0.002 * [progress]: [Phase 1 of 3] Setting up.
0.003 * * * [progress]: [1/2] Preparing points
0.606 * * * [progress]: [2/2] Setting up program.
0.613 * [progress]: [Phase 2 of 3] Improving.
0.613 * * * * [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))>
0.614 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)
0.615 * * [simplify]: iters left: 6 (17 enodes)
0.657 * * [simplify]: iters left: 5 (60 enodes)
0.668 * * [simplify]: iters left: 4 (71 enodes)
0.684 * * [simplify]: iters left: 3 (76 enodes)
0.694 * * [simplify]: Extracting #0: cost 1 inf + 0
0.694 * * [simplify]: Extracting #1: cost 4 inf + 0
0.695 * * [simplify]: Extracting #2: cost 5 inf + 1
0.695 * * [simplify]: Extracting #3: cost 8 inf + 1
0.695 * * [simplify]: Extracting #4: cost 18 inf + 1
0.695 * * [simplify]: Extracting #5: cost 29 inf + 1
0.695 * * [simplify]: Extracting #6: cost 25 inf + 369
0.695 * * [simplify]: Extracting #7: cost 19 inf + 979
0.696 * * [simplify]: Extracting #8: cost 9 inf + 2522
0.696 * * [simplify]: Extracting #9: cost 0 inf + 6397
0.697 * [simplify]: Simplified to (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))
0.698 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))
0.705 * * [progress]: iteration 1 / 4
0.705 * * * [progress]: picking best candidate
0.710 * * * * [pick]: Picked  #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
0.711 * * * [progress]: localizing error
0.795 * * * [progress]: generating rewritten candidates
0.795 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2)
0.807 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
0.809 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
0.820 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1)
0.841 * * * [progress]: generating series expansions
0.842 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2)
0.844 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2))
0.844 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0
0.845 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2
0.845 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2
0.845 * [taylor]: Taking taylor expansion of lambda1 in lambda2
0.845 * [backup-simplify]: Simplify lambda1 into lambda1
0.845 * [taylor]: Taking taylor expansion of lambda2 in lambda2
0.845 * [backup-simplify]: Simplify 0 into 0
0.845 * [backup-simplify]: Simplify 1 into 1
0.846 * [backup-simplify]: Simplify (- 0) into 0
0.846 * [backup-simplify]: Simplify (+ lambda1 0) into lambda1
0.846 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1)
0.846 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1)
0.846 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1
0.846 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1
0.846 * [taylor]: Taking taylor expansion of lambda1 in lambda1
0.846 * [backup-simplify]: Simplify 0 into 0
0.846 * [backup-simplify]: Simplify 1 into 1
0.846 * [taylor]: Taking taylor expansion of lambda2 in lambda1
0.846 * [backup-simplify]: Simplify lambda2 into lambda2
0.846 * [backup-simplify]: Simplify (- lambda2) into (- lambda2)
0.846 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2)
0.847 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2))
0.847 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2))
0.847 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1
0.847 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1
0.847 * [taylor]: Taking taylor expansion of lambda1 in lambda1
0.847 * [backup-simplify]: Simplify 0 into 0
0.847 * [backup-simplify]: Simplify 1 into 1
0.847 * [taylor]: Taking taylor expansion of lambda2 in lambda1
0.847 * [backup-simplify]: Simplify lambda2 into lambda2
0.847 * [backup-simplify]: Simplify (- lambda2) into (- lambda2)
0.847 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2)
0.847 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2))
0.847 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2))
0.849 * [backup-simplify]: Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2))
0.849 * [backup-simplify]: Simplify (* (sin (- lambda2)) 0) into 0
0.849 * [backup-simplify]: Simplify (- 0) into 0
0.849 * [backup-simplify]: Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2))
0.849 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2
0.849 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2
0.849 * [taylor]: Taking taylor expansion of lambda2 in lambda2
0.849 * [backup-simplify]: Simplify 0 into 0
0.849 * [backup-simplify]: Simplify 1 into 1
0.849 * [backup-simplify]: Simplify (- 0) into 0
0.850 * [backup-simplify]: Simplify (- 1) into -1
0.850 * [backup-simplify]: Simplify 1 into 1
0.851 * [backup-simplify]: Simplify (+ 0) into 0
0.851 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (* 0 1)) into 0
0.852 * [backup-simplify]: Simplify (- 0) into 0
0.852 * [backup-simplify]: Simplify (+ 1 0) into 1
0.852 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.853 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 1) (* 0 0)) into (sin (- lambda2))
0.853 * [backup-simplify]: Simplify (- (sin (- lambda2))) into (- (sin (- lambda2)))
0.853 * [backup-simplify]: Simplify (+ 0 (- (sin (- lambda2)))) into (- (sin (- lambda2)))
0.853 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2
0.853 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2
0.853 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2
0.853 * [taylor]: Taking taylor expansion of lambda2 in lambda2
0.853 * [backup-simplify]: Simplify 0 into 0
0.853 * [backup-simplify]: Simplify 1 into 1
0.853 * [backup-simplify]: Simplify (- 0) into 0
0.853 * [backup-simplify]: Simplify (- 1) into -1
0.854 * [backup-simplify]: Simplify (- 0) into 0
0.854 * [backup-simplify]: Simplify 0 into 0
0.854 * [backup-simplify]: Simplify (+ 0) into 0
0.854 * [backup-simplify]: Simplify 0 into 0
0.855 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.855 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (- lambda2))))
0.856 * [backup-simplify]: Simplify (- 0) into 0
0.856 * [backup-simplify]: Simplify (+ 0 0) into 0
0.856 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.857 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 1) (* 0 0))) into 0
0.857 * [backup-simplify]: Simplify (- 0) into 0
0.857 * [backup-simplify]: Simplify (+ (- (* 1/2 (cos (- lambda2)))) 0) into (- (* 1/2 (cos (- lambda2))))
0.857 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2
0.857 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2
0.857 * [taylor]: Taking taylor expansion of 1/2 in lambda2
0.857 * [backup-simplify]: Simplify 1/2 into 1/2
0.857 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2
0.857 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2
0.857 * [taylor]: Taking taylor expansion of lambda2 in lambda2
0.857 * [backup-simplify]: Simplify 0 into 0
0.857 * [backup-simplify]: Simplify 1 into 1
0.858 * [backup-simplify]: Simplify (- 0) into 0
0.858 * [backup-simplify]: Simplify (- 1) into -1
0.858 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
0.859 * [backup-simplify]: Simplify (- 1/2) into -1/2
0.859 * [backup-simplify]: Simplify -1/2 into -1/2
0.859 * [backup-simplify]: Simplify (- 1) into -1
0.859 * [backup-simplify]: Simplify (+ (* 1 (/ (pow -1 1) 1))) into -1
0.860 * [backup-simplify]: Simplify (- -1) into 1
0.860 * [backup-simplify]: Simplify 1 into 1
0.860 * [backup-simplify]: Simplify (+ (* 1 (* lambda2 lambda1)) (+ (* -1/2 (pow (* 1 lambda1) 2)) 1)) into (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2)))
0.861 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
0.861 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0
0.861 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2
0.861 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
0.861 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
0.861 * [taylor]: Taking taylor expansion of lambda1 in lambda2
0.861 * [backup-simplify]: Simplify lambda1 into lambda1
0.861 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
0.861 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
0.861 * [taylor]: Taking taylor expansion of lambda2 in lambda2
0.861 * [backup-simplify]: Simplify 0 into 0
0.861 * [backup-simplify]: Simplify 1 into 1
0.861 * [backup-simplify]: Simplify (/ 1 1) into 1
0.862 * [backup-simplify]: Simplify (- 1) into -1
0.862 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.862 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
0.862 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1
0.862 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
0.862 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
0.862 * [taylor]: Taking taylor expansion of lambda1 in lambda1
0.862 * [backup-simplify]: Simplify 0 into 0
0.863 * [backup-simplify]: Simplify 1 into 1
0.863 * [backup-simplify]: Simplify (/ 1 1) into 1
0.863 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
0.863 * [taylor]: Taking taylor expansion of lambda2 in lambda1
0.863 * [backup-simplify]: Simplify lambda2 into lambda2
0.863 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
0.863 * [backup-simplify]: Simplify (+ 1 0) into 1
0.863 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
0.863 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1
0.863 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
0.863 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
0.863 * [taylor]: Taking taylor expansion of lambda1 in lambda1
0.863 * [backup-simplify]: Simplify 0 into 0
0.863 * [backup-simplify]: Simplify 1 into 1
0.864 * [backup-simplify]: Simplify (/ 1 1) into 1
0.864 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
0.864 * [taylor]: Taking taylor expansion of lambda2 in lambda1
0.864 * [backup-simplify]: Simplify lambda2 into lambda2
0.864 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
0.871 * [backup-simplify]: Simplify (+ 1 0) into 1
0.872 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
0.872 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2
0.872 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
0.872 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
0.872 * [taylor]: Taking taylor expansion of lambda1 in lambda2
0.872 * [backup-simplify]: Simplify lambda1 into lambda1
0.872 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
0.872 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
0.872 * [taylor]: Taking taylor expansion of lambda2 in lambda2
0.872 * [backup-simplify]: Simplify 0 into 0
0.872 * [backup-simplify]: Simplify 1 into 1
0.873 * [backup-simplify]: Simplify (/ 1 1) into 1
0.873 * [backup-simplify]: Simplify (- 1) into -1
0.873 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.873 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
0.873 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
0.873 * [taylor]: Taking taylor expansion of 0 in lambda2
0.873 * [backup-simplify]: Simplify 0 into 0
0.873 * [backup-simplify]: Simplify 0 into 0
0.873 * [backup-simplify]: Simplify 0 into 0
0.873 * [taylor]: Taking taylor expansion of 0 in lambda2
0.873 * [backup-simplify]: Simplify 0 into 0
0.873 * [backup-simplify]: Simplify 0 into 0
0.873 * [backup-simplify]: Simplify 0 into 0
0.873 * [backup-simplify]: Simplify 0 into 0
0.874 * [taylor]: Taking taylor expansion of 0 in lambda2
0.874 * [backup-simplify]: Simplify 0 into 0
0.874 * [backup-simplify]: Simplify 0 into 0
0.874 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) into (cos (- lambda1 lambda2))
0.874 * [backup-simplify]: Simplify (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
0.874 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0
0.874 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2
0.874 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2
0.874 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
0.874 * [taylor]: Taking taylor expansion of lambda2 in lambda2
0.874 * [backup-simplify]: Simplify 0 into 0
0.874 * [backup-simplify]: Simplify 1 into 1
0.874 * [backup-simplify]: Simplify (/ 1 1) into 1
0.874 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
0.874 * [taylor]: Taking taylor expansion of lambda1 in lambda2
0.874 * [backup-simplify]: Simplify lambda1 into lambda1
0.874 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
0.875 * [backup-simplify]: Simplify (+ 1 0) into 1
0.875 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
0.875 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1
0.875 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1
0.875 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
0.875 * [taylor]: Taking taylor expansion of lambda2 in lambda1
0.875 * [backup-simplify]: Simplify lambda2 into lambda2
0.875 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
0.875 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
0.875 * [taylor]: Taking taylor expansion of lambda1 in lambda1
0.875 * [backup-simplify]: Simplify 0 into 0
0.875 * [backup-simplify]: Simplify 1 into 1
0.875 * [backup-simplify]: Simplify (/ 1 1) into 1
0.875 * [backup-simplify]: Simplify (- 1) into -1
0.876 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.876 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
0.876 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1
0.876 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1
0.876 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
0.876 * [taylor]: Taking taylor expansion of lambda2 in lambda1
0.876 * [backup-simplify]: Simplify lambda2 into lambda2
0.876 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
0.876 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
0.876 * [taylor]: Taking taylor expansion of lambda1 in lambda1
0.876 * [backup-simplify]: Simplify 0 into 0
0.876 * [backup-simplify]: Simplify 1 into 1
0.876 * [backup-simplify]: Simplify (/ 1 1) into 1
0.876 * [backup-simplify]: Simplify (- 1) into -1
0.877 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.877 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
0.877 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2
0.877 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2
0.877 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
0.877 * [taylor]: Taking taylor expansion of lambda2 in lambda2
0.877 * [backup-simplify]: Simplify 0 into 0
0.877 * [backup-simplify]: Simplify 1 into 1
0.877 * [backup-simplify]: Simplify (/ 1 1) into 1
0.877 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
0.877 * [taylor]: Taking taylor expansion of lambda1 in lambda2
0.877 * [backup-simplify]: Simplify lambda1 into lambda1
0.877 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
0.878 * [backup-simplify]: Simplify (+ 1 0) into 1
0.878 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
0.878 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
0.878 * [taylor]: Taking taylor expansion of 0 in lambda2
0.878 * [backup-simplify]: Simplify 0 into 0
0.878 * [backup-simplify]: Simplify 0 into 0
0.878 * [backup-simplify]: Simplify 0 into 0
0.878 * [taylor]: Taking taylor expansion of 0 in lambda2
0.878 * [backup-simplify]: Simplify 0 into 0
0.878 * [backup-simplify]: Simplify 0 into 0
0.878 * [backup-simplify]: Simplify 0 into 0
0.878 * [backup-simplify]: Simplify 0 into 0
0.878 * [taylor]: Taking taylor expansion of 0 in lambda2
0.878 * [backup-simplify]: Simplify 0 into 0
0.878 * [backup-simplify]: Simplify 0 into 0
0.878 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))) into (cos (- lambda1 lambda2))
0.878 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
0.878 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.878 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in (phi1 phi2 lambda1 lambda2) around 0
0.878 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2
0.880 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.880 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1
0.880 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.880 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2
0.880 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.880 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1
0.881 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.881 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1
0.881 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.881 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2
0.881 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.881 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1
0.881 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.881 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2
0.881 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.881 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.881 * [taylor]: Taking taylor expansion of 0 in phi2
0.882 * [backup-simplify]: Simplify 0 into 0
0.882 * [taylor]: Taking taylor expansion of 0 in lambda1
0.882 * [backup-simplify]: Simplify 0 into 0
0.882 * [taylor]: Taking taylor expansion of 0 in lambda2
0.882 * [backup-simplify]: Simplify 0 into 0
0.882 * [backup-simplify]: Simplify 0 into 0
0.882 * [taylor]: Taking taylor expansion of 0 in lambda1
0.882 * [backup-simplify]: Simplify 0 into 0
0.882 * [taylor]: Taking taylor expansion of 0 in lambda2
0.882 * [backup-simplify]: Simplify 0 into 0
0.882 * [backup-simplify]: Simplify 0 into 0
0.882 * [taylor]: Taking taylor expansion of 0 in lambda2
0.882 * [backup-simplify]: Simplify 0 into 0
0.882 * [backup-simplify]: Simplify 0 into 0
0.882 * [backup-simplify]: Simplify 0 into 0
0.882 * [taylor]: Taking taylor expansion of 0 in phi2
0.882 * [backup-simplify]: Simplify 0 into 0
0.882 * [taylor]: Taking taylor expansion of 0 in lambda1
0.882 * [backup-simplify]: Simplify 0 into 0
0.882 * [taylor]: Taking taylor expansion of 0 in lambda2
0.882 * [backup-simplify]: Simplify 0 into 0
0.882 * [backup-simplify]: Simplify 0 into 0
0.882 * [taylor]: Taking taylor expansion of 0 in lambda1
0.882 * [backup-simplify]: Simplify 0 into 0
0.882 * [taylor]: Taking taylor expansion of 0 in lambda2
0.882 * [backup-simplify]: Simplify 0 into 0
0.882 * [backup-simplify]: Simplify 0 into 0
0.882 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.882 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.882 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in (phi1 phi2 lambda1 lambda2) around 0
0.882 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda2
0.883 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.883 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda1
0.883 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.883 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi2
0.883 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.883 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi1
0.883 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.883 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi1
0.884 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.884 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi2
0.884 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.884 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda1
0.884 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.884 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda2
0.884 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.885 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.885 * [taylor]: Taking taylor expansion of 0 in phi2
0.885 * [backup-simplify]: Simplify 0 into 0
0.885 * [taylor]: Taking taylor expansion of 0 in lambda1
0.885 * [backup-simplify]: Simplify 0 into 0
0.885 * [taylor]: Taking taylor expansion of 0 in lambda2
0.885 * [backup-simplify]: Simplify 0 into 0
0.885 * [backup-simplify]: Simplify 0 into 0
0.885 * [taylor]: Taking taylor expansion of 0 in lambda1
0.885 * [backup-simplify]: Simplify 0 into 0
0.885 * [taylor]: Taking taylor expansion of 0 in lambda2
0.885 * [backup-simplify]: Simplify 0 into 0
0.885 * [backup-simplify]: Simplify 0 into 0
0.885 * [taylor]: Taking taylor expansion of 0 in lambda2
0.885 * [backup-simplify]: Simplify 0 into 0
0.885 * [backup-simplify]: Simplify 0 into 0
0.885 * [backup-simplify]: Simplify 0 into 0
0.885 * [taylor]: Taking taylor expansion of 0 in phi2
0.885 * [backup-simplify]: Simplify 0 into 0
0.885 * [taylor]: Taking taylor expansion of 0 in lambda1
0.885 * [backup-simplify]: Simplify 0 into 0
0.885 * [taylor]: Taking taylor expansion of 0 in lambda2
0.885 * [backup-simplify]: Simplify 0 into 0
0.885 * [backup-simplify]: Simplify 0 into 0
0.885 * [taylor]: Taking taylor expansion of 0 in lambda1
0.885 * [backup-simplify]: Simplify 0 into 0
0.885 * [taylor]: Taking taylor expansion of 0 in lambda2
0.885 * [backup-simplify]: Simplify 0 into 0
0.885 * [backup-simplify]: Simplify 0 into 0
0.885 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) (cos (/ 1 (/ 1 phi1))))))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.886 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.886 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in (phi1 phi2 lambda1 lambda2) around 0
0.886 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda2
0.886 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.886 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda1
0.886 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.886 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi2
0.886 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.886 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi1
0.887 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.887 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi1
0.887 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.887 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi2
0.887 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.887 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda1
0.887 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.887 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda2
0.888 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.888 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.888 * [taylor]: Taking taylor expansion of 0 in phi2
0.888 * [backup-simplify]: Simplify 0 into 0
0.888 * [taylor]: Taking taylor expansion of 0 in lambda1
0.888 * [backup-simplify]: Simplify 0 into 0
0.888 * [taylor]: Taking taylor expansion of 0 in lambda2
0.888 * [backup-simplify]: Simplify 0 into 0
0.888 * [backup-simplify]: Simplify 0 into 0
0.888 * [taylor]: Taking taylor expansion of 0 in lambda1
0.888 * [backup-simplify]: Simplify 0 into 0
0.888 * [taylor]: Taking taylor expansion of 0 in lambda2
0.888 * [backup-simplify]: Simplify 0 into 0
0.888 * [backup-simplify]: Simplify 0 into 0
0.888 * [taylor]: Taking taylor expansion of 0 in lambda2
0.888 * [backup-simplify]: Simplify 0 into 0
0.888 * [backup-simplify]: Simplify 0 into 0
0.888 * [backup-simplify]: Simplify 0 into 0
0.888 * [taylor]: Taking taylor expansion of 0 in phi2
0.888 * [backup-simplify]: Simplify 0 into 0
0.888 * [taylor]: Taking taylor expansion of 0 in lambda1
0.888 * [backup-simplify]: Simplify 0 into 0
0.888 * [taylor]: Taking taylor expansion of 0 in lambda2
0.888 * [backup-simplify]: Simplify 0 into 0
0.888 * [backup-simplify]: Simplify 0 into 0
0.888 * [taylor]: Taking taylor expansion of 0 in lambda1
0.888 * [backup-simplify]: Simplify 0 into 0
0.888 * [taylor]: Taking taylor expansion of 0 in lambda2
0.888 * [backup-simplify]: Simplify 0 into 0
0.889 * [backup-simplify]: Simplify 0 into 0
0.889 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))))))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.889 * * * * [progress]: [ 3 / 4 ] generating series at (2)
0.889 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
0.889 * [approximate]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
0.889 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in R
0.889 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in R
0.889 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.889 * [taylor]: Taking taylor expansion of R in R
0.889 * [backup-simplify]: Simplify 0 into 0
0.889 * [backup-simplify]: Simplify 1 into 1
0.889 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda2
0.889 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2
0.890 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.890 * [taylor]: Taking taylor expansion of R in lambda2
0.890 * [backup-simplify]: Simplify R into R
0.890 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda1
0.890 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1
0.890 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.890 * [taylor]: Taking taylor expansion of R in lambda1
0.890 * [backup-simplify]: Simplify R into R
0.890 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi2
0.890 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2
0.890 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.890 * [taylor]: Taking taylor expansion of R in phi2
0.890 * [backup-simplify]: Simplify R into R
0.890 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi1
0.890 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1
0.891 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.891 * [taylor]: Taking taylor expansion of R in phi1
0.891 * [backup-simplify]: Simplify R into R
0.891 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi1
0.891 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1
0.891 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.891 * [taylor]: Taking taylor expansion of R in phi1
0.891 * [backup-simplify]: Simplify R into R
0.891 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
0.891 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi2
0.892 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2
0.892 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.892 * [taylor]: Taking taylor expansion of R in phi2
0.892 * [backup-simplify]: Simplify R into R
0.892 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
0.892 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda1
0.892 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1
0.892 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.893 * [taylor]: Taking taylor expansion of R in lambda1
0.893 * [backup-simplify]: Simplify R into R
0.893 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
0.893 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda2
0.893 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2
0.893 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.893 * [taylor]: Taking taylor expansion of R in lambda2
0.893 * [backup-simplify]: Simplify R into R
0.894 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
0.894 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in R
0.894 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in R
0.894 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.894 * [taylor]: Taking taylor expansion of R in R
0.894 * [backup-simplify]: Simplify 0 into 0
0.894 * [backup-simplify]: Simplify 1 into 1
0.894 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) into 0
0.894 * [backup-simplify]: Simplify 0 into 0
0.895 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0
0.895 * [taylor]: Taking taylor expansion of 0 in phi2
0.895 * [backup-simplify]: Simplify 0 into 0
0.895 * [taylor]: Taking taylor expansion of 0 in lambda1
0.895 * [backup-simplify]: Simplify 0 into 0
0.895 * [taylor]: Taking taylor expansion of 0 in lambda2
0.895 * [backup-simplify]: Simplify 0 into 0
0.895 * [taylor]: Taking taylor expansion of 0 in R
0.895 * [backup-simplify]: Simplify 0 into 0
0.895 * [backup-simplify]: Simplify 0 into 0
0.895 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0
0.895 * [taylor]: Taking taylor expansion of 0 in lambda1
0.895 * [backup-simplify]: Simplify 0 into 0
0.895 * [taylor]: Taking taylor expansion of 0 in lambda2
0.895 * [backup-simplify]: Simplify 0 into 0
0.895 * [taylor]: Taking taylor expansion of 0 in R
0.895 * [backup-simplify]: Simplify 0 into 0
0.896 * [backup-simplify]: Simplify 0 into 0
0.896 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0
0.896 * [taylor]: Taking taylor expansion of 0 in lambda2
0.896 * [backup-simplify]: Simplify 0 into 0
0.896 * [taylor]: Taking taylor expansion of 0 in R
0.896 * [backup-simplify]: Simplify 0 into 0
0.896 * [backup-simplify]: Simplify 0 into 0
0.896 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0
0.896 * [taylor]: Taking taylor expansion of 0 in R
0.896 * [backup-simplify]: Simplify 0 into 0
0.896 * [backup-simplify]: Simplify 0 into 0
0.897 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1) (* 0 0)) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.898 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.899 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0
0.899 * [taylor]: Taking taylor expansion of 0 in phi2
0.899 * [backup-simplify]: Simplify 0 into 0
0.899 * [taylor]: Taking taylor expansion of 0 in lambda1
0.899 * [backup-simplify]: Simplify 0 into 0
0.899 * [taylor]: Taking taylor expansion of 0 in lambda2
0.899 * [backup-simplify]: Simplify 0 into 0
0.899 * [taylor]: Taking taylor expansion of 0 in R
0.899 * [backup-simplify]: Simplify 0 into 0
0.899 * [backup-simplify]: Simplify 0 into 0
0.899 * [taylor]: Taking taylor expansion of 0 in lambda1
0.899 * [backup-simplify]: Simplify 0 into 0
0.899 * [taylor]: Taking taylor expansion of 0 in lambda2
0.899 * [backup-simplify]: Simplify 0 into 0
0.899 * [taylor]: Taking taylor expansion of 0 in R
0.899 * [backup-simplify]: Simplify 0 into 0
0.899 * [backup-simplify]: Simplify 0 into 0
0.900 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0
0.900 * [taylor]: Taking taylor expansion of 0 in lambda1
0.900 * [backup-simplify]: Simplify 0 into 0
0.900 * [taylor]: Taking taylor expansion of 0 in lambda2
0.900 * [backup-simplify]: Simplify 0 into 0
0.900 * [taylor]: Taking taylor expansion of 0 in R
0.900 * [backup-simplify]: Simplify 0 into 0
0.900 * [backup-simplify]: Simplify 0 into 0
0.900 * [taylor]: Taking taylor expansion of 0 in lambda2
0.900 * [backup-simplify]: Simplify 0 into 0
0.900 * [taylor]: Taking taylor expansion of 0 in R
0.900 * [backup-simplify]: Simplify 0 into 0
0.900 * [backup-simplify]: Simplify 0 into 0
0.901 * [taylor]: Taking taylor expansion of 0 in lambda2
0.901 * [backup-simplify]: Simplify 0 into 0
0.901 * [taylor]: Taking taylor expansion of 0 in R
0.901 * [backup-simplify]: Simplify 0 into 0
0.901 * [backup-simplify]: Simplify 0 into 0
0.901 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0
0.902 * [taylor]: Taking taylor expansion of 0 in lambda2
0.902 * [backup-simplify]: Simplify 0 into 0
0.902 * [taylor]: Taking taylor expansion of 0 in R
0.902 * [backup-simplify]: Simplify 0 into 0
0.902 * [backup-simplify]: Simplify 0 into 0
0.903 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) (* R (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
0.903 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) (/ 1 R)) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R)
0.903 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
0.903 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in R
0.903 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in R
0.904 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.904 * [taylor]: Taking taylor expansion of R in R
0.904 * [backup-simplify]: Simplify 0 into 0
0.904 * [backup-simplify]: Simplify 1 into 1
0.904 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.904 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in lambda2
0.904 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda2
0.905 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.905 * [taylor]: Taking taylor expansion of R in lambda2
0.905 * [backup-simplify]: Simplify R into R
0.905 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R)
0.905 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in lambda1
0.905 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda1
0.906 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.906 * [taylor]: Taking taylor expansion of R in lambda1
0.906 * [backup-simplify]: Simplify R into R
0.906 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R)
0.906 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in phi2
0.906 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi2
0.907 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.907 * [taylor]: Taking taylor expansion of R in phi2
0.907 * [backup-simplify]: Simplify R into R
0.907 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R)
0.907 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in phi1
0.907 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi1
0.908 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.908 * [taylor]: Taking taylor expansion of R in phi1
0.908 * [backup-simplify]: Simplify R into R
0.908 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R)
0.908 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in phi1
0.908 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi1
0.909 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.909 * [taylor]: Taking taylor expansion of R in phi1
0.909 * [backup-simplify]: Simplify R into R
0.909 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R)
0.910 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in phi2
0.910 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi2
0.910 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.910 * [taylor]: Taking taylor expansion of R in phi2
0.910 * [backup-simplify]: Simplify R into R
0.911 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R)
0.911 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in lambda1
0.911 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda1
0.911 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.911 * [taylor]: Taking taylor expansion of R in lambda1
0.911 * [backup-simplify]: Simplify R into R
0.912 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R)
0.912 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in lambda2
0.912 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda2
0.912 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.913 * [taylor]: Taking taylor expansion of R in lambda2
0.913 * [backup-simplify]: Simplify R into R
0.913 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R)
0.913 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in R
0.913 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in R
0.913 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.914 * [taylor]: Taking taylor expansion of R in R
0.914 * [backup-simplify]: Simplify 0 into 0
0.914 * [backup-simplify]: Simplify 1 into 1
0.914 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.914 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.915 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)))) into 0
0.915 * [taylor]: Taking taylor expansion of 0 in phi2
0.915 * [backup-simplify]: Simplify 0 into 0
0.916 * [taylor]: Taking taylor expansion of 0 in lambda1
0.916 * [backup-simplify]: Simplify 0 into 0
0.916 * [taylor]: Taking taylor expansion of 0 in lambda2
0.916 * [backup-simplify]: Simplify 0 into 0
0.916 * [taylor]: Taking taylor expansion of 0 in R
0.916 * [backup-simplify]: Simplify 0 into 0
0.916 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)))) into 0
0.916 * [taylor]: Taking taylor expansion of 0 in lambda1
0.916 * [backup-simplify]: Simplify 0 into 0
0.916 * [taylor]: Taking taylor expansion of 0 in lambda2
0.916 * [backup-simplify]: Simplify 0 into 0
0.916 * [taylor]: Taking taylor expansion of 0 in R
0.916 * [backup-simplify]: Simplify 0 into 0
0.917 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)))) into 0
0.917 * [taylor]: Taking taylor expansion of 0 in lambda2
0.918 * [backup-simplify]: Simplify 0 into 0
0.918 * [taylor]: Taking taylor expansion of 0 in R
0.918 * [backup-simplify]: Simplify 0 into 0
0.918 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)))) into 0
0.918 * [taylor]: Taking taylor expansion of 0 in R
0.918 * [backup-simplify]: Simplify 0 into 0
0.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) (/ 0 1)))) into 0
0.920 * [backup-simplify]: Simplify 0 into 0
0.921 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
0.921 * [taylor]: Taking taylor expansion of 0 in phi2
0.921 * [backup-simplify]: Simplify 0 into 0
0.921 * [taylor]: Taking taylor expansion of 0 in lambda1
0.921 * [backup-simplify]: Simplify 0 into 0
0.922 * [taylor]: Taking taylor expansion of 0 in lambda2
0.922 * [backup-simplify]: Simplify 0 into 0
0.922 * [taylor]: Taking taylor expansion of 0 in R
0.922 * [backup-simplify]: Simplify 0 into 0
0.922 * [taylor]: Taking taylor expansion of 0 in lambda1
0.922 * [backup-simplify]: Simplify 0 into 0
0.922 * [taylor]: Taking taylor expansion of 0 in lambda2
0.922 * [backup-simplify]: Simplify 0 into 0
0.922 * [taylor]: Taking taylor expansion of 0 in R
0.922 * [backup-simplify]: Simplify 0 into 0
0.923 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
0.923 * [taylor]: Taking taylor expansion of 0 in lambda1
0.923 * [backup-simplify]: Simplify 0 into 0
0.923 * [taylor]: Taking taylor expansion of 0 in lambda2
0.923 * [backup-simplify]: Simplify 0 into 0
0.923 * [taylor]: Taking taylor expansion of 0 in R
0.923 * [backup-simplify]: Simplify 0 into 0
0.923 * [taylor]: Taking taylor expansion of 0 in lambda2
0.923 * [backup-simplify]: Simplify 0 into 0
0.923 * [taylor]: Taking taylor expansion of 0 in R
0.923 * [backup-simplify]: Simplify 0 into 0
0.923 * [taylor]: Taking taylor expansion of 0 in lambda2
0.923 * [backup-simplify]: Simplify 0 into 0
0.923 * [taylor]: Taking taylor expansion of 0 in R
0.923 * [backup-simplify]: Simplify 0 into 0
0.923 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
0.923 * [taylor]: Taking taylor expansion of 0 in lambda2
0.924 * [backup-simplify]: Simplify 0 into 0
0.924 * [taylor]: Taking taylor expansion of 0 in R
0.924 * [backup-simplify]: Simplify 0 into 0
0.924 * [taylor]: Taking taylor expansion of 0 in R
0.924 * [backup-simplify]: Simplify 0 into 0
0.924 * [taylor]: Taking taylor expansion of 0 in R
0.924 * [backup-simplify]: Simplify 0 into 0
0.924 * [taylor]: Taking taylor expansion of 0 in R
0.924 * [backup-simplify]: Simplify 0 into 0
0.924 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
0.924 * [taylor]: Taking taylor expansion of 0 in R
0.924 * [backup-simplify]: Simplify 0 into 0
0.924 * [backup-simplify]: Simplify 0 into 0
0.924 * [backup-simplify]: Simplify 0 into 0
0.924 * [backup-simplify]: Simplify 0 into 0
0.924 * [backup-simplify]: Simplify 0 into 0
0.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.926 * [backup-simplify]: Simplify 0 into 0
0.927 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) (cos (/ 1 (/ 1 phi1))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
0.927 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) (/ 1 (- R))) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))
0.927 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0
0.927 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in R
0.927 * [taylor]: Taking taylor expansion of -1 in R
0.927 * [backup-simplify]: Simplify -1 into -1
0.927 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in R
0.927 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in R
0.927 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.927 * [taylor]: Taking taylor expansion of R in R
0.927 * [backup-simplify]: Simplify 0 into 0
0.927 * [backup-simplify]: Simplify 1 into 1
0.928 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.928 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda2
0.928 * [taylor]: Taking taylor expansion of -1 in lambda2
0.928 * [backup-simplify]: Simplify -1 into -1
0.928 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda2
0.928 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda2
0.928 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.928 * [taylor]: Taking taylor expansion of R in lambda2
0.928 * [backup-simplify]: Simplify R into R
0.928 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)
0.928 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda1
0.928 * [taylor]: Taking taylor expansion of -1 in lambda1
0.928 * [backup-simplify]: Simplify -1 into -1
0.928 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda1
0.928 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda1
0.929 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.929 * [taylor]: Taking taylor expansion of R in lambda1
0.929 * [backup-simplify]: Simplify R into R
0.929 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)
0.929 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi2
0.929 * [taylor]: Taking taylor expansion of -1 in phi2
0.929 * [backup-simplify]: Simplify -1 into -1
0.929 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi2
0.929 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi2
0.929 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.929 * [taylor]: Taking taylor expansion of R in phi2
0.929 * [backup-simplify]: Simplify R into R
0.929 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)
0.929 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi1
0.929 * [taylor]: Taking taylor expansion of -1 in phi1
0.929 * [backup-simplify]: Simplify -1 into -1
0.929 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi1
0.930 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi1
0.930 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.930 * [taylor]: Taking taylor expansion of R in phi1
0.930 * [backup-simplify]: Simplify R into R
0.930 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)
0.930 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi1
0.930 * [taylor]: Taking taylor expansion of -1 in phi1
0.930 * [backup-simplify]: Simplify -1 into -1
0.930 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi1
0.930 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi1
0.930 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.930 * [taylor]: Taking taylor expansion of R in phi1
0.930 * [backup-simplify]: Simplify R into R
0.931 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)
0.931 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))
0.931 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi2
0.931 * [taylor]: Taking taylor expansion of -1 in phi2
0.931 * [backup-simplify]: Simplify -1 into -1
0.931 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi2
0.931 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi2
0.931 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.931 * [taylor]: Taking taylor expansion of R in phi2
0.931 * [backup-simplify]: Simplify R into R
0.932 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)
0.932 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))
0.932 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda1
0.932 * [taylor]: Taking taylor expansion of -1 in lambda1
0.932 * [backup-simplify]: Simplify -1 into -1
0.932 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda1
0.932 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda1
0.932 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.932 * [taylor]: Taking taylor expansion of R in lambda1
0.932 * [backup-simplify]: Simplify R into R
0.932 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)
0.933 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))
0.933 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda2
0.933 * [taylor]: Taking taylor expansion of -1 in lambda2
0.933 * [backup-simplify]: Simplify -1 into -1
0.933 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda2
0.933 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda2
0.933 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.933 * [taylor]: Taking taylor expansion of R in lambda2
0.933 * [backup-simplify]: Simplify R into R
0.933 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)
0.934 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))
0.934 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in R
0.934 * [taylor]: Taking taylor expansion of -1 in R
0.934 * [backup-simplify]: Simplify -1 into -1
0.934 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in R
0.934 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in R
0.934 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.934 * [taylor]: Taking taylor expansion of R in R
0.934 * [backup-simplify]: Simplify 0 into 0
0.934 * [backup-simplify]: Simplify 1 into 1
0.934 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.934 * [backup-simplify]: Simplify (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))) into (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))))
0.935 * [backup-simplify]: Simplify (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))) into (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))))
0.935 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0
0.936 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0
0.936 * [taylor]: Taking taylor expansion of 0 in phi2
0.936 * [backup-simplify]: Simplify 0 into 0
0.936 * [taylor]: Taking taylor expansion of 0 in lambda1
0.936 * [backup-simplify]: Simplify 0 into 0
0.936 * [taylor]: Taking taylor expansion of 0 in lambda2
0.936 * [backup-simplify]: Simplify 0 into 0
0.936 * [taylor]: Taking taylor expansion of 0 in R
0.936 * [backup-simplify]: Simplify 0 into 0
0.936 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0
0.937 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0
0.937 * [taylor]: Taking taylor expansion of 0 in lambda1
0.937 * [backup-simplify]: Simplify 0 into 0
0.937 * [taylor]: Taking taylor expansion of 0 in lambda2
0.937 * [backup-simplify]: Simplify 0 into 0
0.937 * [taylor]: Taking taylor expansion of 0 in R
0.937 * [backup-simplify]: Simplify 0 into 0
0.937 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0
0.938 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0
0.938 * [taylor]: Taking taylor expansion of 0 in lambda2
0.938 * [backup-simplify]: Simplify 0 into 0
0.938 * [taylor]: Taking taylor expansion of 0 in R
0.938 * [backup-simplify]: Simplify 0 into 0
0.938 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0
0.939 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0
0.939 * [taylor]: Taking taylor expansion of 0 in R
0.939 * [backup-simplify]: Simplify 0 into 0
0.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) (/ 0 1)))) into 0
0.940 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))))) into 0
0.940 * [backup-simplify]: Simplify 0 into 0
0.941 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
0.941 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0
0.941 * [taylor]: Taking taylor expansion of 0 in phi2
0.941 * [backup-simplify]: Simplify 0 into 0
0.941 * [taylor]: Taking taylor expansion of 0 in lambda1
0.941 * [backup-simplify]: Simplify 0 into 0
0.941 * [taylor]: Taking taylor expansion of 0 in lambda2
0.941 * [backup-simplify]: Simplify 0 into 0
0.941 * [taylor]: Taking taylor expansion of 0 in R
0.941 * [backup-simplify]: Simplify 0 into 0
0.941 * [taylor]: Taking taylor expansion of 0 in lambda1
0.941 * [backup-simplify]: Simplify 0 into 0
0.942 * [taylor]: Taking taylor expansion of 0 in lambda2
0.942 * [backup-simplify]: Simplify 0 into 0
0.942 * [taylor]: Taking taylor expansion of 0 in R
0.942 * [backup-simplify]: Simplify 0 into 0
0.942 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
0.943 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0
0.943 * [taylor]: Taking taylor expansion of 0 in lambda1
0.943 * [backup-simplify]: Simplify 0 into 0
0.943 * [taylor]: Taking taylor expansion of 0 in lambda2
0.943 * [backup-simplify]: Simplify 0 into 0
0.943 * [taylor]: Taking taylor expansion of 0 in R
0.943 * [backup-simplify]: Simplify 0 into 0
0.943 * [taylor]: Taking taylor expansion of 0 in lambda2
0.943 * [backup-simplify]: Simplify 0 into 0
0.943 * [taylor]: Taking taylor expansion of 0 in R
0.943 * [backup-simplify]: Simplify 0 into 0
0.943 * [taylor]: Taking taylor expansion of 0 in lambda2
0.943 * [backup-simplify]: Simplify 0 into 0
0.943 * [taylor]: Taking taylor expansion of 0 in R
0.943 * [backup-simplify]: Simplify 0 into 0
0.943 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
0.944 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0
0.944 * [taylor]: Taking taylor expansion of 0 in lambda2
0.944 * [backup-simplify]: Simplify 0 into 0
0.944 * [taylor]: Taking taylor expansion of 0 in R
0.944 * [backup-simplify]: Simplify 0 into 0
0.944 * [taylor]: Taking taylor expansion of 0 in R
0.944 * [backup-simplify]: Simplify 0 into 0
0.944 * [taylor]: Taking taylor expansion of 0 in R
0.944 * [backup-simplify]: Simplify 0 into 0
0.944 * [taylor]: Taking taylor expansion of 0 in R
0.944 * [backup-simplify]: Simplify 0 into 0
0.945 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
0.945 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0
0.945 * [taylor]: Taking taylor expansion of 0 in R
0.945 * [backup-simplify]: Simplify 0 into 0
0.945 * [backup-simplify]: Simplify 0 into 0
0.945 * [backup-simplify]: Simplify 0 into 0
0.945 * [backup-simplify]: Simplify 0 into 0
0.945 * [backup-simplify]: Simplify 0 into 0
0.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.947 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))))) into 0
0.947 * [backup-simplify]: Simplify 0 into 0
0.948 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1)))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
0.948 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1)
0.948 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2))
0.948 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0
0.948 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2
0.948 * [taylor]: Taking taylor expansion of (sin phi1) in phi2
0.948 * [taylor]: Taking taylor expansion of phi1 in phi2
0.948 * [backup-simplify]: Simplify phi1 into phi1
0.948 * [backup-simplify]: Simplify (sin phi1) into (sin phi1)
0.948 * [backup-simplify]: Simplify (cos phi1) into (cos phi1)
0.948 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
0.948 * [taylor]: Taking taylor expansion of phi2 in phi2
0.948 * [backup-simplify]: Simplify 0 into 0
0.948 * [backup-simplify]: Simplify 1 into 1
0.948 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
0.948 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
0.948 * [taylor]: Taking taylor expansion of phi1 in phi1
0.948 * [backup-simplify]: Simplify 0 into 0
0.948 * [backup-simplify]: Simplify 1 into 1
0.949 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
0.949 * [taylor]: Taking taylor expansion of phi2 in phi1
0.949 * [backup-simplify]: Simplify phi2 into phi2
0.949 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
0.949 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
0.949 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
0.949 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
0.949 * [taylor]: Taking taylor expansion of phi1 in phi1
0.949 * [backup-simplify]: Simplify 0 into 0
0.949 * [backup-simplify]: Simplify 1 into 1
0.949 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
0.949 * [taylor]: Taking taylor expansion of phi2 in phi1
0.949 * [backup-simplify]: Simplify phi2 into phi2
0.949 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
0.949 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
0.949 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2)
0.949 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0
0.949 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2)
0.949 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0
0.949 * [taylor]: Taking taylor expansion of 0 in phi2
0.949 * [backup-simplify]: Simplify 0 into 0
0.949 * [backup-simplify]: Simplify 0 into 0
0.950 * [backup-simplify]: Simplify (+ 0) into 0
0.950 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0
0.950 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.951 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0
0.951 * [backup-simplify]: Simplify (+ 0 0) into 0
0.951 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.952 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2)
0.952 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
0.952 * [taylor]: Taking taylor expansion of phi2 in phi2
0.952 * [backup-simplify]: Simplify 0 into 0
0.952 * [backup-simplify]: Simplify 1 into 1
0.952 * [backup-simplify]: Simplify 0 into 0
0.952 * [backup-simplify]: Simplify 0 into 0
0.952 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.953 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0
0.953 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.953 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0
0.954 * [backup-simplify]: Simplify (+ 0 0) into 0
0.954 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.955 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0
0.955 * [taylor]: Taking taylor expansion of 0 in phi2
0.955 * [backup-simplify]: Simplify 0 into 0
0.955 * [backup-simplify]: Simplify 0 into 0
0.955 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.955 * [backup-simplify]: Simplify 1 into 1
0.955 * [backup-simplify]: Simplify 0 into 0
0.956 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.956 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.957 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
0.958 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
0.958 * [backup-simplify]: Simplify (+ 0 0) into 0
0.960 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
0.961 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2)))
0.961 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2
0.961 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2
0.961 * [taylor]: Taking taylor expansion of 1/6 in phi2
0.961 * [backup-simplify]: Simplify 1/6 into 1/6
0.961 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
0.961 * [taylor]: Taking taylor expansion of phi2 in phi2
0.961 * [backup-simplify]: Simplify 0 into 0
0.961 * [backup-simplify]: Simplify 1 into 1
0.962 * [backup-simplify]: Simplify (* 1/6 0) into 0
0.962 * [backup-simplify]: Simplify (- 0) into 0
0.962 * [backup-simplify]: Simplify 0 into 0
0.962 * [backup-simplify]: Simplify 0 into 0
0.963 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.963 * [backup-simplify]: Simplify 0 into 0
0.963 * [backup-simplify]: Simplify 0 into 0
0.966 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
0.967 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.968 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
0.969 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
0.970 * [backup-simplify]: Simplify (+ 0 0) into 0
0.971 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
0.973 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0
0.973 * [taylor]: Taking taylor expansion of 0 in phi2
0.973 * [backup-simplify]: Simplify 0 into 0
0.973 * [backup-simplify]: Simplify 0 into 0
0.973 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2)
0.974 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
0.974 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0
0.974 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2
0.974 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
0.974 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
0.974 * [taylor]: Taking taylor expansion of phi2 in phi2
0.974 * [backup-simplify]: Simplify 0 into 0
0.974 * [backup-simplify]: Simplify 1 into 1
0.974 * [backup-simplify]: Simplify (/ 1 1) into 1
0.974 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
0.974 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
0.974 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
0.975 * [taylor]: Taking taylor expansion of phi1 in phi2
0.975 * [backup-simplify]: Simplify phi1 into phi1
0.975 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
0.975 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
0.975 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
0.975 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1
0.975 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
0.975 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
0.975 * [taylor]: Taking taylor expansion of phi2 in phi1
0.975 * [backup-simplify]: Simplify phi2 into phi2
0.975 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
0.975 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
0.975 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
0.975 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
0.975 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
0.975 * [taylor]: Taking taylor expansion of phi1 in phi1
0.975 * [backup-simplify]: Simplify 0 into 0
0.975 * [backup-simplify]: Simplify 1 into 1
0.976 * [backup-simplify]: Simplify (/ 1 1) into 1
0.976 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
0.976 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1
0.976 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
0.976 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
0.976 * [taylor]: Taking taylor expansion of phi2 in phi1
0.976 * [backup-simplify]: Simplify phi2 into phi2
0.976 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
0.976 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
0.976 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
0.976 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
0.976 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
0.977 * [taylor]: Taking taylor expansion of phi1 in phi1
0.977 * [backup-simplify]: Simplify 0 into 0
0.977 * [backup-simplify]: Simplify 1 into 1
0.977 * [backup-simplify]: Simplify (/ 1 1) into 1
0.977 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
0.977 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2))
0.977 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0
0.977 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2))
0.978 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
0.978 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2
0.978 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
0.978 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
0.978 * [taylor]: Taking taylor expansion of phi2 in phi2
0.978 * [backup-simplify]: Simplify 0 into 0
0.978 * [backup-simplify]: Simplify 1 into 1
0.978 * [backup-simplify]: Simplify (/ 1 1) into 1
0.978 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
0.978 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
0.978 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
0.978 * [taylor]: Taking taylor expansion of phi1 in phi2
0.978 * [backup-simplify]: Simplify phi1 into phi1
0.978 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
0.979 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
0.979 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
0.979 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1))
0.979 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0
0.979 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1))
0.979 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
0.979 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
0.980 * [backup-simplify]: Simplify (+ 0) into 0
0.980 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0
0.980 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
0.981 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.982 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0
0.982 * [backup-simplify]: Simplify (+ 0 0) into 0
0.982 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0
0.982 * [taylor]: Taking taylor expansion of 0 in phi2
0.982 * [backup-simplify]: Simplify 0 into 0
0.982 * [backup-simplify]: Simplify 0 into 0
0.983 * [backup-simplify]: Simplify (+ 0) into 0
0.983 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0
0.983 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
0.984 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.985 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0
0.985 * [backup-simplify]: Simplify (+ 0 0) into 0
0.985 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0
0.985 * [backup-simplify]: Simplify 0 into 0
0.986 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.989 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
0.989 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
