0.002 * [progress]: [Phase 1 of 3] Setting up.
0.004 * * * [progress]: [1/2] Preparing points
1.553 * * * [progress]: [2/2] Setting up program.
1.560 * [progress]: [Phase 2 of 3] Improving.
1.560 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.563 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)
1.565 * * [simplify]: iters left: 6 (17 enodes)
1.571 * * [simplify]: iters left: 5 (60 enodes)
1.610 * * [simplify]: iters left: 4 (71 enodes)
1.621 * * [simplify]: iters left: 3 (76 enodes)
1.630 * * [simplify]: Extracting #0: cost 1 inf + 0
1.630 * * [simplify]: Extracting #1: cost 4 inf + 0
1.631 * * [simplify]: Extracting #2: cost 5 inf + 1
1.631 * * [simplify]: Extracting #3: cost 8 inf + 1
1.631 * * [simplify]: Extracting #4: cost 18 inf + 1
1.631 * * [simplify]: Extracting #5: cost 29 inf + 1
1.631 * * [simplify]: Extracting #6: cost 25 inf + 369
1.631 * * [simplify]: Extracting #7: cost 19 inf + 979
1.632 * * [simplify]: Extracting #8: cost 9 inf + 2522
1.632 * * [simplify]: Extracting #9: cost 0 inf + 6397
1.633 * [simplify]: Simplified to (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))
1.633 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))
1.641 * * [progress]: iteration 1 / 4
1.641 * * * [progress]: picking best candidate
1.646 * * * * [pick]: Picked  #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.646 * * * [progress]: localizing error
1.698 * * * [progress]: generating rewritten candidates
1.699 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2)
1.708 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
1.710 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
1.715 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2)
1.741 * * * [progress]: generating series expansions
1.741 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2)
1.744 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2))
1.744 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0
1.745 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2
1.745 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2
1.745 * [taylor]: Taking taylor expansion of lambda1 in lambda2
1.745 * [backup-simplify]: Simplify lambda1 into lambda1
1.745 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.745 * [backup-simplify]: Simplify 0 into 0
1.745 * [backup-simplify]: Simplify 1 into 1
1.746 * [backup-simplify]: Simplify (- 0) into 0
1.746 * [backup-simplify]: Simplify (+ lambda1 0) into lambda1
1.746 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1)
1.746 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1)
1.746 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1
1.746 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1
1.746 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.746 * [backup-simplify]: Simplify 0 into 0
1.746 * [backup-simplify]: Simplify 1 into 1
1.746 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.746 * [backup-simplify]: Simplify lambda2 into lambda2
1.746 * [backup-simplify]: Simplify (- lambda2) into (- lambda2)
1.746 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2)
1.746 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2))
1.746 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2))
1.746 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1
1.746 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1
1.746 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.746 * [backup-simplify]: Simplify 0 into 0
1.746 * [backup-simplify]: Simplify 1 into 1
1.746 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.746 * [backup-simplify]: Simplify lambda2 into lambda2
1.746 * [backup-simplify]: Simplify (- lambda2) into (- lambda2)
1.746 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2)
1.746 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2))
1.747 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2))
1.748 * [backup-simplify]: Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2))
1.749 * [backup-simplify]: Simplify (* (sin (- lambda2)) 0) into 0
1.749 * [backup-simplify]: Simplify (- 0) into 0
1.749 * [backup-simplify]: Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2))
1.749 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2
1.749 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2
1.749 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.749 * [backup-simplify]: Simplify 0 into 0
1.749 * [backup-simplify]: Simplify 1 into 1
1.749 * [backup-simplify]: Simplify (- 0) into 0
1.750 * [backup-simplify]: Simplify (- 1) into -1
1.750 * [backup-simplify]: Simplify 1 into 1
1.750 * [backup-simplify]: Simplify (+ 0) into 0
1.751 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (* 0 1)) into 0
1.751 * [backup-simplify]: Simplify (- 0) into 0
1.752 * [backup-simplify]: Simplify (+ 1 0) into 1
1.752 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
1.752 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 1) (* 0 0)) into (sin (- lambda2))
1.752 * [backup-simplify]: Simplify (- (sin (- lambda2))) into (- (sin (- lambda2)))
1.752 * [backup-simplify]: Simplify (+ 0 (- (sin (- lambda2)))) into (- (sin (- lambda2)))
1.752 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2
1.753 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2
1.753 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2
1.753 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.753 * [backup-simplify]: Simplify 0 into 0
1.753 * [backup-simplify]: Simplify 1 into 1
1.753 * [backup-simplify]: Simplify (- 0) into 0
1.753 * [backup-simplify]: Simplify (- 1) into -1
1.753 * [backup-simplify]: Simplify (- 0) into 0
1.753 * [backup-simplify]: Simplify 0 into 0
1.754 * [backup-simplify]: Simplify (+ 0) into 0
1.754 * [backup-simplify]: Simplify 0 into 0
1.754 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
1.755 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (- lambda2))))
1.755 * [backup-simplify]: Simplify (- 0) into 0
1.756 * [backup-simplify]: Simplify (+ 0 0) into 0
1.756 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.757 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 1) (* 0 0))) into 0
1.757 * [backup-simplify]: Simplify (- 0) into 0
1.757 * [backup-simplify]: Simplify (+ (- (* 1/2 (cos (- lambda2)))) 0) into (- (* 1/2 (cos (- lambda2))))
1.757 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2
1.757 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2
1.757 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.757 * [backup-simplify]: Simplify 1/2 into 1/2
1.757 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2
1.757 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2
1.757 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.757 * [backup-simplify]: Simplify 0 into 0
1.757 * [backup-simplify]: Simplify 1 into 1
1.758 * [backup-simplify]: Simplify (- 0) into 0
1.758 * [backup-simplify]: Simplify (- 1) into -1
1.758 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.759 * [backup-simplify]: Simplify (- 1/2) into -1/2
1.759 * [backup-simplify]: Simplify -1/2 into -1/2
1.759 * [backup-simplify]: Simplify (- 1) into -1
1.760 * [backup-simplify]: Simplify (+ (* 1 (/ (pow -1 1) 1))) into -1
1.760 * [backup-simplify]: Simplify (- -1) into 1
1.760 * [backup-simplify]: Simplify 1 into 1
1.760 * [backup-simplify]: Simplify (+ (* 1 (* lambda2 lambda1)) (+ (* -1/2 (pow (* 1 lambda1) 2)) 1)) into (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2)))
1.761 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
1.761 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0
1.761 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2
1.761 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
1.761 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
1.761 * [taylor]: Taking taylor expansion of lambda1 in lambda2
1.761 * [backup-simplify]: Simplify lambda1 into lambda1
1.761 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
1.761 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
1.761 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.761 * [backup-simplify]: Simplify 0 into 0
1.761 * [backup-simplify]: Simplify 1 into 1
1.761 * [backup-simplify]: Simplify (/ 1 1) into 1
1.762 * [backup-simplify]: Simplify (- 1) into -1
1.762 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.762 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
1.762 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1
1.762 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
1.762 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
1.762 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.762 * [backup-simplify]: Simplify 0 into 0
1.762 * [backup-simplify]: Simplify 1 into 1
1.763 * [backup-simplify]: Simplify (/ 1 1) into 1
1.763 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
1.763 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.763 * [backup-simplify]: Simplify lambda2 into lambda2
1.763 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
1.763 * [backup-simplify]: Simplify (+ 1 0) into 1
1.763 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
1.763 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1
1.763 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
1.763 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
1.763 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.763 * [backup-simplify]: Simplify 0 into 0
1.763 * [backup-simplify]: Simplify 1 into 1
1.763 * [backup-simplify]: Simplify (/ 1 1) into 1
1.763 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
1.763 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.763 * [backup-simplify]: Simplify lambda2 into lambda2
1.763 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
1.764 * [backup-simplify]: Simplify (+ 1 0) into 1
1.764 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
1.764 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2
1.764 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
1.764 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
1.764 * [taylor]: Taking taylor expansion of lambda1 in lambda2
1.764 * [backup-simplify]: Simplify lambda1 into lambda1
1.764 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
1.764 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
1.764 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.764 * [backup-simplify]: Simplify 0 into 0
1.764 * [backup-simplify]: Simplify 1 into 1
1.771 * [backup-simplify]: Simplify (/ 1 1) into 1
1.771 * [backup-simplify]: Simplify (- 1) into -1
1.772 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.772 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
1.772 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
1.772 * [taylor]: Taking taylor expansion of 0 in lambda2
1.772 * [backup-simplify]: Simplify 0 into 0
1.772 * [backup-simplify]: Simplify 0 into 0
1.772 * [backup-simplify]: Simplify 0 into 0
1.772 * [taylor]: Taking taylor expansion of 0 in lambda2
1.772 * [backup-simplify]: Simplify 0 into 0
1.772 * [backup-simplify]: Simplify 0 into 0
1.772 * [backup-simplify]: Simplify 0 into 0
1.772 * [backup-simplify]: Simplify 0 into 0
1.772 * [taylor]: Taking taylor expansion of 0 in lambda2
1.772 * [backup-simplify]: Simplify 0 into 0
1.772 * [backup-simplify]: Simplify 0 into 0
1.772 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) into (cos (- lambda1 lambda2))
1.772 * [backup-simplify]: Simplify (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
1.772 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0
1.772 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2
1.772 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2
1.773 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
1.773 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.773 * [backup-simplify]: Simplify 0 into 0
1.773 * [backup-simplify]: Simplify 1 into 1
1.773 * [backup-simplify]: Simplify (/ 1 1) into 1
1.773 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
1.773 * [taylor]: Taking taylor expansion of lambda1 in lambda2
1.773 * [backup-simplify]: Simplify lambda1 into lambda1
1.773 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
1.773 * [backup-simplify]: Simplify (+ 1 0) into 1
1.773 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
1.773 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1
1.773 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1
1.773 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
1.773 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.773 * [backup-simplify]: Simplify lambda2 into lambda2
1.773 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
1.773 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
1.773 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.773 * [backup-simplify]: Simplify 0 into 0
1.773 * [backup-simplify]: Simplify 1 into 1
1.774 * [backup-simplify]: Simplify (/ 1 1) into 1
1.774 * [backup-simplify]: Simplify (- 1) into -1
1.774 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.774 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
1.774 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1
1.774 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1
1.774 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
1.774 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.774 * [backup-simplify]: Simplify lambda2 into lambda2
1.774 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
1.774 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
1.774 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.774 * [backup-simplify]: Simplify 0 into 0
1.774 * [backup-simplify]: Simplify 1 into 1
1.775 * [backup-simplify]: Simplify (/ 1 1) into 1
1.775 * [backup-simplify]: Simplify (- 1) into -1
1.775 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.775 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
1.775 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2
1.775 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2
1.775 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
1.775 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.775 * [backup-simplify]: Simplify 0 into 0
1.775 * [backup-simplify]: Simplify 1 into 1
1.776 * [backup-simplify]: Simplify (/ 1 1) into 1
1.776 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
1.776 * [taylor]: Taking taylor expansion of lambda1 in lambda2
1.776 * [backup-simplify]: Simplify lambda1 into lambda1
1.776 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
1.776 * [backup-simplify]: Simplify (+ 1 0) into 1
1.776 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
1.776 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
1.776 * [taylor]: Taking taylor expansion of 0 in lambda2
1.776 * [backup-simplify]: Simplify 0 into 0
1.776 * [backup-simplify]: Simplify 0 into 0
1.776 * [backup-simplify]: Simplify 0 into 0
1.776 * [taylor]: Taking taylor expansion of 0 in lambda2
1.776 * [backup-simplify]: Simplify 0 into 0
1.776 * [backup-simplify]: Simplify 0 into 0
1.776 * [backup-simplify]: Simplify 0 into 0
1.776 * [backup-simplify]: Simplify 0 into 0
1.776 * [taylor]: Taking taylor expansion of 0 in lambda2
1.776 * [backup-simplify]: Simplify 0 into 0
1.776 * [backup-simplify]: Simplify 0 into 0
1.777 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))) into (cos (- lambda1 lambda2))
1.777 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
1.777 * [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))))
1.777 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in (phi1 phi2 lambda1 lambda2) around 0
1.777 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2
1.778 * [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))))
1.778 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1
1.778 * [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))))
1.779 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2
1.779 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.779 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1
1.779 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.779 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1
1.779 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.779 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2
1.779 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.779 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1
1.779 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.779 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2
1.780 * [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))))
1.780 * [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))))
1.780 * [taylor]: Taking taylor expansion of 0 in phi2
1.780 * [backup-simplify]: Simplify 0 into 0
1.780 * [taylor]: Taking taylor expansion of 0 in lambda1
1.780 * [backup-simplify]: Simplify 0 into 0
1.780 * [taylor]: Taking taylor expansion of 0 in lambda2
1.780 * [backup-simplify]: Simplify 0 into 0
1.780 * [backup-simplify]: Simplify 0 into 0
1.780 * [taylor]: Taking taylor expansion of 0 in lambda1
1.780 * [backup-simplify]: Simplify 0 into 0
1.780 * [taylor]: Taking taylor expansion of 0 in lambda2
1.780 * [backup-simplify]: Simplify 0 into 0
1.780 * [backup-simplify]: Simplify 0 into 0
1.780 * [taylor]: Taking taylor expansion of 0 in lambda2
1.780 * [backup-simplify]: Simplify 0 into 0
1.780 * [backup-simplify]: Simplify 0 into 0
1.780 * [backup-simplify]: Simplify 0 into 0
1.780 * [taylor]: Taking taylor expansion of 0 in phi2
1.780 * [backup-simplify]: Simplify 0 into 0
1.780 * [taylor]: Taking taylor expansion of 0 in lambda1
1.780 * [backup-simplify]: Simplify 0 into 0
1.780 * [taylor]: Taking taylor expansion of 0 in lambda2
1.780 * [backup-simplify]: Simplify 0 into 0
1.780 * [backup-simplify]: Simplify 0 into 0
1.780 * [taylor]: Taking taylor expansion of 0 in lambda1
1.780 * [backup-simplify]: Simplify 0 into 0
1.780 * [taylor]: Taking taylor expansion of 0 in lambda2
1.780 * [backup-simplify]: Simplify 0 into 0
1.780 * [backup-simplify]: Simplify 0 into 0
1.780 * [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))))
1.781 * [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))))))
1.781 * [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
1.781 * [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
1.781 * [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))))))
1.781 * [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
1.781 * [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))))))
1.781 * [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
1.781 * [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))))))
1.781 * [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
1.782 * [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))))))
1.782 * [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
1.782 * [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))))))
1.782 * [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
1.782 * [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))))))
1.782 * [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
1.782 * [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))))))
1.782 * [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
1.783 * [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))))))
1.783 * [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))))))
1.783 * [taylor]: Taking taylor expansion of 0 in phi2
1.783 * [backup-simplify]: Simplify 0 into 0
1.783 * [taylor]: Taking taylor expansion of 0 in lambda1
1.783 * [backup-simplify]: Simplify 0 into 0
1.783 * [taylor]: Taking taylor expansion of 0 in lambda2
1.783 * [backup-simplify]: Simplify 0 into 0
1.783 * [backup-simplify]: Simplify 0 into 0
1.783 * [taylor]: Taking taylor expansion of 0 in lambda1
1.783 * [backup-simplify]: Simplify 0 into 0
1.783 * [taylor]: Taking taylor expansion of 0 in lambda2
1.783 * [backup-simplify]: Simplify 0 into 0
1.783 * [backup-simplify]: Simplify 0 into 0
1.783 * [taylor]: Taking taylor expansion of 0 in lambda2
1.783 * [backup-simplify]: Simplify 0 into 0
1.783 * [backup-simplify]: Simplify 0 into 0
1.783 * [backup-simplify]: Simplify 0 into 0
1.783 * [taylor]: Taking taylor expansion of 0 in phi2
1.783 * [backup-simplify]: Simplify 0 into 0
1.783 * [taylor]: Taking taylor expansion of 0 in lambda1
1.783 * [backup-simplify]: Simplify 0 into 0
1.783 * [taylor]: Taking taylor expansion of 0 in lambda2
1.783 * [backup-simplify]: Simplify 0 into 0
1.783 * [backup-simplify]: Simplify 0 into 0
1.783 * [taylor]: Taking taylor expansion of 0 in lambda1
1.783 * [backup-simplify]: Simplify 0 into 0
1.783 * [taylor]: Taking taylor expansion of 0 in lambda2
1.783 * [backup-simplify]: Simplify 0 into 0
1.783 * [backup-simplify]: Simplify 0 into 0
1.784 * [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))))
1.784 * [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)))))))
1.784 * [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
1.784 * [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
1.784 * [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)))))))
1.784 * [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
1.784 * [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)))))))
1.784 * [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
1.785 * [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)))))))
1.785 * [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
1.785 * [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)))))))
1.785 * [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
1.785 * [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)))))))
1.785 * [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
1.785 * [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)))))))
1.786 * [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
1.786 * [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)))))))
1.786 * [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
1.786 * [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)))))))
1.786 * [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)))))))
1.786 * [taylor]: Taking taylor expansion of 0 in phi2
1.786 * [backup-simplify]: Simplify 0 into 0
1.786 * [taylor]: Taking taylor expansion of 0 in lambda1
1.786 * [backup-simplify]: Simplify 0 into 0
1.786 * [taylor]: Taking taylor expansion of 0 in lambda2
1.786 * [backup-simplify]: Simplify 0 into 0
1.786 * [backup-simplify]: Simplify 0 into 0
1.786 * [taylor]: Taking taylor expansion of 0 in lambda1
1.786 * [backup-simplify]: Simplify 0 into 0
1.786 * [taylor]: Taking taylor expansion of 0 in lambda2
1.786 * [backup-simplify]: Simplify 0 into 0
1.786 * [backup-simplify]: Simplify 0 into 0
1.786 * [taylor]: Taking taylor expansion of 0 in lambda2
1.786 * [backup-simplify]: Simplify 0 into 0
1.786 * [backup-simplify]: Simplify 0 into 0
1.787 * [backup-simplify]: Simplify 0 into 0
1.787 * [taylor]: Taking taylor expansion of 0 in phi2
1.787 * [backup-simplify]: Simplify 0 into 0
1.787 * [taylor]: Taking taylor expansion of 0 in lambda1
1.787 * [backup-simplify]: Simplify 0 into 0
1.787 * [taylor]: Taking taylor expansion of 0 in lambda2
1.787 * [backup-simplify]: Simplify 0 into 0
1.787 * [backup-simplify]: Simplify 0 into 0
1.787 * [taylor]: Taking taylor expansion of 0 in lambda1
1.787 * [backup-simplify]: Simplify 0 into 0
1.787 * [taylor]: Taking taylor expansion of 0 in lambda2
1.787 * [backup-simplify]: Simplify 0 into 0
1.787 * [backup-simplify]: Simplify 0 into 0
1.787 * [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))))
1.787 * * * * [progress]: [ 3 / 4 ] generating series at (2)
1.787 * [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)
1.787 * [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
1.787 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in R
1.787 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in R
1.788 * [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))))
1.788 * [taylor]: Taking taylor expansion of R in R
1.788 * [backup-simplify]: Simplify 0 into 0
1.788 * [backup-simplify]: Simplify 1 into 1
1.788 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda2
1.788 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2
1.788 * [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))))
1.788 * [taylor]: Taking taylor expansion of R in lambda2
1.788 * [backup-simplify]: Simplify R into R
1.788 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda1
1.788 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1
1.788 * [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))))
1.788 * [taylor]: Taking taylor expansion of R in lambda1
1.788 * [backup-simplify]: Simplify R into R
1.788 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi2
1.788 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2
1.788 * [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))))
1.788 * [taylor]: Taking taylor expansion of R in phi2
1.788 * [backup-simplify]: Simplify R into R
1.788 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi1
1.788 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1
1.788 * [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))))
1.788 * [taylor]: Taking taylor expansion of R in phi1
1.788 * [backup-simplify]: Simplify R into R
1.788 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi1
1.788 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1
1.789 * [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))))
1.789 * [taylor]: Taking taylor expansion of R in phi1
1.789 * [backup-simplify]: Simplify R into R
1.789 * [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)
1.789 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi2
1.789 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2
1.789 * [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))))
1.789 * [taylor]: Taking taylor expansion of R in phi2
1.789 * [backup-simplify]: Simplify R into R
1.789 * [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)
1.789 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda1
1.789 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1
1.789 * [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))))
1.789 * [taylor]: Taking taylor expansion of R in lambda1
1.789 * [backup-simplify]: Simplify R into R
1.790 * [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)
1.790 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda2
1.790 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2
1.790 * [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))))
1.790 * [taylor]: Taking taylor expansion of R in lambda2
1.790 * [backup-simplify]: Simplify R into R
1.790 * [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)
1.790 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in R
1.790 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in R
1.790 * [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))))
1.790 * [taylor]: Taking taylor expansion of R in R
1.790 * [backup-simplify]: Simplify 0 into 0
1.790 * [backup-simplify]: Simplify 1 into 1
1.790 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) into 0
1.790 * [backup-simplify]: Simplify 0 into 0
1.790 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0
1.791 * [taylor]: Taking taylor expansion of 0 in phi2
1.791 * [backup-simplify]: Simplify 0 into 0
1.791 * [taylor]: Taking taylor expansion of 0 in lambda1
1.791 * [backup-simplify]: Simplify 0 into 0
1.791 * [taylor]: Taking taylor expansion of 0 in lambda2
1.791 * [backup-simplify]: Simplify 0 into 0
1.791 * [taylor]: Taking taylor expansion of 0 in R
1.791 * [backup-simplify]: Simplify 0 into 0
1.791 * [backup-simplify]: Simplify 0 into 0
1.791 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0
1.791 * [taylor]: Taking taylor expansion of 0 in lambda1
1.791 * [backup-simplify]: Simplify 0 into 0
1.791 * [taylor]: Taking taylor expansion of 0 in lambda2
1.791 * [backup-simplify]: Simplify 0 into 0
1.791 * [taylor]: Taking taylor expansion of 0 in R
1.791 * [backup-simplify]: Simplify 0 into 0
1.791 * [backup-simplify]: Simplify 0 into 0
1.791 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0
1.791 * [taylor]: Taking taylor expansion of 0 in lambda2
1.791 * [backup-simplify]: Simplify 0 into 0
1.791 * [taylor]: Taking taylor expansion of 0 in R
1.791 * [backup-simplify]: Simplify 0 into 0
1.791 * [backup-simplify]: Simplify 0 into 0
1.792 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0
1.792 * [taylor]: Taking taylor expansion of 0 in R
1.792 * [backup-simplify]: Simplify 0 into 0
1.792 * [backup-simplify]: Simplify 0 into 0
1.792 * [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))))
1.793 * [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))))
1.794 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0
1.794 * [taylor]: Taking taylor expansion of 0 in phi2
1.794 * [backup-simplify]: Simplify 0 into 0
1.794 * [taylor]: Taking taylor expansion of 0 in lambda1
1.794 * [backup-simplify]: Simplify 0 into 0
1.794 * [taylor]: Taking taylor expansion of 0 in lambda2
1.794 * [backup-simplify]: Simplify 0 into 0
1.794 * [taylor]: Taking taylor expansion of 0 in R
1.794 * [backup-simplify]: Simplify 0 into 0
1.794 * [backup-simplify]: Simplify 0 into 0
1.794 * [taylor]: Taking taylor expansion of 0 in lambda1
1.794 * [backup-simplify]: Simplify 0 into 0
1.794 * [taylor]: Taking taylor expansion of 0 in lambda2
1.794 * [backup-simplify]: Simplify 0 into 0
1.794 * [taylor]: Taking taylor expansion of 0 in R
1.794 * [backup-simplify]: Simplify 0 into 0
1.794 * [backup-simplify]: Simplify 0 into 0
1.795 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0
1.795 * [taylor]: Taking taylor expansion of 0 in lambda1
1.795 * [backup-simplify]: Simplify 0 into 0
1.795 * [taylor]: Taking taylor expansion of 0 in lambda2
1.795 * [backup-simplify]: Simplify 0 into 0
1.795 * [taylor]: Taking taylor expansion of 0 in R
1.795 * [backup-simplify]: Simplify 0 into 0
1.795 * [backup-simplify]: Simplify 0 into 0
1.795 * [taylor]: Taking taylor expansion of 0 in lambda2
1.795 * [backup-simplify]: Simplify 0 into 0
1.795 * [taylor]: Taking taylor expansion of 0 in R
1.795 * [backup-simplify]: Simplify 0 into 0
1.795 * [backup-simplify]: Simplify 0 into 0
1.795 * [taylor]: Taking taylor expansion of 0 in lambda2
1.795 * [backup-simplify]: Simplify 0 into 0
1.796 * [taylor]: Taking taylor expansion of 0 in R
1.796 * [backup-simplify]: Simplify 0 into 0
1.796 * [backup-simplify]: Simplify 0 into 0
1.796 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0
1.796 * [taylor]: Taking taylor expansion of 0 in lambda2
1.796 * [backup-simplify]: Simplify 0 into 0
1.797 * [taylor]: Taking taylor expansion of 0 in R
1.797 * [backup-simplify]: Simplify 0 into 0
1.797 * [backup-simplify]: Simplify 0 into 0
1.797 * [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)
1.798 * [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)
1.798 * [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
1.798 * [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
1.798 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in R
1.798 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.799 * [taylor]: Taking taylor expansion of R in R
1.799 * [backup-simplify]: Simplify 0 into 0
1.799 * [backup-simplify]: Simplify 1 into 1
1.799 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.799 * [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
1.799 * [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
1.800 * [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))))))
1.800 * [taylor]: Taking taylor expansion of R in lambda2
1.800 * [backup-simplify]: Simplify R into R
1.800 * [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)
1.800 * [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
1.800 * [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
1.801 * [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))))))
1.801 * [taylor]: Taking taylor expansion of R in lambda1
1.801 * [backup-simplify]: Simplify R into R
1.801 * [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)
1.801 * [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
1.801 * [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
1.802 * [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))))))
1.802 * [taylor]: Taking taylor expansion of R in phi2
1.802 * [backup-simplify]: Simplify R into R
1.802 * [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)
1.802 * [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
1.802 * [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
1.803 * [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))))))
1.803 * [taylor]: Taking taylor expansion of R in phi1
1.803 * [backup-simplify]: Simplify R into R
1.803 * [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)
1.803 * [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
1.803 * [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
1.804 * [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))))))
1.804 * [taylor]: Taking taylor expansion of R in phi1
1.804 * [backup-simplify]: Simplify R into R
1.804 * [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)
1.804 * [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
1.804 * [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
1.805 * [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))))))
1.805 * [taylor]: Taking taylor expansion of R in phi2
1.805 * [backup-simplify]: Simplify R into R
1.805 * [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)
1.805 * [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
1.805 * [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
1.806 * [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))))))
1.806 * [taylor]: Taking taylor expansion of R in lambda1
1.806 * [backup-simplify]: Simplify R into R
1.806 * [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)
1.806 * [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
1.806 * [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
1.807 * [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))))))
1.807 * [taylor]: Taking taylor expansion of R in lambda2
1.807 * [backup-simplify]: Simplify R into R
1.807 * [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)
1.807 * [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
1.807 * [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
1.808 * [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))))))
1.808 * [taylor]: Taking taylor expansion of R in R
1.808 * [backup-simplify]: Simplify 0 into 0
1.808 * [backup-simplify]: Simplify 1 into 1
1.808 * [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))))))
1.808 * [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))))))
1.810 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)))) into 0
1.810 * [taylor]: Taking taylor expansion of 0 in phi2
1.810 * [backup-simplify]: Simplify 0 into 0
1.810 * [taylor]: Taking taylor expansion of 0 in lambda1
1.810 * [backup-simplify]: Simplify 0 into 0
1.810 * [taylor]: Taking taylor expansion of 0 in lambda2
1.810 * [backup-simplify]: Simplify 0 into 0
1.810 * [taylor]: Taking taylor expansion of 0 in R
1.810 * [backup-simplify]: Simplify 0 into 0
1.811 * [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
1.811 * [taylor]: Taking taylor expansion of 0 in lambda1
1.811 * [backup-simplify]: Simplify 0 into 0
1.811 * [taylor]: Taking taylor expansion of 0 in lambda2
1.811 * [backup-simplify]: Simplify 0 into 0
1.811 * [taylor]: Taking taylor expansion of 0 in R
1.811 * [backup-simplify]: Simplify 0 into 0
1.811 * [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
1.811 * [taylor]: Taking taylor expansion of 0 in lambda2
1.812 * [backup-simplify]: Simplify 0 into 0
1.812 * [taylor]: Taking taylor expansion of 0 in R
1.812 * [backup-simplify]: Simplify 0 into 0
1.812 * [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
1.812 * [taylor]: Taking taylor expansion of 0 in R
1.812 * [backup-simplify]: Simplify 0 into 0
1.814 * [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
1.814 * [backup-simplify]: Simplify 0 into 0
1.814 * [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
1.814 * [taylor]: Taking taylor expansion of 0 in phi2
1.814 * [backup-simplify]: Simplify 0 into 0
1.814 * [taylor]: Taking taylor expansion of 0 in lambda1
1.814 * [backup-simplify]: Simplify 0 into 0
1.815 * [taylor]: Taking taylor expansion of 0 in lambda2
1.815 * [backup-simplify]: Simplify 0 into 0
1.815 * [taylor]: Taking taylor expansion of 0 in R
1.815 * [backup-simplify]: Simplify 0 into 0
1.815 * [taylor]: Taking taylor expansion of 0 in lambda1
1.815 * [backup-simplify]: Simplify 0 into 0
1.815 * [taylor]: Taking taylor expansion of 0 in lambda2
1.815 * [backup-simplify]: Simplify 0 into 0
1.815 * [taylor]: Taking taylor expansion of 0 in R
1.815 * [backup-simplify]: Simplify 0 into 0
1.815 * [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
1.815 * [taylor]: Taking taylor expansion of 0 in lambda1
1.815 * [backup-simplify]: Simplify 0 into 0
1.815 * [taylor]: Taking taylor expansion of 0 in lambda2
1.815 * [backup-simplify]: Simplify 0 into 0
1.816 * [taylor]: Taking taylor expansion of 0 in R
1.816 * [backup-simplify]: Simplify 0 into 0
1.816 * [taylor]: Taking taylor expansion of 0 in lambda2
1.816 * [backup-simplify]: Simplify 0 into 0
1.816 * [taylor]: Taking taylor expansion of 0 in R
1.816 * [backup-simplify]: Simplify 0 into 0
1.816 * [taylor]: Taking taylor expansion of 0 in lambda2
1.816 * [backup-simplify]: Simplify 0 into 0
1.816 * [taylor]: Taking taylor expansion of 0 in R
1.816 * [backup-simplify]: Simplify 0 into 0
1.816 * [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
1.816 * [taylor]: Taking taylor expansion of 0 in lambda2
1.816 * [backup-simplify]: Simplify 0 into 0
1.817 * [taylor]: Taking taylor expansion of 0 in R
1.817 * [backup-simplify]: Simplify 0 into 0
1.817 * [taylor]: Taking taylor expansion of 0 in R
1.817 * [backup-simplify]: Simplify 0 into 0
1.817 * [taylor]: Taking taylor expansion of 0 in R
1.817 * [backup-simplify]: Simplify 0 into 0
1.817 * [taylor]: Taking taylor expansion of 0 in R
1.817 * [backup-simplify]: Simplify 0 into 0
1.817 * [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
1.817 * [taylor]: Taking taylor expansion of 0 in R
1.817 * [backup-simplify]: Simplify 0 into 0
1.818 * [backup-simplify]: Simplify 0 into 0
1.818 * [backup-simplify]: Simplify 0 into 0
1.818 * [backup-simplify]: Simplify 0 into 0
1.818 * [backup-simplify]: Simplify 0 into 0
1.820 * [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
1.820 * [backup-simplify]: Simplify 0 into 0
1.821 * [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)
1.821 * [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))
1.821 * [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
1.821 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in R
1.822 * [taylor]: Taking taylor expansion of -1 in R
1.822 * [backup-simplify]: Simplify -1 into -1
1.822 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in R
1.822 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in R
1.822 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.822 * [taylor]: Taking taylor expansion of R in R
1.822 * [backup-simplify]: Simplify 0 into 0
1.822 * [backup-simplify]: Simplify 1 into 1
1.823 * [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)))))))
1.823 * [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
1.823 * [taylor]: Taking taylor expansion of -1 in lambda2
1.823 * [backup-simplify]: Simplify -1 into -1
1.823 * [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
1.823 * [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
1.823 * [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)))))))
1.823 * [taylor]: Taking taylor expansion of R in lambda2
1.823 * [backup-simplify]: Simplify R into R
1.824 * [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)
1.824 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda1
1.824 * [taylor]: Taking taylor expansion of -1 in lambda1
1.824 * [backup-simplify]: Simplify -1 into -1
1.824 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda1
1.824 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda1
1.824 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.824 * [taylor]: Taking taylor expansion of R in lambda1
1.824 * [backup-simplify]: Simplify R into R
1.825 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)
1.825 * [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
1.825 * [taylor]: Taking taylor expansion of -1 in phi2
1.825 * [backup-simplify]: Simplify -1 into -1
1.825 * [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
1.825 * [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
1.826 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.826 * [taylor]: Taking taylor expansion of R in phi2
1.826 * [backup-simplify]: Simplify R into R
1.826 * [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)
1.826 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi1
1.826 * [taylor]: Taking taylor expansion of -1 in phi1
1.826 * [backup-simplify]: Simplify -1 into -1
1.826 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi1
1.826 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi1
1.827 * [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)))))))
1.827 * [taylor]: Taking taylor expansion of R in phi1
1.827 * [backup-simplify]: Simplify R into R
1.827 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)
1.827 * [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
1.827 * [taylor]: Taking taylor expansion of -1 in phi1
1.827 * [backup-simplify]: Simplify -1 into -1
1.827 * [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
1.827 * [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
1.828 * [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)))))))
1.828 * [taylor]: Taking taylor expansion of R in phi1
1.828 * [backup-simplify]: Simplify R into R
1.828 * [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)
1.829 * [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))
1.829 * [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
1.829 * [taylor]: Taking taylor expansion of -1 in phi2
1.829 * [backup-simplify]: Simplify -1 into -1
1.829 * [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
1.829 * [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
1.829 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.830 * [taylor]: Taking taylor expansion of R in phi2
1.830 * [backup-simplify]: Simplify R into R
1.830 * [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)
1.830 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))
1.831 * [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
1.831 * [taylor]: Taking taylor expansion of -1 in lambda1
1.831 * [backup-simplify]: Simplify -1 into -1
1.831 * [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
1.831 * [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
1.831 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.831 * [taylor]: Taking taylor expansion of R in lambda1
1.831 * [backup-simplify]: Simplify R into R
1.832 * [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)
1.832 * [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))
1.832 * [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
1.832 * [taylor]: Taking taylor expansion of -1 in lambda2
1.832 * [backup-simplify]: Simplify -1 into -1
1.832 * [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
1.832 * [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
1.833 * [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)))))))
1.833 * [taylor]: Taking taylor expansion of R in lambda2
1.833 * [backup-simplify]: Simplify R into R
1.833 * [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)
1.834 * [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))
1.834 * [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
1.834 * [taylor]: Taking taylor expansion of -1 in R
1.834 * [backup-simplify]: Simplify -1 into -1
1.834 * [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
1.834 * [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
1.834 * [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)))))))
1.834 * [taylor]: Taking taylor expansion of R in R
1.834 * [backup-simplify]: Simplify 0 into 0
1.834 * [backup-simplify]: Simplify 1 into 1
1.835 * [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)))))))
1.835 * [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))))))))
1.836 * [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))))))))
1.836 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0
1.837 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0
1.837 * [taylor]: Taking taylor expansion of 0 in phi2
1.837 * [backup-simplify]: Simplify 0 into 0
1.838 * [taylor]: Taking taylor expansion of 0 in lambda1
1.838 * [backup-simplify]: Simplify 0 into 0
1.838 * [taylor]: Taking taylor expansion of 0 in lambda2
1.838 * [backup-simplify]: Simplify 0 into 0
1.838 * [taylor]: Taking taylor expansion of 0 in R
1.838 * [backup-simplify]: Simplify 0 into 0
1.838 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0
1.839 * [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
1.839 * [taylor]: Taking taylor expansion of 0 in lambda1
1.839 * [backup-simplify]: Simplify 0 into 0
1.839 * [taylor]: Taking taylor expansion of 0 in lambda2
1.839 * [backup-simplify]: Simplify 0 into 0
1.839 * [taylor]: Taking taylor expansion of 0 in R
1.839 * [backup-simplify]: Simplify 0 into 0
1.840 * [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
1.841 * [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
1.841 * [taylor]: Taking taylor expansion of 0 in lambda2
1.841 * [backup-simplify]: Simplify 0 into 0
1.841 * [taylor]: Taking taylor expansion of 0 in R
1.841 * [backup-simplify]: Simplify 0 into 0
1.842 * [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
1.843 * [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
1.843 * [taylor]: Taking taylor expansion of 0 in R
1.843 * [backup-simplify]: Simplify 0 into 0
1.844 * [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
1.845 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))))) into 0
1.845 * [backup-simplify]: Simplify 0 into 0
1.846 * [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
1.847 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0
1.847 * [taylor]: Taking taylor expansion of 0 in phi2
1.847 * [backup-simplify]: Simplify 0 into 0
1.847 * [taylor]: Taking taylor expansion of 0 in lambda1
1.847 * [backup-simplify]: Simplify 0 into 0
1.847 * [taylor]: Taking taylor expansion of 0 in lambda2
1.847 * [backup-simplify]: Simplify 0 into 0
1.847 * [taylor]: Taking taylor expansion of 0 in R
1.847 * [backup-simplify]: Simplify 0 into 0
1.848 * [taylor]: Taking taylor expansion of 0 in lambda1
1.848 * [backup-simplify]: Simplify 0 into 0
1.848 * [taylor]: Taking taylor expansion of 0 in lambda2
1.848 * [backup-simplify]: Simplify 0 into 0
1.848 * [taylor]: Taking taylor expansion of 0 in R
1.848 * [backup-simplify]: Simplify 0 into 0
1.848 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
1.850 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0
1.850 * [taylor]: Taking taylor expansion of 0 in lambda1
1.850 * [backup-simplify]: Simplify 0 into 0
1.850 * [taylor]: Taking taylor expansion of 0 in lambda2
1.850 * [backup-simplify]: Simplify 0 into 0
1.850 * [taylor]: Taking taylor expansion of 0 in R
1.850 * [backup-simplify]: Simplify 0 into 0
1.850 * [taylor]: Taking taylor expansion of 0 in lambda2
1.850 * [backup-simplify]: Simplify 0 into 0
1.850 * [taylor]: Taking taylor expansion of 0 in R
1.850 * [backup-simplify]: Simplify 0 into 0
1.850 * [taylor]: Taking taylor expansion of 0 in lambda2
1.850 * [backup-simplify]: Simplify 0 into 0
1.850 * [taylor]: Taking taylor expansion of 0 in R
1.850 * [backup-simplify]: Simplify 0 into 0
1.851 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
1.852 * [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
1.852 * [taylor]: Taking taylor expansion of 0 in lambda2
1.852 * [backup-simplify]: Simplify 0 into 0
1.852 * [taylor]: Taking taylor expansion of 0 in R
1.852 * [backup-simplify]: Simplify 0 into 0
1.852 * [taylor]: Taking taylor expansion of 0 in R
1.852 * [backup-simplify]: Simplify 0 into 0
1.852 * [taylor]: Taking taylor expansion of 0 in R
1.852 * [backup-simplify]: Simplify 0 into 0
1.852 * [taylor]: Taking taylor expansion of 0 in R
1.852 * [backup-simplify]: Simplify 0 into 0
1.853 * [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
1.854 * [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
1.854 * [taylor]: Taking taylor expansion of 0 in R
1.854 * [backup-simplify]: Simplify 0 into 0
1.854 * [backup-simplify]: Simplify 0 into 0
1.854 * [backup-simplify]: Simplify 0 into 0
1.855 * [backup-simplify]: Simplify 0 into 0
1.855 * [backup-simplify]: Simplify 0 into 0
1.856 * [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
1.858 * [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
1.858 * [backup-simplify]: Simplify 0 into 0
1.859 * [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)
1.859 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2)
1.859 * [backup-simplify]: Simplify (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) into (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))
1.859 * [approximate]: Taking taylor expansion of (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in (phi1 phi2 lambda1 lambda2) around 0
1.860 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda2
1.860 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2
1.860 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.860 * [backup-simplify]: Simplify phi1 into phi1
1.860 * [backup-simplify]: Simplify (cos phi1) into (cos phi1)
1.860 * [backup-simplify]: Simplify (sin phi1) into (sin phi1)
1.860 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in lambda2
1.860 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2
1.860 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2
1.860 * [taylor]: Taking taylor expansion of lambda1 in lambda2
1.860 * [backup-simplify]: Simplify lambda1 into lambda1
1.860 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.860 * [backup-simplify]: Simplify 0 into 0
1.860 * [backup-simplify]: Simplify 1 into 1
1.860 * [backup-simplify]: Simplify (- 0) into 0
1.860 * [backup-simplify]: Simplify (+ lambda1 0) into lambda1
1.860 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1)
1.861 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1)
1.861 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2
1.861 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.861 * [backup-simplify]: Simplify phi2 into phi2
1.861 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
1.861 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
1.861 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda1
1.861 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1
1.861 * [taylor]: Taking taylor expansion of phi1 in lambda1
1.861 * [backup-simplify]: Simplify phi1 into phi1
1.861 * [backup-simplify]: Simplify (cos phi1) into (cos phi1)
1.861 * [backup-simplify]: Simplify (sin phi1) into (sin phi1)
1.861 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in lambda1
1.861 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1
1.861 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1
1.861 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.861 * [backup-simplify]: Simplify 0 into 0
1.861 * [backup-simplify]: Simplify 1 into 1
1.861 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.861 * [backup-simplify]: Simplify lambda2 into lambda2
1.861 * [backup-simplify]: Simplify (- lambda2) into (- lambda2)
1.861 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2)
1.861 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2))
1.861 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2))
1.861 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1
1.861 * [taylor]: Taking taylor expansion of phi2 in lambda1
1.861 * [backup-simplify]: Simplify phi2 into phi2
1.861 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
1.862 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
1.862 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in phi2
1.862 * [taylor]: Taking taylor expansion of (cos phi1) in phi2
1.862 * [taylor]: Taking taylor expansion of phi1 in phi2
1.862 * [backup-simplify]: Simplify phi1 into phi1
1.862 * [backup-simplify]: Simplify (cos phi1) into (cos phi1)
1.862 * [backup-simplify]: Simplify (sin phi1) into (sin phi1)
1.862 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in phi2
1.862 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi2
1.862 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2
1.862 * [taylor]: Taking taylor expansion of lambda1 in phi2
1.862 * [backup-simplify]: Simplify lambda1 into lambda1
1.862 * [taylor]: Taking taylor expansion of lambda2 in phi2
1.862 * [backup-simplify]: Simplify lambda2 into lambda2
1.862 * [backup-simplify]: Simplify (- lambda2) into (- lambda2)
1.862 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
1.862 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2))
1.862 * [backup-simplify]: Simplify (sin (- lambda1 lambda2)) into (sin (- lambda1 lambda2))
1.862 * [taylor]: Taking taylor expansion of (cos phi2) in phi2
1.862 * [taylor]: Taking taylor expansion of phi2 in phi2
1.862 * [backup-simplify]: Simplify 0 into 0
1.862 * [backup-simplify]: Simplify 1 into 1
1.862 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in phi1
1.862 * [taylor]: Taking taylor expansion of (cos phi1) in phi1
1.862 * [taylor]: Taking taylor expansion of phi1 in phi1
1.862 * [backup-simplify]: Simplify 0 into 0
1.862 * [backup-simplify]: Simplify 1 into 1
1.862 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in phi1
1.862 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi1
1.862 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi1
1.863 * [taylor]: Taking taylor expansion of lambda1 in phi1
1.863 * [backup-simplify]: Simplify lambda1 into lambda1
1.863 * [taylor]: Taking taylor expansion of lambda2 in phi1
1.863 * [backup-simplify]: Simplify lambda2 into lambda2
1.863 * [backup-simplify]: Simplify (- lambda2) into (- lambda2)
1.863 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
1.863 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2))
1.863 * [backup-simplify]: Simplify (sin (- lambda1 lambda2)) into (sin (- lambda1 lambda2))
1.863 * [taylor]: Taking taylor expansion of (cos phi2) in phi1
1.863 * [taylor]: Taking taylor expansion of phi2 in phi1
1.863 * [backup-simplify]: Simplify phi2 into phi2
1.863 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
1.863 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
1.863 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in phi1
1.863 * [taylor]: Taking taylor expansion of (cos phi1) in phi1
1.863 * [taylor]: Taking taylor expansion of phi1 in phi1
1.863 * [backup-simplify]: Simplify 0 into 0
1.863 * [backup-simplify]: Simplify 1 into 1
1.863 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in phi1
1.863 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi1
1.863 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi1
1.863 * [taylor]: Taking taylor expansion of lambda1 in phi1
1.863 * [backup-simplify]: Simplify lambda1 into lambda1
1.863 * [taylor]: Taking taylor expansion of lambda2 in phi1
1.863 * [backup-simplify]: Simplify lambda2 into lambda2
1.863 * [backup-simplify]: Simplify (- lambda2) into (- lambda2)
1.863 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
1.863 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2))
1.864 * [backup-simplify]: Simplify (sin (- lambda1 lambda2)) into (sin (- lambda1 lambda2))
1.864 * [taylor]: Taking taylor expansion of (cos phi2) in phi1
1.864 * [taylor]: Taking taylor expansion of phi2 in phi1
1.864 * [backup-simplify]: Simplify phi2 into phi2
1.864 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
1.864 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
1.864 * [backup-simplify]: Simplify (* (cos (- lambda1 lambda2)) 1) into (cos (- lambda1 lambda2))
1.864 * [backup-simplify]: Simplify (* (sin (- lambda1 lambda2)) 0) into 0
1.865 * [backup-simplify]: Simplify (- 0) into 0
1.865 * [backup-simplify]: Simplify (+ (cos (- lambda1 lambda2)) 0) into (cos (- lambda1 lambda2))
1.865 * [backup-simplify]: Simplify (* (cos phi2) 1) into (cos phi2)
1.865 * [backup-simplify]: Simplify (* (sin phi2) 0) into 0
1.866 * [backup-simplify]: Simplify (- 0) into 0
1.866 * [backup-simplify]: Simplify (+ (cos phi2) 0) into (cos phi2)
1.866 * [backup-simplify]: Simplify (* (cos (- lambda1 lambda2)) (cos phi2)) into (* (cos (- lambda1 lambda2)) (cos phi2))
1.866 * [backup-simplify]: Simplify (* 1 (* (cos (- lambda1 lambda2)) (cos phi2))) into (* (cos (- lambda1 lambda2)) (cos phi2))
1.866 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in phi2
1.866 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi2
1.866 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2
1.866 * [taylor]: Taking taylor expansion of lambda1 in phi2
1.866 * [backup-simplify]: Simplify lambda1 into lambda1
1.866 * [taylor]: Taking taylor expansion of lambda2 in phi2
1.866 * [backup-simplify]: Simplify lambda2 into lambda2
1.866 * [backup-simplify]: Simplify (- lambda2) into (- lambda2)
1.866 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
1.866 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2))
1.866 * [backup-simplify]: Simplify (sin (- lambda1 lambda2)) into (sin (- lambda1 lambda2))
1.866 * [taylor]: Taking taylor expansion of (cos phi2) in phi2
1.866 * [taylor]: Taking taylor expansion of phi2 in phi2
1.867 * [backup-simplify]: Simplify 0 into 0
1.867 * [backup-simplify]: Simplify 1 into 1
1.867 * [backup-simplify]: Simplify (* (cos (- lambda1 lambda2)) 1) into (cos (- lambda1 lambda2))
1.867 * [backup-simplify]: Simplify (* (sin (- lambda1 lambda2)) 0) into 0
1.867 * [backup-simplify]: Simplify (- 0) into 0
1.867 * [backup-simplify]: Simplify (+ (cos (- lambda1 lambda2)) 0) into (cos (- lambda1 lambda2))
1.867 * [backup-simplify]: Simplify (* (cos (- lambda1 lambda2)) 1) into (cos (- lambda1 lambda2))
1.867 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1
1.867 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1
1.867 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.867 * [backup-simplify]: Simplify 0 into 0
1.868 * [backup-simplify]: Simplify 1 into 1
1.868 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.868 * [backup-simplify]: Simplify lambda2 into lambda2
1.868 * [backup-simplify]: Simplify (- lambda2) into (- lambda2)
1.868 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2)
1.868 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2))
1.868 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2))
1.868 * [backup-simplify]: Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2))
1.868 * [backup-simplify]: Simplify (* (sin (- lambda2)) 0) into 0
1.868 * [backup-simplify]: Simplify (- 0) into 0
1.868 * [backup-simplify]: Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2))
1.868 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2
1.868 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2
1.868 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.869 * [backup-simplify]: Simplify 0 into 0
1.869 * [backup-simplify]: Simplify 1 into 1
1.869 * [backup-simplify]: Simplify (- 0) into 0
1.869 * [backup-simplify]: Simplify (- 1) into -1
1.869 * [backup-simplify]: Simplify 1 into 1
1.870 * [backup-simplify]: Simplify (+ 0) into 0
1.870 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 1)) into 0
1.871 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.872 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 0)) into 0
1.872 * [backup-simplify]: Simplify (- 0) into 0
1.873 * [backup-simplify]: Simplify (+ 0 0) into 0
1.873 * [backup-simplify]: Simplify (+ 0) into 0
1.873 * [backup-simplify]: Simplify (+ (* (cos (- lambda1 lambda2)) 0) (* 0 1)) into 0
1.874 * [backup-simplify]: Simplify (- 0) into 0
1.874 * [backup-simplify]: Simplify (+ 0 0) into 0
1.875 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.876 * [backup-simplify]: Simplify (+ (* (sin (- lambda1 lambda2)) 0) (* 0 0)) into 0
1.876 * [backup-simplify]: Simplify (- 0) into 0
1.876 * [backup-simplify]: Simplify (+ 0 0) into 0
1.876 * [backup-simplify]: Simplify (+ (* (cos (- lambda1 lambda2)) 0) (* 0 (cos phi2))) into 0
1.877 * [backup-simplify]: Simplify (+ 0) into 0
1.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (* (cos (- lambda1 lambda2)) (cos phi2)))) into 0
1.877 * [taylor]: Taking taylor expansion of 0 in phi2
1.877 * [backup-simplify]: Simplify 0 into 0
1.877 * [taylor]: Taking taylor expansion of 0 in lambda1
1.878 * [backup-simplify]: Simplify 0 into 0
1.878 * [taylor]: Taking taylor expansion of 0 in lambda2
1.878 * [backup-simplify]: Simplify 0 into 0
1.878 * [backup-simplify]: Simplify 0 into 0
1.878 * [backup-simplify]: Simplify (+ 0) into 0
1.878 * [backup-simplify]: Simplify (+ 0) into 0
1.879 * [backup-simplify]: Simplify (+ (* (cos (- lambda1 lambda2)) 0) (* 0 1)) into 0
1.879 * [backup-simplify]: Simplify (- 0) into 0
1.880 * [backup-simplify]: Simplify (+ 0 0) into 0
1.880 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.881 * [backup-simplify]: Simplify (+ (* (sin (- lambda1 lambda2)) 0) (* 0 0)) into 0
1.881 * [backup-simplify]: Simplify (- 0) into 0
1.882 * [backup-simplify]: Simplify (+ 0 0) into 0
1.882 * [backup-simplify]: Simplify (+ (* (cos (- lambda1 lambda2)) 0) (* 0 1)) into 0
1.882 * [taylor]: Taking taylor expansion of 0 in lambda1
1.882 * [backup-simplify]: Simplify 0 into 0
1.882 * [taylor]: Taking taylor expansion of 0 in lambda2
1.882 * [backup-simplify]: Simplify 0 into 0
1.882 * [backup-simplify]: Simplify 0 into 0
1.883 * [backup-simplify]: Simplify (+ 0) into 0
1.883 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (* 0 1)) into 0
1.884 * [backup-simplify]: Simplify (- 0) into 0
1.884 * [backup-simplify]: Simplify (+ 1 0) into 1
1.885 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
1.885 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 1) (* 0 0)) into (sin (- lambda2))
1.885 * [backup-simplify]: Simplify (- (sin (- lambda2))) into (- (sin (- lambda2)))
1.885 * [backup-simplify]: Simplify (+ 0 (- (sin (- lambda2)))) into (- (sin (- lambda2)))
1.885 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2
1.886 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2
1.886 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2
1.886 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.886 * [backup-simplify]: Simplify 0 into 0
1.886 * [backup-simplify]: Simplify 1 into 1
1.886 * [backup-simplify]: Simplify (- 0) into 0
1.886 * [backup-simplify]: Simplify (- 1) into -1
1.887 * [backup-simplify]: Simplify (- 0) into 0
1.887 * [backup-simplify]: Simplify 0 into 0
1.887 * [backup-simplify]: Simplify (+ 0) into 0
1.887 * [backup-simplify]: Simplify 0 into 0
1.888 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.889 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 1))) into 0
1.890 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.890 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 0))) into 0
1.891 * [backup-simplify]: Simplify (- 0) into 0
1.891 * [backup-simplify]: Simplify (+ 0 0) into 0
1.892 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.893 * [backup-simplify]: Simplify (+ (* (cos (- lambda1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0
1.893 * [backup-simplify]: Simplify (- 0) into 0
1.894 * [backup-simplify]: Simplify (+ 0 0) into 0
1.895 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.895 * [backup-simplify]: Simplify (+ (* (sin (- lambda1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0
1.896 * [backup-simplify]: Simplify (- 0) into 0
1.896 * [backup-simplify]: Simplify (+ 0 0) into 0
1.897 * [backup-simplify]: Simplify (+ (* (cos (- lambda1 lambda2)) 0) (+ (* 0 0) (* 0 (cos phi2)))) into 0
1.898 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
1.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/2 (* (cos (- lambda1 lambda2)) (cos phi2))))) into (- (* 1/2 (* (cos (- lambda1 lambda2)) (cos phi2))))
1.899 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (cos (- lambda1 lambda2)) (cos phi2)))) in phi2
1.899 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos (- lambda1 lambda2)) (cos phi2))) in phi2
1.899 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.899 * [backup-simplify]: Simplify 1/2 into 1/2
1.899 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in phi2
1.899 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi2
1.899 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2
1.899 * [taylor]: Taking taylor expansion of lambda1 in phi2
1.899 * [backup-simplify]: Simplify lambda1 into lambda1
1.899 * [taylor]: Taking taylor expansion of lambda2 in phi2
1.899 * [backup-simplify]: Simplify lambda2 into lambda2
1.899 * [backup-simplify]: Simplify (- lambda2) into (- lambda2)
1.899 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
1.899 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2))
1.899 * [backup-simplify]: Simplify (sin (- lambda1 lambda2)) into (sin (- lambda1 lambda2))
1.899 * [taylor]: Taking taylor expansion of (cos phi2) in phi2
1.899 * [taylor]: Taking taylor expansion of phi2 in phi2
1.899 * [backup-simplify]: Simplify 0 into 0
1.899 * [backup-simplify]: Simplify 1 into 1
1.899 * [backup-simplify]: Simplify (* (cos (- lambda1 lambda2)) 1) into (cos (- lambda1 lambda2))
1.899 * [backup-simplify]: Simplify (* (sin (- lambda1 lambda2)) 0) into 0
1.900 * [backup-simplify]: Simplify (- 0) into 0
1.900 * [backup-simplify]: Simplify (+ (cos (- lambda1 lambda2)) 0) into (cos (- lambda1 lambda2))
1.900 * [backup-simplify]: Simplify (* (cos (- lambda1 lambda2)) 1) into (cos (- lambda1 lambda2))
1.900 * [backup-simplify]: Simplify (* 1/2 (cos (- lambda1 lambda2))) into (* 1/2 (cos (- lambda1 lambda2)))
1.900 * [backup-simplify]: Simplify (- (* 1/2 (cos (- lambda1 lambda2)))) into (- (* 1/2 (cos (- lambda1 lambda2))))
1.900 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda1 lambda2)))) in lambda1
1.900 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda1 lambda2))) in lambda1
1.900 * [taylor]: Taking taylor expansion of 1/2 in lambda1
1.900 * [backup-simplify]: Simplify 1/2 into 1/2
1.900 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1
1.901 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1
1.901 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.901 * [backup-simplify]: Simplify 0 into 0
1.901 * [backup-simplify]: Simplify 1 into 1
1.901 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.901 * [backup-simplify]: Simplify lambda2 into lambda2
1.901 * [backup-simplify]: Simplify (- lambda2) into (- lambda2)
1.901 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2)
1.901 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2))
1.901 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2))
1.901 * [backup-simplify]: Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2))
1.901 * [backup-simplify]: Simplify (* (sin (- lambda2)) 0) into 0
1.901 * [backup-simplify]: Simplify (- 0) into 0
1.902 * [backup-simplify]: Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2))
1.902 * [backup-simplify]: Simplify (* 1/2 (cos (- lambda2))) into (* 1/2 (cos (- lambda2)))
1.902 * [backup-simplify]: Simplify (- (* 1/2 (cos (- lambda2)))) into (- (* 1/2 (cos (- lambda2))))
1.902 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2
1.902 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2
1.902 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.902 * [backup-simplify]: Simplify 1/2 into 1/2
1.902 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2
1.902 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2
1.902 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.902 * [backup-simplify]: Simplify 0 into 0
1.902 * [backup-simplify]: Simplify 1 into 1
1.902 * [backup-simplify]: Simplify (- 0) into 0
1.903 * [backup-simplify]: Simplify (- 1) into -1
1.903 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.904 * [backup-simplify]: Simplify (- 1/2) into -1/2
1.904 * [backup-simplify]: Simplify -1/2 into -1/2
1.904 * [taylor]: Taking taylor expansion of 0 in lambda1
1.904 * [backup-simplify]: Simplify 0 into 0
1.904 * [taylor]: Taking taylor expansion of 0 in lambda2
1.904 * [backup-simplify]: Simplify 0 into 0
1.904 * [backup-simplify]: Simplify 0 into 0
1.905 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
1.906 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.911 * [backup-simplify]: Simplify (+ (* (cos (- lambda1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0
1.912 * [backup-simplify]: Simplify (- 0) into 0
1.912 * [backup-simplify]: Simplify (+ 0 0) into 0
1.913 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.914 * [backup-simplify]: Simplify (+ (* (sin (- lambda1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0
1.915 * [backup-simplify]: Simplify (- 0) into 0
1.915 * [backup-simplify]: Simplify (+ 0 0) into 0
1.916 * [backup-simplify]: Simplify (+ (* (cos (- lambda1 lambda2)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (- lambda1 lambda2))))
1.916 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda1 lambda2)))) in lambda1
1.916 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda1 lambda2))) in lambda1
1.916 * [taylor]: Taking taylor expansion of 1/2 in lambda1
1.916 * [backup-simplify]: Simplify 1/2 into 1/2
1.916 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1
1.916 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1
1.916 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.916 * [backup-simplify]: Simplify 0 into 0
1.916 * [backup-simplify]: Simplify 1 into 1
1.916 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.916 * [backup-simplify]: Simplify lambda2 into lambda2
1.916 * [backup-simplify]: Simplify (- lambda2) into (- lambda2)
1.916 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2)
1.917 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2))
1.917 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2))
1.917 * [backup-simplify]: Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2))
1.917 * [backup-simplify]: Simplify (* (sin (- lambda2)) 0) into 0
1.917 * [backup-simplify]: Simplify (- 0) into 0
1.917 * [backup-simplify]: Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2))
1.917 * [backup-simplify]: Simplify (* 1/2 (cos (- lambda2))) into (* 1/2 (cos (- lambda2)))
1.918 * [backup-simplify]: Simplify (- (* 1/2 (cos (- lambda2)))) into (- (* 1/2 (cos (- lambda2))))
1.918 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2
1.918 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2
1.918 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.918 * [backup-simplify]: Simplify 1/2 into 1/2
1.918 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2
1.918 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2
1.918 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.918 * [backup-simplify]: Simplify 0 into 0
1.918 * [backup-simplify]: Simplify 1 into 1
1.918 * [backup-simplify]: Simplify (- 0) into 0
1.919 * [backup-simplify]: Simplify (- 1) into -1
1.919 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.920 * [backup-simplify]: Simplify (- 1/2) into -1/2
1.920 * [backup-simplify]: Simplify -1/2 into -1/2
1.920 * [backup-simplify]: Simplify (+ (* -1/2 (pow (* 1 (* 1 (* phi2 1))) 2)) (+ (* -1/2 (pow (* 1 (* 1 (* 1 phi1))) 2)) 1)) into (- 1 (+ (* 1/2 (pow phi2 2)) (* 1/2 (pow phi1 2))))
1.921 * [backup-simplify]: Simplify (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))) into (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))
1.921 * [approximate]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) in (phi1 phi2 lambda1 lambda2) around 0
1.921 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) in lambda2
1.921 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2
1.921 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
1.921 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.921 * [backup-simplify]: Simplify phi2 into phi2
1.921 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.921 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
1.921 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
1.921 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) in lambda2
1.921 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2
1.921 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
1.921 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
1.921 * [taylor]: Taking taylor expansion of lambda1 in lambda2
1.921 * [backup-simplify]: Simplify lambda1 into lambda1
1.921 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
1.921 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
1.922 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.922 * [backup-simplify]: Simplify 0 into 0
1.922 * [backup-simplify]: Simplify 1 into 1
1.922 * [backup-simplify]: Simplify (/ 1 1) into 1
1.922 * [backup-simplify]: Simplify (- 1) into -1
1.923 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.923 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
1.923 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2
1.923 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
1.923 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.923 * [backup-simplify]: Simplify phi1 into phi1
1.923 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.923 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
1.923 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
1.923 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) in lambda1
1.923 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1
1.924 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
1.924 * [taylor]: Taking taylor expansion of phi2 in lambda1
1.924 * [backup-simplify]: Simplify phi2 into phi2
1.924 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.924 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
1.924 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
1.924 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) in lambda1
1.924 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1
1.924 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
1.924 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
1.924 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.924 * [backup-simplify]: Simplify 0 into 0
1.924 * [backup-simplify]: Simplify 1 into 1
1.924 * [backup-simplify]: Simplify (/ 1 1) into 1
1.924 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
1.924 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.925 * [backup-simplify]: Simplify lambda2 into lambda2
1.925 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
1.925 * [backup-simplify]: Simplify (+ 1 0) into 1
1.925 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
1.925 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1
1.925 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
1.925 * [taylor]: Taking taylor expansion of phi1 in lambda1
1.925 * [backup-simplify]: Simplify phi1 into phi1
1.925 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.925 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
1.925 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
1.926 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) in phi2
1.926 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2
1.926 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
1.926 * [taylor]: Taking taylor expansion of phi2 in phi2
1.926 * [backup-simplify]: Simplify 0 into 0
1.926 * [backup-simplify]: Simplify 1 into 1
1.926 * [backup-simplify]: Simplify (/ 1 1) into 1
1.926 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
1.926 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) in phi2
1.926 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi2
1.926 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2
1.926 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2
1.926 * [taylor]: Taking taylor expansion of lambda1 in phi2
1.926 * [backup-simplify]: Simplify lambda1 into lambda1
1.926 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
1.926 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2
1.926 * [taylor]: Taking taylor expansion of lambda2 in phi2
1.926 * [backup-simplify]: Simplify lambda2 into lambda2
1.927 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
1.927 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
1.927 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
1.927 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
1.927 * [backup-simplify]: Simplify (sin (- (/ 1 lambda1) (/ 1 lambda2))) into (sin (- (/ 1 lambda1) (/ 1 lambda2)))
1.927 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2
1.927 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
1.927 * [taylor]: Taking taylor expansion of phi1 in phi2
1.927 * [backup-simplify]: Simplify phi1 into phi1
1.927 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.927 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
1.927 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
1.927 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) in phi1
1.927 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1
1.927 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
1.927 * [taylor]: Taking taylor expansion of phi2 in phi1
1.927 * [backup-simplify]: Simplify phi2 into phi2
1.928 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.928 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
1.928 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
1.928 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) in phi1
1.928 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi1
1.928 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1
1.928 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1
1.928 * [taylor]: Taking taylor expansion of lambda1 in phi1
1.928 * [backup-simplify]: Simplify lambda1 into lambda1
1.928 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
1.928 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1
1.928 * [taylor]: Taking taylor expansion of lambda2 in phi1
1.928 * [backup-simplify]: Simplify lambda2 into lambda2
1.928 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
1.928 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
1.928 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
1.928 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
1.928 * [backup-simplify]: Simplify (sin (- (/ 1 lambda1) (/ 1 lambda2))) into (sin (- (/ 1 lambda1) (/ 1 lambda2)))
1.929 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1
1.929 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
1.929 * [taylor]: Taking taylor expansion of phi1 in phi1
1.929 * [backup-simplify]: Simplify 0 into 0
1.929 * [backup-simplify]: Simplify 1 into 1
1.929 * [backup-simplify]: Simplify (/ 1 1) into 1
1.929 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
1.929 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) in phi1
1.929 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1
1.929 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
1.929 * [taylor]: Taking taylor expansion of phi2 in phi1
1.929 * [backup-simplify]: Simplify phi2 into phi2
1.929 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.929 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
1.930 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
1.930 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) in phi1
1.930 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi1
1.930 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1
1.930 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1
1.930 * [taylor]: Taking taylor expansion of lambda1 in phi1
1.930 * [backup-simplify]: Simplify lambda1 into lambda1
1.930 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
1.930 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1
1.930 * [taylor]: Taking taylor expansion of lambda2 in phi1
1.930 * [backup-simplify]: Simplify lambda2 into lambda2
1.930 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
1.930 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
1.930 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
1.930 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
1.930 * [backup-simplify]: Simplify (sin (- (/ 1 lambda1) (/ 1 lambda2))) into (sin (- (/ 1 lambda1) (/ 1 lambda2)))
1.930 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1
1.930 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
1.930 * [taylor]: Taking taylor expansion of phi1 in phi1
1.931 * [backup-simplify]: Simplify 0 into 0
1.931 * [backup-simplify]: Simplify 1 into 1
1.931 * [backup-simplify]: Simplify (/ 1 1) into 1
1.931 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
1.931 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2))
1.931 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 0) into 0
1.932 * [backup-simplify]: Simplify (- 0) into 0
1.932 * [backup-simplify]: Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2))
1.932 * [backup-simplify]: Simplify (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
1.932 * [backup-simplify]: Simplify (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) 0) into 0
1.932 * [backup-simplify]: Simplify (- 0) into 0
1.932 * [backup-simplify]: Simplify (+ (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
1.932 * [backup-simplify]: Simplify (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) into (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))
1.933 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))
1.933 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) in phi2
1.933 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2
1.933 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
1.933 * [taylor]: Taking taylor expansion of phi2 in phi2
1.933 * [backup-simplify]: Simplify 0 into 0
1.933 * [backup-simplify]: Simplify 1 into 1
1.933 * [backup-simplify]: Simplify (/ 1 1) into 1
1.933 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
1.933 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) in phi2
1.933 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi2
1.933 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2
1.933 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2
1.933 * [taylor]: Taking taylor expansion of lambda1 in phi2
