansion of 0 in lambda1 34.862 * [backup-simplify]: Simplify 0 into 0 34.862 * [backup-simplify]: Simplify 0 into 0 34.863 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 34.863 * [taylor]: Taking taylor expansion of 0 in lambda2 34.863 * [backup-simplify]: Simplify 0 into 0 34.863 * [taylor]: Taking taylor expansion of 0 in lambda1 34.863 * [backup-simplify]: Simplify 0 into 0 34.863 * [backup-simplify]: Simplify 0 into 0 34.865 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 34.865 * [taylor]: Taking taylor expansion of 0 in lambda1 34.865 * [backup-simplify]: Simplify 0 into 0 34.865 * [backup-simplify]: Simplify 0 into 0 34.867 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 34.867 * [backup-simplify]: Simplify 0 into 0 34.869 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 34.869 * [taylor]: Taking taylor expansion of 0 in phi1 34.869 * [backup-simplify]: Simplify 0 into 0 34.869 * [taylor]: Taking taylor expansion of 0 in lambda2 34.869 * [backup-simplify]: Simplify 0 into 0 34.869 * [taylor]: Taking taylor expansion of 0 in lambda1 34.869 * [backup-simplify]: Simplify 0 into 0 34.869 * [backup-simplify]: Simplify 0 into 0 34.869 * [taylor]: Taking taylor expansion of 0 in lambda2 34.869 * [backup-simplify]: Simplify 0 into 0 34.869 * [taylor]: Taking taylor expansion of 0 in lambda1 34.869 * [backup-simplify]: Simplify 0 into 0 34.869 * [backup-simplify]: Simplify 0 into 0 34.870 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 34.871 * [backup-simplify]: Simplify (exp (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi1)) (* (+ (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ 1 phi2))))))) into (exp (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) 34.871 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) in (phi2 phi1 lambda2 lambda1) around 0 34.871 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) in lambda1 34.871 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda1 34.872 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 34.873 * [backup-simplify]: Simplify (exp (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) into (exp (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) 34.873 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) in lambda2 34.873 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda2 34.873 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 34.874 * [backup-simplify]: Simplify (exp (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) into (exp (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) 34.874 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) in phi1 34.874 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi1 34.875 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 34.876 * [backup-simplify]: Simplify (exp (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) into (exp (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) 34.876 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) in phi2 34.876 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi2 34.877 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 34.878 * [backup-simplify]: Simplify (exp (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) into (exp (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) 34.878 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) in phi2 34.878 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi2 34.878 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 34.879 * [backup-simplify]: Simplify (exp (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) into (exp (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) 34.879 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) in phi1 34.879 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi1 34.880 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 34.881 * [backup-simplify]: Simplify (exp (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) into (exp (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) 34.881 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) in lambda2 34.881 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda2 34.882 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 35.255 * [backup-simplify]: Simplify (exp (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) into (exp (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) 35.256 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) in lambda1 35.256 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda1 35.256 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 35.257 * [backup-simplify]: Simplify (exp (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) into (exp (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) 35.258 * [backup-simplify]: Simplify (exp (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) into (exp (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) 35.260 * [backup-simplify]: Simplify (* (exp (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 35.260 * [taylor]: Taking taylor expansion of 0 in phi1 35.260 * [backup-simplify]: Simplify 0 into 0 35.260 * [taylor]: Taking taylor expansion of 0 in lambda2 35.260 * [backup-simplify]: Simplify 0 into 0 35.260 * [taylor]: Taking taylor expansion of 0 in lambda1 35.260 * [backup-simplify]: Simplify 0 into 0 35.260 * [backup-simplify]: Simplify 0 into 0 35.262 * [backup-simplify]: Simplify (* (exp (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 35.262 * [taylor]: Taking taylor expansion of 0 in lambda2 35.262 * [backup-simplify]: Simplify 0 into 0 35.262 * [taylor]: Taking taylor expansion of 0 in lambda1 35.262 * [backup-simplify]: Simplify 0 into 0 35.262 * [backup-simplify]: Simplify 0 into 0 35.264 * [backup-simplify]: Simplify (* (exp (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 35.264 * [taylor]: Taking taylor expansion of 0 in lambda1 35.264 * [backup-simplify]: Simplify 0 into 0 35.264 * [backup-simplify]: Simplify 0 into 0 35.267 * [backup-simplify]: Simplify (* (exp (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 35.267 * [backup-simplify]: Simplify 0 into 0 35.269 * [backup-simplify]: Simplify (* (exp (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 35.269 * [taylor]: Taking taylor expansion of 0 in phi1 35.269 * [backup-simplify]: Simplify 0 into 0 35.269 * [taylor]: Taking taylor expansion of 0 in lambda2 35.269 * [backup-simplify]: Simplify 0 into 0 35.270 * [taylor]: Taking taylor expansion of 0 in lambda1 35.270 * [backup-simplify]: Simplify 0 into 0 35.270 * [backup-simplify]: Simplify 0 into 0 35.270 * [taylor]: Taking taylor expansion of 0 in lambda2 35.270 * [backup-simplify]: Simplify 0 into 0 35.270 * [taylor]: Taking taylor expansion of 0 in lambda1 35.270 * [backup-simplify]: Simplify 0 into 0 35.270 * [backup-simplify]: Simplify 0 into 0 35.271 * [backup-simplify]: Simplify (exp (acos (+ (* (sin (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) 35.272 * [backup-simplify]: Simplify (exp (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (cos (/ 1 (- phi1))) (* (+ (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (cos (/ 1 (- phi2)))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 35.272 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in (phi2 phi1 lambda2 lambda1) around 0 35.272 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda1 35.272 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 35.272 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 35.273 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 35.273 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda2 35.273 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 35.274 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 35.275 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 35.275 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi1 35.275 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 35.276 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 35.277 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 35.277 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi2 35.277 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 35.278 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 35.278 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 35.278 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi2 35.279 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 35.279 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 35.280 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 35.280 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi1 35.280 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 35.281 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 35.281 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 35.281 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda2 35.281 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 35.282 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 35.282 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 35.282 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda1 35.282 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 35.282 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 35.283 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 35.283 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) 35.284 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 35.285 * [taylor]: Taking taylor expansion of 0 in phi1 35.285 * [backup-simplify]: Simplify 0 into 0 35.285 * [taylor]: Taking taylor expansion of 0 in lambda2 35.285 * [backup-simplify]: Simplify 0 into 0 35.285 * [taylor]: Taking taylor expansion of 0 in lambda1 35.285 * [backup-simplify]: Simplify 0 into 0 35.285 * [backup-simplify]: Simplify 0 into 0 35.286 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 35.286 * [taylor]: Taking taylor expansion of 0 in lambda2 35.286 * [backup-simplify]: Simplify 0 into 0 35.286 * [taylor]: Taking taylor expansion of 0 in lambda1 35.286 * [backup-simplify]: Simplify 0 into 0 35.286 * [backup-simplify]: Simplify 0 into 0 35.287 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 35.287 * [taylor]: Taking taylor expansion of 0 in lambda1 35.287 * [backup-simplify]: Simplify 0 into 0 35.287 * [backup-simplify]: Simplify 0 into 0 35.287 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 35.288 * [backup-simplify]: Simplify 0 into 0 35.289 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 35.289 * [taylor]: Taking taylor expansion of 0 in phi1 35.289 * [backup-simplify]: Simplify 0 into 0 35.289 * [taylor]: Taking taylor expansion of 0 in lambda2 35.289 * [backup-simplify]: Simplify 0 into 0 35.289 * [taylor]: Taking taylor expansion of 0 in lambda1 35.289 * [backup-simplify]: Simplify 0 into 0 35.289 * [backup-simplify]: Simplify 0 into 0 35.289 * [taylor]: Taking taylor expansion of 0 in lambda2 35.289 * [backup-simplify]: Simplify 0 into 0 35.289 * [taylor]: Taking taylor expansion of 0 in lambda1 35.289 * [backup-simplify]: Simplify 0 into 0 35.289 * [backup-simplify]: Simplify 0 into 0 35.289 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2))))))))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 35.290 * * * * [progress]: [ 4 / 4 ] generating series at (2) 35.290 * [backup-simplify]: Simplify (* R (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 35.290 * [approximate]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in (R phi2 phi1 lambda2 lambda1) around 0 35.290 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 35.290 * [taylor]: Taking taylor expansion of R in lambda1 35.290 * [backup-simplify]: Simplify R into R 35.290 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 35.290 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 35.290 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 35.290 * [taylor]: Taking taylor expansion of R in lambda2 35.290 * [backup-simplify]: Simplify R into R 35.290 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 35.291 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 35.291 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 35.291 * [taylor]: Taking taylor expansion of R in phi1 35.291 * [backup-simplify]: Simplify R into R 35.291 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 35.291 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 35.291 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 35.291 * [taylor]: Taking taylor expansion of R in phi2 35.291 * [backup-simplify]: Simplify R into R 35.291 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 35.291 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 35.291 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R 35.291 * [taylor]: Taking taylor expansion of R in R 35.291 * [backup-simplify]: Simplify 0 into 0 35.291 * [backup-simplify]: Simplify 1 into 1 35.291 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R 35.292 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 35.292 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R 35.292 * [taylor]: Taking taylor expansion of R in R 35.292 * [backup-simplify]: Simplify 0 into 0 35.292 * [backup-simplify]: Simplify 1 into 1 35.292 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R 35.292 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 35.292 * [backup-simplify]: Simplify (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into 0 35.292 * [taylor]: Taking taylor expansion of 0 in phi2 35.292 * [backup-simplify]: Simplify 0 into 0 35.293 * [taylor]: Taking taylor expansion of 0 in phi1 35.293 * [backup-simplify]: Simplify 0 into 0 35.293 * [taylor]: Taking taylor expansion of 0 in lambda2 35.293 * [backup-simplify]: Simplify 0 into 0 35.293 * [taylor]: Taking taylor expansion of 0 in lambda1 35.293 * [backup-simplify]: Simplify 0 into 0 35.293 * [backup-simplify]: Simplify 0 into 0 35.293 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 35.293 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 35.294 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 35.294 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 35.294 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 35.294 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 35.294 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 35.294 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 35.295 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 35.295 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 35.295 * [taylor]: Taking taylor expansion of 0 in phi1 35.295 * [backup-simplify]: Simplify 0 into 0 35.295 * [taylor]: Taking taylor expansion of 0 in lambda2 35.295 * [backup-simplify]: Simplify 0 into 0 35.295 * [taylor]: Taking taylor expansion of 0 in lambda1 35.295 * [backup-simplify]: Simplify 0 into 0 35.295 * [backup-simplify]: Simplify 0 into 0 35.295 * [taylor]: Taking taylor expansion of 0 in lambda2 35.295 * [backup-simplify]: Simplify 0 into 0 35.295 * [taylor]: Taking taylor expansion of 0 in lambda1 35.295 * [backup-simplify]: Simplify 0 into 0 35.295 * [backup-simplify]: Simplify 0 into 0 35.295 * [taylor]: Taking taylor expansion of 0 in lambda1 35.295 * [backup-simplify]: Simplify 0 into 0 35.295 * [backup-simplify]: Simplify 0 into 0 35.295 * [backup-simplify]: Simplify 0 into 0 35.296 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 35.296 * [taylor]: Taking taylor expansion of 0 in phi2 35.296 * [backup-simplify]: Simplify 0 into 0 35.296 * [taylor]: Taking taylor expansion of 0 in phi1 35.296 * [backup-simplify]: Simplify 0 into 0 35.296 * [taylor]: Taking taylor expansion of 0 in lambda2 35.296 * [backup-simplify]: Simplify 0 into 0 35.296 * [taylor]: Taking taylor expansion of 0 in lambda1 35.296 * [backup-simplify]: Simplify 0 into 0 35.296 * [backup-simplify]: Simplify 0 into 0 35.296 * [taylor]: Taking taylor expansion of 0 in phi1 35.296 * [backup-simplify]: Simplify 0 into 0 35.296 * [taylor]: Taking taylor expansion of 0 in lambda2 35.296 * [backup-simplify]: Simplify 0 into 0 35.296 * [taylor]: Taking taylor expansion of 0 in lambda1 35.296 * [backup-simplify]: Simplify 0 into 0 35.296 * [backup-simplify]: Simplify 0 into 0 35.297 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* 1 (* 1 (* 1 (* 1 R))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 35.297 * [backup-simplify]: Simplify (* (/ 1 R) (log (exp (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi1)) (* (+ (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ 1 phi2))))))))) into (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) 35.297 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in (R phi2 phi1 lambda2 lambda1) around 0 35.297 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in lambda1 35.297 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda1 35.298 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 35.298 * [taylor]: Taking taylor expansion of R in lambda1 35.298 * [backup-simplify]: Simplify R into R 35.298 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) 35.298 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in lambda2 35.298 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda2 35.299 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 35.299 * [taylor]: Taking taylor expansion of R in lambda2 35.299 * [backup-simplify]: Simplify R into R 35.299 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) 35.299 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in phi1 35.299 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi1 35.300 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 35.300 * [taylor]: Taking taylor expansion of R in phi1 35.300 * [backup-simplify]: Simplify R into R 35.300 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) 35.300 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in phi2 35.300 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi2 35.300 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 35.300 * [taylor]: Taking taylor expansion of R in phi2 35.300 * [backup-simplify]: Simplify R into R 35.301 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) 35.301 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in R 35.301 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in R 35.301 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 35.301 * [taylor]: Taking taylor expansion of R in R 35.301 * [backup-simplify]: Simplify 0 into 0 35.301 * [backup-simplify]: Simplify 1 into 1 35.302 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 1) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 35.302 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in R 35.302 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in R 35.302 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 35.302 * [taylor]: Taking taylor expansion of R in R 35.302 * [backup-simplify]: Simplify 0 into 0 35.302 * [backup-simplify]: Simplify 1 into 1 35.303 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 1) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 35.303 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi2 35.303 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 35.303 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi1 35.304 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 35.304 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda2 35.304 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 35.304 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda1 35.305 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 35.305 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 35.