0.990 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.990 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
0.991 * [backup-simplify]: Simplify (+ 0 0) into 0
0.991 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0
0.991 * [taylor]: Taking taylor expansion of 0 in phi2
0.991 * [backup-simplify]: Simplify 0 into 0
0.991 * [backup-simplify]: Simplify 0 into 0
0.991 * [backup-simplify]: Simplify 0 into 0
0.992 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.992 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
0.992 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
0.993 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.993 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
0.993 * [backup-simplify]: Simplify (+ 0 0) into 0
0.993 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0
0.993 * [backup-simplify]: Simplify 0 into 0
0.994 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.995 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.995 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
0.996 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
0.996 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
0.996 * [backup-simplify]: Simplify (+ 0 0) into 0
0.997 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0
0.997 * [taylor]: Taking taylor expansion of 0 in phi2
0.997 * [backup-simplify]: Simplify 0 into 0
0.997 * [backup-simplify]: Simplify 0 into 0
0.997 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2))
0.997 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
0.997 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0
0.997 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
0.997 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
0.997 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
0.997 * [taylor]: Taking taylor expansion of -1 in phi2
0.997 * [backup-simplify]: Simplify -1 into -1
0.997 * [taylor]: Taking taylor expansion of phi1 in phi2
0.997 * [backup-simplify]: Simplify phi1 into phi1
0.997 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
0.997 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
0.997 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
0.997 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
0.997 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
0.997 * [taylor]: Taking taylor expansion of -1 in phi2
0.997 * [backup-simplify]: Simplify -1 into -1
0.997 * [taylor]: Taking taylor expansion of phi2 in phi2
0.997 * [backup-simplify]: Simplify 0 into 0
0.997 * [backup-simplify]: Simplify 1 into 1
0.998 * [backup-simplify]: Simplify (/ -1 1) into -1
0.998 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
0.998 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
0.998 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
0.998 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
0.998 * [taylor]: Taking taylor expansion of -1 in phi1
0.998 * [backup-simplify]: Simplify -1 into -1
0.998 * [taylor]: Taking taylor expansion of phi1 in phi1
0.998 * [backup-simplify]: Simplify 0 into 0
0.998 * [backup-simplify]: Simplify 1 into 1
0.998 * [backup-simplify]: Simplify (/ -1 1) into -1
0.998 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
0.998 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
0.998 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
0.998 * [taylor]: Taking taylor expansion of -1 in phi1
0.998 * [backup-simplify]: Simplify -1 into -1
0.998 * [taylor]: Taking taylor expansion of phi2 in phi1
0.998 * [backup-simplify]: Simplify phi2 into phi2
0.998 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
0.998 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
0.998 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
0.998 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
0.998 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
0.998 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
0.998 * [taylor]: Taking taylor expansion of -1 in phi1
0.998 * [backup-simplify]: Simplify -1 into -1
0.999 * [taylor]: Taking taylor expansion of phi1 in phi1
0.999 * [backup-simplify]: Simplify 0 into 0
0.999 * [backup-simplify]: Simplify 1 into 1
0.999 * [backup-simplify]: Simplify (/ -1 1) into -1
0.999 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
0.999 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
0.999 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
0.999 * [taylor]: Taking taylor expansion of -1 in phi1
0.999 * [backup-simplify]: Simplify -1 into -1
0.999 * [taylor]: Taking taylor expansion of phi2 in phi1
0.999 * [backup-simplify]: Simplify phi2 into phi2
0.999 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
0.999 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
0.999 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
0.999 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2))
0.999 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0
0.999 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2))
0.999 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
0.999 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
0.999 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
0.999 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
0.999 * [taylor]: Taking taylor expansion of -1 in phi2
0.999 * [backup-simplify]: Simplify -1 into -1
0.999 * [taylor]: Taking taylor expansion of phi1 in phi2
0.999 * [backup-simplify]: Simplify phi1 into phi1
0.999 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
1.000 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
1.000 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
1.000 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
1.000 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
1.000 * [taylor]: Taking taylor expansion of -1 in phi2
1.000 * [backup-simplify]: Simplify -1 into -1
1.000 * [taylor]: Taking taylor expansion of phi2 in phi2
1.000 * [backup-simplify]: Simplify 0 into 0
1.000 * [backup-simplify]: Simplify 1 into 1
1.000 * [backup-simplify]: Simplify (/ -1 1) into -1
1.000 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
1.000 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1))
1.000 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0
1.000 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1))
1.000 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
1.000 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
1.001 * [backup-simplify]: Simplify (+ 0) into 0
1.001 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0
1.001 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0
1.001 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.002 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0
1.002 * [backup-simplify]: Simplify (+ 0 0) into 0
1.002 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0
1.002 * [taylor]: Taking taylor expansion of 0 in phi2
1.002 * [backup-simplify]: Simplify 0 into 0
1.002 * [backup-simplify]: Simplify 0 into 0
1.003 * [backup-simplify]: Simplify (+ 0) into 0
1.003 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0
1.003 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0
1.004 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.004 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0
1.005 * [backup-simplify]: Simplify (+ 0 0) into 0
1.005 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0
1.005 * [backup-simplify]: Simplify 0 into 0
1.006 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.006 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
1.006 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
1.007 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.008 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
1.008 * [backup-simplify]: Simplify (+ 0 0) into 0
1.009 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
1.009 * [taylor]: Taking taylor expansion of 0 in phi2
1.009 * [backup-simplify]: Simplify 0 into 0
1.009 * [backup-simplify]: Simplify 0 into 0
1.009 * [backup-simplify]: Simplify 0 into 0
1.010 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.011 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
1.011 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
1.012 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.012 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
1.013 * [backup-simplify]: Simplify (+ 0 0) into 0
1.013 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
1.013 * [backup-simplify]: Simplify 0 into 0
1.014 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.015 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.015 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
1.017 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.017 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.018 * [backup-simplify]: Simplify (+ 0 0) into 0
1.019 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0
1.019 * [taylor]: Taking taylor expansion of 0 in phi2
1.019 * [backup-simplify]: Simplify 0 into 0
1.019 * [backup-simplify]: Simplify 0 into 0
1.019 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2))
1.019 * * * [progress]: simplifying candidates
1.019 * * * * [progress]: [ 1 / 71 ] 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))>
1.020 * [simplify]: Simplifying (* (cos lambda1) (cos (- lambda2)))
1.020 * * [simplify]: iters left: 5 (6 enodes)
1.023 * * [simplify]: iters left: 4 (20 enodes)
1.028 * * [simplify]: Extracting #0: cost 1 inf + 0
1.028 * * [simplify]: Extracting #1: cost 4 inf + 0
1.028 * * [simplify]: Extracting #2: cost 9 inf + 0
1.028 * * [simplify]: Extracting #3: cost 5 inf + 165
1.028 * * [simplify]: Extracting #4: cost 0 inf + 652
1.028 * [simplify]: Simplified to (* (cos lambda1) (cos lambda2))
1.028 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R))
1.029 * * * * [progress]: [ 2 / 71 ] 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))>
1.029 * [simplify]: Simplifying (* (cos lambda1) (cos (- lambda2)))
1.029 * * [simplify]: iters left: 5 (6 enodes)
1.031 * * [simplify]: iters left: 4 (20 enodes)
1.036 * * [simplify]: Extracting #0: cost 1 inf + 0
1.037 * * [simplify]: Extracting #1: cost 4 inf + 0
1.037 * * [simplify]: Extracting #2: cost 9 inf + 0
1.037 * * [simplify]: Extracting #3: cost 5 inf + 165
1.037 * * [simplify]: Extracting #4: cost 0 inf + 652
1.037 * [simplify]: Simplified to (* (cos lambda1) (cos lambda2))
1.037 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R))
1.037 * * * * [progress]: [ 3 / 71 ] 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))>
1.038 * [simplify]: Simplifying (* (cos lambda1) (cos lambda2))
1.038 * * [simplify]: iters left: 3 (5 enodes)
1.040 * * [simplify]: iters left: 2 (16 enodes)
1.044 * * [simplify]: Extracting #0: cost 1 inf + 0
1.044 * * [simplify]: Extracting #1: cost 4 inf + 0
1.044 * * [simplify]: Extracting #2: cost 8 inf + 0
1.044 * * [simplify]: Extracting #3: cost 4 inf + 124
1.045 * * [simplify]: Extracting #4: cost 0 inf + 570
1.045 * [simplify]: Simplified to (* (cos lambda2) (cos lambda1))
1.045 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2)))))) R))
1.045 * * * * [progress]: [ 4 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (pow (cos (- lambda1 lambda2)) 1)))) R))>
1.045 * * * * [progress]: [ 5 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (exp (log (cos (- lambda1 lambda2))))))) R))>
1.045 * * * * [progress]: [ 6 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (log (exp (cos (- lambda1 lambda2))))))) R))>
1.045 * * * * [progress]: [ 7 / 71 ] 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))>
1.045 * * * * [progress]: [ 8 / 71 ] 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))>
1.045 * * * * [progress]: [ 9 / 71 ] 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))>
1.045 * * * * [progress]: [ 10 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (* 1 (cos (- lambda1 lambda2)))))) R))>
1.045 * * * * [progress]: [ 11 / 71 ] 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))>
1.046 * * * * [progress]: [ 12 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R))>
1.046 * * * * [progress]: [ 13 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 1) R))>
1.046 * * * * [progress]: [ 14 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))>
1.046 * * * * [progress]: [ 15 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))>
1.046 * * * * [progress]: [ 16 / 71 ] 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))>
1.046 * * * * [progress]: [ 17 / 71 ] 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))>
1.046 * * * * [progress]: [ 18 / 71 ] 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))>
1.046 * * * * [progress]: [ 19 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* 1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R))>
1.046 * * * * [progress]: [ 20 / 71 ] 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))>
1.046 * * * * [progress]: [ 21 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 1))>
1.046 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)
1.047 * * [simplify]: iters left: 6 (17 enodes)
1.054 * * [simplify]: iters left: 5 (60 enodes)
1.070 * * [simplify]: iters left: 4 (71 enodes)
1.090 * * [simplify]: iters left: 3 (76 enodes)
1.109 * * [simplify]: Extracting #0: cost 1 inf + 0
1.109 * * [simplify]: Extracting #1: cost 4 inf + 0
1.109 * * [simplify]: Extracting #2: cost 5 inf + 1
1.109 * * [simplify]: Extracting #3: cost 8 inf + 1
1.109 * * [simplify]: Extracting #4: cost 18 inf + 1
1.109 * * [simplify]: Extracting #5: cost 29 inf + 1
1.110 * * [simplify]: Extracting #6: cost 25 inf + 369
1.110 * * [simplify]: Extracting #7: cost 19 inf + 979
1.111 * * [simplify]: Extracting #8: cost 9 inf + 2522
1.113 * * [simplify]: Extracting #9: cost 0 inf + 6397
1.115 * [simplify]: Simplified to (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))
1.115 * [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))
1.115 * * * * [progress]: [ 22 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 1))>
1.115 * * * * [progress]: [ 23 / 71 ] 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))))>
1.116 * [simplify]: Simplifying (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log R))
1.116 * * [simplify]: iters left: 6 (19 enodes)
1.124 * * [simplify]: iters left: 5 (66 enodes)
1.142 * * [simplify]: iters left: 4 (77 enodes)
1.152 * * [simplify]: iters left: 3 (82 enodes)
1.163 * * [simplify]: Extracting #0: cost 1 inf + 0
1.163 * * [simplify]: Extracting #1: cost 4 inf + 0
1.163 * * [simplify]: Extracting #2: cost 8 inf + 0
1.163 * * [simplify]: Extracting #3: cost 9 inf + 1
1.163 * * [simplify]: Extracting #4: cost 10 inf + 143
1.163 * * [simplify]: Extracting #5: cost 20 inf + 143
1.163 * * [simplify]: Extracting #6: cost 31 inf + 143
1.163 * * [simplify]: Extracting #7: cost 26 inf + 572
1.163 * * [simplify]: Extracting #8: cost 22 inf + 959
1.164 * * [simplify]: Extracting #9: cost 12 inf + 2825
1.164 * * [simplify]: Extracting #10: cost 3 inf + 5933
1.165 * * [simplify]: Extracting #11: cost 0 inf + 8147
1.167 * [simplify]: Simplified to (+ (log R) (log (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))
1.167 * [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))))))))
1.167 * * * * [progress]: [ 24 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))>
1.167 * * * * [progress]: [ 25 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (log (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))>
1.167 * * * * [progress]: [ 26 / 71 ] 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))))>
1.167 * [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))
1.167 * * [simplify]: iters left: 6 (21 enodes)
1.172 * * [simplify]: iters left: 5 (78 enodes)
1.184 * * [simplify]: iters left: 4 (118 enodes)
1.205 * * [simplify]: iters left: 3 (178 enodes)
1.240 * * [simplify]: iters left: 2 (254 enodes)
1.295 * * [simplify]: iters left: 1 (411 enodes)
1.440 * * [simplify]: Extracting #0: cost 1 inf + 0
1.440 * * [simplify]: Extracting #1: cost 48 inf + 0
1.440 * * [simplify]: Extracting #2: cost 145 inf + 2
1.441 * * [simplify]: Extracting #3: cost 149 inf + 934
1.442 * * [simplify]: Extracting #4: cost 155 inf + 2154
1.443 * * [simplify]: Extracting #5: cost 161 inf + 3374
1.444 * * [simplify]: Extracting #6: cost 154 inf + 4379
1.447 * * [simplify]: Extracting #7: cost 121 inf + 22485
1.460 * * [simplify]: Extracting #8: cost 48 inf + 88157
1.499 * * [simplify]: Extracting #9: cost 1 inf + 137613
1.541 * * [simplify]: Extracting #10: cost 0 inf + 138710
1.577 * [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)))
1.577 * [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)))))
1.577 * * * * [progress]: [ 27 / 71 ] 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))))>
1.577 * * * * [progress]: [ 28 / 71 ] 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))))>
1.577 * * * * [progress]: [ 29 / 71 ] 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))))>
1.578 * * * * [progress]: [ 30 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)))>
1.578 * * * * [progress]: [ 31 / 71 ] 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))))>
1.578 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R))
1.578 * * [simplify]: iters left: 6 (19 enodes)
1.582 * * [simplify]: iters left: 5 (66 enodes)
1.591 * * [simplify]: iters left: 4 (77 enodes)
1.605 * * [simplify]: iters left: 3 (82 enodes)
1.627 * * [simplify]: Extracting #0: cost 1 inf + 0
1.628 * * [simplify]: Extracting #1: cost 4 inf + 0
1.628 * * [simplify]: Extracting #2: cost 8 inf + 0
1.628 * * [simplify]: Extracting #3: cost 9 inf + 1
1.628 * * [simplify]: Extracting #4: cost 10 inf + 83
1.628 * * [simplify]: Extracting #5: cost 20 inf + 83
1.628 * * [simplify]: Extracting #6: cost 31 inf + 83
1.628 * * [simplify]: Extracting #7: cost 26 inf + 512
1.629 * * [simplify]: Extracting #8: cost 22 inf + 899
1.630 * * [simplify]: Extracting #9: cost 12 inf + 2765
1.631 * * [simplify]: Extracting #10: cost 3 inf + 5843
1.633 * * [simplify]: Extracting #11: cost 0 inf + 7907
1.635 * [simplify]: Simplified to (* (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (sqrt R))
1.635 * [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))))
1.636 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R))
1.636 * * [simplify]: iters left: 6 (19 enodes)
1.644 * * [simplify]: iters left: 5 (66 enodes)
1.662 * * [simplify]: iters left: 4 (77 enodes)
1.683 * * [simplify]: iters left: 3 (82 enodes)
1.704 * * [simplify]: Extracting #0: cost 1 inf + 0
1.704 * * [simplify]: Extracting #1: cost 4 inf + 0
1.704 * * [simplify]: Extracting #2: cost 8 inf + 0
1.704 * * [simplify]: Extracting #3: cost 9 inf + 1
1.704 * * [simplify]: Extracting #4: cost 10 inf + 83
1.704 * * [simplify]: Extracting #5: cost 20 inf + 83
1.704 * * [simplify]: Extracting #6: cost 31 inf + 83
1.705 * * [simplify]: Extracting #7: cost 26 inf + 512
1.705 * * [simplify]: Extracting #8: cost 22 inf + 899
1.706 * * [simplify]: Extracting #9: cost 12 inf + 2765
1.707 * * [simplify]: Extracting #10: cost 3 inf + 5843
1.709 * * [simplify]: Extracting #11: cost 0 inf + 7907
1.711 * [simplify]: Simplified to (* (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (sqrt R))
1.711 * [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))))
1.712 * * * * [progress]: [ 32 / 71 ] 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)))>
1.712 * [simplify]: Simplifying (cbrt R)
1.712 * * [simplify]: iters left: 1 (2 enodes)
1.713 * * [simplify]: Extracting #0: cost 1 inf + 0
1.713 * * [simplify]: Extracting #1: cost 3 inf + 0
1.713 * * [simplify]: Extracting #2: cost 2 inf + 1
1.713 * * [simplify]: Extracting #3: cost 0 inf + 163
1.713 * [simplify]: Simplified to (cbrt R)
1.713 * [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)))
1.713 * * * * [progress]: [ 33 / 71 ] 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)))>
1.714 * [simplify]: Simplifying (sqrt R)
1.714 * * [simplify]: iters left: 1 (2 enodes)
1.714 * * [simplify]: Extracting #0: cost 1 inf + 0
1.714 * * [simplify]: Extracting #1: cost 3 inf + 0
1.714 * * [simplify]: Extracting #2: cost 2 inf + 1
1.715 * * [simplify]: Extracting #3: cost 0 inf + 83
1.715 * [simplify]: Simplified to (sqrt R)
1.715 * [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)))
1.715 * * * * [progress]: [ 34 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 1) R))>
1.715 * * * * [progress]: [ 35 / 71 ] 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)))>
1.715 * [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)))))))
1.715 * * [simplify]: iters left: 6 (17 enodes)
1.723 * * [simplify]: iters left: 5 (59 enodes)
1.739 * * [simplify]: iters left: 4 (70 enodes)
1.748 * * [simplify]: iters left: 3 (76 enodes)
1.759 * * [simplify]: Extracting #0: cost 1 inf + 0
1.759 * * [simplify]: Extracting #1: cost 3 inf + 0
1.759 * * [simplify]: Extracting #2: cost 5 inf + 0
1.759 * * [simplify]: Extracting #3: cost 7 inf + 0
1.759 * * [simplify]: Extracting #4: cost 10 inf + 0
1.759 * * [simplify]: Extracting #5: cost 20 inf + 0
1.759 * * [simplify]: Extracting #6: cost 31 inf + 0
1.760 * * [simplify]: Extracting #7: cost 27 inf + 368
1.760 * * [simplify]: Extracting #8: cost 21 inf + 978
1.760 * * [simplify]: Extracting #9: cost 10 inf + 2724
1.761 * * [simplify]: Extracting #10: cost 0 inf + 7902
1.762 * [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))))))
1.762 * [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)))
1.762 * * * * [progress]: [ 36 / 71 ] 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)))>
1.762 * [simplify]: Simplifying (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))
1.762 * * [simplify]: iters left: 6 (16 enodes)
1.766 * * [simplify]: iters left: 5 (56 enodes)
1.774 * * [simplify]: iters left: 4 (67 enodes)
1.792 * * [simplify]: iters left: 3 (73 enodes)
1.802 * * [simplify]: Extracting #0: cost 1 inf + 0
1.802 * * [simplify]: Extracting #1: cost 3 inf + 0
1.802 * * [simplify]: Extracting #2: cost 5 inf + 0
1.802 * * [simplify]: Extracting #3: cost 8 inf + 0
1.802 * * [simplify]: Extracting #4: cost 18 inf + 0
1.802 * * [simplify]: Extracting #5: cost 29 inf + 0
1.802 * * [simplify]: Extracting #6: cost 26 inf + 307
1.802 * * [simplify]: Extracting #7: cost 20 inf + 816
1.803 * * [simplify]: Extracting #8: cost 8 inf + 2825
1.803 * * [simplify]: Extracting #9: cost 1 inf + 5760
1.804 * * [simplify]: Extracting #10: cost 0 inf + 6394
1.805 * [simplify]: Simplified to (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))
1.805 * [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)))
1.805 * * * * [progress]: [ 37 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)))>
1.805 * * * * [progress]: [ 38 / 71 ] 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))))>
1.805 * * * * [progress]: [ 39 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))))>
1.805 * * * * [progress]: [ 40 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 2) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.806 * [simplify]: Simplifying (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))
1.806 * * [simplify]: iters left: 5 (7 enodes)
1.807 * * [simplify]: iters left: 4 (26 enodes)
1.811 * * [simplify]: iters left: 3 (32 enodes)
1.815 * * [simplify]: Extracting #0: cost 1 inf + 0
1.815 * * [simplify]: Extracting #1: cost 5 inf + 0
1.815 * * [simplify]: Extracting #2: cost 10 inf + 0
1.815 * * [simplify]: Extracting #3: cost 15 inf + 0
1.815 * * [simplify]: Extracting #4: cost 13 inf + 43
1.815 * * [simplify]: Extracting #5: cost 4 inf + 800
1.815 * * [simplify]: Extracting #6: cost 1 inf + 1186
1.815 * * [simplify]: Extracting #7: cost 0 inf + 1428
1.816 * [simplify]: Simplified to (- (cos (- phi1 phi2)) (cos (+ phi2 phi1)))
1.816 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) 2) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
1.816 * * * * [progress]: [ 41 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi1) (sin phi2)) 1) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.816 * [simplify]: Simplifying (* (sin phi1) (sin phi2))
1.816 * * [simplify]: iters left: 3 (5 enodes)
1.817 * * [simplify]: iters left: 2 (16 enodes)
1.819 * * [simplify]: Extracting #0: cost 1 inf + 0
1.819 * * [simplify]: Extracting #1: cost 4 inf + 0
1.819 * * [simplify]: Extracting #2: cost 8 inf + 0
1.820 * * [simplify]: Extracting #3: cost 4 inf + 124
1.820 * * [simplify]: Extracting #4: cost 0 inf + 570
1.820 * [simplify]: Simplified to (* (sin phi2) (sin phi1))
1.820 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi2) (sin phi1)) 1) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
1.820 * * * * [progress]: [ 42 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi1) (sin phi2)) 1) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.820 * * * * [progress]: [ 43 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (+ (log (sin phi1)) (log (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.820 * [simplify]: Simplifying (+ (log (sin phi1)) (log (sin phi2)))
1.820 * * [simplify]: iters left: 4 (7 enodes)
1.822 * * [simplify]: iters left: 3 (22 enodes)
1.824 * * [simplify]: Extracting #0: cost 1 inf + 0
1.825 * * [simplify]: Extracting #1: cost 4 inf + 0
1.825 * * [simplify]: Extracting #2: cost 8 inf + 0
1.825 * * [simplify]: Extracting #3: cost 12 inf + 0
1.825 * * [simplify]: Extracting #4: cost 10 inf + 2
1.825 * * [simplify]: Extracting #5: cost 4 inf + 508
1.825 * * [simplify]: Extracting #6: cost 1 inf + 1072
1.825 * * [simplify]: Extracting #7: cost 0 inf + 1374
1.825 * [simplify]: Simplified to (+ (log (sin phi2)) (log (sin phi1)))
1.825 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (+ (log (sin phi2)) (log (sin phi1)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
1.825 * * * * [progress]: [ 44 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (log (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.825 * * * * [progress]: [ 45 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.825 * * * * [progress]: [ 46 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.826 * [simplify]: Simplifying (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))
1.826 * * [simplify]: iters left: 6 (9 enodes)
1.828 * * [simplify]: iters left: 5 (34 enodes)
1.836 * * [simplify]: iters left: 4 (63 enodes)
1.861 * * [simplify]: iters left: 3 (122 enodes)
1.892 * * [simplify]: iters left: 2 (196 enodes)
1.938 * * [simplify]: iters left: 1 (356 enodes)
2.069 * * [simplify]: Extracting #0: cost 1 inf + 0
2.070 * * [simplify]: Extracting #1: cost 70 inf + 0
2.070 * * [simplify]: Extracting #2: cost 169 inf + 1
2.071 * * [simplify]: Extracting #3: cost 154 inf + 2658
2.074 * * [simplify]: Extracting #4: cost 86 inf + 31524
2.082 * * [simplify]: Extracting #5: cost 7 inf + 77226
2.090 * * [simplify]: Extracting #6: cost 0 inf + 81813
2.102 * [simplify]: Simplified to (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1)))
2.102 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.102 * * * * [progress]: [ 47 / 71 ] 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 phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.102 * * * * [progress]: [ 48 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.103 * * * * [progress]: [ 49 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.103 * * * * [progress]: [ 50 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* 1 (* (sin phi1) (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.103 * * * * [progress]: [ 51 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.103 * [simplify]: Simplifying (* (sqrt (sin phi1)) (sqrt (sin phi2)))
2.103 * * [simplify]: iters left: 4 (7 enodes)
2.106 * * [simplify]: iters left: 3 (22 enodes)
2.112 * * [simplify]: Extracting #0: cost 1 inf + 0
2.112 * * [simplify]: Extracting #1: cost 4 inf + 0
2.112 * * [simplify]: Extracting #2: cost 8 inf + 0
2.112 * * [simplify]: Extracting #3: cost 12 inf + 0
2.112 * * [simplify]: Extracting #4: cost 10 inf + 2
2.112 * * [simplify]: Extracting #5: cost 4 inf + 448
2.112 * * [simplify]: Extracting #6: cost 1 inf + 892
2.113 * * [simplify]: Extracting #7: cost 0 inf + 1134
2.113 * [simplify]: Simplified to (* (sqrt (sin phi1)) (sqrt (sin phi2)))
2.113 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.113 * [simplify]: Simplifying (* (sqrt (sin phi1)) (sqrt (sin phi2)))
2.113 * * [simplify]: iters left: 4 (7 enodes)
2.117 * * [simplify]: iters left: 3 (22 enodes)
2.123 * * [simplify]: Extracting #0: cost 1 inf + 0
2.123 * * [simplify]: Extracting #1: cost 4 inf + 0
2.123 * * [simplify]: Extracting #2: cost 8 inf + 0
2.123 * * [simplify]: Extracting #3: cost 12 inf + 0
2.123 * * [simplify]: Extracting #4: cost 10 inf + 2
2.123 * * [simplify]: Extracting #5: cost 4 inf + 448
2.123 * * [simplify]: Extracting #6: cost 1 inf + 892
2.124 * * [simplify]: Extracting #7: cost 0 inf + 1134
2.124 * [simplify]: Simplified to (* (sqrt (sin phi1)) (sqrt (sin phi2)))
2.124 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.124 * * * * [progress]: [ 52 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.124 * [simplify]: Simplifying (cbrt (sin phi2))
2.125 * * [simplify]: iters left: 2 (3 enodes)
2.126 * * [simplify]: iters left: 1 (9 enodes)
2.128 * * [simplify]: Extracting #0: cost 1 inf + 0
2.128 * * [simplify]: Extracting #1: cost 3 inf + 0
2.128 * * [simplify]: Extracting #2: cost 5 inf + 0
2.128 * * [simplify]: Extracting #3: cost 4 inf + 1
2.128 * * [simplify]: Extracting #4: cost 0 inf + 405
2.128 * [simplify]: Simplified to (cbrt (sin phi2))
2.129 * [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 phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.129 * * * * [progress]: [ 53 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (sqrt (sin phi2))) (sqrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.129 * [simplify]: Simplifying (sqrt (sin phi2))
2.129 * * [simplify]: iters left: 2 (3 enodes)
2.131 * * [simplify]: iters left: 1 (9 enodes)
2.133 * * [simplify]: Extracting #0: cost 1 inf + 0
2.133 * * [simplify]: Extracting #1: cost 3 inf + 0
2.133 * * [simplify]: Extracting #2: cost 5 inf + 0
2.133 * * [simplify]: Extracting #3: cost 4 inf + 1
2.133 * * [simplify]: Extracting #4: cost 0 inf + 325
2.133 * [simplify]: Simplified to (sqrt (sin phi2))
2.133 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (sqrt (sin phi2))) (sqrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.133 * * * * [progress]: [ 54 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) 1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.134 * [simplify]: Simplifying (sin phi2)
2.134 * * [simplify]: iters left: 1 (2 enodes)
2.134 * * [simplify]: Extracting #0: cost 1 inf + 0
2.134 * * [simplify]: Extracting #1: cost 3 inf + 0
2.135 * * [simplify]: Extracting #2: cost 2 inf + 1
2.135 * * [simplify]: Extracting #3: cost 0 inf + 123
2.135 * [simplify]: Simplified to (sin phi2)
2.135 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) 1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.135 * * * * [progress]: [ 55 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.135 * [simplify]: Simplifying (* (cbrt (sin phi1)) (cbrt (sin phi1)))
2.135 * * [simplify]: iters left: 4 (4 enodes)
2.137 * * [simplify]: iters left: 3 (12 enodes)
2.140 * * [simplify]: Extracting #0: cost 1 inf + 0
2.140 * * [simplify]: Extracting #1: cost 3 inf + 0
2.140 * * [simplify]: Extracting #2: cost 5 inf + 0
2.140 * * [simplify]: Extracting #3: cost 7 inf + 0
2.140 * * [simplify]: Extracting #4: cost 6 inf + 1
2.141 * * [simplify]: Extracting #5: cost 0 inf + 767
2.141 * [simplify]: Simplified to (* (cbrt (sin phi1)) (cbrt (sin phi1)))
2.141 * [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 phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.141 * * * * [progress]: [ 56 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.141 * [simplify]: Simplifying (sqrt (sin phi1))
2.141 * * [simplify]: iters left: 2 (3 enodes)
2.142 * * [simplify]: iters left: 1 (9 enodes)
2.145 * * [simplify]: Extracting #0: cost 1 inf + 0
2.145 * * [simplify]: Extracting #1: cost 3 inf + 0
2.145 * * [simplify]: Extracting #2: cost 5 inf + 0
2.145 * * [simplify]: Extracting #3: cost 4 inf + 1
2.145 * * [simplify]: Extracting #4: cost 0 inf + 325
2.145 * [simplify]: Simplified to (sqrt (sin phi1))
2.145 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.145 * * * * [progress]: [ 57 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* 1 (* (sin phi1) (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.145 * * * * [progress]: [ 58 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (posit16->real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.145 * * * * [progress]: [ 59 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.146 * * * * [progress]: [ 60 / 71 ] 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))>
2.146 * [simplify]: Simplifying (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2)))
2.146 * * [simplify]: iters left: 6 (10 enodes)
2.152 * * [simplify]: iters left: 5 (43 enodes)
2.166 * * [simplify]: iters left: 4 (68 enodes)
2.189 * * [simplify]: iters left: 3 (99 enodes)
2.203 * * [simplify]: iters left: 2 (121 enodes)
2.220 * * [simplify]: iters left: 1 (130 enodes)
2.253 * * [simplify]: Extracting #0: cost 1 inf + 0
2.253 * * [simplify]: Extracting #1: cost 15 inf + 0
2.254 * * [simplify]: Extracting #2: cost 30 inf + 2
2.254 * * [simplify]: Extracting #3: cost 30 inf + 130
2.255 * * [simplify]: Extracting #4: cost 12 inf + 1530
2.256 * * [simplify]: Extracting #5: cost 1 inf + 2680
2.258 * * [simplify]: Extracting #6: cost 0 inf + 2843
2.259 * [simplify]: Simplified to (+ (* (+ (* lambda1 -1/2) lambda2) lambda1) 1)
2.259 * [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))
2.260 * * * * [progress]: [ 61 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.260 * [simplify]: Simplifying (cos (- lambda1 lambda2))
2.260 * * [simplify]: iters left: 3 (4 enodes)
2.262 * * [simplify]: iters left: 2 (14 enodes)
2.266 * * [simplify]: iters left: 1 (17 enodes)
2.270 * * [simplify]: Extracting #0: cost 1 inf + 0
2.270 * * [simplify]: Extracting #1: cost 3 inf + 0
2.270 * * [simplify]: Extracting #2: cost 7 inf + 0
2.270 * * [simplify]: Extracting #3: cost 5 inf + 43
2.270 * * [simplify]: Extracting #4: cost 0 inf + 372
2.271 * [simplify]: Simplified to (cos (- lambda1 lambda2))
2.271 * [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))
2.271 * * * * [progress]: [ 62 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.271 * [simplify]: Simplifying (cos (- lambda1 lambda2))
2.271 * * [simplify]: iters left: 3 (4 enodes)
2.273 * * [simplify]: iters left: 2 (14 enodes)
2.277 * * [simplify]: iters left: 1 (17 enodes)
2.281 * * [simplify]: Extracting #0: cost 1 inf + 0
2.281 * * [simplify]: Extracting #1: cost 3 inf + 0
2.281 * * [simplify]: Extracting #2: cost 7 inf + 0
2.281 * * [simplify]: Extracting #3: cost 5 inf + 43
2.281 * * [simplify]: Extracting #4: cost 0 inf + 372
2.282 * [simplify]: Simplified to (cos (- lambda1 lambda2))
2.282 * [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))
2.282 * * * * [progress]: [ 63 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R))>
2.282 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
2.282 * * [simplify]: iters left: 6 (15 enodes)
2.288 * * [simplify]: iters left: 5 (53 enodes)
2.306 * * [simplify]: iters left: 4 (64 enodes)
2.315 * * [simplify]: iters left: 3 (69 enodes)
2.323 * * [simplify]: Extracting #0: cost 1 inf + 0
2.324 * * [simplify]: Extracting #1: cost 3 inf + 0
2.324 * * [simplify]: Extracting #2: cost 6 inf + 0
2.324 * * [simplify]: Extracting #3: cost 16 inf + 0
2.324 * * [simplify]: Extracting #4: cost 27 inf + 0
2.324 * * [simplify]: Extracting #5: cost 24 inf + 307
2.324 * * [simplify]: Extracting #6: cost 10 inf + 2175
2.325 * * [simplify]: Extracting #7: cost 0 inf + 5126
2.325 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))
2.326 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.326 * * * * [progress]: [ 64 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R))>
2.326 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
2.326 * * [simplify]: iters left: 6 (15 enodes)
2.329 * * [simplify]: iters left: 5 (53 enodes)
2.337 * * [simplify]: iters left: 4 (64 enodes)
2.346 * * [simplify]: iters left: 3 (69 enodes)
2.354 * * [simplify]: Extracting #0: cost 1 inf + 0
2.354 * * [simplify]: Extracting #1: cost 3 inf + 0
2.354 * * [simplify]: Extracting #2: cost 6 inf + 0
2.354 * * [simplify]: Extracting #3: cost 16 inf + 0
2.355 * * [simplify]: Extracting #4: cost 27 inf + 0
2.355 * * [simplify]: Extracting #5: cost 24 inf + 307
2.355 * * [simplify]: Extracting #6: cost 10 inf + 2175
2.356 * * [simplify]: Extracting #7: cost 0 inf + 5126
2.356 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))
2.356 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.356 * * * * [progress]: [ 65 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R))>
2.357 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
2.357 * * [simplify]: iters left: 6 (15 enodes)
2.360 * * [simplify]: iters left: 5 (53 enodes)
2.367 * * [simplify]: iters left: 4 (64 enodes)
2.377 * * [simplify]: iters left: 3 (69 enodes)
2.386 * * [simplify]: Extracting #0: cost 1 inf + 0
2.386 * * [simplify]: Extracting #1: cost 3 inf + 0
2.386 * * [simplify]: Extracting #2: cost 6 inf + 0
2.386 * * [simplify]: Extracting #3: cost 16 inf + 0
2.386 * * [simplify]: Extracting #4: cost 27 inf + 0
2.386 * * [simplify]: Extracting #5: cost 24 inf + 307
2.387 * * [simplify]: Extracting #6: cost 10 inf + 2175
2.387 * * [simplify]: Extracting #7: cost 0 inf + 5126
2.388 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))
2.388 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.388 * * * * [progress]: [ 66 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R))>
2.388 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
2.388 * * [simplify]: iters left: 6 (17 enodes)
2.392 * * [simplify]: iters left: 5 (60 enodes)
2.400 * * [simplify]: iters left: 4 (71 enodes)
2.410 * * [simplify]: iters left: 3 (76 enodes)
2.419 * * [simplify]: Extracting #0: cost 1 inf + 0
2.419 * * [simplify]: Extracting #1: cost 4 inf + 0
2.419 * * [simplify]: Extracting #2: cost 5 inf + 1
2.419 * * [simplify]: Extracting #3: cost 8 inf + 1
2.419 * * [simplify]: Extracting #4: cost 18 inf + 1
2.419 * * [simplify]: Extracting #5: cost 29 inf + 1
2.419 * * [simplify]: Extracting #6: cost 26 inf + 308
2.420 * * [simplify]: Extracting #7: cost 15 inf + 1931
2.421 * * [simplify]: Extracting #8: cost 2 inf + 5991
2.421 * * [simplify]: Extracting #9: cost 0 inf + 6397
2.423 * [simplify]: Simplified to (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))
2.423 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))))
2.423 * * * * [progress]: [ 67 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R))>
2.423 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
2.423 * * [simplify]: iters left: 6 (17 enodes)
2.430 * * [simplify]: iters left: 5 (60 enodes)
2.447 * * [simplify]: iters left: 4 (71 enodes)
2.465 * * [simplify]: iters left: 3 (76 enodes)
2.485 * * [simplify]: Extracting #0: cost 1 inf + 0
2.485 * * [simplify]: Extracting #1: cost 4 inf + 0
2.485 * * [simplify]: Extracting #2: cost 5 inf + 1
2.485 * * [simplify]: Extracting #3: cost 8 inf + 1
2.485 * * [simplify]: Extracting #4: cost 18 inf + 1
2.485 * * [simplify]: Extracting #5: cost 29 inf + 1
2.486 * * [simplify]: Extracting #6: cost 26 inf + 308
2.486 * * [simplify]: Extracting #7: cost 15 inf + 1931
2.488 * * [simplify]: Extracting #8: cost 2 inf + 5991
2.489 * * [simplify]: Extracting #9: cost 0 inf + 6397
2.491 * [simplify]: Simplified to (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))
2.491 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))))
2.491 * * * * [progress]: [ 68 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R))>
2.492 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
2.492 * * [simplify]: iters left: 6 (17 enodes)
2.499 * * [simplify]: iters left: 5 (60 enodes)
2.515 * * [simplify]: iters left: 4 (71 enodes)
2.533 * * [simplify]: iters left: 3 (76 enodes)
2.552 * * [simplify]: Extracting #0: cost 1 inf + 0
2.552 * * [simplify]: Extracting #1: cost 4 inf + 0
2.552 * * [simplify]: Extracting #2: cost 5 inf + 1
2.552 * * [simplify]: Extracting #3: cost 8 inf + 1
2.552 * * [simplify]: Extracting #4: cost 18 inf + 1
2.553 * * [simplify]: Extracting #5: cost 29 inf + 1
2.553 * * [simplify]: Extracting #6: cost 26 inf + 308
2.553 * * [simplify]: Extracting #7: cost 15 inf + 1931
2.555 * * [simplify]: Extracting #8: cost 2 inf + 5991
2.557 * * [simplify]: Extracting #9: cost 0 inf + 6397
2.558 * [simplify]: Simplified to (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))
2.558 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))))
2.558 * * * * [progress]: [ 69 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* phi1 phi2) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.559 * [simplify]: Simplifying (* phi1 phi2)
2.559 * * [simplify]: iters left: 2 (3 enodes)
2.560 * * [simplify]: iters left: 1 (10 enodes)
2.563 * * [simplify]: Extracting #0: cost 1 inf + 0
2.563 * * [simplify]: Extracting #1: cost 4 inf + 0
2.563 * * [simplify]: Extracting #2: cost 2 inf + 2
2.563 * * [simplify]: Extracting #3: cost 0 inf + 86
2.563 * [simplify]: Simplified to (* phi1 phi2)
2.563 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* phi1 phi2) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.563 * * * * [progress]: [ 70 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.564 * [simplify]: Simplifying (* (sin phi1) (sin phi2))
2.564 * * [simplify]: iters left: 3 (5 enodes)
2.566 * * [simplify]: iters left: 2 (16 enodes)
2.570 * * [simplify]: Extracting #0: cost 1 inf + 0
2.570 * * [simplify]: Extracting #1: cost 4 inf + 0
2.570 * * [simplify]: Extracting #2: cost 8 inf + 0
2.570 * * [simplify]: Extracting #3: cost 4 inf + 124
2.570 * * [simplify]: Extracting #4: cost 0 inf + 570
2.570 * [simplify]: Simplified to (* (sin phi2) (sin phi1))
2.570 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.570 * * * * [progress]: [ 71 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.571 * [simplify]: Simplifying (* (sin phi1) (sin phi2))
2.571 * * [simplify]: iters left: 3 (5 enodes)
2.573 * * [simplify]: iters left: 2 (16 enodes)
2.577 * * [simplify]: Extracting #0: cost 1 inf + 0
2.577 * * [simplify]: Extracting #1: cost 4 inf + 0
2.577 * * [simplify]: Extracting #2: cost 8 inf + 0
2.577 * * [simplify]: Extracting #3: cost 4 inf + 124
2.577 * * [simplify]: Extracting #4: cost 0 inf + 570
2.577 * [simplify]: Simplified to (* (sin phi2) (sin phi1))
2.577 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.578 * * * [progress]: adding candidates to table
3.840 * * [progress]: iteration 2 / 4
3.840 * * * [progress]: picking best candidate
3.980 * * * * [pick]: Picked  #<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))>
3.980 * * * [progress]: localizing error
4.061 * * * [progress]: generating rewritten candidates
4.062 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
4.064 * * * * [progress]: [ 2 / 4 ] rewriting at (2)
4.069 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1)
4.080 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2)
4.100 * * * [progress]: generating series expansions
4.100 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
4.101 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.101 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0
4.101 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
4.102 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.102 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
4.103 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.103 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
4.103 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.103 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
4.104 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.104 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
4.104 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.104 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
4.105 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.105 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
4.105 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.106 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
4.106 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.107 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.107 * [taylor]: Taking taylor expansion of 0 in phi2
4.107 * [backup-simplify]: Simplify 0 into 0
4.107 * [taylor]: Taking taylor expansion of 0 in lambda1
4.107 * [backup-simplify]: Simplify 0 into 0
4.107 * [taylor]: Taking taylor expansion of 0 in lambda2
4.107 * [backup-simplify]: Simplify 0 into 0
4.107 * [backup-simplify]: Simplify 0 into 0
4.107 * [taylor]: Taking taylor expansion of 0 in lambda1
4.107 * [backup-simplify]: Simplify 0 into 0
4.107 * [taylor]: Taking taylor expansion of 0 in lambda2
4.107 * [backup-simplify]: Simplify 0 into 0
4.107 * [backup-simplify]: Simplify 0 into 0
4.107 * [taylor]: Taking taylor expansion of 0 in lambda2
4.107 * [backup-simplify]: Simplify 0 into 0
4.107 * [backup-simplify]: Simplify 0 into 0
4.107 * [backup-simplify]: Simplify 0 into 0
4.107 * [taylor]: Taking taylor expansion of 0 in phi2
4.107 * [backup-simplify]: Simplify 0 into 0
4.107 * [taylor]: Taking taylor expansion of 0 in lambda1
4.107 * [backup-simplify]: Simplify 0 into 0
4.107 * [taylor]: Taking taylor expansion of 0 in lambda2
4.107 * [backup-simplify]: Simplify 0 into 0
4.107 * [backup-simplify]: Simplify 0 into 0
4.108 * [taylor]: Taking taylor expansion of 0 in lambda1
4.108 * [backup-simplify]: Simplify 0 into 0
4.108 * [taylor]: Taking taylor expansion of 0 in lambda2
4.108 * [backup-simplify]: Simplify 0 into 0
4.108 * [backup-simplify]: Simplify 0 into 0
4.108 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.109 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
4.109 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0
4.109 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
4.110 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
4.110 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
4.111 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
4.111 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
4.111 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
4.111 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
4.112 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
4.112 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
4.113 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
4.113 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
4.114 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
4.114 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
4.115 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
4.115 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
4.115 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
4.116 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
4.116 * [taylor]: Taking taylor expansion of 0 in phi2
4.116 * [backup-simplify]: Simplify 0 into 0
4.116 * [taylor]: Taking taylor expansion of 0 in lambda1
4.116 * [backup-simplify]: Simplify 0 into 0
4.116 * [taylor]: Taking taylor expansion of 0 in lambda2
4.116 * [backup-simplify]: Simplify 0 into 0
4.117 * [backup-simplify]: Simplify 0 into 0
4.117 * [taylor]: Taking taylor expansion of 0 in lambda1
4.117 * [backup-simplify]: Simplify 0 into 0
4.117 * [taylor]: Taking taylor expansion of 0 in lambda2
4.117 * [backup-simplify]: Simplify 0 into 0
4.117 * [backup-simplify]: Simplify 0 into 0
4.117 * [taylor]: Taking taylor expansion of 0 in lambda2
4.117 * [backup-simplify]: Simplify 0 into 0
4.117 * [backup-simplify]: Simplify 0 into 0
4.117 * [backup-simplify]: Simplify 0 into 0
4.117 * [taylor]: Taking taylor expansion of 0 in phi2
4.117 * [backup-simplify]: Simplify 0 into 0
4.117 * [taylor]: Taking taylor expansion of 0 in lambda1
4.117 * [backup-simplify]: Simplify 0 into 0
4.117 * [taylor]: Taking taylor expansion of 0 in lambda2
4.117 * [backup-simplify]: Simplify 0 into 0
4.117 * [backup-simplify]: Simplify 0 into 0
4.117 * [taylor]: Taking taylor expansion of 0 in lambda1
4.117 * [backup-simplify]: Simplify 0 into 0
4.117 * [taylor]: Taking taylor expansion of 0 in lambda2
4.117 * [backup-simplify]: Simplify 0 into 0
4.117 * [backup-simplify]: Simplify 0 into 0
4.118 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
4.119 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
4.119 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0
4.119 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2
4.120 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
4.120 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
4.121 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
4.121 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2
4.121 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
4.121 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
4.122 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
4.122 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
4.123 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
4.123 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2
4.124 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
4.124 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
4.125 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
4.125 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2
4.126 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
4.127 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
4.127 * [taylor]: Taking taylor expansion of 0 in phi2
4.127 * [backup-simplify]: Simplify 0 into 0
4.127 * [taylor]: Taking taylor expansion of 0 in lambda1
4.127 * [backup-simplify]: Simplify 0 into 0
4.127 * [taylor]: Taking taylor expansion of 0 in lambda2
4.127 * [backup-simplify]: Simplify 0 into 0
4.127 * [backup-simplify]: Simplify 0 into 0
4.127 * [taylor]: Taking taylor expansion of 0 in lambda1
4.127 * [backup-simplify]: Simplify 0 into 0
4.127 * [taylor]: Taking taylor expansion of 0 in lambda2
4.127 * [backup-simplify]: Simplify 0 into 0
4.127 * [backup-simplify]: Simplify 0 into 0
4.127 * [taylor]: Taking taylor expansion of 0 in lambda2
4.127 * [backup-simplify]: Simplify 0 into 0
4.127 * [backup-simplify]: Simplify 0 into 0
4.127 * [backup-simplify]: Simplify 0 into 0
4.127 * [taylor]: Taking taylor expansion of 0 in phi2
4.127 * [backup-simplify]: Simplify 0 into 0
4.127 * [taylor]: Taking taylor expansion of 0 in lambda1
4.127 * [backup-simplify]: Simplify 0 into 0
4.127 * [taylor]: Taking taylor expansion of 0 in lambda2
4.127 * [backup-simplify]: Simplify 0 into 0
4.127 * [backup-simplify]: Simplify 0 into 0
4.128 * [taylor]: Taking taylor expansion of 0 in lambda1
4.128 * [backup-simplify]: Simplify 0 into 0
4.128 * [taylor]: Taking taylor expansion of 0 in lambda2
4.128 * [backup-simplify]: Simplify 0 into 0
4.128 * [backup-simplify]: Simplify 0 into 0
4.128 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.129 * * * * [progress]: [ 2 / 4 ] generating series at (2)
4.129 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
4.129 * [approximate]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in (phi1 phi2 lambda1 lambda2 R) around 0
4.129 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R
4.129 * [taylor]: Taking taylor expansion of R in R
4.129 * [backup-simplify]: Simplify 0 into 0
4.129 * [backup-simplify]: Simplify 1 into 1
4.129 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R
4.130 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.130 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
4.130 * [taylor]: Taking taylor expansion of R in lambda2
4.130 * [backup-simplify]: Simplify R into R
4.130 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
4.131 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.131 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
4.131 * [taylor]: Taking taylor expansion of R in lambda1
4.131 * [backup-simplify]: Simplify R into R
4.131 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
4.131 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.131 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2
4.131 * [taylor]: Taking taylor expansion of R in phi2
4.132 * [backup-simplify]: Simplify R into R
4.132 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
4.132 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.132 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1
4.132 * [taylor]: Taking taylor expansion of R in phi1
4.132 * [backup-simplify]: Simplify R into R
4.132 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
4.133 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.133 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1
4.133 * [taylor]: Taking taylor expansion of R in phi1
4.133 * [backup-simplify]: Simplify R into R
4.133 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
4.133 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.134 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
4.134 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2
4.134 * [taylor]: Taking taylor expansion of R in phi2
4.134 * [backup-simplify]: Simplify R into R
4.134 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
4.135 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.136 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
4.136 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
4.136 * [taylor]: Taking taylor expansion of R in lambda1
4.136 * [backup-simplify]: Simplify R into R
4.136 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
4.136 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.137 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
4.137 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
4.137 * [taylor]: Taking taylor expansion of R in lambda2
4.137 * [backup-simplify]: Simplify R into R
4.137 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
4.138 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.138 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
4.138 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R
4.138 * [taylor]: Taking taylor expansion of R in R
4.138 * [backup-simplify]: Simplify 0 into 0
4.138 * [backup-simplify]: Simplify 1 into 1
4.138 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R
4.139 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.140 * [backup-simplify]: Simplify (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into 0
4.140 * [backup-simplify]: Simplify 0 into 0
4.140 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
4.140 * [taylor]: Taking taylor expansion of 0 in phi2
4.140 * [backup-simplify]: Simplify 0 into 0
4.140 * [taylor]: Taking taylor expansion of 0 in lambda1
4.140 * [backup-simplify]: Simplify 0 into 0
4.140 * [taylor]: Taking taylor expansion of 0 in lambda2
4.140 * [backup-simplify]: Simplify 0 into 0
4.140 * [taylor]: Taking taylor expansion of 0 in R
4.140 * [backup-simplify]: Simplify 0 into 0
4.141 * [backup-simplify]: Simplify 0 into 0
4.141 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
4.141 * [taylor]: Taking taylor expansion of 0 in lambda1
4.141 * [backup-simplify]: Simplify 0 into 0
4.141 * [taylor]: Taking taylor expansion of 0 in lambda2
4.141 * [backup-simplify]: Simplify 0 into 0
4.141 * [taylor]: Taking taylor expansion of 0 in R
4.141 * [backup-simplify]: Simplify 0 into 0
4.141 * [backup-simplify]: Simplify 0 into 0
4.142 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
4.142 * [taylor]: Taking taylor expansion of 0 in lambda2
4.142 * [backup-simplify]: Simplify 0 into 0
4.142 * [taylor]: Taking taylor expansion of 0 in R
4.142 * [backup-simplify]: Simplify 0 into 0
4.142 * [backup-simplify]: Simplify 0 into 0
4.143 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
4.143 * [taylor]: Taking taylor expansion of 0 in R
4.143 * [backup-simplify]: Simplify 0 into 0
4.143 * [backup-simplify]: Simplify 0 into 0
4.144 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.145 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.146 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0
4.146 * [taylor]: Taking taylor expansion of 0 in phi2
4.146 * [backup-simplify]: Simplify 0 into 0
4.146 * [taylor]: Taking taylor expansion of 0 in lambda1
4.146 * [backup-simplify]: Simplify 0 into 0
4.146 * [taylor]: Taking taylor expansion of 0 in lambda2
4.146 * [backup-simplify]: Simplify 0 into 0
4.146 * [taylor]: Taking taylor expansion of 0 in R
4.146 * [backup-simplify]: Simplify 0 into 0
4.146 * [backup-simplify]: Simplify 0 into 0
4.146 * [taylor]: Taking taylor expansion of 0 in lambda1
4.147 * [backup-simplify]: Simplify 0 into 0
4.147 * [taylor]: Taking taylor expansion of 0 in lambda2
4.147 * [backup-simplify]: Simplify 0 into 0
4.147 * [taylor]: Taking taylor expansion of 0 in R
4.147 * [backup-simplify]: Simplify 0 into 0
4.147 * [backup-simplify]: Simplify 0 into 0
4.151 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0
4.151 * [taylor]: Taking taylor expansion of 0 in lambda1
4.151 * [backup-simplify]: Simplify 0 into 0
4.151 * [taylor]: Taking taylor expansion of 0 in lambda2
4.151 * [backup-simplify]: Simplify 0 into 0
4.152 * [taylor]: Taking taylor expansion of 0 in R
4.152 * [backup-simplify]: Simplify 0 into 0
4.152 * [backup-simplify]: Simplify 0 into 0
4.152 * [taylor]: Taking taylor expansion of 0 in lambda2
4.152 * [backup-simplify]: Simplify 0 into 0
4.152 * [taylor]: Taking taylor expansion of 0 in R
4.152 * [backup-simplify]: Simplify 0 into 0
4.152 * [backup-simplify]: Simplify 0 into 0
4.152 * [taylor]: Taking taylor expansion of 0 in lambda2
4.152 * [backup-simplify]: Simplify 0 into 0
4.152 * [taylor]: Taking taylor expansion of 0 in R
4.152 * [backup-simplify]: Simplify 0 into 0
4.152 * [backup-simplify]: Simplify 0 into 0
4.153 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0
4.153 * [taylor]: Taking taylor expansion of 0 in lambda2
4.153 * [backup-simplify]: Simplify 0 into 0
4.153 * [taylor]: Taking taylor expansion of 0 in R
4.153 * [backup-simplify]: Simplify 0 into 0
4.153 * [backup-simplify]: Simplify 0 into 0
4.154 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* R (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
4.155 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) (/ 1 R)) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
4.155 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
4.155 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R
4.155 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R
4.156 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
4.156 * [taylor]: Taking taylor expansion of R in R
4.156 * [backup-simplify]: Simplify 0 into 0
4.156 * [backup-simplify]: Simplify 1 into 1
4.157 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
4.157 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2
4.157 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
4.158 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
4.158 * [taylor]: Taking taylor expansion of R in lambda2
4.158 * [backup-simplify]: Simplify R into R
4.159 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
4.159 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1
4.159 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
4.160 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
4.160 * [taylor]: Taking taylor expansion of R in lambda1
4.160 * [backup-simplify]: Simplify R into R
4.161 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
4.161 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2
4.161 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
4.162 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
4.162 * [taylor]: Taking taylor expansion of R in phi2
