0.004 * [progress]: [Phase 1 of 3] Setting up. 0.005 * * * [progress]: [1/2] Preparing points 0.679 * * * [progress]: [2/2] Setting up program. 0.692 * [progress]: [Phase 2 of 3] Improving. 0.692 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.694 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.695 * * [simplify]: iters left: 6 (17 enodes) 0.743 * * [simplify]: iters left: 5 (60 enodes) 0.753 * * [simplify]: iters left: 4 (71 enodes) 0.763 * * [simplify]: iters left: 3 (76 enodes) 0.773 * * [simplify]: Extracting #0: cost 1 inf + 0 0.774 * * [simplify]: Extracting #1: cost 4 inf + 0 0.774 * * [simplify]: Extracting #2: cost 5 inf + 1 0.774 * * [simplify]: Extracting #3: cost 8 inf + 1 0.774 * * [simplify]: Extracting #4: cost 18 inf + 1 0.774 * * [simplify]: Extracting #5: cost 29 inf + 1 0.774 * * [simplify]: Extracting #6: cost 25 inf + 369 0.774 * * [simplify]: Extracting #7: cost 19 inf + 979 0.775 * * [simplify]: Extracting #8: cost 9 inf + 2522 0.776 * * [simplify]: Extracting #9: cost 0 inf + 6397 0.777 * [simplify]: Simplified to (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 0.777 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) 0.791 * * [progress]: iteration 1 / 4 0.791 * * * [progress]: picking best candidate 0.802 * * * * [pick]: Picked # 0.802 * * * [progress]: localizing error 0.885 * * * [progress]: generating rewritten candidates 0.886 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.905 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.909 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.919 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.932 * * * [progress]: generating series expansions 0.932 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.935 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2)) 0.935 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.936 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.936 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.936 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.936 * [backup-simplify]: Simplify lambda1 into lambda1 0.936 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.936 * [backup-simplify]: Simplify 0 into 0 0.936 * [backup-simplify]: Simplify 1 into 1 0.937 * [backup-simplify]: Simplify (- 0) into 0 0.937 * [backup-simplify]: Simplify (+ lambda1 0) into lambda1 0.937 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 0.937 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 0.937 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.937 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.937 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.937 * [backup-simplify]: Simplify 0 into 0 0.937 * [backup-simplify]: Simplify 1 into 1 0.937 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.937 * [backup-simplify]: Simplify lambda2 into lambda2 0.937 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 0.937 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 0.937 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 0.937 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 0.937 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.937 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.937 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.937 * [backup-simplify]: Simplify 0 into 0 0.937 * [backup-simplify]: Simplify 1 into 1 0.937 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.937 * [backup-simplify]: Simplify lambda2 into lambda2 0.937 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 0.937 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 0.937 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 0.937 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 0.939 * [backup-simplify]: Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2)) 0.939 * [backup-simplify]: Simplify (* (sin (- lambda2)) 0) into 0 0.940 * [backup-simplify]: Simplify (- 0) into 0 0.940 * [backup-simplify]: Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2)) 0.940 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.940 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.940 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.940 * [backup-simplify]: Simplify 0 into 0 0.940 * [backup-simplify]: Simplify 1 into 1 0.940 * [backup-simplify]: Simplify (- 0) into 0 0.940 * [backup-simplify]: Simplify (- 1) into -1 0.940 * [backup-simplify]: Simplify 1 into 1 0.941 * [backup-simplify]: Simplify (+ 0) into 0 0.942 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (* 0 1)) into 0 0.942 * [backup-simplify]: Simplify (- 0) into 0 0.942 * [backup-simplify]: Simplify (+ 1 0) into 1 0.943 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.943 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 1) (* 0 0)) into (sin (- lambda2)) 0.943 * [backup-simplify]: Simplify (- (sin (- lambda2))) into (- (sin (- lambda2))) 0.943 * [backup-simplify]: Simplify (+ 0 (- (sin (- lambda2)))) into (- (sin (- lambda2))) 0.943 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 0.943 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.943 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.943 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.943 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify 1 into 1 0.944 * [backup-simplify]: Simplify (- 0) into 0 0.944 * [backup-simplify]: Simplify (- 1) into -1 0.944 * [backup-simplify]: Simplify (- 0) into 0 0.944 * [backup-simplify]: Simplify 0 into 0 0.944 * [backup-simplify]: Simplify (+ 0) into 0 0.944 * [backup-simplify]: Simplify 0 into 0 0.946 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.947 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (- lambda2)))) 0.947 * [backup-simplify]: Simplify (- 0) into 0 0.948 * [backup-simplify]: Simplify (+ 0 0) into 0 0.949 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.949 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 1) (* 0 0))) into 0 0.950 * [backup-simplify]: Simplify (- 0) into 0 0.950 * [backup-simplify]: Simplify (+ (- (* 1/2 (cos (- lambda2)))) 0) into (- (* 1/2 (cos (- lambda2)))) 0.950 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.950 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.950 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.950 * [backup-simplify]: Simplify 1/2 into 1/2 0.950 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.950 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.950 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.950 * [backup-simplify]: Simplify 0 into 0 0.950 * [backup-simplify]: Simplify 1 into 1 0.951 * [backup-simplify]: Simplify (- 0) into 0 0.951 * [backup-simplify]: Simplify (- 1) into -1 0.952 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.952 * [backup-simplify]: Simplify (- 1/2) into -1/2 0.952 * [backup-simplify]: Simplify -1/2 into -1/2 0.952 * [backup-simplify]: Simplify (- 1) into -1 0.953 * [backup-simplify]: Simplify (+ (* 1 (/ (pow -1 1) 1))) into -1 0.954 * [backup-simplify]: Simplify (- -1) into 1 0.954 * [backup-simplify]: Simplify 1 into 1 0.954 * [backup-simplify]: Simplify (+ (* 1 (* lambda2 lambda1)) (+ (* -1/2 (pow (* 1 lambda1) 2)) 1)) into (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) 0.955 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.955 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.955 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.955 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.955 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.955 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.955 * [backup-simplify]: Simplify lambda1 into lambda1 0.955 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.955 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.955 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.955 * [backup-simplify]: Simplify 0 into 0 0.955 * [backup-simplify]: Simplify 1 into 1 0.956 * [backup-simplify]: Simplify (/ 1 1) into 1 0.956 * [backup-simplify]: Simplify (- 1) into -1 0.957 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.957 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.957 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.957 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.957 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.957 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.957 * [backup-simplify]: Simplify 0 into 0 0.957 * [backup-simplify]: Simplify 1 into 1 0.958 * [backup-simplify]: Simplify (/ 1 1) into 1 0.958 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.958 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.958 * [backup-simplify]: Simplify lambda2 into lambda2 0.958 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.958 * [backup-simplify]: Simplify (+ 1 0) into 1 0.958 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.958 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.959 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.959 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.959 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify 1 into 1 0.959 * [backup-simplify]: Simplify (/ 1 1) into 1 0.959 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.959 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.959 * [backup-simplify]: Simplify lambda2 into lambda2 0.959 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.967 * [backup-simplify]: Simplify (+ 1 0) into 1 0.967 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.967 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.968 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.968 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.968 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.968 * [backup-simplify]: Simplify lambda1 into lambda1 0.968 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.968 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.968 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.968 * [backup-simplify]: Simplify 0 into 0 0.968 * [backup-simplify]: Simplify 1 into 1 0.968 * [backup-simplify]: Simplify (/ 1 1) into 1 0.968 * [backup-simplify]: Simplify (- 1) into -1 0.969 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.969 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.969 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.969 * [taylor]: Taking taylor expansion of 0 in lambda2 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [taylor]: Taking taylor expansion of 0 in lambda2 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [taylor]: Taking taylor expansion of 0 in lambda2 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) into (cos (- lambda1 lambda2)) 0.969 * [backup-simplify]: Simplify (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.969 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.969 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.969 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.969 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.969 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [backup-simplify]: Simplify 1 into 1 0.970 * [backup-simplify]: Simplify (/ 1 1) into 1 0.970 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.970 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.970 * [backup-simplify]: Simplify lambda1 into lambda1 0.970 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.970 * [backup-simplify]: Simplify (+ 1 0) into 1 0.970 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.970 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.970 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.970 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.970 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.970 * [backup-simplify]: Simplify lambda2 into lambda2 0.970 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.970 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.970 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [backup-simplify]: Simplify 1 into 1 0.971 * [backup-simplify]: Simplify (/ 1 1) into 1 0.971 * [backup-simplify]: Simplify (- 1) into -1 0.971 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.971 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.971 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.971 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.971 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.971 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.971 * [backup-simplify]: Simplify lambda2 into lambda2 0.971 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.971 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.971 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.971 * [backup-simplify]: Simplify 0 into 0 0.971 * [backup-simplify]: Simplify 1 into 1 0.972 * [backup-simplify]: Simplify (/ 1 1) into 1 0.972 * [backup-simplify]: Simplify (- 1) into -1 0.972 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.972 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.972 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.972 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.972 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.972 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify 1 into 1 0.973 * [backup-simplify]: Simplify (/ 1 1) into 1 0.973 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.973 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.973 * [backup-simplify]: Simplify lambda1 into lambda1 0.973 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.973 * [backup-simplify]: Simplify (+ 1 0) into 1 0.973 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.973 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.973 * [taylor]: Taking taylor expansion of 0 in lambda2 0.973 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify 0 into 0 0.973 * [taylor]: Taking taylor expansion of 0 in lambda2 0.973 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify 0 into 0 0.973 * [taylor]: Taking taylor expansion of 0 in lambda2 0.973 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))) into (cos (- lambda1 lambda2)) 0.974 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.974 * [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)))) 0.974 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in (phi1 phi2 lambda1 lambda2) around 0 0.974 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 0.975 * [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)))) 0.975 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 0.976 * [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)))) 0.976 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 0.976 * [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)))) 0.976 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 0.976 * [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)))) 0.976 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 0.976 * [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)))) 0.976 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 0.976 * [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)))) 0.976 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 0.977 * [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)))) 0.977 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 0.977 * [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)))) 0.977 * [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)))) 0.977 * [taylor]: Taking taylor expansion of 0 in phi2 0.977 * [backup-simplify]: Simplify 0 into 0 0.977 * [taylor]: Taking taylor expansion of 0 in lambda1 0.977 * [backup-simplify]: Simplify 0 into 0 0.977 * [taylor]: Taking taylor expansion of 0 in lambda2 0.977 * [backup-simplify]: Simplify 0 into 0 0.977 * [backup-simplify]: Simplify 0 into 0 0.977 * [taylor]: Taking taylor expansion of 0 in lambda1 0.977 * [backup-simplify]: Simplify 0 into 0 0.977 * [taylor]: Taking taylor expansion of 0 in lambda2 0.977 * [backup-simplify]: Simplify 0 into 0 0.977 * [backup-simplify]: Simplify 0 into 0 0.977 * [taylor]: Taking taylor expansion of 0 in lambda2 0.977 * [backup-simplify]: Simplify 0 into 0 0.977 * [backup-simplify]: Simplify 0 into 0 0.977 * [backup-simplify]: Simplify 0 into 0 0.977 * [taylor]: Taking taylor expansion of 0 in phi2 0.977 * [backup-simplify]: Simplify 0 into 0 0.977 * [taylor]: Taking taylor expansion of 0 in lambda1 0.977 * [backup-simplify]: Simplify 0 into 0 0.977 * [taylor]: Taking taylor expansion of 0 in lambda2 0.977 * [backup-simplify]: Simplify 0 into 0 0.977 * [backup-simplify]: Simplify 0 into 0 0.977 * [taylor]: Taking taylor expansion of 0 in lambda1 0.977 * [backup-simplify]: Simplify 0 into 0 0.977 * [taylor]: Taking taylor expansion of 0 in lambda2 0.977 * [backup-simplify]: Simplify 0 into 0 0.978 * [backup-simplify]: Simplify 0 into 0 0.978 * [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)))) 0.978 * [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)))))) 0.978 * [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 0.978 * [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 0.978 * [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)))))) 0.978 * [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 0.978 * [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)))))) 0.978 * [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 0.979 * [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)))))) 0.979 * [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 0.979 * [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)))))) 0.979 * [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 0.979 * [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)))))) 0.979 * [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 0.979 * [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)))))) 0.979 * [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 0.980 * [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)))))) 0.980 * [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 0.980 * [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)))))) 0.980 * [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)))))) 0.980 * [taylor]: Taking taylor expansion of 0 in phi2 0.980 * [backup-simplify]: Simplify 0 into 0 0.980 * [taylor]: Taking taylor expansion of 0 in lambda1 0.980 * [backup-simplify]: Simplify 0 into 0 0.980 * [taylor]: Taking taylor expansion of 0 in lambda2 0.980 * [backup-simplify]: Simplify 0 into 0 0.980 * [backup-simplify]: Simplify 0 into 0 0.980 * [taylor]: Taking taylor expansion of 0 in lambda1 0.980 * [backup-simplify]: Simplify 0 into 0 0.980 * [taylor]: Taking taylor expansion of 0 in lambda2 0.980 * [backup-simplify]: Simplify 0 into 0 0.980 * [backup-simplify]: Simplify 0 into 0 0.980 * [taylor]: Taking taylor expansion of 0 in lambda2 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [taylor]: Taking taylor expansion of 0 in phi2 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [taylor]: Taking taylor expansion of 0 in lambda1 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [taylor]: Taking taylor expansion of 0 in lambda2 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [taylor]: Taking taylor expansion of 0 in lambda1 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [taylor]: Taking taylor expansion of 0 in