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) (/ 0 1)))) into 0 35.306 * [taylor]: Taking taylor expansion of 0 in phi2 35.306 * [backup-simplify]: Simplify 0 into 0 35.306 * [taylor]: Taking taylor expansion of 0 in phi1 35.306 * [backup-simplify]: Simplify 0 into 0 35.306 * [taylor]: Taking taylor expansion of 0 in lambda2 35.306 * [backup-simplify]: Simplify 0 into 0 35.306 * [taylor]: Taking taylor expansion of 0 in lambda1 35.306 * [backup-simplify]: Simplify 0 into 0 35.306 * [backup-simplify]: Simplify 0 into 0 35.306 * [taylor]: Taking taylor expansion of 0 in phi1 35.306 * [backup-simplify]: Simplify 0 into 0 35.306 * [taylor]: Taking taylor expansion of 0 in lambda2 35.306 * [backup-simplify]: Simplify 0 into 0 35.306 * [taylor]: Taking taylor expansion of 0 in lambda1 35.306 * [backup-simplify]: Simplify 0 into 0 35.306 * [backup-simplify]: Simplify 0 into 0 35.307 * [taylor]: Taking taylor expansion of 0 in lambda2 35.307 * [backup-simplify]: Simplify 0 into 0 35.307 * [taylor]: Taking taylor expansion of 0 in lambda1 35.307 * [backup-simplify]: Simplify 0 into 0 35.307 * [backup-simplify]: Simplify 0 into 0 35.307 * [taylor]: Taking taylor expansion of 0 in lambda1 35.307 * [backup-simplify]: Simplify 0 into 0 35.307 * [backup-simplify]: Simplify 0 into 0 35.307 * [backup-simplify]: Simplify 0 into 0 35.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 35.308 * [taylor]: Taking taylor expansion of 0 in phi2 35.308 * [backup-simplify]: Simplify 0 into 0 35.308 * [taylor]: Taking taylor expansion of 0 in phi1 35.308 * [backup-simplify]: Simplify 0 into 0 35.308 * [taylor]: Taking taylor expansion of 0 in lambda2 35.308 * [backup-simplify]: Simplify 0 into 0 35.308 * [taylor]: Taking taylor expansion of 0 in lambda1 35.308 * [backup-simplify]: Simplify 0 into 0 35.308 * [backup-simplify]: Simplify 0 into 0 35.309 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1))))))) (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 R))))))) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 35.310 * [backup-simplify]: Simplify (* (/ 1 (- R)) (log (exp (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (cos (/ 1 (- phi1))) (* (+ (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (cos (/ 1 (- phi2)))))))))) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 35.310 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in (R phi2 phi1 lambda2 lambda1) around 0 35.310 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1 35.310 * [taylor]: Taking taylor expansion of -1 in lambda1 35.310 * [backup-simplify]: Simplify -1 into -1 35.310 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1 35.310 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 35.311 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 35.311 * [taylor]: Taking taylor expansion of R in lambda1 35.311 * [backup-simplify]: Simplify R into R 35.312 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 35.312 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda2 35.312 * [taylor]: Taking taylor expansion of -1 in lambda2 35.312 * [backup-simplify]: Simplify -1 into -1 35.312 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda2 35.312 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 35.313 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 35.313 * [taylor]: Taking taylor expansion of R in lambda2 35.313 * [backup-simplify]: Simplify R into R 35.314 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 35.314 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1 35.314 * [taylor]: Taking taylor expansion of -1 in phi1 35.314 * [backup-simplify]: Simplify -1 into -1 35.314 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1 35.314 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 35.315 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 35.315 * [taylor]: Taking taylor expansion of R in phi1 35.315 * [backup-simplify]: Simplify R into R 35.316 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 35.316 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi2 35.317 * [taylor]: Taking taylor expansion of -1 in phi2 35.317 * [backup-simplify]: Simplify -1 into -1 35.317 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi2 35.317 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 35.317 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 35.318 * [taylor]: Taking taylor expansion of R in phi2 35.318 * [backup-simplify]: Simplify R into R 35.318 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 35.318 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R 35.318 * [taylor]: Taking taylor expansion of -1 in R 35.319 * [backup-simplify]: Simplify -1 into -1 35.319 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R 35.319 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R 35.319 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 35.319 * [taylor]: Taking taylor expansion of R in R 35.319 * [backup-simplify]: Simplify 0 into 0 35.319 * [backup-simplify]: Simplify 1 into 1 35.320 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 35.320 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R 35.320 * [taylor]: Taking taylor expansion of -1 in R 35.321 * [backup-simplify]: Simplify -1 into -1 35.321 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R 35.321 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R 35.321 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 35.321 * [taylor]: Taking taylor expansion of R in R 35.321 * [backup-simplify]: Simplify 0 into 0 35.321 * [backup-simplify]: Simplify 1 into 1 35.322 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 35.323 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) 35.323 * [taylor]: Taking taylor expansion of (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) in phi2 35.323 * [taylor]: Taking taylor expansion of -1 in phi2 35.323 * [backup-simplify]: Simplify -1 into -1 35.323 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 35.324 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 35.325 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) 35.325 * [taylor]: Taking taylor expansion of (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) in phi1 35.325 * [taylor]: Taking taylor expansion of -1 in phi1 35.325 * [backup-simplify]: Simplify -1 into -1 35.325 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi1 35.326 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 35.327 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) 35.327 * [taylor]: Taking taylor expansion of (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) in lambda2 35.327 * [taylor]: Taking taylor expansion of -1 in lambda2 35.327 * [backup-simplify]: Simplify -1 into -1 35.327 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 35.328 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 35.329 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) 35.329 * [taylor]: Taking taylor expansion of (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) in lambda1 35.329 * [taylor]: Taking taylor expansion of -1 in lambda1 35.329 * [backup-simplify]: Simplify -1 into -1 35.329 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda1 35.330 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 35.330 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) 35.331 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 35.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)))) into 0 35.335 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into 0 35.335 * [taylor]: Taking taylor expansion of 0 in phi2 35.335 * [backup-simplify]: Simplify 0 into 0 35.335 * [taylor]: Taking taylor expansion of 0 in phi1 35.335 * [backup-simplify]: Simplify 0 into 0 35.335 * [taylor]: Taking taylor expansion of 0 in lambda2 35.335 * [backup-simplify]: Simplify 0 into 0 35.335 * [taylor]: Taking taylor expansion of 0 in lambda1 35.335 * [backup-simplify]: Simplify 0 into 0 35.335 * [backup-simplify]: Simplify 0 into 0 35.336 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into 0 35.336 * [taylor]: Taking taylor expansion of 0 in phi1 35.336 * [backup-simplify]: Simplify 0 into 0 35.337 * [taylor]: Taking taylor expansion of 0 in lambda2 35.337 * [backup-simplify]: Simplify 0 into 0 35.337 * [taylor]: Taking taylor expansion of 0 in lambda1 35.337 * [backup-simplify]: Simplify 0 into 0 35.337 * [backup-simplify]: Simplify 0 into 0 35.338 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into 0 35.338 * [taylor]: Taking taylor expansion of 0 in lambda2 35.338 * [backup-simplify]: Simplify 0 into 0 35.338 * [taylor]: Taking taylor expansion of 0 in lambda1 35.338 * [backup-simplify]: Simplify 0 into 0 35.338 * [backup-simplify]: Simplify 0 into 0 35.339 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into 0 35.339 * [taylor]: Taking taylor expansion of 0 in lambda1 35.339 * [backup-simplify]: Simplify 0 into 0 35.340 * [backup-simplify]: Simplify 0 into 0 35.341 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into 0 35.341 * [backup-simplify]: Simplify 0 into 0 35.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 35.345 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))))) into 0 35.345 * [taylor]: Taking taylor expansion of 0 in phi2 35.345 * [backup-simplify]: Simplify 0 into 0 35.345 * [taylor]: Taking taylor expansion of 0 in phi1 35.345 * [backup-simplify]: Simplify 0 into 0 35.345 * [taylor]: Taking taylor expansion of 0 in lambda2 35.345 * [backup-simplify]: Simplify 0 into 0 35.345 * [taylor]: Taking taylor expansion of 0 in lambda1 35.345 * [backup-simplify]: Simplify 0 into 0 35.345 * [backup-simplify]: Simplify 0 into 0 35.346 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))))))) (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 (- R)))))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 35.347 * * * [progress]: simplifying candidates 35.347 * * * * [progress]: [ 1 / 80 ] simplifiying candidate # 35.347 * [simplify]: Simplifying (/ PI 2) 35.347 * * [simplify]: iters left: 2 (3 enodes) 35.349 * * [simplify]: iters left: 1 (9 enodes) 35.352 * * [simplify]: Extracting #0: cost 1 inf + 0 35.352 * * [simplify]: Extracting #1: cost 4 inf + 0 35.352 * * [simplify]: Extracting #2: cost 2 inf + 2 35.352 * * [simplify]: Extracting #3: cost 0 inf + 86 35.352 * [simplify]: Simplified to (/ PI 2) 35.352 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))))) 35.353 * [simplify]: Simplifying (asin (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))) 35.353 * * [simplify]: iters left: 6 (20 enodes) 35.361 * * [simplify]: iters left: 5 (69 enodes) 35.387 * * [simplify]: iters left: 4 (93 enodes) 35.420 * * [simplify]: iters left: 3 (186 enodes) 35.461 * * [simplify]: iters left: 2 (370 enodes) 35.609 * * [simplify]: iters left: 1 (475 enodes) 35.793 * * [simplify]: Extracting #0: cost 1 inf + 0 35.793 * * [simplify]: Extracting #1: cost 3 inf + 0 35.793 * * [simplify]: Extracting #2: cost 12 inf + 0 35.794 * * [simplify]: Extracting #3: cost 50 inf + 0 35.794 * * [simplify]: Extracting #4: cost 84 inf + 0 35.795 * * [simplify]: Extracting #5: cost 73 inf + 431 35.796 * * [simplify]: Extracting #6: cost 45 inf + 4963 35.801 * * [simplify]: Extracting #7: cost 13 inf + 14975 35.809 * * [simplify]: Extracting #8: cost 1 inf + 21450 35.817 * * [simplify]: Extracting #9: cost 0 inf + 22014 35.824 * [simplify]: Simplified to (asin (+ (* (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2)))) 35.824 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (exp (- (/ PI 2) (asin (+ (* (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2))))))))) 35.825 * * * * [progress]: [ 2 / 80 ] simplifiying candidate # 35.825 * * * * [progress]: [ 3 / 80 ] simplifiying candidate # 35.825 * [simplify]: Simplifying (log (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 35.825 * * [simplify]: iters left: 6 (21 enodes) 35.834 * * [simplify]: iters left: 5 (72 enodes) 35.855 * * [simplify]: iters left: 4 (96 enodes) 35.888 * * [simplify]: iters left: 3 (189 enodes) 35.938 * * [simplify]: iters left: 2 (377 enodes) 36.043 * * [simplify]: iters left: 1 (480 enodes) 36.182 * * [simplify]: Extracting #0: cost 1 inf + 0 36.183 * * [simplify]: Extracting #1: cost 3 inf + 0 36.183 * * [simplify]: Extracting #2: cost 5 inf + 0 36.183 * * [simplify]: Extracting #3: cost 14 inf + 0 36.183 * * [simplify]: Extracting #4: cost 54 inf + 0 36.183 * * [simplify]: Extracting #5: cost 88 inf + 0 36.183 * * [simplify]: Extracting #6: cost 76 inf + 492 36.184 * * [simplify]: Extracting #7: cost 53 inf + 4416 36.186 * * [simplify]: Extracting #8: cost 18 inf + 14514 36.190 * * [simplify]: Extracting #9: cost 4 inf + 20802 36.194 * * [simplify]: Extracting #10: cost 1 inf + 23434 36.198 * * [simplify]: Extracting #11: cost 0 inf + 24358 36.205 * [simplify]: Simplified to (log (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)))))) 36.205 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (exp (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))))))))))) 36.205 * * * * [progress]: [ 4 / 80 ] simplifiying candidate # 36.206 * [simplify]: Simplifying (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 36.206 * * [simplify]: iters left: 6 (21 enodes) 36.217 * * [simplify]: iters left: 5 (72 enodes) 36.233 * * [simplify]: iters left: 4 (96 enodes) 36.249 * * [simplify]: iters left: 3 (189 enodes) 36.313 * * [simplify]: iters left: 2 (377 enodes) 36.412 * * [simplify]: iters left: 1 (480 enodes) 36.588 * * [simplify]: Extracting #0: cost 1 inf + 0 36.589 * * [simplify]: Extracting #1: cost 3 inf + 0 36.589 * * [simplify]: Extracting #2: cost 5 inf + 0 36.589 * * [simplify]: Extracting #3: cost 14 inf + 0 36.589 * * [simplify]: Extracting #4: cost 54 inf + 0 36.589 * * [simplify]: Extracting #5: cost 88 inf + 0 36.590 * * [simplify]: Extracting #6: cost 76 inf + 492 36.592 * * [simplify]: Extracting #7: cost 53 inf + 4416 36.596 * * [simplify]: Extracting #8: cost 18 inf + 14514 36.604 * * [simplify]: Extracting #9: cost 4 inf + 20802 36.608 * * [simplify]: Extracting #10: cost 1 inf + 23434 36.612 * * [simplify]: Extracting #11: cost 0 inf + 24358 36.616 * [simplify]: Simplified to (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)))))) 36.617 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (exp (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))))))))))) 36.617 * * * * [progress]: [ 5 / 80 ] simplifiying candidate # 36.617 * [simplify]: Simplifying (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 36.617 * * [simplify]: iters left: 6 (22 enodes) 36.622 * * [simplify]: iters left: 5 (75 enodes) 36.632 * * [simplify]: iters left: 4 (99 enodes) 36.649 * * [simplify]: iters left: 3 (192 enodes) 36.688 * * [simplify]: iters left: 2 (376 enodes) 36.765 * * [simplify]: iters left: 1 (468 enodes) 36.868 * * [simplify]: Extracting #0: cost 1 inf + 0 36.868 * * [simplify]: Extracting #1: cost 3 inf + 0 36.869 * * [simplify]: Extracting #2: cost 5 inf + 0 36.869 * * [simplify]: Extracting #3: cost 7 inf + 0 36.869 * * [simplify]: Extracting #4: cost 15 inf + 0 36.869 * * [simplify]: Extracting #5: cost 53 inf + 0 36.869 * * [simplify]: Extracting #6: cost 87 inf + 0 36.869 * * [simplify]: Extracting #7: cost 78 inf + 309 36.870 * * [simplify]: Extracting #8: cost 60 inf + 2821 36.872 * * [simplify]: Extracting #9: cost 21 inf + 13323 36.875 * * [simplify]: Extracting #10: cost 8 inf + 18163 36.879 * * [simplify]: Extracting #11: cost 2 inf + 23387 36.885 * * [simplify]: Extracting #12: cost 0 inf + 25095 36.890 * * [simplify]: Extracting #13: cost 0 inf + 24935 36.894 * [simplify]: Simplified to (* (cbrt (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))))) 36.894 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (exp (* (* (cbrt (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))))) 36.894 * [simplify]: Simplifying (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 36.895 * * [simplify]: iters left: 6 (21 enodes) 36.899 * * [simplify]: iters left: 5 (72 enodes) 36.909 * * [simplify]: iters left: 4 (96 enodes) 36.927 * * [simplify]: iters left: 3 (189 enodes) 36.975 * * [simplify]: iters left: 2 (377 enodes) 37.070 * * [simplify]: iters left: 1 (480 enodes) 37.217 * * [simplify]: Extracting #0: cost 1 inf + 0 37.217 * * [simplify]: Extracting #1: cost 3 inf + 0 37.217 * * [simplify]: Extracting #2: cost 5 inf + 0 37.217 * * [simplify]: Extracting #3: cost 14 inf + 0 37.218 * * [simplify]: Extracting #4: cost 54 inf + 0 37.218 * * [simplify]: Extracting #5: cost 88 inf + 0 37.219 * * [simplify]: Extracting #6: cost 76 inf + 492 37.220 * * [simplify]: Extracting #7: cost 53 inf + 4416 37.225 * * [simplify]: Extracting #8: cost 18 inf + 14514 37.233 * * [simplify]: Extracting #9: cost 4 inf + 20802 37.243 * * [simplify]: Extracting #10: cost 1 inf + 23444 37.252 * * [simplify]: Extracting #11: cost 0 inf + 24378 37.260 * [simplify]: Simplified to (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)))))) 37.260 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (exp (* (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))))))))))) 37.261 * * * * [progress]: [ 6 / 80 ] simplifiying candidate # 37.261 * [simplify]: Simplifying (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))) (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 