4.162 * [backup-simplify]: Simplify R into R
4.163 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
4.163 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1
4.163 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
4.164 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
4.164 * [taylor]: Taking taylor expansion of R in phi1
4.164 * [backup-simplify]: Simplify R into R
4.165 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
4.165 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1
4.165 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
4.166 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
4.166 * [taylor]: Taking taylor expansion of R in phi1
4.166 * [backup-simplify]: Simplify R into R
4.167 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
4.167 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2
4.167 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
4.168 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
4.168 * [taylor]: Taking taylor expansion of R in phi2
4.168 * [backup-simplify]: Simplify R into R
4.169 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
4.169 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1
4.169 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
4.169 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
4.170 * [taylor]: Taking taylor expansion of R in lambda1
4.170 * [backup-simplify]: Simplify R into R
4.170 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
4.170 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2
4.171 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
4.171 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
4.171 * [taylor]: Taking taylor expansion of R in lambda2
4.171 * [backup-simplify]: Simplify R into R
4.172 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
4.172 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R
4.172 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R
4.173 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
4.173 * [taylor]: Taking taylor expansion of R in R
4.173 * [backup-simplify]: Simplify 0 into 0
4.173 * [backup-simplify]: Simplify 1 into 1
4.174 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
4.175 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
4.176 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
4.176 * [taylor]: Taking taylor expansion of 0 in phi2
4.176 * [backup-simplify]: Simplify 0 into 0
4.176 * [taylor]: Taking taylor expansion of 0 in lambda1
4.176 * [backup-simplify]: Simplify 0 into 0
4.176 * [taylor]: Taking taylor expansion of 0 in lambda2
4.176 * [backup-simplify]: Simplify 0 into 0
4.176 * [taylor]: Taking taylor expansion of 0 in R
4.176 * [backup-simplify]: Simplify 0 into 0
4.177 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
4.177 * [taylor]: Taking taylor expansion of 0 in lambda1
4.177 * [backup-simplify]: Simplify 0 into 0
4.177 * [taylor]: Taking taylor expansion of 0 in lambda2
4.177 * [backup-simplify]: Simplify 0 into 0
4.177 * [taylor]: Taking taylor expansion of 0 in R
4.177 * [backup-simplify]: Simplify 0 into 0
4.178 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
4.178 * [taylor]: Taking taylor expansion of 0 in lambda2
4.178 * [backup-simplify]: Simplify 0 into 0
4.178 * [taylor]: Taking taylor expansion of 0 in R
4.178 * [backup-simplify]: Simplify 0 into 0
4.179 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
4.179 * [taylor]: Taking taylor expansion of 0 in R
4.179 * [backup-simplify]: Simplify 0 into 0
4.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)))) into 0
4.181 * [backup-simplify]: Simplify 0 into 0
4.182 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
4.182 * [taylor]: Taking taylor expansion of 0 in phi2
4.182 * [backup-simplify]: Simplify 0 into 0
4.182 * [taylor]: Taking taylor expansion of 0 in lambda1
4.182 * [backup-simplify]: Simplify 0 into 0
4.182 * [taylor]: Taking taylor expansion of 0 in lambda2
4.183 * [backup-simplify]: Simplify 0 into 0
4.183 * [taylor]: Taking taylor expansion of 0 in R
4.183 * [backup-simplify]: Simplify 0 into 0
4.183 * [taylor]: Taking taylor expansion of 0 in lambda1
4.183 * [backup-simplify]: Simplify 0 into 0
4.183 * [taylor]: Taking taylor expansion of 0 in lambda2
4.183 * [backup-simplify]: Simplify 0 into 0
4.183 * [taylor]: Taking taylor expansion of 0 in R
4.183 * [backup-simplify]: Simplify 0 into 0
4.184 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
4.184 * [taylor]: Taking taylor expansion of 0 in lambda1
4.184 * [backup-simplify]: Simplify 0 into 0
4.184 * [taylor]: Taking taylor expansion of 0 in lambda2
4.184 * [backup-simplify]: Simplify 0 into 0
4.184 * [taylor]: Taking taylor expansion of 0 in R
4.184 * [backup-simplify]: Simplify 0 into 0
4.184 * [taylor]: Taking taylor expansion of 0 in lambda2
4.184 * [backup-simplify]: Simplify 0 into 0
4.184 * [taylor]: Taking taylor expansion of 0 in R
4.184 * [backup-simplify]: Simplify 0 into 0
4.184 * [taylor]: Taking taylor expansion of 0 in lambda2
4.184 * [backup-simplify]: Simplify 0 into 0
4.184 * [taylor]: Taking taylor expansion of 0 in R
4.184 * [backup-simplify]: Simplify 0 into 0
4.185 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
4.185 * [taylor]: Taking taylor expansion of 0 in lambda2
4.185 * [backup-simplify]: Simplify 0 into 0
4.185 * [taylor]: Taking taylor expansion of 0 in R
4.185 * [backup-simplify]: Simplify 0 into 0
4.185 * [taylor]: Taking taylor expansion of 0 in R
4.185 * [backup-simplify]: Simplify 0 into 0
4.185 * [taylor]: Taking taylor expansion of 0 in R
4.185 * [backup-simplify]: Simplify 0 into 0
4.185 * [taylor]: Taking taylor expansion of 0 in R
4.185 * [backup-simplify]: Simplify 0 into 0
4.186 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
4.186 * [taylor]: Taking taylor expansion of 0 in R
4.186 * [backup-simplify]: Simplify 0 into 0
4.186 * [backup-simplify]: Simplify 0 into 0
4.187 * [backup-simplify]: Simplify 0 into 0
4.187 * [backup-simplify]: Simplify 0 into 0
4.187 * [backup-simplify]: Simplify 0 into 0
4.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.189 * [backup-simplify]: Simplify 0 into 0
4.191 * [backup-simplify]: Simplify (* (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R)
4.191 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) (/ 1 (- R))) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))
4.191 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0
4.191 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R
4.192 * [taylor]: Taking taylor expansion of -1 in R
4.192 * [backup-simplify]: Simplify -1 into -1
4.192 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R
4.192 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R
4.192 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
4.192 * [taylor]: Taking taylor expansion of R in R
4.192 * [backup-simplify]: Simplify 0 into 0
4.192 * [backup-simplify]: Simplify 1 into 1
4.193 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
4.193 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda2
4.193 * [taylor]: Taking taylor expansion of -1 in lambda2
4.193 * [backup-simplify]: Simplify -1 into -1
4.193 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda2
4.193 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2
4.194 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
4.194 * [taylor]: Taking taylor expansion of R in lambda2
4.194 * [backup-simplify]: Simplify R into R
4.195 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
4.195 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1
4.195 * [taylor]: Taking taylor expansion of -1 in lambda1
4.195 * [backup-simplify]: Simplify -1 into -1
4.195 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1
4.195 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
4.196 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
4.196 * [taylor]: Taking taylor expansion of R in lambda1
4.196 * [backup-simplify]: Simplify R into R
4.197 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
4.197 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi2
4.197 * [taylor]: Taking taylor expansion of -1 in phi2
4.197 * [backup-simplify]: Simplify -1 into -1
4.197 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi2
4.197 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2
4.198 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
4.198 * [taylor]: Taking taylor expansion of R in phi2
4.198 * [backup-simplify]: Simplify R into R
4.198 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
4.199 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1
4.199 * [taylor]: Taking taylor expansion of -1 in phi1
4.199 * [backup-simplify]: Simplify -1 into -1
4.199 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1
4.199 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
4.199 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
4.199 * [taylor]: Taking taylor expansion of R in phi1
4.200 * [backup-simplify]: Simplify R into R
4.200 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
4.200 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1
4.200 * [taylor]: Taking taylor expansion of -1 in phi1
4.200 * [backup-simplify]: Simplify -1 into -1
4.200 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1
4.200 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
4.201 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
4.201 * [taylor]: Taking taylor expansion of R in phi1
4.201 * [backup-simplify]: Simplify R into R
4.202 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
4.203 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))
4.203 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in phi2
4.203 * [taylor]: Taking taylor expansion of -1 in phi2
4.203 * [backup-simplify]: Simplify -1 into -1
4.203 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in phi2
4.203 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2
4.204 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
4.204 * [taylor]: Taking taylor expansion of R in phi2
4.204 * [backup-simplify]: Simplify R into R
4.205 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)
4.206 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))
4.206 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1
4.206 * [taylor]: Taking taylor expansion of -1 in lambda1
4.206 * [backup-simplify]: Simplify -1 into -1
4.206 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1
4.206 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
4.207 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
4.207 * [taylor]: Taking taylor expansion of R in lambda1
4.207 * [backup-simplify]: Simplify R into R
4.207 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
4.208 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))
4.208 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in lambda2
4.208 * [taylor]: Taking taylor expansion of -1 in lambda2
4.208 * [backup-simplify]: Simplify -1 into -1
4.208 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in lambda2
4.208 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2
4.209 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
4.209 * [taylor]: Taking taylor expansion of R in lambda2
4.209 * [backup-simplify]: Simplify R into R
4.210 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)
4.211 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))
4.211 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R
4.211 * [taylor]: Taking taylor expansion of -1 in R
4.211 * [backup-simplify]: Simplify -1 into -1
4.211 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R
4.211 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R
4.212 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
4.212 * [taylor]: Taking taylor expansion of R in R
4.212 * [backup-simplify]: Simplify 0 into 0
4.212 * [backup-simplify]: Simplify 1 into 1
4.213 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
4.213 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))
4.214 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
4.215 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0
4.217 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0
4.217 * [taylor]: Taking taylor expansion of 0 in phi2
4.217 * [backup-simplify]: Simplify 0 into 0
4.217 * [taylor]: Taking taylor expansion of 0 in lambda1
4.217 * [backup-simplify]: Simplify 0 into 0
4.217 * [taylor]: Taking taylor expansion of 0 in lambda2
4.217 * [backup-simplify]: Simplify 0 into 0
4.217 * [taylor]: Taking taylor expansion of 0 in R
4.217 * [backup-simplify]: Simplify 0 into 0
4.218 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0
4.219 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0
4.220 * [taylor]: Taking taylor expansion of 0 in lambda1
4.220 * [backup-simplify]: Simplify 0 into 0
4.220 * [taylor]: Taking taylor expansion of 0 in lambda2
4.220 * [backup-simplify]: Simplify 0 into 0
4.220 * [taylor]: Taking taylor expansion of 0 in R
4.220 * [backup-simplify]: Simplify 0 into 0
4.221 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0
4.223 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0
4.223 * [taylor]: Taking taylor expansion of 0 in lambda2
4.223 * [backup-simplify]: Simplify 0 into 0
4.223 * [taylor]: Taking taylor expansion of 0 in R
4.223 * [backup-simplify]: Simplify 0 into 0
4.224 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0
4.225 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0
4.225 * [taylor]: Taking taylor expansion of 0 in R
4.225 * [backup-simplify]: Simplify 0 into 0
4.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)))) into 0
4.228 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into 0
4.228 * [backup-simplify]: Simplify 0 into 0
4.229 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
4.231 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0
4.231 * [taylor]: Taking taylor expansion of 0 in phi2
4.231 * [backup-simplify]: Simplify 0 into 0
4.231 * [taylor]: Taking taylor expansion of 0 in lambda1
4.231 * [backup-simplify]: Simplify 0 into 0
4.231 * [taylor]: Taking taylor expansion of 0 in lambda2
4.231 * [backup-simplify]: Simplify 0 into 0
4.231 * [taylor]: Taking taylor expansion of 0 in R
4.231 * [backup-simplify]: Simplify 0 into 0
4.231 * [taylor]: Taking taylor expansion of 0 in lambda1
4.231 * [backup-simplify]: Simplify 0 into 0
4.232 * [taylor]: Taking taylor expansion of 0 in lambda2
4.232 * [backup-simplify]: Simplify 0 into 0
4.232 * [taylor]: Taking taylor expansion of 0 in R
4.232 * [backup-simplify]: Simplify 0 into 0
4.233 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
4.234 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0
4.235 * [taylor]: Taking taylor expansion of 0 in lambda1
4.235 * [backup-simplify]: Simplify 0 into 0
4.235 * [taylor]: Taking taylor expansion of 0 in lambda2
4.235 * [backup-simplify]: Simplify 0 into 0
4.235 * [taylor]: Taking taylor expansion of 0 in R
4.235 * [backup-simplify]: Simplify 0 into 0
4.235 * [taylor]: Taking taylor expansion of 0 in lambda2
4.235 * [backup-simplify]: Simplify 0 into 0
4.235 * [taylor]: Taking taylor expansion of 0 in R
4.235 * [backup-simplify]: Simplify 0 into 0
4.235 * [taylor]: Taking taylor expansion of 0 in lambda2
4.235 * [backup-simplify]: Simplify 0 into 0
4.235 * [taylor]: Taking taylor expansion of 0 in R
4.235 * [backup-simplify]: Simplify 0 into 0
4.236 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
4.238 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0
4.238 * [taylor]: Taking taylor expansion of 0 in lambda2
4.238 * [backup-simplify]: Simplify 0 into 0
4.238 * [taylor]: Taking taylor expansion of 0 in R
4.238 * [backup-simplify]: Simplify 0 into 0
4.238 * [taylor]: Taking taylor expansion of 0 in R
4.238 * [backup-simplify]: Simplify 0 into 0
4.238 * [taylor]: Taking taylor expansion of 0 in R
4.238 * [backup-simplify]: Simplify 0 into 0
4.238 * [taylor]: Taking taylor expansion of 0 in R
4.238 * [backup-simplify]: Simplify 0 into 0
4.238 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
4.240 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0
4.240 * [taylor]: Taking taylor expansion of 0 in R
4.240 * [backup-simplify]: Simplify 0 into 0
4.240 * [backup-simplify]: Simplify 0 into 0
4.240 * [backup-simplify]: Simplify 0 into 0
4.240 * [backup-simplify]: Simplify 0 into 0
4.240 * [backup-simplify]: Simplify 0 into 0
4.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.242 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))))) into 0
4.242 * [backup-simplify]: Simplify 0 into 0
4.243 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
4.243 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1)
4.243 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2))
4.243 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0
4.243 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2
4.243 * [taylor]: Taking taylor expansion of (sin phi1) in phi2
4.243 * [taylor]: Taking taylor expansion of phi1 in phi2
4.243 * [backup-simplify]: Simplify phi1 into phi1
4.243 * [backup-simplify]: Simplify (sin phi1) into (sin phi1)
4.243 * [backup-simplify]: Simplify (cos phi1) into (cos phi1)
4.243 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
4.243 * [taylor]: Taking taylor expansion of phi2 in phi2
4.244 * [backup-simplify]: Simplify 0 into 0
4.244 * [backup-simplify]: Simplify 1 into 1
4.244 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
4.244 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
4.244 * [taylor]: Taking taylor expansion of phi1 in phi1
4.244 * [backup-simplify]: Simplify 0 into 0
4.244 * [backup-simplify]: Simplify 1 into 1
4.244 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
4.244 * [taylor]: Taking taylor expansion of phi2 in phi1
4.244 * [backup-simplify]: Simplify phi2 into phi2
4.244 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
4.244 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
4.244 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
4.244 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
4.244 * [taylor]: Taking taylor expansion of phi1 in phi1
4.244 * [backup-simplify]: Simplify 0 into 0
4.244 * [backup-simplify]: Simplify 1 into 1
4.244 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
4.244 * [taylor]: Taking taylor expansion of phi2 in phi1
4.244 * [backup-simplify]: Simplify phi2 into phi2
4.244 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
4.244 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
4.244 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2)
4.244 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0
4.244 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2)
4.244 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0
4.244 * [taylor]: Taking taylor expansion of 0 in phi2
4.244 * [backup-simplify]: Simplify 0 into 0
4.244 * [backup-simplify]: Simplify 0 into 0
4.245 * [backup-simplify]: Simplify (+ 0) into 0
4.245 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0
4.245 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.246 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0
4.246 * [backup-simplify]: Simplify (+ 0 0) into 0
4.246 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.247 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2)
4.247 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
4.247 * [taylor]: Taking taylor expansion of phi2 in phi2
4.247 * [backup-simplify]: Simplify 0 into 0
4.247 * [backup-simplify]: Simplify 1 into 1
4.247 * [backup-simplify]: Simplify 0 into 0
4.247 * [backup-simplify]: Simplify 0 into 0
4.247 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.248 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0
4.248 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.249 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0
4.249 * [backup-simplify]: Simplify (+ 0 0) into 0
4.249 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.250 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0
4.250 * [taylor]: Taking taylor expansion of 0 in phi2
4.250 * [backup-simplify]: Simplify 0 into 0
4.250 * [backup-simplify]: Simplify 0 into 0
4.250 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.250 * [backup-simplify]: Simplify 1 into 1
4.250 * [backup-simplify]: Simplify 0 into 0
4.251 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.251 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.252 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.253 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.253 * [backup-simplify]: Simplify (+ 0 0) into 0
4.254 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
4.254 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2)))
4.255 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2
4.255 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2
4.255 * [taylor]: Taking taylor expansion of 1/6 in phi2
4.255 * [backup-simplify]: Simplify 1/6 into 1/6
4.255 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
4.255 * [taylor]: Taking taylor expansion of phi2 in phi2
4.255 * [backup-simplify]: Simplify 0 into 0
4.255 * [backup-simplify]: Simplify 1 into 1
4.255 * [backup-simplify]: Simplify (* 1/6 0) into 0
4.255 * [backup-simplify]: Simplify (- 0) into 0
4.255 * [backup-simplify]: Simplify 0 into 0
4.255 * [backup-simplify]: Simplify 0 into 0
4.256 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.256 * [backup-simplify]: Simplify 0 into 0
4.256 * [backup-simplify]: Simplify 0 into 0
4.257 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
4.258 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.258 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
4.259 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
4.259 * [backup-simplify]: Simplify (+ 0 0) into 0
4.260 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
4.261 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0
4.261 * [taylor]: Taking taylor expansion of 0 in phi2
4.261 * [backup-simplify]: Simplify 0 into 0
4.261 * [backup-simplify]: Simplify 0 into 0
4.261 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2)
4.261 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
4.261 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0
4.261 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2
4.261 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
4.261 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
4.261 * [taylor]: Taking taylor expansion of phi2 in phi2
4.261 * [backup-simplify]: Simplify 0 into 0
4.261 * [backup-simplify]: Simplify 1 into 1
4.261 * [backup-simplify]: Simplify (/ 1 1) into 1
4.261 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
4.261 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
4.261 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
4.261 * [taylor]: Taking taylor expansion of phi1 in phi2
4.262 * [backup-simplify]: Simplify phi1 into phi1
4.262 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
4.262 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
4.262 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
4.262 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1
4.262 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
4.262 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
4.262 * [taylor]: Taking taylor expansion of phi2 in phi1
4.262 * [backup-simplify]: Simplify phi2 into phi2
4.262 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
4.262 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
4.262 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
4.262 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
4.262 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
4.262 * [taylor]: Taking taylor expansion of phi1 in phi1
4.262 * [backup-simplify]: Simplify 0 into 0
4.262 * [backup-simplify]: Simplify 1 into 1
4.262 * [backup-simplify]: Simplify (/ 1 1) into 1
4.262 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
4.262 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1
4.262 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
4.262 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
4.262 * [taylor]: Taking taylor expansion of phi2 in phi1
4.262 * [backup-simplify]: Simplify phi2 into phi2
4.262 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
4.262 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
4.262 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
4.262 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
4.262 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
4.262 * [taylor]: Taking taylor expansion of phi1 in phi1
4.262 * [backup-simplify]: Simplify 0 into 0
4.262 * [backup-simplify]: Simplify 1 into 1
4.263 * [backup-simplify]: Simplify (/ 1 1) into 1
4.263 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
4.263 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2))
4.263 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0
4.263 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2))
4.263 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
4.263 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2
4.263 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
4.263 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
4.263 * [taylor]: Taking taylor expansion of phi2 in phi2
4.263 * [backup-simplify]: Simplify 0 into 0
4.263 * [backup-simplify]: Simplify 1 into 1
4.263 * [backup-simplify]: Simplify (/ 1 1) into 1
4.263 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
4.263 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
4.263 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
4.263 * [taylor]: Taking taylor expansion of phi1 in phi2
4.263 * [backup-simplify]: Simplify phi1 into phi1
4.264 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
4.264 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
4.264 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
4.264 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1))
4.264 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0
4.264 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1))
4.264 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
4.264 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
4.264 * [backup-simplify]: Simplify (+ 0) into 0
4.265 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0
4.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
4.265 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.265 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0
4.268 * [backup-simplify]: Simplify (+ 0 0) into 0
4.268 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0
4.268 * [taylor]: Taking taylor expansion of 0 in phi2
4.268 * [backup-simplify]: Simplify 0 into 0
4.268 * [backup-simplify]: Simplify 0 into 0
4.268 * [backup-simplify]: Simplify (+ 0) into 0
4.269 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0
4.269 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
4.269 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.269 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0
4.270 * [backup-simplify]: Simplify (+ 0 0) into 0
4.270 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0
4.270 * [backup-simplify]: Simplify 0 into 0
4.270 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.271 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
4.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
4.271 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.272 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
4.272 * [backup-simplify]: Simplify (+ 0 0) into 0
4.272 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0
4.272 * [taylor]: Taking taylor expansion of 0 in phi2
4.272 * [backup-simplify]: Simplify 0 into 0
4.272 * [backup-simplify]: Simplify 0 into 0
4.272 * [backup-simplify]: Simplify 0 into 0
4.273 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.273 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
4.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
4.274 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.274 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
4.275 * [backup-simplify]: Simplify (+ 0 0) into 0
4.275 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0
4.275 * [backup-simplify]: Simplify 0 into 0
4.276 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.277 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
4.279 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.279 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.280 * [backup-simplify]: Simplify (+ 0 0) into 0
4.281 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0
4.281 * [taylor]: Taking taylor expansion of 0 in phi2
4.281 * [backup-simplify]: Simplify 0 into 0
4.281 * [backup-simplify]: Simplify 0 into 0
4.281 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2))
4.281 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
4.281 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0
4.281 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
4.281 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
4.281 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
4.281 * [taylor]: Taking taylor expansion of -1 in phi2
4.281 * [backup-simplify]: Simplify -1 into -1
4.281 * [taylor]: Taking taylor expansion of phi1 in phi2
4.281 * [backup-simplify]: Simplify phi1 into phi1
4.281 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
4.282 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
4.282 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
4.282 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
4.282 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
4.282 * [taylor]: Taking taylor expansion of -1 in phi2
4.282 * [backup-simplify]: Simplify -1 into -1
4.282 * [taylor]: Taking taylor expansion of phi2 in phi2
4.282 * [backup-simplify]: Simplify 0 into 0
4.282 * [backup-simplify]: Simplify 1 into 1
4.283 * [backup-simplify]: Simplify (/ -1 1) into -1
4.283 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
4.283 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
4.283 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
4.283 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
4.283 * [taylor]: Taking taylor expansion of -1 in phi1
4.283 * [backup-simplify]: Simplify -1 into -1
4.283 * [taylor]: Taking taylor expansion of phi1 in phi1
4.283 * [backup-simplify]: Simplify 0 into 0
4.283 * [backup-simplify]: Simplify 1 into 1
4.283 * [backup-simplify]: Simplify (/ -1 1) into -1
4.283 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
4.283 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
4.283 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
4.283 * [taylor]: Taking taylor expansion of -1 in phi1
4.283 * [backup-simplify]: Simplify -1 into -1
4.283 * [taylor]: Taking taylor expansion of phi2 in phi1
4.283 * [backup-simplify]: Simplify phi2 into phi2
4.284 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
4.284 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
4.284 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
4.284 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
4.284 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
4.284 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
4.284 * [taylor]: Taking taylor expansion of -1 in phi1
4.284 * [backup-simplify]: Simplify -1 into -1
4.284 * [taylor]: Taking taylor expansion of phi1 in phi1
4.284 * [backup-simplify]: Simplify 0 into 0
4.284 * [backup-simplify]: Simplify 1 into 1
4.284 * [backup-simplify]: Simplify (/ -1 1) into -1
4.284 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
4.284 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
4.284 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
4.284 * [taylor]: Taking taylor expansion of -1 in phi1
4.284 * [backup-simplify]: Simplify -1 into -1
4.285 * [taylor]: Taking taylor expansion of phi2 in phi1
4.285 * [backup-simplify]: Simplify phi2 into phi2
4.285 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
4.285 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
4.285 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
4.285 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2))
4.285 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0
4.285 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2))
4.285 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
4.285 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
4.285 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
4.285 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
4.285 * [taylor]: Taking taylor expansion of -1 in phi2
4.285 * [backup-simplify]: Simplify -1 into -1
4.285 * [taylor]: Taking taylor expansion of phi1 in phi2
4.285 * [backup-simplify]: Simplify phi1 into phi1
4.285 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
4.285 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
4.286 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
4.286 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
4.286 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
4.286 * [taylor]: Taking taylor expansion of -1 in phi2
4.286 * [backup-simplify]: Simplify -1 into -1
4.286 * [taylor]: Taking taylor expansion of phi2 in phi2
4.286 * [backup-simplify]: Simplify 0 into 0
4.286 * [backup-simplify]: Simplify 1 into 1
4.286 * [backup-simplify]: Simplify (/ -1 1) into -1
4.286 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
4.286 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1))
4.286 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0
4.287 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1))
4.287 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
4.287 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
4.287 * [backup-simplify]: Simplify (+ 0) into 0
4.288 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0
4.288 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0
4.289 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.289 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0
4.289 * [backup-simplify]: Simplify (+ 0 0) into 0
4.290 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0
4.290 * [taylor]: Taking taylor expansion of 0 in phi2
4.290 * [backup-simplify]: Simplify 0 into 0
4.290 * [backup-simplify]: Simplify 0 into 0
4.290 * [backup-simplify]: Simplify (+ 0) into 0
4.290 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0
4.291 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0
4.291 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.292 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0
4.292 * [backup-simplify]: Simplify (+ 0 0) into 0
4.292 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0
4.292 * [backup-simplify]: Simplify 0 into 0
4.293 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.294 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
4.294 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
4.295 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.295 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
4.296 * [backup-simplify]: Simplify (+ 0 0) into 0
4.296 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
4.296 * [taylor]: Taking taylor expansion of 0 in phi2
4.296 * [backup-simplify]: Simplify 0 into 0
4.296 * [backup-simplify]: Simplify 0 into 0
4.296 * [backup-simplify]: Simplify 0 into 0
4.297 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.298 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
4.298 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
4.299 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.299 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
4.300 * [backup-simplify]: Simplify (+ 0 0) into 0
4.300 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
4.300 * [backup-simplify]: Simplify 0 into 0
4.301 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.302 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.302 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
4.304 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.305 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.305 * [backup-simplify]: Simplify (+ 0 0) into 0
4.306 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0
4.306 * [taylor]: Taking taylor expansion of 0 in phi2
4.306 * [backup-simplify]: Simplify 0 into 0
4.306 * [backup-simplify]: Simplify 0 into 0
4.306 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2))
4.306 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2)
4.306 * [backup-simplify]: Simplify (* (sin lambda1) (sin lambda2)) into (* (sin lambda1) (sin lambda2))
4.306 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0
4.306 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2
4.306 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2
4.306 * [taylor]: Taking taylor expansion of lambda1 in lambda2
4.307 * [backup-simplify]: Simplify lambda1 into lambda1
4.307 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1)
4.307 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1)
4.307 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
4.307 * [taylor]: Taking taylor expansion of lambda2 in lambda2
4.307 * [backup-simplify]: Simplify 0 into 0
4.307 * [backup-simplify]: Simplify 1 into 1
4.307 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1
4.307 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1
4.307 * [taylor]: Taking taylor expansion of lambda1 in lambda1
4.307 * [backup-simplify]: Simplify 0 into 0
4.307 * [backup-simplify]: Simplify 1 into 1
4.307 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1
4.307 * [taylor]: Taking taylor expansion of lambda2 in lambda1
4.307 * [backup-simplify]: Simplify lambda2 into lambda2
4.307 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2)
4.307 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2)
4.307 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1
4.307 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1
4.307 * [taylor]: Taking taylor expansion of lambda1 in lambda1
4.307 * [backup-simplify]: Simplify 0 into 0
4.307 * [backup-simplify]: Simplify 1 into 1
4.307 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1
4.307 * [taylor]: Taking taylor expansion of lambda2 in lambda1
4.307 * [backup-simplify]: Simplify lambda2 into lambda2
4.307 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2)
4.307 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2)
4.307 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2)
4.308 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0
4.308 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2)
4.308 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0
4.308 * [taylor]: Taking taylor expansion of 0 in lambda2
4.308 * [backup-simplify]: Simplify 0 into 0
4.308 * [backup-simplify]: Simplify 0 into 0
4.308 * [backup-simplify]: Simplify (+ 0) into 0
4.309 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0
4.310 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.310 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0
4.310 * [backup-simplify]: Simplify (+ 0 0) into 0
4.311 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.312 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2)
4.312 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
4.312 * [taylor]: Taking taylor expansion of lambda2 in lambda2
4.312 * [backup-simplify]: Simplify 0 into 0
4.312 * [backup-simplify]: Simplify 1 into 1
4.312 * [backup-simplify]: Simplify 0 into 0
4.312 * [backup-simplify]: Simplify 0 into 0
4.313 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.313 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0
4.314 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.315 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0
4.315 * [backup-simplify]: Simplify (+ 0 0) into 0
4.316 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.317 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0
4.317 * [taylor]: Taking taylor expansion of 0 in lambda2
4.317 * [backup-simplify]: Simplify 0 into 0
4.317 * [backup-simplify]: Simplify 0 into 0
4.318 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.318 * [backup-simplify]: Simplify 1 into 1
4.318 * [backup-simplify]: Simplify 0 into 0
4.319 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.319 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.321 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.321 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.322 * [backup-simplify]: Simplify (+ 0 0) into 0
4.323 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
4.325 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda2))))) into (- (* 1/6 (sin lambda2)))
4.325 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2
4.325 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2
4.325 * [taylor]: Taking taylor expansion of 1/6 in lambda2
4.325 * [backup-simplify]: Simplify 1/6 into 1/6
4.325 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
4.325 * [taylor]: Taking taylor expansion of lambda2 in lambda2
4.325 * [backup-simplify]: Simplify 0 into 0
4.325 * [backup-simplify]: Simplify 1 into 1
4.325 * [backup-simplify]: Simplify (* 1/6 0) into 0
4.326 * [backup-simplify]: Simplify (- 0) into 0
4.326 * [backup-simplify]: Simplify 0 into 0
4.326 * [backup-simplify]: Simplify 0 into 0
4.327 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.327 * [backup-simplify]: Simplify 0 into 0
4.327 * [backup-simplify]: Simplify 0 into 0
4.329 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
4.330 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.331 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
4.331 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
4.332 * [backup-simplify]: Simplify (+ 0 0) into 0
4.332 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
4.333 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda2)))))) into 0
4.333 * [taylor]: Taking taylor expansion of 0 in lambda2
4.333 * [backup-simplify]: Simplify 0 into 0
4.333 * [backup-simplify]: Simplify 0 into 0
4.333 * [backup-simplify]: Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
4.334 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))
4.334 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in (lambda1 lambda2) around 0
4.334 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2
4.334 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2
4.334 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
4.334 * [taylor]: Taking taylor expansion of lambda2 in lambda2
4.334 * [backup-simplify]: Simplify 0 into 0
4.334 * [backup-simplify]: Simplify 1 into 1
4.334 * [backup-simplify]: Simplify (/ 1 1) into 1
4.334 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
4.334 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2
4.334 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
4.334 * [taylor]: Taking taylor expansion of lambda1 in lambda2
4.334 * [backup-simplify]: Simplify lambda1 into lambda1
4.334 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
4.334 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
4.334 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
4.334 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1
4.334 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1
4.334 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
4.334 * [taylor]: Taking taylor expansion of lambda2 in lambda1
4.334 * [backup-simplify]: Simplify lambda2 into lambda2
4.334 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
4.334 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
4.334 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
4.334 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1
4.334 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
4.334 * [taylor]: Taking taylor expansion of lambda1 in lambda1
4.334 * [backup-simplify]: Simplify 0 into 0
4.334 * [backup-simplify]: Simplify 1 into 1
4.335 * [backup-simplify]: Simplify (/ 1 1) into 1
4.335 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
4.335 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1
4.335 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1
4.335 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
4.335 * [taylor]: Taking taylor expansion of lambda2 in lambda1
4.335 * [backup-simplify]: Simplify lambda2 into lambda2
4.335 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
4.335 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
4.335 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
4.335 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1
4.335 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
4.335 * [taylor]: Taking taylor expansion of lambda1 in lambda1
4.335 * [backup-simplify]: Simplify 0 into 0
4.335 * [backup-simplify]: Simplify 1 into 1
4.335 * [backup-simplify]: Simplify (/ 1 1) into 1
4.335 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
4.335 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2))
4.335 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0
4.335 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2))
4.336 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))
4.336 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2
4.336 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2
4.336 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
4.336 * [taylor]: Taking taylor expansion of lambda2 in lambda2
4.336 * [backup-simplify]: Simplify 0 into 0
4.336 * [backup-simplify]: Simplify 1 into 1
4.336 * [backup-simplify]: Simplify (/ 1 1) into 1
4.336 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
4.336 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2
4.336 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
4.336 * [taylor]: Taking taylor expansion of lambda1 in lambda2
4.336 * [backup-simplify]: Simplify lambda1 into lambda1
4.336 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
4.336 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
4.336 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
4.336 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1))
4.336 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0
4.336 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1))
4.336 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))
4.336 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))
4.337 * [backup-simplify]: Simplify (+ 0) into 0
4.337 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0
4.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
4.338 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.338 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0
4.338 * [backup-simplify]: Simplify (+ 0 0) into 0
4.338 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0
4.338 * [taylor]: Taking taylor expansion of 0 in lambda2
4.338 * [backup-simplify]: Simplify 0 into 0
4.338 * [backup-simplify]: Simplify 0 into 0
4.338 * [backup-simplify]: Simplify (+ 0) into 0
4.339 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0
4.339 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0
4.339 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.340 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0
4.340 * [backup-simplify]: Simplify (+ 0 0) into 0
4.340 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0
4.340 * [backup-simplify]: Simplify 0 into 0
4.340 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.341 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0
4.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
4.341 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.342 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0
4.342 * [backup-simplify]: Simplify (+ 0 0) into 0
4.343 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0
4.343 * [taylor]: Taking taylor expansion of 0 in lambda2
4.343 * [backup-simplify]: Simplify 0 into 0
4.343 * [backup-simplify]: Simplify 0 into 0
4.343 * [backup-simplify]: Simplify 0 into 0
4.343 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.344 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0
4.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0
4.344 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.345 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0
4.345 * [backup-simplify]: Simplify (+ 0 0) into 0
4.345 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0
4.345 * [backup-simplify]: Simplify 0 into 0
4.346 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.346 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
4.347 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.348 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.348 * [backup-simplify]: Simplify (+ 0 0) into 0
4.348 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0
4.348 * [taylor]: Taking taylor expansion of 0 in lambda2
4.348 * [backup-simplify]: Simplify 0 into 0
4.348 * [backup-simplify]: Simplify 0 into 0
4.348 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))) into (* (sin lambda2) (sin lambda1))
4.349 * [backup-simplify]: Simplify (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))
4.349 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0
4.349 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2
4.349 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2
4.349 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2
4.349 * [taylor]: Taking taylor expansion of -1 in lambda2
4.349 * [backup-simplify]: Simplify -1 into -1
4.349 * [taylor]: Taking taylor expansion of lambda1 in lambda2
4.349 * [backup-simplify]: Simplify lambda1 into lambda1
4.349 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1)
4.349 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
4.349 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
4.349 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2
4.349 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
4.349 * [taylor]: Taking taylor expansion of -1 in lambda2
4.349 * [backup-simplify]: Simplify -1 into -1
4.349 * [taylor]: Taking taylor expansion of lambda2 in lambda2
4.349 * [backup-simplify]: Simplify 0 into 0
4.349 * [backup-simplify]: Simplify 1 into 1
4.349 * [backup-simplify]: Simplify (/ -1 1) into -1
4.349 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
4.349 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1
4.349 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1
4.349 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1
4.349 * [taylor]: Taking taylor expansion of -1 in lambda1
4.349 * [backup-simplify]: Simplify -1 into -1
4.349 * [taylor]: Taking taylor expansion of lambda1 in lambda1
4.349 * [backup-simplify]: Simplify 0 into 0
4.349 * [backup-simplify]: Simplify 1 into 1
4.350 * [backup-simplify]: Simplify (/ -1 1) into -1
4.350 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
4.350 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1
4.350 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1
4.350 * [taylor]: Taking taylor expansion of -1 in lambda1
4.350 * [backup-simplify]: Simplify -1 into -1
4.350 * [taylor]: Taking taylor expansion of lambda2 in lambda1
4.350 * [backup-simplify]: Simplify lambda2 into lambda2
4.350 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2)
4.350 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
4.350 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
4.350 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1
4.350 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1
4.350 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1
4.350 * [taylor]: Taking taylor expansion of -1 in lambda1
4.350 * [backup-simplify]: Simplify -1 into -1
4.350 * [taylor]: Taking taylor expansion of lambda1 in lambda1
4.350 * [backup-simplify]: Simplify 0 into 0
4.350 * [backup-simplify]: Simplify 1 into 1
4.350 * [backup-simplify]: Simplify (/ -1 1) into -1
4.350 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
4.350 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1
4.351 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1
4.351 * [taylor]: Taking taylor expansion of -1 in lambda1
4.351 * [backup-simplify]: Simplify -1 into -1
4.351 * [taylor]: Taking taylor expansion of lambda2 in lambda1
4.351 * [backup-simplify]: Simplify lambda2 into lambda2
4.351 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2)
4.351 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
4.351 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
4.351 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2))
4.351 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0
4.351 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2))
4.351 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))
4.351 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2
4.351 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2
4.351 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2
4.351 * [taylor]: Taking taylor expansion of -1 in lambda2
4.351 * [backup-simplify]: Simplify -1 into -1
4.351 * [taylor]: Taking taylor expansion of lambda1 in lambda2
4.351 * [backup-simplify]: Simplify lambda1 into lambda1
4.351 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1)
4.351 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
4.351 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
4.351 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2
4.351 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
4.351 * [taylor]: Taking taylor expansion of -1 in lambda2
4.351 * [backup-simplify]: Simplify -1 into -1
4.351 * [taylor]: Taking taylor expansion of lambda2 in lambda2
4.351 * [backup-simplify]: Simplify 0 into 0
4.351 * [backup-simplify]: Simplify 1 into 1
4.352 * [backup-simplify]: Simplify (/ -1 1) into -1
4.352 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
4.352 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1))
4.352 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0
4.352 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1))
4.352 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))
4.352 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))
4.352 * [backup-simplify]: Simplify (+ 0) into 0
4.353 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0
4.353 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0
4.353 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.353 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0
4.354 * [backup-simplify]: Simplify (+ 0 0) into 0
4.354 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0
4.354 * [taylor]: Taking taylor expansion of 0 in lambda2
4.354 * [backup-simplify]: Simplify 0 into 0
4.354 * [backup-simplify]: Simplify 0 into 0
4.354 * [backup-simplify]: Simplify (+ 0) into 0
4.354 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0
4.355 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0
4.355 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.355 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0
4.355 * [backup-simplify]: Simplify (+ 0 0) into 0
4.356 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0
4.356 * [backup-simplify]: Simplify 0 into 0
4.356 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.357 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0
4.357 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
4.357 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.357 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0
4.358 * [backup-simplify]: Simplify (+ 0 0) into 0
4.358 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0
4.358 * [taylor]: Taking taylor expansion of 0 in lambda2
4.358 * [backup-simplify]: Simplify 0 into 0
4.358 * [backup-simplify]: Simplify 0 into 0
4.358 * [backup-simplify]: Simplify 0 into 0
4.359 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.359 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0
4.359 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0
4.360 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.360 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0
4.360 * [backup-simplify]: Simplify (+ 0 0) into 0
4.360 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0
4.360 * [backup-simplify]: Simplify 0 into 0
4.361 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.361 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.362 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
4.363 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.364 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.364 * [backup-simplify]: Simplify (+ 0 0) into 0
4.365 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0
4.365 * [taylor]: Taking taylor expansion of 0 in lambda2
4.365 * [backup-simplify]: Simplify 0 into 0
4.365 * [backup-simplify]: Simplify 0 into 0
4.365 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2))
4.365 * * * [progress]: simplifying candidates
4.365 * * * * [progress]: [ 1 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))>
4.365 * * * * [progress]: [ 2 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1) R))>
4.365 * * * * [progress]: [ 3 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
4.366 * * * * [progress]: [ 4 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
4.366 * * * * [progress]: [ 5 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
4.366 * * * * [progress]: [ 6 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
4.366 * * * * [progress]: [ 7 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
4.366 * * * * [progress]: [ 8 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* 1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))>
4.366 * * * * [progress]: [ 9 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (posit16->real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
4.366 * * * * [progress]: [ 10 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 1))>
4.366 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)
4.366 * * [simplify]: iters left: 6 (22 enodes)
4.375 * * [simplify]: iters left: 5 (82 enodes)
4.407 * * [simplify]: iters left: 4 (144 enodes)
4.436 * * [simplify]: iters left: 3 (254 enodes)
4.482 * * [simplify]: iters left: 2 (346 enodes)
4.575 * * [simplify]: Extracting #0: cost 1 inf + 0
4.575 * * [simplify]: Extracting #1: cost 4 inf + 0
4.575 * * [simplify]: Extracting #2: cost 5 inf + 1
4.575 * * [simplify]: Extracting #3: cost 12 inf + 1
4.576 * * [simplify]: Extracting #4: cost 48 inf + 1
4.576 * * [simplify]: Extracting #5: cost 82 inf + 1
4.577 * * [simplify]: Extracting #6: cost 70 inf + 594
4.578 * * [simplify]: Extracting #7: cost 51 inf + 3167
4.584 * * [simplify]: Extracting #8: cost 13 inf + 13749
4.590 * * [simplify]: Extracting #9: cost 4 inf + 18141
4.597 * * [simplify]: Extracting #10: cost 1 inf + 20744
4.605 * * [simplify]: Extracting #11: cost 0 inf + 21559
4.612 * * [simplify]: Extracting #12: cost 0 inf + 21519
4.619 * [simplify]: Simplified to (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R)
4.619 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R) 1))
4.619 * * * * [progress]: [ 11 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 1))>
4.619 * * * * [progress]: [ 12 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log R))))>
4.619 * [simplify]: Simplifying (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log R))
4.619 * * [simplify]: iters left: 6 (24 enodes)
4.624 * * [simplify]: iters left: 5 (88 enodes)
4.639 * * [simplify]: iters left: 4 (150 enodes)
4.666 * * [simplify]: iters left: 3 (260 enodes)
4.714 * * [simplify]: iters left: 2 (361 enodes)
4.799 * * [simplify]: Extracting #0: cost 1 inf + 0
4.799 * * [simplify]: Extracting #1: cost 4 inf + 0
4.799 * * [simplify]: Extracting #2: cost 8 inf + 0
4.799 * * [simplify]: Extracting #3: cost 7 inf + 143
4.799 * * [simplify]: Extracting #4: cost 14 inf + 143
4.799 * * [simplify]: Extracting #5: cost 50 inf + 143
4.799 * * [simplify]: Extracting #6: cost 84 inf + 143
4.800 * * [simplify]: Extracting #7: cost 71 inf + 898
4.801 * * [simplify]: Extracting #8: cost 31 inf + 9809
4.807 * * [simplify]: Extracting #9: cost 9 inf + 17595
4.814 * * [simplify]: Extracting #10: cost 2 inf + 21990
4.822 * * [simplify]: Extracting #11: cost 0 inf + 23869
4.830 * * [simplify]: Extracting #12: cost 0 inf + 23789