1.933 * [backup-simplify]: Simplify lambda1 into lambda1
1.933 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
1.933 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2
1.933 * [taylor]: Taking taylor expansion of lambda2 in phi2
1.933 * [backup-simplify]: Simplify lambda2 into lambda2
1.933 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
1.933 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
1.933 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
1.933 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
1.933 * [backup-simplify]: Simplify (sin (- (/ 1 lambda1) (/ 1 lambda2))) into (sin (- (/ 1 lambda1) (/ 1 lambda2)))
1.933 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2
1.933 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
1.933 * [taylor]: Taking taylor expansion of phi1 in phi2
1.933 * [backup-simplify]: Simplify phi1 into phi1
1.933 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.934 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
1.934 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
1.934 * [backup-simplify]: Simplify (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
1.934 * [backup-simplify]: Simplify (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) 0) into 0
1.934 * [backup-simplify]: Simplify (- 0) into 0
1.934 * [backup-simplify]: Simplify (+ (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
1.934 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1))
1.934 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 0) into 0
1.934 * [backup-simplify]: Simplify (- 0) into 0
1.935 * [backup-simplify]: Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1))
1.935 * [backup-simplify]: Simplify (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) into (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))
1.935 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))
1.935 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) in lambda1
1.935 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1
1.935 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
1.935 * [taylor]: Taking taylor expansion of phi2 in lambda1
1.935 * [backup-simplify]: Simplify phi2 into phi2
1.935 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.935 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
1.935 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
1.935 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) in lambda1
1.935 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1
1.935 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
1.935 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
1.935 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.935 * [backup-simplify]: Simplify 0 into 0
1.935 * [backup-simplify]: Simplify 1 into 1
1.935 * [backup-simplify]: Simplify (/ 1 1) into 1
1.935 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
1.935 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.935 * [backup-simplify]: Simplify lambda2 into lambda2
1.935 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
1.936 * [backup-simplify]: Simplify (+ 1 0) into 1
1.936 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
1.936 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1
1.936 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
1.936 * [taylor]: Taking taylor expansion of phi1 in lambda1
1.936 * [backup-simplify]: Simplify phi1 into phi1
1.936 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.936 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
1.936 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
1.936 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2))
1.936 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 0) into 0
1.936 * [backup-simplify]: Simplify (- 0) into 0
1.936 * [backup-simplify]: Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2))
1.936 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1))
1.937 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 0) into 0
1.937 * [backup-simplify]: Simplify (- 0) into 0
1.937 * [backup-simplify]: Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1))
1.937 * [backup-simplify]: Simplify (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) into (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))
1.937 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))
1.937 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) in lambda2
1.937 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2
1.937 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
1.937 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.937 * [backup-simplify]: Simplify phi2 into phi2
1.937 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.937 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
1.937 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
1.937 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) in lambda2
1.937 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2
1.937 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
1.937 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
1.937 * [taylor]: Taking taylor expansion of lambda1 in lambda2
1.937 * [backup-simplify]: Simplify lambda1 into lambda1
1.937 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
1.937 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
1.937 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.937 * [backup-simplify]: Simplify 0 into 0
1.937 * [backup-simplify]: Simplify 1 into 1
1.938 * [backup-simplify]: Simplify (/ 1 1) into 1
1.938 * [backup-simplify]: Simplify (- 1) into -1
1.938 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.938 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
1.938 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2
1.938 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
1.938 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.938 * [backup-simplify]: Simplify phi1 into phi1
1.938 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.938 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
1.939 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
1.939 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2))
1.939 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 0) into 0
1.939 * [backup-simplify]: Simplify (- 0) into 0
1.939 * [backup-simplify]: Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2))
1.939 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1))
1.939 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 0) into 0
1.939 * [backup-simplify]: Simplify (- 0) into 0
1.939 * [backup-simplify]: Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1))
1.940 * [backup-simplify]: Simplify (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) into (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))
1.940 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))
1.940 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))
1.940 * [backup-simplify]: Simplify (+ 0) into 0
1.940 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 1)) into 0
1.941 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0
1.941 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
1.941 * [backup-simplify]: Simplify (- 0) into 0
1.941 * [backup-simplify]: Simplify (+ 0 0) into 0
1.942 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.942 * [backup-simplify]: Simplify (+ (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 0)) into 0
1.942 * [backup-simplify]: Simplify (- 0) into 0
1.943 * [backup-simplify]: Simplify (+ 0 0) into 0
1.943 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 (cos (/ 1 phi1)))) into 0
1.943 * [backup-simplify]: Simplify (+ 0) into 0
1.943 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0
1.943 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
1.944 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.944 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0
1.944 * [backup-simplify]: Simplify (- 0) into 0
1.945 * [backup-simplify]: Simplify (+ 0 0) into 0
1.945 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))) into 0
1.945 * [taylor]: Taking taylor expansion of 0 in phi2
1.945 * [backup-simplify]: Simplify 0 into 0
1.945 * [taylor]: Taking taylor expansion of 0 in lambda1
1.945 * [backup-simplify]: Simplify 0 into 0
1.945 * [taylor]: Taking taylor expansion of 0 in lambda2
1.945 * [backup-simplify]: Simplify 0 into 0
1.945 * [backup-simplify]: Simplify 0 into 0
1.945 * [backup-simplify]: Simplify (+ 0) into 0
1.945 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 1)) into 0
1.946 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
1.946 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.946 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 0)) into 0
1.947 * [backup-simplify]: Simplify (- 0) into 0
1.947 * [backup-simplify]: Simplify (+ 0 0) into 0
1.947 * [backup-simplify]: Simplify (+ 0) into 0
1.947 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 1)) into 0
1.947 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0
1.947 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
1.948 * [backup-simplify]: Simplify (- 0) into 0
1.948 * [backup-simplify]: Simplify (+ 0 0) into 0
1.948 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.949 * [backup-simplify]: Simplify (+ (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 0)) into 0
1.949 * [backup-simplify]: Simplify (- 0) into 0
1.949 * [backup-simplify]: Simplify (+ 0 0) into 0
1.949 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 (cos (/ 1 phi1)))) into 0
1.949 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))) into 0
1.949 * [taylor]: Taking taylor expansion of 0 in lambda1
1.949 * [backup-simplify]: Simplify 0 into 0
1.950 * [taylor]: Taking taylor expansion of 0 in lambda2
1.950 * [backup-simplify]: Simplify 0 into 0
1.950 * [backup-simplify]: Simplify 0 into 0
1.950 * [backup-simplify]: Simplify (+ 0) into 0
1.950 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 1)) into 0
1.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
1.951 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.951 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 0)) into 0
1.951 * [backup-simplify]: Simplify (- 0) into 0
1.951 * [backup-simplify]: Simplify (+ 0 0) into 0
1.952 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 (cos (/ 1 phi1)))) into 0
1.952 * [backup-simplify]: Simplify (+ 0) into 0
1.952 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0
1.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
1.953 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.953 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0
1.953 * [backup-simplify]: Simplify (- 0) into 0
1.953 * [backup-simplify]: Simplify (+ 0 0) into 0
1.953 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))) into 0
1.954 * [taylor]: Taking taylor expansion of 0 in lambda2
1.954 * [backup-simplify]: Simplify 0 into 0
1.954 * [backup-simplify]: Simplify 0 into 0
1.954 * [backup-simplify]: Simplify (+ 0) into 0
1.954 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 1)) into 0
1.954 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
1.955 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.955 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 0)) into 0
1.955 * [backup-simplify]: Simplify (- 0) into 0
1.955 * [backup-simplify]: Simplify (+ 0 0) into 0
1.955 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 (cos (/ 1 phi1)))) into 0
1.956 * [backup-simplify]: Simplify (+ 0) into 0
1.956 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0
1.956 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
1.957 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.957 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0
1.957 * [backup-simplify]: Simplify (- 0) into 0
1.957 * [backup-simplify]: Simplify (+ 0 0) into 0
1.957 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))) into 0
1.957 * [backup-simplify]: Simplify 0 into 0
1.958 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.958 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (+ (* 0 0) (* 0 1))) into 0
1.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0
1.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
1.959 * [backup-simplify]: Simplify (- 0) into 0
1.959 * [backup-simplify]: Simplify (+ 0 0) into 0
1.960 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.960 * [backup-simplify]: Simplify (+ (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) 0) (+ (* 0 0) (* 0 0))) into 0
1.960 * [backup-simplify]: Simplify (- 0) into 0
1.960 * [backup-simplify]: Simplify (+ 0 0) into 0
1.961 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (+ (* 0 0) (* 0 (cos (/ 1 phi1))))) into 0
1.961 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.962 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
1.962 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
1.962 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.963 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
1.963 * [backup-simplify]: Simplify (- 0) into 0
1.963 * [backup-simplify]: Simplify (+ 0 0) into 0
1.963 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into 0
1.963 * [taylor]: Taking taylor expansion of 0 in phi2
1.963 * [backup-simplify]: Simplify 0 into 0
1.963 * [taylor]: Taking taylor expansion of 0 in lambda1
1.963 * [backup-simplify]: Simplify 0 into 0
1.963 * [taylor]: Taking taylor expansion of 0 in lambda2
1.964 * [backup-simplify]: Simplify 0 into 0
1.964 * [backup-simplify]: Simplify 0 into 0
1.964 * [taylor]: Taking taylor expansion of 0 in lambda1
1.964 * [backup-simplify]: Simplify 0 into 0
1.964 * [taylor]: Taking taylor expansion of 0 in lambda2
1.964 * [backup-simplify]: Simplify 0 into 0
1.964 * [backup-simplify]: Simplify 0 into 0
1.964 * [backup-simplify]: Simplify (* (cos (/ 1 (/ 1 phi2))) (* (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) (cos (/ 1 (/ 1 phi1))))) into (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))
1.964 * [backup-simplify]: Simplify (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))
1.964 * [approximate]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in (phi1 phi2 lambda1 lambda2) around 0
1.964 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2
1.964 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2
1.964 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2
1.964 * [taylor]: Taking taylor expansion of -1 in lambda2
1.964 * [backup-simplify]: Simplify -1 into -1
1.964 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.964 * [backup-simplify]: Simplify phi1 into phi1
1.964 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
1.964 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
1.964 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
1.964 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda2
1.964 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2
1.964 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2
1.964 * [taylor]: Taking taylor expansion of -1 in lambda2
1.964 * [backup-simplify]: Simplify -1 into -1
1.964 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.964 * [backup-simplify]: Simplify phi2 into phi2
1.964 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
1.964 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
1.964 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
1.964 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2
1.964 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2
1.964 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
1.964 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.965 * [backup-simplify]: Simplify 0 into 0
1.965 * [backup-simplify]: Simplify 1 into 1
1.965 * [backup-simplify]: Simplify (/ 1 1) into 1
1.965 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
1.965 * [taylor]: Taking taylor expansion of lambda1 in lambda2
1.965 * [backup-simplify]: Simplify lambda1 into lambda1
1.965 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
1.965 * [backup-simplify]: Simplify (+ 1 0) into 1
1.965 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
1.965 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda1
1.965 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1
1.965 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1
1.965 * [taylor]: Taking taylor expansion of -1 in lambda1
1.965 * [backup-simplify]: Simplify -1 into -1
1.965 * [taylor]: Taking taylor expansion of phi1 in lambda1
1.965 * [backup-simplify]: Simplify phi1 into phi1
1.965 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
1.965 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
1.965 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
1.966 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda1
1.966 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1
1.966 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1
1.966 * [taylor]: Taking taylor expansion of -1 in lambda1
1.966 * [backup-simplify]: Simplify -1 into -1
1.966 * [taylor]: Taking taylor expansion of phi2 in lambda1
1.966 * [backup-simplify]: Simplify phi2 into phi2
1.966 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
1.966 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
1.966 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
1.966 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1
1.966 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1
1.966 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
1.966 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.966 * [backup-simplify]: Simplify lambda2 into lambda2
1.966 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
1.966 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
1.966 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.966 * [backup-simplify]: Simplify 0 into 0
1.966 * [backup-simplify]: Simplify 1 into 1
1.966 * [backup-simplify]: Simplify (/ 1 1) into 1
1.966 * [backup-simplify]: Simplify (- 1) into -1
1.967 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.967 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
1.967 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi2
1.967 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2
1.967 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
1.967 * [taylor]: Taking taylor expansion of -1 in phi2
1.967 * [backup-simplify]: Simplify -1 into -1
1.967 * [taylor]: Taking taylor expansion of phi1 in phi2
1.967 * [backup-simplify]: Simplify phi1 into phi1
1.967 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
1.967 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
1.967 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
1.967 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi2
1.967 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2
1.967 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
1.967 * [taylor]: Taking taylor expansion of -1 in phi2
1.967 * [backup-simplify]: Simplify -1 into -1
1.967 * [taylor]: Taking taylor expansion of phi2 in phi2
1.967 * [backup-simplify]: Simplify 0 into 0
1.967 * [backup-simplify]: Simplify 1 into 1
1.967 * [backup-simplify]: Simplify (/ -1 1) into -1
1.968 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
1.968 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi2
1.968 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi2
1.968 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2
1.968 * [taylor]: Taking taylor expansion of lambda2 in phi2
1.968 * [backup-simplify]: Simplify lambda2 into lambda2
1.968 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
1.968 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2
1.968 * [taylor]: Taking taylor expansion of lambda1 in phi2
1.968 * [backup-simplify]: Simplify lambda1 into lambda1
1.968 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
1.968 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1))
1.968 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1))
1.968 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
1.968 * [backup-simplify]: Simplify (sin (- (/ 1 lambda2) (/ 1 lambda1))) into (sin (- (/ 1 lambda2) (/ 1 lambda1)))
1.968 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi1
1.968 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1
1.968 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
1.968 * [taylor]: Taking taylor expansion of -1 in phi1
1.968 * [backup-simplify]: Simplify -1 into -1
1.969 * [taylor]: Taking taylor expansion of phi1 in phi1
1.969 * [backup-simplify]: Simplify 0 into 0
1.969 * [backup-simplify]: Simplify 1 into 1
1.969 * [backup-simplify]: Simplify (/ -1 1) into -1
1.969 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
1.969 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi1
1.969 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1
1.969 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
1.969 * [taylor]: Taking taylor expansion of -1 in phi1
1.969 * [backup-simplify]: Simplify -1 into -1
1.969 * [taylor]: Taking taylor expansion of phi2 in phi1
1.969 * [backup-simplify]: Simplify phi2 into phi2
1.969 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
1.970 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
1.970 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
1.970 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi1
1.970 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi1
1.970 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1
1.970 * [taylor]: Taking taylor expansion of lambda2 in phi1
1.970 * [backup-simplify]: Simplify lambda2 into lambda2
1.970 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
1.970 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1
1.970 * [taylor]: Taking taylor expansion of lambda1 in phi1
1.970 * [backup-simplify]: Simplify lambda1 into lambda1
1.970 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
1.970 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1))
1.970 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1))
1.970 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
1.970 * [backup-simplify]: Simplify (sin (- (/ 1 lambda2) (/ 1 lambda1))) into (sin (- (/ 1 lambda2) (/ 1 lambda1)))
1.970 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi1
1.970 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1
1.970 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
1.970 * [taylor]: Taking taylor expansion of -1 in phi1
1.971 * [backup-simplify]: Simplify -1 into -1
1.971 * [taylor]: Taking taylor expansion of phi1 in phi1
1.971 * [backup-simplify]: Simplify 0 into 0
1.971 * [backup-simplify]: Simplify 1 into 1
1.971 * [backup-simplify]: Simplify (/ -1 1) into -1
1.971 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
1.971 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi1
1.971 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1
1.971 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
1.971 * [taylor]: Taking taylor expansion of -1 in phi1
1.971 * [backup-simplify]: Simplify -1 into -1
1.971 * [taylor]: Taking taylor expansion of phi2 in phi1
1.971 * [backup-simplify]: Simplify phi2 into phi2
1.972 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
1.972 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
1.972 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
1.972 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi1
1.972 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi1
1.972 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1
1.972 * [taylor]: Taking taylor expansion of lambda2 in phi1
1.972 * [backup-simplify]: Simplify lambda2 into lambda2
1.972 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
1.972 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1
1.972 * [taylor]: Taking taylor expansion of lambda1 in phi1
1.972 * [backup-simplify]: Simplify lambda1 into lambda1
1.972 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
1.972 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1))
1.972 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1))
1.972 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
1.972 * [backup-simplify]: Simplify (sin (- (/ 1 lambda2) (/ 1 lambda1))) into (sin (- (/ 1 lambda2) (/ 1 lambda1)))
1.973 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2))
1.973 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 0) into 0
1.973 * [backup-simplify]: Simplify (- 0) into 0
1.973 * [backup-simplify]: Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2))
1.974 * [backup-simplify]: Simplify (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
1.974 * [backup-simplify]: Simplify (* (sin (- (/ 1 lambda2) (/ 1 lambda1))) 0) into 0
1.974 * [backup-simplify]: Simplify (- 0) into 0
1.974 * [backup-simplify]: Simplify (+ (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
1.974 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))
1.975 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))
1.975 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi2
1.975 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2
1.975 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
1.975 * [taylor]: Taking taylor expansion of -1 in phi2
1.975 * [backup-simplify]: Simplify -1 into -1
1.975 * [taylor]: Taking taylor expansion of phi1 in phi2
1.975 * [backup-simplify]: Simplify phi1 into phi1
1.975 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
1.975 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
1.975 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
1.975 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi2
1.975 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2
1.975 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
1.975 * [taylor]: Taking taylor expansion of -1 in phi2
1.975 * [backup-simplify]: Simplify -1 into -1
1.975 * [taylor]: Taking taylor expansion of phi2 in phi2
1.975 * [backup-simplify]: Simplify 0 into 0
1.975 * [backup-simplify]: Simplify 1 into 1
1.976 * [backup-simplify]: Simplify (/ -1 1) into -1
1.976 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
1.976 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi2
1.976 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi2
1.976 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2
1.976 * [taylor]: Taking taylor expansion of lambda2 in phi2
1.976 * [backup-simplify]: Simplify lambda2 into lambda2
1.976 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
1.976 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2
1.976 * [taylor]: Taking taylor expansion of lambda1 in phi2
1.976 * [backup-simplify]: Simplify lambda1 into lambda1
1.976 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
1.976 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1))
1.976 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1))
1.976 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
1.976 * [backup-simplify]: Simplify (sin (- (/ 1 lambda2) (/ 1 lambda1))) into (sin (- (/ 1 lambda2) (/ 1 lambda1)))
1.976 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1))
1.976 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 0) into 0
1.977 * [backup-simplify]: Simplify (- 0) into 0
1.977 * [backup-simplify]: Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1))
1.977 * [backup-simplify]: Simplify (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
1.977 * [backup-simplify]: Simplify (* (sin (- (/ 1 lambda2) (/ 1 lambda1))) 0) into 0
1.977 * [backup-simplify]: Simplify (- 0) into 0
1.977 * [backup-simplify]: Simplify (+ (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
1.977 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))
1.977 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))
1.977 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda1
1.977 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1
1.977 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1
1.977 * [taylor]: Taking taylor expansion of -1 in lambda1
1.977 * [backup-simplify]: Simplify -1 into -1
1.977 * [taylor]: Taking taylor expansion of phi1 in lambda1
1.977 * [backup-simplify]: Simplify phi1 into phi1
1.977 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
1.978 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
1.978 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
1.978 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda1
1.978 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1
1.978 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1
1.978 * [taylor]: Taking taylor expansion of -1 in lambda1
1.978 * [backup-simplify]: Simplify -1 into -1
1.978 * [taylor]: Taking taylor expansion of phi2 in lambda1
1.978 * [backup-simplify]: Simplify phi2 into phi2
1.978 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
1.978 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
1.978 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
1.978 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1
1.978 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1
1.978 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
1.978 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.978 * [backup-simplify]: Simplify lambda2 into lambda2
1.978 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
1.978 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
1.978 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.978 * [backup-simplify]: Simplify 0 into 0
1.978 * [backup-simplify]: Simplify 1 into 1
1.978 * [backup-simplify]: Simplify (/ 1 1) into 1
1.978 * [backup-simplify]: Simplify (- 1) into -1
1.979 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.979 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
1.979 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1))
1.979 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 0) into 0
1.979 * [backup-simplify]: Simplify (- 0) into 0
1.979 * [backup-simplify]: Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1))
1.979 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2))
1.979 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 0) into 0
1.980 * [backup-simplify]: Simplify (- 0) into 0
1.980 * [backup-simplify]: Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2))
1.980 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))
1.980 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))
1.980 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2
1.980 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2
1.980 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2
1.980 * [taylor]: Taking taylor expansion of -1 in lambda2
1.980 * [backup-simplify]: Simplify -1 into -1
1.980 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.980 * [backup-simplify]: Simplify phi1 into phi1
1.980 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
1.980 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
1.980 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
1.980 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda2
1.980 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2
1.980 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2
1.980 * [taylor]: Taking taylor expansion of -1 in lambda2
1.980 * [backup-simplify]: Simplify -1 into -1
1.980 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.980 * [backup-simplify]: Simplify phi2 into phi2
1.980 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
1.980 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
1.980 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
1.980 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2
1.980 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2
1.980 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
1.980 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.980 * [backup-simplify]: Simplify 0 into 0
1.980 * [backup-simplify]: Simplify 1 into 1
1.981 * [backup-simplify]: Simplify (/ 1 1) into 1
1.981 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
1.981 * [taylor]: Taking taylor expansion of lambda1 in lambda2
1.981 * [backup-simplify]: Simplify lambda1 into lambda1
1.981 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
1.981 * [backup-simplify]: Simplify (+ 1 0) into 1
1.981 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
1.981 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1))
1.981 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 0) into 0
1.982 * [backup-simplify]: Simplify (- 0) into 0
1.982 * [backup-simplify]: Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1))
1.982 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2))
1.982 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 0) into 0
1.982 * [backup-simplify]: Simplify (- 0) into 0
1.982 * [backup-simplify]: Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2))
1.982 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))
1.982 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))
1.983 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))
1.983 * [backup-simplify]: Simplify (+ 0) into 0
1.983 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0) (* 0 1)) into 0
1.983 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
1.983 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0
1.984 * [backup-simplify]: Simplify (- 0) into 0
1.984 * [backup-simplify]: Simplify (+ 0 0) into 0
1.984 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.985 * [backup-simplify]: Simplify (+ (* (sin (- (/ 1 lambda2) (/ 1 lambda1))) 0) (* 0 0)) into 0
1.985 * [backup-simplify]: Simplify (- 0) into 0
1.985 * [backup-simplify]: Simplify (+ 0 0) into 0
1.985 * [backup-simplify]: Simplify (+ 0) into 0
1.986 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 1)) into 0
1.986 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0
1.986 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.986 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 0)) into 0
1.987 * [backup-simplify]: Simplify (- 0) into 0
1.987 * [backup-simplify]: Simplify (+ 0 0) into 0
1.987 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into 0
1.987 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) into 0
1.987 * [taylor]: Taking taylor expansion of 0 in phi2
1.987 * [backup-simplify]: Simplify 0 into 0
1.987 * [taylor]: Taking taylor expansion of 0 in lambda1
1.987 * [backup-simplify]: Simplify 0 into 0
1.987 * [taylor]: Taking taylor expansion of 0 in lambda2
1.987 * [backup-simplify]: Simplify 0 into 0
1.987 * [backup-simplify]: Simplify 0 into 0
1.988 * [backup-simplify]: Simplify (+ 0) into 0
1.988 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0) (* 0 1)) into 0
1.988 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
1.988 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0
1.988 * [backup-simplify]: Simplify (- 0) into 0
1.989 * [backup-simplify]: Simplify (+ 0 0) into 0
1.989 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.989 * [backup-simplify]: Simplify (+ (* (sin (- (/ 1 lambda2) (/ 1 lambda1))) 0) (* 0 0)) into 0
1.990 * [backup-simplify]: Simplify (- 0) into 0
1.990 * [backup-simplify]: Simplify (+ 0 0) into 0
1.990 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into 0
1.990 * [backup-simplify]: Simplify (+ 0) into 0
1.991 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0
1.991 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0
1.991 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.992 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0
1.992 * [backup-simplify]: Simplify (- 0) into 0
1.992 * [backup-simplify]: Simplify (+ 0 0) into 0
1.992 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) into 0
1.992 * [taylor]: Taking taylor expansion of 0 in lambda1
1.992 * [backup-simplify]: Simplify 0 into 0
1.992 * [taylor]: Taking taylor expansion of 0 in lambda2
1.992 * [backup-simplify]: Simplify 0 into 0
1.992 * [backup-simplify]: Simplify 0 into 0
1.993 * [backup-simplify]: Simplify (+ 0) into 0
1.993 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 1)) into 0
1.993 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0
1.994 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.994 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 0)) into 0
1.994 * [backup-simplify]: Simplify (- 0) into 0
1.994 * [backup-simplify]: Simplify (+ 0 0) into 0
1.995 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into 0
1.995 * [backup-simplify]: Simplify (+ 0) into 0
1.995 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0
1.995 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0
1.996 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.996 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0
1.996 * [backup-simplify]: Simplify (- 0) into 0
1.996 * [backup-simplify]: Simplify (+ 0 0) into 0
1.997 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) into 0
1.997 * [taylor]: Taking taylor expansion of 0 in lambda2
1.997 * [backup-simplify]: Simplify 0 into 0
1.997 * [backup-simplify]: Simplify 0 into 0
1.997 * [backup-simplify]: Simplify (+ 0) into 0
1.997 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 1)) into 0
1.997 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0
1.998 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.998 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 0)) into 0
1.998 * [backup-simplify]: Simplify (- 0) into 0
1.999 * [backup-simplify]: Simplify (+ 0 0) into 0
1.999 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into 0
1.999 * [backup-simplify]: Simplify (+ 0) into 0
1.999 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0
1.999 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0
2.000 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.000 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0
2.000 * [backup-simplify]: Simplify (- 0) into 0
2.000 * [backup-simplify]: Simplify (+ 0 0) into 0
2.001 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) into 0
2.001 * [backup-simplify]: Simplify 0 into 0
2.001 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.002 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0) (+ (* 0 0) (* 0 1))) into 0
2.002 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
2.002 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0
2.002 * [backup-simplify]: Simplify (- 0) into 0
2.002 * [backup-simplify]: Simplify (+ 0 0) into 0
2.003 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.003 * [backup-simplify]: Simplify (+ (* (sin (- (/ 1 lambda2) (/ 1 lambda1))) 0) (+ (* 0 0) (* 0 0))) into 0
2.003 * [backup-simplify]: Simplify (- 0) into 0
2.004 * [backup-simplify]: Simplify (+ 0 0) into 0
2.004 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.005 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
2.005 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
2.005 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.005 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
2.006 * [backup-simplify]: Simplify (- 0) into 0
2.006 * [backup-simplify]: Simplify (+ 0 0) into 0
2.006 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) into 0
2.007 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into 0
2.007 * [taylor]: Taking taylor expansion of 0 in phi2
2.007 * [backup-simplify]: Simplify 0 into 0
2.007 * [taylor]: Taking taylor expansion of 0 in lambda1
2.007 * [backup-simplify]: Simplify 0 into 0
2.007 * [taylor]: Taking taylor expansion of 0 in lambda2
2.007 * [backup-simplify]: Simplify 0 into 0
2.007 * [backup-simplify]: Simplify 0 into 0
2.007 * [taylor]: Taking taylor expansion of 0 in lambda1
2.007 * [backup-simplify]: Simplify 0 into 0
2.007 * [taylor]: Taking taylor expansion of 0 in lambda2
2.007 * [backup-simplify]: Simplify 0 into 0
2.007 * [backup-simplify]: Simplify 0 into 0
2.007 * [backup-simplify]: Simplify (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))))) into (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))
2.007 * * * [progress]: simplifying candidates
2.007 * * * * [progress]: [ 1 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))))))) R))>
2.008 * [simplify]: Simplifying (* (cos lambda1) (cos (- lambda2)))
2.008 * * [simplify]: iters left: 5 (6 enodes)
2.009 * * [simplify]: iters left: 4 (20 enodes)
2.011 * * [simplify]: Extracting #0: cost 1 inf + 0
2.011 * * [simplify]: Extracting #1: cost 4 inf + 0
2.011 * * [simplify]: Extracting #2: cost 9 inf + 0
2.011 * * [simplify]: Extracting #3: cost 5 inf + 165
2.012 * * [simplify]: Extracting #4: cost 0 inf + 652
2.012 * [simplify]: Simplified to (* (cos lambda1) (cos lambda2))
2.012 * [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))
2.012 * * * * [progress]: [ 2 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))))))) R))>
2.012 * [simplify]: Simplifying (* (cos lambda1) (cos (- lambda2)))
2.012 * * [simplify]: iters left: 5 (6 enodes)
2.013 * * [simplify]: iters left: 4 (20 enodes)
2.016 * * [simplify]: Extracting #0: cost 1 inf + 0
2.016 * * [simplify]: Extracting #1: cost 4 inf + 0
2.016 * * [simplify]: Extracting #2: cost 9 inf + 0
2.016 * * [simplify]: Extracting #3: cost 5 inf + 165
2.016 * * [simplify]: Extracting #4: cost 0 inf + 652
2.016 * [simplify]: Simplified to (* (cos lambda1) (cos lambda2))
2.016 * [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))
2.016 * * * * [progress]: [ 3 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
2.017 * [simplify]: Simplifying (* (cos lambda1) (cos lambda2))
2.017 * * [simplify]: iters left: 3 (5 enodes)
2.018 * * [simplify]: iters left: 2 (16 enodes)
2.020 * * [simplify]: Extracting #0: cost 1 inf + 0
2.020 * * [simplify]: Extracting #1: cost 4 inf + 0
2.020 * * [simplify]: Extracting #2: cost 8 inf + 0
2.020 * * [simplify]: Extracting #3: cost 4 inf + 124
2.020 * * [simplify]: Extracting #4: cost 0 inf + 570
2.020 * [simplify]: Simplified to (* (cos lambda2) (cos lambda1))
2.020 * [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))
2.020 * * * * [progress]: [ 4 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (pow (cos (- lambda1 lambda2)) 1)))) R))>
2.020 * * * * [progress]: [ 5 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (exp (log (cos (- lambda1 lambda2))))))) R))>
2.020 * * * * [progress]: [ 6 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (log (exp (cos (- lambda1 lambda2))))))) R))>
2.021 * * * * [progress]: [ 7 / 73 ] simplifiying candidate #<alt (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))>
2.021 * * * * [progress]: [ 8 / 73 ] simplifiying candidate #<alt (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))>
2.021 * * * * [progress]: [ 9 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (* (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))))))) R))>
2.021 * * * * [progress]: [ 10 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (* 1 (cos (- lambda1 lambda2)))))) R))>
2.021 * * * * [progress]: [ 11 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (posit16->real (real->posit16 (cos (- lambda1 lambda2))))))) R))>
2.021 * * * * [progress]: [ 12 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R))>
2.021 * * * * [progress]: [ 13 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 1) R))>
2.021 * * * * [progress]: [ 14 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))>
2.021 * * * * [progress]: [ 15 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))>
2.021 * * * * [progress]: [ 16 / 73 ] simplifiying candidate #<alt (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 (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))>
2.021 * * * * [progress]: [ 17 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))>
2.021 * * * * [progress]: [ 18 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))>
2.021 * * * * [progress]: [ 19 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* 1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R))>
2.021 * * * * [progress]: [ 20 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (posit16->real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))>
2.021 * * * * [progress]: [ 21 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 1))>
2.021 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)
2.021 * * [simplify]: iters left: 6 (17 enodes)
2.026 * * [simplify]: iters left: 5 (60 enodes)
2.034 * * [simplify]: iters left: 4 (71 enodes)
2.043 * * [simplify]: iters left: 3 (76 enodes)
2.052 * * [simplify]: Extracting #0: cost 1 inf + 0
2.052 * * [simplify]: Extracting #1: cost 4 inf + 0
2.052 * * [simplify]: Extracting #2: cost 5 inf + 1
2.052 * * [simplify]: Extracting #3: cost 8 inf + 1
2.053 * * [simplify]: Extracting #4: cost 18 inf + 1
2.053 * * [simplify]: Extracting #5: cost 29 inf + 1
2.053 * * [simplify]: Extracting #6: cost 25 inf + 369
2.053 * * [simplify]: Extracting #7: cost 19 inf + 979
2.053 * * [simplify]: Extracting #8: cost 9 inf + 2522
2.054 * * [simplify]: Extracting #9: cost 0 inf + 6397
2.055 * [simplify]: Simplified to (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))
2.055 * [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))
2.055 * * * * [progress]: [ 22 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 1))>
2.055 * * * * [progress]: [ 23 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log R))))>
2.055 * [simplify]: Simplifying (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log R))
2.055 * * [simplify]: iters left: 6 (19 enodes)
2.059 * * [simplify]: iters left: 5 (66 enodes)
2.068 * * [simplify]: iters left: 4 (77 enodes)
2.078 * * [simplify]: iters left: 3 (82 enodes)
2.088 * * [simplify]: Extracting #0: cost 1 inf + 0
2.088 * * [simplify]: Extracting #1: cost 4 inf + 0
2.088 * * [simplify]: Extracting #2: cost 8 inf + 0
2.088 * * [simplify]: Extracting #3: cost 9 inf + 1
2.088 * * [simplify]: Extracting #4: cost 10 inf + 143
2.088 * * [simplify]: Extracting #5: cost 20 inf + 143
2.088 * * [simplify]: Extracting #6: cost 31 inf + 143
2.088 * * [simplify]: Extracting #7: cost 26 inf + 572
2.088 * * [simplify]: Extracting #8: cost 22 inf + 959
2.089 * * [simplify]: Extracting #9: cost 12 inf + 2825
2.089 * * [simplify]: Extracting #10: cost 3 inf + 5933
2.090 * * [simplify]: Extracting #11: cost 0 inf + 8147
2.091 * [simplify]: Simplified to (+ (log R) (log (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))
2.091 * [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))))))))
2.092 * * * * [progress]: [ 24 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))>
2.092 * * * * [progress]: [ 25 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (log (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))>
2.092 * * * * [progress]: [ 26 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* R R) R))))>
2.092 * [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))
2.092 * * [simplify]: iters left: 6 (21 enodes)
2.100 * * [simplify]: iters left: 5 (78 enodes)
2.124 * * [simplify]: iters left: 4 (118 enodes)
2.165 * * [simplify]: iters left: 3 (178 enodes)
2.227 * * [simplify]: iters left: 2 (254 enodes)
2.329 * * [simplify]: iters left: 1 (411 enodes)
2.472 * * [simplify]: Extracting #0: cost 1 inf + 0
2.472 * * [simplify]: Extracting #1: cost 48 inf + 0
2.472 * * [simplify]: Extracting #2: cost 145 inf + 2
2.473 * * [simplify]: Extracting #3: cost 149 inf + 934
2.474 * * [simplify]: Extracting #4: cost 155 inf + 2154
2.475 * * [simplify]: Extracting #5: cost 161 inf + 3374
2.476 * * [simplify]: Extracting #6: cost 154 inf + 4379
2.479 * * [simplify]: Extracting #7: cost 121 inf + 22485
2.495 * * [simplify]: Extracting #8: cost 48 inf + 88157
2.517 * * [simplify]: Extracting #9: cost 1 inf + 137613
2.550 * * [simplify]: Extracting #10: cost 0 inf + 138710
2.594 * [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)))
2.595 * [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)))))
2.595 * * * * [progress]: [ 27 / 73 ] simplifiying candidate #<alt (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 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))>
2.595 * * * * [progress]: [ 28 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))>
2.596 * * * * [progress]: [ 29 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))>
2.596 * * * * [progress]: [ 30 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)))>
2.596 * * * * [progress]: [ 31 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R))))>
2.596 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R))
2.596 * * [simplify]: iters left: 6 (19 enodes)
2.604 * * [simplify]: iters left: 5 (66 enodes)
2.623 * * [simplify]: iters left: 4 (77 enodes)
2.644 * * [simplify]: iters left: 3 (82 enodes)
2.665 * * [simplify]: Extracting #0: cost 1 inf + 0
2.665 * * [simplify]: Extracting #1: cost 4 inf + 0
2.665 * * [simplify]: Extracting #2: cost 8 inf + 0
2.665 * * [simplify]: Extracting #3: cost 9 inf + 1
2.665 * * [simplify]: Extracting #4: cost 10 inf + 83
2.665 * * [simplify]: Extracting #5: cost 20 inf + 83
2.665 * * [simplify]: Extracting #6: cost 31 inf + 83
2.666 * * [simplify]: Extracting #7: cost 26 inf + 512
2.666 * * [simplify]: Extracting #8: cost 22 inf + 899
2.667 * * [simplify]: Extracting #9: cost 12 inf + 2765
2.668 * * [simplify]: Extracting #10: cost 3 inf + 5843
2.670 * * [simplify]: Extracting #11: cost 0 inf + 7907
2.672 * [simplify]: Simplified to (* (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (sqrt R))
2.672 * [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))))
2.673 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R))
2.673 * * [simplify]: iters left: 6 (19 enodes)
2.681 * * [simplify]: iters left: 5 (66 enodes)
2.700 * * [simplify]: iters left: 4 (77 enodes)
2.719 * * [simplify]: iters left: 3 (82 enodes)
2.728 * * [simplify]: Extracting #0: cost 1 inf + 0
2.728 * * [simplify]: Extracting #1: cost 4 inf + 0
2.728 * * [simplify]: Extracting #2: cost 8 inf + 0
2.728 * * [simplify]: Extracting #3: cost 9 inf + 1
2.729 * * [simplify]: Extracting #4: cost 10 inf + 83
2.729 * * [simplify]: Extracting #5: cost 20 inf + 83
2.729 * * [simplify]: Extracting #6: cost 31 inf + 83
2.729 * * [simplify]: Extracting #7: cost 26 inf + 512
2.729 * * [simplify]: Extracting #8: cost 22 inf + 899
2.729 * * [simplify]: Extracting #9: cost 12 inf + 2765
2.730 * * [simplify]: Extracting #10: cost 3 inf + 5843
2.731 * * [simplify]: Extracting #11: cost 0 inf + 7907
2.732 * [simplify]: Simplified to (* (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (sqrt R))
2.732 * [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))))
2.732 * * * * [progress]: [ 32 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (cbrt R)))>
2.732 * [simplify]: Simplifying (cbrt R)
2.733 * * [simplify]: iters left: 1 (2 enodes)
2.733 * * [simplify]: Extracting #0: cost 1 inf + 0
2.733 * * [simplify]: Extracting #1: cost 3 inf + 0
2.733 * * [simplify]: Extracting #2: cost 2 inf + 1
2.733 * * [simplify]: Extracting #3: cost 0 inf + 163
2.733 * [simplify]: Simplified to (cbrt R)
2.733 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (cbrt R)))
2.733 * * * * [progress]: [ 33 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (sqrt R)))>
2.733 * [simplify]: Simplifying (sqrt R)
2.733 * * [simplify]: iters left: 1 (2 enodes)
2.734 * * [simplify]: Extracting #0: cost 1 inf + 0
2.734 * * [simplify]: Extracting #1: cost 3 inf + 0
2.734 * * [simplify]: Extracting #2: cost 2 inf + 1
2.734 * * [simplify]: Extracting #3: cost 0 inf + 83
2.734 * [simplify]: Simplified to (sqrt R)
2.734 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (sqrt R)))
2.734 * * * * [progress]: [ 34 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 1) R))>
2.734 * * * * [progress]: [ 35 / 73 ] simplifiying candidate #<alt (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 (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R)))>
2.734 * [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)))))))
2.734 * * [simplify]: iters left: 6 (17 enodes)
2.738 * * [simplify]: iters left: 5 (59 enodes)
2.748 * * [simplify]: iters left: 4 (70 enodes)
2.759 * * [simplify]: iters left: 3 (76 enodes)
2.768 * * [simplify]: Extracting #0: cost 1 inf + 0
2.768 * * [simplify]: Extracting #1: cost 3 inf + 0
2.768 * * [simplify]: Extracting #2: cost 5 inf + 0
2.768 * * [simplify]: Extracting #3: cost 7 inf + 0
2.769 * * [simplify]: Extracting #4: cost 10 inf + 0
2.769 * * [simplify]: Extracting #5: cost 20 inf + 0
2.769 * * [simplify]: Extracting #6: cost 31 inf + 0
2.769 * * [simplify]: Extracting #7: cost 27 inf + 368
2.769 * * [simplify]: Extracting #8: cost 21 inf + 978
2.769 * * [simplify]: Extracting #9: cost 10 inf + 2724
2.770 * * [simplify]: Extracting #10: cost 0 inf + 7902
2.771 * [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))))))
2.771 * [simplify]: Simplified (2 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)))
2.771 * * * * [progress]: [ 36 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R)))>
2.771 * [simplify]: Simplifying (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))
2.772 * * [simplify]: iters left: 6 (16 enodes)
2.775 * * [simplify]: iters left: 5 (56 enodes)
2.785 * * [simplify]: iters left: 4 (67 enodes)
2.803 * * [simplify]: iters left: 3 (73 enodes)
2.812 * * [simplify]: Extracting #0: cost 1 inf + 0
2.812 * * [simplify]: Extracting #1: cost 3 inf + 0
2.812 * * [simplify]: Extracting #2: cost 5 inf + 0
2.812 * * [simplify]: Extracting #3: cost 8 inf + 0
2.812 * * [simplify]: Extracting #4: cost 18 inf + 0
2.812 * * [simplify]: Extracting #5: cost 29 inf + 0
2.812 * * [simplify]: Extracting #6: cost 26 inf + 307
2.812 * * [simplify]: Extracting #7: cost 20 inf + 816
2.813 * * [simplify]: Extracting #8: cost 8 inf + 2825
2.813 * * [simplify]: Extracting #9: cost 1 inf + 5760
2.814 * * [simplify]: Extracting #10: cost 0 inf + 6394
2.815 * [simplify]: Simplified to (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))
2.815 * [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 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R)))
2.815 * * * * [progress]: [ 37 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)))>
2.815 * * * * [progress]: [ 38 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (posit16->real (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))>
2.815 * * * * [progress]: [ 39 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))))>
2.815 * * * * [progress]: [ 40 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (pow (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) 1))) R))>
2.815 * [simplify]: Simplifying (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))
2.815 * * [simplify]: iters left: 5 (10 enodes)
2.817 * * [simplify]: iters left: 4 (36 enodes)
2.822 * * [simplify]: iters left: 3 (47 enodes)
2.828 * * [simplify]: iters left: 2 (52 enodes)
2.836 * * [simplify]: Extracting #0: cost 1 inf + 0
2.836 * * [simplify]: Extracting #1: cost 8 inf + 0
2.836 * * [simplify]: Extracting #2: cost 17 inf + 0
2.836 * * [simplify]: Extracting #3: cost 18 inf + 63
2.836 * * [simplify]: Extracting #4: cost 14 inf + 228
2.837 * * [simplify]: Extracting #5: cost 7 inf + 900
2.838 * * [simplify]: Extracting #6: cost 0 inf + 2362
2.838 * [simplify]: Simplified to (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))
2.838 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (pow (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)) 1))) R))
2.839 * * * * [progress]: [ 41 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (pow (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) 1))) R))>
2.839 * [simplify]: Simplifying (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))
2.839 * * [simplify]: iters left: 5 (10 enodes)
2.841 * * [simplify]: iters left: 4 (36 enodes)
2.846 * * [simplify]: iters left: 3 (47 enodes)
2.852 * * [simplify]: iters left: 2 (52 enodes)
2.858 * * [simplify]: Extracting #0: cost 1 inf + 0
2.858 * * [simplify]: Extracting #1: cost 8 inf + 0
2.858 * * [simplify]: Extracting #2: cost 17 inf + 0
2.858 * * [simplify]: Extracting #3: cost 18 inf + 63
2.858 * * [simplify]: Extracting #4: cost 14 inf + 228
2.858 * * [simplify]: Extracting #5: cost 7 inf + 900
2.858 * * [simplify]: Extracting #6: cost 0 inf + 2362
2.859 * [simplify]: Simplified to (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))
2.859 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (pow (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)) 1))) R))
2.859 * * * * [progress]: [ 42 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (pow (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) 1))) R))>
2.859 * * * * [progress]: [ 43 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (exp (+ (+ (log (cos phi1)) (log (cos phi2))) (log (cos (- lambda1 lambda2))))))) R))>
2.859 * [simplify]: Simplifying (+ (+ (log (cos phi1)) (log (cos phi2))) (log (cos (- lambda1 lambda2))))
2.859 * * [simplify]: iters left: 6 (13 enodes)
2.862 * * [simplify]: iters left: 5 (45 enodes)
2.868 * * [simplify]: iters left: 4 (56 enodes)
2.883 * * [simplify]: iters left: 3 (61 enodes)
2.899 * * [simplify]: Extracting #0: cost 1 inf + 0
2.899 * * [simplify]: Extracting #1: cost 8 inf + 0
2.899 * * [simplify]: Extracting #2: cost 17 inf + 0
2.899 * * [simplify]: Extracting #3: cost 23 inf + 0
2.899 * * [simplify]: Extracting #4: cost 25 inf + 2
2.899 * * [simplify]: Extracting #5: cost 20 inf + 299
2.900 * * [simplify]: Extracting #6: cost 4 inf + 2947
2.901 * * [simplify]: Extracting #7: cost 0 inf + 4490
2.902 * [simplify]: Simplified to (+ (+ (log (cos phi2)) (log (cos phi1))) (log (cos (- lambda1 lambda2))))
2.902 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (exp (+ (+ (log (cos phi2)) (log (cos phi1))) (log (cos (- lambda1 lambda2))))))) R))
2.903 * * * * [progress]: [ 44 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (exp (+ (log (* (cos phi1) (cos phi2))) (log (cos (- lambda1 lambda2))))))) R))>
2.903 * [simplify]: Simplifying (+ (log (* (cos phi1) (cos phi2))) (log (cos (- lambda1 lambda2))))
2.903 * * [simplify]: iters left: 6 (12 enodes)
2.908 * * [simplify]: iters left: 5 (43 enodes)
2.920 * * [simplify]: iters left: 4 (55 enodes)
2.934 * * [simplify]: iters left: 3 (64 enodes)
2.950 * * [simplify]: Extracting #0: cost 1 inf + 0
2.950 * * [simplify]: Extracting #1: cost 8 inf + 0
2.950 * * [simplify]: Extracting #2: cost 18 inf + 0
2.950 * * [simplify]: Extracting #3: cost 25 inf + 0
2.950 * * [simplify]: Extracting #4: cost 23 inf + 316
2.950 * * [simplify]: Extracting #5: cost 13 inf + 1351
2.951 * * [simplify]: Extracting #6: cost 2 inf + 3747
2.953 * * [simplify]: Extracting #7: cost 0 inf + 4534
2.954 * [simplify]: Simplified to (+ (log (cos (- lambda1 lambda2))) (log (* (cos phi2) (cos phi1))))
2.954 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (exp (+ (log (cos (- lambda1 lambda2))) (log (* (cos phi2) (cos phi1))))))) R))
2.954 * * * * [progress]: [ 45 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (exp (log (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))>
2.954 * * * * [progress]: [ 46 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (log (exp (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))>
2.954 * * * * [progress]: [ 47 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (cbrt (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))))))) R))>
2.955 * [simplify]: Simplifying (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))))
2.955 * * [simplify]: iters left: 6 (16 enodes)
2.963 * * [simplify]: iters left: 5 (63 enodes)
2.984 * * [simplify]: iters left: 4 (139 enodes)
3.052 * * [simplify]: iters left: 3 (395 enodes)
3.361 * * [simplify]: Extracting #0: cost 1 inf + 0
3.362 * * [simplify]: Extracting #1: cost 87 inf + 0
3.364 * * [simplify]: Extracting #2: cost 274 inf + 0
3.366 * * [simplify]: Extracting #3: cost 259 inf + 2435
3.372 * * [simplify]: Extracting #4: cost 223 inf + 13037
3.378 * * [simplify]: Extracting #5: cost 176 inf + 29070
3.399 * * [simplify]: Extracting #6: cost 21 inf + 93374
3.428 * * [simplify]: Extracting #7: cost 0 inf + 99655
3.453 * * [simplify]: Extracting #8: cost 0 inf + 99135
3.495 * [simplify]: Simplified to (* (* (cos phi2) (cos phi1)) (* (* (* (cos phi2) (cos phi1)) (* (cos phi2) (cos phi1))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2)))))
3.496 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (cbrt (* (* (cos phi2) (cos phi1)) (* (* (* (cos phi2) (cos phi1)) (* (cos phi2) (cos phi1))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2)))))))) R))
3.496 * * * * [progress]: [ 48 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (cbrt (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))))))) R))>
3.496 * [simplify]: Simplifying (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))))
3.496 * * [simplify]: iters left: 6 (14 enodes)
3.503 * * [simplify]: iters left: 5 (61 enodes)
3.523 * * [simplify]: iters left: 4 (146 enodes)
3.561 * * [simplify]: iters left: 3 (447 enodes)
3.932 * * [simplify]: Extracting #0: cost 1 inf + 0
3.932 * * [simplify]: Extracting #1: cost 79 inf + 0
3.935 * * [simplify]: Extracting #2: cost 211 inf + 1
3.937 * * [simplify]: Extracting #3: cost 198 inf + 2589
3.948 * * [simplify]: Extracting #4: cost 112 inf + 31465
3.970 * * [simplify]: Extracting #5: cost 12 inf + 68214
4.002 * * [simplify]: Extracting #6: cost 0 inf + 71959
4.042 * * [simplify]: Extracting #7: cost 0 inf + 71759
4.082 * * [simplify]: Extracting #8: cost 0 inf + 71719
4.121 * [simplify]: Simplified to (* (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)) (* (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))))
4.122 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (cbrt (* (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)) (* (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))))))) R))
4.122 * * * * [progress]: [ 49 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))>
4.122 * * * * [progress]: [ 50 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (cbrt (* (* (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))>
4.122 * * * * [progress]: [ 51 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (sqrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (sqrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))>
4.122 * * * * [progress]: [ 52 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* 1 (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R))>
4.122 * * * * [progress]: [ 53 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))>
4.123 * [simplify]: Simplifying (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))
4.123 * * [simplify]: iters left: 5 (11 enodes)
4.127 * * [simplify]: iters left: 4 (40 enodes)
4.138 * * [simplify]: iters left: 3 (63 enodes)
4.147 * * [simplify]: iters left: 2 (101 enodes)
4.161 * * [simplify]: iters left: 1 (122 enodes)
4.182 * * [simplify]: Extracting #0: cost 1 inf + 0
4.182 * * [simplify]: Extracting #1: cost 16 inf + 0
4.182 * * [simplify]: Extracting #2: cost 34 inf + 0
4.182 * * [simplify]: Extracting #3: cost 27 inf + 187
4.183 * * [simplify]: Extracting #4: cost 8 inf + 3366
4.185 * * [simplify]: Extracting #5: cost 0 inf + 5268
4.188 * [simplify]: Simplified to (* (* (cos phi1) (* (sin lambda2) (cos phi2))) (sin lambda1))
4.188 * [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) (cos lambda2))) (* (* (cos phi1) (* (sin lambda2) (cos phi2))) (sin lambda1))))) R))
4.188 * * * * [progress]: [ 54 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
4.188 * [simplify]: Simplifying (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))
4.189 * * [simplify]: iters left: 5 (11 enodes)
4.194 * * [simplify]: iters left: 4 (40 enodes)
4.205 * * [simplify]: iters left: 3 (63 enodes)
4.227 * * [simplify]: iters left: 2 (101 enodes)
4.256 * * [simplify]: iters left: 1 (122 enodes)
4.270 * * [simplify]: Extracting #0: cost 1 inf + 0
4.270 * * [simplify]: Extracting #1: cost 16 inf + 0
4.270 * * [simplify]: Extracting #2: cost 34 inf + 0
4.270 * * [simplify]: Extracting #3: cost 27 inf + 187
4.270 * * [simplify]: Extracting #4: cost 8 inf + 3366
4.272 * * [simplify]: Extracting #5: cost 0 inf + 5268
4.272 * [simplify]: Simplified to (* (* (sin lambda1) (* (cos phi2) (sin lambda2))) (cos phi1))
4.273 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (* (cos phi2) (sin lambda2))) (cos phi1))))) R))
4.273 * * * * [progress]: [ 55 / 73 ] simplifiying candidate #<alt (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))>
4.273 * [simplify]: Simplifying (cbrt (cos (- lambda1 lambda2)))
4.273 * * [simplify]: iters left: 4 (5 enodes)
4.274 * * [simplify]: iters left: 3 (17 enodes)
4.276 * * [simplify]: iters left: 2 (20 enodes)
4.278 * * [simplify]: Extracting #0: cost 1 inf + 0
4.278 * * [simplify]: Extracting #1: cost 3 inf + 0
4.278 * * [simplify]: Extracting #2: cost 5 inf + 0
4.278 * * [simplify]: Extracting #3: cost 9 inf + 0
4.279 * * [simplify]: Extracting #4: cost 7 inf + 43
4.279 * * [simplify]: Extracting #5: cost 0 inf + 736
4.279 * [simplify]: Simplified to (cbrt (cos (- lambda1 lambda2)))
4.279 * [simplify]: Simplified (2 1 1 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))
4.279 * * * * [progress]: [ 56 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (* (cos phi1) (cos phi2)) (sqrt (cos (- lambda1 lambda2)))) (sqrt (cos (- lambda1 lambda2)))))) R))>
4.279 * [simplify]: Simplifying (sqrt (cos (- lambda1 lambda2)))
4.279 * * [simplify]: iters left: 4 (5 enodes)
4.280 * * [simplify]: iters left: 3 (17 enodes)
4.282 * * [simplify]: iters left: 2 (20 enodes)
4.285 * * [simplify]: Extracting #0: cost 1 inf + 0
4.285 * * [simplify]: Extracting #1: cost 3 inf + 0
4.285 * * [simplify]: Extracting #2: cost 5 inf + 0
4.285 * * [simplify]: Extracting #3: cost 9 inf + 0
4.285 * * [simplify]: Extracting #4: cost 7 inf + 43
4.285 * * [simplify]: Extracting #5: cost 0 inf + 656
4.285 * [simplify]: Simplified to (sqrt (cos (- lambda1 lambda2)))
4.285 * [simplify]: Simplified (2 1 1 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))
4.285 * * * * [progress]: [ 57 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (* (cos phi1) (cos phi2)) 1) (cos (- lambda1 lambda2))))) R))>
4.286 * [simplify]: Simplifying (cos (- lambda1 lambda2))
4.286 * * [simplify]: iters left: 3 (4 enodes)
4.287 * * [simplify]: iters left: 2 (14 enodes)
4.290 * * [simplify]: iters left: 1 (17 enodes)
4.294 * * [simplify]: Extracting #0: cost 1 inf + 0
4.294 * * [simplify]: Extracting #1: cost 3 inf + 0
4.294 * * [simplify]: Extracting #2: cost 7 inf + 0
4.294 * * [simplify]: Extracting #3: cost 5 inf + 43
4.294 * * [simplify]: Extracting #4: cost 0 inf + 372
4.294 * [simplify]: Simplified to (cos (- lambda1 lambda2))
4.295 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (* (cos phi1) (cos phi2)) 1) (cos (- lambda1 lambda2))))) R))
4.295 * * * * [progress]: [ 58 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))) R))>
4.295 * [simplify]: Simplifying (cos phi1)
4.295 * * [simplify]: iters left: 1 (2 enodes)
4.296 * * [simplify]: Extracting #0: cost 1 inf + 0
4.296 * * [simplify]: Extracting #1: cost 3 inf + 0
4.296 * * [simplify]: Extracting #2: cost 2 inf + 1
4.296 * * [simplify]: Extracting #3: cost 0 inf + 123
4.296 * [simplify]: Simplified to (cos phi1)
4.296 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))) R))
4.296 * * * * [progress]: [ 59 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (cos (- lambda1 lambda2))) 2))) R))>
4.297 * [simplify]: Simplifying (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (cos (- lambda1 lambda2)))
4.297 * * [simplify]: iters left: 6 (12 enodes)
4.302 * * [simplify]: iters left: 5 (43 enodes)
4.311 * * [simplify]: iters left: 4 (57 enodes)
4.319 * * [simplify]: iters left: 3 (65 enodes)
4.326 * * [simplify]: Extracting #0: cost 1 inf + 0
4.326 * * [simplify]: Extracting #1: cost 6 inf + 0
4.326 * * [simplify]: Extracting #2: cost 13 inf + 0
4.326 * * [simplify]: Extracting #3: cost 21 inf + 0
4.326 * * [simplify]: Extracting #4: cost 22 inf + 127
4.326 * * [simplify]: Extracting #5: cost 18 inf + 374
4.326 * * [simplify]: Extracting #6: cost 9 inf + 1193
4.327 * * [simplify]: Extracting #7: cost 2 inf + 2632
4.327 * * [simplify]: Extracting #8: cost 0 inf + 3260
4.328 * [simplify]: Simplified to (* (cos (- lambda1 lambda2)) (+ (cos (+ phi2 phi1)) (cos (- phi1 phi2))))
4.328 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (cos (- lambda1 lambda2)) (+ (cos (+ phi2 phi1)) (cos (- phi1 phi2)))) 2))) R))
4.328 * * * * [progress]: [ 60 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (posit16->real (real->posit16 (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))>
4.328 * * * * [progress]: [ 61 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R))>
4.328 * * * * [progress]: [ 62 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2)))))) R))>
4.328 * [simplify]: Simplifying (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2)))
4.328 * * [simplify]: iters left: 6 (10 enodes)
4.332 * * [simplify]: iters left: 5 (43 enodes)
4.339 * * [simplify]: iters left: 4 (68 enodes)
4.361 * * [simplify]: iters left: 3 (99 enodes)
4.377 * * [simplify]: iters left: 2 (121 enodes)
4.393 * * [simplify]: iters left: 1 (130 enodes)
4.411 * * [simplify]: Extracting #0: cost 1 inf + 0
4.411 * * [simplify]: Extracting #1: cost 15 inf + 0
4.411 * * [simplify]: Extracting #2: cost 30 inf + 2
4.411 * * [simplify]: Extracting #3: cost 30 inf + 130
4.412 * * [simplify]: Extracting #4: cost 12 inf + 1530
4.413 * * [simplify]: Extracting #5: cost 1 inf + 2680
4.414 * * [simplify]: Extracting #6: cost 0 inf + 2843
4.414 * [simplify]: Simplified to (+ (* (+ (* lambda1 -1/2) lambda2) lambda1) 1)
4.414 * [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))
4.414 * * * * [progress]: [ 63 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
4.415 * [simplify]: Simplifying (cos (- lambda1 lambda2))
4.415 * * [simplify]: iters left: 3 (4 enodes)
4.416 * * [simplify]: iters left: 2 (14 enodes)
4.418 * * [simplify]: iters left: 1 (17 enodes)
4.420 * * [simplify]: Extracting #0: cost 1 inf + 0
4.420 * * [simplify]: Extracting #1: cost 3 inf + 0
4.420 * * [simplify]: Extracting #2: cost 7 inf + 0
4.420 * * [simplify]: Extracting #3: cost 5 inf + 43
4.420 * * [simplify]: Extracting #4: cost 0 inf + 372
4.420 * [simplify]: Simplified to (cos (- lambda1 lambda2))
4.420 * [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))
4.420 * * * * [progress]: [ 64 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
4.421 * [simplify]: Simplifying (cos (- lambda1 lambda2))
4.421 * * [simplify]: iters left: 3 (4 enodes)
4.421 * * [simplify]: iters left: 2 (14 enodes)
4.423 * * [simplify]: iters left: 1 (17 enodes)
4.425 * * [simplify]: Extracting #0: cost 1 inf + 0
4.425 * * [simplify]: Extracting #1: cost 3 inf + 0
4.425 * * [simplify]: Extracting #2: cost 7 inf + 0
4.426 * * [simplify]: Extracting #3: cost 5 inf + 43
4.426 * * [simplify]: Extracting #4: cost 0 inf + 372
4.426 * [simplify]: Simplified to (cos (- lambda1 lambda2))
4.426 * [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))
4.426 * * * * [progress]: [ 65 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R))>
4.426 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
4.426 * * [simplify]: iters left: 6 (15 enodes)
4.429 * * [simplify]: iters left: 5 (53 enodes)
4.436 * * [simplify]: iters left: 4 (64 enodes)
4.450 * * [simplify]: iters left: 3 (69 enodes)
4.467 * * [simplify]: Extracting #0: cost 1 inf + 0
4.467 * * [simplify]: Extracting #1: cost 3 inf + 0
4.467 * * [simplify]: Extracting #2: cost 6 inf + 0
4.467 * * [simplify]: Extracting #3: cost 16 inf + 0
4.467 * * [simplify]: Extracting #4: cost 27 inf + 0
4.467 * * [simplify]: Extracting #5: cost 24 inf + 307
4.468 * * [simplify]: Extracting #6: cost 10 inf + 2175
4.468 * * [simplify]: Extracting #7: cost 0 inf + 5126
4.469 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))
4.469 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
4.469 * * * * [progress]: [ 66 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R))>
4.469 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
4.469 * * [simplify]: iters left: 6 (15 enodes)
4.472 * * [simplify]: iters left: 5 (53 enodes)
4.479 * * [simplify]: iters left: 4 (64 enodes)
4.487 * * [simplify]: iters left: 3 (69 enodes)
4.497 * * [simplify]: Extracting #0: cost 1 inf + 0
4.497 * * [simplify]: Extracting #1: cost 3 inf + 0
4.497 * * [simplify]: Extracting #2: cost 6 inf + 0
4.497 * * [simplify]: Extracting #3: cost 16 inf + 0
4.497 * * [simplify]: Extracting #4: cost 27 inf + 0
4.497 * * [simplify]: Extracting #5: cost 24 inf + 307
4.497 * * [simplify]: Extracting #6: cost 10 inf + 2175
4.498 * * [simplify]: Extracting #7: cost 0 inf + 5126
4.499 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))
4.499 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
4.499 * * * * [progress]: [ 67 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R))>
4.499 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
4.499 * * [simplify]: iters left: 6 (15 enodes)
4.503 * * [simplify]: iters left: 5 (53 enodes)
4.510 * * [simplify]: iters left: 4 (64 enodes)
4.518 * * [simplify]: iters left: 3 (69 enodes)
4.535 * * [simplify]: Extracting #0: cost 1 inf + 0
4.535 * * [simplify]: Extracting #1: cost 3 inf + 0
4.535 * * [simplify]: Extracting #2: cost 6 inf + 0
4.535 * * [simplify]: Extracting #3: cost 16 inf + 0
4.536 * * [simplify]: Extracting #4: cost 27 inf + 0
4.536 * * [simplify]: Extracting #5: cost 24 inf + 307
4.536 * * [simplify]: Extracting #6: cost 10 inf + 2175
4.538 * * [simplify]: Extracting #7: cost 0 inf + 5126
4.539 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))
4.539 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
4.540 * * * * [progress]: [ 68 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R))>
4.540 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
4.540 * * [simplify]: iters left: 6 (17 enodes)
4.547 * * [simplify]: iters left: 5 (60 enodes)
4.564 * * [simplify]: iters left: 4 (71 enodes)
4.582 * * [simplify]: iters left: 3 (76 enodes)
4.601 * * [simplify]: Extracting #0: cost 1 inf + 0
4.601 * * [simplify]: Extracting #1: cost 4 inf + 0
4.601 * * [simplify]: Extracting #2: cost 5 inf + 1
4.601 * * [simplify]: Extracting #3: cost 8 inf + 1
4.601 * * [simplify]: Extracting #4: cost 18 inf + 1
4.601 * * [simplify]: Extracting #5: cost 29 inf + 1
4.602 * * [simplify]: Extracting #6: cost 26 inf + 308
4.602 * * [simplify]: Extracting #7: cost 15 inf + 1931
4.605 * * [simplify]: Extracting #8: cost 2 inf + 5991
4.607 * * [simplify]: Extracting #9: cost 0 inf + 6397
4.608 * [simplify]: Simplified to (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))
4.608 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))))
4.608 * * * * [progress]: [ 69 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R))>
4.609 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
4.609 * * [simplify]: iters left: 6 (17 enodes)
4.614 * * [simplify]: iters left: 5 (60 enodes)
4.621 * * [simplify]: iters left: 4 (71 enodes)
4.631 * * [simplify]: iters left: 3 (76 enodes)
4.640 * * [simplify]: Extracting #0: cost 1 inf + 0
4.640 * * [simplify]: Extracting #1: cost 4 inf + 0
4.640 * * [simplify]: Extracting #2: cost 5 inf + 1
4.640 * * [simplify]: Extracting #3: cost 8 inf + 1
4.640 * * [simplify]: Extracting #4: cost 18 inf + 1
4.640 * * [simplify]: Extracting #5: cost 29 inf + 1
4.640 * * [simplify]: Extracting #6: cost 26 inf + 308
4.640 * * [simplify]: Extracting #7: cost 15 inf + 1931
4.641 * * [simplify]: Extracting #8: cost 2 inf + 5991
4.642 * * [simplify]: Extracting #9: cost 0 inf + 6397
4.643 * [simplify]: Simplified to (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))
4.643 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))))
4.643 * * * * [progress]: [ 70 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R))>
4.643 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
4.643 * * [simplify]: iters left: 6 (17 enodes)
4.647 * * [simplify]: iters left: 5 (60 enodes)
4.654 * * [simplify]: iters left: 4 (71 enodes)
4.663 * * [simplify]: iters left: 3 (76 enodes)
4.673 * * [simplify]: Extracting #0: cost 1 inf + 0
4.673 * * [simplify]: Extracting #1: cost 4 inf + 0
4.673 * * [simplify]: Extracting #2: cost 5 inf + 1
4.673 * * [simplify]: Extracting #3: cost 8 inf + 1
4.673 * * [simplify]: Extracting #4: cost 18 inf + 1
4.673 * * [simplify]: Extracting #5: cost 29 inf + 1
4.673 * * [simplify]: Extracting #6: cost 26 inf + 308
4.674 * * [simplify]: Extracting #7: cost 15 inf + 1931
4.675 * * [simplify]: Extracting #8: cost 2 inf + 5991
4.677 * * [simplify]: Extracting #9: cost 0 inf + 6397
4.679 * [simplify]: Simplified to (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))
4.679 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))))
4.679 * * * * [progress]: [ 71 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (- 1 (+ (* 1/2 (pow phi2 2)) (* 1/2 (pow phi1 2)))))) R))>
4.679 * [simplify]: Simplifying (- 1 (+ (* 1/2 (pow phi2 2)) (* 1/2 (pow phi1 2))))
4.679 * * [simplify]: iters left: 6 (11 enodes)
4.687 * * [simplify]: iters left: 5 (51 enodes)
4.702 * * [simplify]: iters left: 4 (84 enodes)
4.715 * * [simplify]: iters left: 3 (144 enodes)
4.738 * * [simplify]: iters left: 2 (197 enodes)
4.786 * * [simplify]: iters left: 1 (241 enodes)
4.830 * * [simplify]: Extracting #0: cost 1 inf + 0
4.830 * * [simplify]: Extracting #1: cost 16 inf + 0
4.830 * * [simplify]: Extracting #2: cost 45 inf + 2
4.830 * * [simplify]: Extracting #3: cost 49 inf + 332
4.831 * * [simplify]: Extracting #4: cost 16 inf + 3195
4.833 * * [simplify]: Extracting #5: cost 1 inf + 5438
4.834 * * [simplify]: Extracting #6: cost 0 inf + 5561
4.836 * [simplify]: Simplified to (- (* -1/2 (+ (* phi1 phi1) (* phi2 phi2))) -1)
4.836 * [simplify]: Simplified (2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (- (* -1/2 (+ (* phi1 phi1) (* phi2 phi2))) -1))) R))
4.836 * * * * [progress]: [ 72 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R))>
4.837 * [simplify]: Simplifying (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))
4.837 * * [simplify]: iters left: 6 (10 enodes)
4.841 * * [simplify]: iters left: 5 (36 enodes)
4.852 * * [simplify]: iters left: 4 (47 enodes)
4.864 * * [simplify]: iters left: 3 (52 enodes)
4.879 * * [simplify]: Extracting #0: cost 1 inf + 0
4.879 * * [simplify]: Extracting #1: cost 8 inf + 0
4.879 * * [simplify]: Extracting #2: cost 17 inf + 0
4.880 * * [simplify]: Extracting #3: cost 17 inf + 124
4.880 * * [simplify]: Extracting #4: cost 15 inf + 187
4.880 * * [simplify]: Extracting #5: cost 4 inf + 1550
4.881 * * [simplify]: Extracting #6: cost 0 inf + 2362
4.882 * [simplify]: Simplified to (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))
4.882 * [simplify]: Simplified (2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
4.882 * * * * [progress]: [ 73 / 73 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R))>
4.882 * [simplify]: Simplifying (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))
4.882 * * [simplify]: iters left: 6 (10 enodes)
4.887 * * [simplify]: iters left: 5 (36 enodes)
4.894 * * [simplify]: iters left: 4 (47 enodes)
4.900 * * [simplify]: iters left: 3 (52 enodes)
4.906 * * [simplify]: Extracting #0: cost 1 inf + 0
4.906 * * [simplify]: Extracting #1: cost 8 inf + 0
4.906 * * [simplify]: Extracting #2: cost 17 inf + 0
4.906 * * [simplify]: Extracting #3: cost 17 inf + 124
4.906 * * [simplify]: Extracting #4: cost 15 inf + 187
4.906 * * [simplify]: Extracting #5: cost 4 inf + 1550
4.906 * * [simplify]: Extracting #6: cost 0 inf + 2362
4.907 * [simplify]: Simplified to (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))
4.907 * [simplify]: Simplified (2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
4.907 * * * [progress]: adding candidates to table
6.092 * * [progress]: iteration 2 / 4
6.092 * * * [progress]: picking best candidate
6.218 * * * * [pick]: Picked  #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
6.218 * * * [progress]: localizing error
6.312 * * * [progress]: generating rewritten candidates
6.312 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
6.316 * * * * [progress]: [ 2 / 4 ] rewriting at (2)
6.328 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1)
6.407 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1)
6.420 * * * [progress]: generating series expansions
6.420 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
6.421 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
6.421 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0
6.421 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
6.421 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
6.421 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
6.422 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
6.422 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
6.422 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
6.422 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
6.422 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
6.422 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
6.422 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
6.423 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
6.423 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
6.423 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
6.423 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
6.423 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
6.423 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
6.424 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
6.424 * [taylor]: Taking taylor expansion of 0 in phi2
6.424 * [backup-simplify]: Simplify 0 into 0
6.424 * [taylor]: Taking taylor expansion of 0 in lambda1
6.424 * [backup-simplify]: Simplify 0 into 0
6.424 * [taylor]: Taking taylor expansion of 0 in lambda2
6.424 * [backup-simplify]: Simplify 0 into 0
6.424 * [backup-simplify]: Simplify 0 into 0
6.424 * [taylor]: Taking taylor expansion of 0 in lambda1
6.424 * [backup-simplify]: Simplify 0 into 0
6.424 * [taylor]: Taking taylor expansion of 0 in lambda2
6.424 * [backup-simplify]: Simplify 0 into 0
6.424 * [backup-simplify]: Simplify 0 into 0
6.424 * [taylor]: Taking taylor expansion of 0 in lambda2
6.424 * [backup-simplify]: Simplify 0 into 0
6.424 * [backup-simplify]: Simplify 0 into 0
6.424 * [backup-simplify]: Simplify 0 into 0
6.424 * [taylor]: Taking taylor expansion of 0 in phi2
6.424 * [backup-simplify]: Simplify 0 into 0
6.424 * [taylor]: Taking taylor expansion of 0 in lambda1
6.424 * [backup-simplify]: Simplify 0 into 0
6.424 * [taylor]: Taking taylor expansion of 0 in lambda2