lambda2 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [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)))) 0.982 * [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))))))) 0.982 * [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 0.982 * [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 0.983 * [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))))))) 0.983 * [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 0.983 * [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))))))) 0.983 * [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 0.984 * [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))))))) 0.984 * [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 0.984 * [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))))))) 0.984 * [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 0.985 * [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))))))) 0.985 * [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 0.986 * [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))))))) 0.986 * [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 0.986 * [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))))))) 0.986 * [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 0.987 * [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))))))) 0.987 * [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))))))) 0.987 * [taylor]: Taking taylor expansion of 0 in phi2 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [taylor]: Taking taylor expansion of 0 in lambda1 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [taylor]: Taking taylor expansion of 0 in lambda2 0.987 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [taylor]: Taking taylor expansion of 0 in lambda1 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [taylor]: Taking taylor expansion of 0 in lambda2 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [taylor]: Taking taylor expansion of 0 in lambda2 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [taylor]: Taking taylor expansion of 0 in phi2 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [taylor]: Taking taylor expansion of 0 in lambda1 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [taylor]: Taking taylor expansion of 0 in lambda2 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [taylor]: Taking taylor expansion of 0 in lambda1 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [taylor]: Taking taylor expansion of 0 in lambda2 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify 0 into 0 0.989 * [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)))) 0.989 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.989 * [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) 0.989 * [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 0.989 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in R 0.989 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in R 0.990 * [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)))) 0.990 * [taylor]: Taking taylor expansion of R in R 0.990 * [backup-simplify]: Simplify 0 into 0 0.990 * [backup-simplify]: Simplify 1 into 1 0.990 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda2 0.990 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 0.990 * [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)))) 0.990 * [taylor]: Taking taylor expansion of R in lambda2 0.990 * [backup-simplify]: Simplify R into R 0.990 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda1 0.990 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 0.991 * [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)))) 0.991 * [taylor]: Taking taylor expansion of R in lambda1 0.991 * [backup-simplify]: Simplify R into R 0.991 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi2 0.991 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 0.991 * [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)))) 0.991 * [taylor]: Taking taylor expansion of R in phi2 0.991 * [backup-simplify]: Simplify R into R 0.991 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi1 0.991 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 0.991 * [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)))) 0.992 * [taylor]: Taking taylor expansion of R in phi1 0.992 * [backup-simplify]: Simplify R into R 0.992 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi1 0.992 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 0.992 * [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)))) 0.992 * [taylor]: Taking taylor expansion of R in phi1 0.992 * [backup-simplify]: Simplify R into R 0.992 * [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) 0.992 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi2 0.992 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 0.993 * [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)))) 0.993 * [taylor]: Taking taylor expansion of R in phi2 0.993 * [backup-simplify]: Simplify R into R 0.993 * [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) 0.993 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda1 0.993 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 0.993 * [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)))) 0.994 * [taylor]: Taking taylor expansion of R in lambda1 0.994 * [backup-simplify]: Simplify R into R 0.994 * [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) 0.994 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda2 0.994 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 0.994 * [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)))) 0.994 * [taylor]: Taking taylor expansion of R in lambda2 0.994 * [backup-simplify]: Simplify R into R 0.995 * [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) 0.995 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in R 0.995 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in R 0.995 * [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)))) 0.995 * [taylor]: Taking taylor expansion of R in R 0.995 * [backup-simplify]: Simplify 0 into 0 0.995 * [backup-simplify]: Simplify 1 into 1 0.995 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) into 0 0.996 * [backup-simplify]: Simplify 0 into 0 0.996 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 0.996 * [taylor]: Taking taylor expansion of 0 in phi2 0.996 * [backup-simplify]: Simplify 0 into 0 0.996 * [taylor]: Taking taylor expansion of 0 in lambda1 0.996 * [backup-simplify]: Simplify 0 into 0 0.996 * [taylor]: Taking taylor expansion of 0 in lambda2 0.996 * [backup-simplify]: Simplify 0 into 0 0.996 * [taylor]: Taking taylor expansion of 0 in R 0.996 * [backup-simplify]: Simplify 0 into 0 0.996 * [backup-simplify]: Simplify 0 into 0 0.997 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 0.997 * [taylor]: Taking taylor expansion of 0 in lambda1 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [taylor]: Taking taylor expansion of 0 in lambda2 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [taylor]: Taking taylor expansion of 0 in R 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 0.997 * [taylor]: Taking taylor expansion of 0 in lambda2 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [taylor]: Taking taylor expansion of 0 in R 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 0.997 * [taylor]: Taking taylor expansion of 0 in R 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [backup-simplify]: Simplify 0 into 0 0.998 * [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)))) 0.998 * [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)))) 0.999 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0 0.999 * [taylor]: Taking taylor expansion of 0 in phi2 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [taylor]: Taking taylor expansion of 0 in lambda1 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [taylor]: Taking taylor expansion of 0 in lambda2 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [taylor]: Taking taylor expansion of 0 in R 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [taylor]: Taking taylor expansion of 0 in lambda1 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [taylor]: Taking taylor expansion of 0 in lambda2 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [taylor]: Taking taylor expansion of 0 in R 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0 1.000 * [taylor]: Taking taylor expansion of 0 in lambda1 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [taylor]: Taking taylor expansion of 0 in lambda2 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [taylor]: Taking taylor expansion of 0 in R 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [taylor]: Taking taylor expansion of 0 in lambda2 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [taylor]: Taking taylor expansion of 0 in R 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [taylor]: Taking taylor expansion of 0 in lambda2 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [taylor]: Taking taylor expansion of 0 in R 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0 1.000 * [taylor]: Taking taylor expansion of 0 in lambda2 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [taylor]: Taking taylor expansion of 0 in R 1.001 * [backup-simplify]: Simplify 0 into 0 1.001 * [backup-simplify]: Simplify 0 into 0 1.001 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) (* R (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 1.001 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) (/ 1 R)) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 1.001 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.001 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in R 1.001 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in R 1.002 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.002 * [taylor]: Taking taylor expansion of R in R 1.002 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify 1 into 1 1.002 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.002 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in lambda2 1.002 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda2 1.002 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.003 * [taylor]: Taking taylor expansion of R in lambda2 1.003 * [backup-simplify]: Simplify R into R 1.003 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 1.003 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in lambda1 1.003 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda1 1.003 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.003 * [taylor]: Taking taylor expansion of R in lambda1 1.003 * [backup-simplify]: Simplify R into R 1.004 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 1.004 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in phi2 1.004 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi2 1.004 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.004 * [taylor]: Taking taylor expansion of R in phi2 1.004 * [backup-simplify]: Simplify R into R 1.004 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 1.004 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in phi1 1.004 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi1 1.004 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.004 * [taylor]: Taking taylor expansion of R in phi1 1.004 * [backup-simplify]: Simplify R into R 1.005 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 1.005 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in phi1 1.005 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi1 1.005 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.005 * [taylor]: Taking taylor expansion of R in phi1 1.005 * [backup-simplify]: Simplify R into R 1.005 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 1.005 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in phi2 1.005 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi2 1.006 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.006 * [taylor]: Taking taylor expansion of R in phi2 1.006 * [backup-simplify]: Simplify R into R 1.006 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 1.006 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in lambda1 1.006 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda1 1.006 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.006 * [taylor]: Taking taylor expansion of R in lambda1 1.006 * [backup-simplify]: Simplify R into R 1.006 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 1.006 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in lambda2 1.006 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda2 1.007 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.007 * [taylor]: Taking taylor expansion of R in lambda2 1.007 * [backup-simplify]: Simplify R into R 1.007 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 1.007 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in R 1.007 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in R 1.007 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.007 * [taylor]: Taking taylor expansion of R in R 1.007 * [backup-simplify]: Simplify 0 into 0 1.007 * [backup-simplify]: Simplify 1 into 1 1.008 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.008 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.008 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)))) into 0 1.008 * [taylor]: Taking taylor expansion of 0 in phi2 1.008 * [backup-simplify]: Simplify 0 into 0 1.008 * [taylor]: Taking taylor expansion of 0 in lambda1 1.008 * [backup-simplify]: Simplify 0 into 0 1.008 * [taylor]: Taking taylor expansion of 0 in lambda2 1.008 * [backup-simplify]: Simplify 0 into 0 1.008 * [taylor]: Taking taylor expansion of 0 in R 1.008 * [backup-simplify]: Simplify 0 into 0 1.009 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)))) into 0 1.009 * [taylor]: Taking taylor expansion of 0 in lambda1 1.009 * [backup-simplify]: Simplify 0 into 0 1.009 * [taylor]: Taking taylor expansion of 0 in lambda2 1.009 * [backup-simplify]: Simplify 0 into 0 1.009 * [taylor]: Taking taylor expansion of 0 in R 1.009 * [backup-simplify]: Simplify 0 into 0 1.009 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)))) into 0 1.009 * [taylor]: Taking taylor expansion of 0 in lambda2 1.009 * [backup-simplify]: Simplify 0 into 0 1.009 * [taylor]: Taking taylor expansion of 0 in R 1.009 * [backup-simplify]: Simplify 0 into 0 1.010 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)))) into 0 1.010 * [taylor]: Taking taylor expansion of 0 in R 1.010 * [backup-simplify]: Simplify 0 into 0 1.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) (/ 0 1)))) into 0 1.011 * [backup-simplify]: Simplify 0 into 0 1.011 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.011 * [taylor]: Taking taylor expansion of 0 in phi2 1.011 * [backup-simplify]: Simplify 0 into 0 1.011 * [taylor]: Taking taylor expansion of 0 in lambda1 1.011 * [backup-simplify]: Simplify 0 into 0 1.011 * [taylor]: Taking taylor expansion of 0 in lambda2 1.011 * [backup-simplify]: Simplify 0 into 0 1.011 * [taylor]: Taking taylor expansion of 0 in R 1.011 * [backup-simplify]: Simplify 0 into 0 1.011 * [taylor]: Taking taylor expansion of 0 in lambda1 1.011 * [backup-simplify]: Simplify 0 into 0 1.011 * [taylor]: Taking taylor expansion of 0 in lambda2 1.011 * [backup-simplify]: Simplify 0 into 0 1.011 * [taylor]: Taking taylor expansion of 0 in R 1.011 * [backup-simplify]: Simplify 0 into 0 1.012 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.012 * [taylor]: Taking taylor expansion of 0 in lambda1 1.012 * [backup-simplify]: Simplify 0 into 0 1.012 * [taylor]: Taking taylor expansion of 0 in lambda2 1.012 * [backup-simplify]: Simplify 0 into 0 1.012 * [taylor]: Taking taylor expansion of 0 in R 1.012 * [backup-simplify]: Simplify 0 into 0 1.012 * [taylor]: Taking taylor expansion of 0 in lambda2 1.012 * [backup-simplify]: Simplify 0 into 0 1.012 * [taylor]: Taking taylor expansion of 0 in R 1.012 * [backup-simplify]: Simplify 0 into 0 1.012 * [taylor]: Taking taylor expansion of 0 in lambda2 1.012 * [backup-simplify]: Simplify 0 into 0 1.012 * [taylor]: Taking taylor expansion of 0 in R 1.012 * [backup-simplify]: Simplify 0 into 0 1.012 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.012 * [taylor]: Taking taylor expansion of 0 in lambda2 1.012 * [backup-simplify]: Simplify 0 into 0 1.012 * [taylor]: Taking taylor expansion of 0 in R 1.012 * [backup-simplify]: Simplify 0 into 0 1.012 * [taylor]: Taking taylor expansion of 0 in R 1.012 * [backup-simplify]: Simplify 0 into 0 1.012 * [taylor]: Taking taylor expansion of 0 in R 1.012 * [backup-simplify]: Simplify 0 into 0 1.012 * [taylor]: Taking taylor expansion of 0 in R 1.012 * [backup-simplify]: Simplify 0 into 0 1.013 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.013 * [taylor]: Taking taylor expansion of 0 in R 1.013 * [backup-simplify]: Simplify 0 into 0 1.013 * [backup-simplify]: Simplify 0 into 0 1.013 * [backup-simplify]: Simplify 0 into 0 1.013 * [backup-simplify]: Simplify 0 into 0 1.013 * [backup-simplify]: Simplify 0 into 0 1.