4.838 * [simplify]: Simplified to (+ (log (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (log R))
4.838 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (log R))))
4.839 * * * * [progress]: [ 13 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))>
4.839 * * * * [progress]: [ 14 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (log (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))>
4.839 * * * * [progress]: [ 15 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* R R) R))))>
4.839 * [simplify]: Simplifying (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* R R) R))
4.840 * * [simplify]: iters left: 6 (26 enodes)
4.851 * * [simplify]: iters left: 5 (100 enodes)
4.885 * * [simplify]: iters left: 4 (191 enodes)
4.931 * * [simplify]: iters left: 3 (353 enodes)
5.023 * * [simplify]: Extracting #0: cost 1 inf + 0
5.023 * * [simplify]: Extracting #1: cost 23 inf + 0
5.023 * * [simplify]: Extracting #2: cost 48 inf + 2
5.023 * * [simplify]: Extracting #3: cost 52 inf + 166
5.024 * * [simplify]: Extracting #4: cost 104 inf + 672
5.024 * * [simplify]: Extracting #5: cost 137 inf + 884
5.025 * * [simplify]: Extracting #6: cost 120 inf + 1984
5.027 * * [simplify]: Extracting #7: cost 77 inf + 11545
5.035 * * [simplify]: Extracting #8: cost 45 inf + 26064
5.051 * * [simplify]: Extracting #9: cost 30 inf + 37545
5.073 * * [simplify]: Extracting #10: cost 3 inf + 65671
5.099 * * [simplify]: Extracting #11: cost 0 inf + 68685
5.124 * [simplify]: Simplified to (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R) (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R)))
5.125 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R) (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R)))))
5.125 * * * * [progress]: [ 16 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))>
5.125 * * * * [progress]: [ 17 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))>
5.125 * * * * [progress]: [ 18 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))>
5.125 * * * * [progress]: [ 19 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)))>
5.125 * * * * [progress]: [ 20 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R))))>
5.126 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R))
5.126 * * [simplify]: iters left: 6 (24 enodes)
5.135 * * [simplify]: iters left: 5 (88 enodes)
5.149 * * [simplify]: iters left: 4 (150 enodes)
5.177 * * [simplify]: iters left: 3 (260 enodes)
5.256 * * [simplify]: iters left: 2 (361 enodes)
5.368 * * [simplify]: Extracting #0: cost 1 inf + 0
5.368 * * [simplify]: Extracting #1: cost 4 inf + 0
5.368 * * [simplify]: Extracting #2: cost 8 inf + 0
5.368 * * [simplify]: Extracting #3: cost 7 inf + 83
5.368 * * [simplify]: Extracting #4: cost 14 inf + 83
5.369 * * [simplify]: Extracting #5: cost 50 inf + 83
5.369 * * [simplify]: Extracting #6: cost 84 inf + 83
5.370 * * [simplify]: Extracting #7: cost 71 inf + 838
5.373 * * [simplify]: Extracting #8: cost 31 inf + 9749
5.379 * * [simplify]: Extracting #9: cost 9 inf + 17535
5.386 * * [simplify]: Extracting #10: cost 2 inf + 21840
5.394 * * [simplify]: Extracting #11: cost 0 inf + 23629
5.403 * * [simplify]: Extracting #12: cost 0 inf + 23549
5.411 * [simplify]: Simplified to (* (sqrt R) (sqrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))))
5.411 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt R) (sqrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R))))
5.412 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R))
5.412 * * [simplify]: iters left: 6 (24 enodes)
5.422 * * [simplify]: iters left: 5 (88 enodes)
5.436 * * [simplify]: iters left: 4 (150 enodes)
5.474 * * [simplify]: iters left: 3 (260 enodes)
5.538 * * [simplify]: iters left: 2 (361 enodes)
5.645 * * [simplify]: Extracting #0: cost 1 inf + 0
5.646 * * [simplify]: Extracting #1: cost 4 inf + 0
5.646 * * [simplify]: Extracting #2: cost 8 inf + 0
5.646 * * [simplify]: Extracting #3: cost 7 inf + 83
5.646 * * [simplify]: Extracting #4: cost 14 inf + 83
5.646 * * [simplify]: Extracting #5: cost 50 inf + 83
5.646 * * [simplify]: Extracting #6: cost 84 inf + 83
5.647 * * [simplify]: Extracting #7: cost 71 inf + 838
5.648 * * [simplify]: Extracting #8: cost 31 inf + 9749
5.651 * * [simplify]: Extracting #9: cost 9 inf + 17535
5.655 * * [simplify]: Extracting #10: cost 2 inf + 21840
5.659 * * [simplify]: Extracting #11: cost 0 inf + 23629
5.663 * * [simplify]: Extracting #12: cost 0 inf + 23549
5.667 * [simplify]: Simplified to (* (sqrt R) (sqrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))))
5.667 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt R) (sqrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))))))
5.667 * * * * [progress]: [ 21 / 80 ] 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)))))) (* (cbrt R) (cbrt R))) (cbrt R)))>
5.667 * [simplify]: Simplifying (cbrt R)
5.667 * * [simplify]: iters left: 1 (2 enodes)
5.668 * * [simplify]: Extracting #0: cost 1 inf + 0
5.668 * * [simplify]: Extracting #1: cost 3 inf + 0
5.668 * * [simplify]: Extracting #2: cost 2 inf + 1
5.668 * * [simplify]: Extracting #3: cost 0 inf + 163
5.668 * [simplify]: Simplified to (cbrt R)
5.668 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (cbrt R)))
5.668 * * * * [progress]: [ 22 / 80 ] 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)))))) (sqrt R)) (sqrt R)))>
5.668 * [simplify]: Simplifying (sqrt R)
5.668 * * [simplify]: iters left: 1 (2 enodes)
5.669 * * [simplify]: Extracting #0: cost 1 inf + 0
5.669 * * [simplify]: Extracting #1: cost 3 inf + 0
5.669 * * [simplify]: Extracting #2: cost 2 inf + 1
5.669 * * [simplify]: Extracting #3: cost 0 inf + 83
5.669 * [simplify]: Simplified to (sqrt R)
5.669 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (sqrt R)))
5.669 * * * * [progress]: [ 23 / 80 ] 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)))))) 1) R))>
5.669 * * * * [progress]: [ 24 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))>
5.669 * [simplify]: Simplifying (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
5.669 * * [simplify]: iters left: 6 (22 enodes)
5.674 * * [simplify]: iters left: 5 (81 enodes)
5.699 * * [simplify]: iters left: 4 (143 enodes)
5.726 * * [simplify]: iters left: 3 (253 enodes)
5.815 * * [simplify]: iters left: 2 (345 enodes)
5.903 * * [simplify]: Extracting #0: cost 1 inf + 0
5.903 * * [simplify]: Extracting #1: cost 3 inf + 0
5.903 * * [simplify]: Extracting #2: cost 5 inf + 0
5.903 * * [simplify]: Extracting #3: cost 7 inf + 0
5.903 * * [simplify]: Extracting #4: cost 14 inf + 0
5.903 * * [simplify]: Extracting #5: cost 50 inf + 0
5.904 * * [simplify]: Extracting #6: cost 84 inf + 0
5.904 * * [simplify]: Extracting #7: cost 73 inf + 431
5.905 * * [simplify]: Extracting #8: cost 49 inf + 4014
5.907 * * [simplify]: Extracting #9: cost 11 inf + 15602
5.911 * * [simplify]: Extracting #10: cost 2 inf + 21596
5.915 * * [simplify]: Extracting #11: cost 1 inf + 22570
5.919 * * [simplify]: Extracting #12: cost 0 inf + 23544
5.924 * [simplify]: Simplified to (* (cbrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))))
5.924 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))
5.924 * * * * [progress]: [ 25 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))>
5.925 * [simplify]: Simplifying (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
5.925 * * [simplify]: iters left: 6 (21 enodes)
5.934 * * [simplify]: iters left: 5 (78 enodes)
5.958 * * [simplify]: iters left: 4 (140 enodes)
5.995 * * [simplify]: iters left: 3 (250 enodes)
6.058 * * [simplify]: iters left: 2 (351 enodes)
6.125 * * [simplify]: Extracting #0: cost 1 inf + 0
6.125 * * [simplify]: Extracting #1: cost 3 inf + 0
6.125 * * [simplify]: Extracting #2: cost 5 inf + 0
6.125 * * [simplify]: Extracting #3: cost 12 inf + 0
6.125 * * [simplify]: Extracting #4: cost 48 inf + 0
6.125 * * [simplify]: Extracting #5: cost 82 inf + 0
6.126 * * [simplify]: Extracting #6: cost 64 inf + 1161
6.127 * * [simplify]: Extracting #7: cost 33 inf + 7871
6.130 * * [simplify]: Extracting #8: cost 7 inf + 16730
6.133 * * [simplify]: Extracting #9: cost 1 inf + 20622
6.139 * * [simplify]: Extracting #10: cost 0 inf + 21516
6.143 * [simplify]: Simplified to (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))))
6.143 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))
6.143 * * * * [progress]: [ 26 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)))>
6.143 * * * * [progress]: [ 27 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (posit16->real (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))>
6.143 * * * * [progress]: [ 28 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))>
6.143 * * * * [progress]: [ 29 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 2) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
6.143 * [simplify]: Simplifying (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))
6.143 * * [simplify]: iters left: 5 (7 enodes)
6.145 * * [simplify]: iters left: 4 (26 enodes)
6.148 * * [simplify]: iters left: 3 (32 enodes)
6.152 * * [simplify]: Extracting #0: cost 1 inf + 0
6.152 * * [simplify]: Extracting #1: cost 5 inf + 0
6.152 * * [simplify]: Extracting #2: cost 10 inf + 0
6.152 * * [simplify]: Extracting #3: cost 15 inf + 0
6.152 * * [simplify]: Extracting #4: cost 13 inf + 43
6.153 * * [simplify]: Extracting #5: cost 4 inf + 800
6.153 * * [simplify]: Extracting #6: cost 1 inf + 1186
6.153 * * [simplify]: Extracting #7: cost 0 inf + 1428
6.153 * [simplify]: Simplified to (- (cos (- phi1 phi2)) (cos (+ phi2 phi1)))
6.154 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) 2) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
6.154 * * * * [progress]: [ 30 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi1) (sin phi2)) 1) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
6.154 * [simplify]: Simplifying (* (sin phi1) (sin phi2))
6.154 * * [simplify]: iters left: 3 (5 enodes)
6.155 * * [simplify]: iters left: 2 (16 enodes)
6.157 * * [simplify]: Extracting #0: cost 1 inf + 0
6.157 * * [simplify]: Extracting #1: cost 4 inf + 0
6.157 * * [simplify]: Extracting #2: cost 8 inf + 0
6.157 * * [simplify]: Extracting #3: cost 4 inf + 124
6.157 * * [simplify]: Extracting #4: cost 0 inf + 570
6.157 * [simplify]: Simplified to (* (sin phi2) (sin phi1))
6.157 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi2) (sin phi1)) 1) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
6.158 * * * * [progress]: [ 31 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi1) (sin phi2)) 1) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
6.158 * * * * [progress]: [ 32 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (+ (log (sin phi1)) (log (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
6.158 * [simplify]: Simplifying (+ (log (sin phi1)) (log (sin phi2)))
6.158 * * [simplify]: iters left: 4 (7 enodes)
6.159 * * [simplify]: iters left: 3 (22 enodes)
6.162 * * [simplify]: Extracting #0: cost 1 inf + 0
6.162 * * [simplify]: Extracting #1: cost 4 inf + 0
6.162 * * [simplify]: Extracting #2: cost 8 inf + 0
6.162 * * [simplify]: Extracting #3: cost 12 inf + 0
6.162 * * [simplify]: Extracting #4: cost 10 inf + 2
6.162 * * [simplify]: Extracting #5: cost 4 inf + 508
6.162 * * [simplify]: Extracting #6: cost 1 inf + 1072
6.163 * * [simplify]: Extracting #7: cost 0 inf + 1374
6.163 * [simplify]: Simplified to (+ (log (sin phi2)) (log (sin phi1)))
6.163 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (+ (log (sin phi2)) (log (sin phi1)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
6.163 * * * * [progress]: [ 33 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (log (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
6.163 * * * * [progress]: [ 34 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
6.163 * * * * [progress]: [ 35 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
6.163 * [simplify]: Simplifying (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))
6.163 * * [simplify]: iters left: 6 (9 enodes)
6.165 * * [simplify]: iters left: 5 (34 enodes)
6.177 * * [simplify]: iters left: 4 (63 enodes)
6.202 * * [simplify]: iters left: 3 (122 enodes)
6.227 * * [simplify]: iters left: 2 (196 enodes)
6.293 * * [simplify]: iters left: 1 (356 enodes)
6.443 * * [simplify]: Extracting #0: cost 1 inf + 0
6.443 * * [simplify]: Extracting #1: cost 70 inf + 0
6.444 * * [simplify]: Extracting #2: cost 169 inf + 1
6.446 * * [simplify]: Extracting #3: cost 154 inf + 2658
6.453 * * [simplify]: Extracting #4: cost 86 inf + 31524
6.467 * * [simplify]: Extracting #5: cost 7 inf + 77226
6.484 * * [simplify]: Extracting #6: cost 0 inf + 81813
6.501 * [simplify]: Simplified to (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1)))
6.501 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
6.501 * * * * [progress]: [ 36 / 80 ] 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 phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
6.501 * * * * [progress]: [ 37 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
6.501 * * * * [progress]: [ 38 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
6.501 * * * * [progress]: [ 39 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* 1 (* (sin phi1) (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
6.501 * * * * [progress]: [ 40 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
6.502 * [simplify]: Simplifying (* (sqrt (sin phi1)) (sqrt (sin phi2)))
6.502 * * [simplify]: iters left: 4 (7 enodes)
6.505 * * [simplify]: iters left: 3 (22 enodes)
6.510 * * [simplify]: Extracting #0: cost 1 inf + 0
6.510 * * [simplify]: Extracting #1: cost 4 inf + 0
6.510 * * [simplify]: Extracting #2: cost 8 inf + 0
6.510 * * [simplify]: Extracting #3: cost 12 inf + 0
6.510 * * [simplify]: Extracting #4: cost 10 inf + 2
6.511 * * [simplify]: Extracting #5: cost 4 inf + 448
6.511 * * [simplify]: Extracting #6: cost 1 inf + 892
6.511 * * [simplify]: Extracting #7: cost 0 inf + 1134
6.511 * [simplify]: Simplified to (* (sqrt (sin phi1)) (sqrt (sin phi2)))
6.512 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
6.512 * [simplify]: Simplifying (* (sqrt (sin phi1)) (sqrt (sin phi2)))
6.512 * * [simplify]: iters left: 4 (7 enodes)
6.515 * * [simplify]: iters left: 3 (22 enodes)
6.520 * * [simplify]: Extracting #0: cost 1 inf + 0
6.520 * * [simplify]: Extracting #1: cost 4 inf + 0
6.520 * * [simplify]: Extracting #2: cost 8 inf + 0
6.521 * * [simplify]: Extracting #3: cost 12 inf + 0
6.521 * * [simplify]: Extracting #4: cost 10 inf + 2
6.521 * * [simplify]: Extracting #5: cost 4 inf + 448
6.521 * * [simplify]: Extracting #6: cost 1 inf + 892
6.521 * * [simplify]: Extracting #7: cost 0 inf + 1134
6.522 * [simplify]: Simplified to (* (sqrt (sin phi1)) (sqrt (sin phi2)))
6.522 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
6.522 * * * * [progress]: [ 41 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
6.522 * [simplify]: Simplifying (cbrt (sin phi2))
6.522 * * [simplify]: iters left: 2 (3 enodes)
6.524 * * [simplify]: iters left: 1 (9 enodes)
6.526 * * [simplify]: Extracting #0: cost 1 inf + 0
6.526 * * [simplify]: Extracting #1: cost 3 inf + 0
6.526 * * [simplify]: Extracting #2: cost 5 inf + 0
6.526 * * [simplify]: Extracting #3: cost 4 inf + 1
6.526 * * [simplify]: Extracting #4: cost 0 inf + 405
6.527 * [simplify]: Simplified to (cbrt (sin phi2))
6.527 * [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 phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
6.527 * * * * [progress]: [ 42 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (sqrt (sin phi2))) (sqrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
6.527 * [simplify]: Simplifying (sqrt (sin phi2))
6.527 * * [simplify]: iters left: 2 (3 enodes)
6.528 * * [simplify]: iters left: 1 (9 enodes)
6.531 * * [simplify]: Extracting #0: cost 1 inf + 0
6.531 * * [simplify]: Extracting #1: cost 3 inf + 0
6.531 * * [simplify]: Extracting #2: cost 5 inf + 0
6.531 * * [simplify]: Extracting #3: cost 4 inf + 1
6.531 * * [simplify]: Extracting #4: cost 0 inf + 325
6.531 * [simplify]: Simplified to (sqrt (sin phi2))
6.531 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (sqrt (sin phi2))) (sqrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
6.531 * * * * [progress]: [ 43 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) 1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
6.532 * [simplify]: Simplifying (sin phi2)
6.532 * * [simplify]: iters left: 1 (2 enodes)
6.533 * * [simplify]: Extracting #0: cost 1 inf + 0
6.533 * * [simplify]: Extracting #1: cost 3 inf + 0
6.533 * * [simplify]: Extracting #2: cost 2 inf + 1
6.533 * * [simplify]: Extracting #3: cost 0 inf + 123
6.533 * [simplify]: Simplified to (sin phi2)
6.533 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) 1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
6.533 * * * * [progress]: [ 44 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
6.533 * [simplify]: Simplifying (* (cbrt (sin phi1)) (cbrt (sin phi1)))
6.534 * * [simplify]: iters left: 4 (4 enodes)
6.535 * * [simplify]: iters left: 3 (12 enodes)
6.539 * * [simplify]: Extracting #0: cost 1 inf + 0
6.539 * * [simplify]: Extracting #1: cost 3 inf + 0
6.539 * * [simplify]: Extracting #2: cost 5 inf + 0
6.539 * * [simplify]: Extracting #3: cost 7 inf + 0
6.539 * * [simplify]: Extracting #4: cost 6 inf + 1
6.539 * * [simplify]: Extracting #5: cost 0 inf + 767
6.539 * [simplify]: Simplified to (* (cbrt (sin phi1)) (cbrt (sin phi1)))
6.539 * [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 phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
6.540 * * * * [progress]: [ 45 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
6.540 * [simplify]: Simplifying (sqrt (sin phi1))
6.540 * * [simplify]: iters left: 2 (3 enodes)
6.541 * * [simplify]: iters left: 1 (9 enodes)
6.544 * * [simplify]: Extracting #0: cost 1 inf + 0
6.544 * * [simplify]: Extracting #1: cost 3 inf + 0
6.544 * * [simplify]: Extracting #2: cost 5 inf + 0
6.544 * * [simplify]: Extracting #3: cost 4 inf + 1
6.544 * * [simplify]: Extracting #4: cost 0 inf + 325
6.544 * [simplify]: Simplified to (sqrt (sin phi1))
6.544 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
6.544 * * * * [progress]: [ 46 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* 1 (* (sin phi1) (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
6.544 * * * * [progress]: [ 47 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (posit16->real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
6.544 * * * * [progress]: [ 48 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
6.544 * * * * [progress]: [ 49 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (/ (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) 2))))) R))>
6.545 * [simplify]: Simplifying (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))
6.545 * * [simplify]: iters left: 5 (7 enodes)
6.548 * * [simplify]: iters left: 4 (26 enodes)
6.555 * * [simplify]: iters left: 3 (32 enodes)
6.563 * * [simplify]: Extracting #0: cost 1 inf + 0
6.563 * * [simplify]: Extracting #1: cost 5 inf + 0
6.563 * * [simplify]: Extracting #2: cost 10 inf + 0
6.563 * * [simplify]: Extracting #3: cost 15 inf + 0
6.563 * * [simplify]: Extracting #4: cost 13 inf + 43
6.563 * * [simplify]: Extracting #5: cost 4 inf + 800
6.564 * * [simplify]: Extracting #6: cost 1 inf + 1186
6.564 * * [simplify]: Extracting #7: cost 0 inf + 1428
6.565 * [simplify]: Simplified to (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1)))
6.565 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (/ (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))) 2))))) R))
6.565 * * * * [progress]: [ 50 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (pow (* (sin lambda1) (sin lambda2)) 1))))) R))>
6.565 * [simplify]: Simplifying (* (sin lambda1) (sin lambda2))
6.565 * * [simplify]: iters left: 3 (5 enodes)
6.570 * * [simplify]: iters left: 2 (16 enodes)
6.574 * * [simplify]: Extracting #0: cost 1 inf + 0
6.574 * * [simplify]: Extracting #1: cost 4 inf + 0
6.575 * * [simplify]: Extracting #2: cost 8 inf + 0
6.575 * * [simplify]: Extracting #3: cost 4 inf + 124
6.575 * * [simplify]: Extracting #4: cost 0 inf + 570
6.575 * [simplify]: Simplified to (* (sin lambda2) (sin lambda1))
6.575 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (pow (* (sin lambda2) (sin lambda1)) 1))))) R))
6.575 * * * * [progress]: [ 51 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (pow (* (sin lambda1) (sin lambda2)) 1))))) R))>
6.575 * * * * [progress]: [ 52 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (exp (+ (log (sin lambda1)) (log (sin lambda2)))))))) R))>
6.576 * [simplify]: Simplifying (+ (log (sin lambda1)) (log (sin lambda2)))
6.576 * * [simplify]: iters left: 4 (7 enodes)
6.579 * * [simplify]: iters left: 3 (22 enodes)
6.585 * * [simplify]: Extracting #0: cost 1 inf + 0
6.585 * * [simplify]: Extracting #1: cost 4 inf + 0
6.585 * * [simplify]: Extracting #2: cost 8 inf + 0
6.585 * * [simplify]: Extracting #3: cost 12 inf + 0
6.585 * * [simplify]: Extracting #4: cost 10 inf + 2
6.585 * * [simplify]: Extracting #5: cost 4 inf + 508
6.585 * * [simplify]: Extracting #6: cost 1 inf + 1072
6.586 * * [simplify]: Extracting #7: cost 0 inf + 1374
6.586 * [simplify]: Simplified to (+ (log (sin lambda2)) (log (sin lambda1)))
6.586 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (exp (+ (log (sin lambda2)) (log (sin lambda1)))))))) R))
6.586 * * * * [progress]: [ 53 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (exp (log (* (sin lambda1) (sin lambda2)))))))) R))>
6.586 * * * * [progress]: [ 54 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))>
6.586 * * * * [progress]: [ 55 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2)))))))) R))>
6.587 * [simplify]: Simplifying (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2)))
6.587 * * [simplify]: iters left: 6 (9 enodes)
6.591 * * [simplify]: iters left: 5 (34 enodes)
6.601 * * [simplify]: iters left: 4 (63 enodes)
6.625 * * [simplify]: iters left: 3 (122 enodes)
6.673 * * [simplify]: iters left: 2 (196 enodes)
6.762 * * [simplify]: iters left: 1 (356 enodes)
6.937 * * [simplify]: Extracting #0: cost 1 inf + 0
6.937 * * [simplify]: Extracting #1: cost 70 inf + 0
6.938 * * [simplify]: Extracting #2: cost 169 inf + 1
6.938 * * [simplify]: Extracting #3: cost 154 inf + 2658
6.942 * * [simplify]: Extracting #4: cost 86 inf + 31524
6.950 * * [simplify]: Extracting #5: cost 7 inf + 77226
6.958 * * [simplify]: Extracting #6: cost 0 inf + 81813
6.974 * [simplify]: Simplified to (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (sin lambda2) (sin lambda1)))
6.974 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (sin lambda2) (sin lambda1)))))))) R))
6.974 * * * * [progress]: [ 56 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2)))))))) R))>
6.974 * * * * [progress]: [ 57 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2)))))))) R))>
6.975 * * * * [progress]: [ 58 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2)))))))) R))>
6.975 * * * * [progress]: [ 59 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* 1 (* (sin lambda1) (sin lambda2))))))) R))>
6.975 * * * * [progress]: [ 60 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2)))))))) R))>
6.975 * [simplify]: Simplifying (* (sqrt (sin lambda1)) (sqrt (sin lambda2)))
6.975 * * [simplify]: iters left: 4 (7 enodes)
6.978 * * [simplify]: iters left: 3 (22 enodes)
6.983 * * [simplify]: Extracting #0: cost 1 inf + 0
6.983 * * [simplify]: Extracting #1: cost 4 inf + 0
6.983 * * [simplify]: Extracting #2: cost 8 inf + 0
6.983 * * [simplify]: Extracting #3: cost 12 inf + 0
6.984 * * [simplify]: Extracting #4: cost 10 inf + 2
6.984 * * [simplify]: Extracting #5: cost 4 inf + 448
6.984 * * [simplify]: Extracting #6: cost 1 inf + 892
6.984 * * [simplify]: Extracting #7: cost 0 inf + 1134
6.985 * [simplify]: Simplified to (* (sqrt (sin lambda1)) (sqrt (sin lambda2)))
6.985 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2)))))))) R))
6.985 * [simplify]: Simplifying (* (sqrt (sin lambda1)) (sqrt (sin lambda2)))
6.985 * * [simplify]: iters left: 4 (7 enodes)
6.988 * * [simplify]: iters left: 3 (22 enodes)
6.994 * * [simplify]: Extracting #0: cost 1 inf + 0
6.994 * * [simplify]: Extracting #1: cost 4 inf + 0
6.994 * * [simplify]: Extracting #2: cost 8 inf + 0
6.994 * * [simplify]: Extracting #3: cost 12 inf + 0
6.994 * * [simplify]: Extracting #4: cost 10 inf + 2
6.994 * * [simplify]: Extracting #5: cost 4 inf + 448
6.994 * * [simplify]: Extracting #6: cost 1 inf + 892
6.995 * * [simplify]: Extracting #7: cost 0 inf + 1134
6.995 * [simplify]: Simplified to (* (sqrt (sin lambda1)) (sqrt (sin lambda2)))
6.995 * [simplify]: Simplified (2 1 1 2 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2)))))))) R))
6.995 * * * * [progress]: [ 61 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))) R))>
6.996 * [simplify]: Simplifying (cbrt (sin lambda2))
6.996 * * [simplify]: iters left: 2 (3 enodes)
6.997 * * [simplify]: iters left: 1 (9 enodes)
7.000 * * [simplify]: Extracting #0: cost 1 inf + 0
7.000 * * [simplify]: Extracting #1: cost 3 inf + 0
7.000 * * [simplify]: Extracting #2: cost 5 inf + 0
7.000 * * [simplify]: Extracting #3: cost 4 inf + 1
7.000 * * [simplify]: Extracting #4: cost 0 inf + 405
7.000 * [simplify]: Simplified to (cbrt (sin lambda2))
7.000 * [simplify]: Simplified (2 1 1 2 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))) R))
7.000 * * * * [progress]: [ 62 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (sqrt (sin lambda2))) (sqrt (sin lambda2))))))) R))>
7.001 * [simplify]: Simplifying (sqrt (sin lambda2))
7.001 * * [simplify]: iters left: 2 (3 enodes)
7.002 * * [simplify]: iters left: 1 (9 enodes)
7.004 * * [simplify]: Extracting #0: cost 1 inf + 0
7.004 * * [simplify]: Extracting #1: cost 3 inf + 0
7.004 * * [simplify]: Extracting #2: cost 5 inf + 0
7.004 * * [simplify]: Extracting #3: cost 4 inf + 1
7.005 * * [simplify]: Extracting #4: cost 0 inf + 325
7.005 * [simplify]: Simplified to (sqrt (sin lambda2))
7.005 * [simplify]: Simplified (2 1 1 2 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (sqrt (sin lambda2))) (sqrt (sin lambda2))))))) R))
7.005 * * * * [progress]: [ 63 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) 1) (sin lambda2)))))) R))>
7.005 * [simplify]: Simplifying (sin lambda2)
7.005 * * [simplify]: iters left: 1 (2 enodes)
7.006 * * [simplify]: Extracting #0: cost 1 inf + 0
7.006 * * [simplify]: Extracting #1: cost 3 inf + 0
7.006 * * [simplify]: Extracting #2: cost 2 inf + 1
7.006 * * [simplify]: Extracting #3: cost 0 inf + 123
7.006 * [simplify]: Simplified to (sin lambda2)
7.006 * [simplify]: Simplified (2 1 1 2 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) 1) (sin lambda2)))))) R))
7.007 * * * * [progress]: [ 64 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (cbrt (sin lambda1)) (cbrt (sin lambda1))) (* (cbrt (sin lambda1)) (sin lambda2))))))) R))>
7.007 * [simplify]: Simplifying (* (cbrt (sin lambda1)) (cbrt (sin lambda1)))
7.007 * * [simplify]: iters left: 4 (4 enodes)
7.009 * * [simplify]: iters left: 3 (12 enodes)
7.016 * * [simplify]: Extracting #0: cost 1 inf + 0
7.016 * * [simplify]: Extracting #1: cost 3 inf + 0
7.017 * * [simplify]: Extracting #2: cost 5 inf + 0
7.017 * * [simplify]: Extracting #3: cost 7 inf + 0
7.017 * * [simplify]: Extracting #4: cost 6 inf + 1
7.017 * * [simplify]: Extracting #5: cost 0 inf + 767
7.017 * [simplify]: Simplified to (* (cbrt (sin lambda1)) (cbrt (sin lambda1)))
7.017 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (cbrt (sin lambda1)) (cbrt (sin lambda1))) (* (cbrt (sin lambda1)) (sin lambda2))))))) R))
7.017 * * * * [progress]: [ 65 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sqrt (sin lambda1)) (* (sqrt (sin lambda1)) (sin lambda2))))))) R))>
7.018 * [simplify]: Simplifying (sqrt (sin lambda1))
7.018 * * [simplify]: iters left: 2 (3 enodes)
7.019 * * [simplify]: iters left: 1 (9 enodes)
7.021 * * [simplify]: Extracting #0: cost 1 inf + 0
7.021 * * [simplify]: Extracting #1: cost 3 inf + 0
7.021 * * [simplify]: Extracting #2: cost 5 inf + 0
7.022 * * [simplify]: Extracting #3: cost 4 inf + 1
7.022 * * [simplify]: Extracting #4: cost 0 inf + 325
7.022 * [simplify]: Simplified to (sqrt (sin lambda1))
7.022 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sqrt (sin lambda1)) (* (sqrt (sin lambda1)) (sin lambda2))))))) R))
7.022 * * * * [progress]: [ 66 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* 1 (* (sin lambda1) (sin lambda2))))))) R))>
7.022 * * * * [progress]: [ 67 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (posit16->real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))>
7.022 * * * * [progress]: [ 68 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R))>
7.022 * * * * [progress]: [ 69 / 80 ] 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))>
7.023 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
7.023 * * [simplify]: iters left: 6 (22 enodes)
7.032 * * [simplify]: iters left: 5 (84 enodes)
7.058 * * [simplify]: iters left: 4 (141 enodes)
7.103 * * [simplify]: iters left: 3 (241 enodes)
7.160 * * [simplify]: iters left: 2 (280 enodes)
7.233 * * [simplify]: Extracting #0: cost 1 inf + 0
7.233 * * [simplify]: Extracting #1: cost 3 inf + 0
7.233 * * [simplify]: Extracting #2: cost 10 inf + 0
7.233 * * [simplify]: Extracting #3: cost 46 inf + 0
7.233 * * [simplify]: Extracting #4: cost 80 inf + 0
7.234 * * [simplify]: Extracting #5: cost 63 inf + 1504
7.237 * * [simplify]: Extracting #6: cost 22 inf + 9796
7.243 * * [simplify]: Extracting #7: cost 5 inf + 17031
7.251 * * [simplify]: Extracting #8: cost 0 inf + 19888
7.258 * * [simplify]: Extracting #9: cost 0 inf + 19728
7.264 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))
7.264 * [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))
7.265 * * * * [progress]: [ 70 / 80 ] 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))>
7.265 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
7.265 * * [simplify]: iters left: 6 (22 enodes)
7.275 * * [simplify]: iters left: 5 (84 enodes)
7.297 * * [simplify]: iters left: 4 (141 enodes)
7.323 * * [simplify]: iters left: 3 (241 enodes)
7.364 * * [simplify]: iters left: 2 (280 enodes)
7.401 * * [simplify]: Extracting #0: cost 1 inf + 0
7.402 * * [simplify]: Extracting #1: cost 3 inf + 0
7.402 * * [simplify]: Extracting #2: cost 10 inf + 0
7.402 * * [simplify]: Extracting #3: cost 46 inf + 0
7.402 * * [simplify]: Extracting #4: cost 80 inf + 0
7.403 * * [simplify]: Extracting #5: cost 58 inf + 2112
7.405 * * [simplify]: Extracting #6: cost 20 inf + 10221
7.408 * * [simplify]: Extracting #7: cost 2 inf + 18300
7.411 * * [simplify]: Extracting #8: cost 0 inf + 19888
7.415 * * [simplify]: Extracting #9: cost 0 inf + 19728
7.418 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))
7.418 * [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))
7.418 * * * * [progress]: [ 71 / 80 ] 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))>
7.418 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
7.418 * * [simplify]: iters left: 6 (22 enodes)
7.423 * * [simplify]: iters left: 5 (84 enodes)
7.437 * * [simplify]: iters left: 4 (141 enodes)
7.483 * * [simplify]: iters left: 3 (241 enodes)
7.524 * * [simplify]: iters left: 2 (280 enodes)
7.562 * * [simplify]: Extracting #0: cost 1 inf + 0
7.562 * * [simplify]: Extracting #1: cost 3 inf + 0
7.562 * * [simplify]: Extracting #2: cost 10 inf + 0
7.562 * * [simplify]: Extracting #3: cost 46 inf + 0
7.562 * * [simplify]: Extracting #4: cost 80 inf + 0
7.562 * * [simplify]: Extracting #5: cost 63 inf + 1504
7.564 * * [simplify]: Extracting #6: cost 22 inf + 9796
7.567 * * [simplify]: Extracting #7: cost 5 inf + 17031
7.570 * * [simplify]: Extracting #8: cost 0 inf + 19888
7.573 * * [simplify]: Extracting #9: cost 0 inf + 19728
7.577 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))
7.577 * [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))
7.577 * * * * [progress]: [ 72 / 80 ] 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)))))))>
7.577 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
7.577 * * [simplify]: iters left: 6 (24 enodes)
7.583 * * [simplify]: iters left: 5 (91 enodes)
7.598 * * [simplify]: iters left: 4 (148 enodes)
7.626 * * [simplify]: iters left: 3 (248 enodes)
7.668 * * [simplify]: iters left: 2 (295 enodes)
7.722 * * [simplify]: Extracting #0: cost 1 inf + 0
7.722 * * [simplify]: Extracting #1: cost 4 inf + 0
7.722 * * [simplify]: Extracting #2: cost 5 inf + 1
7.722 * * [simplify]: Extracting #3: cost 12 inf + 1
7.722 * * [simplify]: Extracting #4: cost 48 inf + 1
7.722 * * [simplify]: Extracting #5: cost 82 inf + 1
7.723 * * [simplify]: Extracting #6: cost 71 inf + 634
7.725 * * [simplify]: Extracting #7: cost 31 inf + 8806
7.731 * * [simplify]: Extracting #8: cost 5 inf + 18631
7.738 * * [simplify]: Extracting #9: cost 1 inf + 20704
7.742 * * [simplify]: Extracting #10: cost 0 inf + 21559
7.745 * * [simplify]: Extracting #11: cost 0 inf + 21519
7.749 * [simplify]: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))
7.749 * [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)))))))
7.749 * * * * [progress]: [ 73 / 80 ] 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))>
7.749 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R)
7.749 * * [simplify]: iters left: 6 (24 enodes)
7.755 * * [simplify]: iters left: 5 (91 enodes)
7.769 * * [simplify]: iters left: 4 (148 enodes)
7.796 * * [simplify]: iters left: 3 (248 enodes)
7.858 * * [simplify]: iters left: 2 (292 enodes)
7.902 * * [simplify]: Extracting #0: cost 1 inf + 0
7.902 * * [simplify]: Extracting #1: cost 4 inf + 0
7.902 * * [simplify]: Extracting #2: cost 5 inf + 1
7.902 * * [simplify]: Extracting #3: cost 12 inf + 1
7.902 * * [simplify]: Extracting #4: cost 48 inf + 1
7.902 * * [simplify]: Extracting #5: cost 82 inf + 1
7.903 * * [simplify]: Extracting #6: cost 61 inf + 2052
7.904 * * [simplify]: Extracting #7: cost 23 inf + 9919
7.907 * * [simplify]: Extracting #8: cost 4 inf + 18021
7.911 * * [simplify]: Extracting #9: cost 1 inf + 20624
7.914 * * [simplify]: Extracting #10: cost 0 inf + 21519
7.921 * [simplify]: Simplified to (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R)
7.922 * [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))
7.922 * * * * [progress]: [ 74 / 80 ] 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)))))))>
7.922 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
7.922 * * [simplify]: iters left: 6 (24 enodes)
7.933 * * [simplify]: iters left: 5 (91 enodes)
7.959 * * [simplify]: iters left: 4 (148 enodes)
7.994 * * [simplify]: iters left: 3 (248 enodes)
8.035 * * [simplify]: iters left: 2 (295 enodes)
8.098 * * [simplify]: Extracting #0: cost 1 inf + 0
8.098 * * [simplify]: Extracting #1: cost 4 inf + 0
8.098 * * [simplify]: Extracting #2: cost 5 inf + 1
8.098 * * [simplify]: Extracting #3: cost 12 inf + 1
8.098 * * [simplify]: Extracting #4: cost 48 inf + 1
8.099 * * [simplify]: Extracting #5: cost 82 inf + 1
8.099 * * [simplify]: Extracting #6: cost 71 inf + 634
8.100 * * [simplify]: Extracting #7: cost 31 inf + 8806
8.103 * * [simplify]: Extracting #8: cost 5 inf + 18631
8.107 * * [simplify]: Extracting #9: cost 1 inf + 20704
8.110 * * [simplify]: Extracting #10: cost 0 inf + 21559
8.114 * * [simplify]: Extracting #11: cost 0 inf + 21519
8.117 * [simplify]: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))
8.117 * [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)))))))
8.118 * * * * [progress]: [ 75 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* phi1 phi2) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
8.118 * [simplify]: Simplifying (* phi1 phi2)
8.118 * * [simplify]: iters left: 2 (3 enodes)
8.119 * * [simplify]: iters left: 1 (10 enodes)
8.120 * * [simplify]: Extracting #0: cost 1 inf + 0
8.120 * * [simplify]: Extracting #1: cost 4 inf + 0
8.120 * * [simplify]: Extracting #2: cost 2 inf + 2
8.120 * * [simplify]: Extracting #3: cost 0 inf + 86
8.120 * [simplify]: Simplified to (* phi1 phi2)
8.120 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* phi1 phi2) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
8.120 * * * * [progress]: [ 76 / 80 ] 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))>
8.120 * [simplify]: Simplifying (* (sin phi1) (sin phi2))
8.120 * * [simplify]: iters left: 3 (5 enodes)
8.121 * * [simplify]: iters left: 2 (16 enodes)
8.123 * * [simplify]: Extracting #0: cost 1 inf + 0
8.124 * * [simplify]: Extracting #1: cost 4 inf + 0
8.124 * * [simplify]: Extracting #2: cost 8 inf + 0
8.124 * * [simplify]: Extracting #3: cost 4 inf + 124
8.124 * * [simplify]: Extracting #4: cost 0 inf + 570
8.124 * [simplify]: Simplified to (* (sin phi2) (sin phi1))
8.124 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
8.124 * * * * [progress]: [ 77 / 80 ] 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))>
8.124 * [simplify]: Simplifying (* (sin phi1) (sin phi2))
8.124 * * [simplify]: iters left: 3 (5 enodes)
8.125 * * [simplify]: iters left: 2 (16 enodes)
8.128 * * [simplify]: Extracting #0: cost 1 inf + 0
8.128 * * [simplify]: Extracting #1: cost 4 inf + 0
8.128 * * [simplify]: Extracting #2: cost 8 inf + 0
8.128 * * [simplify]: Extracting #3: cost 4 inf + 124
8.128 * * [simplify]: Extracting #4: cost 0 inf + 570
8.128 * [simplify]: Simplified to (* (sin phi2) (sin phi1))
8.128 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
8.128 * * * * [progress]: [ 78 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* lambda2 lambda1))))) R))>
8.128 * [simplify]: Simplifying (* lambda2 lambda1)
8.128 * * [simplify]: iters left: 2 (3 enodes)
8.130 * * [simplify]: iters left: 1 (10 enodes)
8.131 * * [simplify]: Extracting #0: cost 1 inf + 0
8.131 * * [simplify]: Extracting #1: cost 4 inf + 0
8.131 * * [simplify]: Extracting #2: cost 2 inf + 2
8.131 * * [simplify]: Extracting #3: cost 0 inf + 86
8.131 * [simplify]: Simplified to (* lambda2 lambda1)
8.131 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* lambda2 lambda1))))) R))
8.131 * * * * [progress]: [ 79 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R))>
8.132 * [simplify]: Simplifying (* (sin lambda2) (sin lambda1))
8.132 * * [simplify]: iters left: 3 (5 enodes)
8.133 * * [simplify]: iters left: 2 (16 enodes)
8.135 * * [simplify]: Extracting #0: cost 1 inf + 0
8.135 * * [simplify]: Extracting #1: cost 4 inf + 0
8.135 * * [simplify]: Extracting #2: cost 8 inf + 0
8.135 * * [simplify]: Extracting #3: cost 4 inf + 124
8.135 * * [simplify]: Extracting #4: cost 0 inf + 570
8.135 * [simplify]: Simplified to (* (sin lambda1) (sin lambda2))
8.135 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
8.135 * * * * [progress]: [ 80 / 80 ] 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))>
8.136 * [simplify]: Simplifying (* (sin lambda1) (sin lambda2))
8.136 * * [simplify]: iters left: 3 (5 enodes)
8.137 * * [simplify]: iters left: 2 (16 enodes)
8.139 * * [simplify]: Extracting #0: cost 1 inf + 0
8.139 * * [simplify]: Extracting #1: cost 4 inf + 0
8.139 * * [simplify]: Extracting #2: cost 8 inf + 0
8.139 * * [simplify]: Extracting #3: cost 4 inf + 124
8.139 * * [simplify]: Extracting #4: cost 0 inf + 570
8.139 * [simplify]: Simplified to (* (sin lambda2) (sin lambda1))
8.139 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R))
8.139 * * * [progress]: adding candidates to table
9.773 * * [progress]: iteration 3 / 4
9.773 * * * [progress]: picking best candidate
9.907 * * * * [pick]: Picked  #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
9.907 * * * [progress]: localizing error
9.989 * * * [progress]: generating rewritten candidates
9.989 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1)
9.993 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
9.999 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
10.009 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
10.036 * * * [progress]: generating series expansions
10.036 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1)
10.037 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.037 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0
10.037 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
10.037 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.037 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
10.038 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.038 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
10.038 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.038 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
10.038 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.038 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
10.039 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.039 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
10.039 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.039 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
10.039 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.039 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
10.039 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.040 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.040 * [taylor]: Taking taylor expansion of 0 in phi2
10.040 * [backup-simplify]: Simplify 0 into 0
10.040 * [taylor]: Taking taylor expansion of 0 in lambda1
10.040 * [backup-simplify]: Simplify 0 into 0
10.040 * [taylor]: Taking taylor expansion of 0 in lambda2
10.040 * [backup-simplify]: Simplify 0 into 0
10.040 * [backup-simplify]: Simplify 0 into 0
10.040 * [taylor]: Taking taylor expansion of 0 in lambda1
10.040 * [backup-simplify]: Simplify 0 into 0
10.040 * [taylor]: Taking taylor expansion of 0 in lambda2
10.040 * [backup-simplify]: Simplify 0 into 0
10.040 * [backup-simplify]: Simplify 0 into 0
10.040 * [taylor]: Taking taylor expansion of 0 in lambda2
10.040 * [backup-simplify]: Simplify 0 into 0
10.040 * [backup-simplify]: Simplify 0 into 0
10.040 * [backup-simplify]: Simplify 0 into 0
10.040 * [taylor]: Taking taylor expansion of 0 in phi2
10.040 * [backup-simplify]: Simplify 0 into 0
10.040 * [taylor]: Taking taylor expansion of 0 in lambda1
10.040 * [backup-simplify]: Simplify 0 into 0
10.040 * [taylor]: Taking taylor expansion of 0 in lambda2
10.040 * [backup-simplify]: Simplify 0 into 0
10.040 * [backup-simplify]: Simplify 0 into 0
10.040 * [taylor]: Taking taylor expansion of 0 in lambda1
10.040 * [backup-simplify]: Simplify 0 into 0
10.040 * [taylor]: Taking taylor expansion of 0 in lambda2
10.040 * [backup-simplify]: Simplify 0 into 0
10.040 * [backup-simplify]: Simplify 0 into 0
10.041 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.041 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.041 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0
10.041 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
10.041 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.041 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
10.042 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.042 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
10.042 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.042 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
10.043 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.043 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
10.043 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.043 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
10.044 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.044 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
10.044 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.044 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
10.044 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.045 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.045 * [taylor]: Taking taylor expansion of 0 in phi2
10.045 * [backup-simplify]: Simplify 0 into 0
10.045 * [taylor]: Taking taylor expansion of 0 in lambda1
10.045 * [backup-simplify]: Simplify 0 into 0
10.045 * [taylor]: Taking taylor expansion of 0 in lambda2
10.045 * [backup-simplify]: Simplify 0 into 0
10.045 * [backup-simplify]: Simplify 0 into 0
10.045 * [taylor]: Taking taylor expansion of 0 in lambda1
10.045 * [backup-simplify]: Simplify 0 into 0
10.045 * [taylor]: Taking taylor expansion of 0 in lambda2
10.045 * [backup-simplify]: Simplify 0 into 0
10.045 * [backup-simplify]: Simplify 0 into 0
10.045 * [taylor]: Taking taylor expansion of 0 in lambda2
10.045 * [backup-simplify]: Simplify 0 into 0
10.045 * [backup-simplify]: Simplify 0 into 0
10.045 * [backup-simplify]: Simplify 0 into 0
10.045 * [taylor]: Taking taylor expansion of 0 in phi2
10.045 * [backup-simplify]: Simplify 0 into 0
10.045 * [taylor]: Taking taylor expansion of 0 in lambda1
10.045 * [backup-simplify]: Simplify 0 into 0
10.045 * [taylor]: Taking taylor expansion of 0 in lambda2
10.045 * [backup-simplify]: Simplify 0 into 0
10.045 * [backup-simplify]: Simplify 0 into 0
10.045 * [taylor]: Taking taylor expansion of 0 in lambda1
10.045 * [backup-simplify]: Simplify 0 into 0
10.045 * [taylor]: Taking taylor expansion of 0 in lambda2
10.045 * [backup-simplify]: Simplify 0 into 0
10.045 * [backup-simplify]: Simplify 0 into 0
10.046 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
10.046 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
10.046 * [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
10.046 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
10.047 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
10.047 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
10.047 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
10.047 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
10.048 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
10.048 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
10.048 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
10.048 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
10.048 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
10.049 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
10.049 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
10.049 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
10.049 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
10.049 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
10.050 * [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 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))))))))
10.050 * [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))))))))
10.050 * [taylor]: Taking taylor expansion of 0 in phi2
10.050 * [backup-simplify]: Simplify 0 into 0
10.050 * [taylor]: Taking taylor expansion of 0 in lambda1
10.050 * [backup-simplify]: Simplify 0 into 0
10.050 * [taylor]: Taking taylor expansion of 0 in lambda2
10.050 * [backup-simplify]: Simplify 0 into 0
10.050 * [backup-simplify]: Simplify 0 into 0
10.050 * [taylor]: Taking taylor expansion of 0 in lambda1
10.050 * [backup-simplify]: Simplify 0 into 0
10.050 * [taylor]: Taking taylor expansion of 0 in lambda2
10.050 * [backup-simplify]: Simplify 0 into 0
10.051 * [backup-simplify]: Simplify 0 into 0
10.051 * [taylor]: Taking taylor expansion of 0 in lambda2
10.051 * [backup-simplify]: Simplify 0 into 0
10.051 * [backup-simplify]: Simplify 0 into 0
10.051 * [backup-simplify]: Simplify 0 into 0
10.051 * [taylor]: Taking taylor expansion of 0 in phi2
10.051 * [backup-simplify]: Simplify 0 into 0
10.051 * [taylor]: Taking taylor expansion of 0 in lambda1
10.051 * [backup-simplify]: Simplify 0 into 0
10.051 * [taylor]: Taking taylor expansion of 0 in lambda2
10.051 * [backup-simplify]: Simplify 0 into 0
10.051 * [backup-simplify]: Simplify 0 into 0
10.051 * [taylor]: Taking taylor expansion of 0 in lambda1
10.051 * [backup-simplify]: Simplify 0 into 0
10.051 * [taylor]: Taking taylor expansion of 0 in lambda2
10.051 * [backup-simplify]: Simplify 0 into 0
10.051 * [backup-simplify]: Simplify 0 into 0
10.052 * [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)))))
10.052 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
10.052 * [backup-simplify]: Simplify (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
10.052 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0
10.052 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
10.052 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
10.052 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.053 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
10.053 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
10.053 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
10.053 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.053 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
10.053 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2
10.053 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
10.054 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.054 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
10.054 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1
10.054 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
10.054 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.055 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
10.055 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1
10.055 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
10.055 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.055 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
10.055 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2
10.055 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
10.056 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.056 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
10.056 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
10.056 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
10.056 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.057 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
10.057 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
10.057 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
10.057 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.057 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
10.057 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
10.059 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0
10.059 * [taylor]: Taking taylor expansion of 0 in phi2
10.059 * [backup-simplify]: Simplify 0 into 0
10.059 * [taylor]: Taking taylor expansion of 0 in lambda1
10.059 * [backup-simplify]: Simplify 0 into 0
10.059 * [taylor]: Taking taylor expansion of 0 in lambda2
10.059 * [backup-simplify]: Simplify 0 into 0
10.059 * [backup-simplify]: Simplify 0 into 0
10.061 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0
10.061 * [taylor]: Taking taylor expansion of 0 in lambda1
10.061 * [backup-simplify]: Simplify 0 into 0
10.061 * [taylor]: Taking taylor expansion of 0 in lambda2
10.061 * [backup-simplify]: Simplify 0 into 0
10.061 * [backup-simplify]: Simplify 0 into 0
10.062 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0
10.063 * [taylor]: Taking taylor expansion of 0 in lambda2
10.063 * [backup-simplify]: Simplify 0 into 0
10.063 * [backup-simplify]: Simplify 0 into 0
10.064 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0
10.064 * [backup-simplify]: Simplify 0 into 0
10.066 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.066 * [taylor]: Taking taylor expansion of 0 in phi2
10.066 * [backup-simplify]: Simplify 0 into 0
10.066 * [taylor]: Taking taylor expansion of 0 in lambda1
10.066 * [backup-simplify]: Simplify 0 into 0
10.066 * [taylor]: Taking taylor expansion of 0 in lambda2
10.066 * [backup-simplify]: Simplify 0 into 0
10.066 * [backup-simplify]: Simplify 0 into 0
10.066 * [taylor]: Taking taylor expansion of 0 in lambda1
10.066 * [backup-simplify]: Simplify 0 into 0
10.066 * [taylor]: Taking taylor expansion of 0 in lambda2
10.066 * [backup-simplify]: Simplify 0 into 0
10.066 * [backup-simplify]: Simplify 0 into 0
10.067 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
10.068 * [backup-simplify]: Simplify (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
10.068 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in (phi1 phi2 lambda1 lambda2) around 0
10.068 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda2
10.068 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
10.069 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.069 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
10.069 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda1
10.069 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
10.070 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.071 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
10.071 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi2
10.071 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
10.072 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.073 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
10.073 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi1
10.073 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
10.073 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.074 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
10.074 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi1
10.074 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
10.075 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.076 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
10.076 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi2
10.076 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
10.077 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.077 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
10.078 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda1
10.078 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
10.078 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.079 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
10.079 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda2
10.079 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
10.080 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.081 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
10.082 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
10.084 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) (+ (* (/ (pow 0 1) 1)))) into 0
10.084 * [taylor]: Taking taylor expansion of 0 in phi2
10.084 * [backup-simplify]: Simplify 0 into 0
10.084 * [taylor]: Taking taylor expansion of 0 in lambda1
10.084 * [backup-simplify]: Simplify 0 into 0
10.084 * [taylor]: Taking taylor expansion of 0 in lambda2
10.084 * [backup-simplify]: Simplify 0 into 0
10.084 * [backup-simplify]: Simplify 0 into 0
10.086 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) (+ (* (/ (pow 0 1) 1)))) into 0
10.086 * [taylor]: Taking taylor expansion of 0 in lambda1
10.086 * [backup-simplify]: Simplify 0 into 0
10.086 * [taylor]: Taking taylor expansion of 0 in lambda2
10.086 * [backup-simplify]: Simplify 0 into 0
10.086 * [backup-simplify]: Simplify 0 into 0
10.088 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) (+ (* (/ (pow 0 1) 1)))) into 0
10.088 * [taylor]: Taking taylor expansion of 0 in lambda2
10.088 * [backup-simplify]: Simplify 0 into 0
10.088 * [backup-simplify]: Simplify 0 into 0
10.090 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) (+ (* (/ (pow 0 1) 1)))) into 0
10.090 * [backup-simplify]: Simplify 0 into 0
10.092 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.092 * [taylor]: Taking taylor expansion of 0 in phi2
10.092 * [backup-simplify]: Simplify 0 into 0
10.092 * [taylor]: Taking taylor expansion of 0 in lambda1
10.092 * [backup-simplify]: Simplify 0 into 0
10.092 * [taylor]: Taking taylor expansion of 0 in lambda2
10.092 * [backup-simplify]: Simplify 0 into 0
10.092 * [backup-simplify]: Simplify 0 into 0
10.092 * [taylor]: Taking taylor expansion of 0 in lambda1
10.092 * [backup-simplify]: Simplify 0 into 0
10.092 * [taylor]: Taking taylor expansion of 0 in lambda2
10.092 * [backup-simplify]: Simplify 0 into 0
10.092 * [backup-simplify]: Simplify 0 into 0
10.093 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))
10.094 * [backup-simplify]: Simplify (exp (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))))))) into (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)))))))))
10.094 * [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
10.094 * [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
10.094 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
10.095 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
10.096 * [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)))))))))
10.096 * [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
10.096 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
10.097 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
10.098 * [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)))))))))
10.098 * [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
10.098 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
10.099 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
10.100 * [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)))))))))
10.100 * [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
10.100 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
10.101 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
10.101 * [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)))))))))
10.101 * [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
10.101 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
10.102 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
10.103 * [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)))))))))
10.103 * [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
10.103 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
10.104 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
10.105 * [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)))))))))
10.105 * [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
10.105 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
10.106 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
10.107 * [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)))))))))
10.107 * [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
10.107 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
10.108 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
10.109 * [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)))))))))
10.110 * [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)))))))))
10.112 * [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
10.112 * [taylor]: Taking taylor expansion of 0 in phi2
10.112 * [backup-simplify]: Simplify 0 into 0
10.112 * [taylor]: Taking taylor expansion of 0 in lambda1
10.112 * [backup-simplify]: Simplify 0 into 0
10.112 * [taylor]: Taking taylor expansion of 0 in lambda2
10.112 * [backup-simplify]: Simplify 0 into 0
10.112 * [backup-simplify]: Simplify 0 into 0
10.114 * [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
10.114 * [taylor]: Taking taylor expansion of 0 in lambda1
10.114 * [backup-simplify]: Simplify 0 into 0
10.114 * [taylor]: Taking taylor expansion of 0 in lambda2
10.114 * [backup-simplify]: Simplify 0 into 0
10.114 * [backup-simplify]: Simplify 0 into 0
10.115 * [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
10.115 * [taylor]: Taking taylor expansion of 0 in lambda2
10.116 * [backup-simplify]: Simplify 0 into 0
10.116 * [backup-simplify]: Simplify 0 into 0
10.117 * [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
10.117 * [backup-simplify]: Simplify 0 into 0
10.120 * [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
10.120 * [taylor]: Taking taylor expansion of 0 in phi2
10.120 * [backup-simplify]: Simplify 0 into 0
10.120 * [taylor]: Taking taylor expansion of 0 in lambda1