6.424 * [backup-simplify]: Simplify 0 into 0
6.424 * [backup-simplify]: Simplify 0 into 0
6.424 * [taylor]: Taking taylor expansion of 0 in lambda1
6.424 * [backup-simplify]: Simplify 0 into 0
6.424 * [taylor]: Taking taylor expansion of 0 in lambda2
6.424 * [backup-simplify]: Simplify 0 into 0
6.424 * [backup-simplify]: Simplify 0 into 0
6.425 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
6.425 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (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))))))
6.425 * [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 (phi1 phi2 lambda1 lambda2) around 0
6.425 * [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
6.425 * [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))))))
6.425 * [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
6.426 * [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))))))
6.426 * [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
6.426 * [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))))))
6.426 * [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
6.427 * [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))))))
6.427 * [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
6.427 * [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))))))
6.427 * [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
6.428 * [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))))))
6.428 * [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
6.428 * [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))))))
6.428 * [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
6.428 * [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))))))
6.429 * [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))))))
6.429 * [taylor]: Taking taylor expansion of 0 in phi2
6.429 * [backup-simplify]: Simplify 0 into 0
6.429 * [taylor]: Taking taylor expansion of 0 in lambda1
6.429 * [backup-simplify]: Simplify 0 into 0
6.429 * [taylor]: Taking taylor expansion of 0 in lambda2
6.429 * [backup-simplify]: Simplify 0 into 0
6.429 * [backup-simplify]: Simplify 0 into 0
6.429 * [taylor]: Taking taylor expansion of 0 in lambda1
6.429 * [backup-simplify]: Simplify 0 into 0
6.429 * [taylor]: Taking taylor expansion of 0 in lambda2
6.429 * [backup-simplify]: Simplify 0 into 0
6.429 * [backup-simplify]: Simplify 0 into 0
6.429 * [taylor]: Taking taylor expansion of 0 in lambda2
6.429 * [backup-simplify]: Simplify 0 into 0
6.429 * [backup-simplify]: Simplify 0 into 0
6.429 * [backup-simplify]: Simplify 0 into 0
6.429 * [taylor]: Taking taylor expansion of 0 in phi2
6.429 * [backup-simplify]: Simplify 0 into 0
6.429 * [taylor]: Taking taylor expansion of 0 in lambda1
6.429 * [backup-simplify]: Simplify 0 into 0
6.429 * [taylor]: Taking taylor expansion of 0 in lambda2
6.429 * [backup-simplify]: Simplify 0 into 0
6.429 * [backup-simplify]: Simplify 0 into 0
6.429 * [taylor]: Taking taylor expansion of 0 in lambda1
6.430 * [backup-simplify]: Simplify 0 into 0
6.430 * [taylor]: Taking taylor expansion of 0 in lambda2
6.430 * [backup-simplify]: Simplify 0 into 0
6.430 * [backup-simplify]: Simplify 0 into 0
6.430 * [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)))))
6.431 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (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))))))))
6.431 * [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
6.431 * [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
6.431 * [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))))))))
6.431 * [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
6.431 * [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))))))))
6.431 * [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
6.432 * [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))))))))
6.432 * [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
6.432 * [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))))))))
6.432 * [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
6.433 * [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))))))))
6.433 * [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
6.433 * [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))))))))
6.433 * [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
6.434 * [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))))))))
6.434 * [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
6.434 * [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))))))))
6.434 * [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))))))))
6.435 * [taylor]: Taking taylor expansion of 0 in phi2
6.435 * [backup-simplify]: Simplify 0 into 0
6.435 * [taylor]: Taking taylor expansion of 0 in lambda1
6.435 * [backup-simplify]: Simplify 0 into 0
6.435 * [taylor]: Taking taylor expansion of 0 in lambda2
6.435 * [backup-simplify]: Simplify 0 into 0
6.435 * [backup-simplify]: Simplify 0 into 0
6.435 * [taylor]: Taking taylor expansion of 0 in lambda1
6.435 * [backup-simplify]: Simplify 0 into 0
6.435 * [taylor]: Taking taylor expansion of 0 in lambda2
6.435 * [backup-simplify]: Simplify 0 into 0
6.435 * [backup-simplify]: Simplify 0 into 0
6.435 * [taylor]: Taking taylor expansion of 0 in lambda2
6.435 * [backup-simplify]: Simplify 0 into 0
6.435 * [backup-simplify]: Simplify 0 into 0
6.435 * [backup-simplify]: Simplify 0 into 0
6.435 * [taylor]: Taking taylor expansion of 0 in phi2
6.435 * [backup-simplify]: Simplify 0 into 0
6.435 * [taylor]: Taking taylor expansion of 0 in lambda1
6.435 * [backup-simplify]: Simplify 0 into 0
6.435 * [taylor]: Taking taylor expansion of 0 in lambda2
6.435 * [backup-simplify]: Simplify 0 into 0
6.435 * [backup-simplify]: Simplify 0 into 0
6.435 * [taylor]: Taking taylor expansion of 0 in lambda1
6.435 * [backup-simplify]: Simplify 0 into 0
6.435 * [taylor]: Taking taylor expansion of 0 in lambda2
6.435 * [backup-simplify]: Simplify 0 into 0
6.435 * [backup-simplify]: Simplify 0 into 0
6.436 * [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)))))
6.436 * * * * [progress]: [ 2 / 4 ] generating series at (2)
6.436 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
6.436 * [approximate]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in (phi1 phi2 lambda1 lambda2 R) around 0
6.436 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in R
6.436 * [taylor]: Taking taylor expansion of R in R
6.436 * [backup-simplify]: Simplify 0 into 0
6.436 * [backup-simplify]: Simplify 1 into 1
6.436 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in R
6.436 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
6.436 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
6.437 * [taylor]: Taking taylor expansion of R in lambda2
6.437 * [backup-simplify]: Simplify R into R
6.437 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
6.437 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
6.437 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
6.437 * [taylor]: Taking taylor expansion of R in lambda1
6.437 * [backup-simplify]: Simplify R into R
6.437 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
6.437 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
6.437 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2
6.437 * [taylor]: Taking taylor expansion of R in phi2
6.437 * [backup-simplify]: Simplify R into R
6.437 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
6.437 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
6.438 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1
6.438 * [taylor]: Taking taylor expansion of R in phi1
6.438 * [backup-simplify]: Simplify R into R
6.438 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
6.438 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
6.438 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1
6.438 * [taylor]: Taking taylor expansion of R in phi1
6.438 * [backup-simplify]: Simplify R into R
6.438 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
6.438 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
6.439 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
6.439 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2
6.439 * [taylor]: Taking taylor expansion of R in phi2
6.439 * [backup-simplify]: Simplify R into R
6.439 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
6.439 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
6.439 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
6.439 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
6.439 * [taylor]: Taking taylor expansion of R in lambda1
6.439 * [backup-simplify]: Simplify R into R
6.439 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
6.440 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
6.440 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
6.440 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
6.440 * [taylor]: Taking taylor expansion of R in lambda2
6.440 * [backup-simplify]: Simplify R into R
6.440 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
6.440 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
6.440 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
6.441 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in R
6.441 * [taylor]: Taking taylor expansion of R in R
6.441 * [backup-simplify]: Simplify 0 into 0
6.441 * [backup-simplify]: Simplify 1 into 1
6.441 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in R
6.441 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
6.441 * [backup-simplify]: Simplify (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into 0
6.441 * [backup-simplify]: Simplify 0 into 0
6.442 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
6.442 * [taylor]: Taking taylor expansion of 0 in phi2
6.442 * [backup-simplify]: Simplify 0 into 0
6.442 * [taylor]: Taking taylor expansion of 0 in lambda1
6.442 * [backup-simplify]: Simplify 0 into 0
6.442 * [taylor]: Taking taylor expansion of 0 in lambda2
6.442 * [backup-simplify]: Simplify 0 into 0
6.442 * [taylor]: Taking taylor expansion of 0 in R
6.442 * [backup-simplify]: Simplify 0 into 0
6.442 * [backup-simplify]: Simplify 0 into 0
6.442 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
6.442 * [taylor]: Taking taylor expansion of 0 in lambda1
6.442 * [backup-simplify]: Simplify 0 into 0
6.442 * [taylor]: Taking taylor expansion of 0 in lambda2
6.442 * [backup-simplify]: Simplify 0 into 0
6.442 * [taylor]: Taking taylor expansion of 0 in R
6.442 * [backup-simplify]: Simplify 0 into 0
6.442 * [backup-simplify]: Simplify 0 into 0
6.442 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
6.442 * [taylor]: Taking taylor expansion of 0 in lambda2
6.442 * [backup-simplify]: Simplify 0 into 0
6.443 * [taylor]: Taking taylor expansion of 0 in R
6.443 * [backup-simplify]: Simplify 0 into 0
6.443 * [backup-simplify]: Simplify 0 into 0
6.443 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
6.443 * [taylor]: Taking taylor expansion of 0 in R
6.443 * [backup-simplify]: Simplify 0 into 0
6.443 * [backup-simplify]: Simplify 0 into 0
6.444 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
6.444 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
6.445 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0
6.445 * [taylor]: Taking taylor expansion of 0 in phi2
6.445 * [backup-simplify]: Simplify 0 into 0
6.445 * [taylor]: Taking taylor expansion of 0 in lambda1
6.445 * [backup-simplify]: Simplify 0 into 0
6.445 * [taylor]: Taking taylor expansion of 0 in lambda2
6.445 * [backup-simplify]: Simplify 0 into 0
6.445 * [taylor]: Taking taylor expansion of 0 in R
6.445 * [backup-simplify]: Simplify 0 into 0
6.445 * [backup-simplify]: Simplify 0 into 0
6.445 * [taylor]: Taking taylor expansion of 0 in lambda1
6.445 * [backup-simplify]: Simplify 0 into 0
6.445 * [taylor]: Taking taylor expansion of 0 in lambda2
6.445 * [backup-simplify]: Simplify 0 into 0
6.445 * [taylor]: Taking taylor expansion of 0 in R
6.445 * [backup-simplify]: Simplify 0 into 0
6.445 * [backup-simplify]: Simplify 0 into 0
6.446 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0
6.446 * [taylor]: Taking taylor expansion of 0 in lambda1
6.446 * [backup-simplify]: Simplify 0 into 0
6.446 * [taylor]: Taking taylor expansion of 0 in lambda2
6.446 * [backup-simplify]: Simplify 0 into 0
6.446 * [taylor]: Taking taylor expansion of 0 in R
6.446 * [backup-simplify]: Simplify 0 into 0
6.446 * [backup-simplify]: Simplify 0 into 0
6.446 * [taylor]: Taking taylor expansion of 0 in lambda2
6.446 * [backup-simplify]: Simplify 0 into 0
6.446 * [taylor]: Taking taylor expansion of 0 in R
6.446 * [backup-simplify]: Simplify 0 into 0
6.446 * [backup-simplify]: Simplify 0 into 0
6.446 * [taylor]: Taking taylor expansion of 0 in lambda2
6.446 * [backup-simplify]: Simplify 0 into 0
6.446 * [taylor]: Taking taylor expansion of 0 in R
6.446 * [backup-simplify]: Simplify 0 into 0
6.446 * [backup-simplify]: Simplify 0 into 0
6.447 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0
6.447 * [taylor]: Taking taylor expansion of 0 in lambda2
6.447 * [backup-simplify]: Simplify 0 into 0
6.447 * [taylor]: Taking taylor expansion of 0 in R
6.447 * [backup-simplify]: Simplify 0 into 0
6.447 * [backup-simplify]: Simplify 0 into 0
6.448 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) (* R (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
6.448 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2))))))) (/ 1 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)
6.448 * [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 (phi1 phi2 lambda1 lambda2 R) around 0
6.448 * [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
6.448 * [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
6.449 * [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))))))
6.449 * [taylor]: Taking taylor expansion of R in R
6.449 * [backup-simplify]: Simplify 0 into 0
6.449 * [backup-simplify]: Simplify 1 into 1
6.449 * [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))))))
6.449 * [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
6.449 * [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
6.450 * [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))))))
6.450 * [taylor]: Taking taylor expansion of R in lambda2
6.450 * [backup-simplify]: Simplify R into R
6.450 * [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)
6.450 * [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
6.450 * [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
6.450 * [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))))))
6.450 * [taylor]: Taking taylor expansion of R in lambda1
6.451 * [backup-simplify]: Simplify R into R
6.451 * [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)
6.451 * [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
6.451 * [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
6.451 * [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))))))
6.451 * [taylor]: Taking taylor expansion of R in phi2
6.451 * [backup-simplify]: Simplify R into R
6.452 * [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)
6.452 * [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
6.452 * [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
6.452 * [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))))))
6.452 * [taylor]: Taking taylor expansion of R in phi1
6.452 * [backup-simplify]: Simplify R into R
6.453 * [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)
6.453 * [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
6.453 * [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
6.453 * [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))))))
6.453 * [taylor]: Taking taylor expansion of R in phi1
6.453 * [backup-simplify]: Simplify R into R
6.454 * [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)
6.454 * [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
6.454 * [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
6.454 * [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))))))
6.454 * [taylor]: Taking taylor expansion of R in phi2
6.454 * [backup-simplify]: Simplify R into R
6.454 * [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)
6.455 * [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
6.455 * [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
6.455 * [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))))))
6.455 * [taylor]: Taking taylor expansion of R in lambda1
6.455 * [backup-simplify]: Simplify R into R
6.455 * [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)
6.455 * [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
6.455 * [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
6.456 * [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))))))
6.456 * [taylor]: Taking taylor expansion of R in lambda2
6.457 * [backup-simplify]: Simplify R into R
6.458 * [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)
6.458 * [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
6.458 * [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
6.458 * [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))))))
6.458 * [taylor]: Taking taylor expansion of R in R
6.458 * [backup-simplify]: Simplify 0 into 0
6.458 * [backup-simplify]: Simplify 1 into 1
6.459 * [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))))))
6.459 * [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))))))
6.460 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (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) (/ 0 R)))) into 0
6.460 * [taylor]: Taking taylor expansion of 0 in phi2
6.460 * [backup-simplify]: Simplify 0 into 0
6.460 * [taylor]: Taking taylor expansion of 0 in lambda1
6.460 * [backup-simplify]: Simplify 0 into 0
6.460 * [taylor]: Taking taylor expansion of 0 in lambda2
6.460 * [backup-simplify]: Simplify 0 into 0
6.460 * [taylor]: Taking taylor expansion of 0 in R
6.460 * [backup-simplify]: Simplify 0 into 0
6.460 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (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) (/ 0 R)))) into 0
6.460 * [taylor]: Taking taylor expansion of 0 in lambda1
6.460 * [backup-simplify]: Simplify 0 into 0
6.460 * [taylor]: Taking taylor expansion of 0 in lambda2
6.460 * [backup-simplify]: Simplify 0 into 0
6.460 * [taylor]: Taking taylor expansion of 0 in R
6.460 * [backup-simplify]: Simplify 0 into 0
6.461 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (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) (/ 0 R)))) into 0
6.461 * [taylor]: Taking taylor expansion of 0 in lambda2
6.461 * [backup-simplify]: Simplify 0 into 0
6.461 * [taylor]: Taking taylor expansion of 0 in R
6.461 * [backup-simplify]: Simplify 0 into 0
6.461 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (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) (/ 0 R)))) into 0
6.461 * [taylor]: Taking taylor expansion of 0 in R
6.461 * [backup-simplify]: Simplify 0 into 0
6.463 * [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
6.463 * [backup-simplify]: Simplify 0 into 0
6.463 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (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) (/ 0 R)) (* 0 (/ 0 R)))) into 0
6.463 * [taylor]: Taking taylor expansion of 0 in phi2
6.463 * [backup-simplify]: Simplify 0 into 0
6.463 * [taylor]: Taking taylor expansion of 0 in lambda1
6.463 * [backup-simplify]: Simplify 0 into 0
6.463 * [taylor]: Taking taylor expansion of 0 in lambda2
6.463 * [backup-simplify]: Simplify 0 into 0
6.463 * [taylor]: Taking taylor expansion of 0 in R
6.463 * [backup-simplify]: Simplify 0 into 0
6.464 * [taylor]: Taking taylor expansion of 0 in lambda1
6.464 * [backup-simplify]: Simplify 0 into 0
6.464 * [taylor]: Taking taylor expansion of 0 in lambda2
6.464 * [backup-simplify]: Simplify 0 into 0
6.464 * [taylor]: Taking taylor expansion of 0 in R
6.464 * [backup-simplify]: Simplify 0 into 0
6.465 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (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) (/ 0 R)) (* 0 (/ 0 R)))) into 0
6.465 * [taylor]: Taking taylor expansion of 0 in lambda1
6.465 * [backup-simplify]: Simplify 0 into 0
6.465 * [taylor]: Taking taylor expansion of 0 in lambda2
6.465 * [backup-simplify]: Simplify 0 into 0
6.465 * [taylor]: Taking taylor expansion of 0 in R
6.465 * [backup-simplify]: Simplify 0 into 0
6.465 * [taylor]: Taking taylor expansion of 0 in lambda2
6.465 * [backup-simplify]: Simplify 0 into 0
6.465 * [taylor]: Taking taylor expansion of 0 in R
6.465 * [backup-simplify]: Simplify 0 into 0
6.465 * [taylor]: Taking taylor expansion of 0 in lambda2
6.465 * [backup-simplify]: Simplify 0 into 0
6.465 * [taylor]: Taking taylor expansion of 0 in R
6.465 * [backup-simplify]: Simplify 0 into 0
6.466 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (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) (/ 0 R)) (* 0 (/ 0 R)))) into 0
6.466 * [taylor]: Taking taylor expansion of 0 in lambda2
6.466 * [backup-simplify]: Simplify 0 into 0
6.466 * [taylor]: Taking taylor expansion of 0 in R
6.466 * [backup-simplify]: Simplify 0 into 0
6.466 * [taylor]: Taking taylor expansion of 0 in R
6.466 * [backup-simplify]: Simplify 0 into 0
6.466 * [taylor]: Taking taylor expansion of 0 in R
6.466 * [backup-simplify]: Simplify 0 into 0
6.467 * [taylor]: Taking taylor expansion of 0 in R
6.467 * [backup-simplify]: Simplify 0 into 0
6.468 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (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) (/ 0 R)) (* 0 (/ 0 R)))) into 0
6.468 * [taylor]: Taking taylor expansion of 0 in R
6.468 * [backup-simplify]: Simplify 0 into 0
6.468 * [backup-simplify]: Simplify 0 into 0
6.468 * [backup-simplify]: Simplify 0 into 0
6.468 * [backup-simplify]: Simplify 0 into 0
6.468 * [backup-simplify]: Simplify 0 into 0
6.470 * [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
6.470 * [backup-simplify]: Simplify 0 into 0
6.472 * [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 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)
6.473 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))))))) (/ 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))
6.473 * [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
6.473 * [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
6.473 * [taylor]: Taking taylor expansion of -1 in R
6.473 * [backup-simplify]: Simplify -1 into -1
6.473 * [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
6.473 * [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
6.474 * [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))))))))
6.474 * [taylor]: Taking taylor expansion of R in R
6.474 * [backup-simplify]: Simplify 0 into 0
6.474 * [backup-simplify]: Simplify 1 into 1
6.475 * [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))))))))
6.475 * [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
6.475 * [taylor]: Taking taylor expansion of -1 in lambda2
6.475 * [backup-simplify]: Simplify -1 into -1
6.475 * [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
6.475 * [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
6.476 * [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))))))))
6.476 * [taylor]: Taking taylor expansion of R in lambda2
6.476 * [backup-simplify]: Simplify R into R
6.477 * [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)
6.477 * [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
6.477 * [taylor]: Taking taylor expansion of -1 in lambda1
6.477 * [backup-simplify]: Simplify -1 into -1
6.477 * [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
6.477 * [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
6.478 * [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))))))))
6.478 * [taylor]: Taking taylor expansion of R in lambda1
6.478 * [backup-simplify]: Simplify R into R
6.479 * [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)
6.479 * [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
6.479 * [taylor]: Taking taylor expansion of -1 in phi2
6.479 * [backup-simplify]: Simplify -1 into -1
6.479 * [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
6.479 * [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
6.480 * [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))))))))
6.480 * [taylor]: Taking taylor expansion of R in phi2
6.480 * [backup-simplify]: Simplify R into R
6.481 * [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)
6.481 * [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
6.481 * [taylor]: Taking taylor expansion of -1 in phi1
6.481 * [backup-simplify]: Simplify -1 into -1
6.481 * [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
6.481 * [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
6.482 * [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))))))))
6.482 * [taylor]: Taking taylor expansion of R in phi1
6.482 * [backup-simplify]: Simplify R into R
6.483 * [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)
6.483 * [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
6.483 * [taylor]: Taking taylor expansion of -1 in phi1
6.483 * [backup-simplify]: Simplify -1 into -1
6.483 * [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
6.483 * [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
6.484 * [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))))))))
6.484 * [taylor]: Taking taylor expansion of R in phi1
6.484 * [backup-simplify]: Simplify R into R
6.485 * [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)
6.485 * [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))
6.486 * [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
6.486 * [taylor]: Taking taylor expansion of -1 in phi2
6.486 * [backup-simplify]: Simplify -1 into -1
6.486 * [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
6.486 * [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
6.486 * [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))))))))
6.487 * [taylor]: Taking taylor expansion of R in phi2
6.487 * [backup-simplify]: Simplify R into R
6.487 * [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)
6.488 * [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))
6.488 * [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
6.488 * [taylor]: Taking taylor expansion of -1 in lambda1
6.488 * [backup-simplify]: Simplify -1 into -1
6.488 * [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
6.488 * [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
6.489 * [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))))))))
6.489 * [taylor]: Taking taylor expansion of R in lambda1
6.489 * [backup-simplify]: Simplify R into R
6.490 * [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)
6.491 * [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))
6.491 * [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
6.491 * [taylor]: Taking taylor expansion of -1 in lambda2
6.491 * [backup-simplify]: Simplify -1 into -1
6.491 * [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
6.491 * [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
6.492 * [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))))))))
6.492 * [taylor]: Taking taylor expansion of R in lambda2
6.492 * [backup-simplify]: Simplify R into R
6.493 * [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)
6.494 * [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))
6.494 * [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
6.494 * [taylor]: Taking taylor expansion of -1 in R
6.494 * [backup-simplify]: Simplify -1 into -1
6.494 * [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
6.494 * [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
6.495 * [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))))))))
6.495 * [taylor]: Taking taylor expansion of R in R
6.495 * [backup-simplify]: Simplify 0 into 0
6.495 * [backup-simplify]: Simplify 1 into 1
6.496 * [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))))))))
6.496 * [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)))))))))
6.497 * [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)))))))))
6.498 * [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
6.500 * [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
6.500 * [taylor]: Taking taylor expansion of 0 in phi2
6.500 * [backup-simplify]: Simplify 0 into 0
6.500 * [taylor]: Taking taylor expansion of 0 in lambda1
6.500 * [backup-simplify]: Simplify 0 into 0
6.500 * [taylor]: Taking taylor expansion of 0 in lambda2
6.500 * [backup-simplify]: Simplify 0 into 0
6.500 * [taylor]: Taking taylor expansion of 0 in R
6.500 * [backup-simplify]: Simplify 0 into 0
6.501 * [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
6.502 * [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
6.503 * [taylor]: Taking taylor expansion of 0 in lambda1
6.503 * [backup-simplify]: Simplify 0 into 0
6.503 * [taylor]: Taking taylor expansion of 0 in lambda2
6.503 * [backup-simplify]: Simplify 0 into 0
6.503 * [taylor]: Taking taylor expansion of 0 in R
6.503 * [backup-simplify]: Simplify 0 into 0
6.504 * [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
6.505 * [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
6.505 * [taylor]: Taking taylor expansion of 0 in lambda2
6.505 * [backup-simplify]: Simplify 0 into 0
6.505 * [taylor]: Taking taylor expansion of 0 in R
6.505 * [backup-simplify]: Simplify 0 into 0
6.506 * [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
6.508 * [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
6.508 * [taylor]: Taking taylor expansion of 0 in R
6.508 * [backup-simplify]: Simplify 0 into 0
6.510 * [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
6.511 * [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
6.511 * [backup-simplify]: Simplify 0 into 0
6.512 * [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
6.514 * [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
6.514 * [taylor]: Taking taylor expansion of 0 in phi2
6.514 * [backup-simplify]: Simplify 0 into 0
6.514 * [taylor]: Taking taylor expansion of 0 in lambda1
6.514 * [backup-simplify]: Simplify 0 into 0
6.514 * [taylor]: Taking taylor expansion of 0 in lambda2
6.514 * [backup-simplify]: Simplify 0 into 0
6.514 * [taylor]: Taking taylor expansion of 0 in R
6.514 * [backup-simplify]: Simplify 0 into 0
6.514 * [taylor]: Taking taylor expansion of 0 in lambda1
6.514 * [backup-simplify]: Simplify 0 into 0
6.514 * [taylor]: Taking taylor expansion of 0 in lambda2
6.514 * [backup-simplify]: Simplify 0 into 0
6.514 * [taylor]: Taking taylor expansion of 0 in R
6.514 * [backup-simplify]: Simplify 0 into 0
6.515 * [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
6.516 * [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
6.516 * [taylor]: Taking taylor expansion of 0 in lambda1
6.516 * [backup-simplify]: Simplify 0 into 0
6.516 * [taylor]: Taking taylor expansion of 0 in lambda2
6.516 * [backup-simplify]: Simplify 0 into 0
6.516 * [taylor]: Taking taylor expansion of 0 in R
6.516 * [backup-simplify]: Simplify 0 into 0
6.516 * [taylor]: Taking taylor expansion of 0 in lambda2
6.516 * [backup-simplify]: Simplify 0 into 0
6.516 * [taylor]: Taking taylor expansion of 0 in R
6.516 * [backup-simplify]: Simplify 0 into 0
6.516 * [taylor]: Taking taylor expansion of 0 in lambda2
6.517 * [backup-simplify]: Simplify 0 into 0
6.517 * [taylor]: Taking taylor expansion of 0 in R
6.517 * [backup-simplify]: Simplify 0 into 0
6.517 * [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
6.518 * [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
6.518 * [taylor]: Taking taylor expansion of 0 in lambda2
6.518 * [backup-simplify]: Simplify 0 into 0
6.518 * [taylor]: Taking taylor expansion of 0 in R
6.518 * [backup-simplify]: Simplify 0 into 0
6.518 * [taylor]: Taking taylor expansion of 0 in R
6.518 * [backup-simplify]: Simplify 0 into 0
6.518 * [taylor]: Taking taylor expansion of 0 in R
6.518 * [backup-simplify]: Simplify 0 into 0
6.518 * [taylor]: Taking taylor expansion of 0 in R
6.518 * [backup-simplify]: Simplify 0 into 0
6.519 * [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
6.520 * [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
6.520 * [taylor]: Taking taylor expansion of 0 in R
6.520 * [backup-simplify]: Simplify 0 into 0
6.520 * [backup-simplify]: Simplify 0 into 0
6.520 * [backup-simplify]: Simplify 0 into 0
6.520 * [backup-simplify]: Simplify 0 into 0
6.520 * [backup-simplify]: Simplify 0 into 0
6.521 * [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
6.522 * [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
6.522 * [backup-simplify]: Simplify 0 into 0
6.523 * [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))))))
6.523 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1)
6.523 * [backup-simplify]: Simplify (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) into (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2))))
6.524 * [approximate]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) in (lambda1 lambda2 phi1 phi2) around 0
6.524 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) in phi2
6.524 * [taylor]: Taking taylor expansion of (cos phi1) in phi2
6.524 * [taylor]: Taking taylor expansion of phi1 in phi2
6.524 * [backup-simplify]: Simplify phi1 into phi1
6.524 * [backup-simplify]: Simplify (cos phi1) into (cos phi1)
6.524 * [backup-simplify]: Simplify (sin phi1) into (sin phi1)
6.524 * [taylor]: Taking taylor expansion of (* (cos phi2) (* (cos lambda1) (cos lambda2))) in phi2
6.524 * [taylor]: Taking taylor expansion of (cos phi2) in phi2
6.524 * [taylor]: Taking taylor expansion of phi2 in phi2
6.524 * [backup-simplify]: Simplify 0 into 0
6.524 * [backup-simplify]: Simplify 1 into 1
6.524 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi2
6.524 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2
6.524 * [taylor]: Taking taylor expansion of lambda1 in phi2
6.524 * [backup-simplify]: Simplify lambda1 into lambda1
6.524 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1)
6.524 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1)
6.524 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2
6.524 * [taylor]: Taking taylor expansion of lambda2 in phi2
6.524 * [backup-simplify]: Simplify lambda2 into lambda2
6.524 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2)
6.524 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2)
6.524 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) in phi1
6.524 * [taylor]: Taking taylor expansion of (cos phi1) in phi1
6.524 * [taylor]: Taking taylor expansion of phi1 in phi1
6.524 * [backup-simplify]: Simplify 0 into 0
6.524 * [backup-simplify]: Simplify 1 into 1
6.524 * [taylor]: Taking taylor expansion of (* (cos phi2) (* (cos lambda1) (cos lambda2))) in phi1
6.524 * [taylor]: Taking taylor expansion of (cos phi2) in phi1
6.524 * [taylor]: Taking taylor expansion of phi2 in phi1
6.524 * [backup-simplify]: Simplify phi2 into phi2
6.524 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
6.524 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
6.524 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi1
6.524 * [taylor]: Taking taylor expansion of (cos lambda1) in phi1
6.524 * [taylor]: Taking taylor expansion of lambda1 in phi1
6.524 * [backup-simplify]: Simplify lambda1 into lambda1
6.524 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1)
6.524 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1)
6.524 * [taylor]: Taking taylor expansion of (cos lambda2) in phi1
6.524 * [taylor]: Taking taylor expansion of lambda2 in phi1
6.524 * [backup-simplify]: Simplify lambda2 into lambda2
6.524 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2)
6.524 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2)
6.524 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) in lambda2
6.524 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2
6.524 * [taylor]: Taking taylor expansion of phi1 in lambda2
6.524 * [backup-simplify]: Simplify phi1 into phi1
6.524 * [backup-simplify]: Simplify (cos phi1) into (cos phi1)
6.524 * [backup-simplify]: Simplify (sin phi1) into (sin phi1)
6.524 * [taylor]: Taking taylor expansion of (* (cos phi2) (* (cos lambda1) (cos lambda2))) in lambda2
6.524 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2
6.524 * [taylor]: Taking taylor expansion of phi2 in lambda2
6.524 * [backup-simplify]: Simplify phi2 into phi2
6.525 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
6.525 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
6.525 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda2
6.525 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda2
6.525 * [taylor]: Taking taylor expansion of lambda1 in lambda2
6.525 * [backup-simplify]: Simplify lambda1 into lambda1
6.525 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1)
6.525 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1)
6.525 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2
6.525 * [taylor]: Taking taylor expansion of lambda2 in lambda2
6.525 * [backup-simplify]: Simplify 0 into 0
6.525 * [backup-simplify]: Simplify 1 into 1
6.525 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) in lambda1
6.525 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1
6.525 * [taylor]: Taking taylor expansion of phi1 in lambda1
6.525 * [backup-simplify]: Simplify phi1 into phi1
6.525 * [backup-simplify]: Simplify (cos phi1) into (cos phi1)
6.525 * [backup-simplify]: Simplify (sin phi1) into (sin phi1)
6.525 * [taylor]: Taking taylor expansion of (* (cos phi2) (* (cos lambda1) (cos lambda2))) in lambda1
6.525 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1
6.525 * [taylor]: Taking taylor expansion of phi2 in lambda1
6.525 * [backup-simplify]: Simplify phi2 into phi2
6.525 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
6.525 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
6.525 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1
6.525 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1
6.525 * [taylor]: Taking taylor expansion of lambda1 in lambda1
6.525 * [backup-simplify]: Simplify 0 into 0
6.525 * [backup-simplify]: Simplify 1 into 1
6.525 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1
6.525 * [taylor]: Taking taylor expansion of lambda2 in lambda1
6.525 * [backup-simplify]: Simplify lambda2 into lambda2
6.525 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2)
6.525 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2)
6.525 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) in lambda1
6.525 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1
6.525 * [taylor]: Taking taylor expansion of phi1 in lambda1
6.525 * [backup-simplify]: Simplify phi1 into phi1
6.525 * [backup-simplify]: Simplify (cos phi1) into (cos phi1)
6.525 * [backup-simplify]: Simplify (sin phi1) into (sin phi1)
6.525 * [taylor]: Taking taylor expansion of (* (cos phi2) (* (cos lambda1) (cos lambda2))) in lambda1
6.525 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1
6.525 * [taylor]: Taking taylor expansion of phi2 in lambda1
6.525 * [backup-simplify]: Simplify phi2 into phi2
6.525 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
6.525 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
6.525 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1
6.525 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1
6.525 * [taylor]: Taking taylor expansion of lambda1 in lambda1
6.525 * [backup-simplify]: Simplify 0 into 0
6.525 * [backup-simplify]: Simplify 1 into 1
6.525 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1
6.525 * [taylor]: Taking taylor expansion of lambda2 in lambda1
6.525 * [backup-simplify]: Simplify lambda2 into lambda2
6.525 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2)
6.525 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2)
6.526 * [backup-simplify]: Simplify (* (cos phi1) 1) into (cos phi1)
6.526 * [backup-simplify]: Simplify (* (sin phi1) 0) into 0
6.526 * [backup-simplify]: Simplify (- 0) into 0
6.526 * [backup-simplify]: Simplify (+ (cos phi1) 0) into (cos phi1)
6.526 * [backup-simplify]: Simplify (* (cos phi2) 1) into (cos phi2)
6.526 * [backup-simplify]: Simplify (* (sin phi2) 0) into 0
6.526 * [backup-simplify]: Simplify (- 0) into 0
6.526 * [backup-simplify]: Simplify (+ (cos phi2) 0) into (cos phi2)
6.526 * [backup-simplify]: Simplify (* (cos lambda2) 1) into (cos lambda2)
6.526 * [backup-simplify]: Simplify (* (sin lambda2) 0) into 0
6.527 * [backup-simplify]: Simplify (- 0) into 0
6.527 * [backup-simplify]: Simplify (+ (cos lambda2) 0) into (cos lambda2)
6.527 * [backup-simplify]: Simplify (* 1 (cos lambda2)) into (cos lambda2)
6.527 * [backup-simplify]: Simplify (* (cos phi2) (cos lambda2)) into (* (cos phi2) (cos lambda2))
6.527 * [backup-simplify]: Simplify (* (cos phi1) (* (cos phi2) (cos lambda2))) into (* (cos phi1) (* (cos phi2) (cos lambda2)))
6.527 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos lambda2))) in lambda2
6.527 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2
6.527 * [taylor]: Taking taylor expansion of phi1 in lambda2
6.527 * [backup-simplify]: Simplify phi1 into phi1
6.527 * [backup-simplify]: Simplify (cos phi1) into (cos phi1)
6.527 * [backup-simplify]: Simplify (sin phi1) into (sin phi1)
6.527 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos lambda2)) in lambda2
6.527 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2
6.527 * [taylor]: Taking taylor expansion of phi2 in lambda2
6.527 * [backup-simplify]: Simplify phi2 into phi2
6.527 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
6.527 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
6.527 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2
6.527 * [taylor]: Taking taylor expansion of lambda2 in lambda2
6.527 * [backup-simplify]: Simplify 0 into 0
6.527 * [backup-simplify]: Simplify 1 into 1
6.527 * [backup-simplify]: Simplify (* (cos phi1) 1) into (cos phi1)
6.527 * [backup-simplify]: Simplify (* (sin phi1) 0) into 0
6.527 * [backup-simplify]: Simplify (- 0) into 0
6.527 * [backup-simplify]: Simplify (+ (cos phi1) 0) into (cos phi1)
6.528 * [backup-simplify]: Simplify (* (cos phi2) 1) into (cos phi2)
6.528 * [backup-simplify]: Simplify (* (sin phi2) 0) into 0
6.528 * [backup-simplify]: Simplify (- 0) into 0
6.528 * [backup-simplify]: Simplify (+ (cos phi2) 0) into (cos phi2)
6.528 * [backup-simplify]: Simplify (* (cos phi2) 1) into (cos phi2)
6.528 * [backup-simplify]: Simplify (* (cos phi1) (cos phi2)) into (* (cos phi1) (cos phi2))
6.528 * [taylor]: Taking taylor expansion of (* (cos phi1) (cos phi2)) in phi1
6.528 * [taylor]: Taking taylor expansion of (cos phi1) in phi1
6.528 * [taylor]: Taking taylor expansion of phi1 in phi1
6.528 * [backup-simplify]: Simplify 0 into 0
6.528 * [backup-simplify]: Simplify 1 into 1
6.528 * [taylor]: Taking taylor expansion of (cos phi2) in phi1
6.528 * [taylor]: Taking taylor expansion of phi2 in phi1
6.528 * [backup-simplify]: Simplify phi2 into phi2
6.528 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
6.528 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
6.528 * [backup-simplify]: Simplify (* (cos phi2) 1) into (cos phi2)
6.528 * [backup-simplify]: Simplify (* (sin phi2) 0) into 0
6.528 * [backup-simplify]: Simplify (- 0) into 0
6.528 * [backup-simplify]: Simplify (+ (cos phi2) 0) into (cos phi2)
6.528 * [backup-simplify]: Simplify (* 1 (cos phi2)) into (cos phi2)
6.529 * [taylor]: Taking taylor expansion of (cos phi2) in phi2
6.529 * [taylor]: Taking taylor expansion of phi2 in phi2
6.529 * [backup-simplify]: Simplify 0 into 0
6.529 * [backup-simplify]: Simplify 1 into 1
6.529 * [backup-simplify]: Simplify 1 into 1
6.529 * [backup-simplify]: Simplify (+ 0) into 0
6.529 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 1)) into 0
6.530 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.530 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 0)) into 0
6.530 * [backup-simplify]: Simplify (- 0) into 0
6.530 * [backup-simplify]: Simplify (+ 0 0) into 0
6.531 * [backup-simplify]: Simplify (+ 0) into 0
6.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos lambda2))) into 0
6.531 * [backup-simplify]: Simplify (+ 0) into 0
6.531 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 1)) into 0
6.532 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.532 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 0)) into 0
6.532 * [backup-simplify]: Simplify (- 0) into 0
6.533 * [backup-simplify]: Simplify (+ 0 0) into 0
6.533 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 (cos lambda2))) into 0
6.533 * [backup-simplify]: Simplify (+ 0) into 0
6.533 * [backup-simplify]: Simplify (+ (* (cos phi1) 0) (* 0 1)) into 0
6.534 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.534 * [backup-simplify]: Simplify (+ (* (sin phi1) 0) (* 0 0)) into 0
6.534 * [backup-simplify]: Simplify (- 0) into 0
6.534 * [backup-simplify]: Simplify (+ 0 0) into 0
6.535 * [backup-simplify]: Simplify (+ (* (cos phi1) 0) (* 0 (* (cos phi2) (cos lambda2)))) into 0
6.535 * [taylor]: Taking taylor expansion of 0 in lambda2
6.535 * [backup-simplify]: Simplify 0 into 0
6.535 * [taylor]: Taking taylor expansion of 0 in phi1
6.535 * [backup-simplify]: Simplify 0 into 0
6.535 * [taylor]: Taking taylor expansion of 0 in phi2
6.535 * [backup-simplify]: Simplify 0 into 0
6.535 * [backup-simplify]: Simplify 0 into 0
6.535 * [backup-simplify]: Simplify (+ 0) into 0
6.535 * [backup-simplify]: Simplify (+ 0) into 0
6.535 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 1)) into 0
6.536 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.536 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 0)) into 0
6.536 * [backup-simplify]: Simplify (- 0) into 0
6.537 * [backup-simplify]: Simplify (+ 0 0) into 0
6.537 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 1)) into 0
6.537 * [backup-simplify]: Simplify (+ 0) into 0
6.537 * [backup-simplify]: Simplify (+ (* (cos phi1) 0) (* 0 1)) into 0
6.538 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.538 * [backup-simplify]: Simplify (+ (* (sin phi1) 0) (* 0 0)) into 0
6.538 * [backup-simplify]: Simplify (- 0) into 0
6.539 * [backup-simplify]: Simplify (+ 0 0) into 0
6.539 * [backup-simplify]: Simplify (+ (* (cos phi1) 0) (* 0 (cos phi2))) into 0
6.539 * [taylor]: Taking taylor expansion of 0 in phi1
6.539 * [backup-simplify]: Simplify 0 into 0
6.539 * [taylor]: Taking taylor expansion of 0 in phi2
6.539 * [backup-simplify]: Simplify 0 into 0
6.539 * [backup-simplify]: Simplify 0 into 0
6.539 * [backup-simplify]: Simplify (+ 0) into 0
6.540 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 1)) into 0
6.540 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.540 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 0)) into 0
6.541 * [backup-simplify]: Simplify (- 0) into 0
6.541 * [backup-simplify]: Simplify (+ 0 0) into 0
6.541 * [backup-simplify]: Simplify (+ 0) into 0
6.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos phi2))) into 0
6.541 * [taylor]: Taking taylor expansion of 0 in phi2
6.541 * [backup-simplify]: Simplify 0 into 0
6.541 * [backup-simplify]: Simplify 0 into 0
6.542 * [backup-simplify]: Simplify (+ 0) into 0
6.542 * [backup-simplify]: Simplify 0 into 0
6.542 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.543 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 1))) into 0
6.543 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.544 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 0))) into 0
6.544 * [backup-simplify]: Simplify (- 0) into 0
6.544 * [backup-simplify]: Simplify (+ 0 0) into 0
6.545 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
6.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/2 (cos lambda2)))) into (- (* 1/2 (cos lambda2)))
6.546 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.546 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 1))) into 0
6.546 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.547 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 0))) into 0
6.547 * [backup-simplify]: Simplify (- 0) into 0
6.547 * [backup-simplify]: Simplify (+ 0 0) into 0
6.548 * [backup-simplify]: Simplify (+ (* (cos phi2) (- (* 1/2 (cos lambda2)))) (+ (* 0 0) (* 0 (cos lambda2)))) into (- (* 1/2 (* (cos phi2) (cos lambda2))))
6.549 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.549 * [backup-simplify]: Simplify (+ (* (cos phi1) 0) (+ (* 0 0) (* 0 1))) into 0
6.550 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.551 * [backup-simplify]: Simplify (+ (* (sin phi1) 0) (+ (* 0 0) (* 0 0))) into 0
6.551 * [backup-simplify]: Simplify (- 0) into 0
6.551 * [backup-simplify]: Simplify (+ 0 0) into 0
6.552 * [backup-simplify]: Simplify (+ (* (cos phi1) (- (* 1/2 (* (cos phi2) (cos lambda2))))) (+ (* 0 0) (* 0 (* (cos phi2) (cos lambda2))))) into (- (* 1/2 (* (cos phi1) (* (cos phi2) (cos lambda2)))))
6.552 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (cos phi1) (* (cos phi2) (cos lambda2))))) in lambda2
6.552 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos phi1) (* (cos phi2) (cos lambda2)))) in lambda2
6.552 * [taylor]: Taking taylor expansion of 1/2 in lambda2
6.552 * [backup-simplify]: Simplify 1/2 into 1/2
6.552 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos lambda2))) in lambda2
6.552 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2
6.552 * [taylor]: Taking taylor expansion of phi1 in lambda2
6.552 * [backup-simplify]: Simplify phi1 into phi1
6.552 * [backup-simplify]: Simplify (cos phi1) into (cos phi1)
6.552 * [backup-simplify]: Simplify (sin phi1) into (sin phi1)
6.553 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos lambda2)) in lambda2
6.553 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2
6.553 * [taylor]: Taking taylor expansion of phi2 in lambda2
6.553 * [backup-simplify]: Simplify phi2 into phi2
6.553 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
6.553 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
6.553 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2
6.553 * [taylor]: Taking taylor expansion of lambda2 in lambda2
6.553 * [backup-simplify]: Simplify 0 into 0
6.553 * [backup-simplify]: Simplify 1 into 1
6.553 * [backup-simplify]: Simplify (* (cos phi1) 1) into (cos phi1)
6.553 * [backup-simplify]: Simplify (* (sin phi1) 0) into 0
6.553 * [backup-simplify]: Simplify (- 0) into 0
6.553 * [backup-simplify]: Simplify (+ (cos phi1) 0) into (cos phi1)
6.553 * [backup-simplify]: Simplify (* (cos phi2) 1) into (cos phi2)
6.553 * [backup-simplify]: Simplify (* (sin phi2) 0) into 0
6.554 * [backup-simplify]: Simplify (- 0) into 0
6.554 * [backup-simplify]: Simplify (+ (cos phi2) 0) into (cos phi2)
6.554 * [backup-simplify]: Simplify (* (cos phi2) 1) into (cos phi2)
6.554 * [backup-simplify]: Simplify (* (cos phi1) (cos phi2)) into (* (cos phi1) (cos phi2))
6.554 * [backup-simplify]: Simplify (* 1/2 (* (cos phi1) (cos phi2))) into (* 1/2 (* (cos phi1) (cos phi2)))
6.554 * [backup-simplify]: Simplify (- (* 1/2 (* (cos phi1) (cos phi2)))) into (- (* 1/2 (* (cos phi1) (cos phi2))))
6.554 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (cos phi1) (cos phi2)))) in phi1
6.554 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos phi1) (cos phi2))) in phi1
6.554 * [taylor]: Taking taylor expansion of 1/2 in phi1
6.554 * [backup-simplify]: Simplify 1/2 into 1/2
6.554 * [taylor]: Taking taylor expansion of (* (cos phi1) (cos phi2)) in phi1
6.554 * [taylor]: Taking taylor expansion of (cos phi1) in phi1
6.554 * [taylor]: Taking taylor expansion of phi1 in phi1
6.555 * [backup-simplify]: Simplify 0 into 0
6.555 * [backup-simplify]: Simplify 1 into 1
6.555 * [taylor]: Taking taylor expansion of (cos phi2) in phi1
6.555 * [taylor]: Taking taylor expansion of phi2 in phi1
6.555 * [backup-simplify]: Simplify phi2 into phi2
6.555 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
6.555 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
6.555 * [backup-simplify]: Simplify (* (cos phi2) 1) into (cos phi2)
6.555 * [backup-simplify]: Simplify (* (sin phi2) 0) into 0
6.555 * [backup-simplify]: Simplify (- 0) into 0
6.555 * [backup-simplify]: Simplify (+ (cos phi2) 0) into (cos phi2)
6.555 * [backup-simplify]: Simplify (* 1 (cos phi2)) into (cos phi2)
6.555 * [backup-simplify]: Simplify (* 1/2 (cos phi2)) into (* 1/2 (cos phi2))
6.556 * [backup-simplify]: Simplify (- (* 1/2 (cos phi2))) into (- (* 1/2 (cos phi2)))
6.556 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos phi2))) in phi2
6.556 * [taylor]: Taking taylor expansion of (* 1/2 (cos phi2)) in phi2
6.556 * [taylor]: Taking taylor expansion of 1/2 in phi2
6.556 * [backup-simplify]: Simplify 1/2 into 1/2
6.556 * [taylor]: Taking taylor expansion of (cos phi2) in phi2
6.556 * [taylor]: Taking taylor expansion of phi2 in phi2
6.556 * [backup-simplify]: Simplify 0 into 0
6.556 * [backup-simplify]: Simplify 1 into 1
6.556 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.557 * [backup-simplify]: Simplify (- 1/2) into -1/2
6.557 * [backup-simplify]: Simplify -1/2 into -1/2
6.557 * [taylor]: Taking taylor expansion of 0 in phi1
6.557 * [backup-simplify]: Simplify 0 into 0
6.557 * [taylor]: Taking taylor expansion of 0 in phi2
6.557 * [backup-simplify]: Simplify 0 into 0
6.557 * [backup-simplify]: Simplify 0 into 0
6.558 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
6.559 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.559 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 1))) into 0
6.560 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.561 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 0))) into 0
6.561 * [backup-simplify]: Simplify (- 0) into 0
6.562 * [backup-simplify]: Simplify (+ 0 0) into 0
6.562 * [backup-simplify]: Simplify (+ (* (cos phi2) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos phi2)))
6.563 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.564 * [backup-simplify]: Simplify (+ (* (cos phi1) 0) (+ (* 0 0) (* 0 1))) into 0
6.565 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.565 * [backup-simplify]: Simplify (+ (* (sin phi1) 0) (+ (* 0 0) (* 0 0))) into 0
6.566 * [backup-simplify]: Simplify (- 0) into 0
6.566 * [backup-simplify]: Simplify (+ 0 0) into 0
6.567 * [backup-simplify]: Simplify (+ (* (cos phi1) (- (* 1/2 (cos phi2)))) (+ (* 0 0) (* 0 (cos phi2)))) into (- (* 1/2 (* (cos phi1) (cos phi2))))
6.567 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (cos phi1) (cos phi2)))) in phi1
6.567 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos phi1) (cos phi2))) in phi1
6.567 * [taylor]: Taking taylor expansion of 1/2 in phi1
6.567 * [backup-simplify]: Simplify 1/2 into 1/2
6.567 * [taylor]: Taking taylor expansion of (* (cos phi1) (cos phi2)) in phi1
6.567 * [taylor]: Taking taylor expansion of (cos phi1) in phi1
6.567 * [taylor]: Taking taylor expansion of phi1 in phi1
6.567 * [backup-simplify]: Simplify 0 into 0
6.567 * [backup-simplify]: Simplify 1 into 1
6.567 * [taylor]: Taking taylor expansion of (cos phi2) in phi1
6.567 * [taylor]: Taking taylor expansion of phi2 in phi1
6.567 * [backup-simplify]: Simplify phi2 into phi2
6.567 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
6.567 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
6.567 * [backup-simplify]: Simplify (* (cos phi2) 1) into (cos phi2)
6.567 * [backup-simplify]: Simplify (* (sin phi2) 0) into 0
6.568 * [backup-simplify]: Simplify (- 0) into 0
6.568 * [backup-simplify]: Simplify (+ (cos phi2) 0) into (cos phi2)
6.568 * [backup-simplify]: Simplify (* 1 (cos phi2)) into (cos phi2)
6.568 * [backup-simplify]: Simplify (* 1/2 (cos phi2)) into (* 1/2 (cos phi2))
6.568 * [backup-simplify]: Simplify (- (* 1/2 (cos phi2))) into (- (* 1/2 (cos phi2)))
6.568 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos phi2))) in phi2
6.568 * [taylor]: Taking taylor expansion of (* 1/2 (cos phi2)) in phi2
6.568 * [taylor]: Taking taylor expansion of 1/2 in phi2
6.568 * [backup-simplify]: Simplify 1/2 into 1/2
6.568 * [taylor]: Taking taylor expansion of (cos phi2) in phi2
6.568 * [taylor]: Taking taylor expansion of phi2 in phi2
6.568 * [backup-simplify]: Simplify 0 into 0
6.568 * [backup-simplify]: Simplify 1 into 1
6.569 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.572 * [backup-simplify]: Simplify (- 1/2) into -1/2
6.572 * [backup-simplify]: Simplify -1/2 into -1/2
6.573 * [backup-simplify]: Simplify (+ (* -1/2 (pow (* 1 (* 1 (* lambda2 1))) 2)) (+ (* -1/2 (pow (* 1 (* 1 (* 1 lambda1))) 2)) 1)) into (- 1 (+ (* 1/2 (pow lambda1 2)) (* 1/2 (pow lambda2 2))))
6.573 * [backup-simplify]: Simplify (* (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) into (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))
6.573 * [approximate]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) in (lambda1 lambda2 phi1 phi2) around 0
6.573 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) in phi2
6.573 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi2
6.573 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2
6.573 * [taylor]: Taking taylor expansion of lambda2 in phi2
6.573 * [backup-simplify]: Simplify lambda2 into lambda2
6.574 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
6.574 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
6.574 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
6.574 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))) in phi2
6.574 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2
6.574 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
6.574 * [taylor]: Taking taylor expansion of phi2 in phi2
6.574 * [backup-simplify]: Simplify 0 into 0
6.574 * [backup-simplify]: Simplify 1 into 1
6.575 * [backup-simplify]: Simplify (/ 1 1) into 1
6.575 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
6.575 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))) in phi2
6.575 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi2
6.575 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2
6.575 * [taylor]: Taking taylor expansion of lambda1 in phi2
6.575 * [backup-simplify]: Simplify lambda1 into lambda1
6.575 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
6.575 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
6.575 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
6.575 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2
6.575 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
6.575 * [taylor]: Taking taylor expansion of phi1 in phi2
6.575 * [backup-simplify]: Simplify phi1 into phi1
6.575 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
6.575 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
6.575 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
6.575 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) in phi1
6.575 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi1
6.575 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1
6.575 * [taylor]: Taking taylor expansion of lambda2 in phi1
6.575 * [backup-simplify]: Simplify lambda2 into lambda2
6.576 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
6.576 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
6.576 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
6.576 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))) in phi1
6.576 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1
6.576 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
6.576 * [taylor]: Taking taylor expansion of phi2 in phi1
6.576 * [backup-simplify]: Simplify phi2 into phi2
6.576 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
6.576 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
6.576 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
6.576 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))) in phi1
6.576 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi1
6.576 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1
6.576 * [taylor]: Taking taylor expansion of lambda1 in phi1
6.576 * [backup-simplify]: Simplify lambda1 into lambda1
6.576 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
6.576 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
6.576 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
6.576 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1
6.576 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
6.576 * [taylor]: Taking taylor expansion of phi1 in phi1
6.576 * [backup-simplify]: Simplify 0 into 0
6.576 * [backup-simplify]: Simplify 1 into 1
6.576 * [backup-simplify]: Simplify (/ 1 1) into 1
6.576 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
6.576 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) in lambda2
6.576 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2
6.576 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
6.576 * [taylor]: Taking taylor expansion of lambda2 in lambda2
6.576 * [backup-simplify]: Simplify 0 into 0
6.576 * [backup-simplify]: Simplify 1 into 1
6.577 * [backup-simplify]: Simplify (/ 1 1) into 1
6.577 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
6.577 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))) in lambda2
6.577 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2
6.577 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
6.577 * [taylor]: Taking taylor expansion of phi2 in lambda2
6.577 * [backup-simplify]: Simplify phi2 into phi2
6.577 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
6.577 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
6.577 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
6.577 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))) in lambda2
6.577 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2
6.577 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
6.577 * [taylor]: Taking taylor expansion of lambda1 in lambda2
6.577 * [backup-simplify]: Simplify lambda1 into lambda1
6.577 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
6.577 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
6.577 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
6.577 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2
6.577 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
6.577 * [taylor]: Taking taylor expansion of phi1 in lambda2
6.577 * [backup-simplify]: Simplify phi1 into phi1
6.577 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
6.577 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
6.577 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
6.577 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) in lambda1
6.577 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1
6.577 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
6.577 * [taylor]: Taking taylor expansion of lambda2 in lambda1
6.577 * [backup-simplify]: Simplify lambda2 into lambda2
6.578 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
6.578 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
6.578 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
6.578 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))) in lambda1
6.578 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1
6.578 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
6.578 * [taylor]: Taking taylor expansion of phi2 in lambda1
6.578 * [backup-simplify]: Simplify phi2 into phi2
6.578 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
6.578 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
6.578 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
6.578 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))) in lambda1
6.578 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1
6.578 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
6.578 * [taylor]: Taking taylor expansion of lambda1 in lambda1
6.578 * [backup-simplify]: Simplify 0 into 0
6.578 * [backup-simplify]: Simplify 1 into 1
6.578 * [backup-simplify]: Simplify (/ 1 1) into 1
6.578 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
6.578 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1
6.578 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
6.578 * [taylor]: Taking taylor expansion of phi1 in lambda1
6.578 * [backup-simplify]: Simplify phi1 into phi1
6.578 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
6.578 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
6.579 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
6.579 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) in lambda1
6.579 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1
6.579 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
6.579 * [taylor]: Taking taylor expansion of lambda2 in lambda1
6.579 * [backup-simplify]: Simplify lambda2 into lambda2
6.579 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
6.579 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
6.579 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
6.579 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))) in lambda1
6.579 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1
6.579 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
6.579 * [taylor]: Taking taylor expansion of phi2 in lambda1
6.579 * [backup-simplify]: Simplify phi2 into phi2
6.579 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
6.579 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
6.579 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
6.579 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))) in lambda1
6.579 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1
6.579 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
6.579 * [taylor]: Taking taylor expansion of lambda1 in lambda1
6.579 * [backup-simplify]: Simplify 0 into 0
6.579 * [backup-simplify]: Simplify 1 into 1
6.579 * [backup-simplify]: Simplify (/ 1 1) into 1
6.579 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
6.579 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1
6.579 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
6.579 * [taylor]: Taking taylor expansion of phi1 in lambda1
6.579 * [backup-simplify]: Simplify phi1 into phi1
6.579 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
6.579 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
6.580 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
6.580 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 1) into (cos (/ 1 lambda2))
6.580 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 0) into 0
6.580 * [backup-simplify]: Simplify (- 0) into 0
6.580 * [backup-simplify]: Simplify (+ (cos (/ 1 lambda2)) 0) into (cos (/ 1 lambda2))
6.580 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2))
6.580 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 0) into 0
6.580 * [backup-simplify]: Simplify (- 0) into 0
6.580 * [backup-simplify]: Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2))
6.580 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1))
6.581 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 0) into 0
6.581 * [backup-simplify]: Simplify (- 0) into 0
6.581 * [backup-simplify]: Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1))
6.581 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))) into (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))
6.581 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))
6.581 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) into (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))
6.581 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) in lambda2
6.581 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2
6.581 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
6.581 * [taylor]: Taking taylor expansion of lambda2 in lambda2
6.581 * [backup-simplify]: Simplify 0 into 0
6.581 * [backup-simplify]: Simplify 1 into 1
6.581 * [backup-simplify]: Simplify (/ 1 1) into 1
6.582 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
6.582 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))) in lambda2
6.582 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2
6.582 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
6.582 * [taylor]: Taking taylor expansion of phi2 in lambda2
6.582 * [backup-simplify]: Simplify phi2 into phi2
6.582 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
6.582 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
6.582 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
6.582 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))) in lambda2
6.582 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2
6.582 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
6.582 * [taylor]: Taking taylor expansion of lambda1 in lambda2
6.582 * [backup-simplify]: Simplify lambda1 into lambda1
6.582 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
6.582 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
6.582 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
6.582 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2
6.582 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
6.582 * [taylor]: Taking taylor expansion of phi1 in lambda2
6.582 * [backup-simplify]: Simplify phi1 into phi1
6.582 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
6.582 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
6.582 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
6.582 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2))
6.582 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 0) into 0
6.582 * [backup-simplify]: Simplify (- 0) into 0
6.583 * [backup-simplify]: Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2))
6.583 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 1) into (cos (/ 1 lambda1))
6.583 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 0) into 0
6.583 * [backup-simplify]: Simplify (- 0) into 0
6.583 * [backup-simplify]: Simplify (+ (cos (/ 1 lambda1)) 0) into (cos (/ 1 lambda1))
6.583 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1))
6.583 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 0) into 0
6.583 * [backup-simplify]: Simplify (- 0) into 0
6.583 * [backup-simplify]: Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1))
6.583 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))) into (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))
6.583 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))
6.584 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) into (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))
6.584 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) in phi1
6.584 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi1
6.584 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1
6.584 * [taylor]: Taking taylor expansion of lambda2 in phi1
6.584 * [backup-simplify]: Simplify lambda2 into lambda2
6.584 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
6.584 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
6.584 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
6.584 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))) in phi1
6.584 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1
6.584 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
6.584 * [taylor]: Taking taylor expansion of phi2 in phi1
6.584 * [backup-simplify]: Simplify phi2 into phi2
6.584 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
6.584 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
6.584 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
6.584 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))) in phi1
6.584 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi1
6.584 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1
6.584 * [taylor]: Taking taylor expansion of lambda1 in phi1
6.584 * [backup-simplify]: Simplify lambda1 into lambda1
6.584 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
6.584 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
6.584 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
6.584 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1
6.584 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
6.584 * [taylor]: Taking taylor expansion of phi1 in phi1
6.584 * [backup-simplify]: Simplify 0 into 0
6.584 * [backup-simplify]: Simplify 1 into 1
6.585 * [backup-simplify]: Simplify (/ 1 1) into 1
6.585 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
6.585 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 1) into (cos (/ 1 lambda2))
6.585 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 0) into 0
6.585 * [backup-simplify]: Simplify (- 0) into 0
6.585 * [backup-simplify]: Simplify (+ (cos (/ 1 lambda2)) 0) into (cos (/ 1 lambda2))
6.585 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2))
6.585 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 0) into 0
6.585 * [backup-simplify]: Simplify (- 0) into 0
6.585 * [backup-simplify]: Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2))
6.585 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 1) into (cos (/ 1 lambda1))
6.585 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 0) into 0
6.586 * [backup-simplify]: Simplify (- 0) into 0
6.586 * [backup-simplify]: Simplify (+ (cos (/ 1 lambda1)) 0) into (cos (/ 1 lambda1))
6.586 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))) into (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))
6.586 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))
6.586 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) into (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))
6.586 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) in phi2
6.586 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi2
6.586 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2
6.586 * [taylor]: Taking taylor expansion of lambda2 in phi2
6.586 * [backup-simplify]: Simplify lambda2 into lambda2
6.586 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
6.586 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
6.586 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
6.586 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))) in phi2
6.586 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2
6.586 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
6.586 * [taylor]: Taking taylor expansion of phi2 in phi2
6.586 * [backup-simplify]: Simplify 0 into 0
6.586 * [backup-simplify]: Simplify 1 into 1
6.587 * [backup-simplify]: Simplify (/ 1 1) into 1
6.587 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
6.587 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))) in phi2
6.587 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi2
6.587 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2
6.587 * [taylor]: Taking taylor expansion of lambda1 in phi2
6.587 * [backup-simplify]: Simplify lambda1 into lambda1
6.587 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
6.587 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
6.587 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
6.587 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2
6.587 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
6.587 * [taylor]: Taking taylor expansion of phi1 in phi2
6.587 * [backup-simplify]: Simplify phi1 into phi1
6.587 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
6.587 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
6.587 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
6.587 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 1) into (cos (/ 1 lambda2))
6.587 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 0) into 0
6.587 * [backup-simplify]: Simplify (- 0) into 0
6.587 * [backup-simplify]: Simplify (+ (cos (/ 1 lambda2)) 0) into (cos (/ 1 lambda2))
6.588 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 1) into (cos (/ 1 lambda1))
6.588 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 0) into 0
6.588 * [backup-simplify]: Simplify (- 0) into 0
6.588 * [backup-simplify]: Simplify (+ (cos (/ 1 lambda1)) 0) into (cos (/ 1 lambda1))
6.588 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1))
6.588 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 0) into 0
6.588 * [backup-simplify]: Simplify (- 0) into 0
6.588 * [backup-simplify]: Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1))
6.588 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))) into (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))
6.588 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))
6.589 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) into (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))
6.589 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) into (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))
6.589 * [backup-simplify]: Simplify (+ 0) into 0
6.589 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 1)) into 0
6.589 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
6.590 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.590 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 0)) into 0
6.591 * [backup-simplify]: Simplify (- 0) into 0
6.591 * [backup-simplify]: Simplify (+ 0 0) into 0
6.591 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 (cos (/ 1 phi1)))) into 0
6.591 * [backup-simplify]: Simplify (+ 0) into 0
6.591 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0
6.592 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
6.592 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.592 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0
6.593 * [backup-simplify]: Simplify (- 0) into 0
6.593 * [backup-simplify]: Simplify (+ 0 0) into 0
6.593 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) into 0
6.593 * [backup-simplify]: Simplify (+ 0) into 0
6.593 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 1)) into 0
6.594 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
6.594 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.594 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 0)) into 0
6.594 * [backup-simplify]: Simplify (- 0) into 0
6.595 * [backup-simplify]: Simplify (+ 0 0) into 0
6.595 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))) into 0
6.595 * [taylor]: Taking taylor expansion of 0 in lambda2
6.595 * [backup-simplify]: Simplify 0 into 0
6.595 * [taylor]: Taking taylor expansion of 0 in phi1
6.595 * [backup-simplify]: Simplify 0 into 0
6.595 * [taylor]: Taking taylor expansion of 0 in phi2
6.595 * [backup-simplify]: Simplify 0 into 0
6.595 * [backup-simplify]: Simplify 0 into 0
6.595 * [backup-simplify]: Simplify (+ 0) into 0
6.596 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 1)) into 0
6.596 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
6.596 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.596 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 0)) into 0
6.597 * [backup-simplify]: Simplify (- 0) into 0
6.597 * [backup-simplify]: Simplify (+ 0 0) into 0
6.597 * [backup-simplify]: Simplify (+ 0) into 0
6.597 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 1)) into 0
6.597 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0
6.598 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.598 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 0)) into 0
6.598 * [backup-simplify]: Simplify (- 0) into 0
6.599 * [backup-simplify]: Simplify (+ 0 0) into 0
6.599 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 (cos (/ 1 phi1)))) into 0
6.599 * [backup-simplify]: Simplify (+ 0) into 0
6.599 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0
6.599 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
6.600 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.600 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0
6.600 * [backup-simplify]: Simplify (- 0) into 0
6.601 * [backup-simplify]: Simplify (+ 0 0) into 0
6.601 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) into 0
6.601 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))) into 0
6.601 * [taylor]: Taking taylor expansion of 0 in phi1
6.601 * [backup-simplify]: Simplify 0 into 0
6.601 * [taylor]: Taking taylor expansion of 0 in phi2
6.601 * [backup-simplify]: Simplify 0 into 0
6.601 * [backup-simplify]: Simplify 0 into 0
6.601 * [backup-simplify]: Simplify (+ 0) into 0
6.601 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 1)) into 0
6.602 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0
6.602 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.602 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 0)) into 0
6.603 * [backup-simplify]: Simplify (- 0) into 0
6.603 * [backup-simplify]: Simplify (+ 0 0) into 0
6.603 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 (cos (/ 1 phi1)))) into 0
6.603 * [backup-simplify]: Simplify (+ 0) into 0
6.603 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0
6.604 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
6.604 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.605 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0
6.605 * [backup-simplify]: Simplify (- 0) into 0
6.605 * [backup-simplify]: Simplify (+ 0 0) into 0
6.606 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) into 0
6.606 * [backup-simplify]: Simplify (+ 0) into 0
6.607 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 1)) into 0
6.607 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
6.607 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.608 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 0)) into 0
6.608 * [backup-simplify]: Simplify (- 0) into 0
6.609 * [backup-simplify]: Simplify (+ 0 0) into 0
6.609 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))) into 0
6.609 * [taylor]: Taking taylor expansion of 0 in phi2
6.609 * [backup-simplify]: Simplify 0 into 0
6.609 * [backup-simplify]: Simplify 0 into 0
6.609 * [backup-simplify]: Simplify (+ 0) into 0
6.610 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 1)) into 0
6.610 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
6.611 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.611 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 0)) into 0
6.612 * [backup-simplify]: Simplify (- 0) into 0
6.612 * [backup-simplify]: Simplify (+ 0 0) into 0
6.612 * [backup-simplify]: Simplify (+ 0) into 0
6.613 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 1)) into 0
6.613 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0
6.614 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.614 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 0)) into 0
6.614 * [backup-simplify]: Simplify (- 0) into 0
6.615 * [backup-simplify]: Simplify (+ 0 0) into 0
6.615 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 (cos (/ 1 phi1)))) into 0
6.615 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) into 0
6.616 * [backup-simplify]: Simplify (+ 0) into 0
6.616 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 1)) into 0