37.261 * * [simplify]: iters left: 6 (22 enodes) 37.271 * * [simplify]: iters left: 5 (76 enodes) 37.291 * * [simplify]: iters left: 4 (102 enodes) 37.309 * * [simplify]: iters left: 3 (202 enodes) 37.378 * * [simplify]: iters left: 2 (404 enodes) 37.520 * * [simplify]: Extracting #0: cost 1 inf + 0 37.520 * * [simplify]: Extracting #1: cost 6 inf + 0 37.520 * * [simplify]: Extracting #2: cost 11 inf + 1 37.520 * * [simplify]: Extracting #3: cost 30 inf + 2 37.520 * * [simplify]: Extracting #4: cost 72 inf + 3 37.520 * * [simplify]: Extracting #5: cost 105 inf + 4 37.521 * * [simplify]: Extracting #6: cost 95 inf + 475 37.522 * * [simplify]: Extracting #7: cost 54 inf + 8523 37.526 * * [simplify]: Extracting #8: cost 17 inf + 23121 37.531 * * [simplify]: Extracting #9: cost 6 inf + 31256 37.542 * * [simplify]: Extracting #10: cost 0 inf + 37304 37.554 * * [simplify]: Extracting #11: cost 0 inf + 37173 37.565 * [simplify]: Simplified to (* (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))) (* (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))) (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))))) 37.566 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (exp (cbrt (* (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))) (* (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))) (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))))))))) 37.566 * * * * [progress]: [ 7 / 80 ] simplifiying candidate # 37.566 * [simplify]: Simplifying (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 37.567 * * [simplify]: iters left: 6 (21 enodes) 37.577 * * [simplify]: iters left: 5 (72 enodes) 37.588 * * [simplify]: iters left: 4 (96 enodes) 37.606 * * [simplify]: iters left: 3 (189 enodes) 37.643 * * [simplify]: iters left: 2 (377 enodes) 37.731 * * [simplify]: iters left: 1 (480 enodes) 37.919 * * [simplify]: Extracting #0: cost 1 inf + 0 37.919 * * [simplify]: Extracting #1: cost 3 inf + 0 37.919 * * [simplify]: Extracting #2: cost 5 inf + 0 37.919 * * [simplify]: Extracting #3: cost 14 inf + 0 37.919 * * [simplify]: Extracting #4: cost 54 inf + 0 37.920 * * [simplify]: Extracting #5: cost 88 inf + 0 37.921 * * [simplify]: Extracting #6: cost 76 inf + 492 37.922 * * [simplify]: Extracting #7: cost 53 inf + 4416 37.927 * * [simplify]: Extracting #8: cost 18 inf + 14514 37.934 * * [simplify]: Extracting #9: cost 4 inf + 20802 37.941 * * [simplify]: Extracting #10: cost 1 inf + 23404 37.946 * * [simplify]: Extracting #11: cost 0 inf + 24298 37.950 * [simplify]: Simplified to (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)))))) 37.950 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (exp (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)))))) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))))) 37.951 * [simplify]: Simplifying (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 37.951 * * [simplify]: iters left: 6 (21 enodes) 37.955 * * [simplify]: iters left: 5 (72 enodes) 37.965 * * [simplify]: iters left: 4 (96 enodes) 37.984 * * [simplify]: iters left: 3 (189 enodes) 38.030 * * [simplify]: iters left: 2 (377 enodes) 38.176 * * [simplify]: iters left: 1 (480 enodes) 38.316 * * [simplify]: Extracting #0: cost 1 inf + 0 38.316 * * [simplify]: Extracting #1: cost 3 inf + 0 38.316 * * [simplify]: Extracting #2: cost 5 inf + 0 38.316 * * [simplify]: Extracting #3: cost 14 inf + 0 38.316 * * [simplify]: Extracting #4: cost 54 inf + 0 38.317 * * [simplify]: Extracting #5: cost 88 inf + 0 38.317 * * [simplify]: Extracting #6: cost 76 inf + 492 38.318 * * [simplify]: Extracting #7: cost 53 inf + 4416 38.320 * * [simplify]: Extracting #8: cost 18 inf + 14514 38.324 * * [simplify]: Extracting #9: cost 4 inf + 20802 38.328 * * [simplify]: Extracting #10: cost 1 inf + 23404 38.332 * * [simplify]: Extracting #11: cost 0 inf + 24298 38.340 * [simplify]: Simplified to (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)))))) 38.340 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (exp (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))))))))))) 38.340 * * * * [progress]: [ 8 / 80 ] simplifiying candidate # 38.340 * * * * [progress]: [ 9 / 80 ] simplifiying candidate #real (real->posit16 (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))))))> 38.341 * [simplify]: Simplifying (real->posit16 (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 38.341 * * [simplify]: iters left: 6 (21 enodes) 38.349 * * [simplify]: iters left: 5 (69 enodes) 38.368 * * [simplify]: iters left: 4 (93 enodes) 38.383 * * [simplify]: iters left: 3 (186 enodes) 38.422 * * [simplify]: iters left: 2 (370 enodes) 38.512 * * [simplify]: iters left: 1 (475 enodes) 38.672 * * [simplify]: Extracting #0: cost 1 inf + 0 38.672 * * [simplify]: Extracting #1: cost 2 inf + 0 38.672 * * [simplify]: Extracting #2: cost 3 inf + 0 38.672 * * [simplify]: Extracting #3: cost 12 inf + 0 38.673 * * [simplify]: Extracting #4: cost 50 inf + 0 38.673 * * [simplify]: Extracting #5: cost 84 inf + 0 38.673 * * [simplify]: Extracting #6: cost 73 inf + 431 38.674 * * [simplify]: Extracting #7: cost 46 inf + 4801 38.676 * * [simplify]: Extracting #8: cost 12 inf + 15438 38.680 * * [simplify]: Extracting #9: cost 1 inf + 21420 38.683 * * [simplify]: Extracting #10: cost 0 inf + 21984 38.687 * [simplify]: Simplified to (real->posit16 (acos (+ (* (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2))))) 38.687 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (exp (posit16->real (real->posit16 (acos (+ (* (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2)))))))))) 38.688 * * * * [progress]: [ 10 / 80 ] simplifiying candidate # 38.688 * [simplify]: Simplifying (log (* (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))) 38.688 * * [simplify]: iters left: 6 (24 enodes) 38.693 * * [simplify]: iters left: 5 (83 enodes) 38.707 * * [simplify]: iters left: 4 (109 enodes) 38.746 * * [simplify]: iters left: 3 (203 enodes) 38.803 * * [simplify]: iters left: 2 (387 enodes) 38.934 * * [simplify]: iters left: 1 (487 enodes) 39.081 * * [simplify]: Extracting #0: cost 1 inf + 0 39.082 * * [simplify]: Extracting #1: cost 4 inf + 0 39.082 * * [simplify]: Extracting #2: cost 7 inf + 0 39.082 * * [simplify]: Extracting #3: cost 9 inf + 0 39.082 * * [simplify]: Extracting #4: cost 11 inf + 0 39.082 * * [simplify]: Extracting #5: cost 13 inf + 0 39.082 * * [simplify]: Extracting #6: cost 22 inf + 0 39.082 * * [simplify]: Extracting #7: cost 60 inf + 0 39.083 * * [simplify]: Extracting #8: cost 94 inf + 0 39.083 * * [simplify]: Extracting #9: cost 82 inf + 593 39.086 * * [simplify]: Extracting #10: cost 45 inf + 7993 39.092 * * [simplify]: Extracting #11: cost 16 inf + 17820 39.099 * * [simplify]: Extracting #12: cost 10 inf + 22054 39.104 * * [simplify]: Extracting #13: cost 4 inf + 27958 39.109 * * [simplify]: Extracting #14: cost 1 inf + 31190 39.114 * * [simplify]: Extracting #15: cost 0 inf + 32304 39.119 * [simplify]: Simplified to (log (* (cbrt (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (cbrt (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) 39.119 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (+ (log (* (cbrt (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (cbrt (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) (log (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))))) 39.120 * [simplify]: Simplifying (log (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) 39.120 * * [simplify]: iters left: 6 (23 enodes) 39.124 * * [simplify]: iters left: 5 (78 enodes) 39.142 * * [simplify]: iters left: 4 (102 enodes) 39.176 * * [simplify]: iters left: 3 (195 enodes) 39.230 * * [simplify]: iters left: 2 (383 enodes) 39.360 * * [simplify]: iters left: 1 (464 enodes) 39.487 * * [simplify]: Extracting #0: cost 1 inf + 0 39.487 * * [simplify]: Extracting #1: cost 3 inf + 0 39.487 * * [simplify]: Extracting #2: cost 5 inf + 0 39.487 * * [simplify]: Extracting #3: cost 7 inf + 0 39.487 * * [simplify]: Extracting #4: cost 9 inf + 0 39.487 * * [simplify]: Extracting #5: cost 17 inf + 0 39.487 * * [simplify]: Extracting #6: cost 56 inf + 0 39.487 * * [simplify]: Extracting #7: cost 90 inf + 0 39.488 * * [simplify]: Extracting #8: cost 78 inf + 694 39.489 * * [simplify]: Extracting #9: cost 54 inf + 4576 39.491 * * [simplify]: Extracting #10: cost 20 inf + 14514 39.494 * * [simplify]: Extracting #11: cost 9 inf + 18910 39.498 * * [simplify]: Extracting #12: cost 4 inf + 23230 39.502 * * [simplify]: Extracting #13: cost 2 inf + 25308 39.507 * * [simplify]: Extracting #14: cost 0 inf + 27386 39.511 * [simplify]: Simplified to (log (cbrt (exp (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))))) 39.511 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (+ (log (* (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))) (log (cbrt (exp (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))))))))) 39.511 * * * * [progress]: [ 11 / 80 ] simplifiying candidate # 39.512 * [simplify]: Simplifying (log (sqrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) 39.512 * * [simplify]: iters left: 6 (23 enodes) 39.516 * * [simplify]: iters left: 5 (78 enodes) 39.537 * * [simplify]: iters left: 4 (102 enodes) 39.572 * * [simplify]: iters left: 3 (195 enodes) 39.633 * * [simplify]: iters left: 2 (383 enodes) 39.726 * * [simplify]: iters left: 1 (464 enodes) 39.832 * * [simplify]: Extracting #0: cost 1 inf + 0 39.832 * * [simplify]: Extracting #1: cost 3 inf + 0 39.832 * * [simplify]: Extracting #2: cost 5 inf + 0 39.832 * * [simplify]: Extracting #3: cost 7 inf + 0 39.832 * * [simplify]: Extracting #4: cost 9 inf + 0 39.833 * * [simplify]: Extracting #5: cost 17 inf + 0 39.833 * * [simplify]: Extracting #6: cost 56 inf + 0 39.833 * * [simplify]: Extracting #7: cost 90 inf + 0 39.834 * * [simplify]: Extracting #8: cost 78 inf + 694 39.836 * * [simplify]: Extracting #9: cost 54 inf + 4576 39.840 * * [simplify]: Extracting #10: cost 20 inf + 14514 39.845 * * [simplify]: Extracting #11: cost 9 inf + 18910 39.849 * * [simplify]: Extracting #12: cost 4 inf + 23230 39.853 * * [simplify]: Extracting #13: cost 2 inf + 25228 39.858 * * [simplify]: Extracting #14: cost 0 inf + 27226 39.862 * [simplify]: Simplified to (log (sqrt (exp (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))))) 39.862 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (+ (log (sqrt (exp (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))))) (log (sqrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))))) 39.863 * [simplify]: Simplifying (log (sqrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) 39.863 * * [simplify]: iters left: 6 (23 enodes) 39.873 * * [simplify]: iters left: 5 (78 enodes) 39.892 * * [simplify]: iters left: 4 (102 enodes) 39.911 * * [simplify]: iters left: 3 (195 enodes) 39.980 * * [simplify]: iters left: 2 (383 enodes) 40.106 * * [simplify]: iters left: 1 (464 enodes) 40.223 * * [simplify]: Extracting #0: cost 1 inf + 0 40.223 * * [simplify]: Extracting #1: cost 3 inf + 0 40.223 * * [simplify]: Extracting #2: cost 5 inf + 0 40.223 * * [simplify]: Extracting #3: cost 7 inf + 0 40.223 * * [simplify]: Extracting #4: cost 9 inf + 0 40.223 * * [simplify]: Extracting #5: cost 17 inf + 0 40.223 * * [simplify]: Extracting #6: cost 56 inf + 0 40.224 * * [simplify]: Extracting #7: cost 90 inf + 0 40.224 * * [simplify]: Extracting #8: cost 78 inf + 694 40.226 * * [simplify]: Extracting #9: cost 54 inf + 4576 40.230 * * [simplify]: Extracting #10: cost 20 inf + 14514 40.236 * * [simplify]: Extracting #11: cost 9 inf + 18910 40.243 * * [simplify]: Extracting #12: cost 4 inf + 23230 40.251 * * [simplify]: Extracting #13: cost 2 inf + 25228 40.260 * * [simplify]: Extracting #14: cost 0 inf + 27226 40.268 * [simplify]: Simplified to (log (sqrt (exp (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))))) 40.268 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (+ (log (sqrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) (log (sqrt (exp (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))))))))) 40.269 * * * * [progress]: [ 12 / 80 ] simplifiying candidate # 40.269 * [simplify]: Simplifying (log 1) 40.269 * * [simplify]: iters left: 1 (2 enodes) 40.272 * * [simplify]: Extracting #0: cost 1 inf + 0 40.272 * * [simplify]: Extracting #1: cost 0 inf + 1 40.272 * [simplify]: Simplified to 0 40.272 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (+ 0 (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))))) 40.272 * [simplify]: Simplifying (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 40.273 * * [simplify]: iters left: 6 (22 enodes) 40.282 * * [simplify]: iters left: 5 (73 enodes) 40.302 * * [simplify]: iters left: 4 (97 enodes) 40.339 * * [simplify]: iters left: 3 (190 enodes) 40.413 * * [simplify]: iters left: 2 (378 enodes) 40.503 * * [simplify]: iters left: 1 (477 enodes) 40.625 * * [simplify]: Extracting #0: cost 1 inf + 0 40.625 * * [simplify]: Extracting #1: cost 4 inf + 0 40.625 * * [simplify]: Extracting #2: cost 14 inf + 0 40.625 * * [simplify]: Extracting #3: cost 54 inf + 0 40.625 * * [simplify]: Extracting #4: cost 88 inf + 0 40.626 * * [simplify]: Extracting #5: cost 77 inf + 431 40.626 * * [simplify]: Extracting #6: cost 55 inf + 3692 40.629 * * [simplify]: Extracting #7: cost 23 inf + 12399 40.638 * * [simplify]: Extracting #8: cost 0 inf + 24358 40.646 * [simplify]: Simplified to (acos (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))) 40.646 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (+ 0 (acos (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))))) 40.646 * * * * [progress]: [ 13 / 80 ] simplifiying candidate # 40.646 * [simplify]: Simplifying (log (exp (/ PI 2))) 40.647 * * [simplify]: iters left: 4 (5 enodes) 40.649 * * [simplify]: iters left: 3 (15 enodes) 40.654 * * [simplify]: iters left: 2 (17 enodes) 40.659 * * [simplify]: Extracting #0: cost 1 inf + 0 40.659 * * [simplify]: Extracting #1: cost 5 inf + 0 40.659 * * [simplify]: Extracting #2: cost 5 inf + 2 40.659 * * [simplify]: Extracting #3: cost 3 inf + 157 40.659 * * [simplify]: Extracting #4: cost 0 inf + 450 40.659 * [simplify]: Simplified to (/ PI 2) 40.660 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (/ PI 2) (log (exp (asin (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))))) 40.660 * [simplify]: Simplifying (log (exp (asin (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 40.661 * * [simplify]: iters left: 6 (22 enodes) 40.670 * * [simplify]: iters left: 5 (73 enodes) 40.688 * * [simplify]: iters left: 4 (97 enodes) 40.704 * * [simplify]: iters left: 3 (190 enodes) 40.762 * * [simplify]: iters left: 2 (378 enodes) 40.894 * * [simplify]: iters left: 1 (477 enodes) 41.017 * * [simplify]: Extracting #0: cost 1 inf + 0 41.017 * * [simplify]: Extracting #1: cost 4 inf + 0 41.017 * * [simplify]: Extracting #2: cost 14 inf + 0 41.017 * * [simplify]: Extracting #3: cost 54 inf + 0 41.018 * * [simplify]: Extracting #4: cost 88 inf + 0 41.018 * * [simplify]: Extracting #5: cost 77 inf + 431 41.020 * * [simplify]: Extracting #6: cost 55 inf + 3692 41.022 * * [simplify]: Extracting #7: cost 23 inf + 12399 41.026 * * [simplify]: Extracting #8: cost 0 inf + 24418 41.030 * [simplify]: Simplified to (asin (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))) 41.030 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (/ PI 2) (asin (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))))) 41.030 * * * * [progress]: [ 14 / 80 ] simplifiying candidate # 41.030 * [simplify]: Simplifying (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 41.030 * * [simplify]: iters left: 6 (22 enodes) 41.035 * * [simplify]: iters left: 5 (73 enodes) 41.046 * * [simplify]: iters left: 4 (97 enodes) 41.062 * * [simplify]: iters left: 3 (190 enodes) 41.113 * * [simplify]: iters left: 2 (378 enodes) 41.214 * * [simplify]: iters left: 1 (477 enodes) 41.374 * * [simplify]: Extracting #0: cost 1 inf + 0 41.374 * * [simplify]: Extracting #1: cost 4 inf + 0 41.375 * * [simplify]: Extracting #2: cost 14 inf + 0 41.375 * * [simplify]: Extracting #3: cost 54 inf + 0 41.375 * * [simplify]: Extracting #4: cost 88 inf + 0 41.376 * * [simplify]: Extracting #5: cost 77 inf + 431 41.377 * * [simplify]: Extracting #6: cost 55 inf + 3692 41.381 * * [simplify]: Extracting #7: cost 23 inf + 12399 41.387 * * [simplify]: Extracting #8: cost 0 inf + 24358 41.394 * [simplify]: Simplified to (acos (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))) 41.395 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* 1 (acos (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))))) 41.395 * * * * [progress]: [ 15 / 80 ] simplifiying candidate # 41.396 * [simplify]: Simplifying (log (exp (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))) 41.396 * * [simplify]: iters left: 6 (24 enodes) 41.406 * * [simplify]: iters left: 5 (81 enodes) 41.424 * * [simplify]: iters left: 4 (113 enodes) 41.443 * * [simplify]: iters left: 3 (220 enodes) 41.524 * * [simplify]: iters left: 2 (436 enodes) 41.647 * * [simplify]: Extracting #0: cost 1 inf + 0 41.647 * * [simplify]: Extracting #1: cost 16 inf + 0 41.647 * * [simplify]: Extracting #2: cost 35 inf + 1 41.648 * * [simplify]: Extracting #3: cost 58 inf + 1 41.648 * * [simplify]: Extracting #4: cost 75 inf + 4 41.648 * * [simplify]: Extracting #5: cost 121 inf + 5 41.648 * * [simplify]: Extracting #6: cost 155 inf + 5 41.649 * * [simplify]: Extracting #7: cost 143 inf + 598 41.650 * * [simplify]: Extracting #8: cost 111 inf + 8087 41.654 * * [simplify]: Extracting #9: cost 57 inf + 30438 41.664 * * [simplify]: Extracting #10: cost 24 inf + 62424 41.686 * * [simplify]: Extracting #11: cost 1 inf + 88825 41.713 * * [simplify]: Extracting #12: cost 0 inf + 89421 41.730 * [simplify]: Simplified to (* (cbrt (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))))) 41.730 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) (* (cbrt (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))))))) 41.730 * * * * [progress]: [ 16 / 80 ] simplifiying candidate # 41.730 * [simplify]: Simplifying (log (exp (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) 41.731 * * [simplify]: iters left: 6 (23 enodes) 41.738 * * [simplify]: iters left: 5 (76 enodes) 41.754 * * [simplify]: iters left: 4 (100 enodes) 41.771 * * [simplify]: iters