10.120 * [backup-simplify]: Simplify 0 into 0
10.120 * [taylor]: Taking taylor expansion of 0 in lambda2
10.120 * [backup-simplify]: Simplify 0 into 0
10.120 * [backup-simplify]: Simplify 0 into 0
10.120 * [taylor]: Taking taylor expansion of 0 in lambda1
10.120 * [backup-simplify]: Simplify 0 into 0
10.120 * [taylor]: Taking taylor expansion of 0 in lambda2
10.120 * [backup-simplify]: Simplify 0 into 0
10.120 * [backup-simplify]: Simplify 0 into 0
10.121 * [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))))))
10.121 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
10.122 * [backup-simplify]: Simplify (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.122 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0
10.122 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
10.122 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.122 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
10.123 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.123 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
10.124 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.124 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
10.124 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.124 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
10.125 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.125 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
10.125 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.125 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
10.126 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.126 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
10.126 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.127 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.127 * [taylor]: Taking taylor expansion of 0 in phi2
10.127 * [backup-simplify]: Simplify 0 into 0
10.127 * [taylor]: Taking taylor expansion of 0 in lambda1
10.127 * [backup-simplify]: Simplify 0 into 0
10.127 * [taylor]: Taking taylor expansion of 0 in lambda2
10.127 * [backup-simplify]: Simplify 0 into 0
10.127 * [backup-simplify]: Simplify 0 into 0
10.127 * [taylor]: Taking taylor expansion of 0 in lambda1
10.127 * [backup-simplify]: Simplify 0 into 0
10.127 * [taylor]: Taking taylor expansion of 0 in lambda2
10.127 * [backup-simplify]: Simplify 0 into 0
10.127 * [backup-simplify]: Simplify 0 into 0
10.128 * [taylor]: Taking taylor expansion of 0 in lambda2
10.128 * [backup-simplify]: Simplify 0 into 0
10.128 * [backup-simplify]: Simplify 0 into 0
10.128 * [backup-simplify]: Simplify 0 into 0
10.128 * [taylor]: Taking taylor expansion of 0 in phi2
10.128 * [backup-simplify]: Simplify 0 into 0
10.128 * [taylor]: Taking taylor expansion of 0 in lambda1
10.128 * [backup-simplify]: Simplify 0 into 0
10.128 * [taylor]: Taking taylor expansion of 0 in lambda2
10.128 * [backup-simplify]: Simplify 0 into 0
10.128 * [backup-simplify]: Simplify 0 into 0
10.128 * [taylor]: Taking taylor expansion of 0 in lambda1
10.128 * [backup-simplify]: Simplify 0 into 0
10.128 * [taylor]: Taking taylor expansion of 0 in lambda2
10.128 * [backup-simplify]: Simplify 0 into 0
10.128 * [backup-simplify]: Simplify 0 into 0
10.128 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.129 * [backup-simplify]: Simplify (log (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.129 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0
10.129 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
10.134 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.134 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
10.134 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.135 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
10.135 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.135 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
10.135 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.135 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
10.136 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.136 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
10.136 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.136 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
10.137 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.137 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
10.137 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.137 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.138 * [taylor]: Taking taylor expansion of 0 in phi2
10.138 * [backup-simplify]: Simplify 0 into 0
10.138 * [taylor]: Taking taylor expansion of 0 in lambda1
10.138 * [backup-simplify]: Simplify 0 into 0
10.138 * [taylor]: Taking taylor expansion of 0 in lambda2
10.138 * [backup-simplify]: Simplify 0 into 0
10.138 * [backup-simplify]: Simplify 0 into 0
10.138 * [taylor]: Taking taylor expansion of 0 in lambda1
10.138 * [backup-simplify]: Simplify 0 into 0
10.138 * [taylor]: Taking taylor expansion of 0 in lambda2
10.138 * [backup-simplify]: Simplify 0 into 0
10.138 * [backup-simplify]: Simplify 0 into 0
10.138 * [taylor]: Taking taylor expansion of 0 in lambda2
10.138 * [backup-simplify]: Simplify 0 into 0
10.138 * [backup-simplify]: Simplify 0 into 0
10.138 * [backup-simplify]: Simplify 0 into 0
10.138 * [taylor]: Taking taylor expansion of 0 in phi2
10.138 * [backup-simplify]: Simplify 0 into 0
10.138 * [taylor]: Taking taylor expansion of 0 in lambda1
10.138 * [backup-simplify]: Simplify 0 into 0
10.138 * [taylor]: Taking taylor expansion of 0 in lambda2
10.138 * [backup-simplify]: Simplify 0 into 0
10.138 * [backup-simplify]: Simplify 0 into 0
10.138 * [taylor]: Taking taylor expansion of 0 in lambda1
10.138 * [backup-simplify]: Simplify 0 into 0
10.138 * [taylor]: Taking taylor expansion of 0 in lambda2
10.138 * [backup-simplify]: Simplify 0 into 0
10.138 * [backup-simplify]: Simplify 0 into 0
10.139 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
10.139 * [backup-simplify]: Simplify (log (exp (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
10.139 * [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
10.139 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
10.139 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
10.139 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
10.140 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
10.140 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
10.140 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
10.140 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
10.141 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
10.141 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
10.141 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
10.141 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
10.142 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
10.142 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
10.142 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
10.142 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
10.142 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
10.143 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
10.143 * [taylor]: Taking taylor expansion of 0 in phi2
10.143 * [backup-simplify]: Simplify 0 into 0
10.143 * [taylor]: Taking taylor expansion of 0 in lambda1
10.143 * [backup-simplify]: Simplify 0 into 0
10.143 * [taylor]: Taking taylor expansion of 0 in lambda2
10.143 * [backup-simplify]: Simplify 0 into 0
10.143 * [backup-simplify]: Simplify 0 into 0
10.143 * [taylor]: Taking taylor expansion of 0 in lambda1
10.143 * [backup-simplify]: Simplify 0 into 0
10.143 * [taylor]: Taking taylor expansion of 0 in lambda2
10.143 * [backup-simplify]: Simplify 0 into 0
10.143 * [backup-simplify]: Simplify 0 into 0
10.143 * [taylor]: Taking taylor expansion of 0 in lambda2
10.143 * [backup-simplify]: Simplify 0 into 0
10.143 * [backup-simplify]: Simplify 0 into 0
10.143 * [backup-simplify]: Simplify 0 into 0
10.143 * [taylor]: Taking taylor expansion of 0 in phi2
10.143 * [backup-simplify]: Simplify 0 into 0
10.143 * [taylor]: Taking taylor expansion of 0 in lambda1
10.143 * [backup-simplify]: Simplify 0 into 0
10.143 * [taylor]: Taking taylor expansion of 0 in lambda2
10.143 * [backup-simplify]: Simplify 0 into 0
10.143 * [backup-simplify]: Simplify 0 into 0
10.143 * [taylor]: Taking taylor expansion of 0 in lambda1
10.143 * [backup-simplify]: Simplify 0 into 0
10.143 * [taylor]: Taking taylor expansion of 0 in lambda2
10.143 * [backup-simplify]: Simplify 0 into 0
10.143 * [backup-simplify]: Simplify 0 into 0
10.144 * [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)))))
10.144 * * * * [progress]: [ 4 / 4 ] generating series at (2)
10.144 * [backup-simplify]: Simplify (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
10.144 * [approximate]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in (phi1 phi2 lambda1 lambda2 R) around 0
10.144 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R
10.144 * [taylor]: Taking taylor expansion of R in R
10.144 * [backup-simplify]: Simplify 0 into 0
10.144 * [backup-simplify]: Simplify 1 into 1
10.144 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R
10.145 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.145 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
10.145 * [taylor]: Taking taylor expansion of R in lambda2
10.145 * [backup-simplify]: Simplify R into R
10.145 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
10.145 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.145 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
10.145 * [taylor]: Taking taylor expansion of R in lambda1
10.145 * [backup-simplify]: Simplify R into R
10.145 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
10.145 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.145 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2
10.145 * [taylor]: Taking taylor expansion of R in phi2
10.145 * [backup-simplify]: Simplify R into R
10.145 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
10.146 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.146 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1
10.146 * [taylor]: Taking taylor expansion of R in phi1
10.146 * [backup-simplify]: Simplify R into R
10.146 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
10.146 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.146 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1
10.146 * [taylor]: Taking taylor expansion of R in phi1
10.146 * [backup-simplify]: Simplify R into R
10.146 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
10.146 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.147 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
10.147 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2
10.147 * [taylor]: Taking taylor expansion of R in phi2
10.147 * [backup-simplify]: Simplify R into R
10.147 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
10.147 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.147 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
10.147 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
10.147 * [taylor]: Taking taylor expansion of R in lambda1
10.147 * [backup-simplify]: Simplify R into R
10.147 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
10.148 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.148 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
10.148 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
10.148 * [taylor]: Taking taylor expansion of R in lambda2
10.148 * [backup-simplify]: Simplify R into R
10.148 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
10.149 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.149 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
10.149 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R
10.149 * [taylor]: Taking taylor expansion of R in R
10.149 * [backup-simplify]: Simplify 0 into 0
10.149 * [backup-simplify]: Simplify 1 into 1
10.149 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R
10.149 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.150 * [backup-simplify]: Simplify (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into 0
10.150 * [backup-simplify]: Simplify 0 into 0
10.150 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
10.150 * [taylor]: Taking taylor expansion of 0 in phi2
10.150 * [backup-simplify]: Simplify 0 into 0
10.150 * [taylor]: Taking taylor expansion of 0 in lambda1
10.150 * [backup-simplify]: Simplify 0 into 0
10.150 * [taylor]: Taking taylor expansion of 0 in lambda2
10.150 * [backup-simplify]: Simplify 0 into 0
10.150 * [taylor]: Taking taylor expansion of 0 in R
10.150 * [backup-simplify]: Simplify 0 into 0
10.150 * [backup-simplify]: Simplify 0 into 0
10.150 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
10.151 * [taylor]: Taking taylor expansion of 0 in lambda1
10.151 * [backup-simplify]: Simplify 0 into 0
10.151 * [taylor]: Taking taylor expansion of 0 in lambda2
10.151 * [backup-simplify]: Simplify 0 into 0
10.151 * [taylor]: Taking taylor expansion of 0 in R
10.151 * [backup-simplify]: Simplify 0 into 0
10.151 * [backup-simplify]: Simplify 0 into 0
10.151 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
10.151 * [taylor]: Taking taylor expansion of 0 in lambda2
10.151 * [backup-simplify]: Simplify 0 into 0
10.151 * [taylor]: Taking taylor expansion of 0 in R
10.151 * [backup-simplify]: Simplify 0 into 0
10.151 * [backup-simplify]: Simplify 0 into 0
10.151 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
10.151 * [taylor]: Taking taylor expansion of 0 in R
10.151 * [backup-simplify]: Simplify 0 into 0
10.151 * [backup-simplify]: Simplify 0 into 0
10.152 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.153 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.153 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0
10.153 * [taylor]: Taking taylor expansion of 0 in phi2
10.153 * [backup-simplify]: Simplify 0 into 0
10.153 * [taylor]: Taking taylor expansion of 0 in lambda1
10.153 * [backup-simplify]: Simplify 0 into 0
10.153 * [taylor]: Taking taylor expansion of 0 in lambda2
10.153 * [backup-simplify]: Simplify 0 into 0
10.153 * [taylor]: Taking taylor expansion of 0 in R
10.153 * [backup-simplify]: Simplify 0 into 0
10.153 * [backup-simplify]: Simplify 0 into 0
10.153 * [taylor]: Taking taylor expansion of 0 in lambda1
10.153 * [backup-simplify]: Simplify 0 into 0
10.153 * [taylor]: Taking taylor expansion of 0 in lambda2
10.153 * [backup-simplify]: Simplify 0 into 0
10.153 * [taylor]: Taking taylor expansion of 0 in R
10.153 * [backup-simplify]: Simplify 0 into 0
10.154 * [backup-simplify]: Simplify 0 into 0
10.154 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0
10.154 * [taylor]: Taking taylor expansion of 0 in lambda1
10.154 * [backup-simplify]: Simplify 0 into 0
10.154 * [taylor]: Taking taylor expansion of 0 in lambda2
10.154 * [backup-simplify]: Simplify 0 into 0
10.154 * [taylor]: Taking taylor expansion of 0 in R
10.154 * [backup-simplify]: Simplify 0 into 0
10.154 * [backup-simplify]: Simplify 0 into 0
10.154 * [taylor]: Taking taylor expansion of 0 in lambda2
10.154 * [backup-simplify]: Simplify 0 into 0
10.154 * [taylor]: Taking taylor expansion of 0 in R
10.154 * [backup-simplify]: Simplify 0 into 0
10.154 * [backup-simplify]: Simplify 0 into 0
10.154 * [taylor]: Taking taylor expansion of 0 in lambda2
10.154 * [backup-simplify]: Simplify 0 into 0
10.154 * [taylor]: Taking taylor expansion of 0 in R
10.154 * [backup-simplify]: Simplify 0 into 0
10.154 * [backup-simplify]: Simplify 0 into 0
10.155 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0
10.155 * [taylor]: Taking taylor expansion of 0 in lambda2
10.155 * [backup-simplify]: Simplify 0 into 0
10.155 * [taylor]: Taking taylor expansion of 0 in R
10.155 * [backup-simplify]: Simplify 0 into 0
10.155 * [backup-simplify]: Simplify 0 into 0
10.156 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* R (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
10.156 * [backup-simplify]: Simplify (* (log (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))))) (/ 1 R)) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
10.156 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
10.156 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R
10.156 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R
10.157 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.157 * [taylor]: Taking taylor expansion of R in R
10.157 * [backup-simplify]: Simplify 0 into 0
10.157 * [backup-simplify]: Simplify 1 into 1
10.157 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.157 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2
10.157 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
10.158 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.158 * [taylor]: Taking taylor expansion of R in lambda2
10.158 * [backup-simplify]: Simplify R into R
10.158 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
10.158 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1
10.158 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
10.159 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.159 * [taylor]: Taking taylor expansion of R in lambda1
10.159 * [backup-simplify]: Simplify R into R
10.159 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
10.159 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2
10.159 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
10.159 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.159 * [taylor]: Taking taylor expansion of R in phi2
10.160 * [backup-simplify]: Simplify R into R
10.160 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
10.160 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1
10.160 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
10.160 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.160 * [taylor]: Taking taylor expansion of R in phi1
10.160 * [backup-simplify]: Simplify R into R
10.161 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
10.161 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1
10.161 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
10.161 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.161 * [taylor]: Taking taylor expansion of R in phi1
10.161 * [backup-simplify]: Simplify R into R
10.162 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
10.162 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2
10.162 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
10.162 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.162 * [taylor]: Taking taylor expansion of R in phi2
10.162 * [backup-simplify]: Simplify R into R
10.163 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
10.163 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1
10.163 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
10.163 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.163 * [taylor]: Taking taylor expansion of R in lambda1
10.163 * [backup-simplify]: Simplify R into R
10.163 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
10.164 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2
10.164 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
10.164 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.164 * [taylor]: Taking taylor expansion of R in lambda2
10.164 * [backup-simplify]: Simplify R into R
10.164 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
10.164 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R
10.164 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R
10.165 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.165 * [taylor]: Taking taylor expansion of R in R
10.165 * [backup-simplify]: Simplify 0 into 0
10.165 * [backup-simplify]: Simplify 1 into 1
10.165 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.166 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.167 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
10.167 * [taylor]: Taking taylor expansion of 0 in phi2
10.167 * [backup-simplify]: Simplify 0 into 0
10.167 * [taylor]: Taking taylor expansion of 0 in lambda1
10.167 * [backup-simplify]: Simplify 0 into 0
10.167 * [taylor]: Taking taylor expansion of 0 in lambda2
10.167 * [backup-simplify]: Simplify 0 into 0
10.167 * [taylor]: Taking taylor expansion of 0 in R
10.167 * [backup-simplify]: Simplify 0 into 0
10.168 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
10.168 * [taylor]: Taking taylor expansion of 0 in lambda1
10.168 * [backup-simplify]: Simplify 0 into 0
10.168 * [taylor]: Taking taylor expansion of 0 in lambda2
10.168 * [backup-simplify]: Simplify 0 into 0
10.168 * [taylor]: Taking taylor expansion of 0 in R
10.168 * [backup-simplify]: Simplify 0 into 0
10.169 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
10.169 * [taylor]: Taking taylor expansion of 0 in lambda2
10.169 * [backup-simplify]: Simplify 0 into 0
10.169 * [taylor]: Taking taylor expansion of 0 in R
10.169 * [backup-simplify]: Simplify 0 into 0
10.170 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
10.170 * [taylor]: Taking taylor expansion of 0 in R
10.170 * [backup-simplify]: Simplify 0 into 0
10.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)))) into 0
10.172 * [backup-simplify]: Simplify 0 into 0
10.173 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
10.173 * [taylor]: Taking taylor expansion of 0 in phi2
10.173 * [backup-simplify]: Simplify 0 into 0
10.173 * [taylor]: Taking taylor expansion of 0 in lambda1
10.173 * [backup-simplify]: Simplify 0 into 0
10.173 * [taylor]: Taking taylor expansion of 0 in lambda2
10.173 * [backup-simplify]: Simplify 0 into 0
10.173 * [taylor]: Taking taylor expansion of 0 in R
10.173 * [backup-simplify]: Simplify 0 into 0
10.173 * [taylor]: Taking taylor expansion of 0 in lambda1
10.173 * [backup-simplify]: Simplify 0 into 0
10.174 * [taylor]: Taking taylor expansion of 0 in lambda2
10.174 * [backup-simplify]: Simplify 0 into 0
10.174 * [taylor]: Taking taylor expansion of 0 in R
10.174 * [backup-simplify]: Simplify 0 into 0
10.175 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
10.175 * [taylor]: Taking taylor expansion of 0 in lambda1
10.175 * [backup-simplify]: Simplify 0 into 0
10.175 * [taylor]: Taking taylor expansion of 0 in lambda2
10.175 * [backup-simplify]: Simplify 0 into 0
10.175 * [taylor]: Taking taylor expansion of 0 in R
10.175 * [backup-simplify]: Simplify 0 into 0
10.175 * [taylor]: Taking taylor expansion of 0 in lambda2
10.175 * [backup-simplify]: Simplify 0 into 0
10.175 * [taylor]: Taking taylor expansion of 0 in R
10.175 * [backup-simplify]: Simplify 0 into 0
10.175 * [taylor]: Taking taylor expansion of 0 in lambda2
10.175 * [backup-simplify]: Simplify 0 into 0
10.175 * [taylor]: Taking taylor expansion of 0 in R
10.175 * [backup-simplify]: Simplify 0 into 0
10.176 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
10.176 * [taylor]: Taking taylor expansion of 0 in lambda2
10.176 * [backup-simplify]: Simplify 0 into 0
10.176 * [taylor]: Taking taylor expansion of 0 in R
10.176 * [backup-simplify]: Simplify 0 into 0
10.176 * [taylor]: Taking taylor expansion of 0 in R
10.176 * [backup-simplify]: Simplify 0 into 0
10.176 * [taylor]: Taking taylor expansion of 0 in R
10.176 * [backup-simplify]: Simplify 0 into 0
10.176 * [taylor]: Taking taylor expansion of 0 in R
10.176 * [backup-simplify]: Simplify 0 into 0
10.177 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
10.177 * [taylor]: Taking taylor expansion of 0 in R
10.177 * [backup-simplify]: Simplify 0 into 0
10.177 * [backup-simplify]: Simplify 0 into 0
10.177 * [backup-simplify]: Simplify 0 into 0
10.177 * [backup-simplify]: Simplify 0 into 0
10.178 * [backup-simplify]: Simplify 0 into 0
10.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.180 * [backup-simplify]: Simplify 0 into 0
10.181 * [backup-simplify]: Simplify (* (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R)
10.182 * [backup-simplify]: Simplify (* (log (exp (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))))) (/ 1 (- R))) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))
10.182 * [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
10.183 * [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
10.183 * [taylor]: Taking taylor expansion of -1 in R
10.183 * [backup-simplify]: Simplify -1 into -1
10.183 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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
10.183 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
10.183 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
10.183 * [taylor]: Taking taylor expansion of R in R
10.184 * [backup-simplify]: Simplify 0 into 0
10.184 * [backup-simplify]: Simplify 1 into 1
10.184 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
10.184 * [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
10.184 * [taylor]: Taking taylor expansion of -1 in lambda2
10.184 * [backup-simplify]: Simplify -1 into -1
10.184 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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
10.185 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
10.185 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
10.185 * [taylor]: Taking taylor expansion of R in lambda2
10.185 * [backup-simplify]: Simplify R into R
10.186 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)
10.186 * [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
10.187 * [taylor]: Taking taylor expansion of -1 in lambda1
10.187 * [backup-simplify]: Simplify -1 into -1
10.187 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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
10.187 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
10.187 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
10.187 * [taylor]: Taking taylor expansion of R in lambda1
10.187 * [backup-simplify]: Simplify R into R
10.188 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)
10.188 * [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
10.188 * [taylor]: Taking taylor expansion of -1 in phi2
10.188 * [backup-simplify]: Simplify -1 into -1
10.188 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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
10.188 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
10.189 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
10.189 * [taylor]: Taking taylor expansion of R in phi2
10.189 * [backup-simplify]: Simplify R into R
10.190 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)
10.190 * [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
10.190 * [taylor]: Taking taylor expansion of -1 in phi1
10.190 * [backup-simplify]: Simplify -1 into -1
10.190 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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
10.190 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
10.191 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
10.191 * [taylor]: Taking taylor expansion of R in phi1
10.191 * [backup-simplify]: Simplify R into R
10.192 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)
10.192 * [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
10.192 * [taylor]: Taking taylor expansion of -1 in phi1
10.192 * [backup-simplify]: Simplify -1 into -1
10.192 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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
10.192 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
10.193 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
10.193 * [taylor]: Taking taylor expansion of R in phi1
10.193 * [backup-simplify]: Simplify R into R
10.194 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)
10.195 * [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))
10.195 * [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
10.195 * [taylor]: Taking taylor expansion of -1 in phi2
10.195 * [backup-simplify]: Simplify -1 into -1
10.195 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
10.195 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
10.196 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
10.196 * [taylor]: Taking taylor expansion of R in phi2
10.196 * [backup-simplify]: Simplify R into R
10.197 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)
10.197 * [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))
10.197 * [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
10.197 * [taylor]: Taking taylor expansion of -1 in lambda1
10.198 * [backup-simplify]: Simplify -1 into -1
10.198 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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
10.198 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
10.198 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
10.198 * [taylor]: Taking taylor expansion of R in lambda1
10.198 * [backup-simplify]: Simplify R into R
10.199 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)
10.199 * [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))
10.199 * [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
10.199 * [taylor]: Taking taylor expansion of -1 in lambda2
10.199 * [backup-simplify]: Simplify -1 into -1
10.199 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
10.199 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
10.200 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
10.200 * [taylor]: Taking taylor expansion of R in lambda2
10.200 * [backup-simplify]: Simplify R into R
10.200 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)
10.201 * [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))
10.201 * [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
10.201 * [taylor]: Taking taylor expansion of -1 in R
10.201 * [backup-simplify]: Simplify -1 into -1
10.201 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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
10.201 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
10.201 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
10.201 * [taylor]: Taking taylor expansion of R in R
10.201 * [backup-simplify]: Simplify 0 into 0
10.201 * [backup-simplify]: Simplify 1 into 1
10.202 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
10.202 * [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)))))))))
10.202 * [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)))))))))
10.203 * [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
10.204 * [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
10.204 * [taylor]: Taking taylor expansion of 0 in phi2
10.204 * [backup-simplify]: Simplify 0 into 0
10.204 * [taylor]: Taking taylor expansion of 0 in lambda1
10.204 * [backup-simplify]: Simplify 0 into 0
10.204 * [taylor]: Taking taylor expansion of 0 in lambda2
10.204 * [backup-simplify]: Simplify 0 into 0
10.204 * [taylor]: Taking taylor expansion of 0 in R
10.204 * [backup-simplify]: Simplify 0 into 0
10.205 * [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
10.205 * [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
10.205 * [taylor]: Taking taylor expansion of 0 in lambda1
10.206 * [backup-simplify]: Simplify 0 into 0
10.206 * [taylor]: Taking taylor expansion of 0 in lambda2
10.206 * [backup-simplify]: Simplify 0 into 0
10.206 * [taylor]: Taking taylor expansion of 0 in R
10.206 * [backup-simplify]: Simplify 0 into 0
10.206 * [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
10.207 * [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
10.207 * [taylor]: Taking taylor expansion of 0 in lambda2
10.207 * [backup-simplify]: Simplify 0 into 0
10.207 * [taylor]: Taking taylor expansion of 0 in R
10.207 * [backup-simplify]: Simplify 0 into 0
10.207 * [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
10.208 * [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
10.208 * [taylor]: Taking taylor expansion of 0 in R
10.208 * [backup-simplify]: Simplify 0 into 0
10.209 * [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
10.210 * [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
10.210 * [backup-simplify]: Simplify 0 into 0
10.211 * [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
10.212 * [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
10.212 * [taylor]: Taking taylor expansion of 0 in phi2
10.212 * [backup-simplify]: Simplify 0 into 0
10.212 * [taylor]: Taking taylor expansion of 0 in lambda1
10.212 * [backup-simplify]: Simplify 0 into 0
10.212 * [taylor]: Taking taylor expansion of 0 in lambda2
10.212 * [backup-simplify]: Simplify 0 into 0
10.212 * [taylor]: Taking taylor expansion of 0 in R
10.212 * [backup-simplify]: Simplify 0 into 0
10.212 * [taylor]: Taking taylor expansion of 0 in lambda1
10.212 * [backup-simplify]: Simplify 0 into 0
10.212 * [taylor]: Taking taylor expansion of 0 in lambda2
10.212 * [backup-simplify]: Simplify 0 into 0
10.212 * [taylor]: Taking taylor expansion of 0 in R
10.212 * [backup-simplify]: Simplify 0 into 0
10.212 * [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
10.214 * [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
10.214 * [taylor]: Taking taylor expansion of 0 in lambda1
10.214 * [backup-simplify]: Simplify 0 into 0
10.214 * [taylor]: Taking taylor expansion of 0 in lambda2
10.214 * [backup-simplify]: Simplify 0 into 0
10.214 * [taylor]: Taking taylor expansion of 0 in R
10.214 * [backup-simplify]: Simplify 0 into 0
10.214 * [taylor]: Taking taylor expansion of 0 in lambda2
10.214 * [backup-simplify]: Simplify 0 into 0
10.214 * [taylor]: Taking taylor expansion of 0 in R
10.214 * [backup-simplify]: Simplify 0 into 0
10.214 * [taylor]: Taking taylor expansion of 0 in lambda2
10.214 * [backup-simplify]: Simplify 0 into 0
10.214 * [taylor]: Taking taylor expansion of 0 in R
10.214 * [backup-simplify]: Simplify 0 into 0
10.214 * [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
10.215 * [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
10.215 * [taylor]: Taking taylor expansion of 0 in lambda2
10.215 * [backup-simplify]: Simplify 0 into 0
10.215 * [taylor]: Taking taylor expansion of 0 in R
10.215 * [backup-simplify]: Simplify 0 into 0
10.215 * [taylor]: Taking taylor expansion of 0 in R
10.215 * [backup-simplify]: Simplify 0 into 0
10.215 * [taylor]: Taking taylor expansion of 0 in R
10.215 * [backup-simplify]: Simplify 0 into 0
10.215 * [taylor]: Taking taylor expansion of 0 in R
10.215 * [backup-simplify]: Simplify 0 into 0
10.216 * [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
10.217 * [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
10.217 * [taylor]: Taking taylor expansion of 0 in R
10.217 * [backup-simplify]: Simplify 0 into 0
10.217 * [backup-simplify]: Simplify 0 into 0
10.217 * [backup-simplify]: Simplify 0 into 0
10.217 * [backup-simplify]: Simplify 0 into 0
10.217 * [backup-simplify]: Simplify 0 into 0
10.219 * [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
10.221 * [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
10.221 * [backup-simplify]: Simplify 0 into 0
10.222 * [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))))))
10.223 * * * [progress]: simplifying candidates
10.223 * * * * [progress]: [ 1 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))>
10.223 * * * * [progress]: [ 2 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1))) R))>
10.223 * * * * [progress]: [ 3 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
10.223 * * * * [progress]: [ 4 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
10.223 * * * * [progress]: [ 5 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
10.223 * * * * [progress]: [ 6 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (cbrt (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
10.223 * * * * [progress]: [ 7 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
10.223 * * * * [progress]: [ 8 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (* 1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))>
10.223 * * * * [progress]: [ 9 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (posit16->real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
10.223 * * * * [progress]: [ 10 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 1)) R))>
10.223 * * * * [progress]: [ 11 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))>
10.223 * [simplify]: Simplifying (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
10.223 * * [simplify]: iters left: 6 (23 enodes)
10.228 * * [simplify]: iters left: 5 (86 enodes)
10.248 * * [simplify]: iters left: 4 (154 enodes)
10.277 * * [simplify]: iters left: 3 (275 enodes)
10.348 * * [simplify]: iters left: 2 (391 enodes)
10.431 * * [simplify]: iters left: 1 (447 enodes)
10.505 * * [simplify]: Extracting #0: cost 1 inf + 0
10.505 * * [simplify]: Extracting #1: cost 15 inf + 0
10.506 * * [simplify]: Extracting #2: cost 53 inf + 1
10.506 * * [simplify]: Extracting #3: cost 69 inf + 4
10.506 * * [simplify]: Extracting #4: cost 77 inf + 5
10.507 * * [simplify]: Extracting #5: cost 113 inf + 5
10.507 * * [simplify]: Extracting #6: cost 147 inf + 5
10.509 * * [simplify]: Extracting #7: cost 126 inf + 1652
10.512 * * [simplify]: Extracting #8: cost 90 inf + 10500
10.519 * * [simplify]: Extracting #9: cost 71 inf + 16798
10.528 * * [simplify]: Extracting #10: cost 58 inf + 29614
10.547 * * [simplify]: Extracting #11: cost 31 inf + 58318
10.569 * * [simplify]: Extracting #12: cost 8 inf + 89894
10.587 * * [simplify]: Extracting #13: cost 0 inf + 102935
10.612 * [simplify]: Simplified to (exp (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))))))))
10.612 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))
10.613 * * * * [progress]: [ 12 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))>
10.613 * [simplify]: Simplifying (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
10.613 * * [simplify]: iters left: 6 (22 enodes)
10.617 * * [simplify]: iters left: 5 (81 enodes)
10.633 * * [simplify]: iters left: 4 (143 enodes)
10.670 * * [simplify]: iters left: 3 (253 enodes)
10.730 * * [simplify]: iters left: 2 (345 enodes)
10.830 * * [simplify]: Extracting #0: cost 1 inf + 0
10.830 * * [simplify]: Extracting #1: cost 3 inf + 0
10.830 * * [simplify]: Extracting #2: cost 5 inf + 0
10.831 * * [simplify]: Extracting #3: cost 7 inf + 0
10.831 * * [simplify]: Extracting #4: cost 14 inf + 0
10.831 * * [simplify]: Extracting #5: cost 50 inf + 0
10.831 * * [simplify]: Extracting #6: cost 84 inf + 0
10.832 * * [simplify]: Extracting #7: cost 73 inf + 431
10.833 * * [simplify]: Extracting #8: cost 49 inf + 4014
10.838 * * [simplify]: Extracting #9: cost 11 inf + 15602
10.845 * * [simplify]: Extracting #10: cost 2 inf + 21516
10.853 * * [simplify]: Extracting #11: cost 1 inf + 22480
10.861 * * [simplify]: Extracting #12: cost 0 inf + 23444
10.869 * [simplify]: Simplified to (exp (sqrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))))
10.870 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (sqrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))
10.870 * * * * [progress]: [ 13 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp 1) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
10.870 * [simplify]: Simplifying (exp 1)
10.870 * * [simplify]: iters left: 1 (2 enodes)
10.872 * * [simplify]: Extracting #0: cost 1 inf + 0
10.872 * * [simplify]: Extracting #1: cost 0 inf + 1
10.872 * [simplify]: Simplified to E
10.872 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow E (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))
10.873 * * * * [progress]: [ 14 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (/ (exp (/ PI 2)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))>
10.873 * [simplify]: Simplifying (exp (/ PI 2))
10.873 * * [simplify]: iters left: 3 (4 enodes)
10.875 * * [simplify]: iters left: 2 (14 enodes)
10.880 * * [simplify]: iters left: 1 (16 enodes)
10.884 * * [simplify]: Extracting #0: cost 1 inf + 0
10.884 * * [simplify]: Extracting #1: cost 4 inf + 0
10.884 * * [simplify]: Extracting #2: cost 8 inf + 0
10.884 * * [simplify]: Extracting #3: cost 6 inf + 2
10.885 * * [simplify]: Extracting #4: cost 0 inf + 452
10.885 * * [simplify]: Extracting #5: cost 0 inf + 450
10.885 * [simplify]: Simplified to (sqrt (exp PI))
10.885 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))
10.885 * * * * [progress]: [ 15 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
10.886 * [simplify]: Simplifying (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
10.886 * * [simplify]: iters left: 6 (20 enodes)
10.895 * * [simplify]: iters left: 5 (75 enodes)
10.913 * * [simplify]: iters left: 4 (137 enodes)
10.940 * * [simplify]: iters left: 3 (246 enodes)
10.991 * * [simplify]: iters left: 2 (338 enodes)
11.073 * * [simplify]: Extracting #0: cost 1 inf + 0
11.073 * * [simplify]: Extracting #1: cost 3 inf + 0
11.073 * * [simplify]: Extracting #2: cost 10 inf + 0
11.074 * * [simplify]: Extracting #3: cost 46 inf + 0
11.074 * * [simplify]: Extracting #4: cost 80 inf + 0
11.075 * * [simplify]: Extracting #5: cost 68 inf + 593
11.076 * * [simplify]: Extracting #6: cost 51 inf + 2539
11.079 * * [simplify]: Extracting #7: cost 17 inf + 10869
11.085 * * [simplify]: Extracting #8: cost 3 inf + 17616
11.092 * * [simplify]: Extracting #9: cost 0 inf + 19888
11.099 * * [simplify]: Extracting #10: cost 0 inf + 19728
11.105 * [simplify]: Simplified to (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (cos phi1))))
11.105 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (cos phi1)))))) R))
11.106 * * * * [progress]: [ 16 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
11.106 * * * * [progress]: [ 17 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (log (exp (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
11.106 * * * * [progress]: [ 18 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
11.106 * * * * [progress]: [ 19 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (cbrt (* (* (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
11.106 * * * * [progress]: [ 20 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
11.106 * * * * [progress]: [ 21 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* 1 (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))>
11.106 * * * * [progress]: [ 22 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (posit16->real (real->posit16 (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
11.106 * * * * [progress]: [ 23 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (log (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
11.107 * [simplify]: Simplifying (log (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))
11.107 * * [simplify]: iters left: 6 (24 enodes)
11.117 * * [simplify]: iters left: 5 (89 enodes)
11.147 * * [simplify]: iters left: 4 (153 enodes)
11.201 * * [simplify]: iters left: 3 (261 enodes)
11.268 * * [simplify]: iters left: 2 (361 enodes)
11.346 * * [simplify]: Extracting #0: cost 1 inf + 0
11.346 * * [simplify]: Extracting #1: cost 4 inf + 0
11.346 * * [simplify]: Extracting #2: cost 7 inf + 0
11.346 * * [simplify]: Extracting #3: cost 9 inf + 0
11.346 * * [simplify]: Extracting #4: cost 11 inf + 0
11.346 * * [simplify]: Extracting #5: cost 13 inf + 0
11.346 * * [simplify]: Extracting #6: cost 20 inf + 0
11.346 * * [simplify]: Extracting #7: cost 56 inf + 0
11.346 * * [simplify]: Extracting #8: cost 90 inf + 0
11.347 * * [simplify]: Extracting #9: cost 78 inf + 593
11.347 * * [simplify]: Extracting #10: cost 55 inf + 4214
11.350 * * [simplify]: Extracting #11: cost 18 inf + 14939
11.353 * * [simplify]: Extracting #12: cost 12 inf + 18020
11.356 * * [simplify]: Extracting #13: cost 8 inf + 21576
11.361 * * [simplify]: Extracting #14: cost 4 inf + 25742
11.365 * * [simplify]: Extracting #15: cost 1 inf + 28934
11.370 * * [simplify]: Extracting #16: cost 0 inf + 30048
11.375 * [simplify]: Simplified to (log (* (cbrt (exp (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) (cbrt (exp (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))))))
11.375 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (+ (log (* (cbrt (exp (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) (cbrt (exp (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))))) (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))
11.376 * * * * [progress]: [ 24 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
11.376 * [simplify]: Simplifying (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
11.376 * * [simplify]: iters left: 6 (23 enodes)
11.386 * * [simplify]: iters left: 5 (84 enodes)
11.405 * * [simplify]: iters left: 4 (146 enodes)
11.439 * * [simplify]: iters left: 3 (255 enodes)
11.494 * * [simplify]: iters left: 2 (355 enodes)
11.571 * * [simplify]: Extracting #0: cost 1 inf + 0
11.571 * * [simplify]: Extracting #1: cost 3 inf + 0
11.571 * * [simplify]: Extracting #2: cost 5 inf + 0
11.571 * * [simplify]: Extracting #3: cost 7 inf + 0
11.571 * * [simplify]: Extracting #4: cost 9 inf + 0
11.571 * * [simplify]: Extracting #5: cost 16 inf + 0
11.571 * * [simplify]: Extracting #6: cost 52 inf + 0
11.572 * * [simplify]: Extracting #7: cost 86 inf + 0
11.573 * * [simplify]: Extracting #8: cost 68 inf + 1666
11.575 * * [simplify]: Extracting #9: cost 38 inf + 7307
11.580 * * [simplify]: Extracting #10: cost 9 inf + 17656
11.587 * * [simplify]: Extracting #11: cost 2 inf + 23614
11.595 * * [simplify]: Extracting #12: cost 0 inf + 25572
11.599 * [simplify]: Simplified to (log (sqrt (exp (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))))
11.599 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (+ (log (sqrt (exp (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))
11.600 * * * * [progress]: [ 25 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (log 1) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))>
11.600 * [simplify]: Simplifying (log 1)
11.600 * * [simplify]: iters left: 1 (2 enodes)
11.602 * * [simplify]: Extracting #0: cost 1 inf + 0
11.602 * * [simplify]: Extracting #1: cost 0 inf + 1
11.602 * [simplify]: Simplified to 0
11.602 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (+ 0 (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))
11.602 * * * * [progress]: [ 26 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (log (exp (/ PI 2))) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))>
11.602 * [simplify]: Simplifying (log (exp (/ PI 2)))
11.602 * * [simplify]: iters left: 4 (5 enodes)
11.603 * * [simplify]: iters left: 3 (15 enodes)
11.606 * * [simplify]: iters left: 2 (17 enodes)
11.608 * * [simplify]: Extracting #0: cost 1 inf + 0
11.608 * * [simplify]: Extracting #1: cost 5 inf + 0
11.608 * * [simplify]: Extracting #2: cost 5 inf + 2
11.608 * * [simplify]: Extracting #3: cost 3 inf + 157
11.608 * * [simplify]: Extracting #4: cost 0 inf + 450
11.608 * [simplify]: Simplified to (/ PI 2)
11.608 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))
11.609 * * * * [progress]: [ 27 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* 1 (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))>
11.609 * * * * [progress]: [ 28 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) R))>
11.609 * [simplify]: Simplifying (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
11.609 * * [simplify]: iters left: 6 (21 enodes)
11.613 * * [simplify]: iters left: 5 (78 enodes)
11.626 * * [simplify]: iters left: 4 (140 enodes)
11.665 * * [simplify]: iters left: 3 (250 enodes)
11.733 * * [simplify]: iters left: 2 (351 enodes)
11.807 * * [simplify]: Extracting #0: cost 1 inf + 0
11.807 * * [simplify]: Extracting #1: cost 3 inf + 0
11.807 * * [simplify]: Extracting #2: cost 5 inf + 0
11.808 * * [simplify]: Extracting #3: cost 12 inf + 0
11.808 * * [simplify]: Extracting #4: cost 48 inf + 0
11.808 * * [simplify]: Extracting #5: cost 82 inf + 0
11.808 * * [simplify]: Extracting #6: cost 64 inf + 1161
11.809 * * [simplify]: Extracting #7: cost 33 inf + 7871
11.812 * * [simplify]: Extracting #8: cost 7 inf + 16730
11.816 * * [simplify]: Extracting #9: cost 1 inf + 20662
11.819 * * [simplify]: Extracting #10: cost 0 inf + 21596
11.823 * [simplify]: Simplified to (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))))
11.823 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))))))) (log (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) R))
11.823 * * * * [progress]: [ 29 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
11.823 * [simplify]: Simplifying (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
11.823 * * [simplify]: iters left: 6 (21 enodes)
11.828 * * [simplify]: iters left: 5 (78 enodes)
11.851 * * [simplify]: iters left: 4 (140 enodes)
11.885 * * [simplify]: iters left: 3 (250 enodes)
11.972 * * [simplify]: iters left: 2 (351 enodes)
12.078 * * [simplify]: Extracting #0: cost 1 inf + 0
12.079 * * [simplify]: Extracting #1: cost 3 inf + 0
12.079 * * [simplify]: Extracting #2: cost 5 inf + 0
12.079 * * [simplify]: Extracting #3: cost 12 inf + 0
12.079 * * [simplify]: Extracting #4: cost 48 inf + 0
12.079 * * [simplify]: Extracting #5: cost 82 inf + 0
12.080 * * [simplify]: Extracting #6: cost 64 inf + 1161
12.082 * * [simplify]: Extracting #7: cost 33 inf + 7871
12.089 * * [simplify]: Extracting #8: cost 7 inf + 16730
12.097 * * [simplify]: Extracting #9: cost 1 inf + 20622
12.104 * * [simplify]: Extracting #10: cost 0 inf + 21516
12.111 * [simplify]: Simplified to (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))))
12.111 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))))))) (log (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))
12.112 * * * * [progress]: [ 30 / 74 ] 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)))))) (log (exp 1))) R))>
12.112 * [simplify]: Simplifying (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
12.112 * * [simplify]: iters left: 6 (20 enodes)
12.121 * * [simplify]: iters left: 5 (75 enodes)
12.144 * * [simplify]: iters left: 4 (137 enodes)
12.188 * * [simplify]: iters left: 3 (246 enodes)
12.253 * * [simplify]: iters left: 2 (338 enodes)
12.323 * * [simplify]: Extracting #0: cost 1 inf + 0
12.323 * * [simplify]: Extracting #1: cost 3 inf + 0
12.323 * * [simplify]: Extracting #2: cost 10 inf + 0
12.323 * * [simplify]: Extracting #3: cost 46 inf + 0
12.324 * * [simplify]: Extracting #4: cost 80 inf + 0
12.324 * * [simplify]: Extracting #5: cost 68 inf + 593
12.324 * * [simplify]: Extracting #6: cost 51 inf + 2539
12.326 * * [simplify]: Extracting #7: cost 17 inf + 10869
12.329 * * [simplify]: Extracting #8: cost 3 inf + 17616
12.333 * * [simplify]: Extracting #9: cost 0 inf + 19888
12.338 * * [simplify]: Extracting #10: cost 0 inf + 19728
12.346 * [simplify]: Simplified to (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (cos phi1))))
12.346 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (cos phi1)))) (log (exp 1))) R))
12.346 * * * * [progress]: [ 31 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (pow (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) 1) R))>
12.346 * * * * [progress]: [ 32 / 74 ] 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))>
12.347 * [simplify]: Simplifying (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))
12.347 * * [simplify]: iters left: 6 (19 enodes)
12.356 * * [simplify]: iters left: 5 (72 enodes)
12.373 * * [simplify]: iters left: 4 (134 enodes)
12.406 * * [simplify]: iters left: 3 (244 enodes)
12.468 * * [simplify]: iters left: 2 (345 enodes)
12.539 * * [simplify]: Extracting #0: cost 1 inf + 0
12.539 * * [simplify]: Extracting #1: cost 8 inf + 0
12.540 * * [simplify]: Extracting #2: cost 44 inf + 0
12.540 * * [simplify]: Extracting #3: cost 78 inf + 0
12.541 * * [simplify]: Extracting #4: cost 68 inf + 370
12.542 * * [simplify]: Extracting #5: cost 39 inf + 4660
12.547 * * [simplify]: Extracting #6: cost 9 inf + 13348
12.553 * * [simplify]: Extracting #7: cost 0 inf + 18020
12.559 * [simplify]: Simplified to (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))
12.559 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) R))
12.559 * * * * [progress]: [ 33 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
12.560 * * * * [progress]: [ 34 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
12.560 * * * * [progress]: [ 35 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
12.560 * * * * [progress]: [ 36 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
12.560 * * * * [progress]: [ 37 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
12.560 * * * * [progress]: [ 38 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* 1 (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))>
12.560 * * * * [progress]: [ 39 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (posit16->real (real->posit16 (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
12.560 * * * * [progress]: [ 40 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) 1))>
12.560 * [simplify]: Simplifying (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)
12.561 * * [simplify]: iters left: 6 (24 enodes)
12.571 * * [simplify]: iters left: 5 (86 enodes)
12.600 * * [simplify]: iters left: 4 (148 enodes)
12.652 * * [simplify]: iters left: 3 (259 enodes)
12.727 * * [simplify]: iters left: 2 (360 enodes)
12.824 * * [simplify]: Extracting #0: cost 1 inf + 0
12.824 * * [simplify]: Extracting #1: cost 4 inf + 0
12.824 * * [simplify]: Extracting #2: cost 6 inf + 1
12.824 * * [simplify]: Extracting #3: cost 14 inf + 1
12.825 * * [simplify]: Extracting #4: cost 50 inf + 1
12.825 * * [simplify]: Extracting #5: cost 84 inf + 1
12.826 * * [simplify]: Extracting #6: cost 70 inf + 817
12.828 * * [simplify]: Extracting #7: cost 39 inf + 7224
12.834 * * [simplify]: Extracting #8: cost 7 inf + 19953
12.842 * * [simplify]: Extracting #9: cost 1 inf + 22523
12.849 * * [simplify]: Extracting #10: cost 0 inf + 23407
12.858 * * [simplify]: Extracting #11: cost 0 inf + 23367
12.865 * [simplify]: Simplified to (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) R)
12.866 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) R) 1))
12.866 * * * * [progress]: [ 41 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) 1))>
12.866 * * * * [progress]: [ 42 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log R))))>
12.866 * [simplify]: Simplifying (+ (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log R))
12.867 * * [simplify]: iters left: 6 (26 enodes)
12.878 * * [simplify]: iters left: 5 (92 enodes)
12.905 * * [simplify]: iters left: 4 (154 enodes)
12.935 * * [simplify]: iters left: 3 (262 enodes)
12.986 * * [simplify]: iters left: 2 (362 enodes)
13.065 * * [simplify]: Extracting #0: cost 1 inf + 0
13.065 * * [simplify]: Extracting #1: cost 4 inf + 0
13.065 * * [simplify]: Extracting #2: cost 8 inf + 0
13.065 * * [simplify]: Extracting #3: cost 8 inf + 143
13.065 * * [simplify]: Extracting #4: cost 16 inf + 143
13.065 * * [simplify]: Extracting #5: cost 52 inf + 143
13.066 * * [simplify]: Extracting #6: cost 86 inf + 143
13.067 * * [simplify]: Extracting #7: cost 70 inf + 1081
13.069 * * [simplify]: Extracting #8: cost 40 inf + 6341
13.074 * * [simplify]: Extracting #9: cost 13 inf + 15345
13.082 * * [simplify]: Extracting #10: cost 2 inf + 23678
13.091 * * [simplify]: Extracting #11: cost 0 inf + 25637
13.099 * [simplify]: Simplified to (+ (log R) (log (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))))
13.099 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log R) (log (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))))))
13.099 * * * * [progress]: [ 43 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))))>
13.100 * * * * [progress]: [ 44 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (log (exp (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))))>
13.100 * * * * [progress]: [ 45 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (* R R) R))))>
13.100 * [simplify]: Simplifying (* (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (* R R) R))
13.100 * * [simplify]: iters left: 6 (28 enodes)
13.113 * * [simplify]: iters left: 5 (104 enodes)
13.147 * * [simplify]: iters left: 4 (195 enodes)
13.208 * * [simplify]: iters left: 3 (361 enodes)
13.311 * * [simplify]: Extracting #0: cost 1 inf + 0
13.311 * * [simplify]: Extracting #1: cost 28 inf + 0
13.311 * * [simplify]: Extracting #2: cost 56 inf + 1
13.312 * * [simplify]: Extracting #3: cost 62 inf + 44
13.313 * * [simplify]: Extracting #4: cost 114 inf + 884
13.314 * * [simplify]: Extracting #5: cost 148 inf + 884
13.315 * * [simplify]: Extracting #6: cost 131 inf + 1883
13.318 * * [simplify]: Extracting #7: cost 94 inf + 9889
13.327 * * [simplify]: Extracting #8: cost 42 inf + 37442
13.338 * * [simplify]: Extracting #9: cost 9 inf + 69428
13.352 * * [simplify]: Extracting #10: cost 0 inf + 78434
13.378 * * [simplify]: Extracting #11: cost 0 inf + 78274
13.402 * [simplify]: Simplified to (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R) (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R)))
13.402 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R) (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R)))))
13.403 * * * * [progress]: [ 46 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))))>
13.403 * * * * [progress]: [ 47 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))))>
13.403 * * * * [progress]: [ 48 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (sqrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))))>
13.403 * * * * [progress]: [ 49 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)))>
13.403 * * * * [progress]: [ 50 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R))))>
13.403 * [simplify]: Simplifying (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R))
13.403 * * [simplify]: iters left: 6 (26 enodes)
13.409 * * [simplify]: iters left: 5 (92 enodes)
13.426 * * [simplify]: iters left: 4 (154 enodes)
13.474 * * [simplify]: iters left: 3 (262 enodes)
13.552 * * [simplify]: iters left: 2 (362 enodes)
13.621 * * [simplify]: Extracting #0: cost 1 inf + 0
13.621 * * [simplify]: Extracting #1: cost 4 inf + 0
13.621 * * [simplify]: Extracting #2: cost 8 inf + 0
13.622 * * [simplify]: Extracting #3: cost 8 inf + 83
13.622 * * [simplify]: Extracting #4: cost 16 inf + 83
13.622 * * [simplify]: Extracting #5: cost 52 inf + 83
13.622 * * [simplify]: Extracting #6: cost 86 inf + 83
13.623 * * [simplify]: Extracting #7: cost 70 inf + 1021
13.623 * * [simplify]: Extracting #8: cost 40 inf + 6281
13.626 * * [simplify]: Extracting #9: cost 13 inf + 15285
13.630 * * [simplify]: Extracting #10: cost 2 inf + 23528
13.634 * * [simplify]: Extracting #11: cost 0 inf + 25397
13.638 * [simplify]: Simplified to (* (sqrt R) (sqrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))))
13.638 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt R) (sqrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R))))
13.638 * [simplify]: Simplifying (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R))
13.638 * * [simplify]: iters left: 6 (26 enodes)
13.644 * * [simplify]: iters left: 5 (92 enodes)
13.661 * * [simplify]: iters left: 4 (154 enodes)
13.694 * * [simplify]: iters left: 3 (262 enodes)
13.760 * * [simplify]: iters left: 2 (362 enodes)
13.842 * * [simplify]: Extracting #0: cost 1 inf + 0
13.842 * * [simplify]: Extracting #1: cost 4 inf + 0
13.842 * * [simplify]: Extracting #2: cost 8 inf + 0
13.842 * * [simplify]: Extracting #3: cost 8 inf + 83
13.842 * * [simplify]: Extracting #4: cost 16 inf + 83
13.842 * * [simplify]: Extracting #5: cost 52 inf + 83
13.843 * * [simplify]: Extracting #6: cost 86 inf + 83
13.844 * * [simplify]: Extracting #7: cost 70 inf + 1021
13.846 * * [simplify]: Extracting #8: cost 40 inf + 6281
13.851 * * [simplify]: Extracting #9: cost 13 inf + 15285
13.859 * * [simplify]: Extracting #10: cost 2 inf + 23528
13.867 * * [simplify]: Extracting #11: cost 0 inf + 25397
13.876 * [simplify]: Simplified to (* (sqrt R) (sqrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))))
13.876 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (sqrt R) (sqrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))))))
13.876 * * * * [progress]: [ 51 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt R) (cbrt R))) (cbrt R)))>