6.616 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
6.617 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.617 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 0)) into 0
6.618 * [backup-simplify]: Simplify (- 0) into 0
6.618 * [backup-simplify]: Simplify (+ 0 0) into 0
6.618 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))) into 0
6.618 * [backup-simplify]: Simplify 0 into 0
6.619 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.620 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
6.620 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
6.621 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.622 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
6.622 * [backup-simplify]: Simplify (- 0) into 0
6.622 * [backup-simplify]: Simplify (+ 0 0) into 0
6.623 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (cos (/ 1 phi1))))) into 0
6.624 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.624 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
6.624 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
6.625 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.626 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
6.626 * [backup-simplify]: Simplify (- 0) into 0
6.627 * [backup-simplify]: Simplify (+ 0 0) into 0
6.627 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))) into 0
6.628 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.629 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0
6.629 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
6.630 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.630 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0
6.631 * [backup-simplify]: Simplify (- 0) into 0
6.631 * [backup-simplify]: Simplify (+ 0 0) into 0
6.632 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))) into 0
6.632 * [taylor]: Taking taylor expansion of 0 in lambda2
6.632 * [backup-simplify]: Simplify 0 into 0
6.632 * [taylor]: Taking taylor expansion of 0 in phi1
6.632 * [backup-simplify]: Simplify 0 into 0
6.632 * [taylor]: Taking taylor expansion of 0 in phi2
6.632 * [backup-simplify]: Simplify 0 into 0
6.632 * [backup-simplify]: Simplify 0 into 0
6.632 * [taylor]: Taking taylor expansion of 0 in phi1
6.632 * [backup-simplify]: Simplify 0 into 0
6.632 * [taylor]: Taking taylor expansion of 0 in phi2
6.632 * [backup-simplify]: Simplify 0 into 0
6.632 * [backup-simplify]: Simplify 0 into 0
6.632 * [backup-simplify]: Simplify (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) into (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2))))
6.633 * [backup-simplify]: Simplify (* (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))
6.633 * [approximate]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) in (lambda1 lambda2 phi1 phi2) around 0
6.633 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) in phi2
6.633 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2
6.633 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
6.633 * [taylor]: Taking taylor expansion of -1 in phi2
6.633 * [backup-simplify]: Simplify -1 into -1
6.633 * [taylor]: Taking taylor expansion of phi1 in phi2
6.633 * [backup-simplify]: Simplify phi1 into phi1
6.633 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
6.633 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
6.633 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
6.633 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) in phi2
6.633 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi2
6.633 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2
6.633 * [taylor]: Taking taylor expansion of -1 in phi2
6.633 * [backup-simplify]: Simplify -1 into -1
6.633 * [taylor]: Taking taylor expansion of lambda1 in phi2
6.633 * [backup-simplify]: Simplify lambda1 into lambda1
6.634 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1)
6.634 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
6.634 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
6.634 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))) in phi2
6.634 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2
6.634 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
6.634 * [taylor]: Taking taylor expansion of -1 in phi2
6.634 * [backup-simplify]: Simplify -1 into -1
6.634 * [taylor]: Taking taylor expansion of phi2 in phi2
6.634 * [backup-simplify]: Simplify 0 into 0
6.634 * [backup-simplify]: Simplify 1 into 1
6.634 * [backup-simplify]: Simplify (/ -1 1) into -1
6.634 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
6.634 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi2
6.635 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2
6.635 * [taylor]: Taking taylor expansion of -1 in phi2
6.635 * [backup-simplify]: Simplify -1 into -1
6.635 * [taylor]: Taking taylor expansion of lambda2 in phi2
6.635 * [backup-simplify]: Simplify lambda2 into lambda2
6.635 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2)
6.635 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
6.635 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
6.635 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) in phi1
6.635 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1
6.635 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
6.635 * [taylor]: Taking taylor expansion of -1 in phi1
6.635 * [backup-simplify]: Simplify -1 into -1
6.635 * [taylor]: Taking taylor expansion of phi1 in phi1
6.635 * [backup-simplify]: Simplify 0 into 0
6.635 * [backup-simplify]: Simplify 1 into 1
6.636 * [backup-simplify]: Simplify (/ -1 1) into -1
6.636 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
6.636 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) in phi1
6.636 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi1
6.636 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1
6.636 * [taylor]: Taking taylor expansion of -1 in phi1
6.636 * [backup-simplify]: Simplify -1 into -1
6.636 * [taylor]: Taking taylor expansion of lambda1 in phi1
6.636 * [backup-simplify]: Simplify lambda1 into lambda1
6.636 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1)
6.636 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
6.636 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
6.636 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))) in phi1
6.636 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1
6.636 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
6.636 * [taylor]: Taking taylor expansion of -1 in phi1
6.636 * [backup-simplify]: Simplify -1 into -1
6.636 * [taylor]: Taking taylor expansion of phi2 in phi1
6.636 * [backup-simplify]: Simplify phi2 into phi2
6.636 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
6.636 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
6.636 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
6.636 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi1
6.637 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1
6.637 * [taylor]: Taking taylor expansion of -1 in phi1
6.637 * [backup-simplify]: Simplify -1 into -1
6.637 * [taylor]: Taking taylor expansion of lambda2 in phi1
6.637 * [backup-simplify]: Simplify lambda2 into lambda2
6.637 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2)
6.637 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
6.637 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
6.637 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) in lambda2
6.637 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2
6.637 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2
6.637 * [taylor]: Taking taylor expansion of -1 in lambda2
6.637 * [backup-simplify]: Simplify -1 into -1
6.637 * [taylor]: Taking taylor expansion of phi1 in lambda2
6.637 * [backup-simplify]: Simplify phi1 into phi1
6.637 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
6.637 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
6.637 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
6.637 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) in lambda2
6.637 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2
6.637 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2
6.637 * [taylor]: Taking taylor expansion of -1 in lambda2
6.637 * [backup-simplify]: Simplify -1 into -1
6.637 * [taylor]: Taking taylor expansion of lambda1 in lambda2
6.637 * [backup-simplify]: Simplify lambda1 into lambda1
6.637 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1)
6.637 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
6.638 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
6.638 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))) in lambda2
6.638 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2
6.638 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2
6.638 * [taylor]: Taking taylor expansion of -1 in lambda2
6.638 * [backup-simplify]: Simplify -1 into -1
6.638 * [taylor]: Taking taylor expansion of phi2 in lambda2
6.638 * [backup-simplify]: Simplify phi2 into phi2
6.638 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
6.638 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
6.638 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
6.638 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2
6.638 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
6.638 * [taylor]: Taking taylor expansion of -1 in lambda2
6.638 * [backup-simplify]: Simplify -1 into -1
6.638 * [taylor]: Taking taylor expansion of lambda2 in lambda2
6.638 * [backup-simplify]: Simplify 0 into 0
6.638 * [backup-simplify]: Simplify 1 into 1
6.639 * [backup-simplify]: Simplify (/ -1 1) into -1
6.639 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
6.639 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) in lambda1
6.639 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1
6.639 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1
6.639 * [taylor]: Taking taylor expansion of -1 in lambda1
6.639 * [backup-simplify]: Simplify -1 into -1
6.639 * [taylor]: Taking taylor expansion of phi1 in lambda1
6.639 * [backup-simplify]: Simplify phi1 into phi1
6.639 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
6.639 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
6.639 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
6.639 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) in lambda1
6.639 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1
6.639 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1
6.639 * [taylor]: Taking taylor expansion of -1 in lambda1
6.639 * [backup-simplify]: Simplify -1 into -1
6.639 * [taylor]: Taking taylor expansion of lambda1 in lambda1
6.639 * [backup-simplify]: Simplify 0 into 0
6.639 * [backup-simplify]: Simplify 1 into 1
6.640 * [backup-simplify]: Simplify (/ -1 1) into -1
6.640 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
6.640 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))) in lambda1
6.640 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1
6.640 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1
6.640 * [taylor]: Taking taylor expansion of -1 in lambda1
6.640 * [backup-simplify]: Simplify -1 into -1
6.640 * [taylor]: Taking taylor expansion of phi2 in lambda1
6.640 * [backup-simplify]: Simplify phi2 into phi2
6.640 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
6.640 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
6.640 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
6.640 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1
6.640 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1
6.640 * [taylor]: Taking taylor expansion of -1 in lambda1
6.640 * [backup-simplify]: Simplify -1 into -1
6.641 * [taylor]: Taking taylor expansion of lambda2 in lambda1
6.641 * [backup-simplify]: Simplify lambda2 into lambda2
6.641 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2)
6.641 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
6.641 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
6.641 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) in lambda1
6.641 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1
6.641 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1
6.641 * [taylor]: Taking taylor expansion of -1 in lambda1
6.641 * [backup-simplify]: Simplify -1 into -1
6.641 * [taylor]: Taking taylor expansion of phi1 in lambda1
6.641 * [backup-simplify]: Simplify phi1 into phi1
6.641 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
6.641 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
6.641 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
6.641 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) in lambda1
6.641 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1
6.641 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1
6.641 * [taylor]: Taking taylor expansion of -1 in lambda1
6.641 * [backup-simplify]: Simplify -1 into -1
6.641 * [taylor]: Taking taylor expansion of lambda1 in lambda1
6.641 * [backup-simplify]: Simplify 0 into 0
6.641 * [backup-simplify]: Simplify 1 into 1
6.642 * [backup-simplify]: Simplify (/ -1 1) into -1
6.642 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
6.642 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))) in lambda1
6.642 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1
6.642 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1
6.642 * [taylor]: Taking taylor expansion of -1 in lambda1
6.642 * [backup-simplify]: Simplify -1 into -1
6.642 * [taylor]: Taking taylor expansion of phi2 in lambda1
6.642 * [backup-simplify]: Simplify phi2 into phi2
6.642 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
6.642 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
6.642 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
6.642 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1
6.642 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1
6.642 * [taylor]: Taking taylor expansion of -1 in lambda1
6.642 * [backup-simplify]: Simplify -1 into -1
6.642 * [taylor]: Taking taylor expansion of lambda2 in lambda1
6.642 * [backup-simplify]: Simplify lambda2 into lambda2
6.642 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2)
6.643 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
6.643 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
6.643 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1))
6.643 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 0) into 0
6.643 * [backup-simplify]: Simplify (- 0) into 0
6.643 * [backup-simplify]: Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1))
6.643 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2))
6.644 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 0) into 0
6.644 * [backup-simplify]: Simplify (- 0) into 0
6.644 * [backup-simplify]: Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2))
6.644 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 1) into (cos (/ -1 lambda2))
6.644 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 0) into 0
6.645 * [backup-simplify]: Simplify (- 0) into 0
6.645 * [backup-simplify]: Simplify (+ (cos (/ -1 lambda2)) 0) into (cos (/ -1 lambda2))
6.645 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))) into (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))
6.645 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))) into (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))
6.645 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))
6.645 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) in lambda2
6.645 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2
6.645 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2
6.645 * [taylor]: Taking taylor expansion of -1 in lambda2
6.645 * [backup-simplify]: Simplify -1 into -1
6.645 * [taylor]: Taking taylor expansion of phi1 in lambda2
6.645 * [backup-simplify]: Simplify phi1 into phi1
6.645 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
6.646 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
6.646 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
6.646 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) in lambda2
6.646 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2
6.646 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2
6.646 * [taylor]: Taking taylor expansion of -1 in lambda2
6.646 * [backup-simplify]: Simplify -1 into -1
6.646 * [taylor]: Taking taylor expansion of lambda1 in lambda2
6.646 * [backup-simplify]: Simplify lambda1 into lambda1
6.646 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1)
6.646 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
6.646 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
6.646 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))) in lambda2
6.646 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2
6.646 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2
6.646 * [taylor]: Taking taylor expansion of -1 in lambda2
6.646 * [backup-simplify]: Simplify -1 into -1
6.646 * [taylor]: Taking taylor expansion of phi2 in lambda2
6.646 * [backup-simplify]: Simplify phi2 into phi2
6.646 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
6.646 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
6.646 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
6.646 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2
6.646 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
6.646 * [taylor]: Taking taylor expansion of -1 in lambda2
6.646 * [backup-simplify]: Simplify -1 into -1
6.646 * [taylor]: Taking taylor expansion of lambda2 in lambda2
6.646 * [backup-simplify]: Simplify 0 into 0
6.647 * [backup-simplify]: Simplify 1 into 1
6.647 * [backup-simplify]: Simplify (/ -1 1) into -1
6.647 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
6.647 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1))
6.647 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 0) into 0
6.648 * [backup-simplify]: Simplify (- 0) into 0
6.648 * [backup-simplify]: Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1))
6.648 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 1) into (cos (/ -1 lambda1))
6.648 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 0) into 0
6.648 * [backup-simplify]: Simplify (- 0) into 0
6.648 * [backup-simplify]: Simplify (+ (cos (/ -1 lambda1)) 0) into (cos (/ -1 lambda1))
6.648 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2))
6.649 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 0) into 0
6.649 * [backup-simplify]: Simplify (- 0) into 0
6.649 * [backup-simplify]: Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2))
6.649 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))) into (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))
6.649 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))) into (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))
6.650 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))
6.650 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) in phi1
6.650 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1
6.650 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
6.650 * [taylor]: Taking taylor expansion of -1 in phi1
6.650 * [backup-simplify]: Simplify -1 into -1
6.650 * [taylor]: Taking taylor expansion of phi1 in phi1
6.650 * [backup-simplify]: Simplify 0 into 0
6.650 * [backup-simplify]: Simplify 1 into 1
6.650 * [backup-simplify]: Simplify (/ -1 1) into -1
6.650 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
6.650 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) in phi1
6.650 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi1
6.651 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1
6.651 * [taylor]: Taking taylor expansion of -1 in phi1
6.651 * [backup-simplify]: Simplify -1 into -1
6.651 * [taylor]: Taking taylor expansion of lambda1 in phi1
6.651 * [backup-simplify]: Simplify lambda1 into lambda1
6.651 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1)
6.651 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
6.651 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
6.651 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))) in phi1
6.651 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1
6.651 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
6.651 * [taylor]: Taking taylor expansion of -1 in phi1
6.651 * [backup-simplify]: Simplify -1 into -1
6.651 * [taylor]: Taking taylor expansion of phi2 in phi1
6.651 * [backup-simplify]: Simplify phi2 into phi2
6.651 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
6.651 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
6.651 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
6.651 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi1
6.651 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1
6.652 * [taylor]: Taking taylor expansion of -1 in phi1
6.652 * [backup-simplify]: Simplify -1 into -1
6.652 * [taylor]: Taking taylor expansion of lambda2 in phi1
6.652 * [backup-simplify]: Simplify lambda2 into lambda2
6.652 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2)
6.652 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
6.652 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
6.652 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 1) into (cos (/ -1 lambda1))
6.652 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 0) into 0
6.652 * [backup-simplify]: Simplify (- 0) into 0
6.653 * [backup-simplify]: Simplify (+ (cos (/ -1 lambda1)) 0) into (cos (/ -1 lambda1))
6.653 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2))
6.653 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 0) into 0
6.653 * [backup-simplify]: Simplify (- 0) into 0
6.653 * [backup-simplify]: Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2))
6.653 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 1) into (cos (/ -1 lambda2))
6.653 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 0) into 0
6.654 * [backup-simplify]: Simplify (- 0) into 0
6.654 * [backup-simplify]: Simplify (+ (cos (/ -1 lambda2)) 0) into (cos (/ -1 lambda2))
6.654 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))) into (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))
6.654 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))) into (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))
6.654 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))
6.655 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) in phi2
6.655 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2
6.655 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
6.655 * [taylor]: Taking taylor expansion of -1 in phi2
6.655 * [backup-simplify]: Simplify -1 into -1
6.655 * [taylor]: Taking taylor expansion of phi1 in phi2
6.655 * [backup-simplify]: Simplify phi1 into phi1
6.655 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
6.655 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
6.655 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
6.655 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) in phi2
6.655 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi2
6.655 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2
6.655 * [taylor]: Taking taylor expansion of -1 in phi2
6.655 * [backup-simplify]: Simplify -1 into -1
6.655 * [taylor]: Taking taylor expansion of lambda1 in phi2
6.655 * [backup-simplify]: Simplify lambda1 into lambda1
6.655 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1)
6.655 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
6.655 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
6.655 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))) in phi2
6.655 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2
6.655 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
6.655 * [taylor]: Taking taylor expansion of -1 in phi2
6.656 * [backup-simplify]: Simplify -1 into -1
6.656 * [taylor]: Taking taylor expansion of phi2 in phi2
6.656 * [backup-simplify]: Simplify 0 into 0
6.656 * [backup-simplify]: Simplify 1 into 1
6.656 * [backup-simplify]: Simplify (/ -1 1) into -1
6.656 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
6.656 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi2
6.656 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2
6.656 * [taylor]: Taking taylor expansion of -1 in phi2
6.656 * [backup-simplify]: Simplify -1 into -1
6.656 * [taylor]: Taking taylor expansion of lambda2 in phi2
6.656 * [backup-simplify]: Simplify lambda2 into lambda2
6.656 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2)
6.656 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
6.657 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
6.657 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1))
6.657 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 0) into 0
6.657 * [backup-simplify]: Simplify (- 0) into 0
6.657 * [backup-simplify]: Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1))
6.657 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 1) into (cos (/ -1 lambda1))
6.657 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 0) into 0
6.658 * [backup-simplify]: Simplify (- 0) into 0
6.658 * [backup-simplify]: Simplify (+ (cos (/ -1 lambda1)) 0) into (cos (/ -1 lambda1))
6.658 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 1) into (cos (/ -1 lambda2))
6.658 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 0) into 0
6.658 * [backup-simplify]: Simplify (- 0) into 0
6.659 * [backup-simplify]: Simplify (+ (cos (/ -1 lambda2)) 0) into (cos (/ -1 lambda2))
6.659 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))) into (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))
6.659 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))) into (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))
6.659 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))
6.659 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))
6.660 * [backup-simplify]: Simplify (+ 0) into 0
6.660 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 1)) into 0
6.660 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0
6.661 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.662 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 0)) into 0
6.662 * [backup-simplify]: Simplify (- 0) into 0
6.663 * [backup-simplify]: Simplify (+ 0 0) into 0
6.663 * [backup-simplify]: Simplify (+ 0) into 0
6.663 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 1)) into 0
6.664 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0
6.664 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.665 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 0)) into 0
6.665 * [backup-simplify]: Simplify (- 0) into 0
6.666 * [backup-simplify]: Simplify (+ 0 0) into 0
6.666 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (cos (/ -1 lambda2)))) into 0
6.666 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))) into 0
6.666 * [backup-simplify]: Simplify (+ 0) into 0
6.667 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0
6.667 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0
6.668 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.668 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0
6.669 * [backup-simplify]: Simplify (- 0) into 0
6.669 * [backup-simplify]: Simplify (+ 0 0) into 0
6.669 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))) into 0
6.669 * [taylor]: Taking taylor expansion of 0 in lambda2
6.669 * [backup-simplify]: Simplify 0 into 0
6.669 * [taylor]: Taking taylor expansion of 0 in phi1
6.670 * [backup-simplify]: Simplify 0 into 0
6.670 * [taylor]: Taking taylor expansion of 0 in phi2
6.670 * [backup-simplify]: Simplify 0 into 0
6.670 * [backup-simplify]: Simplify 0 into 0
6.670 * [backup-simplify]: Simplify (+ 0) into 0
6.670 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 1)) into 0
6.671 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0
6.671 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.672 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 0)) into 0
6.672 * [backup-simplify]: Simplify (- 0) into 0
6.673 * [backup-simplify]: Simplify (+ 0 0) into 0
6.673 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (cos (/ -1 lambda2)))) into 0
6.673 * [backup-simplify]: Simplify (+ 0) into 0
6.674 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 1)) into 0
6.674 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0
6.675 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.675 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 0)) into 0
6.676 * [backup-simplify]: Simplify (- 0) into 0
6.676 * [backup-simplify]: Simplify (+ 0 0) into 0
6.676 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))) into 0
6.677 * [backup-simplify]: Simplify (+ 0) into 0
6.677 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0
6.677 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0
6.678 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.678 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0
6.679 * [backup-simplify]: Simplify (- 0) into 0
6.679 * [backup-simplify]: Simplify (+ 0 0) into 0
6.679 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))) into 0
6.680 * [taylor]: Taking taylor expansion of 0 in phi1
6.680 * [backup-simplify]: Simplify 0 into 0
6.680 * [taylor]: Taking taylor expansion of 0 in phi2
6.680 * [backup-simplify]: Simplify 0 into 0
6.680 * [backup-simplify]: Simplify 0 into 0
6.680 * [backup-simplify]: Simplify (+ 0) into 0
6.681 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 1)) into 0
6.681 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0
6.681 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.682 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 0)) into 0
6.682 * [backup-simplify]: Simplify (- 0) into 0
6.683 * [backup-simplify]: Simplify (+ 0 0) into 0
6.683 * [backup-simplify]: Simplify (+ 0) into 0
6.683 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 1)) into 0
6.684 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0
6.684 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.685 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 0)) into 0
6.685 * [backup-simplify]: Simplify (- 0) into 0
6.686 * [backup-simplify]: Simplify (+ 0 0) into 0
6.686 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (cos (/ -1 lambda2)))) into 0
6.686 * [backup-simplify]: Simplify (+ 0) into 0
6.687 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 1)) into 0
6.687 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0
6.688 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.688 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 0)) into 0
6.688 * [backup-simplify]: Simplify (- 0) into 0
6.689 * [backup-simplify]: Simplify (+ 0 0) into 0
6.689 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))) into 0
6.689 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))) into 0
6.689 * [taylor]: Taking taylor expansion of 0 in phi2
6.689 * [backup-simplify]: Simplify 0 into 0
6.689 * [backup-simplify]: Simplify 0 into 0
6.690 * [backup-simplify]: Simplify (+ 0) into 0
6.690 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 1)) into 0
6.691 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0
6.692 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.692 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 0)) into 0
6.692 * [backup-simplify]: Simplify (- 0) into 0
6.693 * [backup-simplify]: Simplify (+ 0 0) into 0
6.693 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (cos (/ -1 lambda2)))) into 0
6.693 * [backup-simplify]: Simplify (+ 0) into 0
6.694 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 1)) into 0
6.694 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0
6.695 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.695 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 0)) into 0
6.696 * [backup-simplify]: Simplify (- 0) into 0
6.696 * [backup-simplify]: Simplify (+ 0 0) into 0
6.696 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))) into 0
6.697 * [backup-simplify]: Simplify (+ 0) into 0
6.697 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0
6.697 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0
6.698 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.699 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0
6.699 * [backup-simplify]: Simplify (- 0) into 0
6.699 * [backup-simplify]: Simplify (+ 0 0) into 0
6.700 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))) into 0
6.700 * [backup-simplify]: Simplify 0 into 0
6.701 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.701 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0
6.702 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
6.702 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.703 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0
6.703 * [backup-simplify]: Simplify (- 0) into 0
6.704 * [backup-simplify]: Simplify (+ 0 0) into 0
6.705 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.705 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
6.706 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
6.706 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.707 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
6.707 * [backup-simplify]: Simplify (- 0) into 0
6.708 * [backup-simplify]: Simplify (+ 0 0) into 0
6.708 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 (cos (/ -1 lambda2))))) into 0
6.709 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))) into 0
6.714 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.715 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
6.715 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
6.716 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.717 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
6.717 * [backup-simplify]: Simplify (- 0) into 0
6.718 * [backup-simplify]: Simplify (+ 0 0) into 0
6.718 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))) into 0
6.718 * [taylor]: Taking taylor expansion of 0 in lambda2
6.718 * [backup-simplify]: Simplify 0 into 0
6.719 * [taylor]: Taking taylor expansion of 0 in phi1
6.719 * [backup-simplify]: Simplify 0 into 0
6.719 * [taylor]: Taking taylor expansion of 0 in phi2
6.719 * [backup-simplify]: Simplify 0 into 0
6.719 * [backup-simplify]: Simplify 0 into 0
6.719 * [taylor]: Taking taylor expansion of 0 in phi1
6.719 * [backup-simplify]: Simplify 0 into 0
6.719 * [taylor]: Taking taylor expansion of 0 in phi2
6.719 * [backup-simplify]: Simplify 0 into 0
6.719 * [backup-simplify]: Simplify 0 into 0
6.719 * [backup-simplify]: Simplify (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2))))))) into (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2))))
6.719 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1)
6.719 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2))
6.719 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0
6.719 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2
6.720 * [taylor]: Taking taylor expansion of (sin phi1) in phi2
6.720 * [taylor]: Taking taylor expansion of phi1 in phi2
6.720 * [backup-simplify]: Simplify phi1 into phi1
6.720 * [backup-simplify]: Simplify (sin phi1) into (sin phi1)
6.720 * [backup-simplify]: Simplify (cos phi1) into (cos phi1)
6.720 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
6.720 * [taylor]: Taking taylor expansion of phi2 in phi2
6.720 * [backup-simplify]: Simplify 0 into 0
6.720 * [backup-simplify]: Simplify 1 into 1
6.720 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
6.720 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
6.720 * [taylor]: Taking taylor expansion of phi1 in phi1
6.720 * [backup-simplify]: Simplify 0 into 0
6.720 * [backup-simplify]: Simplify 1 into 1
6.720 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
6.720 * [taylor]: Taking taylor expansion of phi2 in phi1
6.720 * [backup-simplify]: Simplify phi2 into phi2
6.720 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
6.720 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
6.720 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
6.720 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
6.720 * [taylor]: Taking taylor expansion of phi1 in phi1
6.720 * [backup-simplify]: Simplify 0 into 0
6.720 * [backup-simplify]: Simplify 1 into 1
6.720 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
6.720 * [taylor]: Taking taylor expansion of phi2 in phi1
6.720 * [backup-simplify]: Simplify phi2 into phi2
6.720 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
6.720 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
6.721 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2)
6.721 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0
6.721 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2)
6.721 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0
6.721 * [taylor]: Taking taylor expansion of 0 in phi2
6.721 * [backup-simplify]: Simplify 0 into 0
6.721 * [backup-simplify]: Simplify 0 into 0
6.722 * [backup-simplify]: Simplify (+ 0) into 0
6.722 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0
6.723 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.724 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0
6.724 * [backup-simplify]: Simplify (+ 0 0) into 0
6.725 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.725 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2)
6.725 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
6.725 * [taylor]: Taking taylor expansion of phi2 in phi2
6.725 * [backup-simplify]: Simplify 0 into 0
6.725 * [backup-simplify]: Simplify 1 into 1
6.725 * [backup-simplify]: Simplify 0 into 0
6.725 * [backup-simplify]: Simplify 0 into 0
6.727 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.727 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0
6.728 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.728 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0
6.729 * [backup-simplify]: Simplify (+ 0 0) into 0
6.730 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.730 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0
6.730 * [taylor]: Taking taylor expansion of 0 in phi2
6.730 * [backup-simplify]: Simplify 0 into 0
6.730 * [backup-simplify]: Simplify 0 into 0
6.731 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.731 * [backup-simplify]: Simplify 1 into 1
6.731 * [backup-simplify]: Simplify 0 into 0
6.732 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.733 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.735 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.736 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.736 * [backup-simplify]: Simplify (+ 0 0) into 0
6.737 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
6.739 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2)))
6.739 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2
6.739 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2
6.739 * [taylor]: Taking taylor expansion of 1/6 in phi2
6.739 * [backup-simplify]: Simplify 1/6 into 1/6
6.739 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
6.739 * [taylor]: Taking taylor expansion of phi2 in phi2
6.739 * [backup-simplify]: Simplify 0 into 0
6.739 * [backup-simplify]: Simplify 1 into 1
6.739 * [backup-simplify]: Simplify (* 1/6 0) into 0
6.740 * [backup-simplify]: Simplify (- 0) into 0
6.740 * [backup-simplify]: Simplify 0 into 0
6.740 * [backup-simplify]: Simplify 0 into 0
6.741 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.741 * [backup-simplify]: Simplify 0 into 0
6.741 * [backup-simplify]: Simplify 0 into 0
6.743 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
6.744 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.746 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
6.747 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
6.747 * [backup-simplify]: Simplify (+ 0 0) into 0
6.749 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
6.750 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0
6.750 * [taylor]: Taking taylor expansion of 0 in phi2
6.750 * [backup-simplify]: Simplify 0 into 0
6.750 * [backup-simplify]: Simplify 0 into 0
6.751 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2)
6.751 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
6.751 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0
6.751 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2
6.751 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
6.751 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
6.751 * [taylor]: Taking taylor expansion of phi2 in phi2
6.751 * [backup-simplify]: Simplify 0 into 0
6.751 * [backup-simplify]: Simplify 1 into 1
6.752 * [backup-simplify]: Simplify (/ 1 1) into 1
6.752 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
6.752 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
6.752 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
6.752 * [taylor]: Taking taylor expansion of phi1 in phi2
6.752 * [backup-simplify]: Simplify phi1 into phi1
6.752 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
6.752 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
6.752 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
6.752 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1
6.752 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
6.752 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
6.752 * [taylor]: Taking taylor expansion of phi2 in phi1
6.752 * [backup-simplify]: Simplify phi2 into phi2
6.752 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
6.752 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
6.752 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
6.752 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
6.752 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
6.752 * [taylor]: Taking taylor expansion of phi1 in phi1
6.753 * [backup-simplify]: Simplify 0 into 0
6.753 * [backup-simplify]: Simplify 1 into 1
6.753 * [backup-simplify]: Simplify (/ 1 1) into 1
6.753 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
6.753 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1
6.753 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
6.753 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
6.753 * [taylor]: Taking taylor expansion of phi2 in phi1
6.753 * [backup-simplify]: Simplify phi2 into phi2
6.753 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
6.753 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
6.753 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
6.753 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
6.753 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
6.753 * [taylor]: Taking taylor expansion of phi1 in phi1
6.753 * [backup-simplify]: Simplify 0 into 0
6.753 * [backup-simplify]: Simplify 1 into 1
6.754 * [backup-simplify]: Simplify (/ 1 1) into 1
6.754 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
6.754 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2))
6.754 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0
6.754 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2))
6.754 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
6.754 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2
6.754 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
6.755 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
6.755 * [taylor]: Taking taylor expansion of phi2 in phi2
6.755 * [backup-simplify]: Simplify 0 into 0
6.755 * [backup-simplify]: Simplify 1 into 1
6.755 * [backup-simplify]: Simplify (/ 1 1) into 1
6.755 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
6.755 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
6.755 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
6.755 * [taylor]: Taking taylor expansion of phi1 in phi2
6.755 * [backup-simplify]: Simplify phi1 into phi1
6.755 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
6.755 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
6.755 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
6.755 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1))
6.756 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0
6.756 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1))
6.756 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
6.756 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
6.756 * [backup-simplify]: Simplify (+ 0) into 0
6.757 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0
6.757 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
6.758 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.758 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0
6.758 * [backup-simplify]: Simplify (+ 0 0) into 0
6.759 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0
6.759 * [taylor]: Taking taylor expansion of 0 in phi2
6.759 * [backup-simplify]: Simplify 0 into 0
6.759 * [backup-simplify]: Simplify 0 into 0
6.759 * [backup-simplify]: Simplify (+ 0) into 0
6.760 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0
6.760 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
6.761 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.761 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0
6.761 * [backup-simplify]: Simplify (+ 0 0) into 0
6.762 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0
6.762 * [backup-simplify]: Simplify 0 into 0
6.763 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.763 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
6.763 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
6.764 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.765 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
6.765 * [backup-simplify]: Simplify (+ 0 0) into 0
6.766 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0
6.766 * [taylor]: Taking taylor expansion of 0 in phi2
6.766 * [backup-simplify]: Simplify 0 into 0
6.766 * [backup-simplify]: Simplify 0 into 0
6.766 * [backup-simplify]: Simplify 0 into 0
6.767 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.767 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
6.768 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
6.768 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.769 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
6.769 * [backup-simplify]: Simplify (+ 0 0) into 0
6.770 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0
6.770 * [backup-simplify]: Simplify 0 into 0
6.771 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.772 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.772 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
6.774 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.774 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.775 * [backup-simplify]: Simplify (+ 0 0) into 0
6.776 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0
6.776 * [taylor]: Taking taylor expansion of 0 in phi2
6.776 * [backup-simplify]: Simplify 0 into 0
6.776 * [backup-simplify]: Simplify 0 into 0
6.776 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2))
6.776 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
6.776 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0
6.776 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
6.776 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
6.776 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
6.776 * [taylor]: Taking taylor expansion of -1 in phi2
6.776 * [backup-simplify]: Simplify -1 into -1
6.776 * [taylor]: Taking taylor expansion of phi1 in phi2
6.776 * [backup-simplify]: Simplify phi1 into phi1
6.776 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
6.776 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
6.777 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
6.777 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
6.777 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
6.777 * [taylor]: Taking taylor expansion of -1 in phi2
6.777 * [backup-simplify]: Simplify -1 into -1
6.777 * [taylor]: Taking taylor expansion of phi2 in phi2
6.777 * [backup-simplify]: Simplify 0 into 0
6.777 * [backup-simplify]: Simplify 1 into 1
6.777 * [backup-simplify]: Simplify (/ -1 1) into -1
6.777 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
6.777 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
6.777 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
6.778 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
6.778 * [taylor]: Taking taylor expansion of -1 in phi1
6.778 * [backup-simplify]: Simplify -1 into -1
6.778 * [taylor]: Taking taylor expansion of phi1 in phi1
6.778 * [backup-simplify]: Simplify 0 into 0
6.778 * [backup-simplify]: Simplify 1 into 1
6.778 * [backup-simplify]: Simplify (/ -1 1) into -1
6.778 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
6.778 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
6.778 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
6.778 * [taylor]: Taking taylor expansion of -1 in phi1
6.778 * [backup-simplify]: Simplify -1 into -1
6.778 * [taylor]: Taking taylor expansion of phi2 in phi1
6.778 * [backup-simplify]: Simplify phi2 into phi2
6.778 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
6.778 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
6.779 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
6.779 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
6.779 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
6.779 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
6.779 * [taylor]: Taking taylor expansion of -1 in phi1
6.779 * [backup-simplify]: Simplify -1 into -1
6.779 * [taylor]: Taking taylor expansion of phi1 in phi1
6.779 * [backup-simplify]: Simplify 0 into 0
6.779 * [backup-simplify]: Simplify 1 into 1
6.779 * [backup-simplify]: Simplify (/ -1 1) into -1
6.779 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
6.779 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
6.779 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
6.779 * [taylor]: Taking taylor expansion of -1 in phi1
6.779 * [backup-simplify]: Simplify -1 into -1
6.779 * [taylor]: Taking taylor expansion of phi2 in phi1
6.779 * [backup-simplify]: Simplify phi2 into phi2
6.779 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
6.780 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
6.780 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
6.780 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2))
6.780 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0
6.780 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2))
6.780 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
6.780 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
6.780 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
6.780 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
6.780 * [taylor]: Taking taylor expansion of -1 in phi2
6.780 * [backup-simplify]: Simplify -1 into -1
6.780 * [taylor]: Taking taylor expansion of phi1 in phi2
6.780 * [backup-simplify]: Simplify phi1 into phi1
6.780 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
6.780 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
6.780 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
6.781 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
6.781 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
6.781 * [taylor]: Taking taylor expansion of -1 in phi2
6.781 * [backup-simplify]: Simplify -1 into -1
6.781 * [taylor]: Taking taylor expansion of phi2 in phi2
6.781 * [backup-simplify]: Simplify 0 into 0
6.781 * [backup-simplify]: Simplify 1 into 1
6.781 * [backup-simplify]: Simplify (/ -1 1) into -1
6.781 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
6.781 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1))
6.781 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0
6.782 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1))
6.782 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
6.782 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
6.782 * [backup-simplify]: Simplify (+ 0) into 0
6.783 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0
6.783 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0
6.784 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.784 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0
6.785 * [backup-simplify]: Simplify (+ 0 0) into 0
6.785 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0
6.785 * [taylor]: Taking taylor expansion of 0 in phi2
6.785 * [backup-simplify]: Simplify 0 into 0
6.785 * [backup-simplify]: Simplify 0 into 0
6.785 * [backup-simplify]: Simplify (+ 0) into 0
6.786 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0
6.786 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0
6.787 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.787 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0
6.787 * [backup-simplify]: Simplify (+ 0 0) into 0
6.788 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0
6.788 * [backup-simplify]: Simplify 0 into 0
6.789 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.789 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
6.789 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
6.790 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.791 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
6.791 * [backup-simplify]: Simplify (+ 0 0) into 0
6.792 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
6.792 * [taylor]: Taking taylor expansion of 0 in phi2
6.792 * [backup-simplify]: Simplify 0 into 0
6.792 * [backup-simplify]: Simplify 0 into 0
6.792 * [backup-simplify]: Simplify 0 into 0
6.793 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.794 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
6.794 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
6.795 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.796 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
6.796 * [backup-simplify]: Simplify (+ 0 0) into 0
6.797 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
6.797 * [backup-simplify]: Simplify 0 into 0
6.798 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.798 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.799 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
6.800 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.801 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.802 * [backup-simplify]: Simplify (+ 0 0) into 0
6.803 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0
6.803 * [taylor]: Taking taylor expansion of 0 in phi2
6.803 * [backup-simplify]: Simplify 0 into 0
6.803 * [backup-simplify]: Simplify 0 into 0
6.803 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2))
6.803 * * * [progress]: simplifying candidates
6.803 * * * * [progress]: [ 1 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R))>
6.803 * * * * [progress]: [ 2 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (pow (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) 1) R))>
6.803 * * * * [progress]: [ 3 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))>
6.803 * * * * [progress]: [ 4 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))>
6.803 * * * * [progress]: [ 5 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))>
6.803 * * * * [progress]: [ 6 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))>
6.804 * * * * [progress]: [ 7 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))>
6.804 * * * * [progress]: [ 8 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* 1 (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R))>
6.804 * * * * [progress]: [ 9 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (posit16->real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))>
6.804 * * * * [progress]: [ 10 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R) 1))>
6.804 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)
6.804 * * [simplify]: iters left: 6 (23 enodes)
6.815 * * [simplify]: iters left: 5 (90 enodes)
6.843 * * [simplify]: iters left: 4 (157 enodes)
6.891 * * [simplify]: iters left: 3 (253 enodes)
6.950 * * [simplify]: iters left: 2 (298 enodes)
7.005 * * [simplify]: Extracting #0: cost 1 inf + 0
7.005 * * [simplify]: Extracting #1: cost 4 inf + 0
7.005 * * [simplify]: Extracting #2: cost 5 inf + 1
7.005 * * [simplify]: Extracting #3: cost 12 inf + 1
7.005 * * [simplify]: Extracting #4: cost 48 inf + 1
7.005 * * [simplify]: Extracting #5: cost 82 inf + 1
7.006 * * [simplify]: Extracting #6: cost 60 inf + 1810
7.007 * * [simplify]: Extracting #7: cost 25 inf + 10199
7.010 * * [simplify]: Extracting #8: cost 3 inf + 19827
7.014 * * [simplify]: Extracting #9: cost 0 inf + 21679
7.018 * * [simplify]: Extracting #10: cost 0 inf + 21519
7.021 * [simplify]: Simplified to (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R)
7.021 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R) 1))
7.021 * * * * [progress]: [ 11 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R) 1))>
7.021 * * * * [progress]: [ 12 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (log R))))>
7.022 * [simplify]: Simplifying (+ (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (log R))
7.022 * * [simplify]: iters left: 6 (25 enodes)
7.027 * * [simplify]: iters left: 5 (96 enodes)
7.054 * * [simplify]: iters left: 4 (163 enodes)
7.112 * * [simplify]: iters left: 3 (258 enodes)
7.173 * * [simplify]: iters left: 2 (299 enodes)
7.243 * * [simplify]: Extracting #0: cost 1 inf + 0
7.243 * * [simplify]: Extracting #1: cost 4 inf + 0
7.243 * * [simplify]: Extracting #2: cost 8 inf + 0
7.243 * * [simplify]: Extracting #3: cost 7 inf + 143
7.243 * * [simplify]: Extracting #4: cost 14 inf + 143
7.244 * * [simplify]: Extracting #5: cost 50 inf + 143
7.244 * * [simplify]: Extracting #6: cost 84 inf + 143
7.245 * * [simplify]: Extracting #7: cost 66 inf + 1506
7.249 * * [simplify]: Extracting #8: cost 23 inf + 10766
7.254 * * [simplify]: Extracting #9: cost 10 inf + 15507
7.261 * * [simplify]: Extracting #10: cost 4 inf + 19871
7.268 * * [simplify]: Extracting #11: cost 1 inf + 22754
7.275 * * [simplify]: Extracting #12: cost 0 inf + 23789
7.283 * [simplify]: Simplified to (+ (log (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2))))) (log R))
7.283 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2))))) (log R))))
7.283 * * * * [progress]: [ 13 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))))>
7.283 * * * * [progress]: [ 14 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (log (exp (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))))>
7.283 * * * * [progress]: [ 15 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (* (* R R) R))))>
7.283 * [simplify]: Simplifying (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (* (* R R) R))
7.285 * * [simplify]: iters left: 6 (27 enodes)
7.290 * * [simplify]: iters left: 5 (108 enodes)
7.307 * * [simplify]: iters left: 4 (204 enodes)
7.380 * * [simplify]: iters left: 3 (355 enodes)
7.469 * * [simplify]: iters left: 2 (477 enodes)
7.610 * * [simplify]: Extracting #0: cost 1 inf + 0
7.610 * * [simplify]: Extracting #1: cost 31 inf + 0
7.611 * * [simplify]: Extracting #2: cost 72 inf + 255
7.611 * * [simplify]: Extracting #3: cost 81 inf + 378
7.612 * * [simplify]: Extracting #4: cost 116 inf + 460
7.613 * * [simplify]: Extracting #5: cost 145 inf + 1309
7.615 * * [simplify]: Extracting #6: cost 133 inf + 2194
7.617 * * [simplify]: Extracting #7: cost 101 inf + 7479
7.624 * * [simplify]: Extracting #8: cost 66 inf + 21696
7.648 * * [simplify]: Extracting #9: cost 21 inf + 71140
7.682 * * [simplify]: Extracting #10: cost 0 inf + 94162
7.701 * * [simplify]: Extracting #11: cost 0 inf + 91558
7.726 * [simplify]: Simplified to (* (* (* R (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2)))))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))))))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2)))))))
7.726 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* R (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2)))))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))))))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2)))))))))
7.727 * * * * [progress]: [ 16 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))))>
7.727 * * * * [progress]: [ 17 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))))>
7.727 * * * * [progress]: [ 18 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))))>
7.727 * * * * [progress]: [ 19 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)))>
7.727 * * * * [progress]: [ 20 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt R))))>
7.728 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt R))
7.728 * * [simplify]: iters left: 6 (25 enodes)
7.742 * * [simplify]: iters left: 5 (96 enodes)
7.772 * * [simplify]: iters left: 4 (163 enodes)
7.830 * * [simplify]: iters left: 3 (258 enodes)
7.898 * * [simplify]: iters left: 2 (299 enodes)
7.942 * * [simplify]: Extracting #0: cost 1 inf + 0
7.942 * * [simplify]: Extracting #1: cost 4 inf + 0
7.942 * * [simplify]: Extracting #2: cost 8 inf + 0
7.942 * * [simplify]: Extracting #3: cost 7 inf + 83
7.942 * * [simplify]: Extracting #4: cost 14 inf + 83
7.942 * * [simplify]: Extracting #5: cost 50 inf + 83
7.943 * * [simplify]: Extracting #6: cost 84 inf + 83
7.943 * * [simplify]: Extracting #7: cost 66 inf + 1446
7.949 * * [simplify]: Extracting #8: cost 23 inf + 10706
7.954 * * [simplify]: Extracting #9: cost 10 inf + 15447
7.961 * * [simplify]: Extracting #10: cost 4 inf + 19811
7.968 * * [simplify]: Extracting #11: cost 1 inf + 22574
7.975 * * [simplify]: Extracting #12: cost 0 inf + 23549
7.982 * [simplify]: Simplified to (* (sqrt R) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2))))))
7.982 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt R) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt R))))
7.983 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt R))
7.983 * * [simplify]: iters left: 6 (25 enodes)
7.994 * * [simplify]: iters left: 5 (96 enodes)
8.025 * * [simplify]: iters left: 4 (163 enodes)
8.070 * * [simplify]: iters left: 3 (258 enodes)
8.138 * * [simplify]: iters left: 2 (299 enodes)
8.211 * * [simplify]: Extracting #0: cost 1 inf + 0
8.211 * * [simplify]: Extracting #1: cost 4 inf + 0
8.211 * * [simplify]: Extracting #2: cost 8 inf + 0
8.212 * * [simplify]: Extracting #3: cost 7 inf + 83
8.212 * * [simplify]: Extracting #4: cost 14 inf + 83
8.212 * * [simplify]: Extracting #5: cost 50 inf + 83
8.212 * * [simplify]: Extracting #6: cost 84 inf + 83
8.212 * * [simplify]: Extracting #7: cost 66 inf + 1446
8.214 * * [simplify]: Extracting #8: cost 23 inf + 10706
8.217 * * [simplify]: Extracting #9: cost 10 inf + 15447
8.220 * * [simplify]: Extracting #10: cost 4 inf + 19811
8.223 * * [simplify]: Extracting #11: cost 1 inf + 22574
8.227 * * [simplify]: Extracting #12: cost 0 inf + 23549
8.231 * [simplify]: Simplified to (* (sqrt R) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2))))))
8.231 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt R)) (* (sqrt R) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2))))))))
8.231 * * * * [progress]: [ 21 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (* (cbrt R) (cbrt R))) (cbrt R)))>
8.231 * [simplify]: Simplifying (cbrt R)
8.231 * * [simplify]: iters left: 1 (2 enodes)
8.232 * * [simplify]: Extracting #0: cost 1 inf + 0
8.232 * * [simplify]: Extracting #1: cost 3 inf + 0
8.232 * * [simplify]: Extracting #2: cost 2 inf + 1
8.232 * * [simplify]: Extracting #3: cost 0 inf + 163
8.232 * [simplify]: Simplified to (cbrt R)
8.232 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (* (cbrt R) (cbrt R))) (cbrt R)))
8.232 * * * * [progress]: [ 22 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (sqrt R)) (sqrt R)))>
8.232 * [simplify]: Simplifying (sqrt R)
8.232 * * [simplify]: iters left: 1 (2 enodes)
8.233 * * [simplify]: Extracting #0: cost 1 inf + 0
8.233 * * [simplify]: Extracting #1: cost 3 inf + 0
8.233 * * [simplify]: Extracting #2: cost 2 inf + 1
8.233 * * [simplify]: Extracting #3: cost 0 inf + 83
8.233 * [simplify]: Simplified to (sqrt R)
8.233 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (sqrt R)) (sqrt R)))
8.233 * * * * [progress]: [ 23 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) 1) R))>
8.233 * * * * [progress]: [ 24 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R)))>
8.233 * [simplify]: Simplifying (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))
8.234 * * [simplify]: iters left: 6 (23 enodes)
8.239 * * [simplify]: iters left: 5 (89 enodes)
8.267 * * [simplify]: iters left: 4 (156 enodes)
8.316 * * [simplify]: iters left: 3 (251 enodes)
8.376 * * [simplify]: iters left: 2 (294 enodes)
8.444 * * [simplify]: Extracting #0: cost 1 inf + 0
8.444 * * [simplify]: Extracting #1: cost 3 inf + 0
8.444 * * [simplify]: Extracting #2: cost 5 inf + 0
8.444 * * [simplify]: Extracting #3: cost 7 inf + 0
8.444 * * [simplify]: Extracting #4: cost 14 inf + 0
8.444 * * [simplify]: Extracting #5: cost 50 inf + 0
8.444 * * [simplify]: Extracting #6: cost 84 inf + 0
8.444 * * [simplify]: Extracting #7: cost 64 inf + 1485
8.446 * * [simplify]: Extracting #8: cost 29 inf + 9672
8.449 * * [simplify]: Extracting #9: cost 5 inf + 19114
8.452 * * [simplify]: Extracting #10: cost 1 inf + 22890
8.456 * * [simplify]: Extracting #11: cost 0 inf + 23624
8.460 * * [simplify]: Extracting #12: cost 0 inf + 23544
8.467 * [simplify]: Simplified to (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi2)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi2)))))))
8.468 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi2)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R)))
8.468 * * * * [progress]: [ 25 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R)))>
8.469 * [simplify]: Simplifying (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))
8.469 * * [simplify]: iters left: 6 (22 enodes)
8.479 * * [simplify]: iters left: 5 (86 enodes)
8.503 * * [simplify]: iters left: 4 (153 enodes)
8.537 * * [simplify]: iters left: 3 (249 enodes)
8.589 * * [simplify]: iters left: 2 (294 enodes)
8.636 * * [simplify]: Extracting #0: cost 1 inf + 0
8.636 * * [simplify]: Extracting #1: cost 3 inf + 0
8.636 * * [simplify]: Extracting #2: cost 5 inf + 0
8.636 * * [simplify]: Extracting #3: cost 12 inf + 0
8.636 * * [simplify]: Extracting #4: cost 48 inf + 0
8.636 * * [simplify]: Extracting #5: cost 82 inf + 0
8.637 * * [simplify]: Extracting #6: cost 64 inf + 1161
8.641 * * [simplify]: Extracting #7: cost 21 inf + 10846
8.647 * * [simplify]: Extracting #8: cost 4 inf + 18550
8.653 * * [simplify]: Extracting #9: cost 0 inf + 21756
8.656 * * [simplify]: Extracting #10: cost 0 inf + 21516
8.660 * [simplify]: Simplified to (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (cos phi1)))))
8.660 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (cos phi1))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R)))
8.660 * * * * [progress]: [ 26 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)))>
8.660 * * * * [progress]: [ 27 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (posit16->real (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))))>
8.660 * * * * [progress]: [ 28 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))>
8.660 * * * * [progress]: [ 29 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (pow (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) 1) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
8.660 * [simplify]: Simplifying (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2)))
8.660 * * [simplify]: iters left: 5 (11 enodes)
8.663 * * [simplify]: iters left: 4 (40 enodes)
8.670 * * [simplify]: iters left: 3 (63 enodes)
8.680 * * [simplify]: iters left: 2 (101 enodes)
8.710 * * [simplify]: iters left: 1 (122 enodes)
8.737 * * [simplify]: Extracting #0: cost 1 inf + 0
8.737 * * [simplify]: Extracting #1: cost 16 inf + 0
8.738 * * [simplify]: Extracting #2: cost 34 inf + 0
8.738 * * [simplify]: Extracting #3: cost 27 inf + 187
8.738 * * [simplify]: Extracting #4: cost 8 inf + 3366
8.739 * * [simplify]: Extracting #5: cost 0 inf + 5268
8.740 * [simplify]: Simplified to (* (* (cos lambda1) (* (cos phi2) (cos lambda2))) (cos phi1))
8.740 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (pow (* (* (cos lambda1) (* (cos phi2) (cos lambda2))) (cos phi1)) 1) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
8.741 * * * * [progress]: [ 30 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (pow (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) 1) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
8.741 * [simplify]: Simplifying (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2)))
8.741 * * [simplify]: iters left: 5 (11 enodes)
8.744 * * [simplify]: iters left: 4 (40 enodes)
8.749 * * [simplify]: iters left: 3 (63 enodes)
8.759 * * [simplify]: iters left: 2 (101 enodes)
8.785 * * [simplify]: iters left: 1 (122 enodes)
8.816 * * [simplify]: Extracting #0: cost 1 inf + 0
8.816 * * [simplify]: Extracting #1: cost 16 inf + 0
8.816 * * [simplify]: Extracting #2: cost 34 inf + 0
8.817 * * [simplify]: Extracting #3: cost 27 inf + 187
8.817 * * [simplify]: Extracting #4: cost 8 inf + 3366
8.820 * * [simplify]: Extracting #5: cost 0 inf + 5268
8.821 * [simplify]: Simplified to (* (* (cos lambda1) (* (cos phi2) (cos lambda2))) (cos phi1))
8.822 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (pow (* (* (cos lambda1) (* (cos phi2) (cos lambda2))) (cos phi1)) 1) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
8.822 * * * * [progress]: [ 31 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (pow (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) 1) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
8.822 * [simplify]: Simplifying (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2)))
8.822 * * [simplify]: iters left: 5 (11 enodes)
8.827 * * [simplify]: iters left: 4 (40 enodes)
8.837 * * [simplify]: iters left: 3 (63 enodes)
8.855 * * [simplify]: iters left: 2 (101 enodes)
8.884 * * [simplify]: iters left: 1 (122 enodes)
8.916 * * [simplify]: Extracting #0: cost 1 inf + 0
8.916 * * [simplify]: Extracting #1: cost 16 inf + 0
8.916 * * [simplify]: Extracting #2: cost 34 inf + 0
8.916 * * [simplify]: Extracting #3: cost 27 inf + 187
8.917 * * [simplify]: Extracting #4: cost 8 inf + 3366
8.919 * * [simplify]: Extracting #5: cost 0 inf + 5268
8.921 * [simplify]: Simplified to (* (* (cos lambda1) (* (cos phi2) (cos lambda2))) (cos phi1))
8.921 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (pow (* (* (cos lambda1) (* (cos phi2) (cos lambda2))) (cos phi1)) 1) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
8.921 * * * * [progress]: [ 32 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (pow (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) 1) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
8.922 * [simplify]: Simplifying (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2)))
8.922 * * [simplify]: iters left: 5 (11 enodes)
8.927 * * [simplify]: iters left: 4 (40 enodes)
8.939 * * [simplify]: iters left: 3 (63 enodes)
8.960 * * [simplify]: iters left: 2 (101 enodes)
8.990 * * [simplify]: iters left: 1 (122 enodes)
9.021 * * [simplify]: Extracting #0: cost 1 inf + 0
9.021 * * [simplify]: Extracting #1: cost 16 inf + 0
9.021 * * [simplify]: Extracting #2: cost 34 inf + 0
9.021 * * [simplify]: Extracting #3: cost 27 inf + 187
9.023 * * [simplify]: Extracting #4: cost 8 inf + 3366
9.024 * * [simplify]: Extracting #5: cost 0 inf + 5268
9.025 * [simplify]: Simplified to (* (* (cos lambda1) (* (cos phi2) (cos lambda2))) (cos phi1))
9.026 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (pow (* (* (cos lambda1) (* (cos phi2) (cos lambda2))) (cos phi1)) 1) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
9.026 * * * * [progress]: [ 33 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (pow (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) 1) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
9.026 * * * * [progress]: [ 34 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (exp (+ (+ (log (cos lambda1)) (log (cos lambda2))) (+ (log (cos phi1)) (log (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
9.026 * [simplify]: Simplifying (+ (+ (log (cos lambda1)) (log (cos lambda2))) (+ (log (cos phi1)) (log (cos phi2))))
9.026 * * [simplify]: iters left: 6 (15 enodes)
9.029 * * [simplify]: iters left: 5 (52 enodes)
9.036 * * [simplify]: iters left: 4 (75 enodes)
9.046 * * [simplify]: iters left: 3 (111 enodes)
9.065 * * [simplify]: iters left: 2 (126 enodes)
9.081 * * [simplify]: Extracting #0: cost 1 inf + 0
9.081 * * [simplify]: Extracting #1: cost 16 inf + 0
9.081 * * [simplify]: Extracting #2: cost 34 inf + 0
9.081 * * [simplify]: Extracting #3: cost 42 inf + 0
9.081 * * [simplify]: Extracting #4: cost 26 inf + 1498
9.082 * * [simplify]: Extracting #5: cost 6 inf + 7911
9.083 * * [simplify]: Extracting #6: cost 0 inf + 10236
9.085 * [simplify]: Simplified to (+ (+ (log (cos lambda2)) (log (cos lambda1))) (+ (log (cos phi2)) (log (cos phi1))))
9.085 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (exp (+ (+ (log (cos lambda2)) (log (cos lambda1))) (+ (log (cos phi2)) (log (cos phi1))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
9.085 * * * * [progress]: [ 35 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (exp (+ (+ (log (cos lambda1)) (log (cos lambda2))) (log (* (cos phi1) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
9.085 * [simplify]: Simplifying (+ (+ (log (cos lambda1)) (log (cos lambda2))) (log (* (cos phi1) (cos phi2))))
9.085 * * [simplify]: iters left: 6 (14 enodes)
9.088 * * [simplify]: iters left: 5 (50 enodes)
9.095 * * [simplify]: iters left: 4 (69 enodes)
9.111 * * [simplify]: iters left: 3 (104 enodes)
9.141 * * [simplify]: iters left: 2 (130 enodes)
9.167 * * [simplify]: Extracting #0: cost 1 inf + 0
9.167 * * [simplify]: Extracting #1: cost 16 inf + 0
9.167 * * [simplify]: Extracting #2: cost 35 inf + 0
9.168 * * [simplify]: Extracting #3: cost 44 inf + 0
9.168 * * [simplify]: Extracting #4: cost 34 inf + 440
9.169 * * [simplify]: Extracting #5: cost 14 inf + 4653
9.172 * * [simplify]: Extracting #6: cost 2 inf + 9124
9.174 * * [simplify]: Extracting #7: cost 0 inf + 10000
9.178 * [simplify]: Simplified to (+ (log (* (cos phi1) (cos phi2))) (+ (log (cos lambda2)) (log (cos lambda1))))
9.178 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (exp (+ (log (* (cos phi1) (cos phi2))) (+ (log (cos lambda2)) (log (cos lambda1))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
9.178 * * * * [progress]: [ 36 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (exp (+ (log (* (cos lambda1) (cos lambda2))) (+ (log (cos phi1)) (log (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
9.179 * [simplify]: Simplifying (+ (log (* (cos lambda1) (cos lambda2))) (+ (log (cos phi1)) (log (cos phi2))))
9.179 * * [simplify]: iters left: 6 (14 enodes)
9.185 * * [simplify]: iters left: 5 (50 enodes)
9.198 * * [simplify]: iters left: 4 (69 enodes)
9.218 * * [simplify]: iters left: 3 (104 enodes)
9.244 * * [simplify]: iters left: 2 (131 enodes)
9.257 * * [simplify]: Extracting #0: cost 1 inf + 0
9.257 * * [simplify]: Extracting #1: cost 16 inf + 0
9.257 * * [simplify]: Extracting #2: cost 35 inf + 0
9.257 * * [simplify]: Extracting #3: cost 44 inf + 0
9.258 * * [simplify]: Extracting #4: cost 28 inf + 1327
9.258 * * [simplify]: Extracting #5: cost 13 inf + 5126
9.260 * * [simplify]: Extracting #6: cost 2 inf + 9295
9.261 * * [simplify]: Extracting #7: cost 0 inf + 10000
9.263 * [simplify]: Simplified to (+ (log (* (cos lambda2) (cos lambda1))) (+ (log (cos phi1)) (log (cos phi2))))
9.263 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (exp (+ (log (* (cos lambda2) (cos lambda1))) (+ (log (cos phi1)) (log (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
9.263 * * * * [progress]: [ 37 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (exp (+ (log (* (cos lambda1) (cos lambda2))) (log (* (cos phi1) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
9.263 * [simplify]: Simplifying (+ (log (* (cos lambda1) (cos lambda2))) (log (* (cos phi1) (cos phi2))))
9.263 * * [simplify]: iters left: 6 (13 enodes)
9.268 * * [simplify]: iters left: 5 (48 enodes)
9.282 * * [simplify]: iters left: 4 (66 enodes)
9.300 * * [simplify]: iters left: 3 (97 enodes)
9.324 * * [simplify]: iters left: 2 (125 enodes)
9.338 * * [simplify]: iters left: 1 (130 enodes)
9.353 * * [simplify]: Extracting #0: cost 1 inf + 0
9.353 * * [simplify]: Extracting #1: cost 16 inf + 0
9.353 * * [simplify]: Extracting #2: cost 36 inf + 0
9.353 * * [simplify]: Extracting #3: cost 46 inf + 0
9.353 * * [simplify]: Extracting #4: cost 33 inf + 763
9.354 * * [simplify]: Extracting #5: cost 13 inf + 5994
9.355 * * [simplify]: Extracting #6: cost 2 inf + 9129
9.357 * * [simplify]: Extracting #7: cost 0 inf + 9764
9.358 * [simplify]: Simplified to (+ (log (* (cos lambda2) (cos lambda1))) (log (* (cos phi2) (cos phi1))))
9.358 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (exp (+ (log (* (cos lambda2) (cos lambda1))) (log (* (cos phi2) (cos phi1))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
9.358 * * * * [progress]: [ 38 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (exp (log (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
9.359 * * * * [progress]: [ 39 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (log (exp (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
9.359 * * * * [progress]: [ 40 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (cbrt (* (* (* (* (cos lambda1) (cos lambda1)) (cos lambda1)) (* (* (cos lambda2) (cos lambda2)) (cos lambda2))) (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
9.359 * [simplify]: Simplifying (* (* (* (* (cos lambda1) (cos lambda1)) (cos lambda1)) (* (* (cos lambda2) (cos lambda2)) (cos lambda2))) (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))))
9.359 * * [simplify]: iters left: 6 (19 enodes)
9.363 * * [simplify]: iters left: 5 (76 enodes)
9.376 * * [simplify]: iters left: 4 (194 enodes)
9.477 * * [simplify]: Extracting #0: cost 1 inf + 0
9.477 * * [simplify]: Extracting #1: cost 59 inf + 0
9.478 * * [simplify]: Extracting #2: cost 248 inf + 0
9.483 * * [simplify]: Extracting #3: cost 194 inf + 13374
9.510 * * [simplify]: Extracting #4: cost 32 inf + 72117
9.549 * * [simplify]: Extracting #5: cost 0 inf + 84399
9.567 * * [simplify]: Extracting #6: cost 0 inf + 83679
9.595 * [simplify]: Simplified to (* (* (* (cos lambda2) (cos lambda1)) (* (* (cos lambda2) (cos lambda1)) (* (cos lambda2) (cos lambda1)))) (* (* (cos phi2) (cos phi1)) (* (* (cos phi2) (cos phi1)) (* (cos phi2) (cos phi1)))))
9.595 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (cbrt (* (* (* (cos lambda2) (cos lambda1)) (* (* (cos lambda2) (cos lambda1)) (* (cos lambda2) (cos lambda1)))) (* (* (cos phi2) (cos phi1)) (* (* (cos phi2) (cos phi1)) (* (cos phi2) (cos phi1)))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
9.596 * * * * [progress]: [ 41 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (cbrt (* (* (* (* (cos lambda1) (cos lambda1)) (cos lambda1)) (* (* (cos lambda2) (cos lambda2)) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
9.596 * [simplify]: Simplifying (* (* (* (* (cos lambda1) (cos lambda1)) (cos lambda1)) (* (* (cos lambda2) (cos lambda2)) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))))
9.596 * * [simplify]: iters left: 6 (17 enodes)
9.605 * * [simplify]: iters left: 5 (74 enodes)
9.632 * * [simplify]: iters left: 4 (201 enodes)
9.742 * * [simplify]: Extracting #0: cost 1 inf + 0
9.743 * * [simplify]: Extracting #1: cost 61 inf + 0
9.744 * * [simplify]: Extracting #2: cost 254 inf + 0
9.745 * * [simplify]: Extracting #3: cost 226 inf + 5432
9.750 * * [simplify]: Extracting #4: cost 152 inf + 27252
9.770 * * [simplify]: Extracting #5: cost 15 inf + 81243
9.801 * * [simplify]: Extracting #6: cost 0 inf + 87556
9.823 * * [simplify]: Extracting #7: cost 0 inf + 87436
9.844 * [simplify]: Simplified to (* (* (* (* (cos phi2) (cos phi1)) (* (cos phi2) (cos phi1))) (* (cos phi2) (cos phi1))) (* (* (cos lambda2) (cos lambda1)) (* (* (cos lambda2) (cos lambda1)) (* (cos lambda2) (cos lambda1)))))
9.845 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (cbrt (* (* (* (* (cos phi2) (cos phi1)) (* (cos phi2) (cos phi1))) (* (cos phi2) (cos phi1))) (* (* (cos lambda2) (cos lambda1)) (* (* (cos lambda2) (cos lambda1)) (* (cos lambda2) (cos lambda1)))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
9.845 * * * * [progress]: [ 42 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (cbrt (* (* (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
9.845 * [simplify]: Simplifying (* (* (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))))
9.846 * * [simplify]: iters left: 6 (17 enodes)
9.854 * * [simplify]: iters left: 5 (74 enodes)
9.883 * * [simplify]: iters left: 4 (201 enodes)
9.982 * * [simplify]: Extracting #0: cost 1 inf + 0
9.982 * * [simplify]: Extracting #1: cost 58 inf + 0
9.982 * * [simplify]: Extracting #2: cost 262 inf + 0
9.984 * * [simplify]: Extracting #3: cost 232 inf + 5802
9.989 * * [simplify]: Extracting #4: cost 135 inf + 36177
10.016 * * [simplify]: Extracting #5: cost 13 inf + 85332
10.037 * * [simplify]: Extracting #6: cost 0 inf + 89517
10.064 * * [simplify]: Extracting #7: cost 0 inf + 89477
10.101 * [simplify]: Simplified to (* (* (* (cos phi2) (cos phi1)) (* (* (cos phi2) (cos phi1)) (* (cos phi2) (cos phi1)))) (* (* (cos lambda2) (cos lambda1)) (* (* (cos lambda2) (cos lambda1)) (* (cos lambda2) (cos lambda1)))))
10.101 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (cbrt (* (* (* (cos phi2) (cos phi1)) (* (* (cos phi2) (cos phi1)) (* (cos phi2) (cos phi1)))) (* (* (cos lambda2) (cos lambda1)) (* (* (cos lambda2) (cos lambda1)) (* (cos lambda2) (cos lambda1)))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
10.101 * * * * [progress]: [ 43 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (cbrt (* (* (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
10.102 * [simplify]: Simplifying (* (* (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))))
10.102 * * [simplify]: iters left: 6 (15 enodes)
10.112 * * [simplify]: iters left: 5 (72 enodes)
10.130 * * [simplify]: iters left: 4 (208 enodes)
10.236 * * [simplify]: Extracting #0: cost 1 inf + 0
10.236 * * [simplify]: Extracting #1: cost 63 inf + 0
10.236 * * [simplify]: Extracting #2: cost 270 inf + 0
10.239 * * [simplify]: Extracting #3: cost 196 inf + 19621
10.263 * * [simplify]: Extracting #4: cost 18 inf + 86680
10.284 * * [simplify]: Extracting #5: cost 0 inf + 94094