left: 3 (193 enodes) 41.840 * * [simplify]: iters left: 2 (377 enodes) 41.949 * * [simplify]: iters left: 1 (490 enodes) 42.087 * * [simplify]: Extracting #0: cost 1 inf + 0 42.087 * * [simplify]: Extracting #1: cost 4 inf + 0 42.087 * * [simplify]: Extracting #2: cost 7 inf + 0 42.087 * * [simplify]: Extracting #3: cost 16 inf + 0 42.087 * * [simplify]: Extracting #4: cost 55 inf + 0 42.087 * * [simplify]: Extracting #5: cost 89 inf + 0 42.087 * * [simplify]: Extracting #6: cost 77 inf + 593 42.088 * * [simplify]: Extracting #7: cost 51 inf + 5607 42.091 * * [simplify]: Extracting #8: cost 19 inf + 14916 42.094 * * [simplify]: Extracting #9: cost 6 inf + 20539 42.098 * * [simplify]: Extracting #10: cost 3 inf + 23141 42.103 * * [simplify]: Extracting #11: cost 1 inf + 24999 42.107 * * [simplify]: Extracting #12: cost 0 inf + 25963 42.115 * [simplify]: Simplified to (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi1))))) 42.115 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi1)))))))) 42.115 * * * * [progress]: [ 17 / 80 ] simplifiying candidate # 42.115 * [simplify]: Simplifying (log (exp 1)) 42.115 * * [simplify]: iters left: 2 (3 enodes) 42.118 * * [simplify]: iters left: 1 (10 enodes) 42.122 * * [simplify]: Extracting #0: cost 1 inf + 0 42.122 * * [simplify]: Extracting #1: cost 0 inf + 1 42.122 * [simplify]: Simplified to 1 42.122 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))) 1))) 42.122 * * * * [progress]: [ 18 / 80 ] simplifiying candidate # 42.122 * * * * [progress]: [ 19 / 80 ] simplifiying candidate # 42.123 * * * * [progress]: [ 20 / 80 ] simplifiying candidate # 42.123 * [simplify]: Simplifying (log (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) 42.123 * * [simplify]: iters left: 6 (23 enodes) 42.130 * * [simplify]: iters left: 5 (76 enodes) 42.140 * * [simplify]: iters left: 4 (100 enodes) 42.159 * * [simplify]: iters left: 3 (193 enodes) 42.204 * * [simplify]: iters left: 2 (377 enodes) 42.300 * * [simplify]: iters left: 1 (490 enodes) 42.444 * * [simplify]: Extracting #0: cost 1 inf + 0 42.444 * * [simplify]: Extracting #1: cost 3 inf + 0 42.444 * * [simplify]: Extracting #2: cost 6 inf + 0 42.444 * * [simplify]: Extracting #3: cost 16 inf + 0 42.445 * * [simplify]: Extracting #4: cost 55 inf + 0 42.445 * * [simplify]: Extracting #5: cost 89 inf + 0 42.445 * * [simplify]: Extracting #6: cost 76 inf + 654 42.446 * * [simplify]: Extracting #7: cost 51 inf + 5407 42.449 * * [simplify]: Extracting #8: cost 20 inf + 14653 42.453 * * [simplify]: Extracting #9: cost 1 inf + 25019 42.457 * * [simplify]: Extracting #10: cost 0 inf + 25943 42.461 * [simplify]: Simplified to (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi1))))) 42.462 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi1)))))))) 42.462 * * * * [progress]: [ 21 / 80 ] simplifiying candidate # 42.462 * [simplify]: Simplifying (exp (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) 42.462 * * [simplify]: iters left: 6 (23 enodes) 42.469 * * [simplify]: iters left: 5 (74 enodes) 42.490 * * [simplify]: iters left: 4 (98 enodes) 42.525 * * [simplify]: iters left: 3 (191 enodes) 42.589 * * [simplify]: iters left: 2 (375 enodes) 42.684 * * [simplify]: iters left: 1 (475 enodes) 42.822 * * [simplify]: Extracting #0: cost 1 inf + 0 42.822 * * [simplify]: Extracting #1: cost 3 inf + 0 42.822 * * [simplify]: Extracting #2: cost 5 inf + 0 42.822 * * [simplify]: Extracting #3: cost 12 inf + 0 42.822 * * [simplify]: Extracting #4: cost 49 inf + 0 42.822 * * [simplify]: Extracting #5: cost 83 inf + 0 42.823 * * [simplify]: Extracting #6: cost 73 inf + 370 42.823 * * [simplify]: Extracting #7: cost 46 inf + 4839 42.825 * * [simplify]: Extracting #8: cost 17 inf + 12458 42.829 * * [simplify]: Extracting #9: cost 1 inf + 20915 42.837 * * [simplify]: Extracting #10: cost 0 inf + 21839 42.844 * [simplify]: Simplified to (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2))))) 42.844 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))))))) 42.844 * * * * [progress]: [ 22 / 80 ] simplifiying candidate # 42.845 * [simplify]: Simplifying (* (cbrt (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) (cbrt (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))) 42.845 * * [simplify]: iters left: 6 (24 enodes) 42.849 * * [simplify]: iters left: 5 (79 enodes) 42.862 * * [simplify]: iters left: 4 (103 enodes) 42.879 * * [simplify]: iters left: 3 (196 enodes) 42.923 * * [simplify]: iters left: 2 (384 enodes) 43.060 * * [simplify]: iters left: 1 (476 enodes) 43.185 * * [simplify]: Extracting #0: cost 1 inf + 0 43.185 * * [simplify]: Extracting #1: cost 3 inf + 0 43.185 * * [simplify]: Extracting #2: cost 5 inf + 0 43.185 * * [simplify]: Extracting #3: cost 8 inf + 0 43.185 * * [simplify]: Extracting #4: cost 18 inf + 0 43.186 * * [simplify]: Extracting #5: cost 57 inf + 0 43.186 * * [simplify]: Extracting #6: cost 91 inf + 0 43.187 * * [simplify]: Extracting #7: cost 79 inf + 593 43.188 * * [simplify]: Extracting #8: cost 55 inf + 5180 43.193 * * [simplify]: Extracting #9: cost 22 inf + 14150 43.201 * * [simplify]: Extracting #10: cost 4 inf + 24105 43.210 * * [simplify]: Extracting #11: cost 0 inf + 27911 43.219 * [simplify]: Simplified to (* (cbrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi1) (sin phi2)))))) 43.219 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (* (cbrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi1) (sin phi2)))))) (cbrt (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))))) 43.220 * [simplify]: Simplifying (cbrt (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) 43.220 * * [simplify]: iters left: 6 (23 enodes) 43.230 * * [simplify]: iters left: 5 (76 enodes) 43.254 * * [simplify]: iters left: 4 (100 enodes) 43.289 * * [simplify]: iters left: 3 (193 enodes) 43.341 * * [simplify]: iters left: 2 (377 enodes) 43.451 * * [simplify]: iters left: 1 (490 enodes) 43.601 * * [simplify]: Extracting #0: cost 1 inf + 0 43.601 * * [simplify]: Extracting #1: cost 3 inf + 0 43.601 * * [simplify]: Extracting #2: cost 6 inf + 0 43.601 * * [simplify]: Extracting #3: cost 16 inf + 0 43.601 * * [simplify]: Extracting #4: cost 55 inf + 0 43.601 * * [simplify]: Extracting #5: cost 89 inf + 0 43.602 * * [simplify]: Extracting #6: cost 76 inf + 654 43.603 * * [simplify]: Extracting #7: cost 51 inf + 5407 43.605 * * [simplify]: Extracting #8: cost 20 inf + 14653 43.609 * * [simplify]: Extracting #9: cost 1 inf + 25029 43.615 * * [simplify]: Extracting #10: cost 0 inf + 25963 43.624 * [simplify]: Simplified to (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi1))))) 43.624 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (* (cbrt (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) (cbrt (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi1)))))))) 43.624 * * * * [progress]: [ 23 / 80 ] simplifiying candidate # 43.625 * [simplify]: Simplifying (* (* (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) 43.625 * * [simplify]: iters left: 6 (24 enodes) 43.636 * * [simplify]: iters left: 5 (80 enodes) 43.659 * * [simplify]: iters left: 4 (106 enodes) 43.696 * * [simplify]: iters left: 3 (207 enodes) 43.749 * * [simplify]: iters left: 2 (405 enodes) 43.845 * * [simplify]: Extracting #0: cost 1 inf + 0 43.845 * * [simplify]: Extracting #1: cost 6 inf + 0 43.845 * * [simplify]: Extracting #2: cost 12 inf + 1 43.845 * * [simplify]: Extracting #3: cost 30 inf + 2 43.845 * * [simplify]: Extracting #4: cost 72 inf + 3 43.846 * * [simplify]: Extracting #5: cost 105 inf + 4 43.846 * * [simplify]: Extracting #6: cost 90 inf + 881 43.847 * * [simplify]: Extracting #7: cost 58 inf + 7269 43.852 * * [simplify]: Extracting #8: cost 16 inf + 25294 43.858 * * [simplify]: Extracting #9: cost 1 inf + 36357 43.863 * * [simplify]: Extracting #10: cost 0 inf + 37291 43.870 * [simplify]: Simplified to (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 43.870 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (cbrt (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))))) 43.870 * * * * [progress]: [ 24 / 80 ] simplifiying candidate # 43.870 * [simplify]: Simplifying (sqrt (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) 43.870 * * [simplify]: iters left: 6 (23 enodes) 43.875 * * [simplify]: iters left: 5 (76 enodes) 43.886 * * [simplify]: iters left: 4 (100 enodes) 43.903 * * [simplify]: iters left: 3 (193 enodes) 43.966 * * [simplify]: iters left: 2 (377 enodes) 44.097 * * [simplify]: iters left: 1 (490 enodes) 44.292 * * [simplify]: Extracting #0: cost 1 inf + 0 44.293 * * [simplify]: Extracting #1: cost 3 inf + 0 44.293 * * [simplify]: Extracting #2: cost 6 inf + 0 44.293 * * [simplify]: Extracting #3: cost 16 inf + 0 44.293 * * [simplify]: Extracting #4: cost 55 inf + 0 44.293 * * [simplify]: Extracting #5: cost 89 inf + 0 44.295 * * [simplify]: Extracting #6: cost 76 inf + 654 44.296 * * [simplify]: Extracting #7: cost 51 inf + 5407 44.301 * * [simplify]: Extracting #8: cost 20 inf + 14653 44.309 * * [simplify]: Extracting #9: cost 1 inf + 24989 44.317 * * [simplify]: Extracting #10: cost 0 inf + 25883 44.326 * [simplify]: Simplified to (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi1))))) 44.326 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi1))))) (sqrt (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))))) 44.327 * [simplify]: Simplifying (sqrt (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) 44.327 * * [simplify]: iters left: 6 (23 enodes) 44.336 * * [simplify]: iters left: 5 (76 enodes) 44.360 * * [simplify]: iters left: 4 (100 enodes) 44.394 * * [simplify]: iters left: 3 (193 enodes) 44.467 * * [simplify]: iters left: 2 (377 enodes) 44.603 * * [simplify]: iters left: 1 (490 enodes) 44.764 * * [simplify]: Extracting #0: cost 1 inf + 0 44.764 * * [simplify]: Extracting #1: cost 3 inf + 0 44.764 * * [simplify]: Extracting #2: cost 6 inf + 0 44.764 * * [simplify]: Extracting #3: cost 16 inf + 0 44.764 * * [simplify]: Extracting #4: cost 55 inf + 0 44.764 * * [simplify]: Extracting #5: cost 89 inf + 0 44.765 * * [simplify]: Extracting #6: cost 76 inf + 654 44.766 * * [simplify]: Extracting #7: cost 51 inf + 5407 44.768 * * [simplify]: Extracting #8: cost 20 inf + 14653 44.772 * * [simplify]: Extracting #9: cost 1 inf + 24989 44.776 * * [simplify]: Extracting #10: cost 0 inf + 25883 44.782 * [simplify]: Simplified to (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi1))))) 44.782 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi1)))))))) 44.782 * * * * [progress]: [ 25 / 80 ] simplifiying candidate # 44.782 * * * * [progress]: [ 26 / 80 ] simplifiying candidate #real (real->posit16 (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))))))> 44.783 * [simplify]: Simplifying (real->posit16 (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) 44.783 * * [simplify]: iters left: 6 (23 enodes) 44.793 * * [simplify]: iters left: 5 (73 enodes) 44.814 * * [simplify]: iters left: 4 (97 enodes) 44.847 * * [simplify]: iters left: 3 (190 enodes) 44.895 * * [simplify]: iters left: 2 (378 enodes) 45.010 * * [simplify]: iters left: 1 (478 enodes) 45.157 * * [simplify]: Extracting #0: cost 1 inf + 0 45.157 * * [simplify]: Extracting #1: cost 2 inf + 0 45.158 * * [simplify]: Extracting #2: cost 4 inf + 0 45.158 * * [simplify]: Extracting #3: cost 14 inf + 0 45.158 * * [simplify]: Extracting #4: cost 52 inf + 0 45.158 * * [simplify]: Extracting #5: cost 86 inf + 0 45.159 * * [simplify]: Extracting #6: cost 75 inf + 431 45.160 * * [simplify]: Extracting #7: cost 51 inf + 4016 45.165 * * [simplify]: Extracting #8: cost 18 inf + 13931 45.172 * * [simplify]: Extracting #9: cost 0 inf + 23872 45.181 * * [simplify]: Extracting #10: cost 0 inf + 23832 45.189 * [simplify]: Simplified to (real->posit16 (acos (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))) 45.189 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (posit16->real (real->posit16 (acos (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))))))) 45.189 * * * * [progress]: [ 27 / 80 ] simplifiying candidate # 45.189 * * * * [progress]: [ 28 / 80 ] simplifiying candidate # 45.189 * [simplify]: Simplifying (exp (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) 45.190 * * [simplify]: iters left: 6 (23 enodes) 45.199 * * [simplify]: iters left: 5 (80 enodes) 45.216 * * [simplify]: iters left: 4 (110 enodes) 45.236 * * [simplify]: iters left: 3 (214 enodes) 45.315 * * [simplify]: iters left: 2 (422 enodes) 45.465 * * [simplify]: Extracting #0: cost 1 inf + 0 45.465 * * [simplify]: Extracting #1: cost 12 inf + 0 45.465 * * [simplify]: Extracting #2: cost 36 inf + 0 45.465 * * [simplify]: Extracting #3: cost 46 inf + 2 45.465 * * [simplify]: Extracting #4: cost 59 inf + 4 45.466 * * [simplify]: Extracting #5: cost 103 inf + 4 45.466 * * [simplify]: Extracting #6: cost 137 inf + 4 45.467 * * [simplify]: Extracting #7: cost 124 inf + 759 45.468 * * [simplify]: Extracting #8: cost 90 inf + 7067 45.471 * * [simplify]: Extracting #9: cost 53 inf + 20383 45.476 * * [simplify]: Extracting #10: cost 37 inf + 31277 45.492 * * [simplify]: Extracting #11: cost 14 inf + 56505 45.514 * * [simplify]: Extracting #12: cost 0 inf + 74295 45.536 * [simplify]: Simplified to (exp (* (cbrt (acos (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))))) 45.537 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (pow (exp (* (cbrt (acos (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))))) 45.537 * * * * [progress]: [ 29 / 80 ] simplifiying candidate # 45.537 * [simplify]: Simplifying (exp (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 45.538 * * [simplify]: iters left: 6 (22 enodes) 45.550 * * [simplify]: iters left: 5 (75 enodes) 45.571 * * [simplify]: iters left: 4 (99 enodes) 45.605 * * [simplify]: iters left: 3 (192 enodes) 45.680 * * [simplify]: iters left: 2 (376 enodes) 45.808 * * [simplify]: iters left: 1 (468 enodes) 45.959 * * [simplify]: Extracting #0: cost 1 inf + 0 45.959 * * [simplify]: Extracting #1: cost 3 inf + 0 45.959 * * [simplify]: Extracting #2: cost 5 inf + 0 45.959 * * [simplify]: Extracting #3: cost 7 inf + 0 45.959 * * [simplify]: Extracting #4: cost 15 inf + 0 45.959 * * [simplify]: Extracting #5: cost 53 inf + 0 45.959 * * [simplify]: Extracting #6: cost 87 inf + 0 45.959 * * [simplify]: Extracting #7: cost 78 inf + 309 45.960 * * [simplify]: Extracting #8: cost 60 inf + 2821 45.962 * * [simplify]: Extracting #9: cost 21 inf + 13323 45.965 * * [simplify]: Extracting #10: cost 8 inf + 18163 45.971 * * [simplify]: Extracting #11: cost 2 inf + 23307 45.975 * * [simplify]: Extracting #12: cost 0 inf + 24995 45.979 * * [simplify]: Extracting #13: cost 0 inf + 24835 45.983 * [simplify]: Simplified to (exp (sqrt (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))))) 45.983 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (pow (exp (sqrt (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))))) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))))) 45.984 * * * * [progress]: [ 30 / 80 ] simplifiying candidate # 45.984 * [simplify]: Simplifying (exp 1) 45.984 * * [simplify]: iters left: 1 (2 enodes) 45.985 * * [simplify]: Extracting #0: cost 1 inf + 0 45.985 * * [simplify]: Extracting #1: cost 0 inf + 1 45.985 * [simplify]: Simplified to E 45.985 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (pow E (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))) 45.985 * * * * [progress]: [ 31 / 80 ] simplifiying candidate # 45.986 * [simplify]: Simplifying (exp (/ PI 2)) 45.986 * * [simplify]: iters left: 3 (4 enodes) 45.987 * * [simplify]: iters left: 2 (14 enodes) 45.989 * * [simplify]: iters left: 1 (16 enodes) 45.992 * * [simplify]: Extracting #0: cost 1 inf + 0 45.992 * * [simplify]: Extracting #1: cost 4 inf + 0 45.992 * * [simplify]: Extracting #2: cost 8 inf + 0 45.992 * * [simplify]: Extracting #3: cost 6 inf + 2 45.992 * * [simplify]: Extracting #4: cost 0 inf + 452 45.992 * * [simplify]: Extracting #5: cost 0 inf + 450 45.992 * [simplify]: Simplified to (sqrt (exp PI)) 45.992 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))))) 45.993 * [simplify]: Simplifying (exp (asin (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 45.993 * * [simplify]: iters left: 6 (21 enodes) 45.997 * * [simplify]: iters left: 5 (72 enodes) 46.007 * * [simplify]: iters left: 4 (96 enodes) 46.031 * * [simplify]: iters left: 3 (189 enodes) 46.107 * * [simplify]: iters left: 2 (377 enodes) 46.215 * * [simplify]: iters left: 1 (480 enodes) 46.386 * * [simplify]: Extracting #0: cost 1 inf + 0 46.386 * * [simplify]: Extracting #1: cost 3 inf + 0 46.386 * * [simplify]: Extracting #2: cost 5 inf + 0 46.386 * * [simplify]: Extracting #3: cost 14 inf + 0 46.387 * * [simplify]: Extracting #4: cost 54 inf + 0 46.387 * * [simplify]: Extracting #5: cost 88 inf + 0 46.387 * * [simplify]: Extracting #6: cost 76 inf + 492 46.388 * * [simplify]: Extracting #7: cost 53 inf + 4416 46.393 * * [simplify]: Extracting #8: cost 18 inf + 14514 46.400 * * [simplify]: Extracting #9: cost 4 inf + 20802 46.408 * * [simplify]: Extracting #10: cost 1 inf + 23479 46.416 * * [simplify]: Extracting #11: cost 0 inf + 24418 46.425 * [simplify]: Simplified to (exp (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)))))) 46.425 * [simplify]: Simplified (2 2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)))))))))) 46.425 * * * * [progress]: [ 32 / 80 ] simplifiying candidate # 46.426 * * * * [progress]: [ 33 / 80 ] simplifiying candidate # 46.426 * [simplify]: Simplifying (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 46.426 * * [simplify]: iters left: 6 (22 enodes) 46.435 * * [simplify]: iters left: 5 (73 enodes) 46.456 * * [simplify]: iters left: 4 (97 enodes) 46.493 * * [simplify]: iters left: 3 (190 enodes) 46.555 * * [simplify]: iters left: 2 (378 enodes) 46.687 * * [simplify]: iters left: 1 (477 enodes) 46.847 * * [simplify]: Extracting #0: cost 1 inf + 0 46.847 * * [simplify]: Extracting #1: cost 4 inf + 0 46.847 * * [simplify]: Extracting #2: cost 14 inf + 0 46.847 * * [simplify]: Extracting #3: cost 54 inf + 0 46.848 * * [simplify]: Extracting #4: cost 88 inf + 0 46.848 * * [simplify]: Extracting #5: cost 77 inf + 431 46.849 * * [simplify]: Extracting #6: cost 55 inf + 3692 46.855 * * [simplify]: Extracting #7: cost 23 inf + 12399 46.863 * * [simplify]: Extracting #8: cost 0 