13.877 * [simplify]: Simplifying (cbrt R)
13.877 * * [simplify]: iters left: 1 (2 enodes)
13.877 * * [simplify]: Extracting #0: cost 1 inf + 0
13.878 * * [simplify]: Extracting #1: cost 3 inf + 0
13.878 * * [simplify]: Extracting #2: cost 2 inf + 1
13.878 * * [simplify]: Extracting #3: cost 0 inf + 163
13.878 * [simplify]: Simplified to (cbrt R)
13.878 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt R) (cbrt R))) (cbrt R)))
13.878 * * * * [progress]: [ 52 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (sqrt R)))>
13.878 * [simplify]: Simplifying (sqrt R)
13.878 * * [simplify]: iters left: 1 (2 enodes)
13.879 * * [simplify]: Extracting #0: cost 1 inf + 0
13.879 * * [simplify]: Extracting #1: cost 3 inf + 0
13.879 * * [simplify]: Extracting #2: cost 2 inf + 1
13.879 * * [simplify]: Extracting #3: cost 0 inf + 83
13.879 * [simplify]: Simplified to (sqrt R)
13.879 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (sqrt R)))
13.880 * * * * [progress]: [ 53 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) 1) R))>
13.880 * * * * [progress]: [ 54 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)))>
13.880 * * * * [progress]: [ 55 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (log (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R)))>
13.880 * [simplify]: Simplifying (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
13.880 * * [simplify]: iters left: 6 (21 enodes)
13.890 * * [simplify]: iters left: 5 (78 enodes)
13.915 * * [simplify]: iters left: 4 (140 enodes)
13.944 * * [simplify]: iters left: 3 (250 enodes)
14.030 * * [simplify]: iters left: 2 (351 enodes)
14.118 * * [simplify]: Extracting #0: cost 1 inf + 0
14.118 * * [simplify]: Extracting #1: cost 3 inf + 0
14.118 * * [simplify]: Extracting #2: cost 5 inf + 0
14.118 * * [simplify]: Extracting #3: cost 12 inf + 0
14.118 * * [simplify]: Extracting #4: cost 48 inf + 0
14.119 * * [simplify]: Extracting #5: cost 82 inf + 0
14.119 * * [simplify]: Extracting #6: cost 64 inf + 1161
14.122 * * [simplify]: Extracting #7: cost 33 inf + 7871
14.127 * * [simplify]: Extracting #8: cost 7 inf + 16730
14.132 * * [simplify]: Extracting #9: cost 1 inf + 20662
14.136 * * [simplify]: Extracting #10: cost 0 inf + 21596
14.139 * [simplify]: Simplified to (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))))
14.139 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))))))) (* (log (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R)))
14.140 * * * * [progress]: [ 56 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (log (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R)))>
14.140 * [simplify]: Simplifying (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
14.140 * * [simplify]: iters left: 6 (21 enodes)
14.144 * * [simplify]: iters left: 5 (78 enodes)
14.157 * * [simplify]: iters left: 4 (140 enodes)
14.203 * * [simplify]: iters left: 3 (250 enodes)
14.270 * * [simplify]: iters left: 2 (351 enodes)
14.339 * * [simplify]: Extracting #0: cost 1 inf + 0
14.339 * * [simplify]: Extracting #1: cost 3 inf + 0
14.339 * * [simplify]: Extracting #2: cost 5 inf + 0
14.339 * * [simplify]: Extracting #3: cost 12 inf + 0
14.339 * * [simplify]: Extracting #4: cost 48 inf + 0
14.339 * * [simplify]: Extracting #5: cost 82 inf + 0
14.340 * * [simplify]: Extracting #6: cost 64 inf + 1161
14.341 * * [simplify]: Extracting #7: cost 33 inf + 7871
14.345 * * [simplify]: Extracting #8: cost 7 inf + 16730
14.351 * * [simplify]: Extracting #9: cost 1 inf + 20622
14.355 * * [simplify]: Extracting #10: cost 0 inf + 21516
14.358 * [simplify]: Simplified to (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))))
14.358 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))))))) (* (log (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R)))
14.358 * * * * [progress]: [ 57 / 74 ] 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)))))) (* (log (exp 1)) R)))>
14.359 * [simplify]: Simplifying (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
14.359 * * [simplify]: iters left: 6 (20 enodes)
14.364 * * [simplify]: iters left: 5 (75 enodes)
14.376 * * [simplify]: iters left: 4 (137 enodes)
14.412 * * [simplify]: iters left: 3 (246 enodes)
14.477 * * [simplify]: iters left: 2 (338 enodes)
14.545 * * [simplify]: Extracting #0: cost 1 inf + 0
14.545 * * [simplify]: Extracting #1: cost 3 inf + 0
14.545 * * [simplify]: Extracting #2: cost 10 inf + 0
14.546 * * [simplify]: Extracting #3: cost 46 inf + 0
14.546 * * [simplify]: Extracting #4: cost 80 inf + 0
14.547 * * [simplify]: Extracting #5: cost 68 inf + 593
14.548 * * [simplify]: Extracting #6: cost 51 inf + 2539
14.551 * * [simplify]: Extracting #7: cost 17 inf + 10869
14.557 * * [simplify]: Extracting #8: cost 3 inf + 17616
14.561 * * [simplify]: Extracting #9: cost 0 inf + 19888
14.564 * * [simplify]: Extracting #10: cost 0 inf + 19728
14.568 * [simplify]: Simplified to (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (cos phi1))))
14.568 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (cos phi1)))) (* (log (exp 1)) R)))
14.568 * * * * [progress]: [ 58 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R)))>
14.568 * [simplify]: Simplifying (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))
14.568 * * [simplify]: iters left: 6 (24 enodes)
14.573 * * [simplify]: iters left: 5 (85 enodes)
14.587 * * [simplify]: iters left: 4 (147 enodes)
14.635 * * [simplify]: iters left: 3 (257 enodes)
14.723 * * [simplify]: iters left: 2 (352 enodes)
14.795 * * [simplify]: Extracting #0: cost 1 inf + 0
14.795 * * [simplify]: Extracting #1: cost 3 inf + 0
14.795 * * [simplify]: Extracting #2: cost 5 inf + 0
14.795 * * [simplify]: Extracting #3: cost 8 inf + 0
14.795 * * [simplify]: Extracting #4: cost 16 inf + 0
14.795 * * [simplify]: Extracting #5: cost 52 inf + 0
14.796 * * [simplify]: Extracting #6: cost 86 inf + 0
14.797 * * [simplify]: Extracting #7: cost 72 inf + 816
14.798 * * [simplify]: Extracting #8: cost 49 inf + 4439
14.803 * * [simplify]: Extracting #9: cost 15 inf + 13973
14.811 * * [simplify]: Extracting #10: cost 4 inf + 21586
14.818 * * [simplify]: Extracting #11: cost 1 inf + 24418
14.826 * * [simplify]: Extracting #12: cost 0 inf + 25392
14.835 * [simplify]: Simplified to (* (cbrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi2) (sin phi1))))))
14.835 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi2) (sin phi1)))))) (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R)))
14.835 * * * * [progress]: [ 59 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R)))>
14.836 * [simplify]: Simplifying (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
14.836 * * [simplify]: iters left: 6 (23 enodes)
14.842 * * [simplify]: iters left: 5 (82 enodes)
14.856 * * [simplify]: iters left: 4 (144 enodes)
14.890 * * [simplify]: iters left: 3 (254 enodes)
14.951 * * [simplify]: iters left: 2 (354 enodes)
15.050 * * [simplify]: Extracting #0: cost 1 inf + 0
15.050 * * [simplify]: Extracting #1: cost 3 inf + 0
15.050 * * [simplify]: Extracting #2: cost 6 inf + 0
15.050 * * [simplify]: Extracting #3: cost 14 inf + 0
15.050 * * [simplify]: Extracting #4: cost 50 inf + 0
15.050 * * [simplify]: Extracting #5: cost 84 inf + 0
15.051 * * [simplify]: Extracting #6: cost 73 inf + 431
15.051 * * [simplify]: Extracting #7: cost 53 inf + 3166
15.053 * * [simplify]: Extracting #8: cost 19 inf + 12279
15.056 * * [simplify]: Extracting #9: cost 4 inf + 20439
15.060 * * [simplify]: Extracting #10: cost 1 inf + 22520
15.064 * * [simplify]: Extracting #11: cost 0 inf + 23404
15.069 * * [simplify]: Extracting #12: cost 0 inf + 23364
15.077 * [simplify]: Simplified to (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))))
15.077 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))))))) (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R)))
15.078 * * * * [progress]: [ 60 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)))>
15.078 * * * * [progress]: [ 61 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (posit16->real (real->posit16 (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))))>
15.078 * * * * [progress]: [ 62 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))>
15.078 * * * * [progress]: [ 63 / 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))>
15.078 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
15.078 * * [simplify]: iters left: 6 (22 enodes)
15.088 * * [simplify]: iters left: 5 (84 enodes)
15.114 * * [simplify]: iters left: 4 (141 enodes)
15.150 * * [simplify]: iters left: 3 (241 enodes)
15.221 * * [simplify]: iters left: 2 (280 enodes)
15.265 * * [simplify]: Extracting #0: cost 1 inf + 0
15.265 * * [simplify]: Extracting #1: cost 3 inf + 0
15.265 * * [simplify]: Extracting #2: cost 10 inf + 0
15.266 * * [simplify]: Extracting #3: cost 46 inf + 0
15.266 * * [simplify]: Extracting #4: cost 80 inf + 0
15.266 * * [simplify]: Extracting #5: cost 63 inf + 1504
15.268 * * [simplify]: Extracting #6: cost 22 inf + 9796
15.271 * * [simplify]: Extracting #7: cost 5 inf + 17031
15.278 * * [simplify]: Extracting #8: cost 0 inf + 19888
15.285 * * [simplify]: Extracting #9: cost 0 inf + 19728
15.291 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))
15.291 * [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))
15.292 * * * * [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))>
15.292 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
15.292 * * [simplify]: iters left: 6 (22 enodes)
15.300 * * [simplify]: iters left: 5 (84 enodes)
15.313 * * [simplify]: iters left: 4 (141 enodes)
15.340 * * [simplify]: iters left: 3 (241 enodes)
15.382 * * [simplify]: iters left: 2 (280 enodes)
15.439 * * [simplify]: Extracting #0: cost 1 inf + 0
15.439 * * [simplify]: Extracting #1: cost 3 inf + 0
15.440 * * [simplify]: Extracting #2: cost 10 inf + 0
15.440 * * [simplify]: Extracting #3: cost 46 inf + 0
15.440 * * [simplify]: Extracting #4: cost 80 inf + 0
15.441 * * [simplify]: Extracting #5: cost 58 inf + 2112
15.444 * * [simplify]: Extracting #6: cost 20 inf + 10221
15.450 * * [simplify]: Extracting #7: cost 2 inf + 18300
15.457 * * [simplify]: Extracting #8: cost 0 inf + 19888
15.463 * * [simplify]: Extracting #9: cost 0 inf + 19728
15.470 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))
15.470 * [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))
15.471 * * * * [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))>
15.471 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
15.471 * * [simplify]: iters left: 6 (22 enodes)
15.481 * * [simplify]: iters left: 5 (84 enodes)
15.507 * * [simplify]: iters left: 4 (141 enodes)
15.535 * * [simplify]: iters left: 3 (241 enodes)
15.601 * * [simplify]: iters left: 2 (280 enodes)
15.640 * * [simplify]: Extracting #0: cost 1 inf + 0
15.640 * * [simplify]: Extracting #1: cost 3 inf + 0
15.640 * * [simplify]: Extracting #2: cost 10 inf + 0
15.641 * * [simplify]: Extracting #3: cost 46 inf + 0
15.641 * * [simplify]: Extracting #4: cost 80 inf + 0
15.641 * * [simplify]: Extracting #5: cost 63 inf + 1504
15.643 * * [simplify]: Extracting #6: cost 22 inf + 9796
15.645 * * [simplify]: Extracting #7: cost 5 inf + 17031
15.649 * * [simplify]: Extracting #8: cost 0 inf + 19888
15.652 * * [simplify]: Extracting #9: cost 0 inf + 19728
15.655 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))
15.655 * [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))
15.655 * * * * [progress]: [ 66 / 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))>
15.656 * [simplify]: Simplifying (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
15.656 * * [simplify]: iters left: 6 (23 enodes)
15.661 * * [simplify]: iters left: 5 (87 enodes)
15.674 * * [simplify]: iters left: 4 (144 enodes)
15.702 * * [simplify]: iters left: 3 (245 enodes)
15.747 * * [simplify]: iters left: 2 (290 enodes)
15.805 * * [simplify]: Extracting #0: cost 1 inf + 0
15.805 * * [simplify]: Extracting #1: cost 3 inf + 0
15.805 * * [simplify]: Extracting #2: cost 5 inf + 0
15.805 * * [simplify]: Extracting #3: cost 12 inf + 0
15.805 * * [simplify]: Extracting #4: cost 48 inf + 0
15.805 * * [simplify]: Extracting #5: cost 82 inf + 0
15.806 * * [simplify]: Extracting #6: cost 68 inf + 917
15.807 * * [simplify]: Extracting #7: cost 37 inf + 6545
15.810 * * [simplify]: Extracting #8: cost 6 inf + 17113
15.813 * * [simplify]: Extracting #9: cost 2 inf + 19838
15.816 * * [simplify]: Extracting #10: cost 0 inf + 21576
15.820 * [simplify]: Simplified to (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
15.820 * [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))
15.820 * * * * [progress]: [ 67 / 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))>
15.820 * [simplify]: Simplifying (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))
15.820 * * [simplify]: iters left: 6 (23 enodes)
15.829 * * [simplify]: iters left: 5 (87 enodes)
15.849 * * [simplify]: iters left: 4 (144 enodes)
15.881 * * [simplify]: iters left: 3 (245 enodes)
16.319 * * [simplify]: iters left: 2 (290 enodes)
16.368 * * [simplify]: Extracting #0: cost 1 inf + 0
16.368 * * [simplify]: Extracting #1: cost 3 inf + 0
16.368 * * [simplify]: Extracting #2: cost 5 inf + 0
16.368 * * [simplify]: Extracting #3: cost 12 inf + 0
16.368 * * [simplify]: Extracting #4: cost 48 inf + 0
16.368 * * [simplify]: Extracting #5: cost 82 inf + 0
16.368 * * [simplify]: Extracting #6: cost 65 inf + 1201
16.370 * * [simplify]: Extracting #7: cost 32 inf + 7557
16.373 * * [simplify]: Extracting #8: cost 6 inf + 17113
16.378 * * [simplify]: Extracting #9: cost 2 inf + 19838
16.385 * * [simplify]: Extracting #10: cost 0 inf + 21576
16.395 * [simplify]: Simplified to (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi1) (sin phi2)))))
16.395 * [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))
16.396 * * * * [progress]: [ 68 / 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))>
16.396 * [simplify]: Simplifying (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
16.396 * * [simplify]: iters left: 6 (23 enodes)
16.406 * * [simplify]: iters left: 5 (87 enodes)
16.433 * * [simplify]: iters left: 4 (144 enodes)
16.485 * * [simplify]: iters left: 3 (245 enodes)
16.537 * * [simplify]: iters left: 2 (290 enodes)
16.582 * * [simplify]: Extracting #0: cost 1 inf + 0
16.582 * * [simplify]: Extracting #1: cost 3 inf + 0
16.582 * * [simplify]: Extracting #2: cost 5 inf + 0
16.582 * * [simplify]: Extracting #3: cost 12 inf + 0
16.582 * * [simplify]: Extracting #4: cost 48 inf + 0
16.582 * * [simplify]: Extracting #5: cost 82 inf + 0
16.582 * * [simplify]: Extracting #6: cost 68 inf + 917
16.583 * * [simplify]: Extracting #7: cost 37 inf + 6545
16.587 * * [simplify]: Extracting #8: cost 6 inf + 17113
16.590 * * [simplify]: Extracting #9: cost 2 inf + 19838
16.594 * * [simplify]: Extracting #10: cost 0 inf + 21576
16.597 * [simplify]: Simplified to (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
16.597 * [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))
16.598 * * * * [progress]: [ 69 / 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))>
16.598 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
16.598 * * [simplify]: iters left: 6 (22 enodes)
16.603 * * [simplify]: iters left: 5 (84 enodes)
16.626 * * [simplify]: iters left: 4 (141 enodes)
16.666 * * [simplify]: iters left: 3 (241 enodes)
16.724 * * [simplify]: iters left: 2 (280 enodes)
16.771 * * [simplify]: Extracting #0: cost 1 inf + 0
16.771 * * [simplify]: Extracting #1: cost 3 inf + 0
16.771 * * [simplify]: Extracting #2: cost 10 inf + 0
16.771 * * [simplify]: Extracting #3: cost 46 inf + 0
16.772 * * [simplify]: Extracting #4: cost 80 inf + 0
16.773 * * [simplify]: Extracting #5: cost 63 inf + 1504
16.776 * * [simplify]: Extracting #6: cost 22 inf + 9796
16.781 * * [simplify]: Extracting #7: cost 5 inf + 17031
16.788 * * [simplify]: Extracting #8: cost 0 inf + 19888
16.795 * * [simplify]: Extracting #9: cost 0 inf + 19728
16.802 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))
16.802 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R))
16.802 * * * * [progress]: [ 70 / 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))>
16.803 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
16.803 * * [simplify]: iters left: 6 (22 enodes)
16.812 * * [simplify]: iters left: 5 (84 enodes)
16.838 * * [simplify]: iters left: 4 (141 enodes)
16.865 * * [simplify]: iters left: 3 (241 enodes)
16.945 * * [simplify]: iters left: 2 (280 enodes)
17.020 * * [simplify]: Extracting #0: cost 1 inf + 0
17.020 * * [simplify]: Extracting #1: cost 3 inf + 0
17.020 * * [simplify]: Extracting #2: cost 10 inf + 0
17.020 * * [simplify]: Extracting #3: cost 46 inf + 0
17.021 * * [simplify]: Extracting #4: cost 80 inf + 0
17.022 * * [simplify]: Extracting #5: cost 58 inf + 2112
17.025 * * [simplify]: Extracting #6: cost 20 inf + 10221
17.031 * * [simplify]: Extracting #7: cost 2 inf + 18300
17.037 * * [simplify]: Extracting #8: cost 0 inf + 19888
17.044 * * [simplify]: Extracting #9: cost 0 inf + 19728
17.050 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))
17.050 * [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))
17.051 * * * * [progress]: [ 71 / 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))>
17.051 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
17.051 * * [simplify]: iters left: 6 (22 enodes)
17.060 * * [simplify]: iters left: 5 (84 enodes)
17.078 * * [simplify]: iters left: 4 (141 enodes)
17.110 * * [simplify]: iters left: 3 (241 enodes)
17.161 * * [simplify]: iters left: 2 (280 enodes)
17.230 * * [simplify]: Extracting #0: cost 1 inf + 0
17.230 * * [simplify]: Extracting #1: cost 3 inf + 0
17.230 * * [simplify]: Extracting #2: cost 10 inf + 0
17.231 * * [simplify]: Extracting #3: cost 46 inf + 0
17.231 * * [simplify]: Extracting #4: cost 80 inf + 0
17.231 * * [simplify]: Extracting #5: cost 63 inf + 1504
17.233 * * [simplify]: Extracting #6: cost 22 inf + 9796
17.235 * * [simplify]: Extracting #7: cost 5 inf + 17031
17.239 * * [simplify]: Extracting #8: cost 0 inf + 19888
17.242 * * [simplify]: Extracting #9: cost 0 inf + 19728
17.245 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))
17.245 * [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))
17.245 * * * * [progress]: [ 72 / 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)))))))>
17.246 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
17.246 * * [simplify]: iters left: 6 (24 enodes)
17.252 * * [simplify]: iters left: 5 (91 enodes)
17.280 * * [simplify]: iters left: 4 (148 enodes)
17.337 * * [simplify]: iters left: 3 (248 enodes)
17.402 * * [simplify]: iters left: 2 (295 enodes)
17.468 * * [simplify]: Extracting #0: cost 1 inf + 0
17.468 * * [simplify]: Extracting #1: cost 4 inf + 0
17.468 * * [simplify]: Extracting #2: cost 5 inf + 1
17.468 * * [simplify]: Extracting #3: cost 12 inf + 1
17.468 * * [simplify]: Extracting #4: cost 48 inf + 1
17.469 * * [simplify]: Extracting #5: cost 82 inf + 1
17.469 * * [simplify]: Extracting #6: cost 71 inf + 634
17.471 * * [simplify]: Extracting #7: cost 31 inf + 8806
17.477 * * [simplify]: Extracting #8: cost 5 inf + 18631
17.484 * * [simplify]: Extracting #9: cost 1 inf + 20704
17.491 * * [simplify]: Extracting #10: cost 0 inf + 21559
17.498 * * [simplify]: Extracting #11: cost 0 inf + 21519
17.505 * [simplify]: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))
17.505 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))
17.506 * * * * [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))>
17.506 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R)
17.506 * * [simplify]: iters left: 6 (24 enodes)
17.516 * * [simplify]: iters left: 5 (91 enodes)
17.533 * * [simplify]: iters left: 4 (148 enodes)
17.570 * * [simplify]: iters left: 3 (248 enodes)
17.649 * * [simplify]: iters left: 2 (292 enodes)
17.726 * * [simplify]: Extracting #0: cost 1 inf + 0
17.726 * * [simplify]: Extracting #1: cost 4 inf + 0
17.726 * * [simplify]: Extracting #2: cost 5 inf + 1
17.727 * * [simplify]: Extracting #3: cost 12 inf + 1
17.727 * * [simplify]: Extracting #4: cost 48 inf + 1
17.727 * * [simplify]: Extracting #5: cost 82 inf + 1
17.728 * * [simplify]: Extracting #6: cost 61 inf + 2052
17.731 * * [simplify]: Extracting #7: cost 23 inf + 9919
17.736 * * [simplify]: Extracting #8: cost 4 inf + 18021
17.739 * * [simplify]: Extracting #9: cost 1 inf + 20624
17.742 * * [simplify]: Extracting #10: cost 0 inf + 21519
17.746 * [simplify]: Simplified to (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R)
17.746 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R))
17.746 * * * * [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)))))))>
17.746 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
17.746 * * [simplify]: iters left: 6 (24 enodes)
17.751 * * [simplify]: iters left: 5 (91 enodes)
17.771 * * [simplify]: iters left: 4 (148 enodes)
17.822 * * [simplify]: iters left: 3 (248 enodes)
17.887 * * [simplify]: iters left: 2 (295 enodes)
17.963 * * [simplify]: Extracting #0: cost 1 inf + 0
17.963 * * [simplify]: Extracting #1: cost 4 inf + 0
17.963 * * [simplify]: Extracting #2: cost 5 inf + 1
17.963 * * [simplify]: Extracting #3: cost 12 inf + 1
17.963 * * [simplify]: Extracting #4: cost 48 inf + 1
17.964 * * [simplify]: Extracting #5: cost 82 inf + 1
17.964 * * [simplify]: Extracting #6: cost 71 inf + 634
17.967 * * [simplify]: Extracting #7: cost 31 inf + 8806
17.973 * * [simplify]: Extracting #8: cost 5 inf + 18631
17.979 * * [simplify]: Extracting #9: cost 1 inf + 20704
17.987 * * [simplify]: Extracting #10: cost 0 inf + 21559
17.994 * * [simplify]: Extracting #11: cost 0 inf + 21519
18.001 * [simplify]: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))
18.001 * [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)))))))
18.002 * * * [progress]: adding candidates to table
19.813 * * [progress]: iteration 4 / 4
19.813 * * * [progress]: picking best candidate
19.979 * * * * [pick]: Picked  #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
19.979 * * * [progress]: localizing error
20.081 * * * [progress]: generating rewritten candidates
20.081 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1)
20.223 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
20.225 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1)
20.276 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
20.289 * * * [progress]: generating series expansions
20.289 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1)
20.290 * [backup-simplify]: Simplify (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) into (* (sin phi1) (sin phi2))
20.290 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0
20.290 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2
20.290 * [taylor]: Taking taylor expansion of (sin phi1) in phi2
20.290 * [taylor]: Taking taylor expansion of phi1 in phi2
20.290 * [backup-simplify]: Simplify phi1 into phi1
20.290 * [backup-simplify]: Simplify (sin phi1) into (sin phi1)
20.290 * [backup-simplify]: Simplify (cos phi1) into (cos phi1)
20.290 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
20.290 * [taylor]: Taking taylor expansion of phi2 in phi2
20.290 * [backup-simplify]: Simplify 0 into 0
20.290 * [backup-simplify]: Simplify 1 into 1
20.290 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
20.290 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
20.290 * [taylor]: Taking taylor expansion of phi1 in phi1
20.290 * [backup-simplify]: Simplify 0 into 0
20.290 * [backup-simplify]: Simplify 1 into 1
20.290 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
20.290 * [taylor]: Taking taylor expansion of phi2 in phi1
20.290 * [backup-simplify]: Simplify phi2 into phi2
20.290 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
20.290 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
20.290 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
20.290 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
20.291 * [taylor]: Taking taylor expansion of phi1 in phi1
20.291 * [backup-simplify]: Simplify 0 into 0
20.291 * [backup-simplify]: Simplify 1 into 1
20.291 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
20.291 * [taylor]: Taking taylor expansion of phi2 in phi1
20.291 * [backup-simplify]: Simplify phi2 into phi2
20.291 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
20.291 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
20.291 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2)
20.291 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0
20.291 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2)
20.291 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0
20.291 * [taylor]: Taking taylor expansion of 0 in phi2
20.291 * [backup-simplify]: Simplify 0 into 0
20.291 * [backup-simplify]: Simplify 0 into 0
20.292 * [backup-simplify]: Simplify (+ 0) into 0
20.293 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0
20.293 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.294 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0
20.294 * [backup-simplify]: Simplify (+ 0 0) into 0
20.295 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
20.295 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2)
20.295 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
20.295 * [taylor]: Taking taylor expansion of phi2 in phi2
20.295 * [backup-simplify]: Simplify 0 into 0
20.296 * [backup-simplify]: Simplify 1 into 1
20.296 * [backup-simplify]: Simplify 0 into 0
20.296 * [backup-simplify]: Simplify 0 into 0
20.296 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
20.297 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0
20.298 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
20.298 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0
20.299 * [backup-simplify]: Simplify (+ 0 0) into 0
20.300 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
20.300 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0
20.301 * [taylor]: Taking taylor expansion of 0 in phi2
20.301 * [backup-simplify]: Simplify 0 into 0
20.301 * [backup-simplify]: Simplify 0 into 0
20.301 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
20.301 * [backup-simplify]: Simplify 1 into 1
20.301 * [backup-simplify]: Simplify 0 into 0
20.302 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
20.303 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
20.305 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
20.305 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
20.306 * [backup-simplify]: Simplify (+ 0 0) into 0
20.307 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
20.308 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2)))
20.308 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2
20.308 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2
20.308 * [taylor]: Taking taylor expansion of 1/6 in phi2
20.309 * [backup-simplify]: Simplify 1/6 into 1/6
20.309 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
20.309 * [taylor]: Taking taylor expansion of phi2 in phi2
20.309 * [backup-simplify]: Simplify 0 into 0
20.309 * [backup-simplify]: Simplify 1 into 1
20.309 * [backup-simplify]: Simplify (* 1/6 0) into 0
20.309 * [backup-simplify]: Simplify (- 0) into 0
20.309 * [backup-simplify]: Simplify 0 into 0
20.310 * [backup-simplify]: Simplify 0 into 0
20.310 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
20.310 * [backup-simplify]: Simplify 0 into 0
20.310 * [backup-simplify]: Simplify 0 into 0
20.313 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
20.314 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
20.315 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
20.316 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
20.316 * [backup-simplify]: Simplify (+ 0 0) into 0
20.318 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
20.319 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0
20.319 * [taylor]: Taking taylor expansion of 0 in phi2
20.319 * [backup-simplify]: Simplify 0 into 0
20.320 * [backup-simplify]: Simplify 0 into 0
20.320 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2)
20.320 * [backup-simplify]: Simplify (cbrt (* (* (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
20.320 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0
20.320 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2
20.320 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
20.320 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
20.320 * [taylor]: Taking taylor expansion of phi2 in phi2
20.320 * [backup-simplify]: Simplify 0 into 0
20.320 * [backup-simplify]: Simplify 1 into 1
20.321 * [backup-simplify]: Simplify (/ 1 1) into 1
20.321 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
20.321 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
20.321 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
20.321 * [taylor]: Taking taylor expansion of phi1 in phi2
20.321 * [backup-simplify]: Simplify phi1 into phi1
20.321 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
20.321 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
20.321 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
20.321 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1
20.321 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
20.321 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
20.321 * [taylor]: Taking taylor expansion of phi2 in phi1
20.321 * [backup-simplify]: Simplify phi2 into phi2
20.321 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
20.321 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
20.321 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
20.321 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
20.322 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
20.322 * [taylor]: Taking taylor expansion of phi1 in phi1
20.322 * [backup-simplify]: Simplify 0 into 0
20.322 * [backup-simplify]: Simplify 1 into 1
20.322 * [backup-simplify]: Simplify (/ 1 1) into 1
20.322 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
20.322 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1
20.322 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
20.322 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
20.322 * [taylor]: Taking taylor expansion of phi2 in phi1
20.322 * [backup-simplify]: Simplify phi2 into phi2
20.323 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
20.323 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
20.323 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
20.323 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
20.323 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
20.323 * [taylor]: Taking taylor expansion of phi1 in phi1
20.323 * [backup-simplify]: Simplify 0 into 0
20.323 * [backup-simplify]: Simplify 1 into 1
20.323 * [backup-simplify]: Simplify (/ 1 1) into 1
20.323 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
20.323 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2))
20.323 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0
20.324 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2))
20.324 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
20.324 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2
20.324 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
20.324 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
20.324 * [taylor]: Taking taylor expansion of phi2 in phi2
20.324 * [backup-simplify]: Simplify 0 into 0
20.324 * [backup-simplify]: Simplify 1 into 1
20.324 * [backup-simplify]: Simplify (/ 1 1) into 1
20.324 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
20.324 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
20.324 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
20.324 * [taylor]: Taking taylor expansion of phi1 in phi2
20.324 * [backup-simplify]: Simplify phi1 into phi1
20.324 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
20.324 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
20.325 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
20.325 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1))
20.325 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0
20.325 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1))
20.325 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
20.325 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
20.325 * [backup-simplify]: Simplify (+ 0) into 0
20.326 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0
20.326 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
20.327 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.327 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0
20.328 * [backup-simplify]: Simplify (+ 0 0) into 0
20.328 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0
20.328 * [taylor]: Taking taylor expansion of 0 in phi2
20.328 * [backup-simplify]: Simplify 0 into 0
20.328 * [backup-simplify]: Simplify 0 into 0
20.328 * [backup-simplify]: Simplify (+ 0) into 0
20.329 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0
20.329 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
20.330 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.330 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0
20.331 * [backup-simplify]: Simplify (+ 0 0) into 0
20.331 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0
20.331 * [backup-simplify]: Simplify 0 into 0
20.332 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
20.332 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
20.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
20.333 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
20.334 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
20.334 * [backup-simplify]: Simplify (+ 0 0) into 0
20.335 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0
20.335 * [taylor]: Taking taylor expansion of 0 in phi2
20.335 * [backup-simplify]: Simplify 0 into 0
20.335 * [backup-simplify]: Simplify 0 into 0
20.335 * [backup-simplify]: Simplify 0 into 0
20.336 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
20.336 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
20.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
20.337 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
20.338 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
20.338 * [backup-simplify]: Simplify (+ 0 0) into 0
20.339 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0
20.339 * [backup-simplify]: Simplify 0 into 0
20.340 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
20.341 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
20.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
20.343 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
20.344 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
20.344 * [backup-simplify]: Simplify (+ 0 0) into 0
20.345 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0
20.345 * [taylor]: Taking taylor expansion of 0 in phi2
20.345 * [backup-simplify]: Simplify 0 into 0
20.345 * [backup-simplify]: Simplify 0 into 0
20.345 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2))
20.346 * [backup-simplify]: Simplify (cbrt (* (* (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2))))) (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
20.346 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0
20.346 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
20.346 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
20.346 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
20.346 * [taylor]: Taking taylor expansion of -1 in phi2
20.346 * [backup-simplify]: Simplify -1 into -1
20.346 * [taylor]: Taking taylor expansion of phi1 in phi2
20.346 * [backup-simplify]: Simplify phi1 into phi1
20.346 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
20.346 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
20.346 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
20.346 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
20.346 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
20.346 * [taylor]: Taking taylor expansion of -1 in phi2
20.346 * [backup-simplify]: Simplify -1 into -1
20.346 * [taylor]: Taking taylor expansion of phi2 in phi2
20.346 * [backup-simplify]: Simplify 0 into 0
20.346 * [backup-simplify]: Simplify 1 into 1
20.347 * [backup-simplify]: Simplify (/ -1 1) into -1
20.347 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
20.347 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
20.347 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
20.347 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
20.347 * [taylor]: Taking taylor expansion of -1 in phi1
20.347 * [backup-simplify]: Simplify -1 into -1
20.347 * [taylor]: Taking taylor expansion of phi1 in phi1
20.347 * [backup-simplify]: Simplify 0 into 0
20.347 * [backup-simplify]: Simplify 1 into 1
20.348 * [backup-simplify]: Simplify (/ -1 1) into -1
20.348 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
20.348 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
20.348 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
20.348 * [taylor]: Taking taylor expansion of -1 in phi1
20.348 * [backup-simplify]: Simplify -1 into -1
20.348 * [taylor]: Taking taylor expansion of phi2 in phi1
20.348 * [backup-simplify]: Simplify phi2 into phi2
20.348 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
20.348 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
20.348 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
20.348 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
20.348 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
20.348 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
20.348 * [taylor]: Taking taylor expansion of -1 in phi1
20.348 * [backup-simplify]: Simplify -1 into -1
20.348 * [taylor]: Taking taylor expansion of phi1 in phi1
20.348 * [backup-simplify]: Simplify 0 into 0
20.348 * [backup-simplify]: Simplify 1 into 1
20.349 * [backup-simplify]: Simplify (/ -1 1) into -1
20.349 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
20.349 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
20.349 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
20.349 * [taylor]: Taking taylor expansion of -1 in phi1
20.349 * [backup-simplify]: Simplify -1 into -1
20.349 * [taylor]: Taking taylor expansion of phi2 in phi1
20.349 * [backup-simplify]: Simplify phi2 into phi2
20.349 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
20.349 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
20.349 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
20.349 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2))
20.349 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0
20.350 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2))
20.350 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
20.350 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
20.350 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
20.350 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
20.350 * [taylor]: Taking taylor expansion of -1 in phi2
20.350 * [backup-simplify]: Simplify -1 into -1
20.350 * [taylor]: Taking taylor expansion of phi1 in phi2
20.350 * [backup-simplify]: Simplify phi1 into phi1
20.350 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
20.350 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
20.350 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
20.350 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
20.350 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
20.350 * [taylor]: Taking taylor expansion of -1 in phi2
20.350 * [backup-simplify]: Simplify -1 into -1
20.350 * [taylor]: Taking taylor expansion of phi2 in phi2
20.350 * [backup-simplify]: Simplify 0 into 0
20.350 * [backup-simplify]: Simplify 1 into 1
20.351 * [backup-simplify]: Simplify (/ -1 1) into -1
20.351 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
20.351 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1))
20.351 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0
20.351 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1))
20.351 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
20.352 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
20.352 * [backup-simplify]: Simplify (+ 0) into 0
20.353 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0
20.353 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0
20.354 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.354 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0
20.354 * [backup-simplify]: Simplify (+ 0 0) into 0
20.355 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0
20.355 * [taylor]: Taking taylor expansion of 0 in phi2
20.355 * [backup-simplify]: Simplify 0 into 0
20.355 * [backup-simplify]: Simplify 0 into 0
20.355 * [backup-simplify]: Simplify (+ 0) into 0
20.356 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0
20.356 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0
20.357 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.357 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0
20.357 * [backup-simplify]: Simplify (+ 0 0) into 0
20.357 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0
20.358 * [backup-simplify]: Simplify 0 into 0
20.358 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
20.359 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
20.360 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
20.361 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
20.361 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
20.361 * [backup-simplify]: Simplify (+ 0 0) into 0
20.362 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
20.362 * [taylor]: Taking taylor expansion of 0 in phi2
20.362 * [backup-simplify]: Simplify 0 into 0
20.362 * [backup-simplify]: Simplify 0 into 0
20.362 * [backup-simplify]: Simplify 0 into 0
20.363 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
20.364 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
20.364 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
20.365 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
20.365 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
20.366 * [backup-simplify]: Simplify (+ 0 0) into 0
20.366 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
20.366 * [backup-simplify]: Simplify 0 into 0
20.367 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
20.368 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
20.368 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
20.370 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
20.370 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
20.371 * [backup-simplify]: Simplify (+ 0 0) into 0
20.372 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0
20.372 * [taylor]: Taking taylor expansion of 0 in phi2
20.372 * [backup-simplify]: Simplify 0 into 0
20.372 * [backup-simplify]: Simplify 0 into 0
20.372 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2))
20.372 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
20.373 * [backup-simplify]: Simplify (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
20.373 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0
20.373 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
20.374 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
20.374 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
20.374 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
20.374 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
20.375 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
20.375 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
20.375 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
20.375 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
20.376 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
20.376 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
20.377 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
20.377 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
20.377 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
20.377 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
20.378 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
20.378 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
20.379 * [taylor]: Taking taylor expansion of 0 in phi2
20.379 * [backup-simplify]: Simplify 0 into 0
20.379 * [taylor]: Taking taylor expansion of 0 in lambda1
20.379 * [backup-simplify]: Simplify 0 into 0
20.379 * [taylor]: Taking taylor expansion of 0 in lambda2
20.379 * [backup-simplify]: Simplify 0 into 0
20.379 * [backup-simplify]: Simplify 0 into 0
20.379 * [taylor]: Taking taylor expansion of 0 in lambda1
20.379 * [backup-simplify]: Simplify 0 into 0
20.379 * [taylor]: Taking taylor expansion of 0 in lambda2
20.379 * [backup-simplify]: Simplify 0 into 0
20.379 * [backup-simplify]: Simplify 0 into 0
20.379 * [taylor]: Taking taylor expansion of 0 in lambda2
20.379 * [backup-simplify]: Simplify 0 into 0
20.379 * [backup-simplify]: Simplify 0 into 0
20.379 * [backup-simplify]: Simplify 0 into 0
20.379 * [taylor]: Taking taylor expansion of 0 in phi2
20.379 * [backup-simplify]: Simplify 0 into 0
20.379 * [taylor]: Taking taylor expansion of 0 in lambda1
20.379 * [backup-simplify]: Simplify 0 into 0
20.379 * [taylor]: Taking taylor expansion of 0 in lambda2
20.379 * [backup-simplify]: Simplify 0 into 0
20.379 * [backup-simplify]: Simplify 0 into 0
20.379 * [taylor]: Taking taylor expansion of 0 in lambda1
20.379 * [backup-simplify]: Simplify 0 into 0
20.379 * [taylor]: Taking taylor expansion of 0 in lambda2
20.379 * [backup-simplify]: Simplify 0 into 0
20.379 * [backup-simplify]: Simplify 0 into 0
20.380 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
20.381 * [backup-simplify]: Simplify (acos (+ (cbrt (* (* (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
20.381 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0
20.381 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
20.382 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
20.382 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
20.382 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
20.383 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
20.383 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
20.383 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
20.384 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
20.384 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
20.385 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
20.385 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
20.386 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
20.386 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
20.386 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
20.386 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
20.387 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
20.388 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
20.388 * [taylor]: Taking taylor expansion of 0 in phi2
20.388 * [backup-simplify]: Simplify 0 into 0
20.388 * [taylor]: Taking taylor expansion of 0 in lambda1
20.388 * [backup-simplify]: Simplify 0 into 0
20.388 * [taylor]: Taking taylor expansion of 0 in lambda2
20.388 * [backup-simplify]: Simplify 0 into 0
20.388 * [backup-simplify]: Simplify 0 into 0
20.388 * [taylor]: Taking taylor expansion of 0 in lambda1
20.388 * [backup-simplify]: Simplify 0 into 0
20.388 * [taylor]: Taking taylor expansion of 0 in lambda2
20.388 * [backup-simplify]: Simplify 0 into 0
20.388 * [backup-simplify]: Simplify 0 into 0
20.389 * [taylor]: Taking taylor expansion of 0 in lambda2
20.389 * [backup-simplify]: Simplify 0 into 0
20.389 * [backup-simplify]: Simplify 0 into 0
20.389 * [backup-simplify]: Simplify 0 into 0
20.389 * [taylor]: Taking taylor expansion of 0 in phi2
20.389 * [backup-simplify]: Simplify 0 into 0
20.389 * [taylor]: Taking taylor expansion of 0 in lambda1
20.389 * [backup-simplify]: Simplify 0 into 0
20.389 * [taylor]: Taking taylor expansion of 0 in lambda2
20.389 * [backup-simplify]: Simplify 0 into 0
20.389 * [backup-simplify]: Simplify 0 into 0
20.389 * [taylor]: Taking taylor expansion of 0 in lambda1
20.389 * [backup-simplify]: Simplify 0 into 0
20.389 * [taylor]: Taking taylor expansion of 0 in lambda2
20.389 * [backup-simplify]: Simplify 0 into 0
20.389 * [backup-simplify]: Simplify 0 into 0
20.390 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
20.391 * [backup-simplify]: Simplify (acos (+ (cbrt (* (* (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2))))) (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
20.391 * [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
20.391 * [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
20.392 * [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))))))))
20.392 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
20.393 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
20.393 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
20.393 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
20.393 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
20.394 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
20.394 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
20.395 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
20.395 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
20.396 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
20.396 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
20.397 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
20.397 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
20.397 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
20.401 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
20.401 * [taylor]: Taking taylor expansion of 0 in phi2
20.401 * [backup-simplify]: Simplify 0 into 0
20.401 * [taylor]: Taking taylor expansion of 0 in lambda1
20.401 * [backup-simplify]: Simplify 0 into 0
20.402 * [taylor]: Taking taylor expansion of 0 in lambda2
20.402 * [backup-simplify]: Simplify 0 into 0
20.402 * [backup-simplify]: Simplify 0 into 0
20.402 * [taylor]: Taking taylor expansion of 0 in lambda1
20.402 * [backup-simplify]: Simplify 0 into 0
20.402 * [taylor]: Taking taylor expansion of 0 in lambda2
20.402 * [backup-simplify]: Simplify 0 into 0
20.402 * [backup-simplify]: Simplify 0 into 0
20.402 * [taylor]: Taking taylor expansion of 0 in lambda2
20.402 * [backup-simplify]: Simplify 0 into 0
20.402 * [backup-simplify]: Simplify 0 into 0
20.402 * [backup-simplify]: Simplify 0 into 0
20.402 * [taylor]: Taking taylor expansion of 0 in phi2
20.402 * [backup-simplify]: Simplify 0 into 0
20.402 * [taylor]: Taking taylor expansion of 0 in lambda1
20.402 * [backup-simplify]: Simplify 0 into 0
20.402 * [taylor]: Taking taylor expansion of 0 in lambda2
20.402 * [backup-simplify]: Simplify 0 into 0
20.402 * [backup-simplify]: Simplify 0 into 0
20.402 * [taylor]: Taking taylor expansion of 0 in lambda1
20.402 * [backup-simplify]: Simplify 0 into 0
20.402 * [taylor]: Taking taylor expansion of 0 in lambda2
20.402 * [backup-simplify]: Simplify 0 into 0
20.402 * [backup-simplify]: Simplify 0 into 0
20.403 * [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)))))
20.403 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1)
20.404 * [backup-simplify]: Simplify (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) into (* (pow (sin phi1) 2) (pow (sin phi2) 2))
20.404 * [approximate]: Taking taylor expansion of (* (pow (sin phi1) 2) (pow (sin phi2) 2)) in (phi1 phi2) around 0
20.404 * [taylor]: Taking taylor expansion of (* (pow (sin phi1) 2) (pow (sin phi2) 2)) in phi2
20.404 * [taylor]: Taking taylor expansion of (pow (sin phi1) 2) in phi2
20.404 * [taylor]: Taking taylor expansion of (sin phi1) in phi2
20.404 * [taylor]: Taking taylor expansion of phi1 in phi2
20.404 * [backup-simplify]: Simplify phi1 into phi1
20.404 * [backup-simplify]: Simplify (sin phi1) into (sin phi1)
20.404 * [backup-simplify]: Simplify (cos phi1) into (cos phi1)
20.404 * [backup-simplify]: Simplify (* (sin phi1) 1) into (sin phi1)
20.404 * [backup-simplify]: Simplify (* (cos phi1) 0) into 0
20.404 * [backup-simplify]: Simplify (+ (sin phi1) 0) into (sin phi1)
20.404 * [taylor]: Taking taylor expansion of (pow (sin phi2) 2) in phi2
20.404 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
20.405 * [taylor]: Taking taylor expansion of phi2 in phi2
20.405 * [backup-simplify]: Simplify 0 into 0
20.405 * [backup-simplify]: Simplify 1 into 1
20.406 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
20.406 * [taylor]: Taking taylor expansion of (* (pow (sin phi1) 2) (pow (sin phi2) 2)) in phi1
20.406 * [taylor]: Taking taylor expansion of (pow (sin phi1) 2) in phi1
20.406 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
20.406 * [taylor]: Taking taylor expansion of phi1 in phi1
20.406 * [backup-simplify]: Simplify 0 into 0
20.406 * [backup-simplify]: Simplify 1 into 1
20.406 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
20.407 * [taylor]: Taking taylor expansion of (pow (sin phi2) 2) in phi1
20.407 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
20.407 * [taylor]: Taking taylor expansion of phi2 in phi1
20.407 * [backup-simplify]: Simplify phi2 into phi2
20.407 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
20.407 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
20.407 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2)
20.407 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0
20.407 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2)
20.407 * [taylor]: Taking taylor expansion of (* (pow (sin phi1) 2) (pow (sin phi2) 2)) in phi1
20.407 * [taylor]: Taking taylor expansion of (pow (sin phi1) 2) in phi1
20.407 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
20.407 * [taylor]: Taking taylor expansion of phi1 in phi1
20.407 * [backup-simplify]: Simplify 0 into 0
20.407 * [backup-simplify]: Simplify 1 into 1
20.408 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
20.408 * [taylor]: Taking taylor expansion of (pow (sin phi2) 2) in phi1
20.408 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
20.408 * [taylor]: Taking taylor expansion of phi2 in phi1
20.408 * [backup-simplify]: Simplify phi2 into phi2
20.408 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
20.408 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
20.408 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2)
20.408 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0
20.408 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2)
20.409 * [backup-simplify]: Simplify (* 1 1) into 1
20.409 * [backup-simplify]: Simplify (* (sin phi2) (sin phi2)) into (pow (sin phi2) 2)
20.409 * [backup-simplify]: Simplify (* 1 (pow (sin phi2) 2)) into (pow (sin phi2) 2)
20.409 * [taylor]: Taking taylor expansion of (pow (sin phi2) 2) in phi2
20.409 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
20.409 * [taylor]: Taking taylor expansion of phi2 in phi2
20.409 * [backup-simplify]: Simplify 0 into 0
20.409 * [backup-simplify]: Simplify 1 into 1
20.410 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
20.410 * [backup-simplify]: Simplify (* 1 1) into 1
20.410 * [backup-simplify]: Simplify 1 into 1
20.411 * [backup-simplify]: Simplify (+ 0) into 0
20.411 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0
20.412 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.413 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0
20.413 * [backup-simplify]: Simplify (+ 0 0) into 0
20.413 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 (sin phi2))) into 0
20.414 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
20.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
20.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sin phi2) 2))) into 0
20.415 * [taylor]: Taking taylor expansion of 0 in phi2
20.415 * [backup-simplify]: Simplify 0 into 0
20.415 * [backup-simplify]: Simplify 0 into 0
20.416 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
20.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
20.417 * [backup-simplify]: Simplify 0 into 0
20.418 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
20.418 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0
20.419 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
20.420 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0
20.420 * [backup-simplify]: Simplify (+ 0 0) into 0
20.421 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 (sin phi2)))) into 0
20.422 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
20.423 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
20.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/3 (pow (sin phi2) 2)))) into (- (* 1/3 (pow (sin phi2) 2)))
20.424 * [taylor]: Taking taylor expansion of (- (* 1/3 (pow (sin phi2) 2))) in phi2
20.424 * [taylor]: Taking taylor expansion of (* 1/3 (pow (sin phi2) 2)) in phi2
20.424 * [taylor]: Taking taylor expansion of 1/3 in phi2
20.424 * [backup-simplify]: Simplify 1/3 into 1/3
20.425 * [taylor]: Taking taylor expansion of (pow (sin phi2) 2) in phi2
20.425 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
20.425 * [taylor]: Taking taylor expansion of phi2 in phi2
20.425 * [backup-simplify]: Simplify 0 into 0
20.425 * [backup-simplify]: Simplify 1 into 1
20.425 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
20.426 * [backup-simplify]: Simplify (* 1 1) into 1
20.426 * [backup-simplify]: Simplify (* 1/3 1) into 1/3
20.427 * [backup-simplify]: Simplify (- 1/3) into -1/3
20.427 * [backup-simplify]: Simplify -1/3 into -1/3
20.427 * [backup-simplify]: Simplify 0 into 0
20.429 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
20.430 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
20.430 * [backup-simplify]: Simplify -1/3 into -1/3
20.431 * [backup-simplify]: Simplify (+ (* -1/3 (pow (* (pow phi2 2) phi1) 2)) (+ (* -1/3 (pow (* phi2 (pow phi1 2)) 2)) (* 1 (pow (* phi2 phi1) 2)))) into (- (* (pow phi1 2) (pow phi2 2)) (+ (* 1/3 (* (pow phi1 4) (pow phi2 2))) (* 1/3 (* (pow phi1 2) (pow phi2 4)))))
20.431 * [backup-simplify]: Simplify (* (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) into (* (pow (sin (/ 1 phi2)) 2) (pow (sin (/ 1 phi1)) 2))
20.431 * [approximate]: Taking taylor expansion of (* (pow (sin (/ 1 phi2)) 2) (pow (sin (/ 1 phi1)) 2)) in (phi1 phi2) around 0
20.431 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 phi2)) 2) (pow (sin (/ 1 phi1)) 2)) in phi2
20.431 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 phi2)) 2) in phi2
20.431 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
20.431 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
20.431 * [taylor]: Taking taylor expansion of phi2 in phi2
20.431 * [backup-simplify]: Simplify 0 into 0
20.431 * [backup-simplify]: Simplify 1 into 1
20.432 * [backup-simplify]: Simplify (/ 1 1) into 1
20.432 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
20.432 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 phi1)) 2) in phi2
20.432 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
20.432 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
20.432 * [taylor]: Taking taylor expansion of phi1 in phi2
20.432 * [backup-simplify]: Simplify phi1 into phi1
20.432 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
20.432 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
20.432 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
20.432 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1))
20.432 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0
20.433 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1))
20.433 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 phi2)) 2) (pow (sin (/ 1 phi1)) 2)) in phi1
20.433 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 phi2)) 2) in phi1
20.433 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
20.433 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
20.433 * [taylor]: Taking taylor expansion of phi2 in phi1
20.433 * [backup-simplify]: Simplify phi2 into phi2
20.433 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