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.014 * [backup-simplify]: Simplify 0 into 0 1.015 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) (cos (/ 1 (/ 1 phi1))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 1.015 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) (/ 1 (- R))) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) 1.015 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 1.015 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in R 1.015 * [taylor]: Taking taylor expansion of -1 in R 1.015 * [backup-simplify]: Simplify -1 into -1 1.015 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in R 1.015 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in R 1.016 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.016 * [taylor]: Taking taylor expansion of R in R 1.016 * [backup-simplify]: Simplify 0 into 0 1.016 * [backup-simplify]: Simplify 1 into 1 1.016 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.016 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda2 1.016 * [taylor]: Taking taylor expansion of -1 in lambda2 1.016 * [backup-simplify]: Simplify -1 into -1 1.016 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda2 1.016 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda2 1.016 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.016 * [taylor]: Taking taylor expansion of R in lambda2 1.016 * [backup-simplify]: Simplify R into R 1.017 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 1.017 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda1 1.017 * [taylor]: Taking taylor expansion of -1 in lambda1 1.017 * [backup-simplify]: Simplify -1 into -1 1.017 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda1 1.017 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda1 1.017 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.017 * [taylor]: Taking taylor expansion of R in lambda1 1.017 * [backup-simplify]: Simplify R into R 1.017 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 1.017 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi2 1.017 * [taylor]: Taking taylor expansion of -1 in phi2 1.017 * [backup-simplify]: Simplify -1 into -1 1.017 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi2 1.017 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi2 1.018 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.018 * [taylor]: Taking taylor expansion of R in phi2 1.018 * [backup-simplify]: Simplify R into R 1.018 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 1.018 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi1 1.018 * [taylor]: Taking taylor expansion of -1 in phi1 1.018 * [backup-simplify]: Simplify -1 into -1 1.018 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi1 1.018 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi1 1.018 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.018 * [taylor]: Taking taylor expansion of R in phi1 1.018 * [backup-simplify]: Simplify R into R 1.018 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 1.018 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi1 1.018 * [taylor]: Taking taylor expansion of -1 in phi1 1.018 * [backup-simplify]: Simplify -1 into -1 1.019 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi1 1.019 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi1 1.019 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.019 * [taylor]: Taking taylor expansion of R in phi1 1.019 * [backup-simplify]: Simplify R into R 1.019 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 1.019 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) 1.019 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi2 1.019 * [taylor]: Taking taylor expansion of -1 in phi2 1.019 * [backup-simplify]: Simplify -1 into -1 1.019 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi2 1.019 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi2 1.020 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.020 * [taylor]: Taking taylor expansion of R in phi2 1.020 * [backup-simplify]: Simplify R into R 1.020 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 1.020 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) 1.020 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda1 1.020 * [taylor]: Taking taylor expansion of -1 in lambda1 1.020 * [backup-simplify]: Simplify -1 into -1 1.020 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda1 1.020 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda1 1.021 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.021 * [taylor]: Taking taylor expansion of R in lambda1 1.021 * [backup-simplify]: Simplify R into R 1.021 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 1.021 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) 1.021 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda2 1.021 * [taylor]: Taking taylor expansion of -1 in lambda2 1.021 * [backup-simplify]: Simplify -1 into -1 1.021 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda2 1.021 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda2 1.021 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.021 * [taylor]: Taking taylor expansion of R in lambda2 1.021 * [backup-simplify]: Simplify R into R 1.022 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 1.022 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) 1.022 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in R 1.022 * [taylor]: Taking taylor expansion of -1 in R 1.022 * [backup-simplify]: Simplify -1 into -1 1.022 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in R 1.022 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in R 1.022 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.022 * [taylor]: Taking taylor expansion of R in R 1.022 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify 1 into 1 1.023 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.023 * [backup-simplify]: Simplify (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))) into (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))) 1.023 * [backup-simplify]: Simplify (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))) into (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))) 1.023 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0 1.024 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0 1.024 * [taylor]: Taking taylor expansion of 0 in phi2 1.024 * [backup-simplify]: Simplify 0 into 0 1.024 * [taylor]: Taking taylor expansion of 0 in lambda1 1.024 * [backup-simplify]: Simplify 0 into 0 1.024 * [taylor]: Taking taylor expansion of 0 in lambda2 1.024 * [backup-simplify]: Simplify 0 into 0 1.024 * [taylor]: Taking taylor expansion of 0 in R 1.024 * [backup-simplify]: Simplify 0 into 0 1.025 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0 1.026 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0 1.026 * [taylor]: Taking taylor expansion of 0 in lambda1 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [taylor]: Taking taylor expansion of 0 in lambda2 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [taylor]: Taking taylor expansion of 0 in R 1.026 * [backup-simplify]: Simplify 0 into 0 1.027 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0 1.028 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0 1.028 * [taylor]: Taking taylor expansion of 0 in lambda2 1.028 * [backup-simplify]: Simplify 0 into 0 1.028 * [taylor]: Taking taylor expansion of 0 in R 1.028 * [backup-simplify]: Simplify 0 into 0 1.029 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0 1.030 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0 1.030 * [taylor]: Taking taylor expansion of 0 in R 1.030 * [backup-simplify]: Simplify 0 into 0 1.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) (/ 0 1)))) into 0 1.032 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))))) into 0 1.032 * [backup-simplify]: Simplify 0 into 0 1.033 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.034 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0 1.034 * [taylor]: Taking taylor expansion of 0 in phi2 1.035 * [backup-simplify]: Simplify 0 into 0 1.035 * [taylor]: Taking taylor expansion of 0 in lambda1 1.035 * [backup-simplify]: Simplify 0 into 0 1.035 * [taylor]: Taking taylor expansion of 0 in lambda2 1.035 * [backup-simplify]: Simplify 0 into 0 1.035 * [taylor]: Taking taylor expansion of 0 in R 1.035 * [backup-simplify]: Simplify 0 into 0 1.035 * [taylor]: Taking taylor expansion of 0 in lambda1 1.035 * [backup-simplify]: Simplify 0 into 0 1.035 * [taylor]: Taking taylor expansion of 0 in lambda2 1.035 * [backup-simplify]: Simplify 0 into 0 1.035 * [taylor]: Taking taylor expansion of 0 in R 1.035 * [backup-simplify]: Simplify 0 into 0 1.036 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.037 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0 1.037 * [taylor]: Taking taylor expansion of 0 in lambda1 1.037 * [backup-simplify]: Simplify 0 into 0 1.037 * [taylor]: Taking taylor expansion of 0 in lambda2 1.037 * [backup-simplify]: Simplify 0 into 0 1.037 * [taylor]: Taking taylor expansion of 0 in R 1.037 * [backup-simplify]: Simplify 0 into 0 1.037 * [taylor]: Taking taylor expansion of 0 in lambda2 1.037 * [backup-simplify]: Simplify 0 into 0 1.037 * [taylor]: Taking taylor expansion of 0 in R 1.038 * [backup-simplify]: Simplify 0 into 0 1.038 * [taylor]: Taking taylor expansion of 0 in lambda2 1.038 * [backup-simplify]: Simplify 0 into 0 1.038 * [taylor]: Taking taylor expansion of 0 in R 1.038 * [backup-simplify]: Simplify 0 into 0 1.038 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.040 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0 1.040 * [taylor]: Taking taylor expansion of 0 in lambda2 1.040 * [backup-simplify]: Simplify 0 into 0 1.040 * [taylor]: Taking taylor expansion of 0 in R 1.040 * [backup-simplify]: Simplify 0 into 0 1.040 * [taylor]: Taking taylor expansion of 0 in R 1.040 * [backup-simplify]: Simplify 0 into 0 1.040 * [taylor]: Taking taylor expansion of 0 in R 1.040 * [backup-simplify]: Simplify 0 into 0 1.040 * [taylor]: Taking taylor expansion of 0 in R 1.040 * [backup-simplify]: Simplify 0 into 0 1.041 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.042 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0 1.042 * [taylor]: Taking taylor expansion of 0 in R 1.042 * [backup-simplify]: Simplify 0 into 0 1.042 * [backup-simplify]: Simplify 0 into 0 1.042 * [backup-simplify]: Simplify 0 into 0 1.042 * [backup-simplify]: Simplify 0 into 0 1.043 * [backup-simplify]: Simplify 0 into 0 1.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.046 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))))) into 0 1.046 * [backup-simplify]: Simplify 0 into 0 1.047 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1)))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 1.047 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.047 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2)) 1.048 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 1.048 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 1.048 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 1.048 * [taylor]: Taking taylor expansion of phi1 in phi2 1.048 * [backup-simplify]: Simplify phi1 into phi1 1.048 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 1.048 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 1.048 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.048 * [taylor]: Taking taylor expansion of phi2 in phi2 1.048 * [backup-simplify]: Simplify 0 into 0 1.048 * [backup-simplify]: Simplify 1 into 1 1.048 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.048 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.048 * [taylor]: Taking taylor expansion of phi1 in phi1 1.048 * [backup-simplify]: Simplify 0 into 0 1.048 * [backup-simplify]: Simplify 1 into 1 1.048 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.048 * [taylor]: Taking taylor expansion of phi2 in phi1 1.048 * [backup-simplify]: Simplify phi2 into phi2 1.048 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 1.048 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 1.048 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.048 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.048 * [taylor]: Taking taylor expansion of phi1 in phi1 1.048 * [backup-simplify]: Simplify 0 into 0 1.048 * [backup-simplify]: Simplify 1 into 1 1.048 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.048 * [taylor]: Taking taylor expansion of phi2 in phi1 1.048 * [backup-simplify]: Simplify phi2 into phi2 1.048 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 1.049 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 1.049 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 1.049 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 1.049 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 1.049 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 1.049 * [taylor]: Taking taylor expansion of 0 in phi2 1.049 * [backup-simplify]: Simplify 0 into 0 1.049 * [backup-simplify]: Simplify 0 into 0 1.050 * [backup-simplify]: Simplify (+ 0) into 0 1.050 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 1.051 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.052 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 1.052 * [backup-simplify]: Simplify (+ 0 0) into 0 1.053 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.053 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 1.053 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.053 * [taylor]: Taking taylor expansion of phi2 in phi2 1.053 * [backup-simplify]: Simplify 0 into 0 1.054 * [backup-simplify]: Simplify 1 into 1 1.054 * [backup-simplify]: Simplify 0 into 0 1.054 * [backup-simplify]: Simplify 0 into 0 1.055 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.055 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 1.056 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.057 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 1.057 * [backup-simplify]: Simplify (+ 0 0) into 0 1.058 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.059 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 1.059 * [taylor]: Taking taylor expansion of 0 in phi2 1.059 * [backup-simplify]: Simplify 0 into 0 1.059 * [backup-simplify]: Simplify 0 into 0 1.060 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.060 * [backup-simplify]: Simplify 1 into 1 1.060 * [backup-simplify]: Simplify 0 into 0 1.061 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.062 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.064 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.065 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.065 * [backup-simplify]: Simplify (+ 0 0) into 0 1.067 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.068 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 1.068 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 1.068 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 1.068 * [taylor]: Taking taylor expansion of 1/6 in phi2 1.068 * [backup-simplify]: Simplify 1/6 into 1/6 1.068 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.068 * [taylor]: Taking taylor expansion of phi2 in phi2 1.068 * [backup-simplify]: Simplify 0 into 0 1.069 * [backup-simplify]: Simplify 1 into 1 1.069 * [backup-simplify]: Simplify (* 1/6 0) into 0 1.069 * [backup-simplify]: Simplify (- 0) into 0 1.069 * [backup-simplify]: Simplify 0 into 0 1.069 * [backup-simplify]: Simplify 0 into 0 1.070 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.070 * [backup-simplify]: Simplify 0 into 0 1.070 * [backup-simplify]: Simplify 0 into 0 1.073 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 1.073 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.074 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.075 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.075 * [backup-simplify]: Simplify (+ 0 0) into 0 1.076 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.077 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 1.077 * [taylor]: Taking taylor expansion of 0 in phi2 1.077 * [backup-simplify]: Simplify 0 into 0 1.077 * [backup-simplify]: Simplify 0 into 0 1.077 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2) 1.077 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 1.077 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0 1.078 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 1.078 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.078 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.078 * [taylor]: Taking taylor expansion of phi2 in phi2 1.078 * [backup-simplify]: Simplify 0 into 0 1.078 * [backup-simplify]: Simplify 1 into 1 1.078 * [backup-simplify]: Simplify (/ 1 1) into 1 1.078 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.078 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.078 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.078 * [taylor]: Taking taylor expansion of phi1 in phi2 1.078 * [backup-simplify]: Simplify phi1 into phi1 1.078 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.078 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.078 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.078 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 1.078 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.078 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.078 * [taylor]: Taking taylor expansion of phi2 in phi1 1.078 * [backup-simplify]: Simplify phi2 into phi2 1.078 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.078 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.078 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.078 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.078 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.078 * [taylor]: Taking taylor expansion of phi1 in phi1 1.078 * [backup-simplify]: Simplify 0 into 0 1.078 * [backup-simplify]: Simplify 1 into 1 1.079 * [backup-simplify]: Simplify (/ 1 1) into 1 1.079 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.079 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 1.079 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.079 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.079 * [taylor]: Taking taylor expansion of phi2 in phi1 1.079 * [backup-simplify]: Simplify phi2 into phi2 1.079 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.079 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.079 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.079 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.079 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.079 * [taylor]: Taking taylor expansion of phi1 in phi1 1.079 * [backup-simplify]: Simplify 0 into 0 1.079 * [backup-simplify]: Simplify 1 into 1 1.079 * [backup-simplify]: Simplify (/ 1 1) into 1 1.079 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.079 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 1.080 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 1.080 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 1.080 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 1.080 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 1.080 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.080 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.080 * [taylor]: Taking taylor expansion of phi2 in phi2 1.080 * [backup-simplify]: Simplify 0 into 0 1.080 * [backup-simplify]: Simplify 1 into 1 1.080 * [backup-simplify]: Simplify (/ 1 1) into 1 1.080 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.080 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.080 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.080 * [taylor]: Taking taylor expansion of phi1 in phi2 1.080 * [backup-simplify]: Simplify phi1 into phi1 1.080 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.080 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.080 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.080 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 1.080 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 1.081 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 1.081 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 1.081 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 1.081 * [backup-simplify]: Simplify (+ 0) into 0 1.081 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 1.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.082 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.082 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 1.083 * [backup-simplify]: Simplify (+ 0 0) into 0 1.083 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 1.083 * [taylor]: Taking taylor expansion of 0 in phi2 1.083 * [backup-simplify]: Simplify 0 into 0 1.083 * [backup-simplify]: Simplify 0 into 0 1.083 * [backup-simplify]: Simplify (+ 0) into 0 1.083 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 1.083 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.084 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.084 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 1.084 * [backup-simplify]: Simplify (+ 0 0) into 0 1.084 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 1.084 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.088 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.089 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.090 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.090 * [backup-simplify]: Simplify (+ 0 0) into 0 1.090 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 1.090 * [taylor]: Taking taylor expansion of 0 in phi2 1.090 * [backup-simplify]: Simplify 0 into 0 1.090 * [backup-simplify]: Simplify 0 into 0 1.090 * [backup-simplify]: Simplify 0 into 0 1.091 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.091 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 1.