10.313 * [simplify]: Simplified to (* (* (* (cos phi1) (cos phi2)) (* (cos lambda2) (cos lambda1))) (* (* (* (cos phi1) (cos phi2)) (* (cos lambda2) (cos lambda1))) (* (* (cos phi1) (cos phi2)) (* (cos lambda2) (cos lambda1)))))
10.313 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (cbrt (* (* (* (cos phi1) (cos phi2)) (* (cos lambda2) (cos lambda1))) (* (* (* (cos phi1) (cos phi2)) (* (cos lambda2) (cos lambda1))) (* (* (cos phi1) (cos phi2)) (* (cos lambda2) (cos lambda1)))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
10.314 * * * * [progress]: [ 44 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2)))) (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
10.314 * * * * [progress]: [ 45 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (cbrt (* (* (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2)))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
10.314 * * * * [progress]: [ 46 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sqrt (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2)))) (sqrt (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
10.314 * * * * [progress]: [ 47 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (/ (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2)))) (* 2 2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
10.314 * [simplify]: Simplifying (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))))
10.314 * * [simplify]: iters left: 6 (15 enodes)
10.317 * * [simplify]: iters left: 5 (60 enodes)
10.326 * * [simplify]: iters left: 4 (100 enodes)
10.347 * * [simplify]: iters left: 3 (164 enodes)
10.392 * * [simplify]: iters left: 2 (237 enodes)
10.449 * * [simplify]: iters left: 1 (288 enodes)
10.476 * * [simplify]: Extracting #0: cost 1 inf + 0
10.476 * * [simplify]: Extracting #1: cost 18 inf + 0
10.476 * * [simplify]: Extracting #2: cost 38 inf + 0
10.476 * * [simplify]: Extracting #3: cost 46 inf + 0
10.477 * * [simplify]: Extracting #4: cost 56 inf + 0
10.477 * * [simplify]: Extracting #5: cost 53 inf + 46
10.477 * * [simplify]: Extracting #6: cost 27 inf + 4126
10.481 * * [simplify]: Extracting #7: cost 2 inf + 13840
10.487 * * [simplify]: Extracting #8: cost 0 inf + 14968
10.495 * [simplify]: Simplified to (* (+ (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (+ (cos (+ lambda2 lambda1)) (cos (- lambda1 lambda2))))
10.495 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (/ (* (+ (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (+ (cos (+ lambda2 lambda1)) (cos (- lambda1 lambda2)))) (* 2 2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
10.496 * [simplify]: Simplifying (* 2 2)
10.496 * * [simplify]: iters left: 2 (2 enodes)
10.499 * * [simplify]: iters left: 1 (7 enodes)
10.501 * * [simplify]: Extracting #0: cost 1 inf + 0
10.501 * * [simplify]: Extracting #1: cost 0 inf + 1
10.501 * [simplify]: Simplified to 4
10.501 * [simplify]: Simplified (2 1 1 2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (/ (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2)))) 4) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
10.502 * * * * [progress]: [ 48 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* 1 (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2)))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
10.502 * * * * [progress]: [ 49 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
10.502 * [simplify]: Simplifying (cos phi2)
10.502 * * [simplify]: iters left: 1 (2 enodes)
10.503 * * [simplify]: Extracting #0: cost 1 inf + 0
10.503 * * [simplify]: Extracting #1: cost 3 inf + 0
10.503 * * [simplify]: Extracting #2: cost 2 inf + 1
10.503 * * [simplify]: Extracting #3: cost 0 inf + 123
10.503 * [simplify]: Simplified to (cos phi2)
10.503 * [simplify]: Simplified (2 1 1 2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
10.504 * * * * [progress]: [ 50 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos lambda2) (* (cos phi1) (cos phi2)))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
10.504 * [simplify]: Simplifying (cos lambda1)
10.504 * * [simplify]: iters left: 1 (2 enodes)
10.505 * * [simplify]: Extracting #0: cost 1 inf + 0
10.505 * * [simplify]: Extracting #1: cost 3 inf + 0
10.505 * * [simplify]: Extracting #2: cost 2 inf + 1
10.505 * * [simplify]: Extracting #3: cost 0 inf + 123
10.505 * [simplify]: Simplified to (cos lambda1)
10.505 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos lambda2) (* (cos phi1) (cos phi2)))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
10.505 * * * * [progress]: [ 51 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (/ (* (* (cos lambda1) (cos lambda2)) (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2)))) 2) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
10.506 * * * * [progress]: [ 52 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (/ (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) (* (cos phi1) (cos phi2))) 2) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
10.506 * [simplify]: Simplifying (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) (* (cos phi1) (cos phi2)))
10.506 * * [simplify]: iters left: 6 (13 enodes)
10.509 * * [simplify]: iters left: 5 (47 enodes)
10.516 * * [simplify]: iters left: 4 (66 enodes)
10.526 * * [simplify]: iters left: 3 (103 enodes)
10.546 * * [simplify]: iters left: 2 (135 enodes)
10.567 * * [simplify]: Extracting #0: cost 1 inf + 0
10.567 * * [simplify]: Extracting #1: cost 10 inf + 0
10.567 * * [simplify]: Extracting #2: cost 26 inf + 0
10.567 * * [simplify]: Extracting #3: cost 29 inf + 185
10.567 * * [simplify]: Extracting #4: cost 31 inf + 570
10.568 * * [simplify]: Extracting #5: cost 30 inf + 572
10.568 * * [simplify]: Extracting #6: cost 20 inf + 1695
10.569 * * [simplify]: Extracting #7: cost 3 inf + 5824
10.570 * * [simplify]: Extracting #8: cost 0 inf + 6814
10.571 * [simplify]: Simplified to (* (* (cos phi1) (cos phi2)) (+ (cos (+ lambda2 lambda1)) (cos (- lambda1 lambda2))))
10.571 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (/ (* (* (cos phi1) (cos phi2)) (+ (cos (+ lambda2 lambda1)) (cos (- lambda1 lambda2)))) 2) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
10.571 * * * * [progress]: [ 53 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (posit16->real (real->posit16 (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
10.572 * * * * [progress]: [ 54 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
10.572 * * * * [progress]: [ 55 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 2) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
10.572 * [simplify]: Simplifying (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))
10.572 * * [simplify]: iters left: 5 (7 enodes)
10.573 * * [simplify]: iters left: 4 (26 enodes)
10.576 * * [simplify]: iters left: 3 (32 enodes)
10.581 * * [simplify]: Extracting #0: cost 1 inf + 0
10.581 * * [simplify]: Extracting #1: cost 5 inf + 0
10.581 * * [simplify]: Extracting #2: cost 10 inf + 0
10.581 * * [simplify]: Extracting #3: cost 15 inf + 0
10.581 * * [simplify]: Extracting #4: cost 13 inf + 43
10.581 * * [simplify]: Extracting #5: cost 4 inf + 800
10.582 * * [simplify]: Extracting #6: cost 1 inf + 1186
10.582 * * [simplify]: Extracting #7: cost 0 inf + 1428
10.582 * [simplify]: Simplified to (- (cos (- phi1 phi2)) (cos (+ phi2 phi1)))
10.582 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) 2) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
10.582 * * * * [progress]: [ 56 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi1) (sin phi2)) 1) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
10.583 * [simplify]: Simplifying (* (sin phi1) (sin phi2))
10.583 * * [simplify]: iters left: 3 (5 enodes)
10.584 * * [simplify]: iters left: 2 (16 enodes)
10.586 * * [simplify]: Extracting #0: cost 1 inf + 0
10.586 * * [simplify]: Extracting #1: cost 4 inf + 0
10.586 * * [simplify]: Extracting #2: cost 8 inf + 0
10.586 * * [simplify]: Extracting #3: cost 4 inf + 124
10.586 * * [simplify]: Extracting #4: cost 0 inf + 570
10.586 * [simplify]: Simplified to (* (sin phi2) (sin phi1))
10.586 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi2) (sin phi1)) 1) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
10.586 * * * * [progress]: [ 57 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi1) (sin phi2)) 1) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
10.587 * * * * [progress]: [ 58 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (+ (log (sin phi1)) (log (sin phi2)))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
10.587 * [simplify]: Simplifying (+ (log (sin phi1)) (log (sin phi2)))
10.587 * * [simplify]: iters left: 4 (7 enodes)
10.588 * * [simplify]: iters left: 3 (22 enodes)
10.591 * * [simplify]: Extracting #0: cost 1 inf + 0
10.591 * * [simplify]: Extracting #1: cost 4 inf + 0
10.591 * * [simplify]: Extracting #2: cost 8 inf + 0
10.591 * * [simplify]: Extracting #3: cost 12 inf + 0
10.591 * * [simplify]: Extracting #4: cost 10 inf + 2
10.591 * * [simplify]: Extracting #5: cost 4 inf + 508
10.591 * * [simplify]: Extracting #6: cost 1 inf + 1072
10.591 * * [simplify]: Extracting #7: cost 0 inf + 1374
10.592 * [simplify]: Simplified to (+ (log (sin phi2)) (log (sin phi1)))
10.592 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (+ (log (sin phi2)) (log (sin phi1)))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
10.592 * * * * [progress]: [ 59 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (log (* (sin phi1) (sin phi2)))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
10.592 * * * * [progress]: [ 60 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
10.592 * * * * [progress]: [ 61 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
10.592 * [simplify]: Simplifying (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))
10.592 * * [simplify]: iters left: 6 (9 enodes)
10.594 * * [simplify]: iters left: 5 (34 enodes)
10.599 * * [simplify]: iters left: 4 (63 enodes)
10.623 * * [simplify]: iters left: 3 (122 enodes)
10.661 * * [simplify]: iters left: 2 (196 enodes)
10.730 * * [simplify]: iters left: 1 (356 enodes)
10.866 * * [simplify]: Extracting #0: cost 1 inf + 0
10.866 * * [simplify]: Extracting #1: cost 70 inf + 0
10.866 * * [simplify]: Extracting #2: cost 169 inf + 1
10.867 * * [simplify]: Extracting #3: cost 154 inf + 2658
10.871 * * [simplify]: Extracting #4: cost 86 inf + 31524
10.884 * * [simplify]: Extracting #5: cost 7 inf + 77226
10.901 * * [simplify]: Extracting #6: cost 0 inf + 81813
10.917 * [simplify]: Simplified to (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1)))
10.917 * [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 lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
10.917 * * * * [progress]: [ 62 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2)))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
10.918 * * * * [progress]: [ 63 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
10.918 * * * * [progress]: [ 64 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2)))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
10.918 * * * * [progress]: [ 65 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* 1 (* (sin phi1) (sin phi2))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
10.918 * * * * [progress]: [ 66 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2)))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
10.918 * [simplify]: Simplifying (* (sqrt (sin phi1)) (sqrt (sin phi2)))
10.918 * * [simplify]: iters left: 4 (7 enodes)
10.921 * * [simplify]: iters left: 3 (22 enodes)
10.927 * * [simplify]: Extracting #0: cost 1 inf + 0
10.927 * * [simplify]: Extracting #1: cost 4 inf + 0
10.927 * * [simplify]: Extracting #2: cost 8 inf + 0
10.927 * * [simplify]: Extracting #3: cost 12 inf + 0
10.927 * * [simplify]: Extracting #4: cost 10 inf + 2
10.927 * * [simplify]: Extracting #5: cost 4 inf + 448
10.928 * * [simplify]: Extracting #6: cost 1 inf + 892
10.928 * * [simplify]: Extracting #7: cost 0 inf + 1134
10.928 * [simplify]: Simplified to (* (sqrt (sin phi1)) (sqrt (sin phi2)))
10.928 * [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 lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
10.928 * [simplify]: Simplifying (* (sqrt (sin phi1)) (sqrt (sin phi2)))
10.928 * * [simplify]: iters left: 4 (7 enodes)
10.930 * * [simplify]: iters left: 3 (22 enodes)
10.932 * * [simplify]: Extracting #0: cost 1 inf + 0
10.932 * * [simplify]: Extracting #1: cost 4 inf + 0
10.932 * * [simplify]: Extracting #2: cost 8 inf + 0
10.932 * * [simplify]: Extracting #3: cost 12 inf + 0
10.932 * * [simplify]: Extracting #4: cost 10 inf + 2
10.933 * * [simplify]: Extracting #5: cost 4 inf + 448
10.933 * * [simplify]: Extracting #6: cost 1 inf + 892
10.933 * * [simplify]: Extracting #7: cost 0 inf + 1134
10.933 * [simplify]: Simplified to (* (sqrt (sin phi1)) (sqrt (sin phi2)))
10.933 * [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 lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
10.933 * * * * [progress]: [ 67 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
10.933 * [simplify]: Simplifying (cbrt (sin phi2))
10.933 * * [simplify]: iters left: 2 (3 enodes)
10.934 * * [simplify]: iters left: 1 (9 enodes)
10.935 * * [simplify]: Extracting #0: cost 1 inf + 0
10.935 * * [simplify]: Extracting #1: cost 3 inf + 0
10.935 * * [simplify]: Extracting #2: cost 5 inf + 0
10.935 * * [simplify]: Extracting #3: cost 4 inf + 1
10.935 * * [simplify]: Extracting #4: cost 0 inf + 405
10.935 * [simplify]: Simplified to (cbrt (sin phi2))
10.935 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
10.935 * * * * [progress]: [ 68 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (sqrt (sin phi2))) (sqrt (sin phi2))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
10.936 * [simplify]: Simplifying (sqrt (sin phi2))
10.936 * * [simplify]: iters left: 2 (3 enodes)
10.936 * * [simplify]: iters left: 1 (9 enodes)
10.937 * * [simplify]: Extracting #0: cost 1 inf + 0
10.937 * * [simplify]: Extracting #1: cost 3 inf + 0
10.937 * * [simplify]: Extracting #2: cost 5 inf + 0
10.937 * * [simplify]: Extracting #3: cost 4 inf + 1
10.938 * * [simplify]: Extracting #4: cost 0 inf + 325
10.938 * [simplify]: Simplified to (sqrt (sin phi2))
10.938 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (sqrt (sin phi2))) (sqrt (sin phi2))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
10.938 * * * * [progress]: [ 69 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) 1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
10.938 * [simplify]: Simplifying (sin phi2)
10.938 * * [simplify]: iters left: 1 (2 enodes)
10.938 * * [simplify]: Extracting #0: cost 1 inf + 0
10.938 * * [simplify]: Extracting #1: cost 3 inf + 0
10.938 * * [simplify]: Extracting #2: cost 2 inf + 1
10.938 * * [simplify]: Extracting #3: cost 0 inf + 123
10.939 * [simplify]: Simplified to (sin phi2)
10.939 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) 1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
10.939 * * * * [progress]: [ 70 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
10.939 * [simplify]: Simplifying (* (cbrt (sin phi1)) (cbrt (sin phi1)))
10.939 * * [simplify]: iters left: 4 (4 enodes)
10.943 * * [simplify]: iters left: 3 (12 enodes)
10.945 * * [simplify]: Extracting #0: cost 1 inf + 0
10.945 * * [simplify]: Extracting #1: cost 3 inf + 0
10.945 * * [simplify]: Extracting #2: cost 5 inf + 0
10.945 * * [simplify]: Extracting #3: cost 7 inf + 0
10.945 * * [simplify]: Extracting #4: cost 6 inf + 1
10.945 * * [simplify]: Extracting #5: cost 0 inf + 767
10.945 * [simplify]: Simplified to (* (cbrt (sin phi1)) (cbrt (sin phi1)))
10.945 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
10.946 * * * * [progress]: [ 71 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
10.946 * [simplify]: Simplifying (sqrt (sin phi1))
10.946 * * [simplify]: iters left: 2 (3 enodes)
10.947 * * [simplify]: iters left: 1 (9 enodes)
10.948 * * [simplify]: Extracting #0: cost 1 inf + 0
10.948 * * [simplify]: Extracting #1: cost 3 inf + 0
10.948 * * [simplify]: Extracting #2: cost 5 inf + 0
10.948 * * [simplify]: Extracting #3: cost 4 inf + 1
10.948 * * [simplify]: Extracting #4: cost 0 inf + 325
10.948 * [simplify]: Simplified to (sqrt (sin phi1))
10.948 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
10.948 * * * * [progress]: [ 72 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* 1 (* (sin phi1) (sin phi2))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
10.948 * * * * [progress]: [ 73 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (posit16->real (real->posit16 (* (sin phi1) (sin phi2)))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
10.948 * * * * [progress]: [ 74 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
10.948 * * * * [progress]: [ 75 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) R))>
10.949 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
10.949 * * [simplify]: iters left: 6 (22 enodes)
10.955 * * [simplify]: iters left: 5 (84 enodes)
10.981 * * [simplify]: iters left: 4 (141 enodes)
11.013 * * [simplify]: iters left: 3 (241 enodes)
11.067 * * [simplify]: iters left: 2 (280 enodes)
11.116 * * [simplify]: Extracting #0: cost 1 inf + 0
11.116 * * [simplify]: Extracting #1: cost 3 inf + 0
11.116 * * [simplify]: Extracting #2: cost 10 inf + 0
11.116 * * [simplify]: Extracting #3: cost 46 inf + 0
11.116 * * [simplify]: Extracting #4: cost 80 inf + 0
11.117 * * [simplify]: Extracting #5: cost 63 inf + 1504
11.118 * * [simplify]: Extracting #6: cost 22 inf + 9796
11.122 * * [simplify]: Extracting #7: cost 5 inf + 17031
11.126 * * [simplify]: Extracting #8: cost 0 inf + 19888
11.129 * * [simplify]: Extracting #9: cost 0 inf + 19728
11.132 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))
11.132 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) R))
11.132 * * * * [progress]: [ 76 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R))>
11.132 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
11.133 * * [simplify]: iters left: 6 (22 enodes)
11.137 * * [simplify]: iters left: 5 (84 enodes)
11.150 * * [simplify]: iters left: 4 (141 enodes)
11.178 * * [simplify]: iters left: 3 (241 enodes)
11.232 * * [simplify]: iters left: 2 (280 enodes)
11.276 * * [simplify]: Extracting #0: cost 1 inf + 0
11.277 * * [simplify]: Extracting #1: cost 3 inf + 0
11.277 * * [simplify]: Extracting #2: cost 10 inf + 0
11.277 * * [simplify]: Extracting #3: cost 46 inf + 0
11.277 * * [simplify]: Extracting #4: cost 80 inf + 0
11.278 * * [simplify]: Extracting #5: cost 58 inf + 2112
11.281 * * [simplify]: Extracting #6: cost 20 inf + 10221
11.287 * * [simplify]: Extracting #7: cost 2 inf + 18300
11.293 * * [simplify]: Extracting #8: cost 0 inf + 19888
11.300 * * [simplify]: Extracting #9: cost 0 inf + 19728
11.306 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))
11.306 * [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))
11.307 * * * * [progress]: [ 77 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R))>
11.307 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
11.307 * * [simplify]: iters left: 6 (22 enodes)
11.317 * * [simplify]: iters left: 5 (84 enodes)
11.343 * * [simplify]: iters left: 4 (141 enodes)
11.373 * * [simplify]: iters left: 3 (241 enodes)
11.442 * * [simplify]: iters left: 2 (280 enodes)
11.516 * * [simplify]: Extracting #0: cost 1 inf + 0
11.516 * * [simplify]: Extracting #1: cost 3 inf + 0
11.516 * * [simplify]: Extracting #2: cost 10 inf + 0
11.516 * * [simplify]: Extracting #3: cost 46 inf + 0
11.517 * * [simplify]: Extracting #4: cost 80 inf + 0
11.517 * * [simplify]: Extracting #5: cost 63 inf + 1504
11.520 * * [simplify]: Extracting #6: cost 22 inf + 9796
11.526 * * [simplify]: Extracting #7: cost 5 inf + 17031
11.532 * * [simplify]: Extracting #8: cost 0 inf + 19888
11.535 * * [simplify]: Extracting #9: cost 0 inf + 19728
11.538 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))
11.538 * [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))
11.538 * * * * [progress]: [ 78 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))))>
11.539 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
11.539 * * [simplify]: iters left: 6 (24 enodes)
11.544 * * [simplify]: iters left: 5 (91 enodes)
11.557 * * [simplify]: iters left: 4 (148 enodes)
11.582 * * [simplify]: iters left: 3 (248 enodes)
11.660 * * [simplify]: iters left: 2 (295 enodes)
11.698 * * [simplify]: Extracting #0: cost 1 inf + 0
11.698 * * [simplify]: Extracting #1: cost 4 inf + 0
11.698 * * [simplify]: Extracting #2: cost 5 inf + 1
11.698 * * [simplify]: Extracting #3: cost 12 inf + 1
11.698 * * [simplify]: Extracting #4: cost 48 inf + 1
11.698 * * [simplify]: Extracting #5: cost 82 inf + 1
11.699 * * [simplify]: Extracting #6: cost 71 inf + 634
11.700 * * [simplify]: Extracting #7: cost 31 inf + 8806
11.706 * * [simplify]: Extracting #8: cost 5 inf + 18631
11.712 * * [simplify]: Extracting #9: cost 1 inf + 20704
11.719 * * [simplify]: Extracting #10: cost 0 inf + 21559
11.725 * * [simplify]: Extracting #11: cost 0 inf + 21519
11.728 * [simplify]: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))) (cos phi2))))))
11.728 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))) (cos phi2)))))))
11.728 * * * * [progress]: [ 79 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R))>
11.729 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R)
11.729 * * [simplify]: iters left: 6 (24 enodes)
11.734 * * [simplify]: iters left: 5 (91 enodes)
11.750 * * [simplify]: iters left: 4 (148 enodes)
11.791 * * [simplify]: iters left: 3 (248 enodes)
11.857 * * [simplify]: iters left: 2 (292 enodes)
11.915 * * [simplify]: Extracting #0: cost 1 inf + 0
11.915 * * [simplify]: Extracting #1: cost 4 inf + 0
11.915 * * [simplify]: Extracting #2: cost 5 inf + 1
11.915 * * [simplify]: Extracting #3: cost 12 inf + 1
11.915 * * [simplify]: Extracting #4: cost 48 inf + 1
11.915 * * [simplify]: Extracting #5: cost 82 inf + 1
11.916 * * [simplify]: Extracting #6: cost 61 inf + 2052
11.917 * * [simplify]: Extracting #7: cost 23 inf + 9919
11.920 * * [simplify]: Extracting #8: cost 4 inf + 18021
11.923 * * [simplify]: Extracting #9: cost 1 inf + 20624
11.927 * * [simplify]: Extracting #10: cost 0 inf + 21519
11.931 * [simplify]: Simplified to (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R)
11.931 * [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))
11.931 * * * * [progress]: [ 80 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))>
11.931 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
11.931 * * [simplify]: iters left: 6 (24 enodes)
11.936 * * [simplify]: iters left: 5 (91 enodes)
11.950 * * [simplify]: iters left: 4 (148 enodes)
11.975 * * [simplify]: iters left: 3 (248 enodes)
12.048 * * [simplify]: iters left: 2 (295 enodes)
12.096 * * [simplify]: Extracting #0: cost 1 inf + 0
12.096 * * [simplify]: Extracting #1: cost 4 inf + 0
12.096 * * [simplify]: Extracting #2: cost 5 inf + 1
12.096 * * [simplify]: Extracting #3: cost 12 inf + 1
12.096 * * [simplify]: Extracting #4: cost 48 inf + 1
12.097 * * [simplify]: Extracting #5: cost 82 inf + 1
12.097 * * [simplify]: Extracting #6: cost 71 inf + 634
12.100 * * [simplify]: Extracting #7: cost 31 inf + 8806
12.106 * * [simplify]: Extracting #8: cost 5 inf + 18631
12.113 * * [simplify]: Extracting #9: cost 1 inf + 20704
12.120 * * [simplify]: Extracting #10: cost 0 inf + 21559
12.126 * * [simplify]: Extracting #11: cost 0 inf + 21519
12.133 * [simplify]: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))
12.133 * [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)))))))
12.134 * * * * [progress]: [ 81 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (- 1 (+ (* 1/2 (pow lambda1 2)) (* 1/2 (pow lambda2 2)))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
12.134 * [simplify]: Simplifying (- 1 (+ (* 1/2 (pow lambda1 2)) (* 1/2 (pow lambda2 2))))
12.135 * * [simplify]: iters left: 6 (11 enodes)
12.142 * * [simplify]: iters left: 5 (51 enodes)
12.156 * * [simplify]: iters left: 4 (84 enodes)
12.170 * * [simplify]: iters left: 3 (144 enodes)
12.196 * * [simplify]: iters left: 2 (197 enodes)
12.234 * * [simplify]: iters left: 1 (241 enodes)
12.305 * * [simplify]: Extracting #0: cost 1 inf + 0
12.305 * * [simplify]: Extracting #1: cost 16 inf + 0
12.305 * * [simplify]: Extracting #2: cost 45 inf + 2
12.306 * * [simplify]: Extracting #3: cost 49 inf + 332
12.308 * * [simplify]: Extracting #4: cost 16 inf + 3195
12.311 * * [simplify]: Extracting #5: cost 1 inf + 5438
12.314 * * [simplify]: Extracting #6: cost 0 inf + 5561
12.317 * [simplify]: Simplified to (- (* -1/2 (+ (* lambda2 lambda2) (* lambda1 lambda1))) -1)
12.317 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (- (* -1/2 (+ (* lambda2 lambda2) (* lambda1 lambda1))) -1) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
12.318 * * * * [progress]: [ 82 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
12.318 * [simplify]: Simplifying (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2))))
12.318 * * [simplify]: iters left: 6 (11 enodes)
12.323 * * [simplify]: iters left: 5 (40 enodes)
12.334 * * [simplify]: iters left: 4 (64 enodes)
12.354 * * [simplify]: iters left: 3 (100 enodes)
12.386 * * [simplify]: iters left: 2 (116 enodes)
12.410 * * [simplify]: Extracting #0: cost 1 inf + 0
12.410 * * [simplify]: Extracting #1: cost 16 inf + 0
12.411 * * [simplify]: Extracting #2: cost 34 inf + 0
12.411 * * [simplify]: Extracting #3: cost 23 inf + 633
12.412 * * [simplify]: Extracting #4: cost 5 inf + 4155
12.414 * * [simplify]: Extracting #5: cost 0 inf + 5268
12.416 * [simplify]: Simplified to (* (* (cos phi2) (cos lambda2)) (* (cos lambda1) (cos phi1)))
12.416 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi2) (cos lambda2)) (* (cos lambda1) (cos phi1))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
12.416 * * * * [progress]: [ 83 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
12.417 * [simplify]: Simplifying (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2))))
12.417 * * [simplify]: iters left: 6 (11 enodes)
12.421 * * [simplify]: iters left: 5 (40 enodes)
12.433 * * [simplify]: iters left: 4 (64 enodes)
12.453 * * [simplify]: iters left: 3 (100 enodes)
12.483 * * [simplify]: iters left: 2 (116 enodes)
12.496 * * [simplify]: Extracting #0: cost 1 inf + 0
12.496 * * [simplify]: Extracting #1: cost 16 inf + 0
12.496 * * [simplify]: Extracting #2: cost 34 inf + 0
12.497 * * [simplify]: Extracting #3: cost 23 inf + 633
12.497 * * [simplify]: Extracting #4: cost 5 inf + 4155
12.498 * * [simplify]: Extracting #5: cost 0 inf + 5268
12.499 * [simplify]: Simplified to (* (* (cos phi2) (cos lambda2)) (* (cos lambda1) (cos phi1)))
12.499 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi2) (cos lambda2)) (* (cos lambda1) (cos phi1))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
12.499 * * * * [progress]: [ 84 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* phi1 phi2) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
12.499 * [simplify]: Simplifying (* phi1 phi2)
12.500 * * [simplify]: iters left: 2 (3 enodes)
12.500 * * [simplify]: iters left: 1 (10 enodes)
12.501 * * [simplify]: Extracting #0: cost 1 inf + 0
12.501 * * [simplify]: Extracting #1: cost 4 inf + 0
12.501 * * [simplify]: Extracting #2: cost 2 inf + 2
12.501 * * [simplify]: Extracting #3: cost 0 inf + 86
12.501 * [simplify]: Simplified to (* phi1 phi2)
12.501 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* phi1 phi2) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
12.502 * * * * [progress]: [ 85 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
12.502 * [simplify]: Simplifying (* (sin phi1) (sin phi2))
12.502 * * [simplify]: iters left: 3 (5 enodes)
12.503 * * [simplify]: iters left: 2 (16 enodes)
12.505 * * [simplify]: Extracting #0: cost 1 inf + 0
12.505 * * [simplify]: Extracting #1: cost 4 inf + 0
12.505 * * [simplify]: Extracting #2: cost 8 inf + 0
12.505 * * [simplify]: Extracting #3: cost 4 inf + 124
12.505 * * [simplify]: Extracting #4: cost 0 inf + 570
12.505 * [simplify]: Simplified to (* (sin phi2) (sin phi1))
12.505 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
12.505 * * * * [progress]: [ 86 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
12.505 * [simplify]: Simplifying (* (sin phi1) (sin phi2))
12.505 * * [simplify]: iters left: 3 (5 enodes)
12.506 * * [simplify]: iters left: 2 (16 enodes)
12.508 * * [simplify]: Extracting #0: cost 1 inf + 0
12.508 * * [simplify]: Extracting #1: cost 4 inf + 0
12.508 * * [simplify]: Extracting #2: cost 8 inf + 0
12.508 * * [simplify]: Extracting #3: cost 4 inf + 124
12.508 * * [simplify]: Extracting #4: cost 0 inf + 570
12.508 * [simplify]: Simplified to (* (sin phi2) (sin phi1))
12.509 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
12.509 * * * [progress]: adding candidates to table
14.563 * * [progress]: iteration 3 / 4
14.563 * * * [progress]: picking best candidate
14.764 * * * * [pick]: Picked  #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
14.764 * * * [progress]: localizing error
14.893 * * * [progress]: generating rewritten candidates
14.893 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
14.897 * * * * [progress]: [ 2 / 4 ] rewriting at (2)
14.908 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1)
14.929 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2)
14.985 * * * [progress]: generating series expansions
14.985 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
14.986 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
14.986 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0
14.986 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
14.986 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
14.986 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
14.986 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
14.986 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
14.987 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
14.987 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
14.987 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
14.987 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
14.987 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
14.987 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
14.988 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
14.988 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
14.988 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
14.988 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
14.988 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
14.989 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
14.989 * [taylor]: Taking taylor expansion of 0 in phi2
14.989 * [backup-simplify]: Simplify 0 into 0
14.989 * [taylor]: Taking taylor expansion of 0 in lambda1
14.989 * [backup-simplify]: Simplify 0 into 0
14.989 * [taylor]: Taking taylor expansion of 0 in lambda2
14.989 * [backup-simplify]: Simplify 0 into 0
14.989 * [backup-simplify]: Simplify 0 into 0
14.989 * [taylor]: Taking taylor expansion of 0 in lambda1
14.989 * [backup-simplify]: Simplify 0 into 0
14.989 * [taylor]: Taking taylor expansion of 0 in lambda2
14.989 * [backup-simplify]: Simplify 0 into 0
14.989 * [backup-simplify]: Simplify 0 into 0
14.989 * [taylor]: Taking taylor expansion of 0 in lambda2
14.989 * [backup-simplify]: Simplify 0 into 0
14.989 * [backup-simplify]: Simplify 0 into 0
14.989 * [backup-simplify]: Simplify 0 into 0
14.989 * [taylor]: Taking taylor expansion of 0 in phi2
14.989 * [backup-simplify]: Simplify 0 into 0
14.989 * [taylor]: Taking taylor expansion of 0 in lambda1
14.989 * [backup-simplify]: Simplify 0 into 0
14.989 * [taylor]: Taking taylor expansion of 0 in lambda2
14.989 * [backup-simplify]: Simplify 0 into 0
14.989 * [backup-simplify]: Simplify 0 into 0
14.989 * [taylor]: Taking taylor expansion of 0 in lambda1
14.989 * [backup-simplify]: Simplify 0 into 0
14.989 * [taylor]: Taking taylor expansion of 0 in lambda2
14.989 * [backup-simplify]: Simplify 0 into 0
14.989 * [backup-simplify]: Simplify 0 into 0
14.989 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
14.990 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (cos (/ 1 phi1))) (cos (/ 1 phi2))) (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (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))))))
14.990 * [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 (phi1 phi2 lambda1 lambda2) around 0
14.990 * [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
14.990 * [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))))))
14.990 * [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
14.991 * [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))))))
14.991 * [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
14.991 * [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))))))
14.991 * [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
14.991 * [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))))))
14.992 * [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
14.992 * [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))))))
14.992 * [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
14.992 * [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))))))
14.992 * [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
14.993 * [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))))))
14.993 * [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
14.993 * [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))))))
14.994 * [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))))))
14.994 * [taylor]: Taking taylor expansion of 0 in phi2
14.994 * [backup-simplify]: Simplify 0 into 0
14.994 * [taylor]: Taking taylor expansion of 0 in lambda1
14.994 * [backup-simplify]: Simplify 0 into 0
14.994 * [taylor]: Taking taylor expansion of 0 in lambda2
14.994 * [backup-simplify]: Simplify 0 into 0
14.994 * [backup-simplify]: Simplify 0 into 0
14.994 * [taylor]: Taking taylor expansion of 0 in lambda1
14.994 * [backup-simplify]: Simplify 0 into 0
14.994 * [taylor]: Taking taylor expansion of 0 in lambda2
14.994 * [backup-simplify]: Simplify 0 into 0
14.994 * [backup-simplify]: Simplify 0 into 0
14.994 * [taylor]: Taking taylor expansion of 0 in lambda2
14.994 * [backup-simplify]: Simplify 0 into 0
14.994 * [backup-simplify]: Simplify 0 into 0
14.994 * [backup-simplify]: Simplify 0 into 0
14.994 * [taylor]: Taking taylor expansion of 0 in phi2
14.994 * [backup-simplify]: Simplify 0 into 0
14.994 * [taylor]: Taking taylor expansion of 0 in lambda1
14.994 * [backup-simplify]: Simplify 0 into 0
14.994 * [taylor]: Taking taylor expansion of 0 in lambda2
14.994 * [backup-simplify]: Simplify 0 into 0
14.994 * [backup-simplify]: Simplify 0 into 0
14.994 * [taylor]: Taking taylor expansion of 0 in lambda1
14.994 * [backup-simplify]: Simplify 0 into 0
14.995 * [taylor]: Taking taylor expansion of 0 in lambda2
14.995 * [backup-simplify]: Simplify 0 into 0
14.995 * [backup-simplify]: Simplify 0 into 0
14.995 * [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)))))
14.996 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (cos (/ 1 (- phi1)))) (cos (/ 1 (- phi2)))) (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
14.996 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0
14.996 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2
14.996 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
14.996 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
14.996 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
14.996 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2
14.997 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
14.997 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
14.997 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
14.997 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
14.998 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
14.998 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2
14.998 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
14.998 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
14.999 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
14.999 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2
14.999 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
14.999 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
14.999 * [taylor]: Taking taylor expansion of 0 in phi2
14.999 * [backup-simplify]: Simplify 0 into 0
14.999 * [taylor]: Taking taylor expansion of 0 in lambda1
15.000 * [backup-simplify]: Simplify 0 into 0
15.000 * [taylor]: Taking taylor expansion of 0 in lambda2
15.000 * [backup-simplify]: Simplify 0 into 0
15.000 * [backup-simplify]: Simplify 0 into 0
15.000 * [taylor]: Taking taylor expansion of 0 in lambda1
15.000 * [backup-simplify]: Simplify 0 into 0
15.000 * [taylor]: Taking taylor expansion of 0 in lambda2
15.000 * [backup-simplify]: Simplify 0 into 0
15.000 * [backup-simplify]: Simplify 0 into 0
15.000 * [taylor]: Taking taylor expansion of 0 in lambda2
15.000 * [backup-simplify]: Simplify 0 into 0
15.000 * [backup-simplify]: Simplify 0 into 0
15.000 * [backup-simplify]: Simplify 0 into 0
15.000 * [taylor]: Taking taylor expansion of 0 in phi2
15.000 * [backup-simplify]: Simplify 0 into 0
15.000 * [taylor]: Taking taylor expansion of 0 in lambda1
15.000 * [backup-simplify]: Simplify 0 into 0
15.000 * [taylor]: Taking taylor expansion of 0 in lambda2
15.000 * [backup-simplify]: Simplify 0 into 0
15.000 * [backup-simplify]: Simplify 0 into 0
15.000 * [taylor]: Taking taylor expansion of 0 in lambda1
15.000 * [backup-simplify]: Simplify 0 into 0
15.000 * [taylor]: Taking taylor expansion of 0 in lambda2
15.000 * [backup-simplify]: Simplify 0 into 0
15.000 * [backup-simplify]: Simplify 0 into 0
15.000 * [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)))))
15.001 * * * * [progress]: [ 2 / 4 ] generating series at (2)
15.001 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
15.001 * [approximate]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in (phi1 phi2 lambda1 lambda2 R) around 0
15.001 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in R
15.001 * [taylor]: Taking taylor expansion of R in R
15.001 * [backup-simplify]: Simplify 0 into 0
15.001 * [backup-simplify]: Simplify 1 into 1
15.001 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in R
15.001 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
15.001 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
15.001 * [taylor]: Taking taylor expansion of R in lambda2
15.001 * [backup-simplify]: Simplify R into R
15.001 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
15.002 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
15.002 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
15.002 * [taylor]: Taking taylor expansion of R in lambda1
15.002 * [backup-simplify]: Simplify R into R
15.002 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
15.002 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
15.002 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2
15.002 * [taylor]: Taking taylor expansion of R in phi2
15.002 * [backup-simplify]: Simplify R into R
15.002 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
15.002 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
15.002 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1
15.002 * [taylor]: Taking taylor expansion of R in phi1
15.002 * [backup-simplify]: Simplify R into R
15.002 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
15.003 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
15.003 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1
15.003 * [taylor]: Taking taylor expansion of R in phi1
15.003 * [backup-simplify]: Simplify R into R
15.003 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
15.003 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
15.004 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
15.004 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2
15.004 * [taylor]: Taking taylor expansion of R in phi2
15.004 * [backup-simplify]: Simplify R into R
15.004 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
15.005 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
15.005 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
15.005 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
15.005 * [taylor]: Taking taylor expansion of R in lambda1
15.005 * [backup-simplify]: Simplify R into R
15.005 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
15.006 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
15.006 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
15.006 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
15.006 * [taylor]: Taking taylor expansion of R in lambda2
15.006 * [backup-simplify]: Simplify R into R
15.006 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
15.007 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
15.008 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
15.008 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in R
15.008 * [taylor]: Taking taylor expansion of R in R
15.008 * [backup-simplify]: Simplify 0 into 0
15.008 * [backup-simplify]: Simplify 1 into 1
15.008 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in R
15.008 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
15.009 * [backup-simplify]: Simplify (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into 0
15.009 * [backup-simplify]: Simplify 0 into 0
15.010 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
15.010 * [taylor]: Taking taylor expansion of 0 in phi2
15.010 * [backup-simplify]: Simplify 0 into 0
15.010 * [taylor]: Taking taylor expansion of 0 in lambda1
15.010 * [backup-simplify]: Simplify 0 into 0
15.010 * [taylor]: Taking taylor expansion of 0 in lambda2
15.010 * [backup-simplify]: Simplify 0 into 0
15.010 * [taylor]: Taking taylor expansion of 0 in R
15.010 * [backup-simplify]: Simplify 0 into 0
15.010 * [backup-simplify]: Simplify 0 into 0
15.011 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
15.011 * [taylor]: Taking taylor expansion of 0 in lambda1
15.011 * [backup-simplify]: Simplify 0 into 0
15.011 * [taylor]: Taking taylor expansion of 0 in lambda2
15.011 * [backup-simplify]: Simplify 0 into 0
15.011 * [taylor]: Taking taylor expansion of 0 in R
15.011 * [backup-simplify]: Simplify 0 into 0
15.011 * [backup-simplify]: Simplify 0 into 0
15.011 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
15.011 * [taylor]: Taking taylor expansion of 0 in lambda2
15.011 * [backup-simplify]: Simplify 0 into 0
15.012 * [taylor]: Taking taylor expansion of 0 in R
15.012 * [backup-simplify]: Simplify 0 into 0
15.012 * [backup-simplify]: Simplify 0 into 0
15.012 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
15.012 * [taylor]: Taking taylor expansion of 0 in R
15.012 * [backup-simplify]: Simplify 0 into 0
15.012 * [backup-simplify]: Simplify 0 into 0
15.014 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
15.014 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
15.015 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0
15.016 * [taylor]: Taking taylor expansion of 0 in phi2
15.016 * [backup-simplify]: Simplify 0 into 0
15.016 * [taylor]: Taking taylor expansion of 0 in lambda1
15.016 * [backup-simplify]: Simplify 0 into 0
15.016 * [taylor]: Taking taylor expansion of 0 in lambda2
15.016 * [backup-simplify]: Simplify 0 into 0
15.016 * [taylor]: Taking taylor expansion of 0 in R
15.016 * [backup-simplify]: Simplify 0 into 0
15.016 * [backup-simplify]: Simplify 0 into 0
15.016 * [taylor]: Taking taylor expansion of 0 in lambda1
15.016 * [backup-simplify]: Simplify 0 into 0
15.016 * [taylor]: Taking taylor expansion of 0 in lambda2
15.016 * [backup-simplify]: Simplify 0 into 0
15.016 * [taylor]: Taking taylor expansion of 0 in R
15.016 * [backup-simplify]: Simplify 0 into 0
15.016 * [backup-simplify]: Simplify 0 into 0
15.017 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0
15.017 * [taylor]: Taking taylor expansion of 0 in lambda1
15.017 * [backup-simplify]: Simplify 0 into 0
15.017 * [taylor]: Taking taylor expansion of 0 in lambda2
15.017 * [backup-simplify]: Simplify 0 into 0
15.017 * [taylor]: Taking taylor expansion of 0 in R
15.017 * [backup-simplify]: Simplify 0 into 0
15.017 * [backup-simplify]: Simplify 0 into 0
15.017 * [taylor]: Taking taylor expansion of 0 in lambda2
15.017 * [backup-simplify]: Simplify 0 into 0
15.017 * [taylor]: Taking taylor expansion of 0 in R
15.017 * [backup-simplify]: Simplify 0 into 0
15.017 * [backup-simplify]: Simplify 0 into 0
15.017 * [taylor]: Taking taylor expansion of 0 in lambda2
15.017 * [backup-simplify]: Simplify 0 into 0
15.017 * [taylor]: Taking taylor expansion of 0 in R
15.018 * [backup-simplify]: Simplify 0 into 0
15.018 * [backup-simplify]: Simplify 0 into 0
15.019 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0
15.019 * [taylor]: Taking taylor expansion of 0 in lambda2
15.019 * [backup-simplify]: Simplify 0 into 0
15.019 * [taylor]: Taking taylor expansion of 0 in R
15.019 * [backup-simplify]: Simplify 0 into 0
15.019 * [backup-simplify]: Simplify 0 into 0
15.020 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) (* R (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
15.021 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (cos (/ 1 phi1))) (cos (/ 1 phi2))) (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2))))))) (/ 1 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)
15.021 * [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 (phi1 phi2 lambda1 lambda2 R) around 0
15.021 * [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
15.021 * [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
15.022 * [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))))))
15.022 * [taylor]: Taking taylor expansion of R in R
15.022 * [backup-simplify]: Simplify 0 into 0
15.022 * [backup-simplify]: Simplify 1 into 1
15.023 * [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))))))
15.023 * [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
15.023 * [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
15.024 * [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))))))
15.024 * [taylor]: Taking taylor expansion of R in lambda2
15.024 * [backup-simplify]: Simplify R into R
15.025 * [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)
15.025 * [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
15.025 * [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
15.025 * [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))))))
15.025 * [taylor]: Taking taylor expansion of R in lambda1
15.026 * [backup-simplify]: Simplify R into R
15.026 * [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)
15.026 * [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
15.026 * [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
15.027 * [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))))))
15.027 * [taylor]: Taking taylor expansion of R in phi2
15.027 * [backup-simplify]: Simplify R into R
15.028 * [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)
15.028 * [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
15.028 * [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
15.031 * [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))))))
15.031 * [taylor]: Taking taylor expansion of R in phi1
15.031 * [backup-simplify]: Simplify R into R
15.032 * [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)
15.032 * [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
15.032 * [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
15.033 * [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))))))
15.033 * [taylor]: Taking taylor expansion of R in phi1
15.033 * [backup-simplify]: Simplify R into R
15.034 * [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)
15.034 * [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
15.034 * [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
15.035 * [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))))))
15.035 * [taylor]: Taking taylor expansion of R in phi2
15.035 * [backup-simplify]: Simplify R into R
15.035 * [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)
15.036 * [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
15.036 * [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
15.036 * [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))))))
15.036 * [taylor]: Taking taylor expansion of R in lambda1
15.036 * [backup-simplify]: Simplify R into R
15.037 * [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)
15.037 * [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
15.037 * [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
15.038 * [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))))))
15.038 * [taylor]: Taking taylor expansion of R in lambda2
15.038 * [backup-simplify]: Simplify R into R
15.039 * [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)
15.039 * [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
15.039 * [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
15.039 * [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))))))
15.039 * [taylor]: Taking taylor expansion of R in R
15.039 * [backup-simplify]: Simplify 0 into 0
15.040 * [backup-simplify]: Simplify 1 into 1
15.040 * [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))))))
15.040 * [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))))))
15.041 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (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) (/ 0 R)))) into 0
15.041 * [taylor]: Taking taylor expansion of 0 in phi2
15.041 * [backup-simplify]: Simplify 0 into 0
15.041 * [taylor]: Taking taylor expansion of 0 in lambda1
15.041 * [backup-simplify]: Simplify 0 into 0
15.041 * [taylor]: Taking taylor expansion of 0 in lambda2
15.041 * [backup-simplify]: Simplify 0 into 0
15.041 * [taylor]: Taking taylor expansion of 0 in R
15.041 * [backup-simplify]: Simplify 0 into 0
15.041 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (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) (/ 0 R)))) into 0
15.042 * [taylor]: Taking taylor expansion of 0 in lambda1
15.042 * [backup-simplify]: Simplify 0 into 0
15.042 * [taylor]: Taking taylor expansion of 0 in lambda2
15.042 * [backup-simplify]: Simplify 0 into 0
15.042 * [taylor]: Taking taylor expansion of 0 in R
15.042 * [backup-simplify]: Simplify 0 into 0
15.042 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (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) (/ 0 R)))) into 0
15.042 * [taylor]: Taking taylor expansion of 0 in lambda2
15.042 * [backup-simplify]: Simplify 0 into 0
15.042 * [taylor]: Taking taylor expansion of 0 in R
15.042 * [backup-simplify]: Simplify 0 into 0
15.043 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (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) (/ 0 R)))) into 0
15.043 * [taylor]: Taking taylor expansion of 0 in R
15.043 * [backup-simplify]: Simplify 0 into 0
15.044 * [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
15.044 * [backup-simplify]: Simplify 0 into 0
15.044 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (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) (/ 0 R)) (* 0 (/ 0 R)))) into 0
15.044 * [taylor]: Taking taylor expansion of 0 in phi2
15.045 * [backup-simplify]: Simplify 0 into 0
15.045 * [taylor]: Taking taylor expansion of 0 in lambda1
15.045 * [backup-simplify]: Simplify 0 into 0
15.045 * [taylor]: Taking taylor expansion of 0 in lambda2
15.045 * [backup-simplify]: Simplify 0 into 0
15.045 * [taylor]: Taking taylor expansion of 0 in R
15.045 * [backup-simplify]: Simplify 0 into 0
15.045 * [taylor]: Taking taylor expansion of 0 in lambda1
15.045 * [backup-simplify]: Simplify 0 into 0
15.045 * [taylor]: Taking taylor expansion of 0 in lambda2
15.045 * [backup-simplify]: Simplify 0 into 0
15.045 * [taylor]: Taking taylor expansion of 0 in R
15.045 * [backup-simplify]: Simplify 0 into 0
15.045 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (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) (/ 0 R)) (* 0 (/ 0 R)))) into 0
15.045 * [taylor]: Taking taylor expansion of 0 in lambda1
15.045 * [backup-simplify]: Simplify 0 into 0
15.045 * [taylor]: Taking taylor expansion of 0 in lambda2
15.045 * [backup-simplify]: Simplify 0 into 0
15.045 * [taylor]: Taking taylor expansion of 0 in R
15.045 * [backup-simplify]: Simplify 0 into 0
15.045 * [taylor]: Taking taylor expansion of 0 in lambda2
15.045 * [backup-simplify]: Simplify 0 into 0
15.045 * [taylor]: Taking taylor expansion of 0 in R
15.045 * [backup-simplify]: Simplify 0 into 0
15.045 * [taylor]: Taking taylor expansion of 0 in lambda2
15.045 * [backup-simplify]: Simplify 0 into 0
15.045 * [taylor]: Taking taylor expansion of 0 in R
15.045 * [backup-simplify]: Simplify 0 into 0
15.046 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (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) (/ 0 R)) (* 0 (/ 0 R)))) into 0
15.046 * [taylor]: Taking taylor expansion of 0 in lambda2
15.046 * [backup-simplify]: Simplify 0 into 0
15.046 * [taylor]: Taking taylor expansion of 0 in R
15.046 * [backup-simplify]: Simplify 0 into 0
15.046 * [taylor]: Taking taylor expansion of 0 in R
15.046 * [backup-simplify]: Simplify 0 into 0
15.046 * [taylor]: Taking taylor expansion of 0 in R
15.046 * [backup-simplify]: Simplify 0 into 0
15.046 * [taylor]: Taking taylor expansion of 0 in R
15.046 * [backup-simplify]: Simplify 0 into 0
15.047 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (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) (/ 0 R)) (* 0 (/ 0 R)))) into 0
15.047 * [taylor]: Taking taylor expansion of 0 in R
15.047 * [backup-simplify]: Simplify 0 into 0
15.047 * [backup-simplify]: Simplify 0 into 0
15.047 * [backup-simplify]: Simplify 0 into 0
15.047 * [backup-simplify]: Simplify 0 into 0
15.047 * [backup-simplify]: Simplify 0 into 0
15.048 * [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
15.048 * [backup-simplify]: Simplify 0 into 0
15.049 * [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 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)
15.050 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (cos (/ 1 (- phi1)))) (cos (/ 1 (- phi2)))) (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))))))) (/ 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))
15.050 * [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
15.050 * [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
15.050 * [taylor]: Taking taylor expansion of -1 in R
15.050 * [backup-simplify]: Simplify -1 into -1
15.050 * [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
15.050 * [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
15.050 * [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))))))))
15.050 * [taylor]: Taking taylor expansion of R in R
15.050 * [backup-simplify]: Simplify 0 into 0
15.050 * [backup-simplify]: Simplify 1 into 1
15.051 * [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))))))))
15.051 * [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
15.051 * [taylor]: Taking taylor expansion of -1 in lambda2
15.051 * [backup-simplify]: Simplify -1 into -1
15.051 * [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
15.051 * [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
15.051 * [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))))))))
15.051 * [taylor]: Taking taylor expansion of R in lambda2
15.051 * [backup-simplify]: Simplify R into R
15.051 * [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)
15.052 * [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
15.052 * [taylor]: Taking taylor expansion of -1 in lambda1
15.052 * [backup-simplify]: Simplify -1 into -1
15.052 * [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
15.052 * [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
15.052 * [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))))))))
15.052 * [taylor]: Taking taylor expansion of R in lambda1
15.052 * [backup-simplify]: Simplify R into R
15.052 * [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)
15.052 * [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
15.052 * [taylor]: Taking taylor expansion of -1 in phi2
15.052 * [backup-simplify]: Simplify -1 into -1
15.053 * [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
15.053 * [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
15.053 * [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))))))))
15.053 * [taylor]: Taking taylor expansion of R in phi2
15.053 * [backup-simplify]: Simplify R into R
15.054 * [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)
15.054 * [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
15.054 * [taylor]: Taking taylor expansion of -1 in phi1
15.054 * [backup-simplify]: Simplify -1 into -1
15.054 * [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
15.054 * [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
15.054 * [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))))))))
15.054 * [taylor]: Taking taylor expansion of R in phi1
15.054 * [backup-simplify]: Simplify R into R
15.055 * [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)
15.055 * [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
15.055 * [taylor]: Taking taylor expansion of -1 in phi1
15.055 * [backup-simplify]: Simplify -1 into -1
15.055 * [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
15.055 * [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
15.055 * [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))))))))
15.055 * [taylor]: Taking taylor expansion of R in phi1
15.055 * [backup-simplify]: Simplify R into R
15.055 * [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)
15.056 * [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))
15.056 * [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
15.056 * [taylor]: Taking taylor expansion of -1 in phi2
15.056 * [backup-simplify]: Simplify -1 into -1
15.056 * [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
15.056 * [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
15.056 * [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))))))))
15.057 * [taylor]: Taking taylor expansion of R in phi2
15.057 * [backup-simplify]: Simplify R into R
15.057 * [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)
15.057 * [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))
15.057 * [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
15.057 * [taylor]: Taking taylor expansion of -1 in lambda1
15.057 * [backup-simplify]: Simplify -1 into -1
15.057 * [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
15.057 * [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
15.058 * [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))))))))
15.058 * [taylor]: Taking taylor expansion of R in lambda1
15.058 * [backup-simplify]: Simplify R into R
15.058 * [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)
15.059 * [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))
15.059 * [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
15.059 * [taylor]: Taking taylor expansion of -1 in lambda2
15.059 * [backup-simplify]: Simplify -1 into -1
15.059 * [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
15.059 * [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
15.059 * [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))))))))
15.059 * [taylor]: Taking taylor expansion of R in lambda2
15.059 * [backup-simplify]: Simplify R into R
15.060 * [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)
15.060 * [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))
15.060 * [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
15.060 * [taylor]: Taking taylor expansion of -1 in R
15.060 * [backup-simplify]: Simplify -1 into -1
15.060 * [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
15.060 * [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
15.061 * [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))))))))
15.061 * [taylor]: Taking taylor expansion of R in R
15.061 * [backup-simplify]: Simplify 0 into 0
15.061 * [backup-simplify]: Simplify 1 into 1
15.061 * [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))))))))
15.061 * [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)))))))))
15.062 * [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)))))))))
15.062 * [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
15.063 * [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
15.063 * [taylor]: Taking taylor expansion of 0 in phi2
15.063 * [backup-simplify]: Simplify 0 into 0
15.063 * [taylor]: Taking taylor expansion of 0 in lambda1
15.063 * [backup-simplify]: Simplify 0 into 0
15.063 * [taylor]: Taking taylor expansion of 0 in lambda2
15.063 * [backup-simplify]: Simplify 0 into 0
15.063 * [taylor]: Taking taylor expansion of 0 in R
15.063 * [backup-simplify]: Simplify 0 into 0
15.064 * [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
15.065 * [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
15.065 * [taylor]: Taking taylor expansion of 0 in lambda1
15.065 * [backup-simplify]: Simplify 0 into 0
15.065 * [taylor]: Taking taylor expansion of 0 in lambda2
15.065 * [backup-simplify]: Simplify 0 into 0
15.065 * [taylor]: Taking taylor expansion of 0 in R
15.065 * [backup-simplify]: Simplify 0 into 0
15.065 * [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
15.066 * [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
15.066 * [taylor]: Taking taylor expansion of 0 in lambda2
15.066 * [backup-simplify]: Simplify 0 into 0
15.066 * [taylor]: Taking taylor expansion of 0 in R
15.066 * [backup-simplify]: Simplify 0 into 0
15.067 * [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
15.067 * [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
15.067 * [taylor]: Taking taylor expansion of 0 in R
15.067 * [backup-simplify]: Simplify 0 into 0
15.068 * [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
15.069 * [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
15.069 * [backup-simplify]: Simplify 0 into 0
15.070 * [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
15.071 * [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
15.071 * [taylor]: Taking taylor expansion of 0 in phi2
15.071 * [backup-simplify]: Simplify 0 into 0
15.071 * [taylor]: Taking taylor expansion of 0 in lambda1
15.071 * [backup-simplify]: Simplify 0 into 0
15.071 * [taylor]: Taking taylor expansion of 0 in lambda2
15.071 * [backup-simplify]: Simplify 0 into 0
15.071 * [taylor]: Taking taylor expansion of 0 in R
15.071 * [backup-simplify]: Simplify 0 into 0
15.071 * [taylor]: Taking taylor expansion of 0 in lambda1
15.071 * [backup-simplify]: Simplify 0 into 0
15.071 * [taylor]: Taking taylor expansion of 0 in lambda2
15.071 * [backup-simplify]: Simplify 0 into 0
15.071 * [taylor]: Taking taylor expansion of 0 in R
15.071 * [backup-simplify]: Simplify 0 into 0
15.071 * [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
15.073 * [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
15.073 * [taylor]: Taking taylor expansion of 0 in lambda1
15.073 * [backup-simplify]: Simplify 0 into 0
15.073 * [taylor]: Taking taylor expansion of 0 in lambda2
15.073 * [backup-simplify]: Simplify 0 into 0
15.073 * [taylor]: Taking taylor expansion of 0 in R
15.073 * [backup-simplify]: Simplify 0 into 0
15.073 * [taylor]: Taking taylor expansion of 0 in lambda2
15.073 * [backup-simplify]: Simplify 0 into 0
15.073 * [taylor]: Taking taylor expansion of 0 in R
15.073 * [backup-simplify]: Simplify 0 into 0
15.073 * [taylor]: Taking taylor expansion of 0 in lambda2
15.073 * [backup-simplify]: Simplify 0 into 0
15.074 * [taylor]: Taking taylor expansion of 0 in R
15.074 * [backup-simplify]: Simplify 0 into 0
15.075 * [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
15.076 * [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
15.076 * [taylor]: Taking taylor expansion of 0 in lambda2
15.076 * [backup-simplify]: Simplify 0 into 0
15.076 * [taylor]: Taking taylor expansion of 0 in R
15.076 * [backup-simplify]: Simplify 0 into 0
15.076 * [taylor]: Taking taylor expansion of 0 in R
15.076 * [backup-simplify]: Simplify 0 into 0
15.076 * [taylor]: Taking taylor expansion of 0 in R
15.076 * [backup-simplify]: Simplify 0 into 0
15.076 * [taylor]: Taking taylor expansion of 0 in R
15.076 * [backup-simplify]: Simplify 0 into 0
15.077 * [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
15.078 * [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
15.078 * [taylor]: Taking taylor expansion of 0 in R
15.078 * [backup-simplify]: Simplify 0 into 0
15.078 * [backup-simplify]: Simplify 0 into 0
15.078 * [backup-simplify]: Simplify 0 into 0
15.078 * [backup-simplify]: Simplify 0 into 0
15.078 * [backup-simplify]: Simplify 0 into 0
15.079 * [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
15.080 * [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
15.080 * [backup-simplify]: Simplify 0 into 0
15.081 * [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))))))
15.081 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1)
15.082 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2))
15.082 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0
15.082 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2
15.082 * [taylor]: Taking taylor expansion of (sin phi1) in phi2
15.082 * [taylor]: Taking taylor expansion of phi1 in phi2
15.082 * [backup-simplify]: Simplify phi1 into phi1
15.082 * [backup-simplify]: Simplify (sin phi1) into (sin phi1)
15.082 * [backup-simplify]: Simplify (cos phi1) into (cos phi1)
15.082 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
15.082 * [taylor]: Taking taylor expansion of phi2 in phi2
15.082 * [backup-simplify]: Simplify 0 into 0
15.082 * [backup-simplify]: Simplify 1 into 1
15.082 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
15.082 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
15.082 * [taylor]: Taking taylor expansion of phi1 in phi1
15.082 * [backup-simplify]: Simplify 0 into 0
15.082 * [backup-simplify]: Simplify 1 into 1
15.082 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
15.082 * [taylor]: Taking taylor expansion of phi2 in phi1
15.082 * [backup-simplify]: Simplify phi2 into phi2
15.082 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
15.082 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
15.082 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
15.082 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
15.082 * [taylor]: Taking taylor expansion of phi1 in phi1
15.082 * [backup-simplify]: Simplify 0 into 0
15.082 * [backup-simplify]: Simplify 1 into 1
15.082 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
15.082 * [taylor]: Taking taylor expansion of phi2 in phi1
15.082 * [backup-simplify]: Simplify phi2 into phi2
15.082 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
15.082 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
15.082 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2)
15.082 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0
15.082 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2)
15.082 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0
15.082 * [taylor]: Taking taylor expansion of 0 in phi2
15.082 * [backup-simplify]: Simplify 0 into 0
15.082 * [backup-simplify]: Simplify 0 into 0
15.083 * [backup-simplify]: Simplify (+ 0) into 0
15.083 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0
15.083 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.084 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0
15.084 * [backup-simplify]: Simplify (+ 0 0) into 0
15.084 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.085 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2)
15.085 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
15.085 * [taylor]: Taking taylor expansion of phi2 in phi2
15.085 * [backup-simplify]: Simplify 0 into 0
15.085 * [backup-simplify]: Simplify 1 into 1
15.085 * [backup-simplify]: Simplify 0 into 0
15.085 * [backup-simplify]: Simplify 0 into 0
15.085 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.086 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0
15.086 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.086 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0
15.087 * [backup-simplify]: Simplify (+ 0 0) into 0
15.087 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.088 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0
15.088 * [taylor]: Taking taylor expansion of 0 in phi2
15.088 * [backup-simplify]: Simplify 0 into 0
15.088 * [backup-simplify]: Simplify 0 into 0
15.088 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.088 * [backup-simplify]: Simplify 1 into 1
15.088 * [backup-simplify]: Simplify 0 into 0
15.089 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.089 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.090 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.090 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.091 * [backup-simplify]: Simplify (+ 0 0) into 0
15.092 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.092 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2)))
15.092 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2
15.092 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2
15.092 * [taylor]: Taking taylor expansion of 1/6 in phi2
15.092 * [backup-simplify]: Simplify 1/6 into 1/6
15.092 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
15.092 * [taylor]: Taking taylor expansion of phi2 in phi2
15.092 * [backup-simplify]: Simplify 0 into 0
15.092 * [backup-simplify]: Simplify 1 into 1
15.093 * [backup-simplify]: Simplify (* 1/6 0) into 0
15.093 * [backup-simplify]: Simplify (- 0) into 0
15.093 * [backup-simplify]: Simplify 0 into 0
15.093 * [backup-simplify]: Simplify 0 into 0
15.093 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.093 * [backup-simplify]: Simplify 0 into 0
15.093 * [backup-simplify]: Simplify 0 into 0
15.095 * [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
15.095 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
15.096 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
15.097 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
15.097 * [backup-simplify]: Simplify (+ 0 0) into 0
15.098 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
15.099 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0
15.099 * [taylor]: Taking taylor expansion of 0 in phi2
15.099 * [backup-simplify]: Simplify 0 into 0
15.099 * [backup-simplify]: Simplify 0 into 0
15.099 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2)
15.099 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
15.099 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0
15.099 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2
15.099 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
15.099 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
15.099 * [taylor]: Taking taylor expansion of phi2 in phi2
15.099 * [backup-simplify]: Simplify 0 into 0
15.099 * [backup-simplify]: Simplify 1 into 1
15.099 * [backup-simplify]: Simplify (/ 1 1) into 1
15.099 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
15.099 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
15.099 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
15.099 * [taylor]: Taking taylor expansion of phi1 in phi2
15.099 * [backup-simplify]: Simplify phi1 into phi1
15.099 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
15.099 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
15.099 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
15.099 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1
15.100 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
15.100 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
15.100 * [taylor]: Taking taylor expansion of phi2 in phi1
15.100 * [backup-simplify]: Simplify phi2 into phi2
15.100 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
15.100 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
15.100 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
15.100 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
15.100 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
15.100 * [taylor]: Taking taylor expansion of phi1 in phi1
15.100 * [backup-simplify]: Simplify 0 into 0
15.100 * [backup-simplify]: Simplify 1 into 1
15.100 * [backup-simplify]: Simplify (/ 1 1) into 1
15.100 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
15.100 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1
15.100 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
15.100 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
15.100 * [taylor]: Taking taylor expansion of phi2 in phi1
15.100 * [backup-simplify]: Simplify phi2 into phi2
15.100 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
15.100 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
15.100 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
15.100 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
15.100 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
15.100 * [taylor]: Taking taylor expansion of phi1 in phi1
15.100 * [backup-simplify]: Simplify 0 into 0
15.100 * [backup-simplify]: Simplify 1 into 1
15.101 * [backup-simplify]: Simplify (/ 1 1) into 1
15.101 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
15.101 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2))
15.101 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0
15.101 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2))
15.101 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
15.101 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2
15.101 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
15.101 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
15.101 * [taylor]: Taking taylor expansion of phi2 in phi2
15.101 * [backup-simplify]: Simplify 0 into 0
15.101 * [backup-simplify]: Simplify 1 into 1
15.101 * [backup-simplify]: Simplify (/ 1 1) into 1
15.101 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
15.101 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
15.101 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
15.101 * [taylor]: Taking taylor expansion of phi1 in phi2
15.101 * [backup-simplify]: Simplify phi1 into phi1
15.101 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
15.101 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
15.101 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
15.101 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1))
15.102 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0
15.102 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1))
15.102 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
15.102 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
15.102 * [backup-simplify]: Simplify (+ 0) into 0
15.102 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0
15.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
15.103 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.103 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0
15.103 * [backup-simplify]: Simplify (+ 0 0) into 0
15.103 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0
15.103 * [taylor]: Taking taylor expansion of 0 in phi2
15.103 * [backup-simplify]: Simplify 0 into 0
15.103 * [backup-simplify]: Simplify 0 into 0
15.104 * [backup-simplify]: Simplify (+ 0) into 0
15.104 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0
15.104 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
15.105 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.105 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0
15.105 * [backup-simplify]: Simplify (+ 0 0) into 0
15.105 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0
15.105 * [backup-simplify]: Simplify 0 into 0
15.106 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.106 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
15.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
15.107 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.107 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
15.108 * [backup-simplify]: Simplify (+ 0 0) into 0
15.108 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0
15.108 * [taylor]: Taking taylor expansion of 0 in phi2
15.108 * [backup-simplify]: Simplify 0 into 0
15.108 * [backup-simplify]: Simplify 0 into 0
15.108 * [backup-simplify]: Simplify 0 into 0
15.109 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.110 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
15.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
15.111 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.111 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
15.112 * [backup-simplify]: Simplify (+ 0 0) into 0
15.112 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0
15.113 * [backup-simplify]: Simplify 0 into 0
15.113 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.114 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
15.119 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.120 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.121 * [backup-simplify]: Simplify (+ 0 0) into 0
15.122 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0
15.122 * [taylor]: Taking taylor expansion of 0 in phi2
15.122 * [backup-simplify]: Simplify 0 into 0
15.122 * [backup-simplify]: Simplify 0 into 0
15.122 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2))
15.122 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
15.122 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0
15.122 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
15.122 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
15.122 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
15.122 * [taylor]: Taking taylor expansion of -1 in phi2
15.122 * [backup-simplify]: Simplify -1 into -1
15.122 * [taylor]: Taking taylor expansion of phi1 in phi2
15.122 * [backup-simplify]: Simplify phi1 into phi1
15.122 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
15.123 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
15.123 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
15.123 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
15.123 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
15.123 * [taylor]: Taking taylor expansion of -1 in phi2
15.123 * [backup-simplify]: Simplify -1 into -1
15.123 * [taylor]: Taking taylor expansion of phi2 in phi2
15.123 * [backup-simplify]: Simplify 0 into 0
15.123 * [backup-simplify]: Simplify 1 into 1
15.123 * [backup-simplify]: Simplify (/ -1 1) into -1
15.123 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
15.123 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
15.124 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
15.124 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
15.124 * [taylor]: Taking taylor expansion of -1 in phi1
15.124 * [backup-simplify]: Simplify -1 into -1
15.124 * [taylor]: Taking taylor expansion of phi1 in phi1
15.124 * [backup-simplify]: Simplify 0 into 0
15.124 * [backup-simplify]: Simplify 1 into 1
15.124 * [backup-simplify]: Simplify (/ -1 1) into -1
15.124 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
15.124 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
15.124 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
15.125 * [taylor]: Taking taylor expansion of -1 in phi1
15.125 * [backup-simplify]: Simplify -1 into -1
15.125 * [taylor]: Taking taylor expansion of phi2 in phi1
15.125 * [backup-simplify]: Simplify phi2 into phi2
15.125 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
15.125 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
15.125 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
15.125 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
15.125 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
15.125 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
15.125 * [taylor]: Taking taylor expansion of -1 in phi1
15.125 * [backup-simplify]: Simplify -1 into -1
15.125 * [taylor]: Taking taylor expansion of phi1 in phi1
15.125 * [backup-simplify]: Simplify 0 into 0
15.125 * [backup-simplify]: Simplify 1 into 1
15.125 * [backup-simplify]: Simplify (/ -1 1) into -1
15.126 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
15.126 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
15.126 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
15.126 * [taylor]: Taking taylor expansion of -1 in phi1
15.126 * [backup-simplify]: Simplify -1 into -1
15.126 * [taylor]: Taking taylor expansion of phi2 in phi1
15.126 * [backup-simplify]: Simplify phi2 into phi2
15.126 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
15.126 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
15.126 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
15.126 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2))
15.126 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0
15.126 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2))
15.126 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
15.126 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
15.126 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
15.127 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
15.127 * [taylor]: Taking taylor expansion of -1 in phi2
15.127 * [backup-simplify]: Simplify -1 into -1
15.127 * [taylor]: Taking taylor expansion of phi1 in phi2
15.127 * [backup-simplify]: Simplify phi1 into phi1
15.127 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
15.127 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
15.127 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
15.127 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
15.127 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
15.127 * [taylor]: Taking taylor expansion of -1 in phi2
15.127 * [backup-simplify]: Simplify -1 into -1
15.127 * [taylor]: Taking taylor expansion of phi2 in phi2
15.127 * [backup-simplify]: Simplify 0 into 0
15.127 * [backup-simplify]: Simplify 1 into 1
15.128 * [backup-simplify]: Simplify (/ -1 1) into -1
15.128 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
15.128 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1))
15.128 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0
15.128 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1))
15.128 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