20.433 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
20.433 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
20.433 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2))
20.433 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0
20.433 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2))
20.433 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 phi1)) 2) in phi1
20.433 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
20.433 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
20.433 * [taylor]: Taking taylor expansion of phi1 in phi1
20.433 * [backup-simplify]: Simplify 0 into 0
20.433 * [backup-simplify]: Simplify 1 into 1
20.434 * [backup-simplify]: Simplify (/ 1 1) into 1
20.434 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
20.434 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 phi2)) 2) (pow (sin (/ 1 phi1)) 2)) in phi1
20.434 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 phi2)) 2) in phi1
20.434 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
20.434 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
20.434 * [taylor]: Taking taylor expansion of phi2 in phi1
20.434 * [backup-simplify]: Simplify phi2 into phi2
20.434 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
20.434 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
20.434 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
20.434 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2))
20.434 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0
20.434 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2))
20.435 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 phi1)) 2) in phi1
20.435 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
20.435 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
20.435 * [taylor]: Taking taylor expansion of phi1 in phi1
20.435 * [backup-simplify]: Simplify 0 into 0
20.435 * [backup-simplify]: Simplify 1 into 1
20.435 * [backup-simplify]: Simplify (/ 1 1) into 1
20.435 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
20.435 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi2))) into (pow (sin (/ 1 phi2)) 2)
20.435 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi1))) into (pow (sin (/ 1 phi1)) 2)
20.436 * [backup-simplify]: Simplify (* (pow (sin (/ 1 phi2)) 2) (pow (sin (/ 1 phi1)) 2)) into (* (pow (sin (/ 1 phi2)) 2) (pow (sin (/ 1 phi1)) 2))
20.436 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 phi2)) 2) (pow (sin (/ 1 phi1)) 2)) in phi2
20.436 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 phi2)) 2) in phi2
20.436 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
20.436 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
20.436 * [taylor]: Taking taylor expansion of phi2 in phi2
20.436 * [backup-simplify]: Simplify 0 into 0
20.436 * [backup-simplify]: Simplify 1 into 1
20.436 * [backup-simplify]: Simplify (/ 1 1) into 1
20.436 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
20.436 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 phi1)) 2) in phi2
20.436 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
20.436 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
20.436 * [taylor]: Taking taylor expansion of phi1 in phi2
20.436 * [backup-simplify]: Simplify phi1 into phi1
20.436 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
20.437 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
20.437 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
20.437 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1))
20.437 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0
20.437 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1))
20.437 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi2))) into (pow (sin (/ 1 phi2)) 2)
20.437 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi1))) into (pow (sin (/ 1 phi1)) 2)
20.437 * [backup-simplify]: Simplify (* (pow (sin (/ 1 phi2)) 2) (pow (sin (/ 1 phi1)) 2)) into (* (pow (sin (/ 1 phi2)) 2) (pow (sin (/ 1 phi1)) 2))
20.438 * [backup-simplify]: Simplify (* (pow (sin (/ 1 phi2)) 2) (pow (sin (/ 1 phi1)) 2)) into (* (pow (sin (/ 1 phi2)) 2) (pow (sin (/ 1 phi1)) 2))
20.438 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi1)))) into 0
20.438 * [backup-simplify]: Simplify (+ 0) into 0
20.439 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0
20.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
20.440 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.440 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0
20.441 * [backup-simplify]: Simplify (+ 0 0) into 0
20.441 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi2)))) into 0
20.441 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 phi2)) 2) 0) (* 0 (pow (sin (/ 1 phi1)) 2))) into 0
20.441 * [taylor]: Taking taylor expansion of 0 in phi2
20.441 * [backup-simplify]: Simplify 0 into 0
20.441 * [backup-simplify]: Simplify 0 into 0
20.441 * [backup-simplify]: Simplify (+ 0) into 0
20.442 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0
20.442 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
20.443 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.443 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0
20.443 * [backup-simplify]: Simplify (+ 0 0) into 0
20.443 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi1)))) into 0
20.443 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi2)))) into 0
20.443 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 phi2)) 2) 0) (* 0 (pow (sin (/ 1 phi1)) 2))) into 0
20.443 * [backup-simplify]: Simplify 0 into 0
20.444 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0
20.444 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
20.445 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
20.445 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
20.445 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
20.446 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
20.446 * [backup-simplify]: Simplify (+ 0 0) into 0
20.446 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0
20.447 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 phi2)) 2) 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 phi1)) 2)))) into 0
20.447 * [taylor]: Taking taylor expansion of 0 in phi2
20.447 * [backup-simplify]: Simplify 0 into 0
20.447 * [backup-simplify]: Simplify 0 into 0
20.447 * [backup-simplify]: Simplify 0 into 0
20.447 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
20.448 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
20.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
20.448 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
20.449 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
20.449 * [backup-simplify]: Simplify (+ 0 0) into 0
20.449 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0
20.449 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0
20.450 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 phi2)) 2) 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 phi1)) 2)))) into 0
20.450 * [backup-simplify]: Simplify 0 into 0
20.450 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0
20.451 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
20.451 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
20.452 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
20.453 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
20.453 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
20.453 * [backup-simplify]: Simplify (+ 0 0) into 0
20.454 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2)))))) into 0
20.454 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 phi2)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 phi1)) 2))))) into 0
20.454 * [taylor]: Taking taylor expansion of 0 in phi2
20.454 * [backup-simplify]: Simplify 0 into 0
20.454 * [backup-simplify]: Simplify 0 into 0
20.455 * [backup-simplify]: Simplify (* (pow (sin (/ 1 (/ 1 phi2))) 2) (pow (sin (/ 1 (/ 1 phi1))) 2)) into (* (pow (sin phi1) 2) (pow (sin phi2) 2))
20.455 * [backup-simplify]: Simplify (* (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2))))) into (* (pow (sin (/ -1 phi1)) 2) (pow (sin (/ -1 phi2)) 2))
20.455 * [approximate]: Taking taylor expansion of (* (pow (sin (/ -1 phi1)) 2) (pow (sin (/ -1 phi2)) 2)) in (phi1 phi2) around 0
20.455 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 phi1)) 2) (pow (sin (/ -1 phi2)) 2)) in phi2
20.455 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 phi1)) 2) in phi2
20.455 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
20.455 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
20.455 * [taylor]: Taking taylor expansion of -1 in phi2
20.455 * [backup-simplify]: Simplify -1 into -1
20.455 * [taylor]: Taking taylor expansion of phi1 in phi2
20.455 * [backup-simplify]: Simplify phi1 into phi1
20.455 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
20.455 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
20.455 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
20.455 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1))
20.455 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0
20.455 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1))
20.455 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 phi2)) 2) in phi2
20.455 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
20.455 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
20.455 * [taylor]: Taking taylor expansion of -1 in phi2
20.455 * [backup-simplify]: Simplify -1 into -1
20.455 * [taylor]: Taking taylor expansion of phi2 in phi2
20.455 * [backup-simplify]: Simplify 0 into 0
20.455 * [backup-simplify]: Simplify 1 into 1
20.456 * [backup-simplify]: Simplify (/ -1 1) into -1
20.456 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
20.456 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 phi1)) 2) (pow (sin (/ -1 phi2)) 2)) in phi1
20.456 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 phi1)) 2) in phi1
20.456 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
20.456 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
20.456 * [taylor]: Taking taylor expansion of -1 in phi1
20.456 * [backup-simplify]: Simplify -1 into -1
20.456 * [taylor]: Taking taylor expansion of phi1 in phi1
20.456 * [backup-simplify]: Simplify 0 into 0
20.456 * [backup-simplify]: Simplify 1 into 1
20.456 * [backup-simplify]: Simplify (/ -1 1) into -1
20.456 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
20.456 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 phi2)) 2) in phi1
20.456 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
20.456 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
20.456 * [taylor]: Taking taylor expansion of -1 in phi1
20.456 * [backup-simplify]: Simplify -1 into -1
20.456 * [taylor]: Taking taylor expansion of phi2 in phi1
20.456 * [backup-simplify]: Simplify phi2 into phi2
20.456 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
20.456 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
20.456 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
20.456 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2))
20.456 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0
20.457 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2))
20.457 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 phi1)) 2) (pow (sin (/ -1 phi2)) 2)) in phi1
20.457 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 phi1)) 2) in phi1
20.457 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
20.457 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
20.457 * [taylor]: Taking taylor expansion of -1 in phi1
20.457 * [backup-simplify]: Simplify -1 into -1
20.457 * [taylor]: Taking taylor expansion of phi1 in phi1
20.457 * [backup-simplify]: Simplify 0 into 0
20.457 * [backup-simplify]: Simplify 1 into 1
20.457 * [backup-simplify]: Simplify (/ -1 1) into -1
20.457 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
20.457 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 phi2)) 2) in phi1
20.457 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
20.457 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
20.457 * [taylor]: Taking taylor expansion of -1 in phi1
20.457 * [backup-simplify]: Simplify -1 into -1
20.457 * [taylor]: Taking taylor expansion of phi2 in phi1
20.457 * [backup-simplify]: Simplify phi2 into phi2
20.457 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
20.457 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
20.457 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
20.457 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2))
20.457 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0
20.457 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2))
20.458 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi1))) into (pow (sin (/ -1 phi1)) 2)
20.458 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) (sin (/ -1 phi2))) into (pow (sin (/ -1 phi2)) 2)
20.458 * [backup-simplify]: Simplify (* (pow (sin (/ -1 phi1)) 2) (pow (sin (/ -1 phi2)) 2)) into (* (pow (sin (/ -1 phi1)) 2) (pow (sin (/ -1 phi2)) 2))
20.458 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 phi1)) 2) (pow (sin (/ -1 phi2)) 2)) in phi2
20.458 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 phi1)) 2) in phi2
20.458 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
20.458 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
20.458 * [taylor]: Taking taylor expansion of -1 in phi2
20.458 * [backup-simplify]: Simplify -1 into -1
20.458 * [taylor]: Taking taylor expansion of phi1 in phi2
20.458 * [backup-simplify]: Simplify phi1 into phi1
20.458 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
20.458 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
20.458 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
20.458 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1))
20.458 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0
20.458 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1))
20.458 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 phi2)) 2) in phi2
20.458 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
20.458 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
20.458 * [taylor]: Taking taylor expansion of -1 in phi2
20.458 * [backup-simplify]: Simplify -1 into -1
20.458 * [taylor]: Taking taylor expansion of phi2 in phi2
20.458 * [backup-simplify]: Simplify 0 into 0
20.458 * [backup-simplify]: Simplify 1 into 1
20.459 * [backup-simplify]: Simplify (/ -1 1) into -1
20.459 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
20.459 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi1))) into (pow (sin (/ -1 phi1)) 2)
20.459 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) (sin (/ -1 phi2))) into (pow (sin (/ -1 phi2)) 2)
20.459 * [backup-simplify]: Simplify (* (pow (sin (/ -1 phi1)) 2) (pow (sin (/ -1 phi2)) 2)) into (* (pow (sin (/ -1 phi1)) 2) (pow (sin (/ -1 phi2)) 2))
20.459 * [backup-simplify]: Simplify (* (pow (sin (/ -1 phi1)) 2) (pow (sin (/ -1 phi2)) 2)) into (* (pow (sin (/ -1 phi1)) 2) (pow (sin (/ -1 phi2)) 2))
20.459 * [backup-simplify]: Simplify (+ 0) into 0
20.460 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0
20.460 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0
20.460 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.461 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0
20.461 * [backup-simplify]: Simplify (+ 0 0) into 0
20.461 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 (sin (/ -1 phi2)))) into 0
20.461 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi1)))) into 0
20.461 * [backup-simplify]: Simplify (+ (* (pow (sin (/ -1 phi1)) 2) 0) (* 0 (pow (sin (/ -1 phi2)) 2))) into 0
20.461 * [taylor]: Taking taylor expansion of 0 in phi2
20.461 * [backup-simplify]: Simplify 0 into 0
20.461 * [backup-simplify]: Simplify 0 into 0
20.461 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 (sin (/ -1 phi2)))) into 0
20.462 * [backup-simplify]: Simplify (+ 0) into 0
20.462 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0
20.462 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0
20.463 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.463 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0
20.463 * [backup-simplify]: Simplify (+ 0 0) into 0
20.463 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi1)))) into 0
20.463 * [backup-simplify]: Simplify (+ (* (pow (sin (/ -1 phi1)) 2) 0) (* 0 (pow (sin (/ -1 phi2)) 2))) into 0
20.463 * [backup-simplify]: Simplify 0 into 0
20.464 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
20.464 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
20.464 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
20.465 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
20.465 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
20.465 * [backup-simplify]: Simplify (+ 0 0) into 0
20.466 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
20.466 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi1))))) into 0
20.466 * [backup-simplify]: Simplify (+ (* (pow (sin (/ -1 phi1)) 2) 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 phi2)) 2)))) into 0
20.466 * [taylor]: Taking taylor expansion of 0 in phi2
20.466 * [backup-simplify]: Simplify 0 into 0
20.466 * [backup-simplify]: Simplify 0 into 0
20.466 * [backup-simplify]: Simplify 0 into 0
20.467 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
20.467 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
20.468 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
20.468 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
20.468 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
20.469 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
20.469 * [backup-simplify]: Simplify (+ 0 0) into 0
20.469 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi1))))) into 0
20.470 * [backup-simplify]: Simplify (+ (* (pow (sin (/ -1 phi1)) 2) 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 phi2)) 2)))) into 0
20.470 * [backup-simplify]: Simplify 0 into 0
20.470 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
20.471 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
20.471 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
20.473 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
20.474 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
20.474 * [backup-simplify]: Simplify (+ 0 0) into 0
20.475 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0
20.476 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi1)))))) into 0
20.477 * [backup-simplify]: Simplify (+ (* (pow (sin (/ -1 phi1)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 phi2)) 2))))) into 0
20.477 * [taylor]: Taking taylor expansion of 0 in phi2
20.477 * [backup-simplify]: Simplify 0 into 0
20.477 * [backup-simplify]: Simplify 0 into 0
20.477 * [backup-simplify]: Simplify (* (pow (sin (/ -1 (/ 1 (- phi1)))) 2) (pow (sin (/ -1 (/ 1 (- phi2)))) 2)) into (* (pow (sin phi1) 2) (pow (sin phi2) 2))
20.477 * * * * [progress]: [ 4 / 4 ] generating series at (2)
20.478 * [backup-simplify]: Simplify (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
20.478 * [approximate]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in (phi1 phi2 lambda1 lambda2 R) around 0
20.478 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R
20.478 * [taylor]: Taking taylor expansion of R in R
20.478 * [backup-simplify]: Simplify 0 into 0
20.478 * [backup-simplify]: Simplify 1 into 1
20.478 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R
20.479 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
20.479 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
20.479 * [taylor]: Taking taylor expansion of R in lambda2
20.479 * [backup-simplify]: Simplify R into R
20.479 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
20.479 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
20.479 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
20.479 * [taylor]: Taking taylor expansion of R in lambda1
20.479 * [backup-simplify]: Simplify R into R
20.479 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
20.480 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
20.480 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2
20.480 * [taylor]: Taking taylor expansion of R in phi2
20.480 * [backup-simplify]: Simplify R into R
20.480 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
20.481 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
20.481 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1
20.481 * [taylor]: Taking taylor expansion of R in phi1
20.481 * [backup-simplify]: Simplify R into R
20.481 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
20.481 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
20.481 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1
20.481 * [taylor]: Taking taylor expansion of R in phi1
20.481 * [backup-simplify]: Simplify R into R
20.481 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
20.482 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
20.483 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
20.483 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2
20.483 * [taylor]: Taking taylor expansion of R in phi2
20.483 * [backup-simplify]: Simplify R into R
20.483 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
20.483 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
20.484 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
20.484 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
20.484 * [taylor]: Taking taylor expansion of R in lambda1
20.484 * [backup-simplify]: Simplify R into R
20.484 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
20.485 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
20.485 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
20.485 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
20.485 * [taylor]: Taking taylor expansion of R in lambda2
20.485 * [backup-simplify]: Simplify R into R
20.485 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
20.486 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
20.486 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
20.486 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R
20.486 * [taylor]: Taking taylor expansion of R in R
20.486 * [backup-simplify]: Simplify 0 into 0
20.486 * [backup-simplify]: Simplify 1 into 1
20.486 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R
20.486 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
20.487 * [backup-simplify]: Simplify (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into 0
20.487 * [backup-simplify]: Simplify 0 into 0
20.487 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
20.487 * [taylor]: Taking taylor expansion of 0 in phi2
20.487 * [backup-simplify]: Simplify 0 into 0
20.487 * [taylor]: Taking taylor expansion of 0 in lambda1
20.487 * [backup-simplify]: Simplify 0 into 0
20.487 * [taylor]: Taking taylor expansion of 0 in lambda2
20.487 * [backup-simplify]: Simplify 0 into 0
20.487 * [taylor]: Taking taylor expansion of 0 in R
20.487 * [backup-simplify]: Simplify 0 into 0
20.487 * [backup-simplify]: Simplify 0 into 0
20.488 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
20.488 * [taylor]: Taking taylor expansion of 0 in lambda1
20.488 * [backup-simplify]: Simplify 0 into 0
20.488 * [taylor]: Taking taylor expansion of 0 in lambda2
20.488 * [backup-simplify]: Simplify 0 into 0
20.488 * [taylor]: Taking taylor expansion of 0 in R
20.488 * [backup-simplify]: Simplify 0 into 0
20.488 * [backup-simplify]: Simplify 0 into 0
20.488 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
20.488 * [taylor]: Taking taylor expansion of 0 in lambda2
20.488 * [backup-simplify]: Simplify 0 into 0
20.488 * [taylor]: Taking taylor expansion of 0 in R
20.488 * [backup-simplify]: Simplify 0 into 0
20.488 * [backup-simplify]: Simplify 0 into 0
20.488 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
20.488 * [taylor]: Taking taylor expansion of 0 in R
20.488 * [backup-simplify]: Simplify 0 into 0
20.489 * [backup-simplify]: Simplify 0 into 0
20.489 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
20.489 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
20.490 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0
20.490 * [taylor]: Taking taylor expansion of 0 in phi2
20.490 * [backup-simplify]: Simplify 0 into 0
20.490 * [taylor]: Taking taylor expansion of 0 in lambda1
20.490 * [backup-simplify]: Simplify 0 into 0
20.490 * [taylor]: Taking taylor expansion of 0 in lambda2
20.490 * [backup-simplify]: Simplify 0 into 0
20.490 * [taylor]: Taking taylor expansion of 0 in R
20.490 * [backup-simplify]: Simplify 0 into 0
20.490 * [backup-simplify]: Simplify 0 into 0
20.490 * [taylor]: Taking taylor expansion of 0 in lambda1
20.490 * [backup-simplify]: Simplify 0 into 0
20.490 * [taylor]: Taking taylor expansion of 0 in lambda2
20.490 * [backup-simplify]: Simplify 0 into 0
20.490 * [taylor]: Taking taylor expansion of 0 in R
20.490 * [backup-simplify]: Simplify 0 into 0
20.490 * [backup-simplify]: Simplify 0 into 0
20.491 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0
20.491 * [taylor]: Taking taylor expansion of 0 in lambda1
20.491 * [backup-simplify]: Simplify 0 into 0
20.491 * [taylor]: Taking taylor expansion of 0 in lambda2
20.491 * [backup-simplify]: Simplify 0 into 0
20.491 * [taylor]: Taking taylor expansion of 0 in R
20.491 * [backup-simplify]: Simplify 0 into 0
20.491 * [backup-simplify]: Simplify 0 into 0
20.491 * [taylor]: Taking taylor expansion of 0 in lambda2
20.491 * [backup-simplify]: Simplify 0 into 0
20.491 * [taylor]: Taking taylor expansion of 0 in R
20.491 * [backup-simplify]: Simplify 0 into 0
20.491 * [backup-simplify]: Simplify 0 into 0
20.491 * [taylor]: Taking taylor expansion of 0 in lambda2
20.491 * [backup-simplify]: Simplify 0 into 0
20.491 * [taylor]: Taking taylor expansion of 0 in R
20.491 * [backup-simplify]: Simplify 0 into 0
20.491 * [backup-simplify]: Simplify 0 into 0
20.492 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0
20.492 * [taylor]: Taking taylor expansion of 0 in lambda2
20.492 * [backup-simplify]: Simplify 0 into 0
20.492 * [taylor]: Taking taylor expansion of 0 in R
20.492 * [backup-simplify]: Simplify 0 into 0
20.492 * [backup-simplify]: Simplify 0 into 0
20.493 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* R (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
20.493 * [backup-simplify]: Simplify (* (acos (+ (cbrt (* (* (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) (/ 1 R)) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
20.493 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
20.493 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R
20.493 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R
20.494 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
20.494 * [taylor]: Taking taylor expansion of R in R
20.494 * [backup-simplify]: Simplify 0 into 0
20.494 * [backup-simplify]: Simplify 1 into 1
20.494 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
20.494 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2
20.494 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
20.495 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
20.495 * [taylor]: Taking taylor expansion of R in lambda2
20.495 * [backup-simplify]: Simplify R into R
20.495 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
20.495 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1
20.495 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
20.496 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
20.496 * [taylor]: Taking taylor expansion of R in lambda1
20.496 * [backup-simplify]: Simplify R into R
20.496 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
20.496 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2
20.496 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
20.496 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
20.496 * [taylor]: Taking taylor expansion of R in phi2
20.497 * [backup-simplify]: Simplify R into R
20.497 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
20.497 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1
20.497 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
20.497 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
20.497 * [taylor]: Taking taylor expansion of R in phi1
20.497 * [backup-simplify]: Simplify R into R
20.498 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
20.498 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1
20.498 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
20.498 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
20.498 * [taylor]: Taking taylor expansion of R in phi1
20.498 * [backup-simplify]: Simplify R into R
20.499 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
20.499 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2
20.499 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
20.499 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
20.499 * [taylor]: Taking taylor expansion of R in phi2
20.499 * [backup-simplify]: Simplify R into R
20.500 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
20.500 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1
20.500 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
20.500 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
20.500 * [taylor]: Taking taylor expansion of R in lambda1
20.500 * [backup-simplify]: Simplify R into R
20.500 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
20.500 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2
20.501 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
20.501 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
20.501 * [taylor]: Taking taylor expansion of R in lambda2
20.501 * [backup-simplify]: Simplify R into R
20.501 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
20.501 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R
20.501 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R
20.502 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
20.502 * [taylor]: Taking taylor expansion of R in R
20.502 * [backup-simplify]: Simplify 0 into 0
20.502 * [backup-simplify]: Simplify 1 into 1
20.502 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
20.503 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
20.503 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
20.504 * [taylor]: Taking taylor expansion of 0 in phi2
20.504 * [backup-simplify]: Simplify 0 into 0
20.504 * [taylor]: Taking taylor expansion of 0 in lambda1
20.504 * [backup-simplify]: Simplify 0 into 0
20.504 * [taylor]: Taking taylor expansion of 0 in lambda2
20.504 * [backup-simplify]: Simplify 0 into 0
20.504 * [taylor]: Taking taylor expansion of 0 in R
20.504 * [backup-simplify]: Simplify 0 into 0
20.504 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
20.504 * [taylor]: Taking taylor expansion of 0 in lambda1
20.504 * [backup-simplify]: Simplify 0 into 0
20.504 * [taylor]: Taking taylor expansion of 0 in lambda2
20.504 * [backup-simplify]: Simplify 0 into 0
20.504 * [taylor]: Taking taylor expansion of 0 in R
20.504 * [backup-simplify]: Simplify 0 into 0
20.505 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
20.505 * [taylor]: Taking taylor expansion of 0 in lambda2
20.505 * [backup-simplify]: Simplify 0 into 0
20.505 * [taylor]: Taking taylor expansion of 0 in R
20.505 * [backup-simplify]: Simplify 0 into 0
20.505 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
20.505 * [taylor]: Taking taylor expansion of 0 in R
20.505 * [backup-simplify]: Simplify 0 into 0
20.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)))) into 0
20.507 * [backup-simplify]: Simplify 0 into 0
20.508 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
20.508 * [taylor]: Taking taylor expansion of 0 in phi2
20.508 * [backup-simplify]: Simplify 0 into 0
20.508 * [taylor]: Taking taylor expansion of 0 in lambda1
20.508 * [backup-simplify]: Simplify 0 into 0
20.508 * [taylor]: Taking taylor expansion of 0 in lambda2
20.508 * [backup-simplify]: Simplify 0 into 0
20.508 * [taylor]: Taking taylor expansion of 0 in R
20.508 * [backup-simplify]: Simplify 0 into 0
20.508 * [taylor]: Taking taylor expansion of 0 in lambda1
20.508 * [backup-simplify]: Simplify 0 into 0
20.509 * [taylor]: Taking taylor expansion of 0 in lambda2
20.509 * [backup-simplify]: Simplify 0 into 0
20.509 * [taylor]: Taking taylor expansion of 0 in R
20.509 * [backup-simplify]: Simplify 0 into 0
20.510 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
20.510 * [taylor]: Taking taylor expansion of 0 in lambda1
20.510 * [backup-simplify]: Simplify 0 into 0
20.510 * [taylor]: Taking taylor expansion of 0 in lambda2
20.510 * [backup-simplify]: Simplify 0 into 0
20.510 * [taylor]: Taking taylor expansion of 0 in R
20.510 * [backup-simplify]: Simplify 0 into 0
20.510 * [taylor]: Taking taylor expansion of 0 in lambda2
20.510 * [backup-simplify]: Simplify 0 into 0
20.510 * [taylor]: Taking taylor expansion of 0 in R
20.510 * [backup-simplify]: Simplify 0 into 0
20.510 * [taylor]: Taking taylor expansion of 0 in lambda2
20.510 * [backup-simplify]: Simplify 0 into 0
20.510 * [taylor]: Taking taylor expansion of 0 in R
20.510 * [backup-simplify]: Simplify 0 into 0
20.511 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
20.511 * [taylor]: Taking taylor expansion of 0 in lambda2
20.511 * [backup-simplify]: Simplify 0 into 0
20.511 * [taylor]: Taking taylor expansion of 0 in R
20.511 * [backup-simplify]: Simplify 0 into 0
20.511 * [taylor]: Taking taylor expansion of 0 in R
20.511 * [backup-simplify]: Simplify 0 into 0
20.511 * [taylor]: Taking taylor expansion of 0 in R
20.511 * [backup-simplify]: Simplify 0 into 0
20.511 * [taylor]: Taking taylor expansion of 0 in R
20.511 * [backup-simplify]: Simplify 0 into 0
20.512 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
20.512 * [taylor]: Taking taylor expansion of 0 in R
20.512 * [backup-simplify]: Simplify 0 into 0
20.513 * [backup-simplify]: Simplify 0 into 0
20.513 * [backup-simplify]: Simplify 0 into 0
20.513 * [backup-simplify]: Simplify 0 into 0
20.513 * [backup-simplify]: Simplify 0 into 0
20.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.518 * [backup-simplify]: Simplify 0 into 0
20.519 * [backup-simplify]: Simplify (* (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R)
20.521 * [backup-simplify]: Simplify (* (acos (+ (cbrt (* (* (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2))))) (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) (/ 1 (- R))) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))
20.521 * [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
20.521 * [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
20.521 * [taylor]: Taking taylor expansion of -1 in R
20.521 * [backup-simplify]: Simplify -1 into -1
20.521 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R
20.521 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R
20.522 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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))))))))
20.522 * [taylor]: Taking taylor expansion of R in R
20.522 * [backup-simplify]: Simplify 0 into 0
20.522 * [backup-simplify]: Simplify 1 into 1
20.523 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 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))))))))
20.523 * [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
20.523 * [taylor]: Taking taylor expansion of -1 in lambda2
20.523 * [backup-simplify]: Simplify -1 into -1
20.523 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda2
20.523 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2
20.524 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
20.524 * [taylor]: Taking taylor expansion of R in lambda2
20.524 * [backup-simplify]: Simplify R into R
20.524 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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)
20.524 * [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
20.525 * [taylor]: Taking taylor expansion of -1 in lambda1
20.525 * [backup-simplify]: Simplify -1 into -1
20.525 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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
20.525 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
20.525 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
20.525 * [taylor]: Taking taylor expansion of R in lambda1
20.525 * [backup-simplify]: Simplify R into R
20.526 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)
20.526 * [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
20.526 * [taylor]: Taking taylor expansion of -1 in phi2
20.526 * [backup-simplify]: Simplify -1 into -1
20.526 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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
20.526 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
20.527 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
20.527 * [taylor]: Taking taylor expansion of R in phi2
20.527 * [backup-simplify]: Simplify R into R
20.528 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)
20.528 * [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
20.528 * [taylor]: Taking taylor expansion of -1 in phi1
20.528 * [backup-simplify]: Simplify -1 into -1
20.528 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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
20.528 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
20.529 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
20.529 * [taylor]: Taking taylor expansion of R in phi1
20.529 * [backup-simplify]: Simplify R into R
20.530 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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)
20.530 * [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
20.530 * [taylor]: Taking taylor expansion of -1 in phi1
20.530 * [backup-simplify]: Simplify -1 into -1
20.530 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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
20.530 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
20.530 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
20.530 * [taylor]: Taking taylor expansion of R in phi1
20.530 * [backup-simplify]: Simplify R into R
20.531 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)
20.531 * [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))
20.531 * [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
20.531 * [taylor]: Taking taylor expansion of -1 in phi2
20.531 * [backup-simplify]: Simplify -1 into -1
20.531 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in phi2
20.531 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2
20.532 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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))))))))
20.532 * [taylor]: Taking taylor expansion of R in phi2
20.532 * [backup-simplify]: Simplify R into R
20.532 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 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)
20.533 * [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))
20.533 * [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
20.533 * [taylor]: Taking taylor expansion of -1 in lambda1
20.533 * [backup-simplify]: Simplify -1 into -1
20.533 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1
20.533 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
20.533 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
20.533 * [taylor]: Taking taylor expansion of R in lambda1
20.533 * [backup-simplify]: Simplify R into R
20.534 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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)
20.534 * [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))
20.534 * [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
20.534 * [taylor]: Taking taylor expansion of -1 in lambda2
20.534 * [backup-simplify]: Simplify -1 into -1
20.534 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in lambda2
20.534 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2
20.535 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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))))))))
20.535 * [taylor]: Taking taylor expansion of R in lambda2
20.535 * [backup-simplify]: Simplify R into R
20.535 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 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)
20.536 * [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))
20.536 * [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
20.536 * [taylor]: Taking taylor expansion of -1 in R
20.536 * [backup-simplify]: Simplify -1 into -1
20.536 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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
20.536 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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
20.536 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
20.536 * [taylor]: Taking taylor expansion of R in R
20.536 * [backup-simplify]: Simplify 0 into 0
20.536 * [backup-simplify]: Simplify 1 into 1
20.536 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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))))))))
20.537 * [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)))))))))
20.537 * [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)))))))))
20.538 * [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
20.539 * [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
20.539 * [taylor]: Taking taylor expansion of 0 in phi2
20.539 * [backup-simplify]: Simplify 0 into 0
20.539 * [taylor]: Taking taylor expansion of 0 in lambda1
20.539 * [backup-simplify]: Simplify 0 into 0
20.539 * [taylor]: Taking taylor expansion of 0 in lambda2
20.539 * [backup-simplify]: Simplify 0 into 0
20.539 * [taylor]: Taking taylor expansion of 0 in R
20.539 * [backup-simplify]: Simplify 0 into 0
20.540 * [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
20.540 * [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
20.540 * [taylor]: Taking taylor expansion of 0 in lambda1
20.540 * [backup-simplify]: Simplify 0 into 0
20.540 * [taylor]: Taking taylor expansion of 0 in lambda2
20.540 * [backup-simplify]: Simplify 0 into 0
20.540 * [taylor]: Taking taylor expansion of 0 in R
20.540 * [backup-simplify]: Simplify 0 into 0
20.541 * [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
20.542 * [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
20.542 * [taylor]: Taking taylor expansion of 0 in lambda2
20.542 * [backup-simplify]: Simplify 0 into 0
20.542 * [taylor]: Taking taylor expansion of 0 in R
20.542 * [backup-simplify]: Simplify 0 into 0
20.543 * [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
20.543 * [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
20.543 * [taylor]: Taking taylor expansion of 0 in R
20.543 * [backup-simplify]: Simplify 0 into 0
20.544 * [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
20.545 * [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
20.545 * [backup-simplify]: Simplify 0 into 0
20.546 * [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
20.547 * [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
20.547 * [taylor]: Taking taylor expansion of 0 in phi2
20.547 * [backup-simplify]: Simplify 0 into 0
20.547 * [taylor]: Taking taylor expansion of 0 in lambda1
20.547 * [backup-simplify]: Simplify 0 into 0
20.547 * [taylor]: Taking taylor expansion of 0 in lambda2
20.547 * [backup-simplify]: Simplify 0 into 0
20.547 * [taylor]: Taking taylor expansion of 0 in R
20.547 * [backup-simplify]: Simplify 0 into 0
20.547 * [taylor]: Taking taylor expansion of 0 in lambda1
20.547 * [backup-simplify]: Simplify 0 into 0
20.547 * [taylor]: Taking taylor expansion of 0 in lambda2
20.547 * [backup-simplify]: Simplify 0 into 0
20.547 * [taylor]: Taking taylor expansion of 0 in R
20.547 * [backup-simplify]: Simplify 0 into 0
20.548 * [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
20.549 * [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
20.549 * [taylor]: Taking taylor expansion of 0 in lambda1
20.549 * [backup-simplify]: Simplify 0 into 0
20.549 * [taylor]: Taking taylor expansion of 0 in lambda2
20.549 * [backup-simplify]: Simplify 0 into 0
20.549 * [taylor]: Taking taylor expansion of 0 in R
20.549 * [backup-simplify]: Simplify 0 into 0
20.549 * [taylor]: Taking taylor expansion of 0 in lambda2
20.549 * [backup-simplify]: Simplify 0 into 0
20.549 * [taylor]: Taking taylor expansion of 0 in R
20.549 * [backup-simplify]: Simplify 0 into 0
20.549 * [taylor]: Taking taylor expansion of 0 in lambda2
20.549 * [backup-simplify]: Simplify 0 into 0
20.549 * [taylor]: Taking taylor expansion of 0 in R
20.549 * [backup-simplify]: Simplify 0 into 0
20.549 * [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
20.550 * [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
20.550 * [taylor]: Taking taylor expansion of 0 in lambda2
20.551 * [backup-simplify]: Simplify 0 into 0
20.551 * [taylor]: Taking taylor expansion of 0 in R
20.551 * [backup-simplify]: Simplify 0 into 0
20.551 * [taylor]: Taking taylor expansion of 0 in R
20.551 * [backup-simplify]: Simplify 0 into 0
20.551 * [taylor]: Taking taylor expansion of 0 in R
20.551 * [backup-simplify]: Simplify 0 into 0
20.551 * [taylor]: Taking taylor expansion of 0 in R
20.551 * [backup-simplify]: Simplify 0 into 0
20.551 * [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
20.552 * [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
20.552 * [taylor]: Taking taylor expansion of 0 in R
20.552 * [backup-simplify]: Simplify 0 into 0
20.552 * [backup-simplify]: Simplify 0 into 0
20.552 * [backup-simplify]: Simplify 0 into 0
20.553 * [backup-simplify]: Simplify 0 into 0
20.553 * [backup-simplify]: Simplify 0 into 0
20.554 * [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
20.555 * [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
20.555 * [backup-simplify]: Simplify 0 into 0
20.556 * [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))))))
20.556 * * * [progress]: simplifying candidates
20.556 * * * * [progress]: [ 1 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) 1/3) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
20.556 * * * * [progress]: [ 2 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) 1) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
20.556 * * * * [progress]: [ 3 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (log (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
20.556 * * * * [progress]: [ 4 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
20.556 * * * * [progress]: [ 5 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cbrt (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
20.557 * [simplify]: Simplifying (cbrt (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))))
20.557 * * [simplify]: iters left: 6 (7 enodes)
20.558 * * [simplify]: iters left: 5 (29 enodes)
20.564 * * [simplify]: iters left: 4 (48 enodes)
20.572 * * [simplify]: Extracting #0: cost 1 inf + 0
20.572 * * [simplify]: Extracting #1: cost 3 inf + 0
20.572 * * [simplify]: Extracting #2: cost 11 inf + 0
20.572 * * [simplify]: Extracting #3: cost 20 inf + 0
20.572 * * [simplify]: Extracting #4: cost 17 inf + 63
20.572 * * [simplify]: Extracting #5: cost 12 inf + 488
20.573 * * [simplify]: Extracting #6: cost 2 inf + 2186
20.573 * * [simplify]: Extracting #7: cost 0 inf + 2750
20.574 * [simplify]: Simplified to (cbrt (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))))
20.574 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cbrt (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)))) (cbrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
20.574 * * * * [progress]: [ 6 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (cbrt (* (* (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))))) (cbrt (* (* 2 2) 2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
20.574 * [simplify]: Simplifying (cbrt (* (* (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))))
20.574 * * [simplify]: iters left: 6 (10 enodes)
20.576 * * [simplify]: iters left: 5 (36 enodes)
20.581 * * [simplify]: iters left: 4 (56 enodes)
20.592 * * [simplify]: iters left: 3 (154 enodes)
20.653 * * [simplify]: iters left: 2 (397 enodes)
20.813 * * [simplify]: Extracting #0: cost 1 inf + 0
20.813 * * [simplify]: Extracting #1: cost 6 inf + 0
20.813 * * [simplify]: Extracting #2: cost 39 inf + 0
20.813 * * [simplify]: Extracting #3: cost 152 inf + 1
20.814 * * [simplify]: Extracting #4: cost 156 inf + 1598
20.819 * * [simplify]: Extracting #5: cost 69 inf + 27522
20.840 * * [simplify]: Extracting #6: cost 5 inf + 53323
20.854 * * [simplify]: Extracting #7: cost 0 inf + 55653
20.871 * [simplify]: Simplified to (- (cos (- phi1 phi2)) (cos (+ phi2 phi1)))
20.871 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) (cbrt (* (* 2 2) 2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
20.871 * * * * [progress]: [ 7 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (cbrt (* (* (* (sin phi1) (sin phi2)) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))))) (cbrt (* 2 2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
20.872 * [simplify]: Simplifying (cbrt (* (* (* (sin phi1) (sin phi2)) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))))
20.872 * * [simplify]: iters left: 6 (13 enodes)
20.878 * * [simplify]: iters left: 5 (51 enodes)
20.893 * * [simplify]: iters left: 4 (99 enodes)
20.921 * * [simplify]: iters left: 3 (320 enodes)
21.088 * * [simplify]: Extracting #0: cost 1 inf + 0
21.088 * * [simplify]: Extracting #1: cost 3 inf + 0
21.088 * * [simplify]: Extracting #2: cost 26 inf + 0
21.089 * * [simplify]: Extracting #3: cost 125 inf + 0
21.090 * * [simplify]: Extracting #4: cost 164 inf + 509
21.091 * * [simplify]: Extracting #5: cost 159 inf + 1263
21.097 * * [simplify]: Extracting #6: cost 95 inf + 21532
21.114 * * [simplify]: Extracting #7: cost 19 inf + 51283
21.126 * * [simplify]: Extracting #8: cost 0 inf + 57661
21.140 * [simplify]: Simplified to (cbrt (* (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (* (sin phi2) (sin phi1)) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))))))
21.140 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (cbrt (* (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (* (sin phi2) (sin phi1)) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))))) (cbrt (* 2 2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
21.140 * * * * [progress]: [ 8 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (cbrt (* (* (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))))) (cbrt (* 2 2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
21.140 * [simplify]: Simplifying (cbrt (* (* (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))))
21.140 * * [simplify]: iters left: 6 (13 enodes)
21.143 * * [simplify]: iters left: 5 (49 enodes)
21.151 * * [simplify]: iters left: 4 (81 enodes)
21.168 * * [simplify]: iters left: 3 (218 enodes)
21.282 * * [simplify]: Extracting #0: cost 1 inf + 0
21.282 * * [simplify]: Extracting #1: cost 3 inf + 0
21.282 * * [simplify]: Extracting #2: cost 25 inf + 0
21.283 * * [simplify]: Extracting #3: cost 115 inf + 0
21.284 * * [simplify]: Extracting #4: cost 129 inf + 286
21.286 * * [simplify]: Extracting #5: cost 112 inf + 3924
21.296 * * [simplify]: Extracting #6: cost 34 inf + 32381
21.316 * * [simplify]: Extracting #7: cost 0 inf + 46408
21.338 * * [simplify]: Extracting #8: cost 0 inf + 46248
21.358 * [simplify]: Simplified to (cbrt (* (* (* (sin phi1) (sin phi2)) (- (cos (- phi1 phi2)) (cos (+ phi2 phi1)))) (- (cos (- phi1 phi2)) (cos (+ phi2 phi1)))))
21.358 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (cbrt (* (* (* (sin phi1) (sin phi2)) (- (cos (- phi1 phi2)) (cos (+ phi2 phi1)))) (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))))) (cbrt (* 2 2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
21.358 * * * * [progress]: [ 9 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))))) (cbrt 2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
21.359 * [simplify]: Simplifying (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))))
21.359 * * [simplify]: iters left: 6 (13 enodes)
21.365 * * [simplify]: iters left: 5 (55 enodes)
21.384 * * [simplify]: iters left: 4 (115 enodes)
21.436 * * [simplify]: iters left: 3 (313 enodes)
21.594 * * [simplify]: Extracting #0: cost 1 inf + 0
21.595 * * [simplify]: Extracting #1: cost 3 inf + 0
21.595 * * [simplify]: Extracting #2: cost 29 inf + 0
21.595 * * [simplify]: Extracting #3: cost 94 inf + 0
21.596 * * [simplify]: Extracting #4: cost 112 inf + 751
21.597 * * [simplify]: Extracting #5: cost 99 inf + 3098
21.599 * * [simplify]: Extracting #6: cost 62 inf + 12933
21.607 * * [simplify]: Extracting #7: cost 15 inf + 29466
21.625 * * [simplify]: Extracting #8: cost 0 inf + 36776
21.641 * [simplify]: Simplified to (cbrt (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))))
21.641 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (cbrt (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))))) (cbrt 2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
21.641 * * * * [progress]: [ 10 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (cbrt (* (* (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))) (* (sin phi1) (sin phi2)))) (cbrt (* 2 2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
21.642 * [simplify]: Simplifying (cbrt (* (* (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))) (* (sin phi1) (sin phi2))))
21.642 * * [simplify]: iters left: 6 (13 enodes)
21.647 * * [simplify]: iters left: 5 (50 enodes)
21.663 * * [simplify]: iters left: 4 (79 enodes)
21.690 * * [simplify]: iters left: 3 (179 enodes)
21.760 * * [simplify]: Extracting #0: cost 1 inf + 0
21.760 * * [simplify]: Extracting #1: cost 3 inf + 0
21.760 * * [simplify]: Extracting #2: cost 26 inf + 0
21.761 * * [simplify]: Extracting #3: cost 112 inf + 0
21.762 * * [simplify]: Extracting #4: cost 149 inf + 124
21.763 * * [simplify]: Extracting #5: cost 134 inf + 2978
21.771 * * [simplify]: Extracting #6: cost 63 inf + 26961
21.787 * * [simplify]: Extracting #7: cost 0 inf + 51306
21.797 * [simplify]: Simplified to (cbrt (* (sin phi1) (* (sin phi2) (* (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) (- (cos (- phi1 phi2)) (cos (+ phi2 phi1)))))))
21.797 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (cbrt (* (sin phi1) (* (sin phi2) (* (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))))))) (cbrt (* 2 2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
21.797 * * * * [progress]: [ 11 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (cbrt (* (* (* (sin phi1) (sin phi2)) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))) (* (sin phi1) (sin phi2)))) (cbrt 2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
21.797 * [simplify]: Simplifying (cbrt (* (* (* (sin phi1) (sin phi2)) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))) (* (sin phi1) (sin phi2))))
21.797 * * [simplify]: iters left: 6 (13 enodes)
21.800 * * [simplify]: iters left: 5 (51 enodes)
21.808 * * [simplify]: iters left: 4 (96 enodes)
21.840 * * [simplify]: iters left: 3 (259 enodes)
21.946 * * [simplify]: Extracting #0: cost 1 inf + 0
21.946 * * [simplify]: Extracting #1: cost 3 inf + 0
21.946 * * [simplify]: Extracting #2: cost 34 inf + 0
21.946 * * [simplify]: Extracting #3: cost 108 inf + 0
21.947 * * [simplify]: Extracting #4: cost 121 inf + 1176
21.949 * * [simplify]: Extracting #5: cost 107 inf + 4187
21.957 * * [simplify]: Extracting #6: cost 45 inf + 24952
21.972 * * [simplify]: Extracting #7: cost 2 inf + 41757
21.988 * * [simplify]: Extracting #8: cost 0 inf + 42381
21.997 * [simplify]: Simplified to (cbrt (* (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)))))
21.997 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (cbrt (* (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))))) (cbrt 2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
21.997 * * * * [progress]: [ 12 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (cbrt (* (* (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (cbrt 2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
21.997 * [simplify]: Simplifying (cbrt (* (* (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))))
21.997 * * [simplify]: iters left: 6 (13 enodes)
22.000 * * [simplify]: iters left: 5 (53 enodes)
22.008 * * [simplify]: iters left: 4 (101 enodes)
22.040 * * [simplify]: iters left: 3 (235 enodes)
22.154 * * [simplify]: Extracting #0: cost 1 inf + 0
22.154 * * [simplify]: Extracting #1: cost 3 inf + 0
22.154 * * [simplify]: Extracting #2: cost 30 inf + 0
22.155 * * [simplify]: Extracting #3: cost 98 inf + 0
22.155 * * [simplify]: Extracting #4: cost 118 inf + 286
22.157 * * [simplify]: Extracting #5: cost 93 inf + 5138
22.166 * * [simplify]: Extracting #6: cost 17 inf + 32129
22.181 * * [simplify]: Extracting #7: cost 0 inf + 38922
22.197 * [simplify]: Simplified to (cbrt (* (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))))
22.197 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (cbrt (* (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))))) (cbrt 2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
22.197 * * * * [progress]: [ 13 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))))) (cbrt (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))))) (cbrt (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
22.197 * * * * [progress]: [ 14 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))))) (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
22.197 * * * * [progress]: [ 15 / 96 ] 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))>
22.198 * [simplify]: Simplifying (sin phi1)
22.198 * * [simplify]: iters left: 1 (2 enodes)
22.199 * * [simplify]: Extracting #0: cost 1 inf + 0
22.199 * * [simplify]: Extracting #1: cost 3 inf + 0
22.199 * * [simplify]: Extracting #2: cost 2 inf + 1
22.199 * * [simplify]: Extracting #3: cost 0 inf + 123
22.199 * [simplify]: Simplified to (sin phi1)
22.199 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
22.199 * * * * [progress]: [ 16 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))))) (sqrt (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
22.199 * * * * [progress]: [ 17 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* 1 (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
22.199 * * * * [progress]: [ 18 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (posit16->real (real->posit16 (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
22.199 * * * * [progress]: [ 19 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))>
22.199 * * * * [progress]: [ 20 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (pow (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1) R))>
22.199 * * * * [progress]: [ 21 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
22.200 * * * * [progress]: [ 22 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
22.200 * * * * [progress]: [ 23 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (cbrt (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
22.200 * * * * [progress]: [ 24 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
22.200 * * * * [progress]: [ 25 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
22.200 * * * * [progress]: [ 26 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* 1 (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))>
22.200 * * * * [progress]: [ 27 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (posit16->real (real->posit16 (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
22.200 * * * * [progress]: [ 28 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (* (sin phi1) (sin phi2)) (+ 1 1)) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
22.200 * [simplify]: Simplifying (* (sin phi1) (sin phi2))
22.200 * * [simplify]: iters left: 3 (5 enodes)
22.203 * * [simplify]: iters left: 2 (16 enodes)
22.206 * * [simplify]: Extracting #0: cost 1 inf + 0
22.207 * * [simplify]: Extracting #1: cost 4 inf + 0