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.092 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.092 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 1.092 * [backup-simplify]: Simplify (+ 0 0) into 0 1.093 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 1.093 * [backup-simplify]: Simplify 0 into 0 1.093 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.094 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.095 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.095 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.096 * [backup-simplify]: Simplify (+ 0 0) into 0 1.096 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0 1.096 * [taylor]: Taking taylor expansion of 0 in phi2 1.096 * [backup-simplify]: Simplify 0 into 0 1.096 * [backup-simplify]: Simplify 0 into 0 1.097 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2)) 1.097 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.097 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 1.097 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.097 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.097 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.097 * [taylor]: Taking taylor expansion of -1 in phi2 1.097 * [backup-simplify]: Simplify -1 into -1 1.097 * [taylor]: Taking taylor expansion of phi1 in phi2 1.097 * [backup-simplify]: Simplify phi1 into phi1 1.097 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 1.097 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.097 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.097 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.097 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.097 * [taylor]: Taking taylor expansion of -1 in phi2 1.097 * [backup-simplify]: Simplify -1 into -1 1.097 * [taylor]: Taking taylor expansion of phi2 in phi2 1.097 * [backup-simplify]: Simplify 0 into 0 1.097 * [backup-simplify]: Simplify 1 into 1 1.097 * [backup-simplify]: Simplify (/ -1 1) into -1 1.097 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.097 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.097 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.098 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.098 * [taylor]: Taking taylor expansion of -1 in phi1 1.098 * [backup-simplify]: Simplify -1 into -1 1.098 * [taylor]: Taking taylor expansion of phi1 in phi1 1.098 * [backup-simplify]: Simplify 0 into 0 1.098 * [backup-simplify]: Simplify 1 into 1 1.098 * [backup-simplify]: Simplify (/ -1 1) into -1 1.098 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.098 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.098 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.098 * [taylor]: Taking taylor expansion of -1 in phi1 1.098 * [backup-simplify]: Simplify -1 into -1 1.098 * [taylor]: Taking taylor expansion of phi2 in phi1 1.098 * [backup-simplify]: Simplify phi2 into phi2 1.098 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 1.098 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.098 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.098 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.098 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.098 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.098 * [taylor]: Taking taylor expansion of -1 in phi1 1.098 * [backup-simplify]: Simplify -1 into -1 1.098 * [taylor]: Taking taylor expansion of phi1 in phi1 1.098 * [backup-simplify]: Simplify 0 into 0 1.098 * [backup-simplify]: Simplify 1 into 1 1.099 * [backup-simplify]: Simplify (/ -1 1) into -1 1.099 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.099 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.099 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.099 * [taylor]: Taking taylor expansion of -1 in phi1 1.099 * [backup-simplify]: Simplify -1 into -1 1.099 * [taylor]: Taking taylor expansion of phi2 in phi1 1.099 * [backup-simplify]: Simplify phi2 into phi2 1.099 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 1.099 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.099 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.099 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 1.099 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 1.099 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 1.099 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.099 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.099 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.099 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.099 * [taylor]: Taking taylor expansion of -1 in phi2 1.099 * [backup-simplify]: Simplify -1 into -1 1.099 * [taylor]: Taking taylor expansion of phi1 in phi2 1.099 * [backup-simplify]: Simplify phi1 into phi1 1.099 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 1.099 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.099 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.099 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.099 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.099 * [taylor]: Taking taylor expansion of -1 in phi2 1.099 * [backup-simplify]: Simplify -1 into -1 1.099 * [taylor]: Taking taylor expansion of phi2 in phi2 1.099 * [backup-simplify]: Simplify 0 into 0 1.099 * [backup-simplify]: Simplify 1 into 1 1.100 * [backup-simplify]: Simplify (/ -1 1) into -1 1.100 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.100 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 1.100 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 1.100 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 1.100 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.100 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.100 * [backup-simplify]: Simplify (+ 0) into 0 1.101 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 1.101 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 1.102 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.102 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 1.103 * [backup-simplify]: Simplify (+ 0 0) into 0 1.103 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 1.103 * [taylor]: Taking taylor expansion of 0 in phi2 1.103 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify (+ 0) into 0 1.104 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 1.104 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 1.105 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.105 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 1.106 * [backup-simplify]: Simplify (+ 0 0) into 0 1.106 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 1.106 * [backup-simplify]: Simplify 0 into 0 1.107 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.107 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.108 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.108 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.109 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.109 * [backup-simplify]: Simplify (+ 0 0) into 0 1.110 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 1.110 * [taylor]: Taking taylor expansion of 0 in phi2 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [backup-simplify]: Simplify 0 into 0 1.111 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.112 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 1.112 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.113 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.113 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 1.114 * [backup-simplify]: Simplify (+ 0 0) into 0 1.114 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 1.114 * [backup-simplify]: Simplify 0 into 0 1.115 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.116 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.116 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.118 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.118 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.119 * [backup-simplify]: Simplify (+ 0 0) into 0 1.120 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 1.120 * [taylor]: Taking taylor expansion of 0 in phi2 1.120 * [backup-simplify]: Simplify 0 into 0 1.120 * [backup-simplify]: Simplify 0 into 0 1.120 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 1.120 * * * [progress]: simplifying candidates 1.120 * * * * [progress]: [ 1 / 71 ] simplifiying candidate # 1.121 * [simplify]: Simplifying (* (cos lambda1) (cos (- lambda2))) 1.121 * * [simplify]: iters left: 5 (6 enodes) 1.123 * * [simplify]: iters left: 4 (20 enodes) 1.129 * * [simplify]: Extracting #0: cost 1 inf + 0 1.129 * * [simplify]: Extracting #1: cost 4 inf + 0 1.129 * * [simplify]: Extracting #2: cost 9 inf + 0 1.129 * * [simplify]: Extracting #3: cost 5 inf + 165 1.129 * * [simplify]: Extracting #4: cost 0 inf + 652 1.129 * [simplify]: Simplified to (* (cos lambda1) (cos lambda2)) 1.130 * [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)) 1.130 * * * * [progress]: [ 2 / 71 ] simplifiying candidate # 1.130 * [simplify]: Simplifying (* (cos lambda1) (cos (- lambda2))) 1.130 * * [simplify]: iters left: 5 (6 enodes) 1.133 * * [simplify]: iters left: 4 (20 enodes) 1.135 * * [simplify]: Extracting #0: cost 1 inf + 0 1.135 * * [simplify]: Extracting #1: cost 4 inf + 0 1.135 * * [simplify]: Extracting #2: cost 9 inf + 0 1.135 * * [simplify]: Extracting #3: cost 5 inf + 165 1.135 * * [simplify]: Extracting #4: cost 0 inf + 652 1.135 * [simplify]: Simplified to (* (cos lambda1) (cos lambda2)) 1.135 * [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)) 1.136 * * * * [progress]: [ 3 / 71 ] simplifiying candidate # 1.136 * [simplify]: Simplifying (* (cos lambda1) (cos lambda2)) 1.136 * * [simplify]: iters left: 3 (5 enodes) 1.137 * * [simplify]: iters left: 2 (16 enodes) 1.139 * * [simplify]: Extracting #0: cost 1 inf + 0 1.139 * * [simplify]: Extracting #1: cost 4 inf + 0 1.139 * * [simplify]: Extracting #2: cost 8 inf + 0 1.139 * * [simplify]: Extracting #3: cost 4 inf + 124 1.139 * * [simplify]: Extracting #4: cost 0 inf + 570 1.139 * [simplify]: Simplified to (* (cos lambda2) (cos lambda1)) 1.139 * [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)) 1.139 * * * * [progress]: [ 4 / 71 ] simplifiying candidate # 1.139 * * * * [progress]: [ 5 / 71 ] simplifiying candidate # 1.139 * * * * [progress]: [ 6 / 71 ] simplifiying candidate # 1.139 * * * * [progress]: [ 7 / 71 ] simplifiying candidate # 1.140 * * * * [progress]: [ 8 / 71 ] simplifiying candidate # 1.140 * * * * [progress]: [ 9 / 71 ] simplifiying candidate # 1.140 * * * * [progress]: [ 10 / 71 ] simplifiying candidate # 1.140 * * * * [progress]: [ 11 / 71 ] simplifiying candidate #real (real->posit16 (cos (- lambda1 lambda2))))))) R))> 1.140 * * * * [progress]: [ 12 / 71 ] simplifiying candidate # 1.140 * * * * [progress]: [ 13 / 71 ] simplifiying candidate # 1.140 * * * * [progress]: [ 14 / 71 ] simplifiying candidate # 1.140 * * * * [progress]: [ 15 / 71 ] simplifiying candidate # 1.140 * * * * [progress]: [ 16 / 71 ] simplifiying candidate # 1.140 * * * * [progress]: [ 17 / 71 ] simplifiying candidate # 1.140 * * * * [progress]: [ 18 / 71 ] simplifiying candidate # 1.140 * * * * [progress]: [ 19 / 71 ] simplifiying candidate # 1.140 * * * * [progress]: [ 20 / 71 ] simplifiying candidate #real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))> 1.140 * * * * [progress]: [ 21 / 71 ] simplifiying candidate # 1.140 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 1.140 * * [simplify]: iters left: 6 (17 enodes) 1.144 * * [simplify]: iters left: 5 (60 enodes) 1.152 * * [simplify]: iters left: 4 (71 enodes) 1.161 * * [simplify]: iters left: 3 (76 enodes) 1.180 * * [simplify]: Extracting #0: cost 1 inf + 0 1.180 * * [simplify]: Extracting #1: cost 4 inf + 0 1.180 * * [simplify]: Extracting #2: cost 5 inf + 1 1.180 * * [simplify]: Extracting #3: cost 8 inf + 1 1.180 * * [simplify]: Extracting #4: cost 18 inf + 1 1.180 * * [simplify]: Extracting #5: cost 29 inf + 1 1.181 * * [simplify]: Extracting #6: cost 25 inf + 369 1.181 * * [simplify]: Extracting #7: cost 19 inf + 979 1.182 * * [simplify]: Extracting #8: cost 9 inf + 2522 1.183 * * [simplify]: Extracting #9: cost 0 inf + 6397 1.185 * [simplify]: Simplified to (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 1.185 * [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)) 1.185 * * * * [progress]: [ 22 / 71 ] simplifiying candidate # 1.185 * * * * [progress]: [ 23 / 71 ] simplifiying candidate # 1.186 * [simplify]: Simplifying (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log R)) 1.186 * * [simplify]: iters left: 6 (19 enodes) 1.194 * * [simplify]: iters left: 5 (66 enodes) 1.215 * * [simplify]: iters left: 4 (77 enodes) 1.236 * * [simplify]: iters left: 3 (82 enodes) 1.256 * * [simplify]: Extracting #0: cost 1 inf + 0 1.257 * * [simplify]: Extracting #1: cost 4 inf + 0 1.257 * * [simplify]: Extracting #2: cost 8 inf + 0 1.257 * * [simplify]: Extracting #3: cost 9 inf + 1 1.257 * * [simplify]: Extracting #4: cost 10 inf + 143 1.257 * * [simplify]: Extracting #5: cost 20 inf + 143 1.257 * * [simplify]: Extracting #6: cost 31 inf + 143 1.257 * * [simplify]: Extracting #7: cost 26 inf + 572 1.258 * * [simplify]: Extracting #8: cost 22 inf + 959 1.259 * * [simplify]: Extracting #9: cost 12 inf + 2825 1.260 * * [simplify]: Extracting #10: cost 3 inf + 5933 1.262 * * [simplify]: Extracting #11: cost 0 inf + 8147 1.264 * [simplify]: Simplified to (+ (log R) (log (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) 1.264 * [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)))))))) 1.265 * * * * [progress]: [ 24 / 71 ] simplifiying candidate # 1.265 * * * * [progress]: [ 25 / 71 ] simplifiying candidate # 1.265 * * * * [progress]: [ 26 / 71 ] simplifiying candidate # 1.265 * [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)) 1.265 * * [simplify]: iters left: 6 (21 enodes) 1.274 * * [simplify]: iters left: 5 (78 enodes) 1.297 * * [simplify]: iters left: 4 (118 enodes) 1.326 * * [simplify]: iters left: 3 (178 enodes) 1.358 * * [simplify]: iters left: 2 (254 enodes) 1.412 * * [simplify]: iters left: 1 (411 enodes) 1.565 * * [simplify]: Extracting #0: cost 1 inf + 0 1.565 * * [simplify]: Extracting #1: cost 48 inf + 0 1.566 * * [simplify]: Extracting #2: cost 145 inf + 2 1.568 * * [simplify]: Extracting #3: cost 149 inf + 934 1.569 * * [simplify]: Extracting #4: cost 155 inf + 2154 1.571 * * [simplify]: Extracting #5: cost 161 inf + 3374 1.573 * * [simplify]: Extracting #6: cost 154 inf + 4379 1.579 * * [simplify]: Extracting #7: cost 121 inf + 22485 1.604 * * [simplify]: Extracting #8: cost 48 inf + 88157 1.648 * * [simplify]: Extracting #9: cost 1 inf + 137613 1.672 * * [simplify]: Extracting #10: cost 0 inf + 138710 1.694 * [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))) 1.694 * [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))))) 1.694 * * * * [progress]: [ 27 / 71 ] simplifiying candidate # 1.695 * * * * [progress]: [ 28 / 71 ] simplifiying candidate # 1.695 * * * * [progress]: [ 29 / 71 ] simplifiying candidate # 1.695 * * * * [progress]: [ 30 / 71 ] simplifiying candidate # 1.695 * * * * [progress]: [ 31 / 71 ] simplifiying candidate # 1.695 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) 1.695 * * [simplify]: iters left: 6 (19 enodes) 1.699 * * [simplify]: iters left: 5 (66 enodes) 1.707 * * [simplify]: iters left: 4 (77 enodes) 1.718 * * [simplify]: iters left: 3 (82 enodes) 1.729 * * [simplify]: Extracting #0: cost 1 inf + 0 1.729 * * [simplify]: Extracting #1: cost 4 inf + 0 1.729 * * [simplify]: Extracting #2: cost 8 inf + 0 1.729 * * [simplify]: Extracting #3: cost 9 inf + 1 1.729 * * [simplify]: Extracting #4: cost 10 inf + 83 1.729 * * [simplify]: Extracting #5: cost 20 inf + 83 1.729 * * [simplify]: Extracting #6: cost 31 inf + 83 1.729 * * [simplify]: Extracting #7: cost 26 inf + 512 1.730 * * [simplify]: Extracting #8: cost 22 inf + 899 1.730 * * [simplify]: Extracting #9: cost 12 inf + 2765 1.731 * * [simplify]: Extracting #10: cost 3 inf + 5843 1.732 * * [simplify]: Extracting #11: cost 0 inf + 7907 1.733 * [simplify]: Simplified to (* (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (sqrt R)) 1.733 * [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)))) 1.733 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) 1.733 * * [simplify]: iters left: 6 (19 enodes) 1.737 * * [simplify]: iters left: 5 (66 enodes) 1.745 * * [simplify]: iters left: 4 (77 enodes) 1.755 * * [simplify]: iters left: 3 (82 enodes) 1.765 * * [simplify]: Extracting #0: cost 1 inf + 0 1.765 * * [simplify]: Extracting #1: cost 4 inf + 0 1.765 * * [simplify]: Extracting #2: cost 8 inf + 0 1.765 * * [simplify]: Extracting #3: cost 9 inf + 1 1.765 * * [simplify]: Extracting #4: cost 10 inf + 83 1.765 * * [simplify]: Extracting #5: cost 20 inf + 83 1.765 * * [simplify]: Extracting #6: cost 31 inf + 83 1.765 * * [simplify]: Extracting #7: cost 26 inf + 512 1.766 * * [simplify]: Extracting #8: cost 22 inf + 899 1.766 * * [simplify]: Extracting #9: cost 12 inf + 2765 1.767 * * [simplify]: Extracting #10: cost 3 inf + 5843 1.768 * * [simplify]: Extracting #11: cost 0 inf + 7907 1.769 * [simplify]: Simplified to (* (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (sqrt R)) 1.769 * [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)))) 1.769 * * * * [progress]: [ 32 / 71 ] simplifiying candidate # 1.769 * [simplify]: Simplifying (cbrt R) 1.769 * * [simplify]: iters left: 1 (2 enodes) 1.770 * * [simplify]: Extracting #0: cost 1 inf + 0 1.770 * * [simplify]: Extracting #1: cost 3 inf + 0 1.770 * * [simplify]: Extracting #2: cost 2 inf + 1 1.770 * * [simplify]: Extracting #3: cost 0 inf + 163 1.770 * [simplify]: Simplified to (cbrt R) 1.770 * [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))) 1.770 * * * * [progress]: [ 33 / 71 ] simplifiying candidate # 1.770 * [simplify]: Simplifying (sqrt R) 1.770 * * [simplify]: iters left: 1 (2 enodes) 1.771 * * [simplify]: Extracting #0: cost 1 inf + 0 1.771 * * [simplify]: Extracting #1: cost 3 inf + 0 1.771 * * [simplify]: Extracting #2: cost 2 inf + 1 1.771 * * [simplify]: Extracting #3: cost 0 inf + 83 1.771 * [simplify]: Simplified to (sqrt R) 1.771 * [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))) 1.771 * * * * [progress]: [ 34 / 71 ] simplifiying candidate # 1.771 * * * * [progress]: [ 35 / 71 ] simplifiying candidate # 1.771 * [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))))))) 1.771 * * [simplify]: iters left: 6 (17 enodes) 1.775 * * [simplify]: iters left: 5 (59 enodes) 1.788 * * [simplify]: iters left: 4 (70 enodes) 1.807 * * [simplify]: iters left: 3 (76 enodes) 1.827 * * [simplify]: Extracting #0: cost 1 inf + 0 1.828 * * [simplify]: Extracting #1: cost 3 inf + 0 1.828 * * [simplify]: Extracting #2: cost 5 inf + 0 1.828 * * [simplify]: Extracting #3: cost 7 inf + 0 1.828 * * [simplify]: Extracting #4: cost 10 inf + 0 1.828 * * [simplify]: Extracting #5: cost 20 inf + 0 1.828 * * [simplify]: Extracting #6: cost 31 inf + 0 1.828 * * [simplify]: Extracting #7: cost 27 inf + 368 1.828 * * [simplify]: Extracting #8: cost 21 inf + 978 1.829 * * [simplify]: Extracting #9: cost 10 inf + 2724 1.831 * * [simplify]: Extracting #10: cost 0 inf + 7902 1.833 * [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)))))) 1.833 * [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))) 1.833 * * * * [progress]: [ 36 / 71 ] simplifiying candidate # 1.834 * [simplify]: Simplifying (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) 1.834 * * [simplify]: iters left: 6 (16 enodes) 1.840 * * [simplify]: iters left: 5 (56 enodes) 1.854 * * [simplify]: iters left: 4 (67 enodes) 1.863 * * [simplify]: iters left: 3 (73 enodes) 1.871 * * [simplify]: Extracting #0: cost 1 inf + 0 1.871 * * [simplify]: Extracting #1: cost 3 inf + 0 1.871 * * [simplify]: Extracting #2: cost 5 inf + 0 1.871 * * [simplify]: Extracting #3: cost 8 inf + 0 1.872 * * [simplify]: Extracting #4: cost 18 inf + 0 1.872 * * [simplify]: Extracting #5: cost 29 inf + 0 1.872 * * [simplify]: Extracting #6: cost 26 inf + 307 1.872 * * [simplify]: Extracting #7: cost 20 inf + 816 1.872 * * [simplify]: Extracting #8: cost 8 inf + 2825 1.873 * * [simplify]: Extracting #9: cost 1 inf + 5760 1.874 * * [simplify]: Extracting #10: cost 0 inf + 6394 1.875 * [simplify]: Simplified to (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 1.875 * [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))) 1.875 * * * * [progress]: [ 37 / 71 ] simplifiying candidate # 1.875 * * * * [progress]: [ 38 / 71 ] simplifiying candidate #real (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))> 1.875 * * * * [progress]: [ 39 / 71 ] simplifiying candidate # 1.875 * * * * [progress]: [ 40 / 71 ] simplifiying candidate # 1.875 * [simplify]: Simplifying (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 1.875 * * [simplify]: iters left: 5 (7 enodes) 1.877 * * [simplify]: iters left: 4 (26 enodes) 1.880 * * [simplify]: iters left: 3 (32 enodes) 1.884 * * [simplify]: Extracting #0: cost 1 inf + 0 1.884 * * [simplify]: Extracting #1: cost 5 inf + 0 1.884 * * [simplify]: Extracting #2: cost 10 inf + 0 1.884 * * [simplify]: Extracting #3: cost 15 inf + 0 1.884 * * [simplify]: Extracting #4: cost 13 inf + 43 1.884 * * [simplify]: Extracting #5: cost 4 inf + 800 1.884 * * [simplify]: Extracting #6: cost 1 inf + 1186 1.885 * * [simplify]: Extracting #7: cost 0 inf + 1428 1.885 * [simplify]: Simplified to (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) 1.885 * [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)) 1.885 * * * * [progress]: [ 41 / 71 ] simplifiying candidate # 1.886 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 1.886 * * [simplify]: iters left: 3 (5 enodes) 1.888 * * [simplify]: iters left: 2 (16 enodes) 1.892 * * [simplify]: Extracting #0: cost 1 inf + 0 1.892 * * [simplify]: Extracting #1: cost 4 inf + 0 1.892 * * [simplify]: Extracting #2: cost 8 inf + 0 1.892 * * [simplify]: Extracting #3: cost 4 inf + 124 1.892 * * [simplify]: Extracting #4: cost 0 inf + 570 1.892 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 1.892 * [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)) 1.893 * * * * [progress]: [ 42 / 71 ] simplifiying candidate # 1.893 * * * * [progress]: [ 43 / 71 ] simplifiying candidate # 1.893 * [simplify]: Simplifying (+ (log (sin phi1)) (log (sin phi2))) 1.893 * * [simplify]: iters left: 4 (7 enodes) 1.896 * * [simplify]: iters left: 3 (22 enodes) 1.902 * * [simplify]: Extracting #0: cost 1 inf + 0 1.902 * * [simplify]: Extracting #1: cost 4 inf + 0 1.902 * * [simplify]: Extracting #2: cost 8 inf + 0 1.902 * * [simplify]: Extracting #3: cost 12 inf + 0 1.902 * * [simplify]: Extracting #4: cost 10 inf + 2 1.902 * * [simplify]: Extracting #5: cost 4 inf + 508 1.902 * * [simplify]: Extracting #6: cost 1 inf + 1072 1.903 * * [simplify]: Extracting #7: cost 0 inf + 1374 1.903 * [simplify]: Simplified to (+ (log (sin phi2)) (log (sin phi1))) 1.903 * [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)) 1.903 * * * * [progress]: [ 44 / 71 ] simplifiying candidate # 1.903 * * * * [progress]: [ 45 / 71 ] simplifiying candidate # 1.903 * * * * [progress]: [ 46 / 71 ] simplifiying candidate # 1.904 * [simplify]: Simplifying (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) 1.904 * * [simplify]: iters left: 6 (9 enodes) 1.908 * * [simplify]: iters left: 5 (34 enodes) 1.913 * * [simplify]: iters left: 4 (63 enodes) 1.926 * * [simplify]: iters left: 3 (122 enodes) 1.957 * * [simplify]: iters left: 2 (196 enodes) 2.041 * * [simplify]: iters left: 1 (356 enodes) 2.179 * * [simplify]: Extracting #0: cost 1 inf + 0 2.180 * * [simplify]: Extracting #1: cost 70 inf + 0 2.181 * * [simplify]: Extracting #2: cost 169 inf + 1 2.182 * * [simplify]: Extracting #3: cost 154 inf + 2658 2.190 * * [simplify]: Extracting #4: cost 86 inf + 31524 2.205 * * [simplify]: Extracting #5: cost 7 inf + 77226 2.221 * * [simplify]: Extracting #6: cost 0 inf + 81813 2.237 * [simplify]: Simplified to (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1))) 2.237 * [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)) 2.237 * * * * [progress]: [ 47 / 71 ] simplifiying candidate # 2.238 * * * * [progress]: [ 48 / 71 ] simplifiying candidate # 2.238 * * * * [progress]: [ 49 / 71 ] simplifiying candidate # 2.238 * * * * [progress]: [ 50 / 71 ] simplifiying candidate # 2.238 * * * * [progress]: [ 51 / 71 ] simplifiying candidate # 2.238 * [simplify]: Simplifying (* (sqrt (sin phi1)) (sqrt (sin phi2))) 2.238 * * [simplify]: iters left: 4 (7 enodes) 2.241 * * [simplify]: iters left: 3 (22 enodes) 2.247 * * [simplify]: Extracting #0: cost 1 inf + 0 2.247 * * [simplify]: Extracting #1: cost 4 inf + 0 2.247 * * [simplify]: Extracting #2: cost 8 inf + 0 2.247 * * [simplify]: Extracting #3: cost 12 inf + 0 2.247 * * [simplify]: Extracting #4: cost 10 inf + 2 2.248 * * [simplify]: Extracting #5: cost 4 inf + 448 2.248 * * [simplify]: Extracting #6: cost 1 inf + 892 2.248 * * [simplify]: Extracting #7: cost 0 inf + 1134 2.248 * [simplify]: Simplified to (* (sqrt (sin phi1)) (sqrt (sin phi2))) 2.248 * [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)) 2.249 * [simplify]: Simplifying (* (sqrt (sin phi1)) (sqrt (sin phi2))) 2.249 * * [simplify]: iters left: 4 (7 enodes) 2.252 * * [simplify]: iters left: 3 (22 enodes) 2.258 * * [simplify]: Extracting #0: cost 1 inf + 0 2.258 * * [simplify]: Extracting #1: cost 4 inf + 0 2.258 * * [simplify]: Extracting #2: cost 8 inf + 0 2.258 * * [simplify]: Extracting #3: cost 12 inf + 0 2.258 * * [simplify]: Extracting #4: cost 10 inf + 2 2.258 * * [simplify]: Extracting #5: cost 4 inf + 448 2.258 * * [simplify]: Extracting #6: cost 1 inf + 892 2.259 * * [simplify]: Extracting #7: cost 0 inf + 1134 2.259 * [simplify]: Simplified to (* (sqrt (sin phi1)) (sqrt (sin phi2))) 2.259 * [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)) 2.259 * * * * [progress]: [ 52 / 71 ] simplifiying candidate # 2.260 * [simplify]: Simplifying (cbrt (sin phi2)) 2.260 * * [simplify]: iters left: 2 (3 enodes) 2.261 * * [simplify]: iters left: 1 (9 enodes) 2.263 * * [simplify]: Extracting #0: cost 1 inf + 0 2.263 * * [simplify]: Extracting #1: cost 3 inf + 0 2.263 * * [simplify]: Extracting #2: cost 5 inf + 0 2.263 * * [simplify]: Extracting #3: cost 4 inf + 1 2.263 * * [simplify]: Extracting #4: cost 0 inf + 405 2.264 * [simplify]: Simplified to (cbrt (sin phi2)) 2.264 * [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)) 2.264 * * * * [progress]: [ 53 / 71 ] simplifiying candidate # 2.264 * [simplify]: Simplifying (sqrt (sin phi2)) 2.264 * * [simplify]: iters left: 2 (3 enodes) 2.265 * * [simplify]: iters left: 1 (9 enodes) 2.268 * * [simplify]: Extracting #0: cost 1 inf + 0 2.268 * * [simplify]: Extracting #1: cost 3 inf + 0 2.268 * * [simplify]: Extracting #2: cost 5 inf + 0 2.268 * * [simplify]: Extracting #3: cost 4 inf + 1 2.268 * * [simplify]: Extracting #4: cost 0 inf + 325 2.268 * [simplify]: Simplified to (sqrt (sin phi2)) 2.268 * [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)) 2.268 * * * * [progress]: [ 54 / 71 ] simplifiying candidate # 2.269 * [simplify]: Simplifying (sin phi2) 2.269 * * [simplify]: iters left: 1 (2 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 2 inf + 1 2.270 * * [simplify]: Extracting #3: cost 0 inf + 123 2.270 * [simplify]: Simplified to (sin phi2) 2.270 * [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)) 2.270 * * * * [progress]: [ 55 / 71 ] simplifiying candidate # 2.270 * [simplify]: Simplifying (* (cbrt (sin phi1)) (cbrt (sin phi1))) 2.271 * * [simplify]: iters left: 4 (4 enodes) 2.272 * * [simplify]: iters left: 3 (12 enodes) 2.275 * * [simplify]: Extracting #0: cost 1 inf + 0 2.275 * * [simplify]: Extracting #1: cost 3 inf + 0 2.276 * * [simplify]: Extracting #2: cost 5 inf + 0 2.276 * * [simplify]: Extracting #3: cost 7 inf + 0 2.276 * * [simplify]: Extracting #4: cost 6 inf + 1 2.276 * * [simplify]: Extracting #5: cost 0 inf + 767 2.276 * [simplify]: Simplified to (* (cbrt (sin phi1)) (cbrt (sin phi1))) 2.276 * [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)) 2.276 * * * * [progress]: [ 56 / 71 ] simplifiying candidate # 2.277 * [simplify]: Simplifying (sqrt (sin phi1)) 2.277 * * [simplify]: iters left: 2 (3 enodes) 2.278 * * [simplify]: iters left: 1 (9 enodes) 2.280 * * [simplify]: Extracting #0: cost 1 inf + 0 2.280 * * [simplify]: Extracting #1: cost 3 inf + 0 2.280 * * [simplify]: Extracting #2: cost 5 inf + 0 2.280 * * [simplify]: Extracting #3: cost 4 inf + 1 2.280 * * [simplify]: Extracting #4: cost 0 inf + 325 2.281 * [simplify]: Simplified to (sqrt (sin phi1)) 2.281 * [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)) 2.281 * * * * [progress]: [ 57 / 71 ] simplifiying candidate # 2.281 * * * * [progress]: [ 58 / 71 ] simplifiying candidate #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))> 2.281 * * * * [progress]: [ 59 / 71 ] simplifiying candidate # 2.281 * * * * [progress]: [ 60 / 71 ] simplifiying candidate # 2.281 * [simplify]: Simplifying (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) 2.282 * * [simplify]: iters left: 6 (10 enodes) 2.288 * * [simplify]: iters left: 5 (43 enodes) 2.297 * * [simplify]: iters left: 4 (68 enodes) 2.310 * * [simplify]: iters left: 3 (99 enodes) 2.326 * * [simplify]: iters left: 2 (121 enodes) 2.347 * * [simplify]: iters left: 1 (130 enodes) 2.363 * * [simplify]: Extracting #0: cost 1 inf + 0 2.364 * * [simplify]: Extracting #1: cost 15 inf + 0 2.364 * * [simplify]: Extracting #2: cost 30 inf + 2 2.364 * * [simplify]: Extracting #3: cost 30 inf + 130 2.364 * * [simplify]: Extracting #4: cost 12 inf + 1530 2.365 * * [simplify]: Extracting #5: cost 1 inf + 2680 2.366 * * [simplify]: Extracting #6: cost 0 inf + 2843 2.367 * [simplify]: Simplified to (+ (* (+ (* lambda1 -1/2) lambda2) lambda1) 1) 2.367 * [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)) 2.367 * * * * [progress]: [ 61 / 71 ] simplifiying candidate # 2.367 * [simplify]: Simplifying (cos (- lambda1 lambda2)) 2.367 * * [simplify]: iters left: 3 (4 enodes) 2.368 * * [simplify]: iters left: 2 (14 enodes) 2.370 * * [simplify]: iters left: 1 (17 enodes) 2.372 * * [simplify]: Extracting #0: cost 1 inf + 0 2.372 * * [simplify]: Extracting #1: cost 3 inf + 0 2.372 * * [simplify]: Extracting #2: cost 7 inf + 0 2.372 * * [simplify]: Extracting #3: cost 5 inf + 43 2.372 * * [simplify]: Extracting #4: cost 0 inf + 372 2.372 * [simplify]: Simplified to (cos (- lambda1 lambda2)) 2.372 * [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)) 2.372 * * * * [progress]: [ 62 / 71 ] simplifiying candidate # 2.372 * [simplify]: Simplifying (cos (- lambda1 lambda2)) 2.373 * * [simplify]: iters left: 3 (4 enodes) 2.373 * * [simplify]: iters left: 2 (14 enodes) 2.375 * * [simplify]: iters left: 1 (17 enodes) 2.377 * * [simplify]: Extracting #0: cost 1 inf + 0 2.377 * * [simplify]: Extracting #1: cost 3 inf + 0 2.377 * * [simplify]: Extracting #2: cost 7 inf + 0 2.377 * * [simplify]: Extracting #3: cost 5 inf + 43 2.377 * * [simplify]: Extracting #4: cost 0 inf + 372 2.377 * [simplify]: Simplified to (cos (- lambda1 lambda2)) 2.377 * [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)) 2.377 * * * * [progress]: [ 63 / 71 ] simplifiying candidate # 2.378 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 2.378 * * [simplify]: iters left: 6 (15 enodes) 2.381 * * [simplify]: iters left: 5 (53 enodes) 2.389 * * [simplify]: iters left: 4 (64 enodes) 2.397 * * [simplify]: iters left: 3 (69 enodes) 2.405 * * [simplify]: Extracting #0: cost 1 inf + 0 2.405 * * [simplify]: Extracting #1: cost 3 inf + 0 2.405 * * [simplify]: Extracting #2: cost 6 inf + 0 2.406 * * [simplify]: Extracting #3: cost 16 inf + 0 2.406 * * [simplify]: Extracting #4: cost 27 inf + 0 2.406 * * [simplify]: Extracting #5: cost 24 inf + 307 2.406 * * [simplify]: Extracting #6: cost 10 inf + 2175 2.407 * * [simplify]: Extracting #7: cost 0 inf + 5126 2.407 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 2.407 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 2.408 * * * * [progress]: [ 64 / 71 ] simplifiying candidate # 2.408 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 2.408 * * [simplify]: iters left: 6 (15 enodes) 2.413 * * [simplify]: iters left: 5 (53 enodes) 2.428 * * [simplify]: iters left: 4 (64 enodes) 2.445 * * [simplify]: iters left: 3 (69 enodes) 2.463 * * [simplify]: Extracting #0: cost 1 inf + 0 2.463 * * [simplify]: Extracting #1: cost 3 inf + 0 2.463 * * [simplify]: Extracting #2: cost 6 inf + 0 2.463 * * [simplify]: Extracting #3: cost 16 inf + 0 2.463 * * [simplify]: Extracting #4: cost 27 inf + 0 2.463 * * [simplify]: Extracting #5: cost 24 inf + 307 2.464 * * [simplify]: Extracting #6: cost 10 inf + 2175 2.465 * * [simplify]: Extracting #7: cost 0 inf + 5126 2.467 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 2.467 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 2.467 * * * * [progress]: [ 65 / 71 ] simplifiying candidate # 2.467 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 2.467 * * [simplify]: iters left: 6 (15 enodes) 2.473 * * [simplify]: iters left: 5 (53 enodes) 2.488 * * [simplify]: iters left: 4 (64 enodes) 2.508 * * [simplify]: iters left: 3 (69 enodes) 2.519 * * [simplify]: Extracting #0: cost 1 inf + 0 2.519 * * [simplify]: Extracting #1: cost 3 inf + 0 2.519 * * [simplify]: Extracting #2: cost 6 inf + 0 2.519 * * [simplify]: Extracting #3: cost 16 inf + 0 2.519 * * [simplify]: Extracting #4: cost 27 inf + 0 2.519 * * [simplify]: Extracting #5: cost 24 inf + 307 2.519 * * [simplify]: Extracting #6: cost 10 inf + 2175 2.520 * * [simplify]: Extracting #7: cost 0 inf + 5126 2.521 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 2.521 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 2.521 * * * * [progress]: [ 66 / 71 ] simplifiying candidate # 2.521 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 2.521 * * [simplify]: iters left: 6 (17 enodes) 2.525 * * [simplify]: iters left: 5 (60 enodes) 2.533 * * [simplify]: iters left: 4 (71 enodes) 2.542 * * [simplify]: iters left: 3 (76 enodes) 2.551 * * [simplify]: Extracting #0: cost 1 inf + 0 2.551 * * [simplify]: Extracting #1: cost 4 inf + 0 2.551 * * [simplify]: Extracting #2: cost 5 inf + 1 2.551 * * [simplify]: Extracting #3: cost 8 inf + 1 2.551 * * [simplify]: Extracting #4: cost 18 inf + 1 2.551 * * [simplify]: Extracting #5: cost 29 inf + 1 2.551 * * [simplify]: Extracting #6: cost 26 inf + 308 2.552 * * [simplify]: Extracting #7: cost 15 inf + 1931 2.552 * * [simplify]: Extracting #8: cost 2 inf + 5991 2.553 * * [simplify]: Extracting #9: cost 0 inf + 6397 2.554 * [simplify]: Simplified to (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) 2.554 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) 2.555 * * * * [progress]: [ 67 / 71 ] simplifiying candidate # 2.555 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 2.555 * * [simplify]: iters left: 6 (17 enodes) 2.558 * * [simplify]: iters left: 5 (60 enodes) 2.566 * * [simplify]: iters left: 4 (71 enodes) 2.575 * * [simplify]: iters left: 3 (76 enodes) 2.585 * * [simplify]: Extracting #0: cost 1 inf + 0 2.585 * * [simplify]: Extracting #1: cost 4 inf + 0 2.585 * * [simplify]: Extracting #2: cost 5 inf + 1 2.585 * * [simplify]: Extracting #3: cost 8 inf + 1 2.585 * * [simplify]: Extracting #4: cost 18 inf + 1 2.585 * * [simplify]: Extracting #5: cost 29 inf + 1 2.585 * * [simplify]: Extracting #6: cost 26 inf + 308 2.586 * * [simplify]: Extracting #7: cost 15 inf + 1931 2.587 * * [simplify]: Extracting #8: cost 2 inf + 5991 2.587 * * [simplify]: Extracting #9: cost 0 inf + 6397 2.588 * [simplify]: Simplified to (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) 2.588 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) 2.588 * * * * [progress]: [ 68 / 71 ] simplifiying candidate # 2.589 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 2.589 * * [simplify]: iters left: 6 (17 enodes) 2.592 * * [simplify]: iters left: 5 (60 enodes) 2.603 * * [simplify]: iters left: 4 (71 enodes) 2.622 * * [simplify]: iters left: 3 (76 enodes) 2.641 * * [simplify]: Extracting #0: cost 1 inf + 0 2.641 * * [simplify]: Extracting #1: cost 4 inf + 0 2.641 * * [simplify]: Extracting #2: cost 5 inf + 1 2.641 * * [simplify]: Extracting #3: cost 8 inf + 1 2.641 * * [simplify]: Extracting #4: cost 18 inf + 1 2.641 * * [simplify]: Extracting #5: cost 29 inf + 1 2.641 * * [simplify]: Extracting #6: cost 26 inf + 308 2.642 * * [simplify]: Extracting #7: cost 15 inf + 1931 2.643 * * [simplify]: Extracting #8: cost 2 inf + 5991 2.645 * * [simplify]: Extracting #9: cost 0 inf + 6397 2.647 * [simplify]: Simplified to (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) 2.647 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) 2.647 * * * * [progress]: [ 69 / 71 ] simplifiying candidate # 2.647 * [simplify]: Simplifying (* phi1 phi2) 2.647 * * [simplify]: iters left: 2 (3 enodes) 2.649 * * [simplify]: iters left: 1 (10 enodes) 2.651 * * [simplify]: Extracting #0: cost 1 inf + 0 2.651 * * [simplify]: Extracting #1: cost 4 inf + 0 2.651 * * [simplify]: Extracting #2: cost 2 inf + 2 2.651 * * [simplify]: Extracting #3: cost 0 inf + 86 2.651 * [simplify]: Simplified to (* phi1 phi2) 2.651 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* phi1 phi2) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 2.652 * * * * [progress]: [ 70 / 71 ] simplifiying candidate # 2.652 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 2.652 * * [simplify]: iters left: 3 (5 enodes) 2.654 * * [simplify]: iters left: 2 (16 enodes) 2.658 * * [simplify]: Extracting #0: cost 1 inf + 0 2.658 * * [simplify]: Extracting #1: cost 4 inf + 0 2.658 * * [simplify]: Extracting #2: cost 8 inf + 0 2.659 * * [simplify]: Extracting #3: cost 4 inf + 124 2.659 * * [simplify]: Extracting #4: cost 0 inf + 570 2.659 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 2.659 * [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)) 2.659 * * * * [progress]: [ 71 / 71 ] simplifiying candidate # 