inf + 24358 46.871 * [simplify]: Simplified to (acos (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))) 46.871 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (exp (acos (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))))))) 46.871 * * * * [progress]: [ 34 / 80 ] simplifiying candidate # 46.871 * [simplify]: Simplifying (exp (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 46.872 * * [simplify]: iters left: 6 (22 enodes) 46.881 * * [simplify]: iters left: 5 (75 enodes) 46.902 * * [simplify]: iters left: 4 (99 enodes) 46.925 * * [simplify]: iters left: 3 (192 enodes) 46.974 * * [simplify]: iters left: 2 (376 enodes) 47.075 * * [simplify]: iters left: 1 (468 enodes) 47.217 * * [simplify]: Extracting #0: cost 1 inf + 0 47.217 * * [simplify]: Extracting #1: cost 3 inf + 0 47.217 * * [simplify]: Extracting #2: cost 5 inf + 0 47.217 * * [simplify]: Extracting #3: cost 7 inf + 0 47.218 * * [simplify]: Extracting #4: cost 15 inf + 0 47.218 * * [simplify]: Extracting #5: cost 53 inf + 0 47.218 * * [simplify]: Extracting #6: cost 87 inf + 0 47.219 * * [simplify]: Extracting #7: cost 78 inf + 309 47.220 * * [simplify]: Extracting #8: cost 60 inf + 2821 47.224 * * [simplify]: Extracting #9: cost 21 inf + 13323 47.230 * * [simplify]: Extracting #10: cost 8 inf + 18163 47.235 * * [simplify]: Extracting #11: cost 2 inf + 23367 47.239 * * [simplify]: Extracting #12: cost 0 inf + 25115 47.243 * * [simplify]: Extracting #13: cost 0 inf + 24955 47.247 * [simplify]: Simplified to (exp (exp (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))))) 47.248 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (log (exp (exp (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))))))))) 47.248 * * * * [progress]: [ 35 / 80 ] simplifiying candidate # 47.248 * [simplify]: Simplifying (* (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) 47.248 * * [simplify]: iters left: 6 (23 enodes) 47.253 * * [simplify]: iters left: 5 (78 enodes) 47.264 * * [simplify]: iters left: 4 (102 enodes) 47.298 * * [simplify]: iters left: 3 (195 enodes) 47.377 * * [simplify]: iters left: 2 (383 enodes) 47.500 * * [simplify]: iters left: 1 (464 enodes) 47.611 * * [simplify]: Extracting #0: cost 1 inf + 0 47.611 * * [simplify]: Extracting #1: cost 3 inf + 0 47.611 * * [simplify]: Extracting #2: cost 5 inf + 0 47.611 * * [simplify]: Extracting #3: cost 7 inf + 0 47.611 * * [simplify]: Extracting #4: cost 9 inf + 0 47.611 * * [simplify]: Extracting #5: cost 17 inf + 0 47.612 * * [simplify]: Extracting #6: cost 56 inf + 0 47.612 * * [simplify]: Extracting #7: cost 90 inf + 0 47.613 * * [simplify]: Extracting #8: cost 78 inf + 694 47.616 * * [simplify]: Extracting #9: cost 54 inf + 4576 47.621 * * [simplify]: Extracting #10: cost 20 inf + 14514 47.628 * * [simplify]: Extracting #11: cost 9 inf + 18910 47.635 * * [simplify]: Extracting #12: cost 4 inf + 23230 47.644 * * [simplify]: Extracting #13: cost 2 inf + 25278 47.652 * * [simplify]: Extracting #14: cost 0 inf + 27326 47.661 * [simplify]: Simplified to (* (cbrt (exp (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))))) (cbrt (exp (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))))) 47.661 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (* (* (cbrt (exp (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))))) (cbrt (exp (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))))) (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))))) 47.662 * [simplify]: Simplifying (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 47.662 * * [simplify]: iters left: 6 (22 enodes) 47.670 * * [simplify]: iters left: 5 (75 enodes) 47.680 * * [simplify]: iters left: 4 (99 enodes) 47.697 * * [simplify]: iters left: 3 (192 enodes) 47.766 * * [simplify]: iters left: 2 (376 enodes) 47.857 * * [simplify]: iters left: 1 (468 enodes) 47.978 * * [simplify]: Extracting #0: cost 1 inf + 0 47.978 * * [simplify]: Extracting #1: cost 3 inf + 0 47.978 * * [simplify]: Extracting #2: cost 5 inf + 0 47.978 * * [simplify]: Extracting #3: cost 7 inf + 0 47.978 * * [simplify]: Extracting #4: cost 15 inf + 0 47.978 * * [simplify]: Extracting #5: cost 53 inf + 0 47.979 * * [simplify]: Extracting #6: cost 87 inf + 0 47.979 * * [simplify]: Extracting #7: cost 78 inf + 309 47.980 * * [simplify]: Extracting #8: cost 60 inf + 2821 47.984 * * [simplify]: Extracting #9: cost 21 inf + 13323 47.991 * * [simplify]: Extracting #10: cost 8 inf + 18163 47.999 * * [simplify]: Extracting #11: cost 2 inf + 23367 48.007 * * [simplify]: Extracting #12: cost 0 inf + 25135 48.014 * * [simplify]: Extracting #13: cost 0 inf + 24975 48.022 * [simplify]: Simplified to (cbrt (exp (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))))) 48.023 * [simplify]: Simplified (2 2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (* (* (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) (cbrt (exp (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))))))))) 48.023 * * * * [progress]: [ 36 / 80 ] simplifiying candidate # 48.024 * [simplify]: Simplifying (* (* (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 48.024 * * [simplify]: iters left: 6 (23 enodes) 48.034 * * [simplify]: iters left: 5 (81 enodes) 48.057 * * [simplify]: iters left: 4 (113 enodes) 48.078 * * [simplify]: iters left: 3 (215 enodes) 48.123 * * [simplify]: iters left: 2 (409 enodes) 48.262 * * [simplify]: Extracting #0: cost 1 inf + 0 48.263 * * [simplify]: Extracting #1: cost 7 inf + 0 48.263 * * [simplify]: Extracting #2: cost 14 inf + 1 48.263 * * [simplify]: Extracting #3: cost 19 inf + 2 48.263 * * [simplify]: Extracting #4: cost 36 inf + 3 48.263 * * [simplify]: Extracting #5: cost 80 inf + 4 48.264 * * [simplify]: Extracting #6: cost 114 inf + 4 48.265 * * [simplify]: Extracting #7: cost 103 inf + 536 48.267 * * [simplify]: Extracting #8: cost 79 inf + 4424 48.273 * * [simplify]: Extracting #9: cost 24 inf + 24832 48.278 * * [simplify]: Extracting #10: cost 14 inf + 29945 48.284 * * [simplify]: Extracting #11: cost 4 inf + 39888 48.292 * * [simplify]: Extracting #12: cost 0 inf + 44096 48.299 * [simplify]: Simplified to (exp (+ (+ (acos (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))) (acos (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))) (acos (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))))) 48.299 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (cbrt (exp (+ (+ (acos (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))) (acos (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))) (acos (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))))))))) 48.299 * * * * [progress]: [ 37 / 80 ] simplifiying candidate # 48.299 * [simplify]: Simplifying (sqrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 48.300 * * [simplify]: iters left: 6 (22 enodes) 48.304 * * [simplify]: iters left: 5 (75 enodes) 48.317 * * [simplify]: iters left: 4 (99 enodes) 48.333 * * [simplify]: iters left: 3 (192 enodes) 48.373 * * [simplify]: iters left: 2 (376 enodes) 48.468 * * [simplify]: iters left: 1 (468 enodes) 48.572 * * [simplify]: Extracting #0: cost 1 inf + 0 48.572 * * [simplify]: Extracting #1: cost 3 inf + 0 48.572 * * [simplify]: Extracting #2: cost 5 inf + 0 48.572 * * [simplify]: Extracting #3: cost 7 inf + 0 48.572 * * [simplify]: Extracting #4: cost 15 inf + 0 48.572 * * [simplify]: Extracting #5: cost 53 inf + 0 48.573 * * [simplify]: Extracting #6: cost 87 inf + 0 48.573 * * [simplify]: Extracting #7: cost 78 inf + 309 48.574 * * [simplify]: Extracting #8: cost 60 inf + 2821 48.576 * * [simplify]: Extracting #9: cost 21 inf + 13323 48.579 * * [simplify]: Extracting #10: cost 8 inf + 18163 48.583 * * [simplify]: Extracting #11: cost 2 inf + 23367 48.587 * * [simplify]: Extracting #12: cost 0 inf + 25055 48.591 * * [simplify]: Extracting #13: cost 0 inf + 24895 48.595 * [simplify]: Simplified to (sqrt (exp (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))))) 48.595 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (* (sqrt (exp (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))))) (sqrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))))) 48.596 * [simplify]: Simplifying (sqrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 48.596 * * [simplify]: iters left: 6 (22 enodes) 48.600 * * [simplify]: iters left: 5 (75 enodes) 48.610 * * [simplify]: iters left: 4 (99 enodes) 48.628 * * [simplify]: iters left: 3 (192 enodes) 48.678 * * [simplify]: iters left: 2 (376 enodes) 48.794 * * [simplify]: iters left: 1 (468 enodes) 48.974 * * [simplify]: Extracting #0: cost 1 inf + 0 48.975 * * [simplify]: Extracting #1: cost 3 inf + 0 48.975 * * [simplify]: Extracting #2: cost 5 inf + 0 48.975 * * [simplify]: Extracting #3: cost 7 inf + 0 48.975 * * [simplify]: Extracting #4: cost 15 inf + 0 48.975 * * [simplify]: Extracting #5: cost 53 inf + 0 48.975 * * [simplify]: Extracting #6: cost 87 inf + 0 48.976 * * [simplify]: Extracting #7: cost 78 inf + 309 48.977 * * [simplify]: Extracting #8: cost 60 inf + 2821 48.981 * * [simplify]: Extracting #9: cost 21 inf + 13323 48.988 * * [simplify]: Extracting #10: cost 8 inf + 18163 48.996 * * [simplify]: Extracting #11: cost 2 inf + 23367 49.004 * * [simplify]: Extracting #12: cost 0 inf + 25055 49.008 * * [simplify]: Extracting #13: cost 0 inf + 24895 49.012 * [simplify]: Simplified to (sqrt (exp (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))))) 49.012 * [simplify]: Simplified (2 2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (* (sqrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) (sqrt (exp (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))))))))) 49.013 * * * * [progress]: [ 38 / 80 ] simplifiying candidate # 49.013 * * * * [progress]: [ 39 / 80 ] simplifiying candidate #real (real->posit16 (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))))))> 49.013 * [simplify]: Simplifying (real->posit16 (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 49.013 * * [simplify]: iters left: 6 (22 enodes) 49.019 * * [simplify]: iters left: 5 (72 enodes) 49.029 * * [simplify]: iters left: 4 (96 enodes) 49.058 * * [simplify]: iters left: 3 (189 enodes) 49.131 * * [simplify]: iters left: 2 (377 enodes) 49.222 * * [simplify]: iters left: 1 (480 enodes) 49.374 * * [simplify]: Extracting #0: cost 1 inf + 0 49.374 * * [simplify]: Extracting #1: cost 2 inf + 0 49.375 * * [simplify]: Extracting #2: cost 3 inf + 0 49.375 * * [simplify]: Extracting #3: cost 5 inf + 0 49.375 * * [simplify]: Extracting #4: cost 14 inf + 0 49.375 * * [simplify]: Extracting #5: cost 54 inf + 0 49.375 * * [simplify]: Extracting #6: cost 88 inf + 0 49.376 * * [simplify]: Extracting #7: cost 77 inf + 431 49.378 * * [simplify]: Extracting #8: cost 53 inf + 4818 49.383 * * [simplify]: Extracting #9: cost 17 inf + 15379 49.390 * * [simplify]: Extracting #10: cost 4 inf + 20802 49.395 * * [simplify]: Extracting #11: cost 1 inf + 23434 49.399 * * [simplify]: Extracting #12: cost 0 inf + 24358 49.403 * [simplify]: Simplified to (real->posit16 (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))))) 49.403 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (posit16->real (real->posit16 (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))))))))) 49.403 * * * * [progress]: [ 40 / 80 ] simplifiying candidate # 49.404 * [simplify]: Simplifying (* R (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) 49.404 * * [simplify]: iters left: 6 (24 enodes) 49.408 * * [simplify]: iters left: 5 (80 enodes) 49.422 * * [simplify]: iters left: 4 (104 enodes) 49.457 * * [simplify]: iters left: 3 (198 enodes) 49.505 * * [simplify]: iters left: 2 (382 enodes) 49.619 * * [simplify]: iters left: 1 (492 enodes) 49.820 * * [simplify]: Extracting #0: cost 1 inf + 0 49.821 * * [simplify]: Extracting #1: cost 4 inf + 0 49.821 * * [simplify]: Extracting #2: cost 6 inf + 1 49.821 * * [simplify]: Extracting #3: cost 16 inf + 1 49.821 * * [simplify]: Extracting #4: cost 54 inf + 1 49.821 * * [simplify]: Extracting #5: cost 88 inf + 1 49.822 * * [simplify]: Extracting #6: cost 75 inf + 756 49.824 * * [simplify]: Extracting #7: cost 53 inf + 4417 49.828 * * [simplify]: Extracting #8: cost 20 inf + 13185 49.836 * * [simplify]: Extracting #9: cost 6 inf + 20857 49.844 * * [simplify]: Extracting #10: cost 1 inf + 24699 49.853 * * [simplify]: Extracting #11: cost 0 inf + 25623 49.861 * [simplify]: Simplified to (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2))))) 49.861 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (pow (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2))))) 1)) 49.862 * * * * [progress]: [ 41 / 80 ] simplifiying candidate # 49.862 * * * * [progress]: [ 42 / 80 ] simplifiying candidate # 49.862 * [simplify]: Simplifying (+ (log R) (log (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))) 49.862 * * [simplify]: iters left: 6 (26 enodes) 49.870 * * [simplify]: iters left: 5 (86 enodes) 49.882 * * [simplify]: iters left: 4 (110 enodes) 49.903 * * [simplify]: iters left: 3 (203 enodes) 49.954 * * [simplify]: iters left: 2 (387 enodes) 50.086 * * [simplify]: iters left: 1 (493 enodes) 50.220 * * [simplify]: Extracting #0: cost 1 inf + 0 50.220 * * [simplify]: Extracting #1: cost 4 inf + 0 50.220 * * [simplify]: Extracting #2: cost 8 inf + 0 50.220 * * [simplify]: Extracting #3: cost 10 inf + 1 50.220 * * [simplify]: Extracting #4: cost 17 inf + 143 50.220 * * [simplify]: Extracting #5: cost 55 inf + 143 50.221 * * [simplify]: Extracting #6: cost 89 inf + 143 50.221 * * [simplify]: Extracting #7: cost 74 inf + 1222 50.222 * * [simplify]: Extracting #8: cost 42 inf + 7814 50.226 * * [simplify]: Extracting #9: cost 10 inf + 20932 50.235 * * [simplify]: Extracting #10: cost 1 inf + 25993 50.245 * * [simplify]: Extracting #11: cost 0 inf + 27028 50.254 * [simplify]: Simplified to (+ (log R) (log (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))) (cos phi2))))))) 50.254 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log R) (log (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))) (cos phi2))))))))) 50.255 * * * * [progress]: [ 43 / 80 ] simplifiying candidate # 50.255 * [simplify]: Simplifying (log (* R (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))) 50.255 * * [simplify]: iters left: 6 (25 enodes) 50.266 * * [simplify]: iters left: 5 (86 enodes) 50.289 * * [simplify]: iters left: 4 (115 enodes) 50.320 * * [simplify]: iters left: 3 (208 enodes) 50.374 * * [simplify]: iters left: 2 (392 enodes) 50.491 * * [simplify]: Extracting #0: cost 1 inf + 0 50.491 * * [simplify]: Extracting #1: cost 5 inf + 0 50.492 * * [simplify]: Extracting #2: cost 10 inf + 0 50.492 * * [simplify]: Extracting #3: cost 10 inf + 143 50.492 * * [simplify]: Extracting #4: cost 28 inf + 143 50.492 * * [simplify]: Extracting #5: cost 74 inf + 143 50.493 * * [simplify]: Extracting #6: cost 108 inf + 143 50.493 * * [simplify]: Extracting #7: cost 98 inf + 614 50.495 * * [simplify]: Extracting #8: cost 65 inf + 6360 50.499 * * [simplify]: Extracting #9: cost 20 inf + 23430 50.504 * * [simplify]: Extracting #10: cost 3 inf + 34575 50.510 * * [simplify]: Extracting #11: cost 0 inf + 37039 50.516 * * [simplify]: Extracting #12: cost 0 inf + 36799 50.522 * [simplify]: Simplified to (log (* R (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))))) 50.522 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* R (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))))))) 50.522 * * * * [progress]: [ 44 / 80 ] simplifiying candidate # 50.522 * [simplify]: Simplifying (exp (* R (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))) 50.523 * * [simplify]: iters left: 6 (25 enodes) 50.531 * * [simplify]: iters left: 5 (85 enodes) 50.556 * * [simplify]: iters left: 4 (116 enodes) 50.595 * * [simplify]: iters left: 3 (220 enodes) 50.653 * * [simplify]: iters left: 2 (427 enodes) 50.757 * * [simplify]: Extracting #0: cost 1 inf + 0 50.757 * * [simplify]: Extracting #1: cost 16 inf + 0 50.757 * * [simplify]: Extracting #2: cost 43 inf + 1 50.758 * * [simplify]: Extracting #3: cost 69 inf + 145 50.758 * * [simplify]: Extracting #4: cost 110 inf + 396 50.759 * * [simplify]: Extracting #5: cost 144 inf + 396 50.760 * * [simplify]: Extracting #6: cost 130 inf + 1313 50.762 * * [simplify]: Extracting #7: cost 110 inf + 4250 50.767 * * [simplify]: Extracting #8: cost 68 inf + 16667 50.776 * * [simplify]: Extracting #9: cost 43 inf + 29679 50.790 * * [simplify]: Extracting #10: cost 25 inf + 45906 50.809 * * [simplify]: Extracting #11: cost 8 inf + 65450 50.822 * * [simplify]: Extracting #12: cost 0 inf + 75704 50.836 * [simplify]: Simplified to (exp (* R (acos (+ (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi2))) (* (sin phi1) (sin phi2)))))) 50.836 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (log (exp (* R (acos (+ (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi2))) (* (sin phi1) (sin phi2)))))))) 50.836 * * * * [progress]: [ 45 / 80 ] simplifiying candidate # 50.836 * [simplify]: Simplifying (* (* (* R R) R) (* (* (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))) 50.837 * * [simplify]: iters left: 6 (28 enodes) 50.845 * * [simplify]: iters left: 5 (98 enodes) 50.873 * * [simplify]: iters left: 4 (151 enodes) 50.905 * * [simplify]: iters left: 3 (301 enodes) 50.982 * * [simplify]: Extracting #0: cost 1 inf + 0 50.982 * * [simplify]: Extracting #1: cost 25 inf + 0 50.982 * * [simplify]: Extracting #2: cost 50 inf + 43 50.982 * * [simplify]: Extracting #3: cost 57 inf + 247 50.983 * * [simplify]: Extracting #4: cost 127 inf + 884 50.983 * * [simplify]: Extracting #5: cost 157 inf + 884 50.984 * * [simplify]: Extracting #6: cost 148 inf + 1294 50.985 * * [simplify]: Extracting #7: cost 110 inf + 8732 50.990 * * [simplify]: Extracting #8: cost 51 inf + 30268 51.008 * * [simplify]: Extracting #9: cost 15 inf + 63110 51.031 * * [simplify]: Extracting #10: cost 1 inf + 77229 51.046 * * [simplify]: Extracting #11: cost 0 inf + 78073 51.069 * [simplify]: Simplified to (* (* R (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))) (* (* R (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))) (* R (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))))) 51.069 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* R (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))) (* (* R (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))) (* R (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))))))) 51.070 * * * * [progress]: [ 46 / 80 ] simplifiying candidate # 51.070 * [simplify]: Simplifying (* (cbrt (* R (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))) (cbrt (* R (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))))) 51.071 * * [simplify]: iters left: 6 (26 enodes) 51.081 * * [simplify]: iters left: 5 (86 enodes) 51.092 * * [simplify]: iters left: 4 (110 enodes) 51.112 * * [simplify]: iters left: 3 (203 enodes) 51.165 * * [simplify]: iters left: 2 (383 enodes) 51.309 * * [simplify]: iters left: 1 (494 enodes) 51.469 * * [simplify]: Extracting #0: cost 1 inf + 0 51.469 * * [simplify]: Extracting #1: cost 3 inf + 0 51.469 * * [simplify]: Extracting #2: cost 5 inf + 0 51.469 * * [simplify]: Extracting #3: cost 8 inf + 0 51.469 * * [simplify]: Extracting #4: cost 10 inf + 1 51.469 * * [simplify]: Extracting #5: cost 20 inf + 1 51.470 * * [simplify]: Extracting #6: cost 61 inf + 1 51.470 * * [simplify]: Extracting #7: cost 95 inf + 1 51.471 * * [simplify]: Extracting #8: cost 86 inf + 411 51.472 * * [simplify]: Extracting #9: cost 55 inf + 5126 51.479 * * [simplify]: Extracting #10: cost 17 inf + 19074 51.489 * * [simplify]: Extracting #11: cost 2 inf + 29904 51.497 * * [simplify]: Extracting #12: cost 0 inf + 30392 51.502 * [simplify]: Simplified to (* (cbrt (* R (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))))) (cbrt (* R (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))))) 51.502 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* R (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))))) (cbrt (* R (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))))) (cbrt (* R (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))))) 51.503 * [simplify]: Simplifying (cbrt (* R (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))) 51.503 * * [simplify]: iters left: 6 (25 enodes) 51.508 * * [simplify]: iters left: 5 (83 enodes) 51.519 * * [simplify]: iters left: 4 (107 enodes) 51.549 * * [simplify]: iters left: 3 (201 enodes) 51.608 * * [simplify]: iters left: 2 (385 enodes) 51.699 * * [simplify]: iters left: 1 (494 enodes) 51.818 * * [simplify]: Extracting #0: cost 1 inf + 0 51.818 * * [simplify]: Extracting #1: cost 3 inf + 0 51.818 * * [simplify]: Extracting #2: cost 6 inf + 0 51.818 * * [simplify]: Extracting #3: cost 8 inf + 1 51.818 * * [simplify]: Extracting #4: cost 18 inf + 1 51.819 * * [simplify]: Extracting #5: cost 57 inf + 1 51.819 * * [simplify]: Extracting #6: cost 91 inf + 1 51.820 * * [simplify]: Extracting #7: cost 82 inf + 310 51.821 * * [simplify]: Extracting #8: cost 59 inf + 3830 51.825 * * [simplify]: Extracting #9: cost 24 inf + 12621 51.833 * * [simplify]: Extracting #10: cost 6 inf + 22248 51.841 * * [simplify]: Extracting #11: cost 3 inf + 25042 51.850 * * [simplify]: Extracting #12: cost 0 inf + 27836 51.857 * [simplify]: Simplified to (cbrt (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)))))) 51.857 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* R (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))) (cbrt (* R (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))))) (cbrt (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)))))))) 51.858 * * * * [progress]: [ 47 / 80 ] simplifiying candidate # 51.858 * [simplify]: Simplifying (* (* (* R (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) (* R (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))) (* R (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))) 51.858 * * [simplify]: iters left: 6 (26 enodes) 51.863 * * [simplify]: iters left: 5 (96 enodes) 51.879 * * [simplify]: iters left: 4 (160 enodes) 51.934 * * [simplify]: iters left: 3 (304 enodes) 52.021 * * [simplify]: Extracting #0: cost 1 inf + 0 52.021 * * [simplify]: Extracting #1: cost 18 inf + 0 52.021 * * [simplify]: Extracting #2: cost 38 inf + 2 52.022 * * [simplify]: Extracting #3: cost 44 inf + 509 52.022 * * [simplify]: Extracting #4: cost 112 inf + 460 52.023 * * [simplify]: Extracting #5: cost 142 inf + 460 52.023 * * [simplify]: Extracting #6: cost 131 inf + 992 52.025 * * [simplify]: Extracting #7: cost 99 inf + 7963 52.030 * * [simplify]: Extracting #8: cost 36 inf + 32117 52.040 * * [simplify]: Extracting #9: cost 9 inf + 56525 52.065 * * [simplify]: Extracting #10: cost 0 inf + 64391 52.092 * * [simplify]: Extracting #11: cost 0 inf + 63391 52.111 * * [simplify]: Extracting #12: cost 0 inf + 63351 52.124 * [simplify]: Simplified to (* (* (* R (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) (* R (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) (* R (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) 52.124 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* R (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) (* R (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) (* R (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))))) 52.124 * * * * [progress]: [ 48 / 80 ] simplifiying candidate # 52.124 * [simplify]: Simplifying (sqrt (* R (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))) 52.124 * * [simplify]: iters left: 6 (25 enodes) 52.129 * * [simplify]: iters left: 5 (83 enodes) 52.148 * * [simplify]: iters left: 4 (107 enodes) 52.184 * * [simplify]: iters left: 3 (201 enodes) 52.235 * * [simplify]: iters left: 2 (385 enodes) 52.337 * * [simplify]: iters left: 1 (494 enodes) 52.480 * * [simplify]: Extracting #0: cost 1 inf + 0 52.480 * * [simplify]: Extracting #1: cost 3 inf + 0 52.480 * * [simplify]: Extracting #2: cost 6 inf + 0 52.480 * * [simplify]: Extracting #3: cost 8 inf + 1 52.480 * * [simplify]: Extracting #4: cost 18 inf + 1 52.481 * * [simplify]: Extracting #5: cost 57 inf + 1 52.481 * * [simplify]: Extracting #6: cost 91 inf + 1 52.482 * * [simplify]: Extracting #7: cost 82 inf + 310 52.483 * * [simplify]: Extracting #8: cost 59 inf + 3830 52.486 * * [simplify]: Extracting #9: cost 24 inf + 12621 52.489 * * [simplify]: Extracting #10: cost 6 inf + 22248 52.494 * * [simplify]: Extracting #11: cost 3 inf + 25002 52.498 * * [simplify]: Extracting #12: cost 0 inf + 27756 52.503 * [simplify]: Simplified to (sqrt (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)))))) 52.503 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)))))) (sqrt (* R (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))))) 52.503 * [simplify]: Simplifying (sqrt (* R (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))) 52.503 * * [simplify]: iters left: 6 (25 enodes) 52.508 * * [simplify]: iters left: 5 (83 enodes) 52.530 * * [simplify]: iters left: 4 (107 enodes) 52.566 * * [simplify]: iters left: 3 (201 enodes) 52.644 * * [simplify]: iters left: 2 (385 enodes) 52.772 * * [simplify]: iters left: 1 (494 enodes) 52.906 * * [simplify]: Extracting #0: cost 1 inf + 0 52.906 * * [simplify]: Extracting #1: cost 3 inf + 0 52.906 * * [simplify]: Extracting #2: cost 6 inf + 0 52.906 * * [simplify]: Extracting #3: cost 8 inf + 1 52.906 * * [simplify]: Extracting #4: cost 18 inf + 1 52.907 * * [simplify]: Extracting #5: cost 57 inf + 1 52.907 * * [simplify]: Extracting #6: cost 91 inf + 1 52.908 * * [simplify]: Extracting #7: cost 82 inf + 310 52.909 * * [simplify]: Extracting #8: cost 59 inf + 3830 52.914 * * [simplify]: Extracting #9: cost 24 inf + 12621 52.921 * * [simplify]: Extracting #10: cost 6 inf + 22248 52.929 * * [simplify]: Extracting #11: cost 3 inf + 25002 52.938 * * [simplify]: Extracting #12: cost 0 inf + 27756 52.948 * [simplify]: Simplified to (sqrt (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)))))) 52.948 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* R (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))) (sqrt (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)))))))) 52.948 * * * * [progress]: [ 49 / 80 ] simplifiying candidate # 52.948 * * * * [progress]: [ 50 / 80 ] simplifiying candidate # 52.948 * [simplify]: Simplifying (* (sqrt R) (sqrt (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))) 52.949 * * [simplify]: iters left: 6 (26 enodes) 52.960 * * [simplify]: iters left: 5 (86 enodes) 52.985 * * [simplify]: iters left: 4 (110 enodes) 53.016 * * [simplify]: iters left: 3 (203 enodes) 53.066 * * [simplify]: iters left: 2 (387 enodes) 53.185 * * [simplify]: iters left: 1 (493 enodes) 53.326 * * [simplify]: Extracting #0: cost 1 inf + 0 53.326 * * [simplify]: Extracting #1: cost 4 inf + 0 53.326 * * [simplify]: Extracting #2: cost 8 inf + 0 53.326 * * [simplify]: Extracting #3: cost 10 inf + 1 53.326 * * [simplify]: Extracting #4: cost 17 inf + 83 53.327 * * [simplify]: Extracting #5: cost 55 inf + 83 53.327 * * [simplify]: Extracting #6: cost 89 inf + 83 53.327 * * [simplify]: Extracting #7: cost 74 inf + 1162 53.329 * * [simplify]: Extracting #8: cost 42 inf + 7754 53.332 * * [simplify]: Extracting #9: cost 10 inf + 20842 53.336 * * [simplify]: Extracting #10: cost 1 inf + 25813 53.342 * * [simplify]: Extracting #11: cost 0 inf + 26788 53.347 * [simplify]: Simplified to (* (sqrt R) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))) (cos phi2))))))) 53.347 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt R) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))) (cos phi2))))))) (* (sqrt R) (sqrt (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))))) 53.347 * [simplify]: Simplifying (* (sqrt R) (sqrt (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))) 53.348 * * [simplify]: iters left: 6 (26 enodes) 53.358 * * [simplify]: iters left: 5 (86 enodes) 53.375 * * [simplify]: iters left: 4 (110 enodes) 53.395 * * [simplify]: iters left: 3 (203 enodes) 53.446 * * [simplify]: iters left: 2 (387 enodes) 53.538 * * [simplify]: iters left: 1 (493 enodes) 53.706 * * [simplify]: Extracting #0: cost 1 inf + 0 53.706 * * [simplify]: Extracting #1: cost 4 inf + 0 53.706 * * [simplify]: Extracting #2: cost 8 inf + 0 53.707 * * [simplify]: Extracting #3: cost 10 inf + 1 53.707 * * [simplify]: Extracting #4: cost 17 inf + 83 53.707 * * [simplify]: Extracting #5: cost 55 inf + 83 53.708 * * [simplify]: Extracting #6: cost 89 inf + 83 53.708 * * [simplify]: Extracting #7: cost 74 inf + 1162 53.711 * * [simplify]: Extracting #8: cost 42 inf + 7754 53.717 * * [simplify]: Extracting #9: cost 10 inf + 20842 53.725 * * [simplify]: Extracting #10: cost 1 inf + 25813 53.734 * * [simplify]: Extracting #11: cost 0 inf + 26788 53.743 * [simplify]: Simplified to (* (sqrt R) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))) (cos phi2))))))) 53.743 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt R) (sqrt (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))) (* (sqrt R) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))) (cos phi2))))))))) 53.743 * * * * [progress]: [ 51 / 80 ] simplifiying candidate # 53.744 * [simplify]: Simplifying (* R (log (* (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))))) 53.744 * * [simplify]: iters left: 6 (26 enodes) 53.754 * * [simplify]: iters left: 5 (90 enodes) 53.779 * * [simplify]: iters left: 4 (120 enodes) 53.805 * * [simplify]: iters left: 3 (220 enodes) 53.870 * * [simplify]: iters left: 2 (406 enodes) 54.029 * * [simplify]: Extracting #0: cost 1 inf + 0 54.029 * * [simplify]: Extracting #1: cost 7 inf + 0 54.029 * * [simplify]: Extracting #2: cost 12 inf + 1 54.029 * * [simplify]: Extracting #3: cost 13 inf + 83 54.030 * * [simplify]: Extracting #4: cost 15 inf + 83 54.030 * * [simplify]: Extracting #5: cost 17 inf + 83 54.030 * * [simplify]: Extracting #6: cost 33 inf + 83 54.030 * * [simplify]: Extracting #7: cost 75 inf + 83 54.031 * * [simplify]: Extracting #8: cost 109 inf + 83 54.032 * * [simplify]: Extracting #9: cost 99 inf + 554 54.034 * * [simplify]: Extracting #10: cost 67 inf + 6136 54.040 * * [simplify]: Extracting #11: cost 23 inf + 22642 54.050 * * [simplify]: Extracting #12: cost 12 inf + 29654 54.061 * * [simplify]: Extracting #13: cost 5 inf + 37283 54.075 * * [simplify]: Extracting #14: cost 0 inf + 42666 54.088 * * [simplify]: Extracting #15: cost 0 inf + 42266 54.100 * [simplify]: Simplified to (* (log (cbrt (exp (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))))) (+ R R)) 54.101 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (+ (* (log (cbrt (exp (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))))) (+ R R)) (* R (log (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))))) 54.101 * [simplify]: Simplifying (* R (log (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))) 54.101 * * [simplify]: iters left: 6 (25 enodes) 54.112 * * [simplify]: iters left: 5 (85 enodes) 54.136 * * [simplify]: iters left: 4 (109 enodes) 54.176 * * [simplify]: iters left: 3 (202 enodes) 54.253 * * [simplify]: iters left: 2 (382 enodes) 54.371 * * [simplify]: iters left: 1 (492 enodes) 54.541 * * [simplify]: Extracting #0: cost 1 inf + 0 54.541 * * [simplify]: Extracting #1: cost 4 inf + 0 54.541 * * [simplify]: Extracting #2: cost 5 inf + 1 54.541 * * [simplify]: Extracting #3: cost 7 inf + 1 54.541 * * [simplify]: Extracting #4: cost 9 inf + 1 54.541 * * [simplify]: Extracting #5: cost 11 inf + 1 54.541 * * [simplify]: Extracting #6: cost 19 inf + 1 54.541 * * [simplify]: Extracting #7: cost 57 inf + 1 54.542 * * [simplify]: Extracting #8: cost 91 inf + 1 54.542 * * [simplify]: Extracting #9: cost 83 inf + 249 54.544 * * [simplify]: Extracting #10: cost 61 inf + 3405 54.548 * * [simplify]: Extracting #11: cost 24 inf + 13324 54.555 * * [simplify]: Extracting #12: cost 8 inf + 21120 54.563 * * [simplify]: Extracting #13: cost 5 inf + 24052 54.574 * * [simplify]: Extracting #14: cost 2 inf + 27165 54.583 * * [simplify]: Extracting #15: cost 0 inf + 29354 54.592 * [simplify]: Simplified to (* (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2))))))) R) 54.593 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (+ (* R (log (* (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))))) (* (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2))))))) R))) 54.593 * * * * [progress]: [ 52 / 80 ] simplifiying candidate # 54.594 * [simplify]: Simplifying (* R (log (sqrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))) 54.594 * * [simplify]: iters left: 6 (25 enodes) 54.605 * * [simplify]: iters left: 5 (85 enodes) 54.623 * * [simplify]: iters left: 4 (109 enodes) 54.644 * * [simplify]: iters left: 3 (202 enodes) 54.722 * * [simplify]: iters left: 2 (382 enodes) 54.830 * * [simplify]: iters left: 1 (492 enodes) 54.985 * * [simplify]: Extracting #0: cost 1 inf + 0 54.985 * * [simplify]: Extracting #1: cost 4 inf + 0 54.985 * * [simplify]: Extracting #2: cost 5 inf + 1 54.985 * * [simplify]: Extracting #3: cost 7 inf + 1 54.985 * * [simplify]: Extracting #4: cost 9 inf + 1 54.985 * * [simplify]: Extracting #5: cost 11 inf + 1 54.985 * * [simplify]: Extracting #6: cost 19 inf + 1 54.986 * * [simplify]: Extracting #7: cost 57 inf + 1 54.986 * * [simplify]: Extracting #8: cost 91 inf + 1 54.986 * * [simplify]: Extracting #9: cost 83 inf + 249 54.987 * * [simplify]: Extracting #10: cost 61 inf + 3405 54.990 * * [simplify]: Extracting #11: cost 24 inf + 13324 54.993 * * [simplify]: Extracting #12: cost 8 inf + 21120 54.997 * * [simplify]: Extracting #13: cost 5 inf + 23972 55.002 * * [simplify]: Extracting #14: cost 2 inf + 27005 55.006 * * [simplify]: Extracting #15: cost 0 inf + 29114 55.013 * [simplify]: Simplified to (* (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2))))))) R) 55.014 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (+ (* (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2))))))) R) (* R (log (sqrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))))) 55.014 * [simplify]: Simplifying (* R (log (sqrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))) 55.014 * * [simplify]: iters left: 6 (25 enodes) 55.025 * * [simplify]: iters left: 5 (85 enodes) 55.048 * * [simplify]: iters left: 4 (109 enodes) 55.083 * * [simplify]: iters left: 3 (202 enodes) 55.129 * * [simplify]: iters left: 2 (382 enodes) 55.222 * * [simplify]: iters left: 1 (492 enodes) 55.334 * * [simplify]: Extracting #0: cost 1 inf + 0 55.335 * * [simplify]: Extracting #1: cost 4 inf + 0 55.335 * * [simplify]: Extracting #2: cost 5 inf + 1 55.335 * * [simplify]: Extracting #3: cost 7 inf + 1 55.335 * * [simplify]: Extracting #4: cost 9 inf + 1 55.335 * * [simplify]: Extracting #5: cost 11 inf + 1 55.335 * * [simplify]: Extracting #6: cost 19 inf + 1 55.335 * * [simplify]: Extracting #7: cost 57 inf + 1 55.335 * * [simplify]: Extracting #8: cost 91 inf + 1 55.336 * * [simplify]: Extracting #9: cost 83 inf + 249 55.336 * * [simplify]: Extracting #10: cost 61 inf + 3405 55.338 * * [simplify]: Extracting #11: cost 24 inf + 13324 55.342 * * [simplify]: Extracting #12: cost 8 inf + 21120 55.346 * * [simplify]: Extracting #13: cost 5 inf + 23972 55.352 * * [simplify]: Extracting #14: cost 2 inf + 27005 55.356 * * [simplify]: Extracting #15: cost 0 inf + 29114 55.365 * [simplify]: Simplified to (* (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2))))))) R) 55.365 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (+ (* R (log (sqrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))) (* (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2))))))) R))) 55.366 * * * * [progress]: [ 53 / 80 ] simplifiying candidate # 55.366 * [simplify]: Simplifying (* R (log 1)) 55.366 * * [simplify]: iters left: 3 (4 enodes) 55.369 * * [simplify]: iters left: 2 (15 enodes) 55.374 * * [simplify]: Extracting #0: cost 1 inf + 0 55.374 * * [simplify]: Extracting #1: cost 0 inf + 1 55.374 * [simplify]: Simplified to 0 55.374 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (+ 0 (* R (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))))) 55.375 * [simplify]: Simplifying (* R (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) 55.375 * * [simplify]: iters left: 6 (24 enodes) 55.385 * * [simplify]: iters left: 5 (80 enodes) 55.408 * * [simplify]: iters left: 4 (104 enodes) 55.443 * * [simplify]: iters left: 3 (198 enodes) 55.519 * * [simplify]: iters left: 2 (382 enodes) 55.672 * * [simplify]: iters left: 1 (492 enodes) 55.878 * * [simplify]: Extracting #0: cost 1 inf + 0 55.878 * * [simplify]: Extracting #1: cost 4 inf + 0 55.878 * * [simplify]: Extracting #2: cost 6 inf + 1 55.878 * * [simplify]: Extracting #3: cost 16 inf + 1 55.878 * * [simplify]: Extracting #4: cost 54 