22.207 * * [simplify]: Extracting #2: cost 8 inf + 0
22.207 * * [simplify]: Extracting #3: cost 4 inf + 124
22.207 * * [simplify]: Extracting #4: cost 0 inf + 570
22.207 * [simplify]: Simplified to (* (sin phi2) (sin phi1))
22.207 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (* (sin phi2) (sin phi1)) (+ 1 1)) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
22.207 * [simplify]: Simplifying (+ 1 1)
22.207 * * [simplify]: iters left: 2 (2 enodes)
22.209 * * [simplify]: iters left: 1 (9 enodes)
22.211 * * [simplify]: Extracting #0: cost 1 inf + 0
22.211 * * [simplify]: Extracting #1: cost 0 inf + 1
22.211 * [simplify]: Simplified to 2
22.211 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (* (sin phi1) (sin phi2)) 2) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
22.211 * * * * [progress]: [ 29 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (* (sin phi1) (sin phi2)) (+ 1 1)) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
22.211 * [simplify]: Simplifying (* (sin phi1) (sin phi2))
22.211 * * [simplify]: iters left: 3 (5 enodes)
22.212 * * [simplify]: iters left: 2 (16 enodes)
22.215 * * [simplify]: Extracting #0: cost 1 inf + 0
22.215 * * [simplify]: Extracting #1: cost 4 inf + 0
22.215 * * [simplify]: Extracting #2: cost 8 inf + 0
22.215 * * [simplify]: Extracting #3: cost 4 inf + 124
22.215 * * [simplify]: Extracting #4: cost 0 inf + 570
22.215 * [simplify]: Simplified to (* (sin phi2) (sin phi1))
22.215 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (* (sin phi2) (sin phi1)) (+ 1 1)) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
22.215 * [simplify]: Simplifying (+ 1 1)
22.215 * * [simplify]: iters left: 2 (2 enodes)
22.217 * * [simplify]: iters left: 1 (9 enodes)
22.218 * * [simplify]: Extracting #0: cost 1 inf + 0
22.218 * * [simplify]: Extracting #1: cost 0 inf + 1
22.218 * [simplify]: Simplified to 2
22.218 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (* (sin phi1) (sin phi2)) 2) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
22.219 * * * * [progress]: [ 30 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (* (sin phi1) (sin phi2)) (+ 1 1)) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
22.221 * [simplify]: Simplifying (* (sin phi1) (sin phi2))
22.221 * * [simplify]: iters left: 3 (5 enodes)
22.222 * * [simplify]: iters left: 2 (16 enodes)
22.224 * * [simplify]: Extracting #0: cost 1 inf + 0
22.224 * * [simplify]: Extracting #1: cost 4 inf + 0
22.224 * * [simplify]: Extracting #2: cost 8 inf + 0
22.224 * * [simplify]: Extracting #3: cost 4 inf + 124
22.224 * * [simplify]: Extracting #4: cost 0 inf + 570
22.224 * [simplify]: Simplified to (* (sin phi2) (sin phi1))
22.224 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (* (sin phi2) (sin phi1)) (+ 1 1)) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
22.225 * [simplify]: Simplifying (+ 1 1)
22.225 * * [simplify]: iters left: 2 (2 enodes)
22.226 * * [simplify]: iters left: 1 (9 enodes)
22.228 * * [simplify]: Extracting #0: cost 1 inf + 0
22.228 * * [simplify]: Extracting #1: cost 0 inf + 1
22.228 * [simplify]: Simplified to 2
22.228 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (* (sin phi1) (sin phi2)) 2) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
22.228 * * * * [progress]: [ 31 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (* (sin phi1) (sin phi2)) (+ 1 1)) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
22.228 * [simplify]: Simplifying (* (sin phi1) (sin phi2))
22.228 * * [simplify]: iters left: 3 (5 enodes)
22.229 * * [simplify]: iters left: 2 (16 enodes)
22.232 * * [simplify]: Extracting #0: cost 1 inf + 0
22.232 * * [simplify]: Extracting #1: cost 4 inf + 0
22.232 * * [simplify]: Extracting #2: cost 8 inf + 0
22.232 * * [simplify]: Extracting #3: cost 4 inf + 124
22.232 * * [simplify]: Extracting #4: cost 0 inf + 570
22.232 * [simplify]: Simplified to (* (sin phi2) (sin phi1))
22.232 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (* (sin phi2) (sin phi1)) (+ 1 1)) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
22.232 * [simplify]: Simplifying (+ 1 1)
22.232 * * [simplify]: iters left: 2 (2 enodes)
22.234 * * [simplify]: iters left: 1 (9 enodes)
22.235 * * [simplify]: Extracting #0: cost 1 inf + 0
22.235 * * [simplify]: Extracting #1: cost 0 inf + 1
22.235 * [simplify]: Simplified to 2
22.235 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (* (sin phi1) (sin phi2)) 2) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
22.236 * * * * [progress]: [ 32 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) 1) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
22.236 * [simplify]: Simplifying (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))
22.236 * * [simplify]: iters left: 5 (6 enodes)
22.237 * * [simplify]: iters left: 4 (26 enodes)
22.245 * * [simplify]: iters left: 3 (45 enodes)
22.258 * * [simplify]: Extracting #0: cost 1 inf + 0
22.258 * * [simplify]: Extracting #1: cost 9 inf + 0
22.258 * * [simplify]: Extracting #2: cost 18 inf + 0
22.259 * * [simplify]: Extracting #3: cost 13 inf + 265
22.259 * * [simplify]: Extracting #4: cost 9 inf + 650
22.259 * * [simplify]: Extracting #5: cost 2 inf + 1822
22.260 * * [simplify]: Extracting #6: cost 0 inf + 2186
22.261 * [simplify]: Simplified to (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)))
22.261 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) 1) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
22.261 * * * * [progress]: [ 33 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) 1) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
22.262 * [simplify]: Simplifying (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))
22.262 * * [simplify]: iters left: 5 (6 enodes)
22.265 * * [simplify]: iters left: 4 (26 enodes)
22.273 * * [simplify]: iters left: 3 (45 enodes)
22.286 * * [simplify]: Extracting #0: cost 1 inf + 0
22.286 * * [simplify]: Extracting #1: cost 9 inf + 0
22.286 * * [simplify]: Extracting #2: cost 18 inf + 0
22.287 * * [simplify]: Extracting #3: cost 13 inf + 265
22.287 * * [simplify]: Extracting #4: cost 9 inf + 650
22.287 * * [simplify]: Extracting #5: cost 2 inf + 1822
22.288 * * [simplify]: Extracting #6: cost 0 inf + 2186
22.289 * [simplify]: Simplified to (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)))
22.289 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) 1) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
22.289 * * * * [progress]: [ 34 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) 1) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
22.290 * [simplify]: Simplifying (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))
22.290 * * [simplify]: iters left: 5 (6 enodes)
22.293 * * [simplify]: iters left: 4 (26 enodes)
22.301 * * [simplify]: iters left: 3 (45 enodes)
22.315 * * [simplify]: Extracting #0: cost 1 inf + 0
22.315 * * [simplify]: Extracting #1: cost 9 inf + 0
22.315 * * [simplify]: Extracting #2: cost 18 inf + 0
22.315 * * [simplify]: Extracting #3: cost 13 inf + 265
22.315 * * [simplify]: Extracting #4: cost 9 inf + 650
22.316 * * [simplify]: Extracting #5: cost 2 inf + 1822
22.317 * * [simplify]: Extracting #6: cost 0 inf + 2186
22.317 * [simplify]: Simplified to (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)))
22.318 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) 1) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
22.318 * * * * [progress]: [ 35 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) 1) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
22.318 * [simplify]: Simplifying (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))
22.318 * * [simplify]: iters left: 5 (6 enodes)
22.321 * * [simplify]: iters left: 4 (26 enodes)
22.330 * * [simplify]: iters left: 3 (45 enodes)
22.343 * * [simplify]: Extracting #0: cost 1 inf + 0
22.343 * * [simplify]: Extracting #1: cost 9 inf + 0
22.343 * * [simplify]: Extracting #2: cost 18 inf + 0
22.343 * * [simplify]: Extracting #3: cost 13 inf + 265
22.343 * * [simplify]: Extracting #4: cost 9 inf + 650
22.344 * * [simplify]: Extracting #5: cost 2 inf + 1822
22.345 * * [simplify]: Extracting #6: cost 0 inf + 2186
22.345 * [simplify]: Simplified to (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)))
22.345 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) 1) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
22.346 * * * * [progress]: [ 36 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (* (sin phi1) (sin phi2)) 2) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
22.346 * * * * [progress]: [ 37 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (* (sin phi1) (sin phi2)) (+ 1 1)) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
22.346 * [simplify]: Simplifying (* (sin phi1) (sin phi2))
22.346 * * [simplify]: iters left: 3 (5 enodes)
22.348 * * [simplify]: iters left: 2 (16 enodes)
22.354 * * [simplify]: Extracting #0: cost 1 inf + 0
22.354 * * [simplify]: Extracting #1: cost 4 inf + 0
22.354 * * [simplify]: Extracting #2: cost 8 inf + 0
22.354 * * [simplify]: Extracting #3: cost 4 inf + 124
22.354 * * [simplify]: Extracting #4: cost 0 inf + 570
22.354 * [simplify]: Simplified to (* (sin phi2) (sin phi1))
22.355 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (* (sin phi2) (sin phi1)) (+ 1 1)) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
22.355 * * * * [progress]: [ 38 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (* (sin phi1) (sin phi2)) (+ 1 1)) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
22.355 * [simplify]: Simplifying (* (sin phi1) (sin phi2))
22.355 * * [simplify]: iters left: 3 (5 enodes)
22.357 * * [simplify]: iters left: 2 (16 enodes)
22.361 * * [simplify]: Extracting #0: cost 1 inf + 0
22.361 * * [simplify]: Extracting #1: cost 4 inf + 0
22.362 * * [simplify]: Extracting #2: cost 8 inf + 0
22.362 * * [simplify]: Extracting #3: cost 4 inf + 124
22.362 * * [simplify]: Extracting #4: cost 0 inf + 570
22.362 * [simplify]: Simplified to (* (sin phi2) (sin phi1))
22.362 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (* (sin phi2) (sin phi1)) (+ 1 1)) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
22.362 * * * * [progress]: [ 39 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) 1) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
22.362 * * * * [progress]: [ 40 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (exp (+ (+ (log (sin phi1)) (log (sin phi2))) (+ (log (sin phi1)) (log (sin phi2))))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
22.363 * [simplify]: Simplifying (+ (+ (log (sin phi1)) (log (sin phi2))) (+ (log (sin phi1)) (log (sin phi2))))
22.363 * * [simplify]: iters left: 6 (8 enodes)
22.366 * * [simplify]: iters left: 5 (29 enodes)
22.375 * * [simplify]: iters left: 4 (41 enodes)
22.386 * * [simplify]: iters left: 3 (49 enodes)
22.392 * * [simplify]: iters left: 2 (50 enodes)
22.398 * * [simplify]: Extracting #0: cost 1 inf + 0
22.399 * * [simplify]: Extracting #1: cost 9 inf + 0
22.399 * * [simplify]: Extracting #2: cost 18 inf + 0
22.399 * * [simplify]: Extracting #3: cost 22 inf + 0
22.399 * * [simplify]: Extracting #4: cost 20 inf + 2
22.399 * * [simplify]: Extracting #5: cost 16 inf + 316
22.399 * * [simplify]: Extracting #6: cost 0 inf + 4110
22.400 * [simplify]: Simplified to (+ (+ (log (sin phi2)) (log (sin phi1))) (+ (log (sin phi2)) (log (sin phi1))))
22.400 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (exp (+ (+ (log (sin phi2)) (log (sin phi1))) (+ (log (sin phi2)) (log (sin phi1))))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
22.400 * * * * [progress]: [ 41 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (exp (+ (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
22.400 * [simplify]: Simplifying (+ (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))))
22.400 * * [simplify]: iters left: 6 (10 enodes)
22.402 * * [simplify]: iters left: 5 (33 enodes)
22.407 * * [simplify]: iters left: 4 (47 enodes)
22.414 * * [simplify]: iters left: 3 (57 enodes)
22.420 * * [simplify]: iters left: 2 (61 enodes)
22.428 * * [simplify]: Extracting #0: cost 1 inf + 0
22.428 * * [simplify]: Extracting #1: cost 9 inf + 0
22.428 * * [simplify]: Extracting #2: cost 19 inf + 0
22.428 * * [simplify]: Extracting #3: cost 24 inf + 0
22.428 * * [simplify]: Extracting #4: cost 19 inf + 255
22.429 * * [simplify]: Extracting #5: cost 7 inf + 2352
22.430 * * [simplify]: Extracting #6: cost 0 inf + 4154
22.431 * [simplify]: Simplified to (+ (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))))
22.431 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (exp (+ (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
22.431 * * * * [progress]: [ 42 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (exp (+ (log (* (sin phi1) (sin phi2))) (+ (log (sin phi1)) (log (sin phi2))))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
22.432 * [simplify]: Simplifying (+ (log (* (sin phi1) (sin phi2))) (+ (log (sin phi1)) (log (sin phi2))))
22.432 * * [simplify]: iters left: 6 (10 enodes)
22.437 * * [simplify]: iters left: 5 (33 enodes)
22.446 * * [simplify]: iters left: 4 (43 enodes)
22.457 * * [simplify]: iters left: 3 (52 enodes)
22.471 * * [simplify]: iters left: 2 (55 enodes)
22.485 * * [simplify]: Extracting #0: cost 1 inf + 0
22.485 * * [simplify]: Extracting #1: cost 9 inf + 0
22.485 * * [simplify]: Extracting #2: cost 19 inf + 0
22.485 * * [simplify]: Extracting #3: cost 24 inf + 0
22.486 * * [simplify]: Extracting #4: cost 17 inf + 447
22.486 * * [simplify]: Extracting #5: cost 8 inf + 2120
22.487 * * [simplify]: Extracting #6: cost 0 inf + 4154
22.488 * [simplify]: Simplified to (+ (log (* (sin phi2) (sin phi1))) (log (* (sin phi2) (sin phi1))))
22.488 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (exp (+ (log (* (sin phi2) (sin phi1))) (log (* (sin phi2) (sin phi1))))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
22.489 * * * * [progress]: [ 43 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (exp (+ (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
22.489 * [simplify]: Simplifying (+ (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))))
22.489 * * [simplify]: iters left: 6 (7 enodes)
22.492 * * [simplify]: iters left: 5 (25 enodes)
22.499 * * [simplify]: iters left: 4 (34 enodes)
22.509 * * [simplify]: iters left: 3 (46 enodes)
22.521 * * [simplify]: iters left: 2 (54 enodes)
22.534 * * [simplify]: iters left: 1 (55 enodes)
22.548 * * [simplify]: Extracting #0: cost 1 inf + 0
22.548 * * [simplify]: Extracting #1: cost 9 inf + 0
22.548 * * [simplify]: Extracting #2: cost 19 inf + 0
22.548 * * [simplify]: Extracting #3: cost 24 inf + 0
22.548 * * [simplify]: Extracting #4: cost 19 inf + 255
22.549 * * [simplify]: Extracting #5: cost 7 inf + 2181
22.550 * * [simplify]: Extracting #6: cost 1 inf + 3812
22.551 * * [simplify]: Extracting #7: cost 0 inf + 4154
22.552 * [simplify]: Simplified to (+ (log (* (sin phi2) (sin phi1))) (log (* (sin phi2) (sin phi1))))
22.552 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (exp (+ (log (* (sin phi2) (sin phi1))) (log (* (sin phi2) (sin phi1))))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
22.553 * * * * [progress]: [ 44 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (exp (log (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
22.553 * * * * [progress]: [ 45 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (log (exp (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
22.553 * * * * [progress]: [ 46 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (cbrt (* (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
22.553 * [simplify]: Simplifying (* (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))))
22.553 * * [simplify]: iters left: 6 (10 enodes)
22.558 * * [simplify]: iters left: 5 (44 enodes)
22.576 * * [simplify]: iters left: 4 (146 enodes)
22.651 * * [simplify]: iters left: 3 (494 enodes)
23.225 * * [simplify]: Extracting #0: cost 1 inf + 0
23.226 * * [simplify]: Extracting #1: cost 75 inf + 0
23.228 * * [simplify]: Extracting #2: cost 271 inf + 0
23.234 * * [simplify]: Extracting #3: cost 221 inf + 11214
23.267 * * [simplify]: Extracting #4: cost 33 inf + 76314
23.315 * * [simplify]: Extracting #5: cost 0 inf + 85546
23.346 * * [simplify]: Extracting #6: cost 0 inf + 84826
23.368 * * [simplify]: Extracting #7: cost 0 inf + 84746
23.409 * [simplify]: Simplified to (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)))))
23.409 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (cbrt (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)))))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
23.409 * * * * [progress]: [ 47 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (cbrt (* (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
23.410 * [simplify]: Simplifying (* (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))))
23.410 * * [simplify]: iters left: 6 (13 enodes)
23.416 * * [simplify]: iters left: 5 (60 enodes)
23.436 * * [simplify]: iters left: 4 (177 enodes)
23.539 * * [simplify]: Extracting #0: cost 1 inf + 0
23.539 * * [simplify]: Extracting #1: cost 49 inf + 0
23.540 * * [simplify]: Extracting #2: cost 146 inf + 1
23.541 * * [simplify]: Extracting #3: cost 131 inf + 1922
23.549 * * [simplify]: Extracting #4: cost 19 inf + 33900
23.566 * * [simplify]: Extracting #5: cost 0 inf + 39019
23.576 * * [simplify]: Extracting #6: cost 0 inf + 38939
23.589 * [simplify]: Simplified to (* (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)))) (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))))
23.589 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (cbrt (* (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)))) (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
23.589 * * * * [progress]: [ 48 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (cbrt (* (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
23.589 * [simplify]: Simplifying (* (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))))
23.590 * * [simplify]: iters left: 6 (13 enodes)
23.593 * * [simplify]: iters left: 5 (60 enodes)
23.614 * * [simplify]: iters left: 4 (177 enodes)
23.735 * * [simplify]: Extracting #0: cost 1 inf + 0
23.735 * * [simplify]: Extracting #1: cost 51 inf + 0
23.736 * * [simplify]: Extracting #2: cost 166 inf + 1
23.738 * * [simplify]: Extracting #3: cost 146 inf + 3151
23.752 * * [simplify]: Extracting #4: cost 26 inf + 36695
23.777 * * [simplify]: Extracting #5: cost 0 inf + 44937
23.789 * * [simplify]: Extracting #6: cost 0 inf + 44777
23.804 * [simplify]: Simplified to (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)))))
23.804 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (cbrt (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)))))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
23.804 * * * * [progress]: [ 49 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (cbrt (* (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
23.805 * [simplify]: Simplifying (* (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))))
23.805 * * [simplify]: iters left: 6 (8 enodes)
23.809 * * [simplify]: iters left: 5 (41 enodes)
23.828 * * [simplify]: iters left: 4 (137 enodes)
23.911 * * [simplify]: iters left: 3 (463 enodes)
24.430 * * [simplify]: Extracting #0: cost 1 inf + 0
24.431 * * [simplify]: Extracting #1: cost 62 inf + 0
24.433 * * [simplify]: Extracting #2: cost 228 inf + 2
24.439 * * [simplify]: Extracting #3: cost 167 inf + 16274
24.463 * * [simplify]: Extracting #4: cost 27 inf + 57261
24.482 * * [simplify]: Extracting #5: cost 0 inf + 65857
24.520 * [simplify]: Simplified to (* (* (* (sin phi2) (sin phi1)) (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)))) (* (* (sin phi2) (sin phi1)) (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)))))
24.520 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (cbrt (* (* (* (sin phi2) (sin phi1)) (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)))) (* (* (sin phi2) (sin phi1)) (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)))))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
24.520 * * * * [progress]: [ 50 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (cbrt (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) (cbrt (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))))) (cbrt (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
24.521 * * * * [progress]: [ 51 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (cbrt (* (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
24.521 * * * * [progress]: [ 52 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (sqrt (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) (sqrt (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
24.521 * * * * [progress]: [ 53 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (/ (* (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))) (* 2 2)) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
24.521 * [simplify]: Simplifying (* (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))))
24.521 * * [simplify]: iters left: 6 (8 enodes)
24.523 * * [simplify]: iters left: 5 (29 enodes)
24.527 * * [simplify]: iters left: 4 (41 enodes)
24.534 * * [simplify]: iters left: 3 (67 enodes)
24.545 * * [simplify]: iters left: 2 (125 enodes)
24.575 * * [simplify]: iters left: 1 (198 enodes)
24.623 * * [simplify]: Extracting #0: cost 1 inf + 0
24.623 * * [simplify]: Extracting #1: cost 24 inf + 0
24.624 * * [simplify]: Extracting #2: cost 60 inf + 0
24.624 * * [simplify]: Extracting #3: cost 70 inf + 0
24.625 * * [simplify]: Extracting #4: cost 75 inf + 0
24.625 * * [simplify]: Extracting #5: cost 74 inf + 2
24.626 * * [simplify]: Extracting #6: cost 59 inf + 2091
24.631 * * [simplify]: Extracting #7: cost 13 inf + 14002
24.637 * * [simplify]: Extracting #8: cost 0 inf + 18208
24.641 * [simplify]: Simplified to (* (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))))
24.641 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (/ (* (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) (- (cos (- phi1 phi2)) (cos (+ phi2 phi1)))) (* 2 2)) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
24.641 * [simplify]: Simplifying (* 2 2)
24.641 * * [simplify]: iters left: 2 (2 enodes)
24.643 * * [simplify]: iters left: 1 (7 enodes)
24.644 * * [simplify]: Extracting #0: cost 1 inf + 0
24.644 * * [simplify]: Extracting #1: cost 0 inf + 1
24.644 * [simplify]: Simplified to 4
24.644 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (/ (* (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))) 4) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
24.644 * * * * [progress]: [ 54 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* 1 (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
24.644 * * * * [progress]: [ 55 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (* (sin phi2) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
24.645 * [simplify]: Simplifying (* (sin phi1) (sin phi1))
24.645 * * [simplify]: iters left: 3 (3 enodes)
24.645 * * [simplify]: iters left: 2 (9 enodes)
24.647 * * [simplify]: Extracting #0: cost 1 inf + 0
24.647 * * [simplify]: Extracting #1: cost 3 inf + 0
24.647 * * [simplify]: Extracting #2: cost 5 inf + 0
24.647 * * [simplify]: Extracting #3: cost 4 inf + 1
24.647 * * [simplify]: Extracting #4: cost 0 inf + 325
24.647 * [simplify]: Simplified to (* (sin phi1) (sin phi1))
24.647 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (* (sin phi2) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
24.647 * [simplify]: Simplifying (* (sin phi2) (sin phi2))
24.647 * * [simplify]: iters left: 3 (3 enodes)
24.648 * * [simplify]: iters left: 2 (9 enodes)
24.649 * * [simplify]: Extracting #0: cost 1 inf + 0
24.649 * * [simplify]: Extracting #1: cost 3 inf + 0
24.649 * * [simplify]: Extracting #2: cost 5 inf + 0
24.649 * * [simplify]: Extracting #3: cost 4 inf + 1
24.649 * * [simplify]: Extracting #4: cost 0 inf + 325
24.649 * [simplify]: Simplified to (* (sin phi2) (sin phi2))
24.649 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (* (sin phi2) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
24.650 * * * * [progress]: [ 56 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (* (sin phi1) (sin phi2)) (* 2 1)) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
24.650 * [simplify]: Simplifying (* (sin phi1) (sin phi2))
24.650 * * [simplify]: iters left: 3 (5 enodes)
24.651 * * [simplify]: iters left: 2 (16 enodes)
24.653 * * [simplify]: Extracting #0: cost 1 inf + 0
24.653 * * [simplify]: Extracting #1: cost 4 inf + 0
24.653 * * [simplify]: Extracting #2: cost 8 inf + 0
24.653 * * [simplify]: Extracting #3: cost 4 inf + 124
24.653 * * [simplify]: Extracting #4: cost 0 inf + 570
24.653 * [simplify]: Simplified to (* (sin phi2) (sin phi1))
24.653 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (* (sin phi2) (sin phi1)) (* 2 1)) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
24.654 * [simplify]: Simplifying (* 2 1)
24.654 * * [simplify]: iters left: 2 (3 enodes)
24.655 * * [simplify]: iters left: 1 (9 enodes)
24.657 * * [simplify]: Extracting #0: cost 1 inf + 0
24.657 * * [simplify]: Extracting #1: cost 0 inf + 1
24.657 * [simplify]: Simplified to 2
24.657 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (* (sin phi1) (sin phi2)) 2) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
24.657 * * * * [progress]: [ 57 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (* (sin phi1) (sin phi2)) (* 2 1)) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
24.657 * [simplify]: Simplifying (* (sin phi1) (sin phi2))
24.657 * * [simplify]: iters left: 3 (5 enodes)
24.658 * * [simplify]: iters left: 2 (16 enodes)
24.660 * * [simplify]: Extracting #0: cost 1 inf + 0
24.660 * * [simplify]: Extracting #1: cost 4 inf + 0
24.660 * * [simplify]: Extracting #2: cost 8 inf + 0
24.660 * * [simplify]: Extracting #3: cost 4 inf + 124
24.660 * * [simplify]: Extracting #4: cost 0 inf + 570
24.661 * [simplify]: Simplified to (* (sin phi2) (sin phi1))
24.661 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (* (sin phi2) (sin phi1)) (* 2 1)) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
24.661 * [simplify]: Simplifying (* 2 1)
24.661 * * [simplify]: iters left: 2 (3 enodes)
24.662 * * [simplify]: iters left: 1 (9 enodes)
24.666 * * [simplify]: Extracting #0: cost 1 inf + 0
24.666 * * [simplify]: Extracting #1: cost 0 inf + 1
24.666 * [simplify]: Simplified to 2
24.666 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (* (sin phi1) (sin phi2)) 2) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
24.666 * * * * [progress]: [ 58 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (* (sin phi1) (sin phi2)) (* 2 1)) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
24.667 * [simplify]: Simplifying (* (sin phi1) (sin phi2))
24.667 * * [simplify]: iters left: 3 (5 enodes)
24.669 * * [simplify]: iters left: 2 (16 enodes)
24.673 * * [simplify]: Extracting #0: cost 1 inf + 0
24.673 * * [simplify]: Extracting #1: cost 4 inf + 0
24.673 * * [simplify]: Extracting #2: cost 8 inf + 0
24.673 * * [simplify]: Extracting #3: cost 4 inf + 124
24.673 * * [simplify]: Extracting #4: cost 0 inf + 570
24.673 * [simplify]: Simplified to (* (sin phi2) (sin phi1))
24.674 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (* (sin phi2) (sin phi1)) (* 2 1)) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
24.674 * [simplify]: Simplifying (* 2 1)
24.674 * * [simplify]: iters left: 2 (3 enodes)
24.676 * * [simplify]: iters left: 1 (9 enodes)
24.679 * * [simplify]: Extracting #0: cost 1 inf + 0
24.679 * * [simplify]: Extracting #1: cost 0 inf + 1
24.679 * [simplify]: Simplified to 2
24.679 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (* (sin phi1) (sin phi2)) 2) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
24.679 * * * * [progress]: [ 59 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (* (sin phi1) (sin phi2)) (* 2 1)) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
24.679 * [simplify]: Simplifying (* (sin phi1) (sin phi2))
24.679 * * [simplify]: iters left: 3 (5 enodes)
24.680 * * [simplify]: iters left: 2 (16 enodes)
24.682 * * [simplify]: Extracting #0: cost 1 inf + 0
24.682 * * [simplify]: Extracting #1: cost 4 inf + 0
24.682 * * [simplify]: Extracting #2: cost 8 inf + 0
24.682 * * [simplify]: Extracting #3: cost 4 inf + 124
24.683 * * [simplify]: Extracting #4: cost 0 inf + 570
24.683 * [simplify]: Simplified to (* (sin phi2) (sin phi1))
24.683 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (* (sin phi2) (sin phi1)) (* 2 1)) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
24.683 * [simplify]: Simplifying (* 2 1)
24.683 * * [simplify]: iters left: 2 (3 enodes)
24.684 * * [simplify]: iters left: 1 (9 enodes)
24.686 * * [simplify]: Extracting #0: cost 1 inf + 0
24.686 * * [simplify]: Extracting #1: cost 0 inf + 1
24.686 * [simplify]: Simplified to 2
24.686 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (* (sin phi1) (sin phi2)) 2) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
24.686 * * * * [progress]: [ 60 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (* (sin phi1) (sin phi2)) (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
24.686 * [simplify]: Simplifying (sin phi2)
24.687 * * [simplify]: iters left: 1 (2 enodes)
24.687 * * [simplify]: Extracting #0: cost 1 inf + 0
24.687 * * [simplify]: Extracting #1: cost 3 inf + 0
24.687 * * [simplify]: Extracting #2: cost 2 inf + 1
24.687 * * [simplify]: Extracting #3: cost 0 inf + 123
24.687 * [simplify]: Simplified to (sin phi2)
24.687 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (* (sin phi1) (sin phi2)) (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
24.687 * * * * [progress]: [ 61 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (sin phi1) (* (sin phi2) (* (sin phi1) (sin phi2)))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
24.687 * [simplify]: Simplifying (sin phi1)
24.687 * * [simplify]: iters left: 1 (2 enodes)
24.688 * * [simplify]: Extracting #0: cost 1 inf + 0
24.688 * * [simplify]: Extracting #1: cost 3 inf + 0
24.688 * * [simplify]: Extracting #2: cost 2 inf + 1
24.688 * * [simplify]: Extracting #3: cost 0 inf + 123
24.688 * [simplify]: Simplified to (sin phi1)
24.688 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (sin phi1) (* (sin phi2) (* (sin phi1) (sin phi2)))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
24.688 * * * * [progress]: [ 62 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (/ (* (* (sin phi1) (sin phi2)) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))) 2) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
24.688 * * * * [progress]: [ 63 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (/ (* (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2))) 2) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
24.688 * [simplify]: Simplifying (* (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)))
24.688 * * [simplify]: iters left: 6 (11 enodes)
24.691 * * [simplify]: iters left: 5 (42 enodes)
24.701 * * [simplify]: iters left: 4 (62 enodes)
24.721 * * [simplify]: iters left: 3 (106 enodes)
24.749 * * [simplify]: iters left: 2 (159 enodes)
24.773 * * [simplify]: iters left: 1 (217 enodes)
24.828 * * [simplify]: Extracting #0: cost 1 inf + 0
24.828 * * [simplify]: Extracting #1: cost 13 inf + 0
24.828 * * [simplify]: Extracting #2: cost 40 inf + 0
24.828 * * [simplify]: Extracting #3: cost 52 inf + 2
24.828 * * [simplify]: Extracting #4: cost 42 inf + 1566
24.830 * * [simplify]: Extracting #5: cost 8 inf + 9490
24.832 * * [simplify]: Extracting #6: cost 0 inf + 11264
24.834 * [simplify]: Simplified to (* (* (sin phi1) (sin phi2)) (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))))
24.834 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (/ (* (* (sin phi1) (sin phi2)) (- (cos (- phi1 phi2)) (cos (+ phi2 phi1)))) 2) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
24.834 * * * * [progress]: [ 64 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (posit16->real (real->posit16 (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
24.834 * * * * [progress]: [ 65 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
24.834 * * * * [progress]: [ 66 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 1))>
24.834 * [simplify]: Simplifying (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)
24.834 * * [simplify]: iters left: 6 (25 enodes)
24.840 * * [simplify]: iters left: 5 (101 enodes)
24.860 * * [simplify]: iters left: 4 (203 enodes)
24.940 * * [simplify]: iters left: 3 (382 enodes)
25.068 * * [simplify]: Extracting #0: cost 1 inf + 0
25.068 * * [simplify]: Extracting #1: cost 4 inf + 0
25.068 * * [simplify]: Extracting #2: cost 5 inf + 1
25.068 * * [simplify]: Extracting #3: cost 12 inf + 1
25.068 * * [simplify]: Extracting #4: cost 69 inf + 1
25.068 * * [simplify]: Extracting #5: cost 118 inf + 1
25.069 * * [simplify]: Extracting #6: cost 110 inf + 2193
25.076 * * [simplify]: Extracting #7: cost 27 inf + 28287
25.089 * * [simplify]: Extracting #8: cost 1 inf + 37956
25.101 * * [simplify]: Extracting #9: cost 0 inf + 38249
25.110 * [simplify]: Simplified to (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))
25.110 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (pow (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) 1))
25.110 * * * * [progress]: [ 67 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 1))>
25.110 * * * * [progress]: [ 68 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log R))))>
25.110 * [simplify]: Simplifying (+ (log (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log R))
25.111 * * [simplify]: iters left: 6 (27 enodes)
25.116 * * [simplify]: iters left: 5 (107 enodes)
25.139 * * [simplify]: iters left: 4 (209 enodes)
25.191 * * [simplify]: iters left: 3 (382 enodes)
25.310 * * [simplify]: Extracting #0: cost 1 inf + 0
25.310 * * [simplify]: Extracting #1: cost 4 inf + 0
25.310 * * [simplify]: Extracting #2: cost 8 inf + 0
25.310 * * [simplify]: Extracting #3: cost 7 inf + 143
25.310 * * [simplify]: Extracting #4: cost 14 inf + 143
25.311 * * [simplify]: Extracting #5: cost 74 inf + 143
25.312 * * [simplify]: Extracting #6: cost 124 inf + 143
25.315 * * [simplify]: Extracting #7: cost 122 inf + 1284
25.321 * * [simplify]: Extracting #8: cost 54 inf + 17755
25.333 * * [simplify]: Extracting #9: cost 5 inf + 37376
25.347 * * [simplify]: Extracting #10: cost 3 inf + 39154
25.361 * * [simplify]: Extracting #11: cost 0 inf + 42148
25.375 * [simplify]: Simplified to (+ (log (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (log R))
25.375 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (log R))))
25.375 * * * * [progress]: [ 69 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))>
25.375 * * * * [progress]: [ 70 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (log (exp (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))>
25.375 * * * * [progress]: [ 71 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* R R) R))))>
25.376 * [simplify]: Simplifying (* (* (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* R R) R))
25.376 * * [simplify]: iters left: 6 (29 enodes)
25.387 * * [simplify]: iters left: 5 (119 enodes)
25.408 * * [simplify]: iters left: 4 (249 enodes)
25.488 * * [simplify]: Extracting #0: cost 1 inf + 0
25.488 * * [simplify]: Extracting #1: cost 16 inf + 0
25.488 * * [simplify]: Extracting #2: cost 32 inf + 42
25.488 * * [simplify]: Extracting #3: cost 38 inf + 246
25.489 * * [simplify]: Extracting #4: cost 66 inf + 247
25.489 * * [simplify]: Extracting #5: cost 124 inf + 459
25.490 * * [simplify]: Extracting #6: cost 121 inf + 3395
25.494 * * [simplify]: Extracting #7: cost 40 inf + 26693
25.508 * * [simplify]: Extracting #8: cost 3 inf + 51670
25.521 * * [simplify]: Extracting #9: cost 0 inf + 53235
25.532 * * [simplify]: Extracting #10: cost 0 inf + 52795
25.546 * * [simplify]: Extracting #11: cost 0 inf + 52715
25.563 * [simplify]: Simplified to (* (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))))
25.563 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))))))
25.563 * * * * [progress]: [ 72 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))>
25.563 * * * * [progress]: [ 73 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))>
25.563 * * * * [progress]: [ 74 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))>
25.563 * * * * [progress]: [ 75 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)))>
25.563 * * * * [progress]: [ 76 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R))))>
25.564 * [simplify]: Simplifying (* (sqrt (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R))
25.564 * * [simplify]: iters left: 6 (27 enodes)
25.570 * * [simplify]: iters left: 5 (107 enodes)
25.591 * * [simplify]: iters left: 4 (209 enodes)
25.652 * * [simplify]: iters left: 3 (382 enodes)
25.785 * * [simplify]: Extracting #0: cost 1 inf + 0
25.785 * * [simplify]: Extracting #1: cost 4 inf + 0
25.785 * * [simplify]: Extracting #2: cost 8 inf + 0
25.785 * * [simplify]: Extracting #3: cost 7 inf + 83
25.785 * * [simplify]: Extracting #4: cost 14 inf + 83
25.785 * * [simplify]: Extracting #5: cost 74 inf + 83
25.786 * * [simplify]: Extracting #6: cost 124 inf + 83
25.786 * * [simplify]: Extracting #7: cost 122 inf + 1224
25.789 * * [simplify]: Extracting #8: cost 54 inf + 17695
25.795 * * [simplify]: Extracting #9: cost 5 inf + 37316
25.802 * * [simplify]: Extracting #10: cost 3 inf + 39064
25.809 * * [simplify]: Extracting #11: cost 0 inf + 41908
25.819 * [simplify]: Simplified to (* (sqrt R) (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))
25.819 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt R) (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (* (sqrt (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R))))
25.819 * [simplify]: Simplifying (* (sqrt (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R))
25.820 * * [simplify]: iters left: 6 (27 enodes)
25.832 * * [simplify]: iters left: 5 (107 enodes)
25.871 * * [simplify]: iters left: 4 (209 enodes)
25.928 * * [simplify]: iters left: 3 (382 enodes)
26.034 * * [simplify]: Extracting #0: cost 1 inf + 0
26.034 * * [simplify]: Extracting #1: cost 4 inf + 0
26.034 * * [simplify]: Extracting #2: cost 8 inf + 0
26.034 * * [simplify]: Extracting #3: cost 7 inf + 83
26.034 * * [simplify]: Extracting #4: cost 14 inf + 83
26.035 * * [simplify]: Extracting #5: cost 74 inf + 83
26.035 * * [simplify]: Extracting #6: cost 124 inf + 83
26.036 * * [simplify]: Extracting #7: cost 122 inf + 1224
26.042 * * [simplify]: Extracting #8: cost 54 inf + 17695
26.055 * * [simplify]: Extracting #9: cost 5 inf + 37316
26.070 * * [simplify]: Extracting #10: cost 3 inf + 39064
26.084 * * [simplify]: Extracting #11: cost 0 inf + 41908
26.092 * [simplify]: Simplified to (* (sqrt R) (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))
26.092 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt R) (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))))
26.092 * * * * [progress]: [ 77 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (cbrt R)))>
26.092 * [simplify]: Simplifying (cbrt R)
26.092 * * [simplify]: iters left: 1 (2 enodes)
26.093 * * [simplify]: Extracting #0: cost 1 inf + 0
26.093 * * [simplify]: Extracting #1: cost 3 inf + 0
26.093 * * [simplify]: Extracting #2: cost 2 inf + 1
26.093 * * [simplify]: Extracting #3: cost 0 inf + 163
26.093 * [simplify]: Simplified to (cbrt R)
26.093 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (cbrt R)))
26.093 * * * * [progress]: [ 78 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (sqrt R)))>
26.093 * [simplify]: Simplifying (sqrt R)
26.093 * * [simplify]: iters left: 1 (2 enodes)
26.094 * * [simplify]: Extracting #0: cost 1 inf + 0
26.094 * * [simplify]: Extracting #1: cost 3 inf + 0
26.094 * * [simplify]: Extracting #2: cost 2 inf + 1
26.094 * * [simplify]: Extracting #3: cost 0 inf + 83
26.094 * [simplify]: Simplified to (sqrt R)
26.094 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (sqrt R)))
26.094 * * * * [progress]: [ 79 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1) R))>
26.094 * * * * [progress]: [ 80 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))>
26.094 * [simplify]: Simplifying (* (cbrt (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
26.095 * * [simplify]: iters left: 6 (25 enodes)
26.101 * * [simplify]: iters left: 5 (100 enodes)
26.118 * * [simplify]: iters left: 4 (202 enodes)
26.161 * * [simplify]: iters left: 3 (379 enodes)
26.269 * * [simplify]: Extracting #0: cost 1 inf + 0
26.269 * * [simplify]: Extracting #1: cost 3 inf + 0
26.269 * * [simplify]: Extracting #2: cost 5 inf + 0
26.269 * * [simplify]: Extracting #3: cost 7 inf + 0
26.269 * * [simplify]: Extracting #4: cost 14 inf + 0
26.269 * * [simplify]: Extracting #5: cost 74 inf + 0
26.270 * * [simplify]: Extracting #6: cost 124 inf + 0
26.270 * * [simplify]: Extracting #7: cost 113 inf + 2718
26.275 * * [simplify]: Extracting #8: cost 25 inf + 31524
26.281 * * [simplify]: Extracting #9: cost 1 inf + 41892
26.290 * * [simplify]: Extracting #10: cost 0 inf + 42025
26.301 * [simplify]: Simplified to (* (cbrt (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1))))))
26.301 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1)))))) (* (cbrt (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))
26.302 * * * * [progress]: [ 81 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (sqrt (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))>
26.302 * [simplify]: Simplifying (sqrt (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
26.302 * * [simplify]: iters left: 6 (24 enodes)
26.307 * * [simplify]: iters left: 5 (97 enodes)
26.326 * * [simplify]: iters left: 4 (199 enodes)
26.387 * * [simplify]: iters left: 3 (384 enodes)
26.503 * * [simplify]: Extracting #0: cost 1 inf + 0
26.503 * * [simplify]: Extracting #1: cost 3 inf + 0
26.503 * * [simplify]: Extracting #2: cost 5 inf + 0
26.503 * * [simplify]: Extracting #3: cost 12 inf + 0
26.503 * * [simplify]: Extracting #4: cost 69 inf + 0
26.503 * * [simplify]: Extracting #5: cost 119 inf + 0
26.504 * * [simplify]: Extracting #6: cost 113 inf + 1547
26.508 * * [simplify]: Extracting #7: cost 33 inf + 26030
26.518 * * [simplify]: Extracting #8: cost 2 inf + 37179
26.530 * * [simplify]: Extracting #9: cost 0 inf + 38366
26.543 * * [simplify]: Extracting #10: cost 0 inf + 38326
26.555 * [simplify]: Simplified to (sqrt (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1)))))
26.555 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1))))) (* (sqrt (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))
26.555 * * * * [progress]: [ 82 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)))>
26.555 * * * * [progress]: [ 83 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (posit16->real (real->posit16 (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))>
26.556 * * * * [progress]: [ 84 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))>
26.556 * * * * [progress]: [ 85 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* phi1 phi2) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
26.556 * [simplify]: Simplifying (* phi1 phi2)
26.556 * * [simplify]: iters left: 2 (3 enodes)
26.557 * * [simplify]: iters left: 1 (10 enodes)
26.560 * * [simplify]: Extracting #0: cost 1 inf + 0
26.560 * * [simplify]: Extracting #1: cost 4 inf + 0
26.560 * * [simplify]: Extracting #2: cost 2 inf + 2
26.560 * * [simplify]: Extracting #3: cost 0 inf + 86
26.560 * [simplify]: Simplified to (* phi1 phi2)
26.560 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* phi1 phi2) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
26.560 * * * * [progress]: [ 86 / 96 ] 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))>
26.561 * [simplify]: Simplifying (* (sin phi1) (sin phi2))
26.561 * * [simplify]: iters left: 3 (5 enodes)
26.563 * * [simplify]: iters left: 2 (16 enodes)
26.567 * * [simplify]: Extracting #0: cost 1 inf + 0
26.567 * * [simplify]: Extracting #1: cost 4 inf + 0
26.567 * * [simplify]: Extracting #2: cost 8 inf + 0
26.567 * * [simplify]: Extracting #3: cost 4 inf + 124
26.567 * * [simplify]: Extracting #4: cost 0 inf + 570
26.568 * [simplify]: Simplified to (* (sin phi2) (sin phi1))
26.568 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
26.568 * * * * [progress]: [ 87 / 96 ] 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))>
26.568 * [simplify]: Simplifying (* (sin phi1) (sin phi2))
26.568 * * [simplify]: iters left: 3 (5 enodes)
26.570 * * [simplify]: iters left: 2 (16 enodes)
26.574 * * [simplify]: Extracting #0: cost 1 inf + 0
26.574 * * [simplify]: Extracting #1: cost 4 inf + 0
26.574 * * [simplify]: Extracting #2: cost 8 inf + 0
26.574 * * [simplify]: Extracting #3: cost 4 inf + 124
26.575 * * [simplify]: Extracting #4: cost 0 inf + 570
26.575 * [simplify]: Simplified to (* (sin phi2) (sin phi1))
26.575 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
26.575 * * * * [progress]: [ 88 / 96 ] 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))>
26.575 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
26.575 * * [simplify]: iters left: 6 (22 enodes)
26.580 * * [simplify]: iters left: 5 (84 enodes)
26.593 * * [simplify]: iters left: 4 (141 enodes)
26.642 * * [simplify]: iters left: 3 (241 enodes)
26.694 * * [simplify]: iters left: 2 (280 enodes)
26.741 * * [simplify]: Extracting #0: cost 1 inf + 0
26.741 * * [simplify]: Extracting #1: cost 3 inf + 0
26.741 * * [simplify]: Extracting #2: cost 10 inf + 0
26.741 * * [simplify]: Extracting #3: cost 46 inf + 0
26.742 * * [simplify]: Extracting #4: cost 80 inf + 0
26.742 * * [simplify]: Extracting #5: cost 63 inf + 1504
26.744 * * [simplify]: Extracting #6: cost 22 inf + 9796
26.746 * * [simplify]: Extracting #7: cost 5 inf + 17031
26.750 * * [simplify]: Extracting #8: cost 0 inf + 19888
26.753 * * [simplify]: Extracting #9: cost 0 inf + 19728
26.756 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))
26.756 * [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))
26.757 * * * * [progress]: [ 89 / 96 ] 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))>
26.757 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
26.757 * * [simplify]: iters left: 6 (22 enodes)
26.762 * * [simplify]: iters left: 5 (84 enodes)
26.779 * * [simplify]: iters left: 4 (141 enodes)
26.831 * * [simplify]: iters left: 3 (241 enodes)
26.879 * * [simplify]: iters left: 2 (280 enodes)
26.929 * * [simplify]: Extracting #0: cost 1 inf + 0
26.929 * * [simplify]: Extracting #1: cost 3 inf + 0
26.929 * * [simplify]: Extracting #2: cost 10 inf + 0
26.929 * * [simplify]: Extracting #3: cost 46 inf + 0
26.930 * * [simplify]: Extracting #4: cost 80 inf + 0
26.930 * * [simplify]: Extracting #5: cost 58 inf + 2112
26.934 * * [simplify]: Extracting #6: cost 20 inf + 10221
26.937 * * [simplify]: Extracting #7: cost 2 inf + 18300
26.940 * * [simplify]: Extracting #8: cost 0 inf + 19888
26.944 * * [simplify]: Extracting #9: cost 0 inf + 19728
26.947 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))
26.947 * [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))
26.947 * * * * [progress]: [ 90 / 96 ] 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))>
26.947 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
26.947 * * [simplify]: iters left: 6 (22 enodes)
26.952 * * [simplify]: iters left: 5 (84 enodes)
26.968 * * [simplify]: iters left: 4 (141 enodes)
27.020 * * [simplify]: iters left: 3 (241 enodes)
27.076 * * [simplify]: iters left: 2 (280 enodes)
27.120 * * [simplify]: Extracting #0: cost 1 inf + 0
27.120 * * [simplify]: Extracting #1: cost 3 inf + 0
27.120 * * [simplify]: Extracting #2: cost 10 inf + 0
27.120 * * [simplify]: Extracting #3: cost 46 inf + 0
27.120 * * [simplify]: Extracting #4: cost 80 inf + 0
27.121 * * [simplify]: Extracting #5: cost 63 inf + 1504
27.123 * * [simplify]: Extracting #6: cost 22 inf + 9796
27.128 * * [simplify]: Extracting #7: cost 5 inf + 17031
27.135 * * [simplify]: Extracting #8: cost 0 inf + 19888
27.142 * * [simplify]: Extracting #9: cost 0 inf + 19728
27.148 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))
27.149 * [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))
27.149 * * * * [progress]: [ 91 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (- (* (pow phi1 2) (pow phi2 2)) (+ (* 1/3 (* (pow phi1 4) (pow phi2 2))) (* 1/3 (* (pow phi1 2) (pow phi2 4))))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
27.149 * [simplify]: Simplifying (- (* (pow phi1 2) (pow phi2 2)) (+ (* 1/3 (* (pow phi1 4) (pow phi2 2))) (* 1/3 (* (pow phi1 2) (pow phi2 4)))))
27.149 * * [simplify]: iters left: 6 (16 enodes)
27.159 * * [simplify]: iters left: 5 (77 enodes)
27.177 * * [simplify]: iters left: 4 (149 enodes)
27.218 * * [simplify]: iters left: 3 (317 enodes)
27.307 * * [simplify]: Extracting #0: cost 1 inf + 0
27.307 * * [simplify]: Extracting #1: cost 17 inf + 0
27.308 * * [simplify]: Extracting #2: cost 131 inf + 0
27.310 * * [simplify]: Extracting #3: cost 191 inf + 1312
27.317 * * [simplify]: Extracting #4: cost 71 inf + 19379
27.333 * * [simplify]: Extracting #5: cost 0 inf + 31084
27.348 * * [simplify]: Extracting #6: cost 0 inf + 30482
27.368 * [simplify]: Simplified to (- (* (* phi2 phi1) (* phi2 phi1)) (* (* (* (* phi2 phi2) (* phi1 phi1)) (+ (* phi2 phi2) (* phi1 phi1))) 1/3))
27.368 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (- (* (* phi2 phi1) (* phi2 phi1)) (* (* (* (* phi2 phi2) (* phi1 phi1)) (+ (* phi2 phi2) (* phi1 phi1))) 1/3)) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
27.368 * * * * [progress]: [ 92 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (pow (sin phi1) 2) (pow (sin phi2) 2)) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
27.369 * [simplify]: Simplifying (* (pow (sin phi1) 2) (pow (sin phi2) 2))
27.369 * * [simplify]: iters left: 4 (8 enodes)
27.374 * * [simplify]: iters left: 3 (33 enodes)
27.387 * * [simplify]: iters left: 2 (64 enodes)
27.414 * * [simplify]: iters left: 1 (126 enodes)
27.457 * * [simplify]: Extracting #0: cost 1 inf + 0
27.458 * * [simplify]: Extracting #1: cost 13 inf + 0
27.458 * * [simplify]: Extracting #2: cost 46 inf + 0
27.458 * * [simplify]: Extracting #3: cost 43 inf + 289
27.459 * * [simplify]: Extracting #4: cost 19 inf + 4409
27.462 * * [simplify]: Extracting #5: cost 1 inf + 8913
27.464 * * [simplify]: Extracting #6: cost 0 inf + 9185
27.466 * [simplify]: Simplified to (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)))
27.466 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
27.467 * * * * [progress]: [ 93 / 96 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (pow (sin phi1) 2) (pow (sin phi2) 2)) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
27.467 * [simplify]: Simplifying (* (pow (sin phi1) 2) (pow (sin phi2) 2))
27.467 * * [simplify]: iters left: 4 (8 enodes)
27.472 * * [simplify]: iters left: 3 (33 enodes)
27.485 * * [simplify]: iters left: 2 (64 enodes)
27.513 * * [simplify]: iters left: 1 (126 enodes)
27.550 * * [simplify]: Extracting #0: cost 1 inf + 0
27.550 * * [simplify]: Extracting #1: cost 13 inf + 0
27.550 * * [simplify]: Extracting #2: cost 46 inf + 0
27.550 * * [simplify]: Extracting #3: cost 43 inf + 289
27.551 * * [simplify]: Extracting #4: cost 19 inf + 4409
27.552 * * [simplify]: Extracting #5: cost 1 inf + 8913
27.553 * * [simplify]: Extracting #6: cost 0 inf + 9185
27.554 * [simplify]: Simplified to (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)))
27.554 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
27.554 * * * * [progress]: [ 94 / 96 ] 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)))))))>
27.555 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
27.555 * * [simplify]: iters left: 6 (24 enodes)
27.560 * * [simplify]: iters left: 5 (91 enodes)
27.576 * * [simplify]: iters left: 4 (148 enodes)
27.605 * * [simplify]: iters left: 3 (248 enodes)
27.673 * * [simplify]: iters left: 2 (295 enodes)
27.730 * * [simplify]: Extracting #0: cost 1 inf + 0
27.730 * * [simplify]: Extracting #1: cost 4 inf + 0
27.730 * * [simplify]: Extracting #2: cost 5 inf + 1
27.730 * * [simplify]: Extracting #3: cost 12 inf + 1
27.730 * * [simplify]: Extracting #4: cost 48 inf + 1
27.730 * * [simplify]: Extracting #5: cost 82 inf + 1
27.730 * * [simplify]: Extracting #6: cost 71 inf + 634
27.732 * * [simplify]: Extracting #7: cost 31 inf + 8806
27.735 * * [simplify]: Extracting #8: cost 5 inf + 18631
27.738 * * [simplify]: Extracting #9: cost 1 inf + 20704
27.741 * * [simplify]: Extracting #10: cost 0 inf + 21559
27.745 * * [simplify]: Extracting #11: cost 0 inf + 21519
27.751 * [simplify]: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))
27.751 * [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)))))))
27.751 * * * * [progress]: [ 95 / 96 ] 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))>
27.752 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R)
27.752 * * [simplify]: iters left: 6 (24 enodes)
27.762 * * [simplify]: iters left: 5 (91 enodes)
27.776 * * [simplify]: iters left: 4 (148 enodes)
27.817 * * [simplify]: iters left: 3 (248 enodes)
27.900 * * [simplify]: iters left: 2 (292 enodes)
27.976 * * [simplify]: Extracting #0: cost 1 inf + 0
27.976 * * [simplify]: Extracting #1: cost 4 inf + 0
27.976 * * [simplify]: Extracting #2: cost 5 inf + 1
27.976 * * [simplify]: Extracting #3: cost 12 inf + 1
27.976 * * [simplify]: Extracting #4: cost 48 inf + 1
27.977 * * [simplify]: Extracting #5: cost 82 inf + 1
27.978 * * [simplify]: Extracting #6: cost 61 inf + 2052
27.981 * * [simplify]: Extracting #7: cost 23 inf + 9919
27.987 * * [simplify]: Extracting #8: cost 4 inf + 18021
27.994 * * [simplify]: Extracting #9: cost 1 inf + 20624
28.001 * * [simplify]: Extracting #10: cost 0 inf + 21519
28.008 * [simplify]: Simplified to (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R)
28.008 * [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))
28.008 * * * * [progress]: [ 96 / 96 ] 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)))))))>
28.008 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
28.009 * * [simplify]: iters left: 6 (24 enodes)
28.019 * * [simplify]: iters left: 5 (91 enodes)
28.048 * * [simplify]: iters left: 4 (148 enodes)
28.099 * * [simplify]: iters left: 3 (248 enodes)
28.181 * * [simplify]: iters left: 2 (295 enodes)
28.249 * * [simplify]: Extracting #0: cost 1 inf + 0
28.249 * * [simplify]: Extracting #1: cost 4 inf + 0
28.249 * * [simplify]: Extracting #2: cost 5 inf + 1
28.249 * * [simplify]: Extracting #3: cost 12 inf + 1
28.249 * * [simplify]: Extracting #4: cost 48 inf + 1
28.250 * * [simplify]: Extracting #5: cost 82 inf + 1
28.250 * * [simplify]: Extracting #6: cost 71 inf + 634
28.252 * * [simplify]: Extracting #7: cost 31 inf + 8806
28.257 * * [simplify]: Extracting #8: cost 5 inf + 18631
28.262 * * [simplify]: Extracting #9: cost 1 inf + 20704
28.266 * * [simplify]: Extracting #10: cost 0 inf + 21559
28.271 * * [simplify]: Extracting #11: cost 0 inf + 21519
28.274 * [simplify]: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))
28.274 * [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)))))))
28.275 * * * [progress]: adding candidates to table
30.646 * [progress]: [Phase 3 of 3] Extracting.
30.647 * * [regime]: Finding splitpoints for: (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (cbrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (posit16->real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (cbrt (* (* (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (log (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (cbrt (* (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (posit16->real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))>)
30.658 * * * [regime-changes]: Trying 5 branch expressions: (R lambda2 lambda1 phi2 phi1)
30.659 * * * * [regimes]: Trying to branch on R from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (cbrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (posit16->real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (cbrt (* (* (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (log (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (cbrt (* (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (posit16->real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))>)
30.933 * * * * [regimes]: Trying to branch on lambda2 from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (cbrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (posit16->real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (cbrt (* (* (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (log (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (cbrt (* (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (posit16->real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))>)
31.148 * * * * [regimes]: Trying to branch on lambda1 from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (cbrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (posit16->real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (cbrt (* (* (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (log (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (cbrt (* (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (posit16->real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))>)
31.421 * * * * [regimes]: Trying to branch on phi2 from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (cbrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (posit16->real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (cbrt (* (* (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (log (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (cbrt (* (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (posit16->real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))>)
31.711 * * * * [regimes]: Trying to branch on phi1 from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (cbrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (posit16->real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (cbrt (* (* (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (log (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (cbrt (* (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (posit16->real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))>)
31.998 * * * [regime]: Found split indices: #<option (#s(si 6 255))>
31.999 * [simplify]: Simplifying (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)
31.999 * * [simplify]: iters left: 6 (24 enodes)
32.001 * * [simplify]: iters left: 5 (32 enodes)
32.003 * * [simplify]: Extracting #0: cost 1 inf + 0
32.003 * * [simplify]: Extracting #1: cost 3 inf + 0
32.003 * * [simplify]: Extracting #2: cost 3 inf + 1
32.003 * * [simplify]: Extracting #3: cost 4 inf + 1
32.003 * * [simplify]: Extracting #4: cost 5 inf + 1
32.003 * * [simplify]: Extracting #5: cost 7 inf + 1
32.003 * * [simplify]: Extracting #6: cost 11 inf + 1
32.003 * * [simplify]: Extracting #7: cost 17 inf + 1
32.003 * * [simplify]: Extracting #8: cost 17 inf + 125
32.004 * * [simplify]: Extracting #9: cost 16 inf + 409
32.004 * * [simplify]: Extracting #10: cost 9 inf + 817
32.004 * * [simplify]: Extracting #11: cost 6 inf + 1503
32.005 * * [simplify]: Extracting #12: cost 5 inf + 2067
32.005 * * [simplify]: Extracting #13: cost 4 inf + 2831
32.006 * * [simplify]: Extracting #14: cost 2 inf + 4609
32.007 * * [simplify]: Extracting #15: cost 1 inf + 5603
32.008 * * [simplify]: Extracting #16: cost 0 inf + 6638
32.009 * [simplify]: Simplified to (* (log (exp (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) R)
61.187 * [regime-testing]: Baseline error score: 3.8441447531405983
61.190 * [regime-testing]: Oracle error score: 3.4222952286047894
61.194 * [regime-testing]: End program error score: 3.8441447531405983