2.660 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 2.660 * * [simplify]: iters left: 3 (5 enodes) 2.662 * * [simplify]: iters left: 2 (16 enodes) 2.666 * * [simplify]: Extracting #0: cost 1 inf + 0 2.666 * * [simplify]: Extracting #1: cost 4 inf + 0 2.666 * * [simplify]: Extracting #2: cost 8 inf + 0 2.666 * * [simplify]: Extracting #3: cost 4 inf + 124 2.666 * * [simplify]: Extracting #4: cost 0 inf + 570 2.666 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 2.666 * [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)) 2.667 * * * [progress]: adding candidates to table 4.070 * * [progress]: iteration 2 / 4 4.070 * * * [progress]: picking best candidate 4.214 * * * * [pick]: Picked # 4.214 * * * [progress]: localizing error 4.336 * * * [progress]: generating rewritten candidates 4.336 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 4.341 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 4.352 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 4.375 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2) 4.394 * * * [progress]: generating series expansions 4.394 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 4.394 * [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))))) 4.394 * [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 4.394 * [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 4.395 * [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))))) 4.395 * [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 4.395 * [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))))) 4.395 * [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 4.395 * [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))))) 4.395 * [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 4.396 * [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))))) 4.396 * [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 4.396 * [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))))) 4.396 * [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 4.396 * [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))))) 4.396 * [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 4.397 * [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))))) 4.397 * [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 4.397 * [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))))) 4.397 * [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))))) 4.397 * [taylor]: Taking taylor expansion of 0 in phi2 4.397 * [backup-simplify]: Simplify 0 into 0 4.397 * [taylor]: Taking taylor expansion of 0 in lambda1 4.397 * [backup-simplify]: Simplify 0 into 0 4.397 * [taylor]: Taking taylor expansion of 0 in lambda2 4.397 * [backup-simplify]: Simplify 0 into 0 4.397 * [backup-simplify]: Simplify 0 into 0 4.397 * [taylor]: Taking taylor expansion of 0 in lambda1 4.398 * [backup-simplify]: Simplify 0 into 0 4.398 * [taylor]: Taking taylor expansion of 0 in lambda2 4.398 * [backup-simplify]: Simplify 0 into 0 4.398 * [backup-simplify]: Simplify 0 into 0 4.398 * [taylor]: Taking taylor expansion of 0 in lambda2 4.398 * [backup-simplify]: Simplify 0 into 0 4.398 * [backup-simplify]: Simplify 0 into 0 4.398 * [backup-simplify]: Simplify 0 into 0 4.398 * [taylor]: Taking taylor expansion of 0 in phi2 4.398 * [backup-simplify]: Simplify 0 into 0 4.398 * [taylor]: Taking taylor expansion of 0 in lambda1 4.398 * [backup-simplify]: Simplify 0 into 0 4.398 * [taylor]: Taking taylor expansion of 0 in lambda2 4.398 * [backup-simplify]: Simplify 0 into 0 4.398 * [backup-simplify]: Simplify 0 into 0 4.398 * [taylor]: Taking taylor expansion of 0 in lambda1 4.398 * [backup-simplify]: Simplify 0 into 0 4.398 * [taylor]: Taking taylor expansion of 0 in lambda2 4.398 * [backup-simplify]: Simplify 0 into 0 4.398 * [backup-simplify]: Simplify 0 into 0 4.398 * [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))))) 4.399 * [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)))))))) 4.399 * [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 4.399 * [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 4.400 * [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)))))))) 4.400 * [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 4.400 * [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)))))))) 4.400 * [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 4.400 * [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)))))))) 4.400 * [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 4.401 * [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)))))))) 4.401 * [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 4.401 * [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)))))))) 4.401 * [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 4.402 * [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)))))))) 4.402 * [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 4.402 * [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)))))))) 4.402 * [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 4.403 * [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)))))))) 4.403 * [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)))))))) 4.403 * [taylor]: Taking taylor expansion of 0 in phi2 4.403 * [backup-simplify]: Simplify 0 into 0 4.403 * [taylor]: Taking taylor expansion of 0 in lambda1 4.403 * [backup-simplify]: Simplify 0 into 0 4.403 * [taylor]: Taking taylor expansion of 0 in lambda2 4.403 * [backup-simplify]: Simplify 0 into 0 4.403 * [backup-simplify]: Simplify 0 into 0 4.403 * [taylor]: Taking taylor expansion of 0 in lambda1 4.403 * [backup-simplify]: Simplify 0 into 0 4.403 * [taylor]: Taking taylor expansion of 0 in lambda2 4.403 * [backup-simplify]: Simplify 0 into 0 4.403 * [backup-simplify]: Simplify 0 into 0 4.403 * [taylor]: Taking taylor expansion of 0 in lambda2 4.403 * [backup-simplify]: Simplify 0 into 0 4.403 * [backup-simplify]: Simplify 0 into 0 4.403 * [backup-simplify]: Simplify 0 into 0 4.403 * [taylor]: Taking taylor expansion of 0 in phi2 4.403 * [backup-simplify]: Simplify 0 into 0 4.403 * [taylor]: Taking taylor expansion of 0 in lambda1 4.403 * [backup-simplify]: Simplify 0 into 0 4.404 * [taylor]: Taking taylor expansion of 0 in lambda2 4.404 * [backup-simplify]: Simplify 0 into 0 4.404 * [backup-simplify]: Simplify 0 into 0 4.404 * [taylor]: Taking taylor expansion of 0 in lambda1 4.404 * [backup-simplify]: Simplify 0 into 0 4.404 * [taylor]: Taking taylor expansion of 0 in lambda2 4.404 * [backup-simplify]: Simplify 0 into 0 4.404 * [backup-simplify]: Simplify 0 into 0 4.404 * [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))))) 4.405 * [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)))))))) 4.405 * [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 4.405 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 4.405 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 4.405 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 4.405 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 4.406 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 4.406 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 4.406 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 4.406 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 4.406 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 4.407 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 4.407 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 4.407 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 4.407 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 4.408 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 4.408 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 4.408 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 4.409 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 4.409 * [taylor]: Taking taylor expansion of 0 in phi2 4.409 * [backup-simplify]: Simplify 0 into 0 4.409 * [taylor]: Taking taylor expansion of 0 in lambda1 4.409 * [backup-simplify]: Simplify 0 into 0 4.409 * [taylor]: Taking taylor expansion of 0 in lambda2 4.409 * [backup-simplify]: Simplify 0 into 0 4.409 * [backup-simplify]: Simplify 0 into 0 4.409 * [taylor]: Taking taylor expansion of 0 in lambda1 4.409 * [backup-simplify]: Simplify 0 into 0 4.409 * [taylor]: Taking taylor expansion of 0 in lambda2 4.409 * [backup-simplify]: Simplify 0 into 0 4.409 * [backup-simplify]: Simplify 0 into 0 4.409 * [taylor]: Taking taylor expansion of 0 in lambda2 4.409 * [backup-simplify]: Simplify 0 into 0 4.409 * [backup-simplify]: Simplify 0 into 0 4.409 * [backup-simplify]: Simplify 0 into 0 4.409 * [taylor]: Taking taylor expansion of 0 in phi2 4.409 * [backup-simplify]: Simplify 0 into 0 4.409 * [taylor]: Taking taylor expansion of 0 in lambda1 4.409 * [backup-simplify]: Simplify 0 into 0 4.409 * [taylor]: Taking taylor expansion of 0 in lambda2 4.409 * [backup-simplify]: Simplify 0 into 0 4.409 * [backup-simplify]: Simplify 0 into 0 4.409 * [taylor]: Taking taylor expansion of 0 in lambda1 4.409 * [backup-simplify]: Simplify 0 into 0 4.409 * [taylor]: Taking taylor expansion of 0 in lambda2 4.409 * [backup-simplify]: Simplify 0 into 0 4.409 * [backup-simplify]: Simplify 0 into 0 4.410 * [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))))) 4.410 * * * * [progress]: [ 2 / 4 ] generating series at (2) 4.410 * [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)))))) 4.410 * [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 4.410 * [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 4.410 * [taylor]: Taking taylor expansion of R in R 4.410 * [backup-simplify]: Simplify 0 into 0 4.410 * [backup-simplify]: Simplify 1 into 1 4.410 * [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 4.411 * [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))))) 4.411 * [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 4.411 * [taylor]: Taking taylor expansion of R in lambda2 4.411 * [backup-simplify]: Simplify R into R 4.411 * [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 4.411 * [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))))) 4.411 * [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 4.411 * [taylor]: Taking taylor expansion of R in lambda1 4.411 * [backup-simplify]: Simplify R into R 4.411 * [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 4.411 * [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))))) 4.411 * [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 4.411 * [taylor]: Taking taylor expansion of R in phi2 4.411 * [backup-simplify]: Simplify R into R 4.411 * [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 4.412 * [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))))) 4.412 * [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 4.412 * [taylor]: Taking taylor expansion of R in phi1 4.412 * [backup-simplify]: Simplify R into R 4.412 * [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 4.412 * [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))))) 4.412 * [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 4.412 * [taylor]: Taking taylor expansion of R in phi1 4.412 * [backup-simplify]: Simplify R into R 4.412 * [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 4.412 * [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))))) 4.413 * [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)))))) 4.413 * [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 4.413 * [taylor]: Taking taylor expansion of R in phi2 4.413 * [backup-simplify]: Simplify R into R 4.413 * [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 4.413 * [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))))) 4.413 * [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)))))) 4.414 * [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 4.414 * [taylor]: Taking taylor expansion of R in lambda1 4.414 * [backup-simplify]: Simplify R into R 4.414 * [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 4.414 * [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))))) 4.414 * [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)))))) 4.414 * [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 4.414 * [taylor]: Taking taylor expansion of R in lambda2 4.414 * [backup-simplify]: Simplify R into R 4.414 * [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 4.415 * [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))))) 4.415 * [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)))))) 4.415 * [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 4.415 * [taylor]: Taking taylor expansion of R in R 4.415 * [backup-simplify]: Simplify 0 into 0 4.415 * [backup-simplify]: Simplify 1 into 1 4.415 * [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 4.415 * [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))))) 4.416 * [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 4.416 * [backup-simplify]: Simplify 0 into 0 4.416 * [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 4.416 * [taylor]: Taking taylor expansion of 0 in phi2 4.416 * [backup-simplify]: Simplify 0 into 0 4.416 * [taylor]: Taking taylor expansion of 0 in lambda1 4.416 * [backup-simplify]: Simplify 0 into 0 4.416 * [taylor]: Taking taylor expansion of 0 in lambda2 4.416 * [backup-simplify]: Simplify 0 into 0 4.416 * [taylor]: Taking taylor expansion of 0 in R 4.416 * [backup-simplify]: Simplify 0 into 0 4.416 * [backup-simplify]: Simplify 0 into 0 4.416 * [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 4.416 * [taylor]: Taking taylor expansion of 0 in lambda1 4.416 * [backup-simplify]: Simplify 0 into 0 4.416 * [taylor]: Taking taylor expansion of 0 in lambda2 4.416 * [backup-simplify]: Simplify 0 into 0 4.417 * [taylor]: Taking taylor expansion of 0 in R 4.417 * [backup-simplify]: Simplify 0 into 0 4.417 * [backup-simplify]: Simplify 0 into 0 4.417 * [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 4.417 * [taylor]: Taking taylor expansion of 0 in lambda2 4.417 * [backup-simplify]: Simplify 0 into 0 4.417 * [taylor]: Taking taylor expansion of 0 in R 4.417 * [backup-simplify]: Simplify 0 into 0 4.417 * [backup-simplify]: Simplify 0 into 0 4.418 * [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 4.418 * [taylor]: Taking taylor expansion of 0 in R 4.418 * [backup-simplify]: Simplify 0 into 0 4.418 * [backup-simplify]: Simplify 0 into 0 4.423 * [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))))) 4.423 * [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))))) 4.425 * [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 4.425 * [taylor]: Taking taylor expansion of 0 in phi2 4.425 * [backup-simplify]: Simplify 0 into 0 4.425 * [taylor]: Taking taylor expansion of 0 in lambda1 4.425 * [backup-simplify]: Simplify 0 into 0 4.425 * [taylor]: Taking taylor expansion of 0 in lambda2 4.425 * [backup-simplify]: Simplify 0 into 0 4.425 * [taylor]: Taking taylor expansion of 0 in R 4.425 * [backup-simplify]: Simplify 0 into 0 4.425 * [backup-simplify]: Simplify 0 into 0 4.425 * [taylor]: Taking taylor expansion of 0 in lambda1 4.425 * [backup-simplify]: Simplify 0 into 0 4.425 * [taylor]: Taking taylor expansion of 0 in lambda2 4.425 * [backup-simplify]: Simplify 0 into 0 4.425 * [taylor]: Taking taylor expansion of 0 in R 4.425 * [backup-simplify]: Simplify 0 into 0 4.425 * [backup-simplify]: Simplify 0 into 0 4.426 * [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 4.426 * [taylor]: Taking taylor expansion of 0 in lambda1 4.427 * [backup-simplify]: Simplify 0 into 0 4.427 * [taylor]: Taking taylor expansion of 0 in lambda2 4.427 * [backup-simplify]: Simplify 0 into 0 4.427 * [taylor]: Taking taylor expansion of 0 in R 4.427 * [backup-simplify]: Simplify 0 into 0 4.427 * [backup-simplify]: Simplify 0 into 0 4.427 * [taylor]: Taking taylor expansion of 0 in lambda2 4.427 * [backup-simplify]: Simplify 0 into 0 4.427 * [taylor]: Taking taylor expansion of 0 in R 4.427 * [backup-simplify]: Simplify 0 into 0 4.427 * [backup-simplify]: Simplify 0 into 0 4.427 * [taylor]: Taking taylor expansion of 0 in lambda2 4.427 * [backup-simplify]: Simplify 0 into 0 4.427 * [taylor]: Taking taylor expansion of 0 in R 4.427 * [backup-simplify]: Simplify 0 into 0 4.427 * [backup-simplify]: Simplify 0 into 0 4.428 * [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 4.428 * [taylor]: Taking taylor expansion of 0 in lambda2 4.428 * [backup-simplify]: Simplify 0 into 0 4.428 * [taylor]: Taking taylor expansion of 0 in R 4.428 * [backup-simplify]: Simplify 0 into 0 4.428 * [backup-simplify]: Simplify 0 into 0 4.430 * [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)))))) 4.430 * [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) 4.430 * [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 4.430 * [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 4.431 * [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 4.431 * [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)))))))) 4.431 * [taylor]: Taking taylor expansion of R in R 4.431 * [backup-simplify]: Simplify 0 into 0 4.431 * [backup-simplify]: Simplify 1 into 1 4.432 * [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)))))))) 4.432 * [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 4.432 * [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 4.433 * [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)))))))) 4.433 * [taylor]: Taking taylor expansion of R in lambda2 4.433 * [backup-simplify]: Simplify R into R 4.434 * [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) 4.434 * [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 4.434 * [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 4.435 * [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)))))))) 4.435 * [taylor]: Taking taylor expansion of R in lambda1 4.435 * [backup-simplify]: Simplify R into R 4.436 * [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) 4.436 * [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 4.436 * [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 4.437 * [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)))))))) 4.437 * [taylor]: Taking taylor expansion of R in phi2 4.437 * [backup-simplify]: Simplify R into R 4.438 * [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) 4.438 * [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 4.438 * [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 4.438 * [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)))))))) 4.438 * [taylor]: Taking taylor expansion of R in phi1 4.439 * [backup-simplify]: Simplify R into R 4.439 * [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) 4.439 * [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 4.439 * [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 4.440 * [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)))))))) 4.440 * [taylor]: Taking taylor expansion of R in phi1 4.440 * [backup-simplify]: Simplify R into R 4.441 * [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) 4.441 * [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 4.441 * [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 4.442 * [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)))))))) 4.442 * [taylor]: Taking taylor expansion of R in phi2 4.442 * [backup-simplify]: Simplify R into R 4.443 * [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) 4.443 * [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 4.443 * [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 4.444 * [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)))))))) 4.444 * [taylor]: Taking taylor expansion of R in lambda1 4.444 * [backup-simplify]: Simplify R into R 4.445 * [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) 4.445 * [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 4.445 * [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 4.446 * [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)))))))) 4.446 * [taylor]: Taking taylor expansion of R in lambda2 4.446 * [backup-simplify]: Simplify R into R 4.446 * [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) 4.447 * [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 4.447 * [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 4.447 * [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)))))))) 4.447 * [taylor]: Taking taylor expansion of R in R 4.447 * [backup-simplify]: Simplify 0 into 0 4.447 * [backup-simplify]: Simplify 1 into 1 4.448 * [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)))))))) 4.449 * [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)))))))) 4.450 * [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 4.450 * [taylor]: Taking taylor expansion of 0 in phi2 4.450 * [backup-simplify]: Simplify 0 into 0 4.450 * [taylor]: Taking taylor expansion of 0 in lambda1 4.450 * [backup-simplify]: Simplify 0 into 0 4.450 * [taylor]: Taking taylor expansion of 0 in lambda2 4.450 * [backup-simplify]: Simplify 0 into 0 4.450 * [taylor]: Taking taylor expansion of 0 in R 4.450 * [backup-simplify]: Simplify 0 into 0 4.450 * [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 4.450 * [taylor]: Taking taylor expansion of 0 in lambda1 4.450 * [backup-simplify]: Simplify 0 into 0 4.450 * [taylor]: Taking taylor expansion of 0 in lambda2 4.450 * [backup-simplify]: Simplify 0 into 0 4.450 * [taylor]: Taking taylor expansion of 0 in R 4.450 * [backup-simplify]: Simplify 0 into 0 4.451 * [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 4.451 * [taylor]: Taking taylor expansion of 0 in lambda2 4.451 * [backup-simplify]: Simplify 0 into 0 4.451 * [taylor]: Taking taylor expansion of 0 in R 4.451 * [backup-simplify]: Simplify 0 into 0 4.451 * [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 4.451 * [taylor]: Taking taylor expansion of 0 in R 4.452 * [backup-simplify]: Simplify 0 into 0 4.453 * [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 4.453 * [backup-simplify]: Simplify 0 into 0 4.453 * [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 4.453 * [taylor]: Taking taylor expansion of 0 in phi2 4.453 * [backup-simplify]: Simplify 0 into 0 4.453 * [taylor]: Taking taylor expansion of 0 in lambda1 4.453 * [backup-simplify]: Simplify 0 into 0 4.453 * [taylor]: Taking taylor expansion of 0 in lambda2 4.454 * [backup-simplify]: Simplify 0 into 0 4.454 * [taylor]: Taking taylor expansion of 0 in R 4.454 * [backup-simplify]: Simplify 0 into 0 4.454 * [taylor]: Taking taylor expansion of 0 in lambda1 4.454 * [backup-simplify]: Simplify 0 into 0 4.454 * [taylor]: Taking taylor expansion of 0 in lambda2 4.454 * [backup-simplify]: Simplify 0 into 0 4.454 * [taylor]: Taking taylor expansion of 0 in R 4.454 * [backup-simplify]: Simplify 0 into 0 4.454 * [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 4.454 * [taylor]: Taking taylor expansion of 0 in lambda1 4.454 * [backup-simplify]: Simplify 0 into 0 4.454 * [taylor]: Taking taylor expansion of 0 in lambda2 4.454 * [backup-simplify]: Simplify 0 into 0 4.454 * [taylor]: Taking taylor expansion of 0 in R 4.454 * [backup-simplify]: Simplify 0 into 0 4.454 * [taylor]: Taking taylor expansion of 0 in lambda2 4.454 * [backup-simplify]: Simplify 0 into 0 4.454 * [taylor]: Taking taylor expansion of 0 in R 4.454 * [backup-simplify]: Simplify 0 into 0 4.454 * [taylor]: Taking taylor expansion of 0 in lambda2 4.454 * [backup-simplify]: Simplify 0 into 0 4.454 * [taylor]: Taking taylor expansion of 0 in R 4.454 * [backup-simplify]: Simplify 0 into 0 4.455 * [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 4.455 * [taylor]: Taking taylor expansion of 0 in lambda2 4.455 * [backup-simplify]: Simplify 0 into 0 4.455 * [taylor]: Taking taylor expansion of 0 in R 4.455 * [backup-simplify]: Simplify 0 into 0 4.455 * [taylor]: Taking taylor expansion of 0 in R 4.455 * [backup-simplify]: Simplify 0 into 0 4.455 * [taylor]: Taking taylor expansion of 0 in R 4.455 * [backup-simplify]: Simplify 0 into 0 4.455 * [taylor]: Taking taylor expansion of 0 in R 4.455 * [backup-simplify]: Simplify 0 into 0 4.456 * [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 4.456 * [taylor]: Taking taylor expansion of 0 in R 4.456 * [backup-simplify]: Simplify 0 into 0 4.456 * [backup-simplify]: Simplify 0 into 0 4.456 * [backup-simplify]: Simplify 0 into 0 4.456 * [backup-simplify]: Simplify 0 into 0 4.456 * [backup-simplify]: Simplify 0 into 0 4.457 * [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 4.457 * [backup-simplify]: Simplify 0 into 0 4.458 * [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) 4.459 * [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)) 4.459 * [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 4.459 * [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 4.459 * [taylor]: Taking taylor expansion of -1 in R 4.459 * [backup-simplify]: Simplify -1 into -1 4.459 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 4.459 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 4.460 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 4.460 * [taylor]: Taking taylor expansion of R in R 4.460 * [backup-simplify]: Simplify 0 into 0 4.460 * [backup-simplify]: Simplify 1 into 1 4.460 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 4.460 * [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 4.460 * [taylor]: Taking taylor expansion of -1 in lambda2 4.460 * [backup-simplify]: Simplify -1 into -1 4.460 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 4.460 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 4.461 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 4.461 * [taylor]: Taking taylor expansion of R in lambda2 4.461 * [backup-simplify]: Simplify R into R 4.461 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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) 4.462 * [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 4.462 * [taylor]: Taking taylor expansion of -1 in lambda1 4.462 * [backup-simplify]: Simplify -1 into -1 4.462 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 4.462 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 4.462 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 4.462 * [taylor]: Taking taylor expansion of R in lambda1 4.462 * [backup-simplify]: Simplify R into R 4.463 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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) 4.463 * [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 4.463 * [taylor]: Taking taylor expansion of -1 in phi2 4.463 * [backup-simplify]: Simplify -1 into -1 4.463 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 4.463 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 4.463 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 4.463 * [taylor]: Taking taylor expansion of R in phi2 4.463 * [backup-simplify]: Simplify R into R 4.464 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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) 4.464 * [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 4.464 * [taylor]: Taking taylor expansion of -1 in phi1 4.464 * [backup-simplify]: Simplify -1 into -1 4.464 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 4.464 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 4.464 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 4.464 * [taylor]: Taking taylor expansion of R in phi1 4.464 * [backup-simplify]: Simplify R into R 4.465 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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) 4.465 * [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 4.465 * [taylor]: Taking taylor expansion of -1 in phi1 4.465 * [backup-simplify]: Simplify -1 into -1 4.465 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 4.465 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 4.465 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 4.465 * [taylor]: Taking taylor expansion of R in phi1 4.465 * [backup-simplify]: Simplify R into R 4.466 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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) 4.466 * [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)) 4.466 * [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 4.466 * [taylor]: Taking taylor expansion of -1 in phi2 4.466 * [backup-simplify]: Simplify -1 into -1 4.466 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 4.466 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 4.467 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 4.467 * [taylor]: Taking taylor expansion of R in phi2 4.467 * [backup-simplify]: Simplify R into R 4.467 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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) 4.468 * [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)) 4.468 * [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 4.468 * [taylor]: Taking taylor expansion of -1 in lambda1 4.468 * [backup-simplify]: Simplify -1 into -1 4.468 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 4.468 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 4.468 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 4.468 * [taylor]: Taking taylor expansion of R in lambda1 4.468 * [backup-simplify]: Simplify R into R 4.469 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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) 4.469 * [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)) 4.469 * [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 4.469 * [taylor]: Taking taylor expansion of -1 in lambda2 4.469 * [backup-simplify]: Simplify -1 into -1 4.469 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 4.469 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 4.470 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 4.470 * [taylor]: Taking taylor expansion of R in lambda2 4.470 * [backup-simplify]: Simplify R into R 4.470 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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) 4.471 * [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)) 4.471 * [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 4.471 * [taylor]: Taking taylor expansion of -1 in R 4.471 * [backup-simplify]: Simplify -1 into -1 4.471 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 4.471 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 4.471 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 4.471 * [taylor]: Taking taylor expansion of R in R 4.471 * [backup-simplify]: Simplify 0 into 0 4.471 * [backup-simplify]: Simplify 1 into 1 4.472 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 4.472 * [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))))))))) 4.473 * [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))))))))) 4.473 * [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 4.474 * [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 4.474 * [taylor]: Taking taylor expansion of 0 in phi2 4.474 * [backup-simplify]: Simplify 0 into 0 4.474 * [taylor]: Taking taylor expansion of 0 in lambda1 4.474 * [backup-simplify]: Simplify 0 into 0 4.475 * [taylor]: Taking taylor expansion of 0 in lambda2 4.475 * [backup-simplify]: Simplify 0 into 0 4.475 * [taylor]: Taking taylor expansion of 0 in R 4.475 * [backup-simplify]: Simplify 0 into 0 4.475 * [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 4.476 * [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 4.476 * [taylor]: Taking taylor expansion of 0 in lambda1 4.476 * [backup-simplify]: Simplify 0 into 0 4.476 * [taylor]: Taking taylor expansion of 0 in lambda2 4.476 * [backup-simplify]: Simplify 0 into 0 4.476 * [taylor]: Taking taylor expansion of 0 in R 4.476 * [backup-simplify]: Simplify 0 into 0 4.477 * [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 4.478 * [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 4.478 * [taylor]: Taking taylor expansion of 0 in lambda2 4.478 * [backup-simplify]: Simplify 0 into 0 4.478 * [taylor]: Taking taylor expansion of 0 in R 4.478 * [backup-simplify]: Simplify 0 into 0 4.479 * [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 4.481 * [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 4.481 * [taylor]: Taking taylor expansion of 0 in R 4.481 * [backup-simplify]: Simplify 0 into 0 4.483 * [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 4.484 * [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 4.484 * [backup-simplify]: Simplify 0 into 0 4.485 * [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 4.487 * [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 4.487 * [taylor]: Taking taylor expansion of 0 in phi2 4.487 * [backup-simplify]: Simplify 0 into 0 4.487 * [taylor]: Taking taylor expansion of 0 in lambda1 4.487 * [backup-simplify]: Simplify 0 into 0 4.487 * [taylor]: Taking taylor expansion of 0 in lambda2 4.487 * [backup-simplify]: Simplify 0 into 0 4.487 * [taylor]: Taking taylor expansion of 0 in R 4.487 * [backup-simplify]: Simplify 0 into 0 4.487 * [taylor]: Taking taylor expansion of 0 in lambda1 4.487 * [backup-simplify]: Simplify 0 into 0 4.487 * [taylor]: Taking taylor expansion of 0 in lambda2 4.487 * [backup-simplify]: Simplify 0 into 0 4.487 * [taylor]: Taking taylor expansion of 0 in R 4.487 * [backup-simplify]: Simplify 0 into 0 4.488 * [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 4.490 * [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 4.490 * [taylor]: Taking taylor expansion of 0 in lambda1 4.490 * [backup-simplify]: Simplify 0 into 0 4.490 * [taylor]: Taking taylor expansion of 0 in lambda2 4.490 * [backup-simplify]: Simplify 0 into 0 4.490 * [taylor]: Taking taylor expansion of 0 in R 4.490 * [backup-simplify]: Simplify 0 into 0 4.490 * [taylor]: Taking taylor expansion of 0 in lambda2 4.490 * [backup-simplify]: Simplify 0 into 0 4.490 * [taylor]: Taking taylor expansion of 0 in R 4.490 * [backup-simplify]: Simplify 0 into 0 4.490 * [taylor]: Taking taylor expansion of 0 in lambda2 4.491 * [backup-simplify]: Simplify 0 into 0 4.491 * [taylor]: Taking taylor expansion of 0 in R 4.491 * [backup-simplify]: Simplify 0 into 0 4.492 * [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 4.493 * [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 4.493 * [taylor]: Taking taylor expansion of 0 in lambda2 4.493 * [backup-simplify]: Simplify 0 into 0 4.494 * [taylor]: Taking taylor expansion of 0 in R 4.494 * [backup-simplify]: Simplify 0 into 0 4.494 * [taylor]: Taking taylor expansion of 0 in R 4.494 * [backup-simplify]: Simplify 0 into 0 4.494 * [taylor]: Taking taylor expansion of 0 in R 4.494 * [backup-simplify]: Simplify 0 into 0 4.494 * [taylor]: Taking taylor expansion of 0 in R 4.494 * [backup-simplify]: Simplify 0 into 0 4.495 * [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 4.497 * [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 4.497 * [taylor]: Taking taylor expansion of 0 in R 4.497 * [backup-simplify]: Simplify 0 into 0 4.497 * [backup-simplify]: Simplify 0 into 0 4.497 * [backup-simplify]: Simplify 0 into 0 4.497 * [backup-simplify]: Simplify 0 into 0 4.497 * [backup-simplify]: Simplify 0 into 0 4.498 * [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 4.499 * [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 4.499 * [backup-simplify]: Simplify 0 into 0 4.500 * [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)))))) 4.500 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 4.500 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2)) 4.500 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 4.500 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 4.500 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 4.500 * [taylor]: Taking taylor expansion of phi1 in phi2 4.500 * [backup-simplify]: Simplify phi1 into phi1 4.500 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 4.500 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 4.500 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 4.500 * [taylor]: Taking taylor expansion of phi2 in phi2 4.500 * [backup-simplify]: Simplify 0 into 0 4.500 * [backup-simplify]: Simplify 1 into 1 4.500 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 4.500 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 4.500 * [taylor]: Taking taylor expansion of phi1 in phi1 4.500 * [backup-simplify]: Simplify 0 into 0 4.500 * [backup-simplify]: Simplify 1 into 1 4.501 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 4.501 * [taylor]: Taking taylor expansion of phi2 in phi1 4.501 * [backup-simplify]: Simplify phi2 into phi2 4.501 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 4.501 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 4.501 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 4.501 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 4.501 * [taylor]: Taking taylor expansion of phi1 in phi1 4.501 * [backup-simplify]: Simplify 0 into 0 4.501 * [backup-simplify]: Simplify 1 into 1 4.501 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 4.501 * [taylor]: Taking taylor expansion of phi2 in phi1 4.501 * [backup-simplify]: Simplify phi2 into phi2 4.501 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 4.501 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 4.501 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 4.501 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 4.501 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 4.501 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 4.501 * [taylor]: Taking taylor expansion of 0 in phi2 4.501 * [backup-simplify]: Simplify 0 into 0 4.501 * [backup-simplify]: Simplify 0 into 0 4.501 * [backup-simplify]: Simplify (+ 0) into 0 4.502 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 4.502 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.502 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 4.503 * [backup-simplify]: Simplify (+ 0 0) into 0 4.503 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.503 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 4.503 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 4.503 * [taylor]: Taking taylor expansion of phi2 in phi2 4.503 * [backup-simplify]: Simplify 0 into 0 4.503 * [backup-simplify]: Simplify 1 into 1 4.503 * [backup-simplify]: Simplify 0 into 0 4.503 * [backup-simplify]: Simplify 0 into 0 4.504 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.504 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 4.505 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.505 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 4.505 * [backup-simplify]: Simplify (+ 0 0) into 0 4.506 