inf + 1 55.878 * * [simplify]: Extracting #5: cost 88 inf + 1 55.879 * * [simplify]: Extracting #6: cost 75 inf + 756 55.879 * * [simplify]: Extracting #7: cost 53 inf + 4417 55.882 * * [simplify]: Extracting #8: cost 20 inf + 13185 55.885 * * [simplify]: Extracting #9: cost 6 inf + 20857 55.889 * * [simplify]: Extracting #10: cost 1 inf + 24699 55.895 * * [simplify]: Extracting #11: cost 0 inf + 25623 55.903 * [simplify]: Simplified to (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2))))) 55.904 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (+ 0 (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2))))))) 55.904 * * * * [progress]: [ 54 / 80 ] simplifiying candidate # 55.904 * [simplify]: Simplifying (* (log (* (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))) R) 55.904 * * [simplify]: iters left: 6 (26 enodes) 55.914 * * [simplify]: iters left: 5 (90 enodes) 55.926 * * [simplify]: iters left: 4 (120 enodes) 55.945 * * [simplify]: iters left: 3 (220 enodes) 56.000 * * [simplify]: iters left: 2 (402 enodes) 56.103 * * [simplify]: Extracting #0: cost 1 inf + 0 56.103 * * [simplify]: Extracting #1: cost 7 inf + 0 56.103 * * [simplify]: Extracting #2: cost 12 inf + 1 56.103 * * [simplify]: Extracting #3: cost 13 inf + 83 56.103 * * [simplify]: Extracting #4: cost 15 inf + 83 56.103 * * [simplify]: Extracting #5: cost 17 inf + 83 56.103 * * [simplify]: Extracting #6: cost 33 inf + 83 56.103 * * [simplify]: Extracting #7: cost 78 inf + 83 56.104 * * [simplify]: Extracting #8: cost 112 inf + 83 56.104 * * [simplify]: Extracting #9: cost 100 inf + 777 56.105 * * [simplify]: Extracting #10: cost 65 inf + 6948 56.109 * * [simplify]: Extracting #11: cost 22 inf + 22863 56.118 * * [simplify]: Extracting #12: cost 14 inf + 28265 56.130 * * [simplify]: Extracting #13: cost 10 inf + 32091 56.143 * * [simplify]: Extracting #14: cost 2 inf + 40786 56.157 * * [simplify]: Extracting #15: cost 0 inf + 43055 56.172 * [simplify]: Simplified to (* R (log (* (cbrt (exp (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))))) (cbrt (exp (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))))))) 56.172 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (+ (* R (log (* (cbrt (exp (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))))) (cbrt (exp (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))))))) (* (log (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) R))) 56.173 * [simplify]: Simplifying (* (log (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) R) 56.173 * * [simplify]: iters left: 6 (25 enodes) 56.184 * * [simplify]: iters left: 5 (85 enodes) 56.208 * * [simplify]: iters left: 4 (109 enodes) 56.239 * * [simplify]: iters left: 3 (202 enodes) 56.296 * * [simplify]: iters left: 2 (386 enodes) 56.450 * * [simplify]: iters left: 1 (492 enodes) 56.603 * * [simplify]: Extracting #0: cost 1 inf + 0 56.603 * * [simplify]: Extracting #1: cost 4 inf + 0 56.603 * * [simplify]: Extracting #2: cost 5 inf + 1 56.603 * * [simplify]: Extracting #3: cost 7 inf + 1 56.603 * * [simplify]: Extracting #4: cost 9 inf + 1 56.603 * * [simplify]: Extracting #5: cost 11 inf + 1 56.603 * * [simplify]: Extracting #6: cost 19 inf + 1 56.604 * * [simplify]: Extracting #7: cost 57 inf + 1 56.604 * * [simplify]: Extracting #8: cost 91 inf + 1 56.604 * * [simplify]: Extracting #9: cost 77 inf + 615 56.606 * * [simplify]: Extracting #10: cost 54 inf + 5141 56.610 * * [simplify]: Extracting #11: cost 20 inf + 16885 56.618 * * [simplify]: Extracting #12: cost 6 inf + 22968 56.627 * * [simplify]: Extracting #13: cost 2 inf + 27235 56.636 * * [simplify]: Extracting #14: cost 0 inf + 29354 56.645 * [simplify]: Simplified to (* R (log (cbrt (exp (acos (+ (* (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2)))))))) 56.646 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (+ (* (log (* (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))) R) (* R (log (cbrt (exp (acos (+ (* (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2)))))))))) 56.646 * * * * [progress]: [ 55 / 80 ] simplifiying candidate # 56.646 * [simplify]: Simplifying (* (log (sqrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) R) 56.647 * * [simplify]: iters left: 6 (25 enodes) 56.657 * * [simplify]: iters left: 5 (85 enodes) 56.684 * * [simplify]: iters left: 4 (109 enodes) 56.720 * * [simplify]: iters left: 3 (202 enodes) 56.798 * * [simplify]: iters left: 2 (386 enodes) 56.932 * * [simplify]: iters left: 1 (492 enodes) 57.081 * * [simplify]: Extracting #0: cost 1 inf + 0 57.081 * * [simplify]: Extracting #1: cost 4 inf + 0 57.081 * * [simplify]: Extracting #2: cost 5 inf + 1 57.081 * * [simplify]: Extracting #3: cost 7 inf + 1 57.081 * * [simplify]: Extracting #4: cost 9 inf + 1 57.081 * * [simplify]: Extracting #5: cost 11 inf + 1 57.081 * * [simplify]: Extracting #6: cost 19 inf + 1 57.081 * * [simplify]: Extracting #7: cost 57 inf + 1 57.082 * * [simplify]: Extracting #8: cost 91 inf + 1 57.082 * * [simplify]: Extracting #9: cost 77 inf + 615 57.083 * * [simplify]: Extracting #10: cost 54 inf + 5141 57.086 * * [simplify]: Extracting #11: cost 20 inf + 16885 57.089 * * [simplify]: Extracting #12: cost 6 inf + 22968 57.094 * * [simplify]: Extracting #13: cost 2 inf + 27075 57.099 * * [simplify]: Extracting #14: cost 0 inf + 29114 57.104 * [simplify]: Simplified to (* R (log (sqrt (exp (acos (+ (* (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2)))))))) 57.104 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (+ (* R (log (sqrt (exp (acos (+ (* (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2)))))))) (* (log (sqrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) R))) 57.104 * [simplify]: Simplifying (* (log (sqrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) R) 57.104 * * [simplify]: iters left: 6 (25 enodes) 57.109 * * [simplify]: iters left: 5 (85 enodes) 57.121 * * [simplify]: iters left: 4 (109 enodes) 57.139 * * [simplify]: iters left: 3 (202 enodes) 57.195 * * [simplify]: iters left: 2 (386 enodes) 57.295 * * [simplify]: iters left: 1 (492 enodes) 57.459 * * [simplify]: Extracting #0: cost 1 inf + 0 57.459 * * [simplify]: Extracting #1: cost 4 inf + 0 57.459 * * [simplify]: Extracting #2: cost 5 inf + 1 57.459 * * [simplify]: Extracting #3: cost 7 inf + 1 57.459 * * [simplify]: Extracting #4: cost 9 inf + 1 57.459 * * [simplify]: Extracting #5: cost 11 inf + 1 57.459 * * [simplify]: Extracting #6: cost 19 inf + 1 57.459 * * [simplify]: Extracting #7: cost 57 inf + 1 57.459 * * [simplify]: Extracting #8: cost 91 inf + 1 57.460 * * [simplify]: Extracting #9: cost 77 inf + 615 57.461 * * [simplify]: Extracting #10: cost 54 inf + 5141 57.463 * * [simplify]: Extracting #11: cost 20 inf + 16885 57.467 * * [simplify]: Extracting #12: cost 6 inf + 22968 57.471 * * [simplify]: Extracting #13: cost 2 inf + 27075 57.476 * * [simplify]: Extracting #14: cost 0 inf + 29114 57.481 * [simplify]: Simplified to (* R (log (sqrt (exp (acos (+ (* (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2)))))))) 57.481 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (+ (* (log (sqrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) R) (* R (log (sqrt (exp (acos (+ (* (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2)))))))))) 57.481 * * * * [progress]: [ 56 / 80 ] simplifiying candidate # 57.481 * [simplify]: Simplifying (* (log 1) R) 57.481 * * [simplify]: iters left: 3 (4 enodes) 57.483 * * [simplify]: iters left: 2 (15 enodes) 57.486 * * [simplify]: Extracting #0: cost 1 inf + 0 57.486 * * [simplify]: Extracting #1: cost 0 inf + 1 57.486 * [simplify]: Simplified to 0 57.486 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (+ 0 (* (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) R))) 57.486 * [simplify]: Simplifying (* (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) R) 57.487 * * [simplify]: iters left: 6 (24 enodes) 57.493 * * [simplify]: iters left: 5 (80 enodes) 57.512 * * [simplify]: iters left: 4 (104 enodes) 57.547 * * [simplify]: iters left: 3 (197 enodes) 57.591 * * [simplify]: iters left: 2 (381 enodes) 57.694 * * [simplify]: iters left: 1 (487 enodes) 57.919 * * [simplify]: Extracting #0: cost 1 inf + 0 57.919 * * [simplify]: Extracting #1: cost 4 inf + 0 57.919 * * [simplify]: Extracting #2: cost 6 inf + 1 57.919 * * [simplify]: Extracting #3: cost 16 inf + 1 57.920 * * [simplify]: Extracting #4: cost 54 inf + 1 57.920 * * [simplify]: Extracting #5: cost 88 inf + 1 57.920 * * [simplify]: Extracting #6: cost 77 inf + 432 57.921 * * [simplify]: Extracting #7: cost 52 inf + 5282 57.923 * * [simplify]: Extracting #8: cost 20 inf + 13688 57.928 * * [simplify]: Extracting #9: cost 2 inf + 24135 57.932 * * [simplify]: Extracting #10: cost 0 inf + 25623 57.941 * [simplify]: Simplified to (* (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))))) R) 57.941 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (+ 0 (* (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))))) R))) 57.941 * * * * [progress]: [ 57 / 80 ] simplifiying candidate # 57.942 * [simplify]: Simplifying (* R 1) 57.942 * * [simplify]: iters left: 2 (3 enodes) 57.944 * * [simplify]: iters left: 1 (9 enodes) 57.949 * * [simplify]: Extracting #0: cost 1 inf + 0 57.949 * * [simplify]: Extracting #1: cost 0 inf + 1 57.949 * [simplify]: Simplified to R 57.949 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))) 57.949 * * * * [progress]: [ 58 / 80 ] simplifiying candidate # 57.950 * [simplify]: Simplifying (* R (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 57.950 * * [simplify]: iters left: 6 (23 enodes) 57.959 * * [simplify]: iters left: 5 (79 enodes) 57.981 * * [simplify]: iters left: 4 (103 enodes) 58.017 * * [simplify]: iters left: 3 (196 enodes) 58.079 * * [simplify]: iters left: 2 (384 enodes) 58.161 * * [simplify]: iters left: 1 (465 enodes) 58.257 * * [simplify]: Extracting #0: cost 1 inf + 0 58.257 * * [simplify]: Extracting #1: cost 4 inf + 0 58.257 * * [simplify]: Extracting #2: cost 5 inf + 1 58.257 * * [simplify]: Extracting #3: cost 7 inf + 1 58.257 * * [simplify]: Extracting #4: cost 15 inf + 1 58.257 * * [simplify]: Extracting #5: cost 55 inf + 1 58.257 * * [simplify]: Extracting #6: cost 89 inf + 1 58.258 * * [simplify]: Extracting #7: cost 74 inf + 878 58.258 * * [simplify]: Extracting #8: cost 54 inf + 4720 58.261 * * [simplify]: Extracting #9: cost 16 inf + 15304 58.265 * * [simplify]: Extracting #10: cost 4 inf + 21646 58.269 * * [simplify]: Extracting #11: cost 2 inf + 23555 58.273 * * [simplify]: Extracting #12: cost 0 inf + 25464 58.278 * [simplify]: Simplified to (* (cbrt (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi1) (sin phi2))))) R) 58.278 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi1) (sin phi2))))) R) (log (exp (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))))) 58.278 * * * * [progress]: [ 59 / 80 ] simplifiying candidate # 58.278 * [simplify]: Simplifying (* R (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 58.278 * * [simplify]: iters left: 6 (23 enodes) 58.283 * * [simplify]: iters left: 5 (79 enodes) 58.295 * * [simplify]: iters left: 4 (103 enodes) 58.312 * * [simplify]: iters left: 3 (196 enodes) 58.350 * * [simplify]: iters left: 2 (384 enodes) 58.433 * * [simplify]: iters left: 1 (465 enodes) 58.556 * * [simplify]: Extracting #0: cost 1 inf + 0 58.556 * * [simplify]: Extracting #1: cost 4 inf + 0 58.556 * * [simplify]: Extracting #2: cost 5 inf + 1 58.556 * * [simplify]: Extracting #3: cost 7 inf + 1 58.556 * * [simplify]: Extracting #4: cost 15 inf + 1 58.556 * * [simplify]: Extracting #5: cost 55 inf + 1 58.556 * * [simplify]: Extracting #6: cost 89 inf + 1 58.557 * * [simplify]: Extracting #7: cost 74 inf + 878 58.558 * * [simplify]: Extracting #8: cost 54 inf + 4720 58.560 * * [simplify]: Extracting #9: cost 16 inf + 15304 58.564 * * [simplify]: Extracting #10: cost 4 inf + 21646 58.568 * * [simplify]: Extracting #11: cost 2 inf + 23475 58.572 * * [simplify]: Extracting #12: cost 0 inf + 25304 58.576 * [simplify]: Simplified to (* (sqrt (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi1) (sin phi2))))) R) 58.576 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi1) (sin phi2))))) R) (log (exp (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))))) 58.576 * * * * [progress]: [ 60 / 80 ] simplifiying candidate # 58.577 * [simplify]: Simplifying (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 58.577 * * [simplify]: iters left: 6 (22 enodes) 58.581 * * [simplify]: iters left: 5 (76 enodes) 58.592 * * [simplify]: iters left: 4 (100 enodes) 58.610 * * [simplify]: iters left: 3 (194 enodes) 58.647 * * [simplify]: iters left: 2 (378 enodes) 58.730 * * [simplify]: iters left: 1 (486 enodes) 58.931 * * [simplify]: Extracting #0: cost 1 inf + 0 58.931 * * [simplify]: Extracting #1: cost 4 inf + 0 58.931 * * [simplify]: Extracting #2: cost 5 inf + 1 58.931 * * [simplify]: Extracting #3: cost 13 inf + 1 58.931 * * [simplify]: Extracting #4: cost 50 inf + 1 58.932 * * [simplify]: Extracting #5: cost 84 inf + 1 58.932 * * [simplify]: Extracting #6: cost 75 inf + 310 58.934 * * [simplify]: Extracting #7: cost 51 inf + 4095 58.941 * * [simplify]: Extracting #8: cost 13 inf + 15441 58.948 * * [simplify]: Extracting #9: cost 2 inf + 21177 58.956 * * [simplify]: Extracting #10: cost 0 inf + 22807 58.963 * * [simplify]: Extracting #11: cost 0 inf + 22647 58.971 * [simplify]: Simplified to (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi2)))))) 58.971 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi2)))))) (log (exp 1)))) 58.971 * * * * [progress]: [ 61 / 80 ] simplifiying candidate # 58.972 * [simplify]: Simplifying (* R (* (cbrt (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) (cbrt (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))))) 58.972 * * [simplify]: iters left: 6 (26 enodes) 58.983 * * [simplify]: iters left: 5 (88 enodes) 59.008 * * [simplify]: iters left: 4 (116 enodes) 59.049 * * [simplify]: iters left: 3 (209 enodes) 59.129 * * [simplify]: iters left: 2 (393 enodes) 59.263 * * [simplify]: Extracting #0: cost 1 inf + 0 59.263 * * [simplify]: Extracting #1: cost 6 inf + 0 59.263 * * [simplify]: Extracting #2: cost 9 inf + 1 59.264 * * [simplify]: Extracting #3: cost 12 inf + 1 59.264 * * [simplify]: Extracting #4: cost 30 inf + 1 59.264 * * [simplify]: Extracting #5: cost 73 inf + 1 59.264 * * [simplify]: Extracting #6: cost 107 inf + 1 59.264 * * [simplify]: Extracting #7: cost 97 inf + 472 59.266 * * [simplify]: Extracting #8: cost 62 inf + 7950 59.270 * * [simplify]: Extracting #9: cost 20 inf + 23225 59.280 * * [simplify]: Extracting #10: cost 7 inf + 31644 59.290 * * [simplify]: Extracting #11: cost 0 inf + 38656 59.296 * * [simplify]: Extracting #12: cost 0 inf + 38096 59.303 * [simplify]: Simplified to (* R (* (cbrt (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))))) 59.303 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* R (* (cbrt (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))))) (cbrt (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))))) 59.304 * * * * [progress]: [ 62 / 80 ] simplifiying candidate # 59.304 * [simplify]: Simplifying (* R (sqrt (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))) 59.304 * * [simplify]: iters left: 6 (25 enodes) 59.309 * * [simplify]: iters left: 5 (83 enodes) 59.330 * * [simplify]: iters left: 4 (107 enodes) 59.348 * * [simplify]: iters left: 3 (201 enodes) 59.414 * * [simplify]: iters left: 2 (385 enodes) 59.516 * * [simplify]: iters left: 1 (494 enodes) 59.693 * * [simplify]: Extracting #0: cost 1 inf + 0 59.693 * * [simplify]: Extracting #1: cost 4 inf + 0 59.693 * * [simplify]: Extracting #2: cost 5 inf + 1 59.693 * * [simplify]: Extracting #3: cost 8 inf + 1 59.693 * * [simplify]: Extracting #4: cost 18 inf + 1 59.693 * * [simplify]: Extracting #5: cost 57 inf + 1 59.694 * * [simplify]: Extracting #6: cost 91 inf + 1 59.695 * * [simplify]: Extracting #7: cost 82 inf + 310 59.696 * * [simplify]: Extracting #8: cost 59 inf + 3830 59.698 * * [simplify]: Extracting #9: cost 24 inf + 12621 59.702 * * [simplify]: Extracting #10: cost 6 inf + 22248 59.706 * * [simplify]: Extracting #11: cost 3 inf + 25001 59.711 * * [simplify]: Extracting #12: cost 0 inf + 27754 59.716 * [simplify]: Simplified to (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2))))) R) 59.716 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2))))) R) (sqrt (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))))) 59.716 * * * * [progress]: [ 63 / 80 ] simplifiying candidate # 59.716 * [simplify]: Simplifying (* R 1) 59.716 * * [simplify]: iters left: 2 (3 enodes) 59.718 * * [simplify]: iters left: 1 (9 enodes) 59.719 * * [simplify]: Extracting #0: cost 1 inf + 0 59.719 * * [simplify]: Extracting #1: cost 0 inf + 1 59.719 * [simplify]: Simplified to R 59.719 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))) 59.719 * * * * [progress]: [ 64 / 80 ] simplifiying candidate # 59.720 * [simplify]: Simplifying (* (cbrt R) (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) 59.720 * * [simplify]: iters left: 6 (25 enodes) 59.726 * * [simplify]: iters left: 5 (83 enodes) 59.749 * * [simplify]: iters left: 4 (107 enodes) 59.788 * * [simplify]: iters left: 3 (201 enodes) 59.850 * * [simplify]: iters left: 2 (385 enodes) 59.937 * * [simplify]: iters left: 1 (478 enodes) 60.062 * * [simplify]: Extracting #0: cost 1 inf + 0 60.062 * * [simplify]: Extracting #1: cost 4 inf + 0 60.062 * * [simplify]: Extracting #2: cost 9 inf + 0 60.062 * * [simplify]: Extracting #3: cost 17 inf + 1 60.062 * * [simplify]: Extracting #4: cost 53 inf + 82 60.062 * * [simplify]: Extracting #5: cost 86 inf + 163 60.063 * * [simplify]: Extracting #6: cost 61 inf + 2357 60.064 * * [simplify]: Extracting #7: cost 21 inf + 12602 60.069 * * [simplify]: Extracting #8: cost 3 inf + 22264 60.073 * * [simplify]: Extracting #9: cost 0 inf + 24817 60.077 * [simplify]: Simplified to (* (cbrt R) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) 60.078 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt R) (cbrt R)) (* (cbrt R) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) 60.078 * * * * [progress]: [ 65 / 80 ] simplifiying candidate # 60.078 * [simplify]: Simplifying (* (sqrt R) (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) 60.078 * * [simplify]: iters left: 6 (25 enodes) 60.083 * * [simplify]: iters left: 5 (83 enodes) 60.102 * * [simplify]: iters left: 4 (107 enodes) 60.125 * * [simplify]: iters left: 3 (201 enodes) 60.173 * * [simplify]: iters left: 2 (385 enodes) 60.267 * * [simplify]: iters left: 1 (478 enodes) 60.382 * * [simplify]: Extracting #0: cost 1 inf + 0 60.382 * * [simplify]: Extracting #1: cost 4 inf + 0 60.382 * * [simplify]: Extracting #2: cost 9 inf + 0 60.382 * * [simplify]: Extracting #3: cost 17 inf + 1 60.382 * * [simplify]: Extracting #4: cost 53 inf + 42 60.382 * * [simplify]: Extracting #5: cost 86 inf + 83 60.383 * * [simplify]: Extracting #6: cost 61 inf + 2277 60.387 * * [simplify]: Extracting #7: cost 21 inf + 12522 60.394 * * [simplify]: Extracting #8: cost 3 inf + 22144 60.403 * * [simplify]: Extracting #9: cost 0 inf + 24657 60.411 * [simplify]: Simplified to (* (sqrt R) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) 60.411 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt R) (* (sqrt R) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) 60.411 * * * * [progress]: [ 66 / 80 ] simplifiying candidate # 60.411 * [simplify]: Simplifying (* R (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) 60.412 * * [simplify]: iters left: 6 (24 enodes) 60.424 * * [simplify]: iters left: 5 (80 enodes) 60.435 * * [simplify]: iters left: 4 (104 enodes) 60.453 * * [simplify]: iters left: 3 (198 enodes) 60.502 * * [simplify]: iters left: 2 (382 enodes) 60.654 * * [simplify]: iters left: 1 (492 enodes) 60.859 * * [simplify]: Extracting #0: cost 1 inf + 0 60.859 * * [simplify]: Extracting #1: cost 4 inf + 0 60.859 * * [simplify]: Extracting #2: cost 6 inf + 1 60.859 * * [simplify]: Extracting #3: cost 16 inf + 1 60.859 * * [simplify]: Extracting #4: cost 54 inf + 1 60.860 * * [simplify]: Extracting #5: cost 88 inf + 1 60.860 * * [simplify]: Extracting #6: cost 75 inf + 756 60.861 * * [simplify]: Extracting #7: cost 53 inf + 4417 60.863 * * [simplify]: Extracting #8: cost 20 inf + 13185 60.867 * * [simplify]: Extracting #9: cost 6 inf + 20857 60.871 * * [simplify]: Extracting #10: cost 1 inf + 24699 60.877 * * [simplify]: Extracting #11: cost 0 inf + 25623 60.885 * [simplify]: Simplified to (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2))))) 60.885 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2))))))) 60.885 * * * * [progress]: [ 67 / 80 ] simplifiying candidate #real (real->posit16 (* R (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))))))> 60.885 * [simplify]: Simplifying (real->posit16 (* R (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))) 60.886 * * [simplify]: iters left: 6 (25 enodes) 60.894 * * [simplify]: iters left: 5 (80 enodes) 60.914 * * [simplify]: iters left: 4 (104 enodes) 60.937 * * [simplify]: iters left: 3 (198 enodes) 60.976 * * [simplify]: iters left: 2 (382 enodes) 61.075 * * [simplify]: iters left: 1 (493 enodes) 61.288 * * [simplify]: Extracting #0: cost 1 inf + 0 61.288 * * [simplify]: Extracting #1: cost 2 inf + 0 61.288 * * [simplify]: Extracting #2: cost 4 inf + 0 61.288 * * [simplify]: Extracting #3: cost 6 inf + 1 61.288 * * [simplify]: Extracting #4: cost 16 inf + 1 61.288 * * [simplify]: Extracting #5: cost 54 inf + 1 61.289 * * [simplify]: Extracting #6: cost 88 inf + 1 61.289 * * [simplify]: Extracting #7: cost 76 inf + 594 61.291 * * [simplify]: Extracting #8: cost 51 inf + 4842 61.297 * * [simplify]: Extracting #9: cost 18 inf + 13812 61.304 * * [simplify]: Extracting #10: cost 5 inf + 21421 61.312 * * [simplify]: Extracting #11: cost 1 inf + 24699 61.316 * * [simplify]: Extracting #12: cost 0 inf + 25623 61.321 * [simplify]: Simplified to (real->posit16 (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)))))) 61.321 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (posit16->real (real->posit16 (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)))))))) 61.321 * * * * [progress]: [ 68 / 80 ] simplifiying candidate # 61.321 * * * * [progress]: [ 69 / 80 ] simplifiying candidate # 61.321 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 61.322 * * [simplify]: iters left: 6 (22 enodes) 61.326 * * [simplify]: iters left: 5 (84 enodes) 61.339 * * [simplify]: iters left: 4 (141 enodes) 61.381 * * [simplify]: iters left: 3 (241 enodes) 61.430 * * [simplify]: iters left: 2 (280 enodes) 61.475 * * [simplify]: Extracting #0: cost 1 inf + 0 61.475 * * [simplify]: Extracting #1: cost 3 inf + 0 61.475 * * [simplify]: Extracting #2: cost 10 inf + 0 61.475 * * [simplify]: Extracting #3: cost 46 inf + 0 61.476 * * [simplify]: Extracting #4: cost 80 inf + 0 61.477 * * [simplify]: Extracting #5: cost 63 inf + 1504 61.480 * * [simplify]: Extracting #6: cost 22 inf + 9796 61.486 * * [simplify]: Extracting #7: cost 5 inf + 17031 61.492 * * [simplify]: Extracting #8: cost 0 inf + 19888 61.498 * * [simplify]: Extracting #9: cost 0 inf + 19728 61.501 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) 61.501 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))))) 61.501 * * * * [progress]: [ 70 / 80 ] simplifiying candidate # 61.501 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 61.502 * * [simplify]: iters left: 6 (22 enodes) 61.506 * * [simplify]: iters left: 5 (84 enodes) 61.519 * * [simplify]: iters left: 4 (141 enodes) 61.548 * * [simplify]: iters left: 3 (241 enodes) 61.588 * * [simplify]: iters left: 2 (280 enodes) 61.668 * * [simplify]: Extracting #0: cost 1 inf + 0 61.668 * * [simplify]: Extracting #1: cost 3 inf + 0 61.668 * * [simplify]: Extracting #2: cost 10 inf + 0 61.668 * * [simplify]: Extracting #3: cost 46 inf + 0 61.669 * * [simplify]: Extracting #4: cost 80 inf + 0 61.670 * * [simplify]: Extracting #5: cost 58 inf + 2112 61.673 * * [simplify]: Extracting #6: cost 20 inf + 10221 61.679 * * [simplify]: Extracting #7: cost 2 inf + 18300 61.685 * * [simplify]: Extracting #8: cost 0 inf + 19888 61.689 * * [simplify]: Extracting #9: cost 0 inf + 19728 61.692 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) 61.692 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))))))) 61.692 * * * * [progress]: [ 71 / 80 ] simplifiying candidate # 61.693 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 61.693 * * [simplify]: iters left: 6 (22 enodes) 61.697 * * [simplify]: iters left: 5 (84 enodes) 61.710 * * [simplify]: iters left: 4 (141 enodes) 61.758 * * [simplify]: iters left: 3 (241 enodes) 61.810 * * [simplify]: iters left: 2 (280 enodes) 61.863 * * [simplify]: Extracting #0: cost 1 inf + 0 61.863 * * [simplify]: Extracting #1: cost 3 inf + 0 61.863 * * [simplify]: Extracting #2: cost 10 inf + 0 61.863 * * [simplify]: Extracting #3: cost 46 inf + 0 61.864 * * [simplify]: Extracting #4: cost 80 inf + 0 61.864 * * [simplify]: Extracting #5: cost 63 inf + 1504 61.867 * * [simplify]: Extracting #6: cost 22 inf + 9796 61.872 * * [simplify]: Extracting #7: cost 5 inf + 17031 61.879 * * [simplify]: Extracting #8: cost 0 inf + 19888 61.885 * * [simplify]: Extracting #9: cost 0 inf + 19728 61.892 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) 61.892 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))))) 61.893 * * * * [progress]: [ 72 / 80 ] simplifiying candidate # 61.893 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 61.893 * * [simplify]: iters left: 6 (22 enodes) 61.903 * * [simplify]: iters left: 5 (84 enodes) 61.930 * * [simplify]: iters left: 4 (141 enodes) 61.964 * * [simplify]: iters left: 3 (241 enodes) 62.014 * * [simplify]: iters left: 2 (280 enodes) 62.066 * * [simplify]: Extracting #0: cost 1 inf + 0 62.066 * * [simplify]: Extracting #1: cost 3 inf + 0 62.066 * * [simplify]: Extracting #2: cost 10 inf + 0 62.066 * * [simplify]: Extracting #3: cost 46 inf + 0 62.067 * * [simplify]: Extracting #4: cost 80 inf + 0 62.067 * * [simplify]: Extracting #5: cost 63 inf + 1504 62.071 * * [simplify]: Extracting #6: cost 22 inf + 9796 62.076 * * [simplify]: Extracting #7: cost 5 inf + 17031 62.083 * * [simplify]: Extracting #8: cost 0 inf + 19888 62.089 * * [simplify]: Extracting #9: cost 0 inf + 19728 62.096 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) 62.096 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) 62.096 * * * * [progress]: [ 73 / 80 ] simplifiying candidate # 62.097 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 62.097 * * [simplify]: iters left: 6 (22 enodes) 62.106 * * [simplify]: iters left: 5 (84 enodes) 62.132 * * [simplify]: iters left: 4 (141 enodes) 62.185 * * [simplify]: iters left: 3 (241 enodes) 62.241 * * [simplify]: iters left: 2 (280 enodes) 62.319 * * [simplify]: Extracting #0: cost 1 inf + 0 62.319 * * [simplify]: Extracting #1: cost 3 inf + 0 62.319 * * [simplify]: Extracting #2: cost 10 inf + 0 62.319 * * [simplify]: Extracting #3: cost 46 inf + 0 62.319 * * [simplify]: Extracting #4: cost 80 inf + 0 62.320 * * [simplify]: Extracting #5: cost 58 inf + 2112 62.321 * * [simplify]: Extracting #6: cost 20 inf + 10221 62.324 * * [simplify]: Extracting #7: cost 2 inf + 18300 62.328 * * [simplify]: Extracting #8: cost 0 inf + 19888 62.333 * * [simplify]: Extracting #9: cost 0 inf + 19728 62.336 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) 62.336 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))))) 62.336 * * * * [progress]: [ 74 / 80 ] simplifiying candidate # 62.336 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 62.337 * * [simplify]: iters left: 6 (22 enodes) 62.341 * * [simplify]: iters left: 5 (84 enodes) 62.359 * * [simplify]: iters left: 4 (141 enodes) 62.397 * * [simplify]: iters left: 3 (241 enodes) 62.452 * * [simplify]: iters left: 2 (280 enodes) 62.500 * * [simplify]: Extracting #0: cost 1 inf + 0 62.500 * * [simplify]: Extracting #1: cost 3 inf + 0 62.500 * * [simplify]: Extracting #2: cost 10 inf + 0 62.501 * * [simplify]: Extracting #3: cost 46 inf + 0 62.501 * * [simplify]: Extracting #4: cost 80 inf + 0 62.502 * * [simplify]: Extracting #5: cost 63 inf + 1504 62.505 * * [simplify]: Extracting #6: cost 22 inf + 9796 62.511 * * [simplify]: Extracting #7: cost 5 inf + 17031 62.517 * * [simplify]: Extracting #8: cost 0 inf + 19888 62.524 * * [simplify]: Extracting #9: cost 0 inf + 19728 62.530 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) 62.530 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) 62.531 * * * * [progress]: [ 75 / 80 ] simplifiying candidate # 62.531 * [simplify]: Simplifying (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 62.531 * * [simplify]: iters left: 6 (23 enodes) 62.541 * * [simplify]: iters left: 5 (87 enodes) 62.562 * * [simplify]: iters left: 4 (144 enodes) 62.590 * * [simplify]: iters left: 3 (245 enodes) 62.659 * * [simplify]: iters left: 2 (290 enodes) 62.716 * * [simplify]: Extracting #0: cost 1 inf + 0 62.716 * * [simplify]: Extracting #1: cost 3 inf + 0 62.716 * * [simplify]: Extracting #2: cost 5 inf + 0 62.716 * * [simplify]: Extracting #3: cost 12 inf + 0 62.716 * * [simplify]: Extracting #4: cost 48 inf + 0 62.716 * * [simplify]: Extracting #5: cost 82 inf + 0 62.716 * * [simplify]: Extracting #6: cost 68 inf + 917 62.717 * * [simplify]: Extracting #7: cost 37 inf + 6545 62.720 * * [simplify]: Extracting #8: cost 6 inf + 17113 62.724 * * [simplify]: Extracting #9: cost 2 inf + 19838 62.727 * * [simplify]: Extracting #10: cost 0 inf + 21576 62.731 * [simplify]: Simplified to (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 62.731 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))))) 62.731 * * * * [progress]: [ 76 / 80 ] simplifiying candidate # 62.731 * [simplify]: Simplifying (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) 62.731 * * [simplify]: iters left: 6 (23 enodes) 62.736 * * [simplify]: iters left: 5 (87 enodes) 62.762 * * [simplify]: iters left: 4 (144 enodes) 62.808 * * [simplify]: iters left: 3 (245 enodes) 62.861 * * [simplify]: iters left: 2 (290 enodes) 62.922 * * [simplify]: Extracting #0: cost 1 inf + 0 62.922 * * [simplify]: Extracting #1: cost 3 inf + 0 62.922 * * [simplify]: Extracting #2: cost 5 inf + 0 62.922 * * [simplify]: Extracting #3: cost 12 inf + 0 62.923 * * [simplify]: Extracting #4: cost 48 inf + 0 62.923 * * [simplify]: Extracting #5: cost 82 inf + 0 62.924 * * [simplify]: Extracting #6: cost 65 inf + 1201 62.926 * * [simplify]: Extracting #7: cost 32 inf + 7557 62.932 * * [simplify]: Extracting #8: cost 6 inf + 17113 62.938 * * [simplify]: Extracting #9: cost 2 inf + 19838 62.945 * * [simplify]: Extracting #10: cost 0 inf + 21576 62.952 * [simplify]: Simplified to (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi1) (sin phi2))))) 62.952 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi1) (sin phi2)))))))) 62.953 * * * * [progress]: [ 77 / 80 ] simplifiying candidate # 62.953 * [simplify]: Simplifying (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 62.953 * * [simplify]: iters left: 6 (23 enodes) 62.963 * * [simplify]: iters left: 5 (87 enodes) 62.979 * * [simplify]: iters left: 4 (144 enodes) 63.031 * * [simplify]: iters left: 3 (245 enodes) 63.081 * * [simplify]: iters left: 2 (290 enodes) 63.147 * * [simplify]: Extracting #0: cost 1 inf + 0 63.147 * * [simplify]: Extracting #1: cost 3 inf + 0 63.147 * * [simplify]: Extracting #2: cost 5 inf + 0 63.147 * * [simplify]: Extracting #3: cost 12 inf + 0 63.147 * * [simplify]: Extracting #4: cost 48 inf + 0 63.147 * * [simplify]: Extracting #5: cost 82 inf + 0 63.147 * * [simplify]: Extracting #6: cost 68 inf + 917 63.148 * * [simplify]: Extracting #7: cost 37 inf + 6545 63.151 * * [simplify]: Extracting #8: cost 6 inf + 17113 63.154 * * [simplify]: Extracting #9: cost 2 inf + 19838 63.158 * * [simplify]: Extracting #10: cost 0 inf + 21576 63.163 * [simplify]: Simplified to (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 63.163 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))))) 63.163 * * * * [progress]: [ 78 / 80 ] simplifiying candidate # 63.164 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 63.164 * * [simplify]: iters left: 6 (24 enodes) 63.175 * * [simplify]: iters left: 5 (91 enodes) 63.189 * * [simplify]: iters left: 4 (148 enodes) 63.223 * * [simplify]: iters left: 3 (248 enodes) 63.287 * * [simplify]: iters left: 2 (295 enodes) 63.335 * * [simplify]: Extracting #0: cost 1 inf + 0 63.335 * * [simplify]: Extracting #1: cost 4 inf + 0 63.335 * * [simplify]: Extracting #2: cost 5 inf + 1 63.335 * * [simplify]: Extracting #3: cost 12 inf + 1 63.335 * * [simplify]: Extracting #4: cost 48 inf + 1 63.335 * * [simplify]: Extracting #5: cost 82 inf + 1 63.336 * * [simplify]: Extracting #6: cost 71 inf + 634 63.337 * * [simplify]: Extracting #7: cost 31 inf + 8806 63.340 * * [simplify]: Extracting #8: cost 5 inf + 18631 63.343 * * [simplify]: Extracting #9: cost 1 inf + 20704 63.347 * * [simplify]: Extracting #10: cost 0 inf + 21559 63.351 * * [simplify]: Extracting #11: cost 0 inf + 21519 63.354 * [simplify]: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 63.354 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 63.354 * * * * [progress]: [ 79 / 80 ] simplifiying candidate # 63.355 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 63.355 * * [simplify]: iters left: 6 (24 enodes) 63.360 * * [simplify]: iters left: 5 (91 enodes) 63.375 * * [simplify]: iters left: 4 (148 enodes) 63.426 * * [simplify]: iters left: 3 (248 enodes) 63.508 * * [simplify]: iters left: 2 (292 enodes) 63.563 * * [simplify]: Extracting #0: cost 1 inf + 0 63.563 * * [simplify]: Extracting #1: cost 4 inf + 0 63.563 * * [simplify]: Extracting #2: cost 5 inf + 1 63.564 * * [simplify]: Extracting #3: cost 12 inf + 1 63.564 * * [simplify]: Extracting #4: cost 48 inf + 1 63.564 * * [simplify]: Extracting #5: cost 82 inf + 1 63.564 * * [simplify]: Extracting #6: cost 61 inf + 2052 63.566 * * [simplify]: Extracting #7: cost 23 inf + 9919 63.569 * * [simplify]: Extracting #8: cost 4 inf + 18021 63.572 * * [simplify]: Extracting #9: cost 1 inf + 20624 63.576 * * [simplify]: Extracting #10: cost 0 inf + 21519 63.580 * [simplify]: Simplified to (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R) 63.580 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R)) 63.580 * * * * [progress]: [ 80 / 80 ] simplifiying candidate # 63.580 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 63.581 * * [simplify]: iters left: 6 (24 enodes) 63.586 * * [simplify]: iters left: 5 (91 enodes) 63.599 * * [simplify]: iters left: 4 (148 enodes) 63.627 * * [simplify]: iters left: 3 (248 enodes) 63.696 * * [simplify]: iters left: 2 (295 enodes) 63.784 * * [simplify]: Extracting #0: cost 1 inf + 0 63.784 * * [simplify]: Extracting #1: cost 4 inf + 0 63.785 * * [simplify]: Extracting #2: cost 5 inf + 1 63.785 * * [simplify]: Extracting #3: cost 12 inf + 1 63.785 * * [simplify]: Extracting #4: cost 48 inf + 1 63.785 * * [simplify]: Extracting #5: cost 82 inf + 1 63.786 * * [simplify]: Extracting #6: cost 71 inf + 634 63.788 * * [simplify]: Extracting #7: cost 31 inf + 8806 63.791 * * [simplify]: Extracting #8: cost 5 inf + 18631 63.795 * * [simplify]: Extracting #9: cost 1 inf + 20704 63.799 * * [simplify]: Extracting #10: cost 0 inf + 21559 63.802 * * [simplify]: Extracting #11: cost 0 inf + 21519 63.806 * [simplify]: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 63.806 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 63.806 * * * [progress]: adding candidates to table 66.090 * [progress]: [Phase 3 of 3] Extracting. 66.090 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # #real (real->posit16 (* (sin lambda1) (sin lambda2))))) (cos phi2)))))))> # # #) 66.103 * * * [regime-changes]: Trying 5 branch expressions: (R lambda2 lambda1 phi2 phi1) 66.103 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # #real (real->posit16 (* (sin lambda1) (sin lambda2))))) (cos phi2)))))))> # # #) 66.339 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # #real (real->posit16 (* (sin lambda1) (sin lambda2))))) (cos phi2)))))))> # # #) 66.573 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # #real (real->posit16 (* (sin lambda1) (sin lambda2))))) (cos phi2)))))))> # # #) 66.808 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # #real (real->posit16 (* (sin lambda1) (sin lambda2))))) (cos phi2)))))))> # # #) 67.039 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # #real (real->posit16 (* (sin lambda1) (sin lambda2))))) (cos phi2)))))))> # # #) 67.285 * * * [regime]: Found split indices: #