15.128 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
15.129 * [backup-simplify]: Simplify (+ 0) into 0
15.129 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0
15.129 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0
15.130 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.131 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0
15.131 * [backup-simplify]: Simplify (+ 0 0) into 0
15.131 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0
15.131 * [taylor]: Taking taylor expansion of 0 in phi2
15.131 * [backup-simplify]: Simplify 0 into 0
15.131 * [backup-simplify]: Simplify 0 into 0
15.132 * [backup-simplify]: Simplify (+ 0) into 0
15.132 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0
15.132 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0
15.133 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.133 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0
15.134 * [backup-simplify]: Simplify (+ 0 0) into 0
15.134 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0
15.134 * [backup-simplify]: Simplify 0 into 0
15.135 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.136 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
15.136 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
15.137 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.137 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
15.138 * [backup-simplify]: Simplify (+ 0 0) into 0
15.138 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
15.138 * [taylor]: Taking taylor expansion of 0 in phi2
15.138 * [backup-simplify]: Simplify 0 into 0
15.138 * [backup-simplify]: Simplify 0 into 0
15.138 * [backup-simplify]: Simplify 0 into 0
15.139 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.140 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
15.140 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
15.141 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.141 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
15.142 * [backup-simplify]: Simplify (+ 0 0) into 0
15.142 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
15.142 * [backup-simplify]: Simplify 0 into 0
15.143 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.144 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.144 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
15.146 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.147 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.147 * [backup-simplify]: Simplify (+ 0 0) into 0
15.148 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0
15.148 * [taylor]: Taking taylor expansion of 0 in phi2
15.148 * [backup-simplify]: Simplify 0 into 0
15.148 * [backup-simplify]: Simplify 0 into 0
15.148 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2))
15.148 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2)
15.148 * [backup-simplify]: Simplify (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) into (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))
15.148 * [approximate]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) in (lambda1 lambda2 phi1 phi2) around 0
15.149 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) in phi2
15.149 * [taylor]: Taking taylor expansion of (cos phi1) in phi2
15.149 * [taylor]: Taking taylor expansion of phi1 in phi2
15.149 * [backup-simplify]: Simplify phi1 into phi1
15.149 * [backup-simplify]: Simplify (cos phi1) into (cos phi1)
15.149 * [backup-simplify]: Simplify (sin phi1) into (sin phi1)
15.149 * [taylor]: Taking taylor expansion of (* (cos phi2) (* (sin lambda1) (sin lambda2))) in phi2
15.149 * [taylor]: Taking taylor expansion of (cos phi2) in phi2
15.149 * [taylor]: Taking taylor expansion of phi2 in phi2
15.149 * [backup-simplify]: Simplify 0 into 0
15.149 * [backup-simplify]: Simplify 1 into 1
15.149 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi2
15.149 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2
15.149 * [taylor]: Taking taylor expansion of lambda1 in phi2
15.149 * [backup-simplify]: Simplify lambda1 into lambda1
15.149 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1)
15.149 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1)
15.149 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2
15.149 * [taylor]: Taking taylor expansion of lambda2 in phi2
15.149 * [backup-simplify]: Simplify lambda2 into lambda2
15.149 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2)
15.149 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2)
15.149 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) in phi1
15.150 * [taylor]: Taking taylor expansion of (cos phi1) in phi1
15.150 * [taylor]: Taking taylor expansion of phi1 in phi1
15.150 * [backup-simplify]: Simplify 0 into 0
15.150 * [backup-simplify]: Simplify 1 into 1
15.150 * [taylor]: Taking taylor expansion of (* (cos phi2) (* (sin lambda1) (sin lambda2))) in phi1
15.150 * [taylor]: Taking taylor expansion of (cos phi2) in phi1
15.150 * [taylor]: Taking taylor expansion of phi2 in phi1
15.150 * [backup-simplify]: Simplify phi2 into phi2
15.150 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
15.150 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
15.150 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi1
15.150 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1
15.150 * [taylor]: Taking taylor expansion of lambda1 in phi1
15.150 * [backup-simplify]: Simplify lambda1 into lambda1
15.150 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1)
15.150 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1)
15.150 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1
15.150 * [taylor]: Taking taylor expansion of lambda2 in phi1
15.150 * [backup-simplify]: Simplify lambda2 into lambda2
15.150 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2)
15.150 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2)
15.150 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) in lambda2
15.150 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2
15.150 * [taylor]: Taking taylor expansion of phi1 in lambda2
15.150 * [backup-simplify]: Simplify phi1 into phi1
15.150 * [backup-simplify]: Simplify (cos phi1) into (cos phi1)
15.150 * [backup-simplify]: Simplify (sin phi1) into (sin phi1)
15.150 * [taylor]: Taking taylor expansion of (* (cos phi2) (* (sin lambda1) (sin lambda2))) in lambda2
15.150 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2
15.150 * [taylor]: Taking taylor expansion of phi2 in lambda2
15.151 * [backup-simplify]: Simplify phi2 into phi2
15.151 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
15.151 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
15.151 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2
15.151 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2
15.151 * [taylor]: Taking taylor expansion of lambda1 in lambda2
15.151 * [backup-simplify]: Simplify lambda1 into lambda1
15.151 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1)
15.151 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1)
15.151 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
15.151 * [taylor]: Taking taylor expansion of lambda2 in lambda2
15.151 * [backup-simplify]: Simplify 0 into 0
15.151 * [backup-simplify]: Simplify 1 into 1
15.151 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) in lambda1
15.151 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1
15.151 * [taylor]: Taking taylor expansion of phi1 in lambda1
15.151 * [backup-simplify]: Simplify phi1 into phi1
15.151 * [backup-simplify]: Simplify (cos phi1) into (cos phi1)
15.151 * [backup-simplify]: Simplify (sin phi1) into (sin phi1)
15.151 * [taylor]: Taking taylor expansion of (* (cos phi2) (* (sin lambda1) (sin lambda2))) in lambda1
15.151 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1
15.151 * [taylor]: Taking taylor expansion of phi2 in lambda1
15.151 * [backup-simplify]: Simplify phi2 into phi2
15.151 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
15.151 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
15.151 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1
15.151 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1
15.151 * [taylor]: Taking taylor expansion of lambda1 in lambda1
15.151 * [backup-simplify]: Simplify 0 into 0
15.151 * [backup-simplify]: Simplify 1 into 1
15.152 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1
15.152 * [taylor]: Taking taylor expansion of lambda2 in lambda1
15.152 * [backup-simplify]: Simplify lambda2 into lambda2
15.152 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2)
15.152 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2)
15.152 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) in lambda1
15.152 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1
15.152 * [taylor]: Taking taylor expansion of phi1 in lambda1
15.152 * [backup-simplify]: Simplify phi1 into phi1
15.152 * [backup-simplify]: Simplify (cos phi1) into (cos phi1)
15.152 * [backup-simplify]: Simplify (sin phi1) into (sin phi1)
15.152 * [taylor]: Taking taylor expansion of (* (cos phi2) (* (sin lambda1) (sin lambda2))) in lambda1
15.152 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1
15.152 * [taylor]: Taking taylor expansion of phi2 in lambda1
15.152 * [backup-simplify]: Simplify phi2 into phi2
15.152 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
15.152 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
15.152 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1
15.152 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1
15.152 * [taylor]: Taking taylor expansion of lambda1 in lambda1
15.152 * [backup-simplify]: Simplify 0 into 0
15.152 * [backup-simplify]: Simplify 1 into 1
15.152 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1
15.152 * [taylor]: Taking taylor expansion of lambda2 in lambda1
15.152 * [backup-simplify]: Simplify lambda2 into lambda2
15.152 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2)
15.152 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2)
15.153 * [backup-simplify]: Simplify (* (cos phi1) 1) into (cos phi1)
15.153 * [backup-simplify]: Simplify (* (sin phi1) 0) into 0
15.153 * [backup-simplify]: Simplify (- 0) into 0
15.153 * [backup-simplify]: Simplify (+ (cos phi1) 0) into (cos phi1)
15.153 * [backup-simplify]: Simplify (* (cos phi2) 1) into (cos phi2)
15.153 * [backup-simplify]: Simplify (* (sin phi2) 0) into 0
15.154 * [backup-simplify]: Simplify (- 0) into 0
15.154 * [backup-simplify]: Simplify (+ (cos phi2) 0) into (cos phi2)
15.154 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2)
15.154 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0
15.154 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2)
15.154 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0
15.154 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0
15.154 * [backup-simplify]: Simplify (* (cos phi1) 0) into 0
15.154 * [taylor]: Taking taylor expansion of 0 in lambda2
15.154 * [backup-simplify]: Simplify 0 into 0
15.154 * [taylor]: Taking taylor expansion of 0 in phi1
15.154 * [backup-simplify]: Simplify 0 into 0
15.154 * [taylor]: Taking taylor expansion of 0 in phi2
15.154 * [backup-simplify]: Simplify 0 into 0
15.154 * [backup-simplify]: Simplify 0 into 0
15.155 * [backup-simplify]: Simplify (+ 0) into 0
15.155 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0
15.156 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.157 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0
15.157 * [backup-simplify]: Simplify (+ 0 0) into 0
15.158 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.158 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2)
15.159 * [backup-simplify]: Simplify (+ 0) into 0
15.159 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 1)) into 0
15.160 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.160 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 0)) into 0
15.161 * [backup-simplify]: Simplify (- 0) into 0
15.161 * [backup-simplify]: Simplify (+ 0 0) into 0
15.162 * [backup-simplify]: Simplify (+ (* (cos phi2) (sin lambda2)) (* 0 0)) into (* (cos phi2) (sin lambda2))
15.162 * [backup-simplify]: Simplify (+ 0) into 0
15.163 * [backup-simplify]: Simplify (+ (* (cos phi1) 0) (* 0 1)) into 0
15.163 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.164 * [backup-simplify]: Simplify (+ (* (sin phi1) 0) (* 0 0)) into 0
15.164 * [backup-simplify]: Simplify (- 0) into 0
15.165 * [backup-simplify]: Simplify (+ 0 0) into 0
15.165 * [backup-simplify]: Simplify (+ (* (cos phi1) (* (cos phi2) (sin lambda2))) (* 0 0)) into (* (cos phi1) (* (cos phi2) (sin lambda2)))
15.165 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (sin lambda2))) in lambda2
15.165 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2
15.165 * [taylor]: Taking taylor expansion of phi1 in lambda2
15.165 * [backup-simplify]: Simplify phi1 into phi1
15.165 * [backup-simplify]: Simplify (cos phi1) into (cos phi1)
15.165 * [backup-simplify]: Simplify (sin phi1) into (sin phi1)
15.165 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in lambda2
15.165 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2
15.165 * [taylor]: Taking taylor expansion of phi2 in lambda2
15.165 * [backup-simplify]: Simplify phi2 into phi2
15.165 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
15.166 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
15.166 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
15.166 * [taylor]: Taking taylor expansion of lambda2 in lambda2
15.166 * [backup-simplify]: Simplify 0 into 0
15.166 * [backup-simplify]: Simplify 1 into 1
15.166 * [backup-simplify]: Simplify (* (cos phi1) 1) into (cos phi1)
15.166 * [backup-simplify]: Simplify (* (sin phi1) 0) into 0
15.166 * [backup-simplify]: Simplify (- 0) into 0
15.166 * [backup-simplify]: Simplify (+ (cos phi1) 0) into (cos phi1)
15.166 * [backup-simplify]: Simplify (* (cos phi2) 1) into (cos phi2)
15.167 * [backup-simplify]: Simplify (* (sin phi2) 0) into 0
15.167 * [backup-simplify]: Simplify (- 0) into 0
15.167 * [backup-simplify]: Simplify (+ (cos phi2) 0) into (cos phi2)
15.167 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0
15.167 * [backup-simplify]: Simplify (* (cos phi1) 0) into 0
15.167 * [taylor]: Taking taylor expansion of 0 in phi1
15.167 * [backup-simplify]: Simplify 0 into 0
15.167 * [taylor]: Taking taylor expansion of 0 in phi2
15.167 * [backup-simplify]: Simplify 0 into 0
15.167 * [backup-simplify]: Simplify 0 into 0
15.167 * [taylor]: Taking taylor expansion of 0 in phi1
15.167 * [backup-simplify]: Simplify 0 into 0
15.167 * [taylor]: Taking taylor expansion of 0 in phi2
15.168 * [backup-simplify]: Simplify 0 into 0
15.168 * [backup-simplify]: Simplify 0 into 0
15.168 * [taylor]: Taking taylor expansion of 0 in phi2
15.168 * [backup-simplify]: Simplify 0 into 0
15.168 * [backup-simplify]: Simplify 0 into 0
15.168 * [backup-simplify]: Simplify 0 into 0
15.169 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.169 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0
15.170 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.171 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0
15.171 * [backup-simplify]: Simplify (+ 0 0) into 0
15.172 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.173 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0
15.174 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.175 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 1))) into 0
15.175 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.176 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 0))) into 0
15.176 * [backup-simplify]: Simplify (- 0) into 0
15.177 * [backup-simplify]: Simplify (+ 0 0) into 0
15.177 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 (sin lambda2)) (* 0 0))) into 0
15.178 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.179 * [backup-simplify]: Simplify (+ (* (cos phi1) 0) (+ (* 0 0) (* 0 1))) into 0
15.180 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.180 * [backup-simplify]: Simplify (+ (* (sin phi1) 0) (+ (* 0 0) (* 0 0))) into 0
15.181 * [backup-simplify]: Simplify (- 0) into 0
15.181 * [backup-simplify]: Simplify (+ 0 0) into 0
15.181 * [backup-simplify]: Simplify (+ (* (cos phi1) 0) (+ (* 0 (* (cos phi2) (sin lambda2))) (* 0 0))) into 0
15.181 * [taylor]: Taking taylor expansion of 0 in lambda2
15.182 * [backup-simplify]: Simplify 0 into 0
15.182 * [taylor]: Taking taylor expansion of 0 in phi1
15.182 * [backup-simplify]: Simplify 0 into 0
15.182 * [taylor]: Taking taylor expansion of 0 in phi2
15.182 * [backup-simplify]: Simplify 0 into 0
15.182 * [backup-simplify]: Simplify 0 into 0
15.182 * [backup-simplify]: Simplify 0 into 0
15.182 * [backup-simplify]: Simplify (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) into (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))))
15.182 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) in (lambda1 lambda2 phi1 phi2) around 0
15.182 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) in phi2
15.182 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2
15.182 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2
15.182 * [taylor]: Taking taylor expansion of lambda2 in phi2
15.182 * [backup-simplify]: Simplify lambda2 into lambda2
15.182 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
15.182 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
15.182 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
15.182 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) in phi2
15.182 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2
15.182 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
15.183 * [taylor]: Taking taylor expansion of phi2 in phi2
15.183 * [backup-simplify]: Simplify 0 into 0
15.183 * [backup-simplify]: Simplify 1 into 1
15.183 * [backup-simplify]: Simplify (/ 1 1) into 1
15.183 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
15.183 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))) in phi2
15.183 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2
15.183 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2
15.183 * [taylor]: Taking taylor expansion of lambda1 in phi2
15.183 * [backup-simplify]: Simplify lambda1 into lambda1
15.183 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
15.183 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
15.183 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
15.183 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2
15.184 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
15.184 * [taylor]: Taking taylor expansion of phi1 in phi2
15.184 * [backup-simplify]: Simplify phi1 into phi1
15.184 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
15.184 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
15.184 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
15.184 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) in phi1
15.184 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1
15.184 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1
15.184 * [taylor]: Taking taylor expansion of lambda2 in phi1
15.184 * [backup-simplify]: Simplify lambda2 into lambda2
15.184 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
15.184 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
15.184 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
15.184 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) in phi1
15.184 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1
15.184 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
15.184 * [taylor]: Taking taylor expansion of phi2 in phi1
15.184 * [backup-simplify]: Simplify phi2 into phi2
15.184 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
15.184 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
15.184 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
15.184 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))) in phi1
15.185 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1
15.185 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1
15.185 * [taylor]: Taking taylor expansion of lambda1 in phi1
15.185 * [backup-simplify]: Simplify lambda1 into lambda1
15.185 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
15.185 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
15.185 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
15.185 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1
15.185 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
15.185 * [taylor]: Taking taylor expansion of phi1 in phi1
15.185 * [backup-simplify]: Simplify 0 into 0
15.185 * [backup-simplify]: Simplify 1 into 1
15.185 * [backup-simplify]: Simplify (/ 1 1) into 1
15.186 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
15.186 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) in lambda2
15.186 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2
15.186 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
15.186 * [taylor]: Taking taylor expansion of lambda2 in lambda2
15.186 * [backup-simplify]: Simplify 0 into 0
15.186 * [backup-simplify]: Simplify 1 into 1
15.186 * [backup-simplify]: Simplify (/ 1 1) into 1
15.186 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
15.186 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) in lambda2
15.186 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2
15.186 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
15.186 * [taylor]: Taking taylor expansion of phi2 in lambda2
15.186 * [backup-simplify]: Simplify phi2 into phi2
15.186 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
15.186 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
15.187 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
15.187 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))) in lambda2
15.187 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2
15.187 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
15.187 * [taylor]: Taking taylor expansion of lambda1 in lambda2
15.187 * [backup-simplify]: Simplify lambda1 into lambda1
15.187 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
15.187 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
15.187 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
15.187 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2
15.187 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
15.187 * [taylor]: Taking taylor expansion of phi1 in lambda2
15.187 * [backup-simplify]: Simplify phi1 into phi1
15.187 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
15.187 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
15.187 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
15.187 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) in lambda1
15.187 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1
15.187 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
15.187 * [taylor]: Taking taylor expansion of lambda2 in lambda1
15.187 * [backup-simplify]: Simplify lambda2 into lambda2
15.187 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
15.187 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
15.188 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
15.188 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) in lambda1
15.188 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1
15.188 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
15.188 * [taylor]: Taking taylor expansion of phi2 in lambda1
15.188 * [backup-simplify]: Simplify phi2 into phi2
15.188 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
15.188 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
15.188 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
15.188 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))) in lambda1
15.188 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1
15.188 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
15.188 * [taylor]: Taking taylor expansion of lambda1 in lambda1
15.188 * [backup-simplify]: Simplify 0 into 0
15.188 * [backup-simplify]: Simplify 1 into 1
15.189 * [backup-simplify]: Simplify (/ 1 1) into 1
15.189 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
15.189 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1
15.189 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
15.189 * [taylor]: Taking taylor expansion of phi1 in lambda1
15.189 * [backup-simplify]: Simplify phi1 into phi1
15.189 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
15.189 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
15.189 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
15.189 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) in lambda1
15.189 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1
15.189 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
15.189 * [taylor]: Taking taylor expansion of lambda2 in lambda1
15.189 * [backup-simplify]: Simplify lambda2 into lambda2
15.189 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
15.189 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
15.189 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
15.189 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) in lambda1
15.189 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1
15.189 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
15.189 * [taylor]: Taking taylor expansion of phi2 in lambda1
15.189 * [backup-simplify]: Simplify phi2 into phi2
15.189 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
15.190 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
15.190 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
15.190 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))) in lambda1
15.190 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1
15.190 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
15.190 * [taylor]: Taking taylor expansion of lambda1 in lambda1
15.190 * [backup-simplify]: Simplify 0 into 0
15.190 * [backup-simplify]: Simplify 1 into 1
15.190 * [backup-simplify]: Simplify (/ 1 1) into 1
15.190 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
15.190 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1
15.190 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
15.190 * [taylor]: Taking taylor expansion of phi1 in lambda1
15.190 * [backup-simplify]: Simplify phi1 into phi1
15.190 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
15.190 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
15.191 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
15.191 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2))
15.191 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0
15.191 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2))
15.191 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2))
15.191 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 0) into 0
15.191 * [backup-simplify]: Simplify (- 0) into 0
15.192 * [backup-simplify]: Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2))
15.192 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1))
15.192 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 0) into 0
15.192 * [backup-simplify]: Simplify (- 0) into 0
15.192 * [backup-simplify]: Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1))
15.192 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))) into (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))
15.192 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))
15.193 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) into (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))))
15.193 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) in lambda2
15.193 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2
15.193 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
15.193 * [taylor]: Taking taylor expansion of lambda2 in lambda2
15.193 * [backup-simplify]: Simplify 0 into 0
15.193 * [backup-simplify]: Simplify 1 into 1
15.193 * [backup-simplify]: Simplify (/ 1 1) into 1
15.193 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
15.193 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) in lambda2
15.193 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2
15.193 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
15.194 * [taylor]: Taking taylor expansion of phi2 in lambda2
15.194 * [backup-simplify]: Simplify phi2 into phi2
15.194 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
15.194 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
15.194 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
15.194 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))) in lambda2
15.194 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2
15.194 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
15.194 * [taylor]: Taking taylor expansion of lambda1 in lambda2
15.194 * [backup-simplify]: Simplify lambda1 into lambda1
15.194 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
15.194 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
15.194 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
15.194 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2
15.194 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
15.194 * [taylor]: Taking taylor expansion of phi1 in lambda2
15.194 * [backup-simplify]: Simplify phi1 into phi1
15.194 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
15.194 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
15.194 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
15.194 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2))
15.195 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 0) into 0
15.195 * [backup-simplify]: Simplify (- 0) into 0
15.195 * [backup-simplify]: Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2))
15.195 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1))
15.195 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0
15.195 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1))
15.195 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1))
15.196 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 0) into 0
15.196 * [backup-simplify]: Simplify (- 0) into 0
15.196 * [backup-simplify]: Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1))
15.196 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))) into (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))
15.196 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))
15.197 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) into (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))))
15.197 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) in phi1
15.197 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1
15.197 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1
15.197 * [taylor]: Taking taylor expansion of lambda2 in phi1
15.197 * [backup-simplify]: Simplify lambda2 into lambda2
15.197 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
15.197 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
15.197 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
15.197 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) in phi1
15.197 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1
15.197 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
15.197 * [taylor]: Taking taylor expansion of phi2 in phi1
15.197 * [backup-simplify]: Simplify phi2 into phi2
15.197 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
15.197 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
15.197 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
15.197 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))) in phi1
15.197 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1
15.197 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1
15.197 * [taylor]: Taking taylor expansion of lambda1 in phi1
15.197 * [backup-simplify]: Simplify lambda1 into lambda1
15.197 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
15.198 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
15.198 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
15.198 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1
15.198 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
15.198 * [taylor]: Taking taylor expansion of phi1 in phi1
15.198 * [backup-simplify]: Simplify 0 into 0
15.198 * [backup-simplify]: Simplify 1 into 1
15.198 * [backup-simplify]: Simplify (/ 1 1) into 1
15.198 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
15.198 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2))
15.198 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0
15.199 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2))
15.199 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2))
15.199 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 0) into 0
15.199 * [backup-simplify]: Simplify (- 0) into 0
15.199 * [backup-simplify]: Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2))
15.199 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1))
15.199 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0
15.200 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1))
15.200 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))) into (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))
15.200 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))
15.200 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) into (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))))
15.200 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) in phi2
15.200 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2
15.200 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2
15.200 * [taylor]: Taking taylor expansion of lambda2 in phi2
15.200 * [backup-simplify]: Simplify lambda2 into lambda2
15.200 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
15.200 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
15.200 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
15.200 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) in phi2
15.200 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2
15.201 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
15.201 * [taylor]: Taking taylor expansion of phi2 in phi2
15.201 * [backup-simplify]: Simplify 0 into 0
15.201 * [backup-simplify]: Simplify 1 into 1
15.201 * [backup-simplify]: Simplify (/ 1 1) into 1
15.201 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
15.201 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))) in phi2
15.201 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2
15.201 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2
15.201 * [taylor]: Taking taylor expansion of lambda1 in phi2
15.201 * [backup-simplify]: Simplify lambda1 into lambda1
15.201 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
15.201 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
15.201 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
15.201 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2
15.201 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
15.202 * [taylor]: Taking taylor expansion of phi1 in phi2
15.202 * [backup-simplify]: Simplify phi1 into phi1
15.202 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
15.202 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
15.202 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
15.202 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2))
15.202 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0
15.202 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2))
15.202 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1))
15.202 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0
15.202 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1))
15.202 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1))
15.202 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 0) into 0
15.203 * [backup-simplify]: Simplify (- 0) into 0
15.203 * [backup-simplify]: Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1))
15.203 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))) into (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))
15.203 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))
15.203 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) into (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))))
15.204 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) into (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))))
15.204 * [backup-simplify]: Simplify (+ 0) into 0
15.205 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 1)) into 0
15.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
15.206 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.206 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 0)) into 0
15.206 * [backup-simplify]: Simplify (- 0) into 0
15.207 * [backup-simplify]: Simplify (+ 0 0) into 0
15.207 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (cos (/ 1 phi1)))) into 0
15.207 * [backup-simplify]: Simplify (+ 0) into 0
15.208 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0
15.208 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
15.209 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.209 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0
15.210 * [backup-simplify]: Simplify (- 0) into 0
15.210 * [backup-simplify]: Simplify (+ 0 0) into 0
15.211 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) into 0
15.211 * [backup-simplify]: Simplify (+ 0) into 0
15.212 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0
15.212 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
15.213 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.213 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0
15.213 * [backup-simplify]: Simplify (+ 0 0) into 0
15.214 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))))) into 0
15.214 * [taylor]: Taking taylor expansion of 0 in lambda2
15.214 * [backup-simplify]: Simplify 0 into 0
15.214 * [taylor]: Taking taylor expansion of 0 in phi1
15.214 * [backup-simplify]: Simplify 0 into 0
15.214 * [taylor]: Taking taylor expansion of 0 in phi2
15.214 * [backup-simplify]: Simplify 0 into 0
15.214 * [backup-simplify]: Simplify 0 into 0
15.214 * [backup-simplify]: Simplify (+ 0) into 0
15.215 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 1)) into 0
15.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
15.216 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.216 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 0)) into 0
15.216 * [backup-simplify]: Simplify (- 0) into 0
15.217 * [backup-simplify]: Simplify (+ 0 0) into 0
15.217 * [backup-simplify]: Simplify (+ 0) into 0
15.218 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0
15.218 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0
15.219 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.220 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0
15.220 * [backup-simplify]: Simplify (+ 0 0) into 0
15.220 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (cos (/ 1 phi1)))) into 0
15.220 * [backup-simplify]: Simplify (+ 0) into 0
15.221 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0
15.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
15.222 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.222 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0
15.223 * [backup-simplify]: Simplify (- 0) into 0
15.223 * [backup-simplify]: Simplify (+ 0 0) into 0
15.223 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) into 0
15.224 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))))) into 0
15.224 * [taylor]: Taking taylor expansion of 0 in phi1
15.224 * [backup-simplify]: Simplify 0 into 0
15.224 * [taylor]: Taking taylor expansion of 0 in phi2
15.224 * [backup-simplify]: Simplify 0 into 0
15.224 * [backup-simplify]: Simplify 0 into 0
15.224 * [backup-simplify]: Simplify (+ 0) into 0
15.225 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0
15.225 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0
15.225 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.226 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0
15.226 * [backup-simplify]: Simplify (+ 0 0) into 0
15.226 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (cos (/ 1 phi1)))) into 0
15.227 * [backup-simplify]: Simplify (+ 0) into 0
15.227 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0
15.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
15.228 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.229 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0
15.229 * [backup-simplify]: Simplify (- 0) into 0
15.229 * [backup-simplify]: Simplify (+ 0 0) into 0
15.230 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) into 0
15.230 * [backup-simplify]: Simplify (+ 0) into 0
15.231 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0
15.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
15.231 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.232 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0
15.232 * [backup-simplify]: Simplify (+ 0 0) into 0
15.233 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))))) into 0
15.233 * [taylor]: Taking taylor expansion of 0 in phi2
15.233 * [backup-simplify]: Simplify 0 into 0
15.233 * [backup-simplify]: Simplify 0 into 0
15.233 * [backup-simplify]: Simplify (+ 0) into 0
15.234 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 1)) into 0
15.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
15.235 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.235 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 0)) into 0
15.235 * [backup-simplify]: Simplify (- 0) into 0
15.236 * [backup-simplify]: Simplify (+ 0 0) into 0
15.236 * [backup-simplify]: Simplify (+ 0) into 0
15.237 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0
15.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0
15.238 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.238 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0
15.239 * [backup-simplify]: Simplify (+ 0 0) into 0
15.239 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (cos (/ 1 phi1)))) into 0
15.239 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) into 0
15.239 * [backup-simplify]: Simplify (+ 0) into 0
15.240 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0
15.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
15.240 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.241 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0
15.241 * [backup-simplify]: Simplify (+ 0 0) into 0
15.241 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))))) into 0
15.241 * [backup-simplify]: Simplify 0 into 0
15.242 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.242 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
15.242 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
15.243 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.243 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
15.243 * [backup-simplify]: Simplify (- 0) into 0
15.243 * [backup-simplify]: Simplify (+ 0 0) into 0
15.244 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (cos (/ 1 phi1))))) into 0
15.244 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.245 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
15.245 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
15.245 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.245 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
15.246 * [backup-simplify]: Simplify (- 0) into 0
15.246 * [backup-simplify]: Simplify (+ 0 0) into 0
15.246 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))))) into 0
15.247 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.247 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0
15.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
15.248 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.248 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0
15.248 * [backup-simplify]: Simplify (+ 0 0) into 0
15.249 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))))) into 0
15.249 * [taylor]: Taking taylor expansion of 0 in lambda2
15.249 * [backup-simplify]: Simplify 0 into 0
15.249 * [taylor]: Taking taylor expansion of 0 in phi1
15.249 * [backup-simplify]: Simplify 0 into 0
15.249 * [taylor]: Taking taylor expansion of 0 in phi2
15.249 * [backup-simplify]: Simplify 0 into 0
15.249 * [backup-simplify]: Simplify 0 into 0
15.249 * [taylor]: Taking taylor expansion of 0 in phi1
15.249 * [backup-simplify]: Simplify 0 into 0
15.249 * [taylor]: Taking taylor expansion of 0 in phi2
15.249 * [backup-simplify]: Simplify 0 into 0
15.249 * [backup-simplify]: Simplify 0 into 0
15.249 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) into (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1))))
15.249 * [backup-simplify]: Simplify (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) into (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))
15.249 * [approximate]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in (lambda1 lambda2 phi1 phi2) around 0
15.249 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in phi2
15.249 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2
15.249 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
15.249 * [taylor]: Taking taylor expansion of -1 in phi2
15.249 * [backup-simplify]: Simplify -1 into -1
15.249 * [taylor]: Taking taylor expansion of phi1 in phi2
15.249 * [backup-simplify]: Simplify phi1 into phi1
15.249 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
15.249 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
15.250 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
15.250 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in phi2
15.250 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2
15.250 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2
15.250 * [taylor]: Taking taylor expansion of -1 in phi2
15.250 * [backup-simplify]: Simplify -1 into -1
15.250 * [taylor]: Taking taylor expansion of lambda1 in phi2
15.250 * [backup-simplify]: Simplify lambda1 into lambda1
15.250 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1)
15.250 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
15.250 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
15.250 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in phi2
15.250 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2
15.250 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
15.250 * [taylor]: Taking taylor expansion of -1 in phi2
15.250 * [backup-simplify]: Simplify -1 into -1
15.250 * [taylor]: Taking taylor expansion of phi2 in phi2
15.250 * [backup-simplify]: Simplify 0 into 0
15.250 * [backup-simplify]: Simplify 1 into 1
15.250 * [backup-simplify]: Simplify (/ -1 1) into -1
15.250 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
15.250 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2
15.250 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2
15.250 * [taylor]: Taking taylor expansion of -1 in phi2
15.250 * [backup-simplify]: Simplify -1 into -1
15.250 * [taylor]: Taking taylor expansion of lambda2 in phi2
15.250 * [backup-simplify]: Simplify lambda2 into lambda2
15.250 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2)
15.250 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
15.250 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
15.250 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in phi1
15.250 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1
15.250 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
15.250 * [taylor]: Taking taylor expansion of -1 in phi1
15.250 * [backup-simplify]: Simplify -1 into -1
15.250 * [taylor]: Taking taylor expansion of phi1 in phi1
15.251 * [backup-simplify]: Simplify 0 into 0
15.251 * [backup-simplify]: Simplify 1 into 1
15.251 * [backup-simplify]: Simplify (/ -1 1) into -1
15.251 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
15.251 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in phi1
15.251 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1
15.251 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1
15.251 * [taylor]: Taking taylor expansion of -1 in phi1
15.251 * [backup-simplify]: Simplify -1 into -1
15.251 * [taylor]: Taking taylor expansion of lambda1 in phi1
15.251 * [backup-simplify]: Simplify lambda1 into lambda1
15.251 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1)
15.251 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
15.251 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
15.251 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in phi1
15.251 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1
15.251 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
15.251 * [taylor]: Taking taylor expansion of -1 in phi1
15.251 * [backup-simplify]: Simplify -1 into -1
15.251 * [taylor]: Taking taylor expansion of phi2 in phi1
15.251 * [backup-simplify]: Simplify phi2 into phi2
15.251 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
15.251 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
15.251 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
15.251 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1
15.251 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1
15.251 * [taylor]: Taking taylor expansion of -1 in phi1
15.251 * [backup-simplify]: Simplify -1 into -1
15.251 * [taylor]: Taking taylor expansion of lambda2 in phi1
15.251 * [backup-simplify]: Simplify lambda2 into lambda2
15.251 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2)
15.251 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
15.251 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
15.252 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda2
15.252 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2
15.252 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2
15.252 * [taylor]: Taking taylor expansion of -1 in lambda2
15.252 * [backup-simplify]: Simplify -1 into -1
15.252 * [taylor]: Taking taylor expansion of phi1 in lambda2
15.252 * [backup-simplify]: Simplify phi1 into phi1
15.252 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
15.252 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
15.252 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
15.252 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in lambda2
15.252 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2
15.252 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2
15.252 * [taylor]: Taking taylor expansion of -1 in lambda2
15.252 * [backup-simplify]: Simplify -1 into -1
15.252 * [taylor]: Taking taylor expansion of lambda1 in lambda2
15.252 * [backup-simplify]: Simplify lambda1 into lambda1
15.252 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1)
15.252 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
15.252 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
15.252 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in lambda2
15.252 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2
15.252 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2
15.252 * [taylor]: Taking taylor expansion of -1 in lambda2
15.252 * [backup-simplify]: Simplify -1 into -1
15.252 * [taylor]: Taking taylor expansion of phi2 in lambda2
15.252 * [backup-simplify]: Simplify phi2 into phi2
15.252 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
15.252 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
15.252 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
15.252 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2
15.252 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
15.252 * [taylor]: Taking taylor expansion of -1 in lambda2
15.252 * [backup-simplify]: Simplify -1 into -1
15.252 * [taylor]: Taking taylor expansion of lambda2 in lambda2
15.252 * [backup-simplify]: Simplify 0 into 0
15.252 * [backup-simplify]: Simplify 1 into 1
15.253 * [backup-simplify]: Simplify (/ -1 1) into -1
15.253 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
15.253 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda1
15.253 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1
15.253 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1
15.253 * [taylor]: Taking taylor expansion of -1 in lambda1
15.253 * [backup-simplify]: Simplify -1 into -1
15.253 * [taylor]: Taking taylor expansion of phi1 in lambda1
15.253 * [backup-simplify]: Simplify phi1 into phi1
15.253 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
15.253 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
15.253 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
15.253 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in lambda1
15.253 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1
15.253 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1
15.253 * [taylor]: Taking taylor expansion of -1 in lambda1
15.253 * [backup-simplify]: Simplify -1 into -1
15.253 * [taylor]: Taking taylor expansion of lambda1 in lambda1
15.253 * [backup-simplify]: Simplify 0 into 0
15.253 * [backup-simplify]: Simplify 1 into 1
15.253 * [backup-simplify]: Simplify (/ -1 1) into -1
15.253 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
15.253 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in lambda1
15.253 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1
15.253 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1
15.253 * [taylor]: Taking taylor expansion of -1 in lambda1
15.253 * [backup-simplify]: Simplify -1 into -1
15.253 * [taylor]: Taking taylor expansion of phi2 in lambda1
15.253 * [backup-simplify]: Simplify phi2 into phi2
15.254 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
15.254 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
15.254 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
15.254 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1
15.254 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1
15.254 * [taylor]: Taking taylor expansion of -1 in lambda1
15.254 * [backup-simplify]: Simplify -1 into -1
15.254 * [taylor]: Taking taylor expansion of lambda2 in lambda1
15.254 * [backup-simplify]: Simplify lambda2 into lambda2
15.254 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2)
15.254 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
15.254 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
15.254 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda1
15.254 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1
15.254 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1
15.254 * [taylor]: Taking taylor expansion of -1 in lambda1
15.254 * [backup-simplify]: Simplify -1 into -1
15.254 * [taylor]: Taking taylor expansion of phi1 in lambda1
15.254 * [backup-simplify]: Simplify phi1 into phi1
15.254 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
15.254 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
15.254 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
15.254 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in lambda1
15.254 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1
15.254 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1
15.254 * [taylor]: Taking taylor expansion of -1 in lambda1
15.254 * [backup-simplify]: Simplify -1 into -1
15.254 * [taylor]: Taking taylor expansion of lambda1 in lambda1
15.254 * [backup-simplify]: Simplify 0 into 0
15.254 * [backup-simplify]: Simplify 1 into 1
15.254 * [backup-simplify]: Simplify (/ -1 1) into -1
15.254 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
15.254 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in lambda1
15.254 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1
15.254 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1
15.255 * [taylor]: Taking taylor expansion of -1 in lambda1
15.255 * [backup-simplify]: Simplify -1 into -1
15.255 * [taylor]: Taking taylor expansion of phi2 in lambda1
15.255 * [backup-simplify]: Simplify phi2 into phi2
15.255 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
15.255 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
15.255 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
15.255 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1
15.255 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1
15.255 * [taylor]: Taking taylor expansion of -1 in lambda1
15.255 * [backup-simplify]: Simplify -1 into -1
15.255 * [taylor]: Taking taylor expansion of lambda2 in lambda1
15.255 * [backup-simplify]: Simplify lambda2 into lambda2
15.255 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2)
15.255 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
15.255 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
15.255 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1))
15.255 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 0) into 0
15.255 * [backup-simplify]: Simplify (- 0) into 0
15.255 * [backup-simplify]: Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1))
15.255 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2))
15.255 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 0) into 0
15.256 * [backup-simplify]: Simplify (- 0) into 0
15.256 * [backup-simplify]: Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2))
15.256 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2))
15.256 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0
15.256 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2))
15.256 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))
15.256 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))) into (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))
15.256 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) into (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))
15.256 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda2
15.256 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2
15.256 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2
15.256 * [taylor]: Taking taylor expansion of -1 in lambda2
15.256 * [backup-simplify]: Simplify -1 into -1
15.256 * [taylor]: Taking taylor expansion of phi1 in lambda2
15.256 * [backup-simplify]: Simplify phi1 into phi1
15.256 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
15.256 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
15.256 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
15.256 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in lambda2
15.256 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2
15.256 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2
15.257 * [taylor]: Taking taylor expansion of -1 in lambda2
15.257 * [backup-simplify]: Simplify -1 into -1
15.257 * [taylor]: Taking taylor expansion of lambda1 in lambda2
15.257 * [backup-simplify]: Simplify lambda1 into lambda1
15.257 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1)
15.257 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
15.257 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
15.257 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in lambda2
15.257 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2
15.257 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2
15.257 * [taylor]: Taking taylor expansion of -1 in lambda2
15.257 * [backup-simplify]: Simplify -1 into -1
15.257 * [taylor]: Taking taylor expansion of phi2 in lambda2
15.257 * [backup-simplify]: Simplify phi2 into phi2
15.257 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
15.257 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
15.257 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
15.257 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2
15.257 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
15.257 * [taylor]: Taking taylor expansion of -1 in lambda2
15.257 * [backup-simplify]: Simplify -1 into -1
15.257 * [taylor]: Taking taylor expansion of lambda2 in lambda2
15.257 * [backup-simplify]: Simplify 0 into 0
15.257 * [backup-simplify]: Simplify 1 into 1
15.257 * [backup-simplify]: Simplify (/ -1 1) into -1
15.257 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
15.257 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1))
15.257 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 0) into 0
15.258 * [backup-simplify]: Simplify (- 0) into 0
15.258 * [backup-simplify]: Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1))
15.258 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1))
15.258 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0
15.258 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1))
15.258 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2))
15.258 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 0) into 0
15.258 * [backup-simplify]: Simplify (- 0) into 0
15.258 * [backup-simplify]: Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2))
15.258 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))
15.258 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))) into (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))
15.259 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) into (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))
15.259 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in phi1
15.259 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1
15.259 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
15.259 * [taylor]: Taking taylor expansion of -1 in phi1
15.259 * [backup-simplify]: Simplify -1 into -1
15.259 * [taylor]: Taking taylor expansion of phi1 in phi1
15.259 * [backup-simplify]: Simplify 0 into 0
15.259 * [backup-simplify]: Simplify 1 into 1
15.259 * [backup-simplify]: Simplify (/ -1 1) into -1
15.259 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
15.259 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in phi1
15.259 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1
15.259 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1
15.259 * [taylor]: Taking taylor expansion of -1 in phi1
15.259 * [backup-simplify]: Simplify -1 into -1
15.259 * [taylor]: Taking taylor expansion of lambda1 in phi1
15.259 * [backup-simplify]: Simplify lambda1 into lambda1
15.259 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1)
15.259 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
15.259 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
15.259 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in phi1
15.259 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1
15.259 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
15.259 * [taylor]: Taking taylor expansion of -1 in phi1
15.259 * [backup-simplify]: Simplify -1 into -1
15.259 * [taylor]: Taking taylor expansion of phi2 in phi1
15.259 * [backup-simplify]: Simplify phi2 into phi2
15.259 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
15.259 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
15.259 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
15.259 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1
15.260 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1
15.260 * [taylor]: Taking taylor expansion of -1 in phi1
15.260 * [backup-simplify]: Simplify -1 into -1
15.260 * [taylor]: Taking taylor expansion of lambda2 in phi1
15.260 * [backup-simplify]: Simplify lambda2 into lambda2
15.260 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2)
15.260 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
15.260 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
15.260 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1))
15.260 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0
15.260 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1))
15.260 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2))
15.260 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 0) into 0
15.260 * [backup-simplify]: Simplify (- 0) into 0
15.260 * [backup-simplify]: Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2))
15.260 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2))
15.260 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0
15.260 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2))
15.260 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))
15.261 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))) into (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))
15.261 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) into (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))
15.261 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in phi2
15.261 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2
15.261 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
15.261 * [taylor]: Taking taylor expansion of -1 in phi2
15.261 * [backup-simplify]: Simplify -1 into -1
15.261 * [taylor]: Taking taylor expansion of phi1 in phi2
15.261 * [backup-simplify]: Simplify phi1 into phi1
15.261 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
15.261 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
15.261 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
15.261 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in phi2
15.261 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2
15.261 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2
15.261 * [taylor]: Taking taylor expansion of -1 in phi2
15.261 * [backup-simplify]: Simplify -1 into -1
15.261 * [taylor]: Taking taylor expansion of lambda1 in phi2
15.261 * [backup-simplify]: Simplify lambda1 into lambda1
15.261 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1)
15.261 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
15.261 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
15.261 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in phi2
15.261 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2
15.261 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
15.261 * [taylor]: Taking taylor expansion of -1 in phi2
15.261 * [backup-simplify]: Simplify -1 into -1
15.261 * [taylor]: Taking taylor expansion of phi2 in phi2
15.261 * [backup-simplify]: Simplify 0 into 0
15.261 * [backup-simplify]: Simplify 1 into 1
15.262 * [backup-simplify]: Simplify (/ -1 1) into -1
15.262 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
15.262 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2
15.262 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2
15.262 * [taylor]: Taking taylor expansion of -1 in phi2
15.262 * [backup-simplify]: Simplify -1 into -1
15.262 * [taylor]: Taking taylor expansion of lambda2 in phi2
15.262 * [backup-simplify]: Simplify lambda2 into lambda2
15.262 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2)
15.262 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
15.262 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
15.262 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1))
15.262 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 0) into 0
15.262 * [backup-simplify]: Simplify (- 0) into 0
15.262 * [backup-simplify]: Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1))
15.262 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1))
15.262 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0
15.262 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1))
15.262 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2))
15.263 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0
15.263 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2))
15.263 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))
15.263 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))) into (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))
15.263 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) into (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))
15.263 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) into (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))))
15.266 * [backup-simplify]: Simplify (+ 0) into 0
15.267 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0
15.267 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0
15.268 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.268 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0
15.268 * [backup-simplify]: Simplify (+ 0 0) into 0
15.269 * [backup-simplify]: Simplify (+ 0) into 0
15.269 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 1)) into 0
15.269 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0
15.270 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.271 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 0)) into 0
15.271 * [backup-simplify]: Simplify (- 0) into 0
15.272 * [backup-simplify]: Simplify (+ 0 0) into 0
15.272 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (sin (/ -1 lambda2)))) into 0
15.272 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) into 0
15.272 * [backup-simplify]: Simplify (+ 0) into 0
15.273 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0
15.273 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0
15.274 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.275 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0
15.276 * [backup-simplify]: Simplify (- 0) into 0
15.276 * [backup-simplify]: Simplify (+ 0 0) into 0
15.276 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))))) into 0
15.276 * [taylor]: Taking taylor expansion of 0 in lambda2
15.276 * [backup-simplify]: Simplify 0 into 0
15.276 * [taylor]: Taking taylor expansion of 0 in phi1
15.276 * [backup-simplify]: Simplify 0 into 0
15.276 * [taylor]: Taking taylor expansion of 0 in phi2
15.276 * [backup-simplify]: Simplify 0 into 0
15.276 * [backup-simplify]: Simplify 0 into 0
15.277 * [backup-simplify]: Simplify (+ 0) into 0
15.277 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 1)) into 0
15.277 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0
15.279 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.279 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 0)) into 0
15.279 * [backup-simplify]: Simplify (- 0) into 0
15.280 * [backup-simplify]: Simplify (+ 0 0) into 0
15.280 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (sin (/ -1 lambda2)))) into 0
15.280 * [backup-simplify]: Simplify (+ 0) into 0
15.281 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0
15.281 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0
15.282 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.282 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0
15.283 * [backup-simplify]: Simplify (+ 0 0) into 0
15.283 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) into 0
15.283 * [backup-simplify]: Simplify (+ 0) into 0
15.284 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0
15.284 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0
15.285 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.285 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0
15.285 * [backup-simplify]: Simplify (- 0) into 0
15.286 * [backup-simplify]: Simplify (+ 0 0) into 0
15.286 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))))) into 0
15.286 * [taylor]: Taking taylor expansion of 0 in phi1
15.286 * [backup-simplify]: Simplify 0 into 0
15.286 * [taylor]: Taking taylor expansion of 0 in phi2
15.286 * [backup-simplify]: Simplify 0 into 0
15.286 * [backup-simplify]: Simplify 0 into 0
15.287 * [backup-simplify]: Simplify (+ 0) into 0
15.287 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0
15.287 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0
15.288 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.289 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0
15.289 * [backup-simplify]: Simplify (+ 0 0) into 0
15.289 * [backup-simplify]: Simplify (+ 0) into 0
15.290 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 1)) into 0
15.290 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0
15.291 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.291 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 0)) into 0
15.292 * [backup-simplify]: Simplify (- 0) into 0
15.292 * [backup-simplify]: Simplify (+ 0 0) into 0
15.292 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (sin (/ -1 lambda2)))) into 0
15.292 * [backup-simplify]: Simplify (+ 0) into 0
15.293 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0
15.293 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0
15.294 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.294 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0
15.295 * [backup-simplify]: Simplify (+ 0 0) into 0
15.295 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) into 0
15.295 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))))) into 0
15.295 * [taylor]: Taking taylor expansion of 0 in phi2
15.295 * [backup-simplify]: Simplify 0 into 0
15.295 * [backup-simplify]: Simplify 0 into 0
15.296 * [backup-simplify]: Simplify (+ 0) into 0
15.296 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0
15.296 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0
15.297 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.298 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0
15.298 * [backup-simplify]: Simplify (+ 0 0) into 0
15.298 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (sin (/ -1 lambda2)))) into 0
15.298 * [backup-simplify]: Simplify (+ 0) into 0
15.299 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0
15.299 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0
15.300 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.300 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0
15.301 * [backup-simplify]: Simplify (+ 0 0) into 0
15.301 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) into 0
15.301 * [backup-simplify]: Simplify (+ 0) into 0
15.302 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0
15.302 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0
15.303 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.303 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0
15.303 * [backup-simplify]: Simplify (- 0) into 0
15.304 * [backup-simplify]: Simplify (+ 0 0) into 0
15.304 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))))) into 0
15.304 * [backup-simplify]: Simplify 0 into 0
15.305 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.306 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0
15.306 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
15.307 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.307 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0
15.308 * [backup-simplify]: Simplify (+ 0 0) into 0
15.308 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.309 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
15.309 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
15.310 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.311 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
15.311 * [backup-simplify]: Simplify (- 0) into 0
15.312 * [backup-simplify]: Simplify (+ 0 0) into 0
15.312 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0
15.313 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))))) into 0
15.314 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.315 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
15.315 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
15.316 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.317 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
15.317 * [backup-simplify]: Simplify (- 0) into 0
15.317 * [backup-simplify]: Simplify (+ 0 0) into 0
15.318 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))))) into 0
15.318 * [taylor]: Taking taylor expansion of 0 in lambda2
15.318 * [backup-simplify]: Simplify 0 into 0
15.318 * [taylor]: Taking taylor expansion of 0 in phi1
15.318 * [backup-simplify]: Simplify 0 into 0
15.318 * [taylor]: Taking taylor expansion of 0 in phi2
15.318 * [backup-simplify]: Simplify 0 into 0
15.318 * [backup-simplify]: Simplify 0 into 0
15.318 * [taylor]: Taking taylor expansion of 0 in phi1
15.318 * [backup-simplify]: Simplify 0 into 0
15.318 * [taylor]: Taking taylor expansion of 0 in phi2
15.318 * [backup-simplify]: Simplify 0 into 0
15.318 * [backup-simplify]: Simplify 0 into 0
15.319 * [backup-simplify]: Simplify (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (sin (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2))))))) into (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))
15.319 * * * [progress]: simplifying candidates
15.319 * * * * [progress]: [ 1 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R))>
15.319 * * * * [progress]: [ 2 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (pow (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) 1) R))>
15.319 * * * * [progress]: [ 3 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))>
15.319 * * * * [progress]: [ 4 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))>
15.319 * * * * [progress]: [ 5 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))>
15.319 * * * * [progress]: [ 6 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))>
15.319 * * * * [progress]: [ 7 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))>
15.319 * * * * [progress]: [ 8 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* 1 (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R))>
15.320 * * * * [progress]: [ 9 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (posit16->real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))>
15.320 * * * * [progress]: [ 10 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R) 1))>
15.320 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)
15.320 * * [simplify]: iters left: 6 (24 enodes)
15.331 * * [simplify]: iters left: 5 (91 enodes)
15.359 * * [simplify]: iters left: 4 (152 enodes)
15.414 * * [simplify]: iters left: 3 (257 enodes)
15.467 * * [simplify]: iters left: 2 (299 enodes)
15.519 * * [simplify]: Extracting #0: cost 1 inf + 0
15.519 * * [simplify]: Extracting #1: cost 4 inf + 0
15.519 * * [simplify]: Extracting #2: cost 5 inf + 1
15.519 * * [simplify]: Extracting #3: cost 12 inf + 1
15.520 * * [simplify]: Extracting #4: cost 48 inf + 1
15.520 * * [simplify]: Extracting #5: cost 82 inf + 1
15.521 * * [simplify]: Extracting #6: cost 63 inf + 1425
15.524 * * [simplify]: Extracting #7: cost 22 inf + 10180
15.530 * * [simplify]: Extracting #8: cost 5 inf + 17457
15.536 * * [simplify]: Extracting #9: cost 1 inf + 20624
15.544 * * [simplify]: Extracting #10: cost 0 inf + 21519
15.551 * [simplify]: Simplified to (* (acos (+ (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (cos phi1)) (* (sin phi2) (sin phi1)))) R)
15.551 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (cos phi1)) (* (sin phi2) (sin phi1)))) R) 1))
15.551 * * * * [progress]: [ 11 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R) 1))>
15.551 * * * * [progress]: [ 12 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (log R))))>
15.552 * [simplify]: Simplifying (+ (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (log R))
15.552 * * [simplify]: iters left: 6 (26 enodes)
15.563 * * [simplify]: iters left: 5 (97 enodes)
15.593 * * [simplify]: iters left: 4 (158 enodes)
15.651 * * [simplify]: iters left: 3 (263 enodes)
15.712 * * [simplify]: iters left: 2 (298 enodes)
15.777 * * [simplify]: Extracting #0: cost 1 inf + 0
15.777 * * [simplify]: Extracting #1: cost 4 inf + 0
15.777 * * [simplify]: Extracting #2: cost 8 inf + 0
15.777 * * [simplify]: Extracting #3: cost 7 inf + 143
15.777 * * [simplify]: Extracting #4: cost 14 inf + 143
15.778 * * [simplify]: Extracting #5: cost 50 inf + 143
15.778 * * [simplify]: Extracting #6: cost 84 inf + 143
15.778 * * [simplify]: Extracting #7: cost 68 inf + 1182
15.779 * * [simplify]: Extracting #8: cost 31 inf + 8384
15.782 * * [simplify]: Extracting #9: cost 6 inf + 18163
15.786 * * [simplify]: Extracting #10: cost 0 inf + 23789
15.790 * [simplify]: Simplified to (+ (log R) (log (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))))
15.790 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log R) (log (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))))))
15.790 * * * * [progress]: [ 13 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))))>
15.790 * * * * [progress]: [ 14 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (log (exp (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))))>
15.790 * * * * [progress]: [ 15 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (* (* R R) R))))>
15.790 * [simplify]: Simplifying (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (* (* R R) R))
15.791 * * [simplify]: iters left: 6 (28 enodes)
15.797 * * [simplify]: iters left: 5 (109 enodes)
15.822 * * [simplify]: iters left: 4 (199 enodes)
15.886 * * [simplify]: iters left: 3 (363 enodes)
15.972 * * [simplify]: iters left: 2 (469 enodes)
16.104 * * [simplify]: Extracting #0: cost 1 inf + 0
16.104 * * [simplify]: Extracting #1: cost 30 inf + 0
16.105 * * [simplify]: Extracting #2: cost 73 inf + 2
16.105 * * [simplify]: Extracting #3: cost 80 inf + 680
16.106 * * [simplify]: Extracting #4: cost 114 inf + 672
16.110 * * [simplify]: Extracting #5: cost 146 inf + 885
16.111 * * [simplify]: Extracting #6: cost 131 inf + 2255
16.114 * * [simplify]: Extracting #7: cost 91 inf + 10446
16.121 * * [simplify]: Extracting #8: cost 67 inf + 18253
16.131 * * [simplify]: Extracting #9: cost 56 inf + 29018
16.154 * * [simplify]: Extracting #10: cost 13 inf + 76019
16.187 * * [simplify]: Extracting #11: cost 0 inf + 90452
16.221 * [simplify]: Simplified to (* (* (* (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) R) (* (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) R)) (* (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) R))
16.221 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) R) (* (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) R)) (* (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) R))))
16.222 * * * * [progress]: [ 16 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))))>
16.222 * * * * [progress]: [ 17 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))))>
16.222 * * * * [progress]: [ 18 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))))>
16.222 * * * * [progress]: [ 19 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)))>
16.222 * * * * [progress]: [ 20 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt R))))>
16.222 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt R))
16.223 * * [simplify]: iters left: 6 (26 enodes)
16.235 * * [simplify]: iters left: 5 (97 enodes)
16.262 * * [simplify]: iters left: 4 (158 enodes)
16.291 * * [simplify]: iters left: 3 (263 enodes)
16.352 * * [simplify]: iters left: 2 (298 enodes)
16.410 * * [simplify]: Extracting #0: cost 1 inf + 0
16.410 * * [simplify]: Extracting #1: cost 4 inf + 0
16.410 * * [simplify]: Extracting #2: cost 8 inf + 0
16.410 * * [simplify]: Extracting #3: cost 7 inf + 83
16.410 * * [simplify]: Extracting #4: cost 14 inf + 83
16.411 * * [simplify]: Extracting #5: cost 50 inf + 83
16.411 * * [simplify]: Extracting #6: cost 84 inf + 83
16.412 * * [simplify]: Extracting #7: cost 68 inf + 1122
16.414 * * [simplify]: Extracting #8: cost 31 inf + 8324
16.420 * * [simplify]: Extracting #9: cost 6 inf + 18103
16.427 * * [simplify]: Extracting #10: cost 0 inf + 23549
16.435 * [simplify]: Simplified to (* (sqrt R) (sqrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))))
16.435 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt R) (sqrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt R))))
16.436 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt R))
16.436 * * [simplify]: iters left: 6 (26 enodes)
16.448 * * [simplify]: iters left: 5 (97 enodes)
16.480 * * [simplify]: iters left: 4 (158 enodes)
16.534 * * [simplify]: iters left: 3 (263 enodes)
16.584 * * [simplify]: iters left: 2 (298 enodes)
16.636 * * [simplify]: Extracting #0: cost 1 inf + 0
16.636 * * [simplify]: Extracting #1: cost 4 inf + 0
16.636 * * [simplify]: Extracting #2: cost 8 inf + 0
16.636 * * [simplify]: Extracting #3: cost 7 inf + 83
16.636 * * [simplify]: Extracting #4: cost 14 inf + 83
16.637 * * [simplify]: Extracting #5: cost 50 inf + 83
16.637 * * [simplify]: Extracting #6: cost 84 inf + 83
16.638 * * [simplify]: Extracting #7: cost 68 inf + 1122
16.640 * * [simplify]: Extracting #8: cost 31 inf + 8324
16.646 * * [simplify]: Extracting #9: cost 6 inf + 18103
16.653 * * [simplify]: Extracting #10: cost 0 inf + 23549
16.662 * [simplify]: Simplified to (* (sqrt R) (sqrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))))
16.662 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt R)) (* (sqrt R) (sqrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))))))
16.662 * * * * [progress]: [ 21 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (* (cbrt R) (cbrt R))) (cbrt R)))>
16.663 * [simplify]: Simplifying (cbrt R)
16.663 * * [simplify]: iters left: 1 (2 enodes)
16.664 * * [simplify]: Extracting #0: cost 1 inf + 0
16.664 * * [simplify]: Extracting #1: cost 3 inf + 0
16.664 * * [simplify]: Extracting #2: cost 2 inf + 1
16.664 * * [simplify]: Extracting #3: cost 0 inf + 163
16.664 * [simplify]: Simplified to (cbrt R)
16.664 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (* (cbrt R) (cbrt R))) (cbrt R)))
16.664 * * * * [progress]: [ 22 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (sqrt R)) (sqrt R)))>
16.665 * [simplify]: Simplifying (sqrt R)
16.665 * * [simplify]: iters left: 1 (2 enodes)
16.665 * * [simplify]: Extracting #0: cost 1 inf + 0
16.665 * * [simplify]: Extracting #1: cost 3 inf + 0
16.666 * * [simplify]: Extracting #2: cost 2 inf + 1
16.666 * * [simplify]: Extracting #3: cost 0 inf + 83
16.666 * [simplify]: Simplified to (sqrt R)
16.666 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (sqrt R)) (sqrt R)))
16.666 * * * * [progress]: [ 23 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) 1) R))>
16.666 * * * * [progress]: [ 24 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R)))>
16.666 * [simplify]: Simplifying (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))
16.667 * * [simplify]: iters left: 6 (24 enodes)
16.677 * * [simplify]: iters left: 5 (90 enodes)
16.706 * * [simplify]: iters left: 4 (151 enodes)
16.735 * * [simplify]: iters left: 3 (256 enodes)
16.794 * * [simplify]: iters left: 2 (298 enodes)
16.876 * * [simplify]: Extracting #0: cost 1 inf + 0
16.876 * * [simplify]: Extracting #1: cost 3 inf + 0
16.876 * * [simplify]: Extracting #2: cost 5 inf + 0
16.876 * * [simplify]: Extracting #3: cost 7 inf + 0
16.876 * * [simplify]: Extracting #4: cost 14 inf + 0
16.876 * * [simplify]: Extracting #5: cost 50 inf + 0
16.877 * * [simplify]: Extracting #6: cost 84 inf + 0
16.878 * * [simplify]: Extracting #7: cost 65 inf + 1323
16.881 * * [simplify]: Extracting #8: cost 22 inf + 11690
16.887 * * [simplify]: Extracting #9: cost 7 inf + 17757
16.891 * * [simplify]: Extracting #10: cost 3 inf + 20662
16.894 * * [simplify]: Extracting #11: cost 1 inf + 22570
16.898 * * [simplify]: Extracting #12: cost 0 inf + 23544
16.901 * [simplify]: Simplified to (* (cbrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))))
16.901 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R)))
16.902 * * * * [progress]: [ 25 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R)))>
16.902 * [simplify]: Simplifying (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))
16.902 * * [simplify]: iters left: 6 (23 enodes)
16.906 * * [simplify]: iters left: 5 (87 enodes)
16.919 * * [simplify]: iters left: 4 (148 enodes)
16.960 * * [simplify]: iters left: 3 (254 enodes)
17.011 * * [simplify]: iters left: 2 (295 enodes)
17.094 * * [simplify]: Extracting #0: cost 1 inf + 0
17.094 * * [simplify]: Extracting #1: cost 3 inf + 0
17.094 * * [simplify]: Extracting #2: cost 5 inf + 0
17.095 * * [simplify]: Extracting #3: cost 12 inf + 0
17.095 * * [simplify]: Extracting #4: cost 48 inf + 0
17.095 * * [simplify]: Extracting #5: cost 82 inf + 0
17.096 * * [simplify]: Extracting #6: cost 61 inf + 1950
17.099 * * [simplify]: Extracting #7: cost 23 inf + 10421
17.105 * * [simplify]: Extracting #8: cost 5 inf + 17557
17.112 * * [simplify]: Extracting #9: cost 2 inf + 19768
17.119 * * [simplify]: Extracting #10: cost 0 inf + 21516
17.126 * [simplify]: Simplified to (sqrt (acos (+ (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (cos phi1)) (* (sin phi2) (sin phi1)))))
17.126 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (cos phi1)) (* (sin phi2) (sin phi1))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R)))
17.126 * * * * [progress]: [ 26 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)))>
17.126 * * * * [progress]: [ 27 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (posit16->real (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))))>
17.126 * * * * [progress]: [ 28 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))>
17.126 * * * * [progress]: [ 29 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 2) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
17.127 * [simplify]: Simplifying (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))
17.127 * * [simplify]: iters left: 5 (7 enodes)
17.130 * * [simplify]: iters left: 4 (26 enodes)
17.134 * * [simplify]: iters left: 3 (32 enodes)
17.138 * * [simplify]: Extracting #0: cost 1 inf + 0
17.138 * * [simplify]: Extracting #1: cost 5 inf + 0
17.138 * * [simplify]: Extracting #2: cost 10 inf + 0
17.138 * * [simplify]: Extracting #3: cost 15 inf + 0
17.138 * * [simplify]: Extracting #4: cost 13 inf + 43
17.138 * * [simplify]: Extracting #5: cost 4 inf + 800
17.138 * * [simplify]: Extracting #6: cost 1 inf + 1186
17.139 * * [simplify]: Extracting #7: cost 0 inf + 1428
17.139 * [simplify]: Simplified to (- (cos (- phi1 phi2)) (cos (+ phi2 phi1)))
17.139 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) 2) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
17.139 * * * * [progress]: [ 30 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi1) (sin phi2)) 1) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
17.139 * [simplify]: Simplifying (* (sin phi1) (sin phi2))
17.139 * * [simplify]: iters left: 3 (5 enodes)
17.140 * * [simplify]: iters left: 2 (16 enodes)
17.142 * * [simplify]: Extracting #0: cost 1 inf + 0
17.142 * * [simplify]: Extracting #1: cost 4 inf + 0
17.142 * * [simplify]: Extracting #2: cost 8 inf + 0
17.142 * * [simplify]: Extracting #3: cost 4 inf + 124
17.143 * * [simplify]: Extracting #4: cost 0 inf + 570
17.143 * [simplify]: Simplified to (* (sin phi2) (sin phi1))
17.143 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi2) (sin phi1)) 1) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
17.143 * * * * [progress]: [ 31 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi1) (sin phi2)) 1) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
17.143 * * * * [progress]: [ 32 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (+ (log (sin phi1)) (log (sin phi2)))) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
17.143 * [simplify]: Simplifying (+ (log (sin phi1)) (log (sin phi2)))
17.143 * * [simplify]: iters left: 4 (7 enodes)
17.144 * * [simplify]: iters left: 3 (22 enodes)
17.147 * * [simplify]: Extracting #0: cost 1 inf + 0
17.147 * * [simplify]: Extracting #1: cost 4 inf + 0
17.147 * * [simplify]: Extracting #2: cost 8 inf + 0
17.147 * * [simplify]: Extracting #3: cost 12 inf + 0
17.147 * * [simplify]: Extracting #4: cost 10 inf + 2
17.147 * * [simplify]: Extracting #5: cost 4 inf + 508
17.147 * * [simplify]: Extracting #6: cost 1 inf + 1072
17.147 * * [simplify]: Extracting #7: cost 0 inf + 1374
17.148 * [simplify]: Simplified to (+ (log (sin phi2)) (log (sin phi1)))
17.148 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (+ (log (sin phi2)) (log (sin phi1)))) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
17.148 * * * * [progress]: [ 33 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (log (* (sin phi1) (sin phi2)))) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
17.148 * * * * [progress]: [ 34 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
17.148 * * * * [progress]: [ 35 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
17.148 * [simplify]: Simplifying (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))
17.148 * * [simplify]: iters left: 6 (9 enodes)
17.150 * * [simplify]: iters left: 5 (34 enodes)
17.155 * * [simplify]: iters left: 4 (63 enodes)
17.176 * * [simplify]: iters left: 3 (122 enodes)
17.203 * * [simplify]: iters left: 2 (196 enodes)
17.270 * * [simplify]: iters left: 1 (356 enodes)
17.399 * * [simplify]: Extracting #0: cost 1 inf + 0
17.399 * * [simplify]: Extracting #1: cost 70 inf + 0
17.400 * * [simplify]: Extracting #2: cost 169 inf + 1
17.402 * * [simplify]: Extracting #3: cost 154 inf + 2658
17.409 * * [simplify]: Extracting #4: cost 86 inf + 31524
17.424 * * [simplify]: Extracting #5: cost 7 inf + 77226
17.440 * * [simplify]: Extracting #6: cost 0 inf + 81813
17.456 * [simplify]: Simplified to (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1)))
17.456 * [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 lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
17.457 * * * * [progress]: [ 36 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2)))) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
17.457 * * * * [progress]: [ 37 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
17.457 * * * * [progress]: [ 38 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2)))) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
17.457 * * * * [progress]: [ 39 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* 1 (* (sin phi1) (sin phi2))) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
17.457 * * * * [progress]: [ 40 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2)))) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
17.457 * [simplify]: Simplifying (* (sqrt (sin phi1)) (sqrt (sin phi2)))
17.457 * * [simplify]: iters left: 4 (7 enodes)
17.460 * * [simplify]: iters left: 3 (22 enodes)
17.466 * * [simplify]: Extracting #0: cost 1 inf + 0
17.467 * * [simplify]: Extracting #1: cost 4 inf + 0
17.467 * * [simplify]: Extracting #2: cost 8 inf + 0
17.467 * * [simplify]: Extracting #3: cost 12 inf + 0
17.467 * * [simplify]: Extracting #4: cost 10 inf + 2
17.467 * * [simplify]: Extracting #5: cost 4 inf + 448
17.467 * * [simplify]: Extracting #6: cost 1 inf + 892
17.468 * * [simplify]: Extracting #7: cost 0 inf + 1134
17.468 * [simplify]: Simplified to (* (sqrt (sin phi1)) (sqrt (sin phi2)))
17.468 * [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 lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
17.468 * [simplify]: Simplifying (* (sqrt (sin phi1)) (sqrt (sin phi2)))
17.468 * * [simplify]: iters left: 4 (7 enodes)
17.471 * * [simplify]: iters left: 3 (22 enodes)
17.477 * * [simplify]: Extracting #0: cost 1 inf + 0
17.477 * * [simplify]: Extracting #1: cost 4 inf + 0
17.477 * * [simplify]: Extracting #2: cost 8 inf + 0
17.477 * * [simplify]: Extracting #3: cost 12 inf + 0
17.478 * * [simplify]: Extracting #4: cost 10 inf + 2
17.478 * * [simplify]: Extracting #5: cost 4 inf + 448
17.478 * * [simplify]: Extracting #6: cost 1 inf + 892
17.478 * * [simplify]: Extracting #7: cost 0 inf + 1134
17.479 * [simplify]: Simplified to (* (sqrt (sin phi1)) (sqrt (sin phi2)))
17.479 * [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 lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
17.479 * * * * [progress]: [ 41 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
17.479 * [simplify]: Simplifying (cbrt (sin phi2))
17.479 * * [simplify]: iters left: 2 (3 enodes)
17.481 * * [simplify]: iters left: 1 (9 enodes)
17.483 * * [simplify]: Extracting #0: cost 1 inf + 0
17.483 * * [simplify]: Extracting #1: cost 3 inf + 0
17.483 * * [simplify]: Extracting #2: cost 5 inf + 0
17.483 * * [simplify]: Extracting #3: cost 4 inf + 1
17.483 * * [simplify]: Extracting #4: cost 0 inf + 405
17.484 * [simplify]: Simplified to (cbrt (sin phi2))
17.484 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
17.484 * * * * [progress]: [ 42 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (sqrt (sin phi2))) (sqrt (sin phi2))) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
17.484 * [simplify]: Simplifying (sqrt (sin phi2))
17.484 * * [simplify]: iters left: 2 (3 enodes)
17.486 * * [simplify]: iters left: 1 (9 enodes)
17.488 * * [simplify]: Extracting #0: cost 1 inf + 0
17.488 * * [simplify]: Extracting #1: cost 3 inf + 0
17.488 * * [simplify]: Extracting #2: cost 5 inf + 0
17.488 * * [simplify]: Extracting #3: cost 4 inf + 1
17.488 * * [simplify]: Extracting #4: cost 0 inf + 325
17.489 * [simplify]: Simplified to (sqrt (sin phi2))
17.489 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (sqrt (sin phi2))) (sqrt (sin phi2))) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
17.489 * * * * [progress]: [ 43 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) 1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
17.489 * [simplify]: Simplifying (sin phi2)
17.489 * * [simplify]: iters left: 1 (2 enodes)
17.490 * * [simplify]: Extracting #0: cost 1 inf + 0
17.490 * * [simplify]: Extracting #1: cost 3 inf + 0
17.490 * * [simplify]: Extracting #2: cost 2 inf + 1
17.490 * * [simplify]: Extracting #3: cost 0 inf + 123
17.490 * [simplify]: Simplified to (sin phi2)
17.490 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) 1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
17.491 * * * * [progress]: [ 44 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
17.491 * [simplify]: Simplifying (* (cbrt (sin phi1)) (cbrt (sin phi1)))
17.491 * * [simplify]: iters left: 4 (4 enodes)
17.493 * * [simplify]: iters left: 3 (12 enodes)
17.496 * * [simplify]: Extracting #0: cost 1 inf + 0
17.496 * * [simplify]: Extracting #1: cost 3 inf + 0
17.496 * * [simplify]: Extracting #2: cost 5 inf + 0
17.496 * * [simplify]: Extracting #3: cost 7 inf + 0
17.496 * * [simplify]: Extracting #4: cost 6 inf + 1
17.496 * * [simplify]: Extracting #5: cost 0 inf + 767
17.497 * [simplify]: Simplified to (* (cbrt (sin phi1)) (cbrt (sin phi1)))
17.497 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
17.497 * * * * [progress]: [ 45 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
17.497 * [simplify]: Simplifying (sqrt (sin phi1))
17.497 * * [simplify]: iters left: 2 (3 enodes)
17.499 * * [simplify]: iters left: 1 (9 enodes)
17.501 * * [simplify]: Extracting #0: cost 1 inf + 0
17.501 * * [simplify]: Extracting #1: cost 3 inf + 0
17.501 * * [simplify]: Extracting #2: cost 5 inf + 0
17.501 * * [simplify]: Extracting #3: cost 4 inf + 1
17.501 * * [simplify]: Extracting #4: cost 0 inf + 325
17.501 * [simplify]: Simplified to (sqrt (sin phi1))
17.501 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
17.502 * * * * [progress]: [ 46 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* 1 (* (sin phi1) (sin phi2))) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
17.502 * * * * [progress]: [ 47 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (posit16->real (real->posit16 (* (sin phi1) (sin phi2)))) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
17.502 * * * * [progress]: [ 48 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
17.502 * * * * [progress]: [ 49 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (pow (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) 1)))) R))>
17.502 * [simplify]: Simplifying (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))
17.502 * * [simplify]: iters left: 5 (11 enodes)
17.505 * * [simplify]: iters left: 4 (40 enodes)
17.510 * * [simplify]: iters left: 3 (63 enodes)
17.520 * * [simplify]: iters left: 2 (101 enodes)
17.540 * * [simplify]: iters left: 1 (122 enodes)
17.570 * * [simplify]: Extracting #0: cost 1 inf + 0
17.570 * * [simplify]: Extracting #1: cost 16 inf + 0
17.570 * * [simplify]: Extracting #2: cost 34 inf + 0
17.571 * * [simplify]: Extracting #3: cost 27 inf + 187
17.572 * * [simplify]: Extracting #4: cost 8 inf + 3366
17.574 * * [simplify]: Extracting #5: cost 0 inf + 5268
17.576 * [simplify]: Simplified to (* (* (sin lambda1) (* (cos phi2) (sin lambda2))) (cos phi1))
17.576 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (pow (* (* (sin lambda1) (* (cos phi2) (sin lambda2))) (cos phi1)) 1)))) R))
17.576 * * * * [progress]: [ 50 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (pow (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) 1)))) R))>
17.576 * [simplify]: Simplifying (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))
17.576 * * [simplify]: iters left: 5 (11 enodes)
17.581 * * [simplify]: iters left: 4 (40 enodes)
17.593 * * [simplify]: iters left: 3 (63 enodes)
17.613 * * [simplify]: iters left: 2 (101 enodes)
17.644 * * [simplify]: iters left: 1 (122 enodes)
17.675 * * [simplify]: Extracting #0: cost 1 inf + 0
17.675 * * [simplify]: Extracting #1: cost 16 inf + 0
17.676 * * [simplify]: Extracting #2: cost 34 inf + 0
17.676 * * [simplify]: Extracting #3: cost 27 inf + 187
17.677 * * [simplify]: Extracting #4: cost 8 inf + 3366
17.679 * * [simplify]: Extracting #5: cost 0 inf + 5268
17.680 * [simplify]: Simplified to (* (* (sin lambda1) (* (cos phi2) (sin lambda2))) (cos phi1))
17.681 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (pow (* (* (sin lambda1) (* (cos phi2) (sin lambda2))) (cos phi1)) 1)))) R))
17.681 * * * * [progress]: [ 51 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (pow (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) 1)))) R))>
17.681 * [simplify]: Simplifying (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))
17.681 * * [simplify]: iters left: 5 (11 enodes)
17.686 * * [simplify]: iters left: 4 (40 enodes)
17.698 * * [simplify]: iters left: 3 (63 enodes)
17.718 * * [simplify]: iters left: 2 (101 enodes)
17.748 * * [simplify]: iters left: 1 (122 enodes)
17.778 * * [simplify]: Extracting #0: cost 1 inf + 0
17.778 * * [simplify]: Extracting #1: cost 16 inf + 0
17.778 * * [simplify]: Extracting #2: cost 34 inf + 0
17.778 * * [simplify]: Extracting #3: cost 27 inf + 187
17.780 * * [simplify]: Extracting #4: cost 8 inf + 3366
17.782 * * [simplify]: Extracting #5: cost 0 inf + 5268
17.784 * [simplify]: Simplified to (* (* (sin lambda1) (* (cos phi2) (sin lambda2))) (cos phi1))
17.784 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (pow (* (* (sin lambda1) (* (cos phi2) (sin lambda2))) (cos phi1)) 1)))) R))
17.785 * * * * [progress]: [ 52 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (pow (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) 1)))) R))>
17.785 * [simplify]: Simplifying (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))
17.785 * * [simplify]: iters left: 5 (11 enodes)
17.790 * * [simplify]: iters left: 4 (40 enodes)
17.802 * * [simplify]: iters left: 3 (63 enodes)
17.822 * * [simplify]: iters left: 2 (101 enodes)
17.852 * * [simplify]: iters left: 1 (122 enodes)
17.882 * * [simplify]: Extracting #0: cost 1 inf + 0
17.882 * * [simplify]: Extracting #1: cost 16 inf + 0
17.882 * * [simplify]: Extracting #2: cost 34 inf + 0
17.883 * * [simplify]: Extracting #3: cost 27 inf + 187
17.884 * * [simplify]: Extracting #4: cost 8 inf + 3366
17.885 * * [simplify]: Extracting #5: cost 0 inf + 5268
17.887 * [simplify]: Simplified to (* (* (sin lambda1) (* (cos phi2) (sin lambda2))) (cos phi1))
17.888 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (pow (* (* (sin lambda1) (* (cos phi2) (sin lambda2))) (cos phi1)) 1)))) R))
17.888 * * * * [progress]: [ 53 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (pow (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) 1)))) R))>
17.888 * * * * [progress]: [ 54 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (exp (+ (+ (log (sin lambda1)) (log (sin lambda2))) (+ (log (cos phi1)) (log (cos phi2)))))))) R))>
17.888 * [simplify]: Simplifying (+ (+ (log (sin lambda1)) (log (sin lambda2))) (+ (log (cos phi1)) (log (cos phi2))))
17.888 * * [simplify]: iters left: 6 (15 enodes)
17.895 * * [simplify]: iters left: 5 (52 enodes)
17.910 * * [simplify]: iters left: 4 (75 enodes)
17.933 * * [simplify]: iters left: 3 (111 enodes)
17.946 * * [simplify]: iters left: 2 (126 enodes)
17.960 * * [simplify]: Extracting #0: cost 1 inf + 0
17.960 * * [simplify]: Extracting #1: cost 16 inf + 0
17.960 * * [simplify]: Extracting #2: cost 34 inf + 0
17.960 * * [simplify]: Extracting #3: cost 42 inf + 0
17.960 * * [simplify]: Extracting #4: cost 26 inf + 1498
17.961 * * [simplify]: Extracting #5: cost 6 inf + 7911
17.963 * * [simplify]: Extracting #6: cost 0 inf + 10236
17.965 * [simplify]: Simplified to (+ (+ (log (sin lambda2)) (log (sin lambda1))) (+ (log (cos phi2)) (log (cos phi1))))
17.966 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (exp (+ (+ (log (sin lambda2)) (log (sin lambda1))) (+ (log (cos phi2)) (log (cos phi1)))))))) R))
17.966 * * * * [progress]: [ 55 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (exp (+ (+ (log (sin lambda1)) (log (sin lambda2))) (log (* (cos phi1) (cos phi2)))))))) R))>
17.966 * [simplify]: Simplifying (+ (+ (log (sin lambda1)) (log (sin lambda2))) (log (* (cos phi1) (cos phi2))))
17.966 * * [simplify]: iters left: 6 (14 enodes)
17.972 * * [simplify]: iters left: 5 (50 enodes)
17.986 * * [simplify]: iters left: 4 (69 enodes)
18.005 * * [simplify]: iters left: 3 (104 enodes)
18.031 * * [simplify]: iters left: 2 (130 enodes)
18.043 * * [simplify]: Extracting #0: cost 1 inf + 0
18.043 * * [simplify]: Extracting #1: cost 16 inf + 0
18.044 * * [simplify]: Extracting #2: cost 35 inf + 0
18.044 * * [simplify]: Extracting #3: cost 44 inf + 0
18.044 * * [simplify]: Extracting #4: cost 34 inf + 440
18.044 * * [simplify]: Extracting #5: cost 14 inf + 4653
18.046 * * [simplify]: Extracting #6: cost 2 inf + 9124
18.047 * * [simplify]: Extracting #7: cost 0 inf + 10000
18.049 * [simplify]: Simplified to (+ (log (* (cos phi1) (cos phi2))) (+ (log (sin lambda2)) (log (sin lambda1))))
18.049 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (exp (+ (log (* (cos phi1) (cos phi2))) (+ (log (sin lambda2)) (log (sin lambda1)))))))) R))
18.049 * * * * [progress]: [ 56 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (exp (+ (log (* (sin lambda1) (sin lambda2))) (+ (log (cos phi1)) (log (cos phi2)))))))) R))>
18.049 * [simplify]: Simplifying (+ (log (* (sin lambda1) (sin lambda2))) (+ (log (cos phi1)) (log (cos phi2))))
18.049 * * [simplify]: iters left: 6 (14 enodes)
18.052 * * [simplify]: iters left: 5 (50 enodes)
18.058 * * [simplify]: iters left: 4 (69 enodes)
18.068 * * [simplify]: iters left: 3 (104 enodes)
18.092 * * [simplify]: iters left: 2 (131 enodes)
18.107 * * [simplify]: Extracting #0: cost 1 inf + 0
18.107 * * [simplify]: Extracting #1: cost 16 inf + 0
18.107 * * [simplify]: Extracting #2: cost 35 inf + 0
18.107 * * [simplify]: Extracting #3: cost 44 inf + 0
18.107 * * [simplify]: Extracting #4: cost 28 inf + 1327
18.108 * * [simplify]: Extracting #5: cost 13 inf + 5126
18.109 * * [simplify]: Extracting #6: cost 2 inf + 9295
18.111 * * [simplify]: Extracting #7: cost 0 inf + 10000
18.112 * [simplify]: Simplified to (+ (log (* (sin lambda2) (sin lambda1))) (+ (log (cos phi1)) (log (cos phi2))))
18.112 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (exp (+ (log (* (sin lambda2) (sin lambda1))) (+ (log (cos phi1)) (log (cos phi2)))))))) R))
18.112 * * * * [progress]: [ 57 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (exp (+ (log (* (sin lambda1) (sin lambda2))) (log (* (cos phi1) (cos phi2)))))))) R))>
18.112 * [simplify]: Simplifying (+ (log (* (sin lambda1) (sin lambda2))) (log (* (cos phi1) (cos phi2))))
18.113 * * [simplify]: iters left: 6 (13 enodes)
18.115 * * [simplify]: iters left: 5 (48 enodes)
18.121 * * [simplify]: iters left: 4 (66 enodes)
18.130 * * [simplify]: iters left: 3 (97 enodes)
18.143 * * [simplify]: iters left: 2 (125 enodes)
18.159 * * [simplify]: iters left: 1 (130 enodes)
18.175 * * [simplify]: Extracting #0: cost 1 inf + 0
18.175 * * [simplify]: Extracting #1: cost 16 inf + 0
18.175 * * [simplify]: Extracting #2: cost 36 inf + 0
18.175 * * [simplify]: Extracting #3: cost 46 inf + 0
18.175 * * [simplify]: Extracting #4: cost 33 inf + 763
18.176 * * [simplify]: Extracting #5: cost 13 inf + 5994
18.177 * * [simplify]: Extracting #6: cost 2 inf + 9129
18.178 * * [simplify]: Extracting #7: cost 0 inf + 9764
18.180 * [simplify]: Simplified to (+ (log (* (sin lambda2) (sin lambda1))) (log (* (cos phi2) (cos phi1))))
18.180 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (exp (+ (log (* (sin lambda2) (sin lambda1))) (log (* (cos phi2) (cos phi1)))))))) R))
18.180 * * * * [progress]: [ 58 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (exp (log (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))>
18.180 * * * * [progress]: [ 59 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (log (exp (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))>
18.180 * * * * [progress]: [ 60 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (cbrt (* (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2)))))))) R))>
18.180 * [simplify]: Simplifying (* (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))))
18.181 * * [simplify]: iters left: 6 (19 enodes)
18.185 * * [simplify]: iters left: 5 (76 enodes)
18.198 * * [simplify]: iters left: 4 (194 enodes)
18.282 * * [simplify]: Extracting #0: cost 1 inf + 0
18.282 * * [simplify]: Extracting #1: cost 59 inf + 0
18.284 * * [simplify]: Extracting #2: cost 248 inf + 0
18.289 * * [simplify]: Extracting #3: cost 194 inf + 13374
18.310 * * [simplify]: Extracting #4: cost 32 inf + 72117
18.328 * * [simplify]: Extracting #5: cost 0 inf + 84399
18.345 * * [simplify]: Extracting #6: cost 0 inf + 83679
18.365 * [simplify]: Simplified to (* (* (* (sin lambda2) (sin lambda1)) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))) (* (* (cos phi2) (cos phi1)) (* (* (cos phi2) (cos phi1)) (* (cos phi2) (cos phi1)))))
18.365 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (cbrt (* (* (* (sin lambda2) (sin lambda1)) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))) (* (* (cos phi2) (cos phi1)) (* (* (cos phi2) (cos phi1)) (* (cos phi2) (cos phi1))))))))) R))
18.366 * * * * [progress]: [ 61 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (cbrt (* (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2)))))))) R))>
18.366 * [simplify]: Simplifying (* (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))))
18.366 * * [simplify]: iters left: 6 (17 enodes)
18.374 * * [simplify]: iters left: 5 (74 enodes)
18.403 * * [simplify]: iters left: 4 (201 enodes)
18.536 * * [simplify]: Extracting #0: cost 1 inf + 0
18.537 * * [simplify]: Extracting #1: cost 61 inf + 0
18.538 * * [simplify]: Extracting #2: cost 254 inf + 0
18.541 * * [simplify]: Extracting #3: cost 226 inf + 5432
18.550 * * [simplify]: Extracting #4: cost 152 inf + 27252
18.580 * * [simplify]: Extracting #5: cost 15 inf + 81243
18.620 * * [simplify]: Extracting #6: cost 0 inf + 87556
18.655 * * [simplify]: Extracting #7: cost 0 inf + 87436
18.691 * [simplify]: Simplified to (* (* (* (* (cos phi2) (cos phi1)) (* (cos phi2) (cos phi1))) (* (cos phi2) (cos phi1))) (* (* (sin lambda2) (sin lambda1)) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))))
18.691 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (cbrt (* (* (* (* (cos phi2) (cos phi1)) (* (cos phi2) (cos phi1))) (* (cos phi2) (cos phi1))) (* (* (sin lambda2) (sin lambda1)) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))))))))) R))
18.691 * * * * [progress]: [ 62 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (cbrt (* (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2)))))))) R))>
18.692 * [simplify]: Simplifying (* (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))))
18.692 * * [simplify]: iters left: 6 (17 enodes)
18.700 * * [simplify]: iters left: 5 (74 enodes)
18.728 * * [simplify]: iters left: 4 (201 enodes)
18.833 * * [simplify]: Extracting #0: cost 1 inf + 0
18.834 * * [simplify]: Extracting #1: cost 58 inf + 0
18.835 * * [simplify]: Extracting #2: cost 262 inf + 0
18.838 * * [simplify]: Extracting #3: cost 232 inf + 5802
18.848 * * [simplify]: Extracting #4: cost 135 inf + 36177
18.884 * * [simplify]: Extracting #5: cost 13 inf + 85332
18.919 * * [simplify]: Extracting #6: cost 0 inf + 89517
18.939 * * [simplify]: Extracting #7: cost 0 inf + 89477
18.963 * [simplify]: Simplified to (* (* (* (cos phi2) (cos phi1)) (* (* (cos phi2) (cos phi1)) (* (cos phi2) (cos phi1)))) (* (* (sin lambda2) (sin lambda1)) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))))
18.963 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (cbrt (* (* (* (cos phi2) (cos phi1)) (* (* (cos phi2) (cos phi1)) (* (cos phi2) (cos phi1)))) (* (* (sin lambda2) (sin lambda1)) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))))))))) R))
18.964 * * * * [progress]: [ 63 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (cbrt (* (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2)))))))) R))>
18.964 * [simplify]: Simplifying (* (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))))
18.964 * * [simplify]: iters left: 6 (15 enodes)
18.972 * * [simplify]: iters left: 5 (72 enodes)
19.000 * * [simplify]: iters left: 4 (208 enodes)
19.122 * * [simplify]: Extracting #0: cost 1 inf + 0
19.122 * * [simplify]: Extracting #1: cost 63 inf + 0
19.123 * * [simplify]: Extracting #2: cost 270 inf + 0
19.129 * * [simplify]: Extracting #3: cost 196 inf + 19621
19.146 * * [simplify]: Extracting #4: cost 18 inf + 86680
19.170 * * [simplify]: Extracting #5: cost 0 inf + 94094
19.208 * [simplify]: Simplified to (* (* (* (cos phi1) (cos phi2)) (* (sin lambda2) (sin lambda1))) (* (* (* (cos phi1) (cos phi2)) (* (sin lambda2) (sin lambda1))) (* (* (cos phi1) (cos phi2)) (* (sin lambda2) (sin lambda1)))))
19.208 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (cbrt (* (* (* (cos phi1) (cos phi2)) (* (sin lambda2) (sin lambda1))) (* (* (* (cos phi1) (cos phi2)) (* (sin lambda2) (sin lambda1))) (* (* (cos phi1) (cos phi2)) (* (sin lambda2) (sin lambda1))))))))) R))
19.209 * * * * [progress]: [ 64 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (cbrt (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))) (cbrt (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))) (cbrt (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))>
19.209 * * * * [progress]: [ 65 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (cbrt (* (* (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))>
19.209 * * * * [progress]: [ 66 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (sqrt (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))) (sqrt (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))>
19.209 * * * * [progress]: [ 67 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (/ (* (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2)))) (* 2 2))))) R))>
19.209 * [simplify]: Simplifying (* (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))))
19.210 * * [simplify]: iters left: 6 (15 enodes)
19.216 * * [simplify]: iters left: 5 (61 enodes)
19.238 * * [simplify]: iters left: 4 (98 enodes)
19.269 * * [simplify]: iters left: 3 (163 enodes)
19.306 * * [simplify]: iters left: 2 (265 enodes)
19.351 * * [simplify]: iters left: 1 (361 enodes)
19.429 * * [simplify]: Extracting #0: cost 1 inf + 0
19.429 * * [simplify]: Extracting #1: cost 31 inf + 0
19.429 * * [simplify]: Extracting #2: cost 84 inf + 0
19.429 * * [simplify]: Extracting #3: cost 96 inf + 0
19.430 * * [simplify]: Extracting #4: cost 106 inf + 0
19.430 * * [simplify]: Extracting #5: cost 96 inf + 819
19.431 * * [simplify]: Extracting #6: cost 75 inf + 4251
19.434 * * [simplify]: Extracting #7: cost 34 inf + 18952
19.441 * * [simplify]: Extracting #8: cost 1 inf + 33922
19.448 * * [simplify]: Extracting #9: cost 0 inf + 34406
19.455 * [simplify]: Simplified to (* (+ (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))))
19.455 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (/ (* (+ (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1)))) (* 2 2))))) R))
19.456 * [simplify]: Simplifying (* 2 2)
19.456 * * [simplify]: iters left: 2 (2 enodes)
19.457 * * [simplify]: iters left: 1 (7 enodes)
19.459 * * [simplify]: Extracting #0: cost 1 inf + 0
19.459 * * [simplify]: Extracting #1: cost 0 inf + 1
19.459 * [simplify]: Simplified to 4
19.459 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (/ (* (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2)))) 4)))) R))
19.459 * * * * [progress]: [ 68 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* 1 (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R))>
19.459 * * * * [progress]: [ 69 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (* (sin lambda1) (sin lambda2)) (cos phi1)) (cos phi2))))) R))>
19.459 * [simplify]: Simplifying (cos phi2)
19.459 * * [simplify]: iters left: 1 (2 enodes)
19.460 * * [simplify]: Extracting #0: cost 1 inf + 0
19.460 * * [simplify]: Extracting #1: cost 3 inf + 0
19.460 * * [simplify]: Extracting #2: cost 2 inf + 1
19.460 * * [simplify]: Extracting #3: cost 0 inf + 123
19.460 * [simplify]: Simplified to (cos phi2)
19.460 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (* (sin lambda1) (sin lambda2)) (cos phi1)) (cos phi2))))) R))
19.461 * * * * [progress]: [ 70 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (sin lambda1) (* (sin lambda2) (* (cos phi1) (cos phi2))))))) R))>
19.461 * [simplify]: Simplifying (sin lambda1)
19.461 * * [simplify]: iters left: 1 (2 enodes)
19.462 * * [simplify]: Extracting #0: cost 1 inf + 0
19.462 * * [simplify]: Extracting #1: cost 3 inf + 0
19.462 * * [simplify]: Extracting #2: cost 2 inf + 1
19.462 * * [simplify]: Extracting #3: cost 0 inf + 123
19.462 * [simplify]: Simplified to (sin lambda1)
19.462 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (sin lambda1) (* (sin lambda2) (* (cos phi1) (cos phi2))))))) R))
19.462 * * * * [progress]: [ 71 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (/ (* (* (sin lambda1) (sin lambda2)) (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2)))) 2)))) R))>
19.462 * * * * [progress]: [ 72 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (/ (* (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (cos phi1) (cos phi2))) 2)))) R))>
19.463 * [simplify]: Simplifying (* (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (cos phi1) (cos phi2)))
19.463 * * [simplify]: iters left: 6 (13 enodes)
19.468 * * [simplify]: iters left: 5 (48 enodes)
19.474 * * [simplify]: iters left: 4 (68 enodes)
19.484 * * [simplify]: iters left: 3 (112 enodes)
19.505 * * [simplify]: iters left: 2 (165 enodes)
19.527 * * [simplify]: iters left: 1 (225 enodes)
19.583 * * [simplify]: Extracting #0: cost 1 inf + 0
19.583 * * [simplify]: Extracting #1: cost 13 inf + 0
19.583 * * [simplify]: Extracting #2: cost 40 inf + 0
19.583 * * [simplify]: Extracting #3: cost 50 inf + 124
19.584 * * [simplify]: Extracting #4: cost 51 inf + 650
19.585 * * [simplify]: Extracting #5: cost 44 inf + 1380
19.586 * * [simplify]: Extracting #6: cost 22 inf + 5134
19.590 * * [simplify]: Extracting #7: cost 1 inf + 10961
19.594 * * [simplify]: Extracting #8: cost 0 inf + 11304
19.597 * [simplify]: Simplified to (* (* (cos phi1) (cos phi2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))))
19.597 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (/ (* (* (cos phi1) (cos phi2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1)))) 2)))) R))
19.597 * * * * [progress]: [ 73 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (posit16->real (real->posit16 (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))>
19.597 * * * * [progress]: [ 74 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))>
19.597 * * * * [progress]: [ 75 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) R))>
19.597 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
19.597 * * [simplify]: iters left: 6 (22 enodes)
19.602 * * [simplify]: iters left: 5 (84 enodes)
19.614 * * [simplify]: iters left: 4 (141 enodes)
19.639 * * [simplify]: iters left: 3 (241 enodes)
19.678 * * [simplify]: iters left: 2 (280 enodes)
19.744 * * [simplify]: Extracting #0: cost 1 inf + 0
19.744 * * [simplify]: Extracting #1: cost 3 inf + 0
19.744 * * [simplify]: Extracting #2: cost 10 inf + 0
19.744 * * [simplify]: Extracting #3: cost 46 inf + 0
19.745 * * [simplify]: Extracting #4: cost 80 inf + 0
19.745 * * [simplify]: Extracting #5: cost 63 inf + 1504
19.746 * * [simplify]: Extracting #6: cost 22 inf + 9796
19.749 * * [simplify]: Extracting #7: cost 5 inf + 17031
19.752 * * [simplify]: Extracting #8: cost 0 inf + 19888
19.756 * * [simplify]: Extracting #9: cost 0 inf + 19728
19.759 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))
19.759 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) R))
19.759 * * * * [progress]: [ 76 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R))>
19.759 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
19.759 * * [simplify]: iters left: 6 (22 enodes)
19.764 * * [simplify]: iters left: 5 (84 enodes)
19.777 * * [simplify]: iters left: 4 (141 enodes)
19.816 * * [simplify]: iters left: 3 (241 enodes)
19.869 * * [simplify]: iters left: 2 (280 enodes)
19.914 * * [simplify]: Extracting #0: cost 1 inf + 0
19.914 * * [simplify]: Extracting #1: cost 3 inf + 0
19.914 * * [simplify]: Extracting #2: cost 10 inf + 0
19.914 * * [simplify]: Extracting #3: cost 46 inf + 0
19.915 * * [simplify]: Extracting #4: cost 80 inf + 0
19.915 * * [simplify]: Extracting #5: cost 58 inf + 2112
19.919 * * [simplify]: Extracting #6: cost 20 inf + 10221
19.924 * * [simplify]: Extracting #7: cost 2 inf + 18300
19.931 * * [simplify]: Extracting #8: cost 0 inf + 19888
19.937 * * [simplify]: Extracting #9: cost 0 inf + 19728
19.944 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))
19.944 * [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))
19.944 * * * * [progress]: [ 77 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R))>
19.945 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
19.945 * * [simplify]: iters left: 6 (22 enodes)
19.953 * * [simplify]: iters left: 5 (84 enodes)
19.966 * * [simplify]: iters left: 4 (141 enodes)
19.994 * * [simplify]: iters left: 3 (241 enodes)
20.042 * * [simplify]: iters left: 2 (280 enodes)
20.079 * * [simplify]: Extracting #0: cost 1 inf + 0
20.079 * * [simplify]: Extracting #1: cost 3 inf + 0
20.079 * * [simplify]: Extracting #2: cost 10 inf + 0
20.079 * * [simplify]: Extracting #3: cost 46 inf + 0
20.079 * * [simplify]: Extracting #4: cost 80 inf + 0
20.079 * * [simplify]: Extracting #5: cost 63 inf + 1504
20.081 * * [simplify]: Extracting #6: cost 22 inf + 9796
20.084 * * [simplify]: Extracting #7: cost 5 inf + 17031
20.087 * * [simplify]: Extracting #8: cost 0 inf + 19888
20.090 * * [simplify]: Extracting #9: cost 0 inf + 19728
20.094 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))
20.094 * [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))
20.094 * * * * [progress]: [ 78 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))))>
20.094 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
20.094 * * [simplify]: iters left: 6 (24 enodes)
20.099 * * [simplify]: iters left: 5 (91 enodes)
20.113 * * [simplify]: iters left: 4 (148 enodes)
20.139 * * [simplify]: iters left: 3 (248 enodes)
20.185 * * [simplify]: iters left: 2 (295 enodes)
20.224 * * [simplify]: Extracting #0: cost 1 inf + 0
20.224 * * [simplify]: Extracting #1: cost 4 inf + 0
20.224 * * [simplify]: Extracting #2: cost 5 inf + 1
20.224 * * [simplify]: Extracting #3: cost 12 inf + 1
20.224 * * [simplify]: Extracting #4: cost 48 inf + 1
20.225 * * [simplify]: Extracting #5: cost 82 inf + 1
20.225 * * [simplify]: Extracting #6: cost 71 inf + 634
20.226 * * [simplify]: Extracting #7: cost 31 inf + 8806
20.229 * * [simplify]: Extracting #8: cost 5 inf + 18631
20.232 * * [simplify]: Extracting #9: cost 1 inf + 20704
20.236 * * [simplify]: Extracting #10: cost 0 inf + 21559
20.239 * * [simplify]: Extracting #11: cost 0 inf + 21519
20.243 * [simplify]: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))) (cos phi2))))))
20.243 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))) (cos phi2)))))))
20.243 * * * * [progress]: [ 79 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R))>
20.243 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R)
20.243 * * [simplify]: iters left: 6 (24 enodes)
20.249 * * [simplify]: iters left: 5 (91 enodes)
20.277 * * [simplify]: iters left: 4 (148 enodes)
20.320 * * [simplify]: iters left: 3 (248 enodes)
20.375 * * [simplify]: iters left: 2 (292 enodes)
20.451 * * [simplify]: Extracting #0: cost 1 inf + 0
20.452 * * [simplify]: Extracting #1: cost 4 inf + 0
20.452 * * [simplify]: Extracting #2: cost 5 inf + 1
20.452 * * [simplify]: Extracting #3: cost 12 inf + 1
20.452 * * [simplify]: Extracting #4: cost 48 inf + 1
20.452 * * [simplify]: Extracting #5: cost 82 inf + 1
20.453 * * [simplify]: Extracting #6: cost 61 inf + 2052
20.456 * * [simplify]: Extracting #7: cost 23 inf + 9919
20.462 * * [simplify]: Extracting #8: cost 4 inf + 18021
20.469 * * [simplify]: Extracting #9: cost 1 inf + 20624
20.476 * * [simplify]: Extracting #10: cost 0 inf + 21519
20.479 * [simplify]: Simplified to (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R)
20.479 * [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))
20.479 * * * * [progress]: [ 80 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))>
20.479 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
20.480 * * [simplify]: iters left: 6 (24 enodes)
20.485 * * [simplify]: iters left: 5 (91 enodes)
20.499 * * [simplify]: iters left: 4 (148 enodes)
20.530 * * [simplify]: iters left: 3 (248 enodes)
20.602 * * [simplify]: iters left: 2 (295 enodes)
20.647 * * [simplify]: Extracting #0: cost 1 inf + 0
20.647 * * [simplify]: Extracting #1: cost 4 inf + 0
20.647 * * [simplify]: Extracting #2: cost 5 inf + 1
20.647 * * [simplify]: Extracting #3: cost 12 inf + 1
20.647 * * [simplify]: Extracting #4: cost 48 inf + 1
20.647 * * [simplify]: Extracting #5: cost 82 inf + 1
20.648 * * [simplify]: Extracting #6: cost 71 inf + 634
20.650 * * [simplify]: Extracting #7: cost 31 inf + 8806
20.657 * * [simplify]: Extracting #8: cost 5 inf + 18631
20.663 * * [simplify]: Extracting #9: cost 1 inf + 20704
20.670 * * [simplify]: Extracting #10: cost 0 inf + 21559
20.677 * * [simplify]: Extracting #11: cost 0 inf + 21519
20.686 * [simplify]: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))
20.686 * [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)))))))
20.686 * * * * [progress]: [ 81 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* phi1 phi2) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
20.687 * [simplify]: Simplifying (* phi1 phi2)
20.687 * * [simplify]: iters left: 2 (3 enodes)
20.688 * * [simplify]: iters left: 1 (10 enodes)
20.690 * * [simplify]: Extracting #0: cost 1 inf + 0
20.691 * * [simplify]: Extracting #1: cost 4 inf + 0
20.691 * * [simplify]: Extracting #2: cost 2 inf + 2
20.691 * * [simplify]: Extracting #3: cost 0 inf + 86
20.691 * [simplify]: Simplified to (* phi1 phi2)
20.691 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* phi1 phi2) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
20.691 * * * * [progress]: [ 82 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
20.691 * [simplify]: Simplifying (* (sin phi1) (sin phi2))
20.691 * * [simplify]: iters left: 3 (5 enodes)
20.694 * * [simplify]: iters left: 2 (16 enodes)
20.698 * * [simplify]: Extracting #0: cost 1 inf + 0
20.698 * * [simplify]: Extracting #1: cost 4 inf + 0
20.698 * * [simplify]: Extracting #2: cost 8 inf + 0
20.698 * * [simplify]: Extracting #3: cost 4 inf + 124
20.698 * * [simplify]: Extracting #4: cost 0 inf + 570
20.698 * [simplify]: Simplified to (* (sin phi2) (sin phi1))
20.698 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
20.699 * * * * [progress]: [ 83 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
20.699 * [simplify]: Simplifying (* (sin phi1) (sin phi2))
20.699 * * [simplify]: iters left: 3 (5 enodes)
20.701 * * [simplify]: iters left: 2 (16 enodes)
20.705 * * [simplify]: Extracting #0: cost 1 inf + 0
20.705 * * [simplify]: Extracting #1: cost 4 inf + 0
20.705 * * [simplify]: Extracting #2: cost 8 inf + 0
20.706 * * [simplify]: Extracting #3: cost 4 inf + 124
20.706 * * [simplify]: Extracting #4: cost 0 inf + 570
20.706 * [simplify]: Simplified to (* (sin phi2) (sin phi1))
20.706 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
20.706 * * * * [progress]: [ 84 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) 0))) R))>
20.706 * [simplify]: Simplifying 0
20.706 * * [simplify]: iters left: 0 (1 enodes)
20.708 * * [simplify]: Extracting #0: cost 1 inf + 0
20.708 * * [simplify]: Extracting #1: cost 0 inf + 1
20.708 * [simplify]: Simplified to 0
20.708 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) 0))) R))
20.708 * * * * [progress]: [ 85 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1))))))) R))>
20.709 * [simplify]: Simplifying (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1))))
20.709 * * [simplify]: iters left: 6 (11 enodes)
20.714 * * [simplify]: iters left: 5 (40 enodes)
20.726 * * [simplify]: iters left: 4 (64 enodes)
20.747 * * [simplify]: iters left: 3 (100 enodes)
20.775 * * [simplify]: iters left: 2 (116 enodes)
20.796 * * [simplify]: Extracting #0: cost 1 inf + 0
20.796 * * [simplify]: Extracting #1: cost 16 inf + 0
20.796 * * [simplify]: Extracting #2: cost 34 inf + 0
20.796 * * [simplify]: Extracting #3: cost 23 inf + 633
20.797 * * [simplify]: Extracting #4: cost 5 inf + 4155
20.798 * * [simplify]: Extracting #5: cost 0 inf + 5268
20.799 * [simplify]: Simplified to (* (* (cos phi2) (sin lambda1)) (* (sin lambda2) (cos phi1)))
20.799 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (cos phi2) (sin lambda1)) (* (sin lambda2) (cos phi1)))))) R))
20.799 * * * * [progress]: [ 86 / 86 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R))>
20.799 * [simplify]: Simplifying (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))
20.799 * * [simplify]: iters left: 6 (11 enodes)
20.801 * * [simplify]: iters left: 5 (40 enodes)
20.808 * * [simplify]: iters left: 4 (64 enodes)
20.818 * * [simplify]: iters left: 3 (100 enodes)
20.839 * * [simplify]: iters left: 2 (116 enodes)
20.864 * * [simplify]: Extracting #0: cost 1 inf + 0
20.864 * * [simplify]: Extracting #1: cost 16 inf + 0
20.864 * * [simplify]: Extracting #2: cost 34 inf + 0
20.865 * * [simplify]: Extracting #3: cost 23 inf + 633
20.866 * * [simplify]: Extracting #4: cost 5 inf + 4155
20.868 * * [simplify]: Extracting #5: cost 0 inf + 5268
20.869 * [simplify]: Simplified to (* (* (cos phi2) (sin lambda2)) (* (sin lambda1) (cos phi1)))
20.870 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (cos phi2) (sin lambda2)) (* (sin lambda1) (cos phi1)))))) R))
20.870 * * * [progress]: adding candidates to table
22.951 * * [progress]: iteration 4 / 4
22.951 * * * [progress]: picking best candidate
23.163 * * * * [pick]: Picked  #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))>
23.163 * * * [progress]: localizing error
23.257 * * * [progress]: generating rewritten candidates
23.257 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1)
23.259 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
23.268 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1)
23.275 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
23.291 * * * [progress]: generating series expansions
23.291 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1)
23.291 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
23.291 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0
23.291 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
23.291 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
23.291 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
23.292 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
23.292 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
23.292 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
23.292 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
23.292 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
23.292 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
23.292 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
23.293 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
23.293 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
23.293 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
23.293 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
23.293 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
23.293 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
23.294 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
23.294 * [taylor]: Taking taylor expansion of 0 in phi2
23.294 * [backup-simplify]: Simplify 0 into 0
23.294 * [taylor]: Taking taylor expansion of 0 in lambda1
23.294 * [backup-simplify]: Simplify 0 into 0
23.294 * [taylor]: Taking taylor expansion of 0 in lambda2
23.294 * [backup-simplify]: Simplify 0 into 0
23.294 * [backup-simplify]: Simplify 0 into 0
23.294 * [taylor]: Taking taylor expansion of 0 in lambda1
23.294 * [backup-simplify]: Simplify 0 into 0
23.294 * [taylor]: Taking taylor expansion of 0 in lambda2
23.294 * [backup-simplify]: Simplify 0 into 0
23.294 * [backup-simplify]: Simplify 0 into 0
23.294 * [taylor]: Taking taylor expansion of 0 in lambda2
23.294 * [backup-simplify]: Simplify 0 into 0
23.294 * [backup-simplify]: Simplify 0 into 0
23.294 * [backup-simplify]: Simplify 0 into 0
23.294 * [taylor]: Taking taylor expansion of 0 in phi2
23.294 * [backup-simplify]: Simplify 0 into 0
23.294 * [taylor]: Taking taylor expansion of 0 in lambda1
23.294 * [backup-simplify]: Simplify 0 into 0
23.294 * [taylor]: Taking taylor expansion of 0 in lambda2
23.294 * [backup-simplify]: Simplify 0 into 0
23.294 * [backup-simplify]: Simplify 0 into 0
23.294 * [taylor]: Taking taylor expansion of 0 in lambda1
23.294 * [backup-simplify]: Simplify 0 into 0
23.294 * [taylor]: Taking taylor expansion of 0 in lambda2
23.294 * [backup-simplify]: Simplify 0 into 0
23.294 * [backup-simplify]: Simplify 0 into 0
23.295 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
23.295 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (cos (/ 1 phi1))) (cos (/ 1 phi2))) (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (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))))))
23.295 * [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 (phi1 phi2 lambda1 lambda2) around 0
23.295 * [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
23.295 * [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))))))
23.295 * [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
23.296 * [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))))))
23.296 * [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
23.296 * [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))))))
23.296 * [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
23.297 * [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))))))
23.297 * [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 phi1
23.297 * [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))))))
23.297 * [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 phi2
23.297 * [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))))))
23.298 * [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 lambda1
23.298 * [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))))))
23.298 * [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
23.298 * [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))))))
23.299 * [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))))))
23.299 * [taylor]: Taking taylor expansion of 0 in phi2
23.299 * [backup-simplify]: Simplify 0 into 0
23.299 * [taylor]: Taking taylor expansion of 0 in lambda1
23.299 * [backup-simplify]: Simplify 0 into 0
23.299 * [taylor]: Taking taylor expansion of 0 in lambda2
23.299 * [backup-simplify]: Simplify 0 into 0
23.299 * [backup-simplify]: Simplify 0 into 0
23.299 * [taylor]: Taking taylor expansion of 0 in lambda1
23.299 * [backup-simplify]: Simplify 0 into 0
23.299 * [taylor]: Taking taylor expansion of 0 in lambda2
23.299 * [backup-simplify]: Simplify 0 into 0
23.299 * [backup-simplify]: Simplify 0 into 0
23.299 * [taylor]: Taking taylor expansion of 0 in lambda2
23.299 * [backup-simplify]: Simplify 0 into 0
23.299 * [backup-simplify]: Simplify 0 into 0
23.299 * [backup-simplify]: Simplify 0 into 0
23.299 * [taylor]: Taking taylor expansion of 0 in phi2
23.299 * [backup-simplify]: Simplify 0 into 0
23.299 * [taylor]: Taking taylor expansion of 0 in lambda1
23.299 * [backup-simplify]: Simplify 0 into 0
23.299 * [taylor]: Taking taylor expansion of 0 in lambda2
23.299 * [backup-simplify]: Simplify 0 into 0
23.299 * [backup-simplify]: Simplify 0 into 0
23.299 * [taylor]: Taking taylor expansion of 0 in lambda1
23.299 * [backup-simplify]: Simplify 0 into 0
23.299 * [taylor]: Taking taylor expansion of 0 in lambda2
23.299 * [backup-simplify]: Simplify 0 into 0
23.299 * [backup-simplify]: Simplify 0 into 0
23.300 * [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)))))
23.300 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (cos (/ 1 (- phi1)))) (cos (/ 1 (- phi2)))) (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (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))))))))
23.300 * [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
23.300 * [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
23.301 * [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))))))))
23.301 * [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
23.301 * [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))))))))
23.301 * [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
23.302 * [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))))))))
23.302 * [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
23.302 * [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))))))))
23.302 * [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
23.303 * [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))))))))
23.303 * [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
23.303 * [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))))))))
23.303 * [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
23.303 * [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))))))))
23.303 * [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
23.304 * [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))))))))
23.304 * [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))))))))
23.304 * [taylor]: Taking taylor expansion of 0 in phi2
23.304 * [backup-simplify]: Simplify 0 into 0
23.304 * [taylor]: Taking taylor expansion of 0 in lambda1
23.304 * [backup-simplify]: Simplify 0 into 0
23.304 * [taylor]: Taking taylor expansion of 0 in lambda2
23.304 * [backup-simplify]: Simplify 0 into 0
23.304 * [backup-simplify]: Simplify 0 into 0
23.304 * [taylor]: Taking taylor expansion of 0 in lambda1
23.304 * [backup-simplify]: Simplify 0 into 0
23.304 * [taylor]: Taking taylor expansion of 0 in lambda2
23.304 * [backup-simplify]: Simplify 0 into 0
23.304 * [backup-simplify]: Simplify 0 into 0
23.305 * [taylor]: Taking taylor expansion of 0 in lambda2
23.305 * [backup-simplify]: Simplify 0 into 0
23.305 * [backup-simplify]: Simplify 0 into 0
23.305 * [backup-simplify]: Simplify 0 into 0
23.305 * [taylor]: Taking taylor expansion of 0 in phi2
23.305 * [backup-simplify]: Simplify 0 into 0
23.305 * [taylor]: Taking taylor expansion of 0 in lambda1
23.305 * [backup-simplify]: Simplify 0 into 0
23.305 * [taylor]: Taking taylor expansion of 0 in lambda2
23.305 * [backup-simplify]: Simplify 0 into 0
23.305 * [backup-simplify]: Simplify 0 into 0
23.305 * [taylor]: Taking taylor expansion of 0 in lambda1
23.305 * [backup-simplify]: Simplify 0 into 0
23.305 * [taylor]: Taking taylor expansion of 0 in lambda2
23.305 * [backup-simplify]: Simplify 0 into 0
23.305 * [backup-simplify]: Simplify 0 into 0
23.305 * [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)))))
23.305 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
23.306 * [backup-simplify]: Simplify (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
23.306 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0
23.306 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
23.306 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
23.306 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
23.306 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
23.306 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
23.307 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
23.307 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
23.307 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
23.307 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
23.307 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
23.307 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
23.308 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
23.308 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
23.308 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
23.308 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
23.308 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
23.309 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
23.309 * [taylor]: Taking taylor expansion of 0 in phi2
23.309 * [backup-simplify]: Simplify 0 into 0
23.309 * [taylor]: Taking taylor expansion of 0 in lambda1
23.309 * [backup-simplify]: Simplify 0 into 0
23.309 * [taylor]: Taking taylor expansion of 0 in lambda2
23.309 * [backup-simplify]: Simplify 0 into 0
23.309 * [backup-simplify]: Simplify 0 into 0
23.309 * [taylor]: Taking taylor expansion of 0 in lambda1
23.309 * [backup-simplify]: Simplify 0 into 0
23.309 * [taylor]: Taking taylor expansion of 0 in lambda2
23.309 * [backup-simplify]: Simplify 0 into 0
23.309 * [backup-simplify]: Simplify 0 into 0
23.309 * [taylor]: Taking taylor expansion of 0 in lambda2
23.309 * [backup-simplify]: Simplify 0 into 0
23.309 * [backup-simplify]: Simplify 0 into 0
23.309 * [backup-simplify]: Simplify 0 into 0
23.309 * [taylor]: Taking taylor expansion of 0 in phi2
23.309 * [backup-simplify]: Simplify 0 into 0
23.309 * [taylor]: Taking taylor expansion of 0 in lambda1
23.309 * [backup-simplify]: Simplify 0 into 0
23.309 * [taylor]: Taking taylor expansion of 0 in lambda2
23.309 * [backup-simplify]: Simplify 0 into 0
23.309 * [backup-simplify]: Simplify 0 into 0
23.309 * [taylor]: Taking taylor expansion of 0 in lambda1
23.309 * [backup-simplify]: Simplify 0 into 0
23.309 * [taylor]: Taking taylor expansion of 0 in lambda2
23.309 * [backup-simplify]: Simplify 0 into 0
23.309 * [backup-simplify]: Simplify 0 into 0
23.309 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
23.310 * [backup-simplify]: Simplify (log (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (cos (/ 1 phi1))) (cos (/ 1 phi2))) (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (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))))))
23.310 * [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 (phi1 phi2 lambda1 lambda2) around 0
23.310 * [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
23.310 * [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))))))
23.310 * [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
23.311 * [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))))))
23.311 * [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
23.311 * [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))))))
23.311 * [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
23.312 * [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))))))
23.312 * [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
23.313 * [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))))))
23.313 * [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
23.313 * [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))))))
23.313 * [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
23.314 * [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))))))
23.314 * [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
23.315 * [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))))))
23.316 * [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))))))
23.316 * [taylor]: Taking taylor expansion of 0 in phi2
23.316 * [backup-simplify]: Simplify 0 into 0
23.316 * [taylor]: Taking taylor expansion of 0 in lambda1
23.316 * [backup-simplify]: Simplify 0 into 0
23.316 * [taylor]: Taking taylor expansion of 0 in lambda2
23.316 * [backup-simplify]: Simplify 0 into 0
23.316 * [backup-simplify]: Simplify 0 into 0
23.316 * [taylor]: Taking taylor expansion of 0 in lambda1
23.316 * [backup-simplify]: Simplify 0 into 0
23.316 * [taylor]: Taking taylor expansion of 0 in lambda2
23.316 * [backup-simplify]: Simplify 0 into 0
23.316 * [backup-simplify]: Simplify 0 into 0
23.316 * [taylor]: Taking taylor expansion of 0 in lambda2
23.316 * [backup-simplify]: Simplify 0 into 0
23.316 * [backup-simplify]: Simplify 0 into 0
23.316 * [backup-simplify]: Simplify 0 into 0
23.317 * [taylor]: Taking taylor expansion of 0 in phi2
23.317 * [backup-simplify]: Simplify 0 into 0
23.317 * [taylor]: Taking taylor expansion of 0 in lambda1
23.317 * [backup-simplify]: Simplify 0 into 0
23.317 * [taylor]: Taking taylor expansion of 0 in lambda2
23.317 * [backup-simplify]: Simplify 0 into 0
23.317 * [backup-simplify]: Simplify 0 into 0
23.317 * [taylor]: Taking taylor expansion of 0 in lambda1
23.317 * [backup-simplify]: Simplify 0 into 0
23.317 * [taylor]: Taking taylor expansion of 0 in lambda2
23.317 * [backup-simplify]: Simplify 0 into 0
23.317 * [backup-simplify]: Simplify 0 into 0
23.318 * [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)))))
23.319 * [backup-simplify]: Simplify (log (exp (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (cos (/ 1 (- phi1)))) (cos (/ 1 (- phi2)))) (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (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))))))))
23.319 * [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
23.319 * [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 lambda2
23.320 * [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 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))))))))
23.320 * [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
23.321 * [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))))))))
23.321 * [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 phi2
23.321 * [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))))))))
23.321 * [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 phi1
23.322 * [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 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))))))))
23.322 * [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
23.323 * [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))))))))
23.323 * [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
23.324 * [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))))))))
23.324 * [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
23.325 * [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))))))))
23.325 * [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 lambda2
23.325 * [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))))))))
23.326 * [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 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))))))))
23.326 * [taylor]: Taking taylor expansion of 0 in phi2
23.326 * [backup-simplify]: Simplify 0 into 0
23.327 * [taylor]: Taking taylor expansion of 0 in lambda1
23.327 * [backup-simplify]: Simplify 0 into 0
23.327 * [taylor]: Taking taylor expansion of 0 in lambda2
23.327 * [backup-simplify]: Simplify 0 into 0
23.327 * [backup-simplify]: Simplify 0 into 0
23.327 * [taylor]: Taking taylor expansion of 0 in lambda1
23.327 * [backup-simplify]: Simplify 0 into 0
23.327 * [taylor]: Taking taylor expansion of 0 in lambda2
23.327 * [backup-simplify]: Simplify 0 into 0
23.327 * [backup-simplify]: Simplify 0 into 0
23.327 * [taylor]: Taking taylor expansion of 0 in lambda2
23.327 * [backup-simplify]: Simplify 0 into 0
23.327 * [backup-simplify]: Simplify 0 into 0
23.327 * [backup-simplify]: Simplify 0 into 0
23.327 * [taylor]: Taking taylor expansion of 0 in phi2
23.327 * [backup-simplify]: Simplify 0 into 0
23.327 * [taylor]: Taking taylor expansion of 0 in lambda1
23.327 * [backup-simplify]: Simplify 0 into 0
23.327 * [taylor]: Taking taylor expansion of 0 in lambda2
23.327 * [backup-simplify]: Simplify 0 into 0
23.327 * [backup-simplify]: Simplify 0 into 0
23.327 * [taylor]: Taking taylor expansion of 0 in lambda1
23.327 * [backup-simplify]: Simplify 0 into 0
23.327 * [taylor]: Taking taylor expansion of 0 in lambda2
23.327 * [backup-simplify]: Simplify 0 into 0
23.327 * [backup-simplify]: Simplify 0 into 0
23.328 * [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)))))
23.328 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1)
23.329 * [backup-simplify]: Simplify (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
23.329 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0
23.329 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
23.329 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
23.333 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
23.333 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
23.334 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
23.334 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
23.334 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
23.335 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
23.335 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2
23.335 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
23.335 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
23.336 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
23.336 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1
23.336 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
23.337 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
23.337 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
23.337 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1
23.337 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
23.338 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
23.338 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
23.339 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2
23.339 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
23.339 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
23.340 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
23.340 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
23.340 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
23.340 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
23.341 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
23.341 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
23.341 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
23.342 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
23.342 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
23.343 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
23.345 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0
23.345 * [taylor]: Taking taylor expansion of 0 in phi2
23.345 * [backup-simplify]: Simplify 0 into 0
23.345 * [taylor]: Taking taylor expansion of 0 in lambda1
23.345 * [backup-simplify]: Simplify 0 into 0
23.345 * [taylor]: Taking taylor expansion of 0 in lambda2
23.345 * [backup-simplify]: Simplify 0 into 0
23.345 * [backup-simplify]: Simplify 0 into 0
23.347 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0
23.347 * [taylor]: Taking taylor expansion of 0 in lambda1
23.347 * [backup-simplify]: Simplify 0 into 0
23.347 * [taylor]: Taking taylor expansion of 0 in lambda2
23.347 * [backup-simplify]: Simplify 0 into 0
23.347 * [backup-simplify]: Simplify 0 into 0
23.348 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0
23.348 * [taylor]: Taking taylor expansion of 0 in lambda2
23.348 * [backup-simplify]: Simplify 0 into 0
23.348 * [backup-simplify]: Simplify 0 into 0
23.350 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0
23.350 * [backup-simplify]: Simplify 0 into 0
23.352 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
23.352 * [taylor]: Taking taylor expansion of 0 in phi2
23.352 * [backup-simplify]: Simplify 0 into 0
23.352 * [taylor]: Taking taylor expansion of 0 in lambda1
23.352 * [backup-simplify]: Simplify 0 into 0
23.352 * [taylor]: Taking taylor expansion of 0 in lambda2
23.352 * [backup-simplify]: Simplify 0 into 0
23.352 * [backup-simplify]: Simplify 0 into 0
23.352 * [taylor]: Taking taylor expansion of 0 in lambda1
23.352 * [backup-simplify]: Simplify 0 into 0
23.352 * [taylor]: Taking taylor expansion of 0 in lambda2
23.352 * [backup-simplify]: Simplify 0 into 0
23.352 * [backup-simplify]: Simplify 0 into 0
23.353 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
23.354 * [backup-simplify]: Simplify (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (cos (/ 1 phi1))) (cos (/ 1 phi2))) (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (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)))))))
23.354 * [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 (phi1 phi2 lambda1 lambda2) around 0
23.354 * [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
23.354 * [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
23.355 * [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))))))
23.355 * [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)))))))
23.356 * [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
23.356 * [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
23.356 * [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))))))
23.357 * [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)))))))
23.357 * [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
23.357 * [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
23.358 * [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))))))
23.358 * [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)))))))
23.358 * [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
23.358 * [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
23.359 * [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))))))
23.360 * [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)))))))
23.360 * [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
23.360 * [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
23.361 * [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))))))
23.361 * [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)))))))
23.362 * [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
23.362 * [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
23.362 * [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))))))
23.363 * [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)))))))
23.363 * [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
23.363 * [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
23.364 * [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))))))
23.365 * [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)))))))
23.365 * [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
23.365 * [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
23.366 * [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))))))
23.366 * [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)))))))
23.367 * [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)))))))
23.369 * [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
23.369 * [taylor]: Taking taylor expansion of 0 in phi2
23.369 * [backup-simplify]: Simplify 0 into 0
23.369 * [taylor]: Taking taylor expansion of 0 in lambda1
23.369 * [backup-simplify]: Simplify 0 into 0
23.369 * [taylor]: Taking taylor expansion of 0 in lambda2
23.369 * [backup-simplify]: Simplify 0 into 0
23.369 * [backup-simplify]: Simplify 0 into 0
23.371 * [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
23.371 * [taylor]: Taking taylor expansion of 0 in lambda1
23.371 * [backup-simplify]: Simplify 0 into 0
23.371 * [taylor]: Taking taylor expansion of 0 in lambda2
23.372 * [backup-simplify]: Simplify 0 into 0
23.372 * [backup-simplify]: Simplify 0 into 0
23.373 * [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
23.373 * [taylor]: Taking taylor expansion of 0 in lambda2
23.373 * [backup-simplify]: Simplify 0 into 0
23.373 * [backup-simplify]: Simplify 0 into 0
23.375 * [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
23.375 * [backup-simplify]: Simplify 0 into 0
23.377 * [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
23.377 * [taylor]: Taking taylor expansion of 0 in phi2
23.377 * [backup-simplify]: Simplify 0 into 0
23.377 * [taylor]: Taking taylor expansion of 0 in lambda1
23.377 * [backup-simplify]: Simplify 0 into 0
23.377 * [taylor]: Taking taylor expansion of 0 in lambda2
23.377 * [backup-simplify]: Simplify 0 into 0
23.377 * [backup-simplify]: Simplify 0 into 0
23.377 * [taylor]: Taking taylor expansion of 0 in lambda1
23.377 * [backup-simplify]: Simplify 0 into 0
23.377 * [taylor]: Taking taylor expansion of 0 in lambda2
23.377 * [backup-simplify]: Simplify 0 into 0
23.377 * [backup-simplify]: Simplify 0 into 0
23.378 * [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))))))
23.379 * [backup-simplify]: Simplify (exp (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (cos (/ 1 (- phi1)))) (cos (/ 1 (- phi2)))) (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (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)))))))))
23.379 * [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 (phi1 phi2 lambda1 lambda2) around 0
23.379 * [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
23.379 * [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
23.380 * [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))))))))
23.381 * [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)))))))))
23.381 * [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
23.381 * [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
23.382 * [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))))))))
23.383 * [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)))))))))
23.383 * [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
23.383 * [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
23.383 * [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))))))))
23.384 * [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)))))))))
23.384 * [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
23.384 * [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
23.385 * [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))))))))
23.386 * [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)))))))))
23.386 * [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
23.386 * [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
23.387 * [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))))))))
23.388 * [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)))))))))
23.388 * [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
23.388 * [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
23.389 * [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))))))))
23.389 * [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)))))))))
23.389 * [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
23.389 * [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
23.390 * [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))))))))
23.391 * [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)))))))))
23.391 * [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
23.391 * [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
23.392 * [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))))))))
23.393 * [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)))))))))
23.393 * [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)))))))))
23.395 * [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
23.395 * [taylor]: Taking taylor expansion of 0 in phi2
23.395 * [backup-simplify]: Simplify 0 into 0
23.395 * [taylor]: Taking taylor expansion of 0 in lambda1
23.395 * [backup-simplify]: Simplify 0 into 0
23.395 * [taylor]: Taking taylor expansion of 0 in lambda2
23.396 * [backup-simplify]: Simplify 0 into 0
23.396 * [backup-simplify]: Simplify 0 into 0
23.397 * [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
23.397 * [taylor]: Taking taylor expansion of 0 in lambda1
23.397 * [backup-simplify]: Simplify 0 into 0
23.397 * [taylor]: Taking taylor expansion of 0 in lambda2
23.397 * [backup-simplify]: Simplify 0 into 0
23.397 * [backup-simplify]: Simplify 0 into 0
23.399 * [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
23.399 * [taylor]: Taking taylor expansion of 0 in lambda2
23.399 * [backup-simplify]: Simplify 0 into 0
23.399 * [backup-simplify]: Simplify 0 into 0
23.401 * [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
23.401 * [backup-simplify]: Simplify 0 into 0
23.403 * [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
23.403 * [taylor]: Taking taylor expansion of 0 in phi2
23.403 * [backup-simplify]: Simplify 0 into 0
23.403 * [taylor]: Taking taylor expansion of 0 in lambda1
23.403 * [backup-simplify]: Simplify 0 into 0
23.403 * [taylor]: Taking taylor expansion of 0 in lambda2
23.403 * [backup-simplify]: Simplify 0 into 0
23.403 * [backup-simplify]: Simplify 0 into 0
23.403 * [taylor]: Taking taylor expansion of 0 in lambda1
23.403 * [backup-simplify]: Simplify 0 into 0
23.403 * [taylor]: Taking taylor expansion of 0 in lambda2
23.403 * [backup-simplify]: Simplify 0 into 0
23.403 * [backup-simplify]: Simplify 0 into 0
23.405 * [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))))))
23.405 * * * * [progress]: [ 4 / 4 ] generating series at (2)
23.405 * [backup-simplify]: Simplify (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
23.405 * [approximate]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in (phi1 phi2 lambda1 lambda2 R) around 0
23.406 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in R
23.406 * [taylor]: Taking taylor expansion of R in R
23.406 * [backup-simplify]: Simplify 0 into 0
23.406 * [backup-simplify]: Simplify 1 into 1
23.406 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in R
23.406 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
23.406 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
23.406 * [taylor]: Taking taylor expansion of R in lambda2
23.406 * [backup-simplify]: Simplify R into R
23.406 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
23.407 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
23.407 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
23.407 * [taylor]: Taking taylor expansion of R in lambda1
23.407 * [backup-simplify]: Simplify R into R
23.407 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
23.407 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
23.407 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2
23.407 * [taylor]: Taking taylor expansion of R in phi2
23.407 * [backup-simplify]: Simplify R into R
23.407 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
23.408 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
23.408 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1
23.408 * [taylor]: Taking taylor expansion of R in phi1
23.408 * [backup-simplify]: Simplify R into R
23.408 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
23.409 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
23.409 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1
23.409 * [taylor]: Taking taylor expansion of R in phi1
23.409 * [backup-simplify]: Simplify R into R
23.409 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
23.409 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
23.410 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
23.410 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2
23.410 * [taylor]: Taking taylor expansion of R in phi2
23.410 * [backup-simplify]: Simplify R into R
23.410 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
23.411 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
23.412 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
23.412 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
23.412 * [taylor]: Taking taylor expansion of R in lambda1
23.412 * [backup-simplify]: Simplify R into R
23.412 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
23.413 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
23.413 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
23.413 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
23.413 * [taylor]: Taking taylor expansion of R in lambda2
23.413 * [backup-simplify]: Simplify R into R
23.413 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
23.414 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
23.414 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
23.415 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in R
23.415 * [taylor]: Taking taylor expansion of R in R
23.415 * [backup-simplify]: Simplify 0 into 0
23.415 * [backup-simplify]: Simplify 1 into 1
23.415 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in R
23.415 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
23.416 * [backup-simplify]: Simplify (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into 0
23.416 * [backup-simplify]: Simplify 0 into 0
23.416 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
23.416 * [taylor]: Taking taylor expansion of 0 in phi2
23.416 * [backup-simplify]: Simplify 0 into 0
23.417 * [taylor]: Taking taylor expansion of 0 in lambda1
23.417 * [backup-simplify]: Simplify 0 into 0
23.417 * [taylor]: Taking taylor expansion of 0 in lambda2
23.417 * [backup-simplify]: Simplify 0 into 0
23.417 * [taylor]: Taking taylor expansion of 0 in R
23.417 * [backup-simplify]: Simplify 0 into 0
23.417 * [backup-simplify]: Simplify 0 into 0
23.417 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
23.417 * [taylor]: Taking taylor expansion of 0 in lambda1
23.417 * [backup-simplify]: Simplify 0 into 0
23.417 * [taylor]: Taking taylor expansion of 0 in lambda2
23.417 * [backup-simplify]: Simplify 0 into 0
23.417 * [taylor]: Taking taylor expansion of 0 in R
23.417 * [backup-simplify]: Simplify 0 into 0
23.418 * [backup-simplify]: Simplify 0 into 0
23.418 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
23.418 * [taylor]: Taking taylor expansion of 0 in lambda2
23.418 * [backup-simplify]: Simplify 0 into 0
23.418 * [taylor]: Taking taylor expansion of 0 in R
23.418 * [backup-simplify]: Simplify 0 into 0
23.418 * [backup-simplify]: Simplify 0 into 0
23.419 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
23.419 * [taylor]: Taking taylor expansion of 0 in R
23.419 * [backup-simplify]: Simplify 0 into 0
23.419 * [backup-simplify]: Simplify 0 into 0
23.420 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
23.421 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
23.422 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0
23.422 * [taylor]: Taking taylor expansion of 0 in phi2
23.422 * [backup-simplify]: Simplify 0 into 0
23.422 * [taylor]: Taking taylor expansion of 0 in lambda1
23.422 * [backup-simplify]: Simplify 0 into 0
23.422 * [taylor]: Taking taylor expansion of 0 in lambda2
23.422 * [backup-simplify]: Simplify 0 into 0
23.422 * [taylor]: Taking taylor expansion of 0 in R
23.422 * [backup-simplify]: Simplify 0 into 0
23.422 * [backup-simplify]: Simplify 0 into 0
23.422 * [taylor]: Taking taylor expansion of 0 in lambda1
23.423 * [backup-simplify]: Simplify 0 into 0
23.423 * [taylor]: Taking taylor expansion of 0 in lambda2
23.423 * [backup-simplify]: Simplify 0 into 0
23.423 * [taylor]: Taking taylor expansion of 0 in R
23.423 * [backup-simplify]: Simplify 0 into 0
23.423 * [backup-simplify]: Simplify 0 into 0
23.424 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0
23.424 * [taylor]: Taking taylor expansion of 0 in lambda1
23.424 * [backup-simplify]: Simplify 0 into 0
23.424 * [taylor]: Taking taylor expansion of 0 in lambda2
23.424 * [backup-simplify]: Simplify 0 into 0
23.424 * [taylor]: Taking taylor expansion of 0 in R
23.424 * [backup-simplify]: Simplify 0 into 0
23.424 * [backup-simplify]: Simplify 0 into 0
23.424 * [taylor]: Taking taylor expansion of 0 in lambda2
23.424 * [backup-simplify]: Simplify 0 into 0
23.424 * [taylor]: Taking taylor expansion of 0 in R
23.424 * [backup-simplify]: Simplify 0 into 0
23.424 * [backup-simplify]: Simplify 0 into 0
23.424 * [taylor]: Taking taylor expansion of 0 in lambda2
23.424 * [backup-simplify]: Simplify 0 into 0
23.424 * [taylor]: Taking taylor expansion of 0 in R
23.424 * [backup-simplify]: Simplify 0 into 0
23.424 * [backup-simplify]: Simplify 0 into 0
23.425 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0
23.425 * [taylor]: Taking taylor expansion of 0 in lambda2
23.425 * [backup-simplify]: Simplify 0 into 0
23.426 * [taylor]: Taking taylor expansion of 0 in R
23.426 * [backup-simplify]: Simplify 0 into 0
23.426 * [backup-simplify]: Simplify 0 into 0
23.427 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) (* R (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
23.427 * [backup-simplify]: Simplify (* (log (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (cos (/ 1 phi1))) (cos (/ 1 phi2))) (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2))))))))) (/ 1 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)
23.428 * [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 (phi1 phi2 lambda1 lambda2 R) around 0
23.428 * [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
23.428 * [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
23.428 * [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))))))
23.428 * [taylor]: Taking taylor expansion of R in R
23.428 * [backup-simplify]: Simplify 0 into 0
23.428 * [backup-simplify]: Simplify 1 into 1
23.428 * [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))))))
23.428 * [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
23.428 * [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
23.429 * [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))))))
23.429 * [taylor]: Taking taylor expansion of R in lambda2
23.429 * [backup-simplify]: Simplify R into R
23.429 * [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)
23.429 * [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
23.429 * [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
23.430 * [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))))))
23.430 * [taylor]: Taking taylor expansion of R in lambda1
23.430 * [backup-simplify]: Simplify R into R
23.430 * [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)
23.430 * [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
23.430 * [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
23.431 * [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))))))
23.431 * [taylor]: Taking taylor expansion of R in phi2
23.431 * [backup-simplify]: Simplify R into R
23.431 * [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)
23.431 * [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
23.431 * [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
23.432 * [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))))))
23.432 * [taylor]: Taking taylor expansion of R in phi1
23.432 * [backup-simplify]: Simplify R into R
23.432 * [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)
23.432 * [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
23.432 * [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
23.432 * [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))))))
23.432 * [taylor]: Taking taylor expansion of R in phi1
23.432 * [backup-simplify]: Simplify R into R
23.433 * [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)
23.433 * [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
23.433 * [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
23.433 * [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))))))
23.433 * [taylor]: Taking taylor expansion of R in phi2
23.433 * [backup-simplify]: Simplify R into R
23.434 * [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)
23.434 * [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
23.434 * [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
23.434 * [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))))))
23.434 * [taylor]: Taking taylor expansion of R in lambda1
23.434 * [backup-simplify]: Simplify R into R
23.435 * [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)
23.435 * [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
23.435 * [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
23.435 * [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))))))
23.435 * [taylor]: Taking taylor expansion of R in lambda2
23.435 * [backup-simplify]: Simplify R into R
23.436 * [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)
23.436 * [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
23.436 * [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
23.436 * [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))))))
23.436 * [taylor]: Taking taylor expansion of R in R
23.436 * [backup-simplify]: Simplify 0 into 0
23.436 * [backup-simplify]: Simplify 1 into 1
23.436 * [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))))))
23.437 * [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))))))
23.437 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (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) (/ 0 R)))) into 0
23.437 * [taylor]: Taking taylor expansion of 0 in phi2
23.437 * [backup-simplify]: Simplify 0 into 0
23.437 * [taylor]: Taking taylor expansion of 0 in lambda1
23.437 * [backup-simplify]: Simplify 0 into 0
23.437 * [taylor]: Taking taylor expansion of 0 in lambda2
23.437 * [backup-simplify]: Simplify 0 into 0
23.437 * [taylor]: Taking taylor expansion of 0 in R
23.437 * [backup-simplify]: Simplify 0 into 0
23.438 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (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) (/ 0 R)))) into 0
23.438 * [taylor]: Taking taylor expansion of 0 in lambda1
23.438 * [backup-simplify]: Simplify 0 into 0
23.438 * [taylor]: Taking taylor expansion of 0 in lambda2
23.438 * [backup-simplify]: Simplify 0 into 0
23.438 * [taylor]: Taking taylor expansion of 0 in R
23.438 * [backup-simplify]: Simplify 0 into 0
23.439 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (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) (/ 0 R)))) into 0
23.439 * [taylor]: Taking taylor expansion of 0 in lambda2
23.439 * [backup-simplify]: Simplify 0 into 0
23.439 * [taylor]: Taking taylor expansion of 0 in R
23.439 * [backup-simplify]: Simplify 0 into 0
23.439 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (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) (/ 0 R)))) into 0
23.439 * [taylor]: Taking taylor expansion of 0 in R
23.439 * [backup-simplify]: Simplify 0 into 0
23.440 * [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
23.440 * [backup-simplify]: Simplify 0 into 0
23.441 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (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) (/ 0 R)) (* 0 (/ 0 R)))) into 0
23.441 * [taylor]: Taking taylor expansion of 0 in phi2
23.441 * [backup-simplify]: Simplify 0 into 0
23.441 * [taylor]: Taking taylor expansion of 0 in lambda1
23.441 * [backup-simplify]: Simplify 0 into 0
23.441 * [taylor]: Taking taylor expansion of 0 in lambda2
23.441 * [backup-simplify]: Simplify 0 into 0
23.441 * [taylor]: Taking taylor expansion of 0 in R
23.441 * [backup-simplify]: Simplify 0 into 0
23.441 * [taylor]: Taking taylor expansion of 0 in lambda1
23.441 * [backup-simplify]: Simplify 0 into 0
23.441 * [taylor]: Taking taylor expansion of 0 in lambda2
23.441 * [backup-simplify]: Simplify 0 into 0
23.441 * [taylor]: Taking taylor expansion of 0 in R
23.441 * [backup-simplify]: Simplify 0 into 0
23.442 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (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) (/ 0 R)) (* 0 (/ 0 R)))) into 0
23.442 * [taylor]: Taking taylor expansion of 0 in lambda1
23.442 * [backup-simplify]: Simplify 0 into 0
23.442 * [taylor]: Taking taylor expansion of 0 in lambda2
23.442 * [backup-simplify]: Simplify 0 into 0
23.442 * [taylor]: Taking taylor expansion of 0 in R
23.442 * [backup-simplify]: Simplify 0 into 0
23.442 * [taylor]: Taking taylor expansion of 0 in lambda2
23.442 * [backup-simplify]: Simplify 0 into 0
23.442 * [taylor]: Taking taylor expansion of 0 in R
23.442 * [backup-simplify]: Simplify 0 into 0
23.442 * [taylor]: Taking taylor expansion of 0 in lambda2
23.442 * [backup-simplify]: Simplify 0 into 0
23.442 * [taylor]: Taking taylor expansion of 0 in R
23.442 * [backup-simplify]: Simplify 0 into 0
23.442 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (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) (/ 0 R)) (* 0 (/ 0 R)))) into 0
23.442 * [taylor]: Taking taylor expansion of 0 in lambda2
23.443 * [backup-simplify]: Simplify 0 into 0
23.443 * [taylor]: Taking taylor expansion of 0 in R
23.443 * [backup-simplify]: Simplify 0 into 0
23.443 * [taylor]: Taking taylor expansion of 0 in R
23.443 * [backup-simplify]: Simplify 0 into 0
23.443 * [taylor]: Taking taylor expansion of 0 in R
23.443 * [backup-simplify]: Simplify 0 into 0
23.443 * [taylor]: Taking taylor expansion of 0 in R
23.443 * [backup-simplify]: Simplify 0 into 0
23.443 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (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) (/ 0 R)) (* 0 (/ 0 R)))) into 0
23.443 * [taylor]: Taking taylor expansion of 0 in R
23.443 * [backup-simplify]: Simplify 0 into 0
23.443 * [backup-simplify]: Simplify 0 into 0
23.443 * [backup-simplify]: Simplify 0 into 0
23.443 * [backup-simplify]: Simplify 0 into 0
23.443 * [backup-simplify]: Simplify 0 into 0
23.445 * [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
23.445 * [backup-simplify]: Simplify 0 into 0
23.446 * [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 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)
23.448 * [backup-simplify]: Simplify (* (log (exp (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (cos (/ 1 (- phi1)))) (cos (/ 1 (- phi2)))) (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))))))))) (/ 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))
23.448 * [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
23.448 * [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
23.448 * [taylor]: Taking taylor expansion of -1 in R
23.448 * [backup-simplify]: Simplify -1 into -1
23.448 * [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
23.448 * [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
23.448 * [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))))))))
23.448 * [taylor]: Taking taylor expansion of R in R
23.448 * [backup-simplify]: Simplify 0 into 0
23.449 * [backup-simplify]: Simplify 1 into 1
23.449 * [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))))))))
23.449 * [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
23.449 * [taylor]: Taking taylor expansion of -1 in lambda2
23.449 * [backup-simplify]: Simplify -1 into -1
23.449 * [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
23.449 * [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
23.449 * [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))))))))
23.449 * [taylor]: Taking taylor expansion of R in lambda2
23.449 * [backup-simplify]: Simplify R into R
23.450 * [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)
23.450 * [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
23.450 * [taylor]: Taking taylor expansion of -1 in lambda1
23.450 * [backup-simplify]: Simplify -1 into -1
23.450 * [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
23.450 * [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
23.450 * [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))))))))
23.450 * [taylor]: Taking taylor expansion of R in lambda1
23.450 * [backup-simplify]: Simplify R into R
23.451 * [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)
23.451 * [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
23.451 * [taylor]: Taking taylor expansion of -1 in phi2
23.451 * [backup-simplify]: Simplify -1 into -1
23.451 * [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
23.451 * [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
23.451 * [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))))))))
23.451 * [taylor]: Taking taylor expansion of R in phi2
23.451 * [backup-simplify]: Simplify R into R
23.452 * [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)
23.452 * [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
23.452 * [taylor]: Taking taylor expansion of -1 in phi1
23.452 * [backup-simplify]: Simplify -1 into -1
23.452 * [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
23.452 * [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
23.452 * [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))))))))
23.452 * [taylor]: Taking taylor expansion of R in phi1
23.452 * [backup-simplify]: Simplify R into R
23.453 * [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)
23.453 * [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
23.453 * [taylor]: Taking taylor expansion of -1 in phi1
23.453 * [backup-simplify]: Simplify -1 into -1
23.453 * [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
23.453 * [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
23.453 * [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))))))))
23.453 * [taylor]: Taking taylor expansion of R in phi1
23.453 * [backup-simplify]: Simplify R into R
23.454 * [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)
23.454 * [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))
23.454 * [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
23.454 * [taylor]: Taking taylor expansion of -1 in phi2
23.454 * [backup-simplify]: Simplify -1 into -1
23.454 * [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
23.454 * [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
23.455 * [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))))))))
23.455 * [taylor]: Taking taylor expansion of R in phi2
23.455 * [backup-simplify]: Simplify R into R
23.455 * [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)
23.455 * [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))
23.456 * [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
23.456 * [taylor]: Taking taylor expansion of -1 in lambda1
23.456 * [backup-simplify]: Simplify -1 into -1
23.456 * [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
23.456 * [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
23.456 * [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))))))))
23.456 * [taylor]: Taking taylor expansion of R in lambda1
23.456 * [backup-simplify]: Simplify R into R
23.456 * [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)
23.457 * [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))
23.457 * [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
23.457 * [taylor]: Taking taylor expansion of -1 in lambda2
23.457 * [backup-simplify]: Simplify -1 into -1
23.457 * [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
23.457 * [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
23.457 * [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))))))))
23.457 * [taylor]: Taking taylor expansion of R in lambda2
23.457 * [backup-simplify]: Simplify R into R
23.458 * [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)
23.458 * [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))
23.458 * [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
23.458 * [taylor]: Taking taylor expansion of -1 in R
23.458 * [backup-simplify]: Simplify -1 into -1
23.458 * [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
23.458 * [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
23.459 * [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))))))))
23.459 * [taylor]: Taking taylor expansion of R in R
23.459 * [backup-simplify]: Simplify 0 into 0
23.459 * [backup-simplify]: Simplify 1 into 1
23.459 * [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))))))))
23.460 * [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)))))))))
23.460 * [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)))))))))
23.461 * [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
23.462 * [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
23.462 * [taylor]: Taking taylor expansion of 0 in phi2
23.462 * [backup-simplify]: Simplify 0 into 0
23.462 * [taylor]: Taking taylor expansion of 0 in lambda1
23.462 * [backup-simplify]: Simplify 0 into 0
23.462 * [taylor]: Taking taylor expansion of 0 in lambda2
23.462 * [backup-simplify]: Simplify 0 into 0
23.462 * [taylor]: Taking taylor expansion of 0 in R
23.462 * [backup-simplify]: Simplify 0 into 0
23.462 * [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
23.463 * [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
23.463 * [taylor]: Taking taylor expansion of 0 in lambda1
23.463 * [backup-simplify]: Simplify 0 into 0
23.463 * [taylor]: Taking taylor expansion of 0 in lambda2
23.463 * [backup-simplify]: Simplify 0 into 0
23.463 * [taylor]: Taking taylor expansion of 0 in R
23.463 * [backup-simplify]: Simplify 0 into 0
23.464 * [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
23.464 * [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
23.464 * [taylor]: Taking taylor expansion of 0 in lambda2
23.464 * [backup-simplify]: Simplify 0 into 0
23.464 * [taylor]: Taking taylor expansion of 0 in R
23.464 * [backup-simplify]: Simplify 0 into 0
23.465 * [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
23.466 * [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
23.466 * [taylor]: Taking taylor expansion of 0 in R
23.466 * [backup-simplify]: Simplify 0 into 0
23.467 * [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
23.467 * [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
23.467 * [backup-simplify]: Simplify 0 into 0
23.468 * [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
23.469 * [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
23.469 * [taylor]: Taking taylor expansion of 0 in phi2
23.469 * [backup-simplify]: Simplify 0 into 0
23.469 * [taylor]: Taking taylor expansion of 0 in lambda1
23.469 * [backup-simplify]: Simplify 0 into 0
23.469 * [taylor]: Taking taylor expansion of 0 in lambda2
23.469 * [backup-simplify]: Simplify 0 into 0
23.469 * [taylor]: Taking taylor expansion of 0 in R
23.469 * [backup-simplify]: Simplify 0 into 0
23.469 * [taylor]: Taking taylor expansion of 0 in lambda1
23.469 * [backup-simplify]: Simplify 0 into 0
23.469 * [taylor]: Taking taylor expansion of 0 in lambda2
23.469 * [backup-simplify]: Simplify 0 into 0
23.469 * [taylor]: Taking taylor expansion of 0 in R
23.469 * [backup-simplify]: Simplify 0 into 0
23.470 * [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
23.471 * [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
23.471 * [taylor]: Taking taylor expansion of 0 in lambda1
23.471 * [backup-simplify]: Simplify 0 into 0
23.471 * [taylor]: Taking taylor expansion of 0 in lambda2
23.471 * [backup-simplify]: Simplify 0 into 0
23.471 * [taylor]: Taking taylor expansion of 0 in R
23.471 * [backup-simplify]: Simplify 0 into 0
23.471 * [taylor]: Taking taylor expansion of 0 in lambda2
23.471 * [backup-simplify]: Simplify 0 into 0
23.471 * [taylor]: Taking taylor expansion of 0 in R
23.471 * [backup-simplify]: Simplify 0 into 0
23.471 * [taylor]: Taking taylor expansion of 0 in lambda2
23.471 * [backup-simplify]: Simplify 0 into 0
23.471 * [taylor]: Taking taylor expansion of 0 in R
23.471 * [backup-simplify]: Simplify 0 into 0
23.472 * [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
23.473 * [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
23.473 * [taylor]: Taking taylor expansion of 0 in lambda2
23.473 * [backup-simplify]: Simplify 0 into 0
23.473 * [taylor]: Taking taylor expansion of 0 in R
23.473 * [backup-simplify]: Simplify 0 into 0
23.473 * [taylor]: Taking taylor expansion of 0 in R
23.473 * [backup-simplify]: Simplify 0 into 0
23.473 * [taylor]: Taking taylor expansion of 0 in R
23.473 * [backup-simplify]: Simplify 0 into 0
23.473 * [taylor]: Taking taylor expansion of 0 in R
23.473 * [backup-simplify]: Simplify 0 into 0
23.474 * [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
23.475 * [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
23.475 * [taylor]: Taking taylor expansion of 0 in R
23.475 * [backup-simplify]: Simplify 0 into 0
23.475 * [backup-simplify]: Simplify 0 into 0
23.475 * [backup-simplify]: Simplify 0 into 0
23.475 * [backup-simplify]: Simplify 0 into 0
23.475 * [backup-simplify]: Simplify 0 into 0
23.476 * [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
23.477 * [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
23.477 * [backup-simplify]: Simplify 0 into 0
23.478 * [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))))))
23.478 * * * [progress]: simplifying candidates
23.478 * * * * [progress]: [ 1 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) R))>
23.478 * * * * [progress]: [ 2 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (pow (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) 1))) R))>
23.479 * * * * [progress]: [ 3 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))>
23.479 * * * * [progress]: [ 4 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))>
23.479 * * * * [progress]: [ 5 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))>
23.479 * * * * [progress]: [ 6 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (cbrt (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))>
23.479 * * * * [progress]: [ 7 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))>
23.479 * * * * [progress]: [ 8 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (* 1 (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) R))>
23.479 * * * * [progress]: [ 9 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (posit16->real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))>
23.479 * * * * [progress]: [ 10 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (log (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))>
23.479 * [simplify]: Simplifying (log (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))))
23.479 * * [simplify]: iters left: 6 (26 enodes)
23.484 * * [simplify]: iters left: 5 (98 enodes)
23.501 * * [simplify]: iters left: 4 (161 enodes)
23.561 * * [simplify]: iters left: 3 (266 enodes)
23.646 * * [simplify]: iters left: 2 (302 enodes)
23.719 * * [simplify]: Extracting #0: cost 1 inf + 0
23.719 * * [simplify]: Extracting #1: cost 4 inf + 0
23.719 * * [simplify]: Extracting #2: cost 7 inf + 0
23.719 * * [simplify]: Extracting #3: cost 9 inf + 0
23.719 * * [simplify]: Extracting #4: cost 11 inf + 0
23.719 * * [simplify]: Extracting #5: cost 13 inf + 0
23.719 * * [simplify]: Extracting #6: cost 20 inf + 0
23.719 * * [simplify]: Extracting #7: cost 56 inf + 0
23.720 * * [simplify]: Extracting #8: cost 90 inf + 0
23.720 * * [simplify]: Extracting #9: cost 71 inf + 1222
23.721 * * [simplify]: Extracting #10: cost 38 inf + 8477
23.724 * * [simplify]: Extracting #11: cost 14 inf + 16892
23.728 * * [simplify]: Extracting #12: cost 9 inf + 20652
23.731 * * [simplify]: Extracting #13: cost 6 inf + 23624
23.736 * * [simplify]: Extracting #14: cost 1 inf + 28934
23.741 * * [simplify]: Extracting #15: cost 0 inf + 30048
23.751 * [simplify]: Simplified to (log (* (cbrt (exp (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))) (* (sin phi2) (sin phi1)))))) (cbrt (exp (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))) (* (sin phi2) (sin phi1))))))))
23.751 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (+ (log (* (cbrt (exp (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))) (* (sin phi2) (sin phi1)))))) (cbrt (exp (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))) (* (sin phi2) (sin phi1)))))))) (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))
23.751 * * * * [progress]: [ 11 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))>
23.752 * [simplify]: Simplifying (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))
23.752 * * [simplify]: iters left: 6 (25 enodes)
23.761 * * [simplify]: iters left: 5 (93 enodes)
23.776 * * [simplify]: iters left: 4 (154 enodes)
23.815 * * [simplify]: iters left: 3 (260 enodes)
23.872 * * [simplify]: iters left: 2 (295 enodes)
23.939 * * [simplify]: Extracting #0: cost 1 inf + 0
23.939 * * [simplify]: Extracting #1: cost 3 inf + 0
23.939 * * [simplify]: Extracting #2: cost 5 inf + 0
23.939 * * [simplify]: Extracting #3: cost 7 inf + 0
23.939 * * [simplify]: Extracting #4: cost 9 inf + 0
23.939 * * [simplify]: Extracting #5: cost 16 inf + 0
23.940 * * [simplify]: Extracting #6: cost 52 inf + 0
23.940 * * [simplify]: Extracting #7: cost 86 inf + 0
23.940 * * [simplify]: Extracting #8: cost 70 inf + 1039
23.942 * * [simplify]: Extracting #9: cost 23 inf + 12675
23.945 * * [simplify]: Extracting #10: cost 8 inf + 18020
23.948 * * [simplify]: Extracting #11: cost 5 inf + 20722
23.952 * * [simplify]: Extracting #12: cost 2 inf + 23574
23.957 * * [simplify]: Extracting #13: cost 0 inf + 25572
23.965 * [simplify]: Simplified to (log (sqrt (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))) (* (sin phi2) (sin phi1)))))))
23.965 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (+ (log (sqrt (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))) (* (sin phi2) (sin phi1))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))
23.965 * * * * [progress]: [ 12 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (log 1) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) R))>
23.966 * [simplify]: Simplifying (log 1)
23.966 * * [simplify]: iters left: 1 (2 enodes)
23.969 * * [simplify]: Extracting #0: cost 1 inf + 0
23.969 * * [simplify]: Extracting #1: cost 0 inf + 1
23.969 * [simplify]: Simplified to 0
23.969 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (+ 0 (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) R))
23.969 * * * * [progress]: [ 13 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (log (exp (/ PI 2))) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) R))>
23.969 * [simplify]: Simplifying (log (exp (/ PI 2)))
23.969 * * [simplify]: iters left: 4 (5 enodes)
23.972 * * [simplify]: iters left: 3 (15 enodes)
23.977 * * [simplify]: iters left: 2 (17 enodes)
23.982 * * [simplify]: Extracting #0: cost 1 inf + 0
23.982 * * [simplify]: Extracting #1: cost 5 inf + 0
23.982 * * [simplify]: Extracting #2: cost 5 inf + 2
23.982 * * [simplify]: Extracting #3: cost 3 inf + 157
23.982 * * [simplify]: Extracting #4: cost 0 inf + 450
23.982 * [simplify]: Simplified to (/ PI 2)
23.982 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) R))
23.983 * * * * [progress]: [ 14 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* 1 (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) R))>
23.983 * * * * [progress]: [ 15 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (log (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))))) R))>
23.983 * [simplify]: Simplifying (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))
23.983 * * [simplify]: iters left: 6 (23 enodes)
23.988 * * [simplify]: iters left: 5 (87 enodes)
24.001 * * [simplify]: iters left: 4 (148 enodes)
24.037 * * [simplify]: iters left: 3 (254 enodes)
24.110 * * [simplify]: iters left: 2 (295 enodes)
24.151 * * [simplify]: Extracting #0: cost 1 inf + 0
24.151 * * [simplify]: Extracting #1: cost 3 inf + 0
24.151 * * [simplify]: Extracting #2: cost 5 inf + 0
24.151 * * [simplify]: Extracting #3: cost 12 inf + 0
24.151 * * [simplify]: Extracting #4: cost 48 inf + 0
24.151 * * [simplify]: Extracting #5: cost 82 inf + 0
24.152 * * [simplify]: Extracting #6: cost 61 inf + 1950
24.153 * * [simplify]: Extracting #7: cost 23 inf + 10421
24.156 * * [simplify]: Extracting #8: cost 5 inf + 17557
24.159 * * [simplify]: Extracting #9: cost 2 inf + 19808
24.163 * * [simplify]: Extracting #10: cost 0 inf + 21596
24.166 * [simplify]: Simplified to (cbrt (acos (+ (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (cos phi1)) (* (sin phi2) (sin phi1)))))
24.166 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (cos phi1)) (* (sin phi2) (sin phi1))))) (log (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))))) R))
24.167 * * * * [progress]: [ 16 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (log (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))>
24.167 * [simplify]: Simplifying (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))
24.167 * * [simplify]: iters left: 6 (23 enodes)
24.172 * * [simplify]: iters left: 5 (87 enodes)
24.185 * * [simplify]: iters left: 4 (148 enodes)
24.224 * * [simplify]: iters left: 3 (254 enodes)
24.272 * * [simplify]: iters left: 2 (295 enodes)
24.322 * * [simplify]: Extracting #0: cost 1 inf + 0
24.322 * * [simplify]: Extracting #1: cost 3 inf + 0
24.322 * * [simplify]: Extracting #2: cost 5 inf + 0
24.322 * * [simplify]: Extracting #3: cost 12 inf + 0
24.322 * * [simplify]: Extracting #4: cost 48 inf + 0
24.323 * * [simplify]: Extracting #5: cost 82 inf + 0
24.324 * * [simplify]: Extracting #6: cost 61 inf + 1950
24.327 * * [simplify]: Extracting #7: cost 23 inf + 10421
24.332 * * [simplify]: Extracting #8: cost 5 inf + 17557
24.339 * * [simplify]: Extracting #9: cost 2 inf + 19768
24.346 * * [simplify]: Extracting #10: cost 0 inf + 21516
24.353 * [simplify]: Simplified to (sqrt (acos (+ (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (cos phi1)) (* (sin phi2) (sin phi1)))))
24.353 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (cos phi1)) (* (sin phi2) (sin phi1))))) (log (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))
24.353 * * * * [progress]: [ 17 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (log (exp 1))) R))>
24.354 * [simplify]: Simplifying (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))
24.354 * * [simplify]: iters left: 6 (22 enodes)
24.364 * * [simplify]: iters left: 5 (84 enodes)
24.391 * * [simplify]: iters left: 4 (145 enodes)
24.445 * * [simplify]: iters left: 3 (252 enodes)
24.526 * * [simplify]: iters left: 2 (294 enodes)
24.605 * * [simplify]: Extracting #0: cost 1 inf + 0
24.605 * * [simplify]: Extracting #1: cost 3 inf + 0
24.605 * * [simplify]: Extracting #2: cost 10 inf + 0
24.605 * * [simplify]: Extracting #3: cost 46 inf + 0
24.606 * * [simplify]: Extracting #4: cost 80 inf + 0
24.606 * * [simplify]: Extracting #5: cost 67 inf + 755
24.609 * * [simplify]: Extracting #6: cost 28 inf + 8178
24.614 * * [simplify]: Extracting #7: cost 4 inf + 17294
24.621 * * [simplify]: Extracting #8: cost 0 inf + 19728
24.628 * [simplify]: Simplified to (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi2) (sin phi1))))
24.628 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi2) (sin phi1)))) (log (exp 1))) R))
24.628 * * * * [progress]: [ 18 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (pow (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) 1) R))>
24.628 * * * * [progress]: [ 19 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
24.628 * [simplify]: Simplifying (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))
24.628 * * [simplify]: iters left: 6 (21 enodes)
24.632 * * [simplify]: iters left: 5 (81 enodes)
24.645 * * [simplify]: iters left: 4 (142 enodes)
24.675 * * [simplify]: iters left: 3 (246 enodes)
24.726 * * [simplify]: iters left: 2 (290 enodes)
24.805 * * [simplify]: Extracting #0: cost 1 inf + 0
24.806 * * [simplify]: Extracting #1: cost 8 inf + 0
24.806 * * [simplify]: Extracting #2: cost 44 inf + 0
24.806 * * [simplify]: Extracting #3: cost 78 inf + 0
24.807 * * [simplify]: Extracting #4: cost 56 inf + 1910
24.810 * * [simplify]: Extracting #5: cost 18 inf + 10762
24.816 * * [simplify]: Extracting #6: cost 1 inf + 17256
24.823 * * [simplify]: Extracting #7: cost 0 inf + 18020
24.829 * [simplify]: Simplified to (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi2) (sin phi1)))
24.830 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi2) (sin phi1)))) R))
24.830 * * * * [progress]: [ 20 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))>
24.830 * * * * [progress]: [ 21 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))>
24.830 * * * * [progress]: [ 22 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))>
24.830 * * * * [progress]: [ 23 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))>
24.830 * * * * [progress]: [ 24 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))>
24.830 * * * * [progress]: [ 25 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* 1 (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) R))>
24.830 * * * * [progress]: [ 26 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (posit16->real (real->posit16 (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))>
24.830 * * * * [progress]: [ 27 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) 1)) R))>
24.830 * * * * [progress]: [ 28 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) R))>
24.831 * [simplify]: Simplifying (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))
24.831 * * [simplify]: iters left: 6 (25 enodes)
24.842 * * [simplify]: iters left: 5 (95 enodes)
24.872 * * [simplify]: iters left: 4 (162 enodes)
24.916 * * [simplify]: iters left: 3 (278 enodes)
25.010 * * [simplify]: iters left: 2 (342 enodes)
25.110 * * [simplify]: iters left: 1 (398 enodes)
25.180 * * [simplify]: Extracting #0: cost 1 inf + 0
25.180 * * [simplify]: Extracting #1: cost 14 inf + 0
25.181 * * [simplify]: Extracting #2: cost 54 inf + 1
25.181 * * [simplify]: Extracting #3: cost 70 inf + 4
25.181 * * [simplify]: Extracting #4: cost 78 inf + 5
25.182 * * [simplify]: Extracting #5: cost 114 inf + 5
25.183 * * [simplify]: Extracting #6: cost 148 inf + 5
25.184 * * [simplify]: Extracting #7: cost 138 inf + 476
25.187 * * [simplify]: Extracting #8: cost 94 inf + 11018
25.195 * * [simplify]: Extracting #9: cost 65 inf + 23597
25.212 * * [simplify]: Extracting #10: cost 40 inf + 48557
25.238 * * [simplify]: Extracting #11: cost 17 inf + 77954
25.271 * * [simplify]: Extracting #12: cost 0 inf + 104824
25.305 * [simplify]: Simplified to (exp (* (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi2) (sin phi1)))))))
25.305 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (* (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi2) (sin phi1))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) R))
25.305 * * * * [progress]: [ 29 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) R))>
25.306 * [simplify]: Simplifying (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))
25.306 * * [simplify]: iters left: 6 (24 enodes)
25.316 * * [simplify]: iters left: 5 (90 enodes)
25.344 * * [simplify]: iters left: 4 (151 enodes)
25.380 * * [simplify]: iters left: 3 (256 enodes)
25.456 * * [simplify]: iters left: 2 (298 enodes)
25.539 * * [simplify]: Extracting #0: cost 1 inf + 0
25.539 * * [simplify]: Extracting #1: cost 3 inf + 0
25.539 * * [simplify]: Extracting #2: cost 5 inf + 0
25.539 * * [simplify]: Extracting #3: cost 7 inf + 0
25.539 * * [simplify]: Extracting #4: cost 14 inf + 0
25.539 * * [simplify]: Extracting #5: cost 50 inf + 0
25.540 * * [simplify]: Extracting #6: cost 84 inf + 0
25.540 * * [simplify]: Extracting #7: cost 65 inf + 1323
25.543 * * [simplify]: Extracting #8: cost 22 inf + 11690
25.546 * * [simplify]: Extracting #9: cost 7 inf + 17757
25.550 * * [simplify]: Extracting #10: cost 3 inf + 20622
25.553 * * [simplify]: Extracting #11: cost 1 inf + 22480
25.557 * * [simplify]: Extracting #12: cost 0 inf + 23444
25.561 * [simplify]: Simplified to (exp (sqrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))))
25.561 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (sqrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) R))
25.561 * * * * [progress]: [ 30 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp 1) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))>
25.561 * [simplify]: Simplifying (exp 1)
25.561 * * [simplify]: iters left: 1 (2 enodes)
25.562 * * [simplify]: Extracting #0: cost 1 inf + 0
25.562 * * [simplify]: Extracting #1: cost 0 inf + 1
25.562 * [simplify]: Simplified to E
25.563 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow E (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))
25.563 * * * * [progress]: [ 31 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (/ (exp (/ PI 2)) (exp (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) R))>
25.563 * [simplify]: Simplifying (exp (/ PI 2))
25.563 * * [simplify]: iters left: 3 (4 enodes)
25.564 * * [simplify]: iters left: 2 (14 enodes)
25.566 * * [simplify]: iters left: 1 (16 enodes)
25.569 * * [simplify]: Extracting #0: cost 1 inf + 0
25.569 * * [simplify]: Extracting #1: cost 4 inf + 0
25.569 * * [simplify]: Extracting #2: cost 8 inf + 0
25.569 * * [simplify]: Extracting #3: cost 6 inf + 2
25.569 * * [simplify]: Extracting #4: cost 0 inf + 452
25.569 * * [simplify]: Extracting #5: cost 0 inf + 450
25.569 * [simplify]: Simplified to (sqrt (exp PI))
25.569 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) R))
25.570 * * * * [progress]: [ 32 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))>
25.570 * [simplify]: Simplifying (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))
25.570 * * [simplify]: iters left: 6 (22 enodes)
25.575 * * [simplify]: iters left: 5 (84 enodes)
25.589 * * [simplify]: iters left: 4 (145 enodes)
25.623 * * [simplify]: iters left: 3 (252 enodes)
25.686 * * [simplify]: iters left: 2 (294 enodes)
25.752 * * [simplify]: Extracting #0: cost 1 inf + 0
25.752 * * [simplify]: Extracting #1: cost 3 inf + 0
25.753 * * [simplify]: Extracting #2: cost 10 inf + 0
25.753 * * [simplify]: Extracting #3: cost 46 inf + 0
25.753 * * [simplify]: Extracting #4: cost 80 inf + 0
25.754 * * [simplify]: Extracting #5: cost 67 inf + 755
25.756 * * [simplify]: Extracting #6: cost 28 inf + 8178
25.761 * * [simplify]: Extracting #7: cost 4 inf + 17294
25.768 * * [simplify]: Extracting #8: cost 0 inf + 19728
25.775 * [simplify]: Simplified to (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi2) (sin phi1))))
25.776 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi2) (sin phi1)))))) R))
25.776 * * * * [progress]: [ 33 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))>
25.776 * * * * [progress]: [ 34 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (log (exp (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))>
25.776 * * * * [progress]: [ 35 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))>
25.776 * * * * [progress]: [ 36 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (cbrt (* (* (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))>
25.776 * * * * [progress]: [ 37 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))>
25.776 * * * * [progress]: [ 38 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* 1 (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) R))>
25.776 * * * * [progress]: [ 39 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (posit16->real (real->posit16 (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))>
25.776 * * * * [progress]: [ 40 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R) 1))>
25.777 * [simplify]: Simplifying (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R)
25.777 * * [simplify]: iters left: 6 (26 enodes)
25.789 * * [simplify]: iters left: 5 (95 enodes)
25.821 * * [simplify]: iters left: 4 (156 enodes)
25.878 * * [simplify]: iters left: 3 (261 enodes)
25.934 * * [simplify]: iters left: 2 (302 enodes)
25.984 * * [simplify]: Extracting #0: cost 1 inf + 0
25.984 * * [simplify]: Extracting #1: cost 4 inf + 0
25.984 * * [simplify]: Extracting #2: cost 6 inf + 1
25.984 * * [simplify]: Extracting #3: cost 14 inf + 1
25.984 * * [simplify]: Extracting #4: cost 50 inf + 1
25.985 * * [simplify]: Extracting #5: cost 84 inf + 1
25.985 * * [simplify]: Extracting #6: cost 67 inf + 1202
25.988 * * [simplify]: Extracting #7: cost 27 inf + 9995
25.993 * * [simplify]: Extracting #8: cost 3 inf + 20694
25.996 * * [simplify]: Extracting #9: cost 0 inf + 23367
26.000 * [simplify]: Simplified to (* R (acos (+ (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (cos phi1)) (* (sin phi2) (sin phi1)))))
26.000 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (pow (* R (acos (+ (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (cos phi1)) (* (sin phi2) (sin phi1))))) 1))
26.000 * * * * [progress]: [ 41 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R) 1))>
26.001 * * * * [progress]: [ 42 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (log R))))>
26.001 * [simplify]: Simplifying (+ (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (log R))
26.001 * * [simplify]: iters left: 6 (28 enodes)
26.007 * * [simplify]: iters left: 5 (101 enodes)
26.024 * * [simplify]: iters left: 4 (162 enodes)
26.068 * * [simplify]: iters left: 3 (267 enodes)
26.143 * * [simplify]: iters left: 2 (314 enodes)
26.231 * * [simplify]: Extracting #0: cost 1 inf + 0
26.231 * * [simplify]: Extracting #1: cost 4 inf + 0
26.231 * * [simplify]: Extracting #2: cost 8 inf + 0
26.231 * * [simplify]: Extracting #3: cost 9 inf + 72
26.232 * * [simplify]: Extracting #4: cost 16 inf + 143
26.232 * * [simplify]: Extracting #5: cost 52 inf + 143
26.232 * * [simplify]: Extracting #6: cost 86 inf + 143
26.233 * * [simplify]: Extracting #7: cost 68 inf + 1506
26.236 * * [simplify]: Extracting #8: cost 34 inf + 7820
26.242 * * [simplify]: Extracting #9: cost 7 inf + 19827
26.249 * * [simplify]: Extracting #10: cost 0 inf + 25637
26.258 * [simplify]: Simplified to (+ (log (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi2) (sin phi1))))) (log R))
26.258 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi2) (sin phi1))))) (log R))))
26.258 * * * * [progress]: [ 43 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))))>
26.258 * * * * [progress]: [ 44 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (log (exp (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))))>
26.258 * * * * [progress]: [ 45 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (* (* R R) R))))>
26.258 * [simplify]: Simplifying (* (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (* (* R R) R))
26.259 * * [simplify]: iters left: 6 (30 enodes)
26.270 * * [simplify]: iters left: 5 (113 enodes)
26.287 * * [simplify]: iters left: 4 (203 enodes)
26.331 * * [simplify]: iters left: 3 (364 enodes)
26.443 * * [simplify]: Extracting #0: cost 1 inf + 0
26.443 * * [simplify]: Extracting #1: cost 28 inf + 0
26.444 * * [simplify]: Extracting #2: cost 55 inf + 2
26.444 * * [simplify]: Extracting #3: cost 59 inf + 378
26.445 * * [simplify]: Extracting #4: cost 94 inf + 884
26.446 * * [simplify]: Extracting #5: cost 128 inf + 884
26.447 * * [simplify]: Extracting #6: cost 117 inf + 1618
26.450 * * [simplify]: Extracting #7: cost 79 inf + 13584
26.468 * * [simplify]: Extracting #8: cost 11 inf + 58313
26.492 * * [simplify]: Extracting #9: cost 0 inf + 67816
26.507 * * [simplify]: Extracting #10: cost 0 inf + 67776
26.520 * [simplify]: Simplified to (* (* (* (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) R) (* (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) R)) (* (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) R))
26.520 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) R) (* (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) R)) (* (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) R))))
26.520 * * * * [progress]: [ 46 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))))>
26.520 * * * * [progress]: [ 47 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))))>
26.520 * * * * [progress]: [ 48 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R)) (sqrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))))>
26.520 * * * * [progress]: [ 49 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R)))>
26.520 * * * * [progress]: [ 50 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (sqrt R)) (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (sqrt R))))>
26.520 * [simplify]: Simplifying (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (sqrt R))
26.520 * * [simplify]: iters left: 6 (28 enodes)
26.526 * * [simplify]: iters left: 5 (101 enodes)
26.540 * * [simplify]: iters left: 4 (162 enodes)
26.593 * * [simplify]: iters left: 3 (267 enodes)
26.658 * * [simplify]: iters left: 2 (314 enodes)
26.724 * * [simplify]: Extracting #0: cost 1 inf + 0
26.724 * * [simplify]: Extracting #1: cost 4 inf + 0
26.724 * * [simplify]: Extracting #2: cost 8 inf + 0
26.724 * * [simplify]: Extracting #3: cost 9 inf + 42
26.724 * * [simplify]: Extracting #4: cost 16 inf + 83
26.724 * * [simplify]: Extracting #5: cost 52 inf + 83
26.725 * * [simplify]: Extracting #6: cost 86 inf + 83
26.725 * * [simplify]: Extracting #7: cost 68 inf + 1446
26.726 * * [simplify]: Extracting #8: cost 34 inf + 7760
26.729 * * [simplify]: Extracting #9: cost 7 inf + 19737
26.733 * * [simplify]: Extracting #10: cost 0 inf + 25397
26.737 * [simplify]: Simplified to (* (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi2) (sin phi1))))) (sqrt R))
26.737 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi2) (sin phi1))))) (sqrt R)) (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (sqrt R))))
26.737 * [simplify]: Simplifying (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (sqrt R))
26.737 * * [simplify]: iters left: 6 (28 enodes)
26.743 * * [simplify]: iters left: 5 (101 enodes)
26.767 * * [simplify]: iters left: 4 (162 enodes)
26.829 * * [simplify]: iters left: 3 (267 enodes)
26.914 * * [simplify]: iters left: 2 (314 enodes)
26.969 * * [simplify]: Extracting #0: cost 1 inf + 0
26.969 * * [simplify]: Extracting #1: cost 4 inf + 0
26.969 * * [simplify]: Extracting #2: cost 8 inf + 0
26.969 * * [simplify]: Extracting #3: cost 9 inf + 42
26.969 * * [simplify]: Extracting #4: cost 16 inf + 83
26.969 * * [simplify]: Extracting #5: cost 52 inf + 83
26.970 * * [simplify]: Extracting #6: cost 86 inf + 83
26.971 * * [simplify]: Extracting #7: cost 68 inf + 1446
26.973 * * [simplify]: Extracting #8: cost 34 inf + 7760
26.979 * * [simplify]: Extracting #9: cost 7 inf + 19737
26.987 * * [simplify]: Extracting #10: cost 0 inf + 25397
26.995 * [simplify]: Simplified to (* (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi2) (sin phi1))))) (sqrt R))
26.995 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (sqrt R)) (* (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi2) (sin phi1))))) (sqrt R))))
26.995 * * * * [progress]: [ 51 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (* (cbrt R) (cbrt R))) (cbrt R)))>
26.995 * [simplify]: Simplifying (cbrt R)
26.995 * * [simplify]: iters left: 1 (2 enodes)
26.996 * * [simplify]: Extracting #0: cost 1 inf + 0
26.996 * * [simplify]: Extracting #1: cost 3 inf + 0
26.996 * * [simplify]: Extracting #2: cost 2 inf + 1
26.997 * * [simplify]: Extracting #3: cost 0 inf + 163
26.997 * [simplify]: Simplified to (cbrt R)
26.997 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (* (cbrt R) (cbrt R))) (cbrt R)))
26.997 * * * * [progress]: [ 52 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (sqrt R)) (sqrt R)))>
26.997 * [simplify]: Simplifying (sqrt R)
26.997 * * [simplify]: iters left: 1 (2 enodes)
26.998 * * [simplify]: Extracting #0: cost 1 inf + 0
26.998 * * [simplify]: Extracting #1: cost 3 inf + 0
26.998 * * [simplify]: Extracting #2: cost 2 inf + 1
26.998 * * [simplify]: Extracting #3: cost 0 inf + 83
26.998 * [simplify]: Simplified to (sqrt R)
26.998 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (sqrt R)) (sqrt R)))
26.999 * * * * [progress]: [ 53 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) 1) R))>
26.999 * * * * [progress]: [ 54 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R)))>
26.999 * * * * [progress]: [ 55 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (* (log (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R)))>
27.000 * [simplify]: Simplifying (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))
27.001 * * [simplify]: iters left: 6 (23 enodes)
27.011 * * [simplify]: iters left: 5 (87 enodes)
27.038 * * [simplify]: iters left: 4 (148 enodes)
27.092 * * [simplify]: iters left: 3 (254 enodes)
27.173 * * [simplify]: iters left: 2 (295 enodes)
27.253 * * [simplify]: Extracting #0: cost 1 inf + 0
27.253 * * [simplify]: Extracting #1: cost 3 inf + 0
27.253 * * [simplify]: Extracting #2: cost 5 inf + 0
27.254 * * [simplify]: Extracting #3: cost 12 inf + 0
27.254 * * [simplify]: Extracting #4: cost 48 inf + 0
27.254 * * [simplify]: Extracting #5: cost 82 inf + 0
27.255 * * [simplify]: Extracting #6: cost 61 inf + 1950
27.258 * * [simplify]: Extracting #7: cost 23 inf + 10421
27.264 * * [simplify]: Extracting #8: cost 5 inf + 17557
27.270 * * [simplify]: Extracting #9: cost 2 inf + 19808
27.277 * * [simplify]: Extracting #10: cost 0 inf + 21596
27.285 * [simplify]: Simplified to (cbrt (acos (+ (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (cos phi1)) (* (sin phi2) (sin phi1)))))
27.285 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (acos (+ (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (cos phi1)) (* (sin phi2) (sin phi1))))) (* (log (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R)))
27.286 * * * * [progress]: [ 56 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (* (log (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) R)))>
27.286 * [simplify]: Simplifying (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))
27.286 * * [simplify]: iters left: 6 (23 enodes)
27.296 * * [simplify]: iters left: 5 (87 enodes)
27.315 * * [simplify]: iters left: 4 (148 enodes)
27.342 * * [simplify]: iters left: 3 (254 enodes)
27.384 * * [simplify]: iters left: 2 (295 enodes)
27.444 * * [simplify]: Extracting #0: cost 1 inf + 0
27.444 * * [simplify]: Extracting #1: cost 3 inf + 0
27.444 * * [simplify]: Extracting #2: cost 5 inf + 0
27.444 * * [simplify]: Extracting #3: cost 12 inf + 0
27.444 * * [simplify]: Extracting #4: cost 48 inf + 0
27.444 * * [simplify]: Extracting #5: cost 82 inf + 0
27.444 * * [simplify]: Extracting #6: cost 61 inf + 1950
27.446 * * [simplify]: Extracting #7: cost 23 inf + 10421
27.449 * * [simplify]: Extracting #8: cost 5 inf + 17557
27.453 * * [simplify]: Extracting #9: cost 2 inf + 19768
27.459 * * [simplify]: Extracting #10: cost 0 inf + 21516
27.465 * [simplify]: Simplified to (sqrt (acos (+ (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (cos phi1)) (* (sin phi2) (sin phi1)))))
27.465 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (cos phi1)) (* (sin phi2) (sin phi1))))) (* (log (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) R)))
27.465 * * * * [progress]: [ 57 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (* (log (exp 1)) R)))>
27.466 * [simplify]: Simplifying (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))
27.466 * * [simplify]: iters left: 6 (22 enodes)
27.474 * * [simplify]: iters left: 5 (84 enodes)
27.497 * * [simplify]: iters left: 4 (145 enodes)
27.524 * * [simplify]: iters left: 3 (252 enodes)
27.602 * * [simplify]: iters left: 2 (294 enodes)
27.684 * * [simplify]: Extracting #0: cost 1 inf + 0
27.685 * * [simplify]: Extracting #1: cost 3 inf + 0
27.685 * * [simplify]: Extracting #2: cost 10 inf + 0
27.685 * * [simplify]: Extracting #3: cost 46 inf + 0
27.685 * * [simplify]: Extracting #4: cost 80 inf + 0
27.686 * * [simplify]: Extracting #5: cost 67 inf + 755
27.689 * * [simplify]: Extracting #6: cost 28 inf + 8178
27.693 * * [simplify]: Extracting #7: cost 4 inf + 17294
27.696 * * [simplify]: Extracting #8: cost 0 inf + 19728
27.700 * [simplify]: Simplified to (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi2) (sin phi1))))
27.700 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi2) (sin phi1)))) (* (log (exp 1)) R)))
27.700 * * * * [progress]: [ 58 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) R)))>
27.700 * [simplify]: Simplifying (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))))
27.701 * * [simplify]: iters left: 6 (26 enodes)
27.706 * * [simplify]: iters left: 5 (94 enodes)
27.720 * * [simplify]: iters left: 4 (155 enodes)
27.770 * * [simplify]: iters left: 3 (260 enodes)
27.822 * * [simplify]: iters left: 2 (300 enodes)
27.882 * * [simplify]: Extracting #0: cost 1 inf + 0
27.882 * * [simplify]: Extracting #1: cost 3 inf + 0
27.882 * * [simplify]: Extracting #2: cost 5 inf + 0
27.882 * * [simplify]: Extracting #3: cost 8 inf + 0
27.882 * * [simplify]: Extracting #4: cost 16 inf + 0
27.882 * * [simplify]: Extracting #5: cost 52 inf + 0
27.882 * * [simplify]: Extracting #6: cost 86 inf + 0
27.883 * * [simplify]: Extracting #7: cost 68 inf + 1262
27.884 * * [simplify]: Extracting #8: cost 24 inf + 11911
27.887 * * [simplify]: Extracting #9: cost 5 inf + 21092
27.895 * * [simplify]: Extracting #10: cost 1 inf + 24418
27.901 * * [simplify]: Extracting #11: cost 0 inf + 25392
27.905 * [simplify]: Simplified to (* (cbrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))))
27.905 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))))) (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) R)))
27.905 * * * * [progress]: [ 59 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) R)))>
27.905 * [simplify]: Simplifying (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))
27.905 * * [simplify]: iters left: 6 (25 enodes)
27.910 * * [simplify]: iters left: 5 (91 enodes)
27.923 * * [simplify]: iters left: 4 (152 enodes)
27.974 * * [simplify]: iters left: 3 (256 enodes)
28.058 * * [simplify]: iters left: 2 (296 enodes)
28.105 * * [simplify]: Extracting #0: cost 1 inf + 0
28.105 * * [simplify]: Extracting #1: cost 3 inf + 0
28.105 * * [simplify]: Extracting #2: cost 6 inf + 0
28.105 * * [simplify]: Extracting #3: cost 14 inf + 0
28.105 * * [simplify]: Extracting #4: cost 50 inf + 0
28.105 * * [simplify]: Extracting #5: cost 84 inf + 0
28.105 * * [simplify]: Extracting #6: cost 68 inf + 1039
28.107 * * [simplify]: Extracting #7: cost 25 inf + 10120
28.110 * * [simplify]: Extracting #8: cost 3 inf + 20852
28.114 * * [simplify]: Extracting #9: cost 0 inf + 23364
28.117 * [simplify]: Simplified to (sqrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))))
28.117 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))) (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) R)))
28.118 * * * * [progress]: [ 60 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R)))>
28.118 * * * * [progress]: [ 61 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (posit16->real (real->posit16 (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))))>
28.118 * * * * [progress]: [ 62 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))))>
28.118 * * * * [progress]: [ 63 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))) R))>
28.118 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
28.118 * * [simplify]: iters left: 6 (22 enodes)
28.123 * * [simplify]: iters left: 5 (84 enodes)
28.140 * * [simplify]: iters left: 4 (141 enodes)
28.190 * * [simplify]: iters left: 3 (241 enodes)
28.257 * * [simplify]: iters left: 2 (280 enodes)
28.308 * * [simplify]: Extracting #0: cost 1 inf + 0
28.309 * * [simplify]: Extracting #1: cost 3 inf + 0
28.309 * * [simplify]: Extracting #2: cost 10 inf + 0
28.309 * * [simplify]: Extracting #3: cost 46 inf + 0
28.309 * * [simplify]: Extracting #4: cost 80 inf + 0
28.310 * * [simplify]: Extracting #5: cost 63 inf + 1504
28.313 * * [simplify]: Extracting #6: cost 22 inf + 9796
28.318 * * [simplify]: Extracting #7: cost 5 inf + 17031
28.325 * * [simplify]: Extracting #8: cost 0 inf + 19888
28.332 * * [simplify]: Extracting #9: cost 0 inf + 19728
28.338 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))
28.338 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))))) R))
28.339 * * * * [progress]: [ 64 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))) R))>
28.339 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
28.339 * * [simplify]: iters left: 6 (22 enodes)
28.349 * * [simplify]: iters left: 5 (84 enodes)
28.370 * * [simplify]: iters left: 4 (141 enodes)
28.396 * * [simplify]: iters left: 3 (241 enodes)
28.447 * * [simplify]: iters left: 2 (280 enodes)
28.489 * * [simplify]: Extracting #0: cost 1 inf + 0
28.489 * * [simplify]: Extracting #1: cost 3 inf + 0
28.489 * * [simplify]: Extracting #2: cost 10 inf + 0
28.490 * * [simplify]: Extracting #3: cost 46 inf + 0
28.490 * * [simplify]: Extracting #4: cost 80 inf + 0
28.491 * * [simplify]: Extracting #5: cost 58 inf + 2112
28.494 * * [simplify]: Extracting #6: cost 20 inf + 10221
28.500 * * [simplify]: Extracting #7: cost 2 inf + 18300
28.506 * * [simplify]: Extracting #8: cost 0 inf + 19888
28.513 * * [simplify]: Extracting #9: cost 0 inf + 19728
28.521 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))
28.521 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))))) R))
28.521 * * * * [progress]: [ 65 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) R))>
28.521 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
28.522 * * [simplify]: iters left: 6 (22 enodes)
28.532 * * [simplify]: iters left: 5 (84 enodes)
28.559 * * [simplify]: iters left: 4 (141 enodes)
28.611 * * [simplify]: iters left: 3 (241 enodes)
28.689 * * [simplify]: iters left: 2 (280 enodes)
28.764 * * [simplify]: Extracting #0: cost 1 inf + 0
28.764 * * [simplify]: Extracting #1: cost 3 inf + 0
28.764 * * [simplify]: Extracting #2: cost 10 inf + 0
28.764 * * [simplify]: Extracting #3: cost 46 inf + 0
28.764 * * [simplify]: Extracting #4: cost 80 inf + 0
28.765 * * [simplify]: Extracting #5: cost 63 inf + 1504
28.769 * * [simplify]: Extracting #6: cost 22 inf + 9796
28.775 * * [simplify]: Extracting #7: cost 5 inf + 17031
28.783 * * [simplify]: Extracting #8: cost 0 inf + 19888
28.789 * * [simplify]: Extracting #9: cost 0 inf + 19728
28.796 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))
28.796 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) R))
28.796 * * * * [progress]: [ 66 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) R))>
28.797 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
28.797 * * [simplify]: iters left: 6 (22 enodes)
28.807 * * [simplify]: iters left: 5 (84 enodes)
28.833 * * [simplify]: iters left: 4 (141 enodes)
28.883 * * [simplify]: iters left: 3 (241 enodes)
28.959 * * [simplify]: iters left: 2 (280 enodes)
29.013 * * [simplify]: Extracting #0: cost 1 inf + 0
29.013 * * [simplify]: Extracting #1: cost 3 inf + 0
29.013 * * [simplify]: Extracting #2: cost 10 inf + 0
29.013 * * [simplify]: Extracting #3: cost 46 inf + 0
29.014 * * [simplify]: Extracting #4: cost 80 inf + 0
29.014 * * [simplify]: Extracting #5: cost 63 inf + 1504
29.018 * * [simplify]: Extracting #6: cost 22 inf + 9796
29.024 * * [simplify]: Extracting #7: cost 5 inf + 17031
29.030 * * [simplify]: Extracting #8: cost 0 inf + 19888
29.037 * * [simplify]: Extracting #9: cost 0 inf + 19728
29.044 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))
29.044 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) R))
29.044 * * * * [progress]: [ 67 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R))>
29.045 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
29.045 * * [simplify]: iters left: 6 (22 enodes)
29.055 * * [simplify]: iters left: 5 (84 enodes)
29.070 * * [simplify]: iters left: 4 (141 enodes)
29.097 * * [simplify]: iters left: 3 (241 enodes)
29.162 * * [simplify]: iters left: 2 (280 enodes)
29.213 * * [simplify]: Extracting #0: cost 1 inf + 0
29.213 * * [simplify]: Extracting #1: cost 3 inf + 0
29.213 * * [simplify]: Extracting #2: cost 10 inf + 0
29.214 * * [simplify]: Extracting #3: cost 46 inf + 0
29.214 * * [simplify]: Extracting #4: cost 80 inf + 0
29.214 * * [simplify]: Extracting #5: cost 58 inf + 2112
29.216 * * [simplify]: Extracting #6: cost 20 inf + 10221
29.219 * * [simplify]: Extracting #7: cost 2 inf + 18300
29.222 * * [simplify]: Extracting #8: cost 0 inf + 19888
29.226 * * [simplify]: Extracting #9: cost 0 inf + 19728
29.229 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))
29.229 * [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))
29.229 * * * * [progress]: [ 68 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R))>
29.229 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
29.229 * * [simplify]: iters left: 6 (22 enodes)
29.234 * * [simplify]: iters left: 5 (84 enodes)
29.246 * * [simplify]: iters left: 4 (141 enodes)
29.285 * * [simplify]: iters left: 3 (241 enodes)
29.336 * * [simplify]: iters left: 2 (280 enodes)
29.395 * * [simplify]: Extracting #0: cost 1 inf + 0
29.395 * * [simplify]: Extracting #1: cost 3 inf + 0
29.395 * * [simplify]: Extracting #2: cost 10 inf + 0
29.395 * * [simplify]: Extracting #3: cost 46 inf + 0
29.395 * * [simplify]: Extracting #4: cost 80 inf + 0
29.396 * * [simplify]: Extracting #5: cost 63 inf + 1504
29.397 * * [simplify]: Extracting #6: cost 22 inf + 9796
29.400 * * [simplify]: Extracting #7: cost 5 inf + 17031
29.404 * * [simplify]: Extracting #8: cost 0 inf + 19888
29.410 * * [simplify]: Extracting #9: cost 0 inf + 19728
29.417 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))
29.417 * [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))
29.417 * * * * [progress]: [ 69 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))) R))>
29.417 * [simplify]: Simplifying (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
29.418 * * [simplify]: iters left: 6 (23 enodes)
29.428 * * [simplify]: iters left: 5 (87 enodes)
29.451 * * [simplify]: iters left: 4 (144 enodes)
29.478 * * [simplify]: iters left: 3 (245 enodes)
29.558 * * [simplify]: iters left: 2 (290 enodes)
30.066 * * [simplify]: Extracting #0: cost 1 inf + 0
30.066 * * [simplify]: Extracting #1: cost 3 inf + 0
30.066 * * [simplify]: Extracting #2: cost 5 inf + 0
30.066 * * [simplify]: Extracting #3: cost 12 inf + 0
30.066 * * [simplify]: Extracting #4: cost 48 inf + 0
30.066 * * [simplify]: Extracting #5: cost 82 inf + 0
30.067 * * [simplify]: Extracting #6: cost 68 inf + 917
30.068 * * [simplify]: Extracting #7: cost 37 inf + 6545
30.070 * * [simplify]: Extracting #8: cost 6 inf + 17113
30.074 * * [simplify]: Extracting #9: cost 2 inf + 19838
30.077 * * [simplify]: Extracting #10: cost 0 inf + 21576
30.081 * [simplify]: Simplified to (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi1) (sin phi2)))))
30.081 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi1) (sin phi2)))))) R))
30.081 * * * * [progress]: [ 70 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))) R))>
30.081 * [simplify]: Simplifying (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))
30.081 * * [simplify]: iters left: 6 (23 enodes)
30.086 * * [simplify]: iters left: 5 (87 enodes)
30.100 * * [simplify]: iters left: 4 (144 enodes)
30.159 * * [simplify]: iters left: 3 (245 enodes)
30.216 * * [simplify]: iters left: 2 (290 enodes)
30.281 * * [simplify]: Extracting #0: cost 1 inf + 0
30.281 * * [simplify]: Extracting #1: cost 3 inf + 0
30.281 * * [simplify]: Extracting #2: cost 5 inf + 0
30.281 * * [simplify]: Extracting #3: cost 12 inf + 0
30.281 * * [simplify]: Extracting #4: cost 48 inf + 0
30.282 * * [simplify]: Extracting #5: cost 82 inf + 0
30.282 * * [simplify]: Extracting #6: cost 65 inf + 1201
30.284 * * [simplify]: Extracting #7: cost 32 inf + 7557
30.289 * * [simplify]: Extracting #8: cost 6 inf + 17113
30.295 * * [simplify]: Extracting #9: cost 2 inf + 19838
30.301 * * [simplify]: Extracting #10: cost 0 inf + 21576
30.307 * [simplify]: Simplified to (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi1) (sin phi2)))))
30.307 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi1) (sin phi2)))))) R))
30.308 * * * * [progress]: [ 71 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) R))>
30.308 * [simplify]: Simplifying (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
30.308 * * [simplify]: iters left: 6 (23 enodes)
30.317 * * [simplify]: iters left: 5 (87 enodes)
30.330 * * [simplify]: iters left: 4 (144 enodes)
30.356 * * [simplify]: iters left: 3 (245 enodes)
30.433 * * [simplify]: iters left: 2 (290 enodes)
30.510 * * [simplify]: Extracting #0: cost 1 inf + 0
30.510 * * [simplify]: Extracting #1: cost 3 inf + 0
30.511 * * [simplify]: Extracting #2: cost 5 inf + 0
30.511 * * [simplify]: Extracting #3: cost 12 inf + 0
30.511 * * [simplify]: Extracting #4: cost 48 inf + 0
30.511 * * [simplify]: Extracting #5: cost 82 inf + 0
30.512 * * [simplify]: Extracting #6: cost 68 inf + 917
30.514 * * [simplify]: Extracting #7: cost 37 inf + 6545
30.519 * * [simplify]: Extracting #8: cost 6 inf + 17113
30.525 * * [simplify]: Extracting #9: cost 2 inf + 19838
30.528 * * [simplify]: Extracting #10: cost 0 inf + 21576
30.532 * [simplify]: Simplified to (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
30.532 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) R))
30.532 * * * * [progress]: [ 72 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))))>
30.532 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
30.532 * * [simplify]: iters left: 6 (24 enodes)
30.537 * * [simplify]: iters left: 5 (91 enodes)
30.558 * * [simplify]: iters left: 4 (148 enodes)
30.603 * * [simplify]: iters left: 3 (248 enodes)
30.681 * * [simplify]: iters left: 2 (295 enodes)
30.734 * * [simplify]: Extracting #0: cost 1 inf + 0
30.734 * * [simplify]: Extracting #1: cost 4 inf + 0
30.734 * * [simplify]: Extracting #2: cost 5 inf + 1
30.734 * * [simplify]: Extracting #3: cost 12 inf + 1
30.735 * * [simplify]: Extracting #4: cost 48 inf + 1
30.735 * * [simplify]: Extracting #5: cost 82 inf + 1
30.735 * * [simplify]: Extracting #6: cost 71 inf + 634
30.737 * * [simplify]: Extracting #7: cost 31 inf + 8806
30.742 * * [simplify]: Extracting #8: cost 5 inf + 18631
30.748 * * [simplify]: Extracting #9: cost 1 inf + 20704
30.754 * * [simplify]: Extracting #10: cost 0 inf + 21559
30.761 * * [simplify]: Extracting #11: cost 0 inf + 21519
30.768 * [simplify]: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))) (cos phi2))))))
30.768 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))) (cos phi2)))))))
30.768 * * * * [progress]: [ 73 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R))>
30.768 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R)
30.768 * * [simplify]: iters left: 6 (24 enodes)
30.777 * * [simplify]: iters left: 5 (91 enodes)
30.799 * * [simplify]: iters left: 4 (148 enodes)
30.824 * * [simplify]: iters left: 3 (248 enodes)
30.893 * * [simplify]: iters left: 2 (292 enodes)
30.957 * * [simplify]: Extracting #0: cost 1 inf + 0
30.957 * * [simplify]: Extracting #1: cost 4 inf + 0
30.957 * * [simplify]: Extracting #2: cost 5 inf + 1
30.957 * * [simplify]: Extracting #3: cost 12 inf + 1
30.957 * * [simplify]: Extracting #4: cost 48 inf + 1
30.957 * * [simplify]: Extracting #5: cost 82 inf + 1
30.958 * * [simplify]: Extracting #6: cost 61 inf + 2052
30.959 * * [simplify]: Extracting #7: cost 23 inf + 9919
30.962 * * [simplify]: Extracting #8: cost 4 inf + 18021
30.965 * * [simplify]: Extracting #9: cost 1 inf + 20624
30.971 * * [simplify]: Extracting #10: cost 0 inf + 21519
30.978 * [simplify]: Simplified to (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R)
30.978 * [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))
30.978 * * * * [progress]: [ 74 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))>
30.978 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
30.979 * * [simplify]: iters left: 6 (24 enodes)
30.989 * * [simplify]: iters left: 5 (91 enodes)
31.017 * * [simplify]: iters left: 4 (148 enodes)
31.046 * * [simplify]: iters left: 3 (248 enodes)
31.091 * * [simplify]: iters left: 2 (295 enodes)
31.129 * * [simplify]: Extracting #0: cost 1 inf + 0
31.129 * * [simplify]: Extracting #1: cost 4 inf + 0
31.129 * * [simplify]: Extracting #2: cost 5 inf + 1
31.129 * * [simplify]: Extracting #3: cost 12 inf + 1
31.129 * * [simplify]: Extracting #4: cost 48 inf + 1
31.129 * * [simplify]: Extracting #5: cost 82 inf + 1
31.130 * * [simplify]: Extracting #6: cost 71 inf + 634
31.131 * * [simplify]: Extracting #7: cost 31 inf + 8806
31.134 * * [simplify]: Extracting #8: cost 5 inf + 18631
31.137 * * [simplify]: Extracting #9: cost 1 inf + 20704
31.142 * * [simplify]: Extracting #10: cost 0 inf + 21559
31.149 * * [simplify]: Extracting #11: cost 0 inf + 21519
31.157 * [simplify]: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))
31.157 * [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)))))))
31.157 * * * [progress]: adding candidates to table
33.027 * [progress]: [Phase 3 of 3] Extracting.
33.027 * * [regime]: Finding splitpoints for: (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2)))) (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (log (exp (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (cbrt (* (* (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2)))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))))> #<alt (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))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (posit16->real (real->posit16 (* (sin phi1) (sin phi2)))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (posit16->real (real->posit16 (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (cbrt (* (* (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (* (cbrt R) (cbrt R))) (cbrt R)))>)
33.046 * * * [regime-changes]: Trying 10 branch expressions: (R lambda2 lambda1 (- lambda1 lambda2) (cos (- lambda1 lambda2)) phi2 phi1 (+ (* (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))
33.046 * * * * [regimes]: Trying to branch on R from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2)))) (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (log (exp (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (cbrt (* (* (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2)))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))))> #<alt (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))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (posit16->real (real->posit16 (* (sin phi1) (sin phi2)))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (posit16->real (real->posit16 (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (cbrt (* (* (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (* (cbrt R) (cbrt R))) (cbrt R)))>)
33.349 * * * * [regimes]: Trying to branch on lambda2 from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2)))) (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (log (exp (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (cbrt (* (* (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2)))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))))> #<alt (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))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (posit16->real (real->posit16 (* (sin phi1) (sin phi2)))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (posit16->real (real->posit16 (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (cbrt (* (* (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (* (cbrt R) (cbrt R))) (cbrt R)))>)
33.634 * * * * [regimes]: Trying to branch on lambda1 from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2)))) (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (log (exp (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (cbrt (* (* (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2)))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))))> #<alt (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))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (posit16->real (real->posit16 (* (sin phi1) (sin phi2)))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (posit16->real (real->posit16 (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (cbrt (* (* (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (* (cbrt R) (cbrt R))) (cbrt R)))>)
33.940 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2)))) (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (log (exp (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (cbrt (* (* (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2)))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))))> #<alt (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))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (posit16->real (real->posit16 (* (sin phi1) (sin phi2)))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (posit16->real (real->posit16 (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (cbrt (* (* (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (* (cbrt R) (cbrt R))) (cbrt R)))>)
34.252 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (#<alt (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))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))>)
34.331 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2)))) (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (log (exp (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (cbrt (* (* (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2)))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))))> #<alt (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))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (posit16->real (real->posit16 (* (sin phi1) (sin phi2)))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (posit16->real (real->posit16 (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (cbrt (* (* (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (* (cbrt R) (cbrt R))) (cbrt R)))>)
34.609 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (#<alt (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))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))>)
34.659 * * * * [regimes]: Trying to branch on phi2 from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2)))) (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (log (exp (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (cbrt (* (* (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2)))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))))> #<alt (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))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (posit16->real (real->posit16 (* (sin phi1) (sin phi2)))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (posit16->real (real->posit16 (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (cbrt (* (* (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (* (cbrt R) (cbrt R))) (cbrt R)))>)
35.003 * * * * [regimes]: Trying to branch on phi1 from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2)))) (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (log (exp (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (cbrt (* (* (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2)))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))))> #<alt (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))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (posit16->real (real->posit16 (* (sin phi1) (sin phi2)))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (posit16->real (real->posit16 (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (cbrt (* (* (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (* (cbrt R) (cbrt R))) (cbrt R)))>)
35.302 * * * * [regimes]: Trying to branch on (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2)))) (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (log (exp (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (cbrt (* (* (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2)))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))))> #<alt (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))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (posit16->real (real->posit16 (* (sin phi1) (sin phi2)))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (posit16->real (real->posit16 (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (cbrt (* (* (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (* (cbrt R) (cbrt R))) (cbrt R)))>)
35.637 * * * * [regimes]: Trying to branch on (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2)))) (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (log (exp (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (cbrt (* (* (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2)))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))))> #<alt (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))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (posit16->real (real->posit16 (* (sin phi1) (sin phi2)))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (posit16->real (real->posit16 (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (cbrt (* (* (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (* (cbrt R) (cbrt R))) (cbrt R)))>)
36.007 * * * * [regimes]: Trying to branch on (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2)))) (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (log (exp (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (cbrt (* (* (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2)))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))))> #<alt (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))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (posit16->real (real->posit16 (* (sin phi1) (sin phi2)))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (posit16->real (real->posit16 (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (cbrt (* (* (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (* (cbrt R) (cbrt R))) (cbrt R)))>)
36.408 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
36.409 * [simplify]: Simplifying (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R)
36.409 * * [simplify]: iters left: 6 (26 enodes)
36.412 * * [simplify]: iters left: 5 (36 enodes)
36.414 * * [simplify]: Extracting #0: cost 1 inf + 0
36.414 * * [simplify]: Extracting #1: cost 3 inf + 0
36.414 * * [simplify]: Extracting #2: cost 3 inf + 1
36.414 * * [simplify]: Extracting #3: cost 4 inf + 1
36.414 * * [simplify]: Extracting #4: cost 5 inf + 1
36.414 * * [simplify]: Extracting #5: cost 7 inf + 1
36.414 * * [simplify]: Extracting #6: cost 11 inf + 1
36.414 * * [simplify]: Extracting #7: cost 17 inf + 1
36.414 * * [simplify]: Extracting #8: cost 17 inf + 125
36.414 * * [simplify]: Extracting #9: cost 19 inf + 247
36.415 * * [simplify]: Extracting #10: cost 13 inf + 695
36.415 * * [simplify]: Extracting #11: cost 9 inf + 1141
36.415 * * [simplify]: Extracting #12: cost 6 inf + 2132
36.416 * * [simplify]: Extracting #13: cost 4 inf + 3620
36.416 * * [simplify]: Extracting #14: cost 3 inf + 4554
36.417 * * [simplify]: Extracting #15: cost 2 inf + 5558
36.418 * * [simplify]: Extracting #16: cost 0 inf + 7747
36.418 * [simplify]: Simplified to (* R (exp (log (acos (+ (+ (* (* (sin lambda2) (sin lambda1)) (* (cos phi2) (cos phi1))) (* (* (* (cos lambda1) (cos lambda2)) (cos phi1)) (cos phi2))) (* (sin phi2) (sin phi1)))))))
66.132 * [regime-testing]: Baseline error score: 3.6616969916589928
66.137 * [regime-testing]: Oracle error score: 3.20714130028331
66.146 * [regime-testing]: End program error score: 3.6616969916589928