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.506 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 4.506 * [taylor]: Taking taylor expansion of 0 in phi2 4.507 * [backup-simplify]: Simplify 0 into 0 4.507 * [backup-simplify]: Simplify 0 into 0 4.507 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.507 * [backup-simplify]: Simplify 1 into 1 4.507 * [backup-simplify]: Simplify 0 into 0 4.508 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.508 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.509 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.510 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.510 * [backup-simplify]: Simplify (+ 0 0) into 0 4.511 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 4.512 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 4.512 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 4.512 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 4.512 * [taylor]: Taking taylor expansion of 1/6 in phi2 4.512 * [backup-simplify]: Simplify 1/6 into 1/6 4.512 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 4.512 * [taylor]: Taking taylor expansion of phi2 in phi2 4.512 * [backup-simplify]: Simplify 0 into 0 4.512 * [backup-simplify]: Simplify 1 into 1 4.512 * [backup-simplify]: Simplify (* 1/6 0) into 0 4.513 * [backup-simplify]: Simplify (- 0) into 0 4.513 * [backup-simplify]: Simplify 0 into 0 4.513 * [backup-simplify]: Simplify 0 into 0 4.513 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.513 * [backup-simplify]: Simplify 0 into 0 4.513 * [backup-simplify]: Simplify 0 into 0 4.514 * [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 4.515 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.516 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.516 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 4.516 * [backup-simplify]: Simplify (+ 0 0) into 0 4.517 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.518 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 4.518 * [taylor]: Taking taylor expansion of 0 in phi2 4.518 * [backup-simplify]: Simplify 0 into 0 4.518 * [backup-simplify]: Simplify 0 into 0 4.518 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2) 4.518 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 4.518 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0 4.519 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 4.519 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 4.519 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 4.519 * [taylor]: Taking taylor expansion of phi2 in phi2 4.519 * [backup-simplify]: Simplify 0 into 0 4.519 * [backup-simplify]: Simplify 1 into 1 4.519 * [backup-simplify]: Simplify (/ 1 1) into 1 4.519 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 4.519 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 4.519 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 4.519 * [taylor]: Taking taylor expansion of phi1 in phi2 4.519 * [backup-simplify]: Simplify phi1 into phi1 4.519 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 4.519 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 4.519 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 4.519 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 4.519 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 4.519 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 4.519 * [taylor]: Taking taylor expansion of phi2 in phi1 4.519 * [backup-simplify]: Simplify phi2 into phi2 4.519 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 4.519 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 4.519 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 4.519 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 4.519 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 4.519 * [taylor]: Taking taylor expansion of phi1 in phi1 4.519 * [backup-simplify]: Simplify 0 into 0 4.519 * [backup-simplify]: Simplify 1 into 1 4.520 * [backup-simplify]: Simplify (/ 1 1) into 1 4.520 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 4.520 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 4.520 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 4.520 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 4.520 * [taylor]: Taking taylor expansion of phi2 in phi1 4.520 * [backup-simplify]: Simplify phi2 into phi2 4.520 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 4.520 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 4.520 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 4.520 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 4.520 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 4.520 * [taylor]: Taking taylor expansion of phi1 in phi1 4.520 * [backup-simplify]: Simplify 0 into 0 4.520 * [backup-simplify]: Simplify 1 into 1 4.520 * [backup-simplify]: Simplify (/ 1 1) into 1 4.520 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 4.520 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 4.520 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 4.521 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 4.521 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 4.521 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 4.521 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 4.521 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 4.521 * [taylor]: Taking taylor expansion of phi2 in phi2 4.521 * [backup-simplify]: Simplify 0 into 0 4.521 * [backup-simplify]: Simplify 1 into 1 4.522 * [backup-simplify]: Simplify (/ 1 1) into 1 4.522 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 4.522 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 4.522 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 4.522 * [taylor]: Taking taylor expansion of phi1 in phi2 4.522 * [backup-simplify]: Simplify phi1 into phi1 4.522 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 4.522 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 4.522 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 4.522 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 4.522 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 4.523 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 4.523 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 4.523 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 4.523 * [backup-simplify]: Simplify (+ 0) into 0 4.523 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 4.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 4.524 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.524 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 4.524 * [backup-simplify]: Simplify (+ 0 0) into 0 4.525 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 4.525 * [taylor]: Taking taylor expansion of 0 in phi2 4.525 * [backup-simplify]: Simplify 0 into 0 4.525 * [backup-simplify]: Simplify 0 into 0 4.525 * [backup-simplify]: Simplify (+ 0) into 0 4.525 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 4.525 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 4.526 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.526 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 4.526 * [backup-simplify]: Simplify (+ 0 0) into 0 4.526 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 4.526 * [backup-simplify]: Simplify 0 into 0 4.527 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.527 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 4.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 4.528 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.528 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 4.528 * [backup-simplify]: Simplify (+ 0 0) into 0 4.529 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 4.529 * [taylor]: Taking taylor expansion of 0 in phi2 4.529 * [backup-simplify]: Simplify 0 into 0 4.529 * [backup-simplify]: Simplify 0 into 0 4.529 * [backup-simplify]: Simplify 0 into 0 4.530 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.531 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 4.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 4.532 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.532 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 4.533 * [backup-simplify]: Simplify (+ 0 0) into 0 4.533 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 4.533 * [backup-simplify]: Simplify 0 into 0 4.534 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.535 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.535 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 4.537 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.537 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.538 * [backup-simplify]: Simplify (+ 0 0) into 0 4.539 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0 4.539 * [taylor]: Taking taylor expansion of 0 in phi2 4.539 * [backup-simplify]: Simplify 0 into 0 4.539 * [backup-simplify]: Simplify 0 into 0 4.539 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2)) 4.539 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 4.539 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 4.539 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 4.539 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 4.539 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 4.539 * [taylor]: Taking taylor expansion of -1 in phi2 4.539 * [backup-simplify]: Simplify -1 into -1 4.539 * [taylor]: Taking taylor expansion of phi1 in phi2 4.539 * [backup-simplify]: Simplify phi1 into phi1 4.539 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 4.539 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 4.539 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 4.539 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 4.540 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 4.540 * [taylor]: Taking taylor expansion of -1 in phi2 4.540 * [backup-simplify]: Simplify -1 into -1 4.540 * [taylor]: Taking taylor expansion of phi2 in phi2 4.540 * [backup-simplify]: Simplify 0 into 0 4.540 * [backup-simplify]: Simplify 1 into 1 4.540 * [backup-simplify]: Simplify (/ -1 1) into -1 4.540 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 4.540 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 4.540 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 4.540 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 4.540 * [taylor]: Taking taylor expansion of -1 in phi1 4.540 * [backup-simplify]: Simplify -1 into -1 4.540 * [taylor]: Taking taylor expansion of phi1 in phi1 4.540 * [backup-simplify]: Simplify 0 into 0 4.540 * [backup-simplify]: Simplify 1 into 1 4.541 * [backup-simplify]: Simplify (/ -1 1) into -1 4.541 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 4.541 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 4.541 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 4.541 * [taylor]: Taking taylor expansion of -1 in phi1 4.541 * [backup-simplify]: Simplify -1 into -1 4.541 * [taylor]: Taking taylor expansion of phi2 in phi1 4.541 * [backup-simplify]: Simplify phi2 into phi2 4.541 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 4.541 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 4.541 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 4.541 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 4.541 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 4.541 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 4.541 * [taylor]: Taking taylor expansion of -1 in phi1 4.541 * [backup-simplify]: Simplify -1 into -1 4.541 * [taylor]: Taking taylor expansion of phi1 in phi1 4.541 * [backup-simplify]: Simplify 0 into 0 4.541 * [backup-simplify]: Simplify 1 into 1 4.541 * [backup-simplify]: Simplify (/ -1 1) into -1 4.542 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 4.542 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 4.542 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 4.542 * [taylor]: Taking taylor expansion of -1 in phi1 4.542 * [backup-simplify]: Simplify -1 into -1 4.542 * [taylor]: Taking taylor expansion of phi2 in phi1 4.542 * [backup-simplify]: Simplify phi2 into phi2 4.542 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 4.542 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 4.542 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 4.542 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 4.542 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 4.542 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 4.542 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 4.542 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 4.542 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 4.542 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 4.542 * [taylor]: Taking taylor expansion of -1 in phi2 4.542 * [backup-simplify]: Simplify -1 into -1 4.542 * [taylor]: Taking taylor expansion of phi1 in phi2 4.542 * [backup-simplify]: Simplify phi1 into phi1 4.542 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 4.542 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 4.542 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 4.542 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 4.542 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 4.542 * [taylor]: Taking taylor expansion of -1 in phi2 4.542 * [backup-simplify]: Simplify -1 into -1 4.542 * [taylor]: Taking taylor expansion of phi2 in phi2 4.542 * [backup-simplify]: Simplify 0 into 0 4.542 * [backup-simplify]: Simplify 1 into 1 4.543 * [backup-simplify]: Simplify (/ -1 1) into -1 4.543 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 4.543 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 4.543 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 4.543 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 4.543 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 4.543 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 4.543 * [backup-simplify]: Simplify (+ 0) into 0 4.544 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 4.544 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 4.544 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.544 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 4.545 * [backup-simplify]: Simplify (+ 0 0) into 0 4.545 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 4.545 * [taylor]: Taking taylor expansion of 0 in phi2 4.545 * [backup-simplify]: Simplify 0 into 0 4.545 * [backup-simplify]: Simplify 0 into 0 4.545 * [backup-simplify]: Simplify (+ 0) into 0 4.545 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 4.546 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 4.546 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.546 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 4.547 * [backup-simplify]: Simplify (+ 0 0) into 0 4.547 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 4.547 * [backup-simplify]: Simplify 0 into 0 4.547 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.548 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 4.548 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 4.548 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.549 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 4.549 * [backup-simplify]: Simplify (+ 0 0) into 0 4.549 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 4.549 * [taylor]: Taking taylor expansion of 0 in phi2 4.549 * [backup-simplify]: Simplify 0 into 0 4.549 * [backup-simplify]: Simplify 0 into 0 4.549 * [backup-simplify]: Simplify 0 into 0 4.550 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.550 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 4.550 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 4.551 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.551 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 4.551 * [backup-simplify]: Simplify (+ 0 0) into 0 4.552 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 4.552 * [backup-simplify]: Simplify 0 into 0 4.552 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.553 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.553 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 4.554 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.554 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.555 * [backup-simplify]: Simplify (+ 0 0) into 0 4.555 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 4.555 * [taylor]: Taking taylor expansion of 0 in phi2 4.555 * [backup-simplify]: Simplify 0 into 0 4.555 * [backup-simplify]: Simplify 0 into 0 4.555 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 4.555 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2) 4.555 * [backup-simplify]: Simplify (* (sin lambda1) (sin lambda2)) into (* (sin lambda1) (sin lambda2)) 4.555 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 4.555 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 4.555 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 4.556 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.556 * [backup-simplify]: Simplify lambda1 into lambda1 4.556 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 4.556 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 4.556 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 4.556 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.556 * [backup-simplify]: Simplify 0 into 0 4.556 * [backup-simplify]: Simplify 1 into 1 4.556 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 4.556 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 4.556 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.556 * [backup-simplify]: Simplify 0 into 0 4.556 * [backup-simplify]: Simplify 1 into 1 4.556 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 4.556 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.556 * [backup-simplify]: Simplify lambda2 into lambda2 4.556 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 4.556 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 4.556 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 4.556 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 4.556 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.556 * [backup-simplify]: Simplify 0 into 0 4.556 * [backup-simplify]: Simplify 1 into 1 4.556 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 4.556 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.556 * [backup-simplify]: Simplify lambda2 into lambda2 4.556 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 4.556 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 4.556 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 4.556 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 4.556 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 4.556 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0 4.556 * [taylor]: Taking taylor expansion of 0 in lambda2 4.556 * [backup-simplify]: Simplify 0 into 0 4.556 * [backup-simplify]: Simplify 0 into 0 4.557 * [backup-simplify]: Simplify (+ 0) into 0 4.557 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 4.557 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.558 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 4.558 * [backup-simplify]: Simplify (+ 0 0) into 0 4.558 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.558 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2) 4.559 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 4.559 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.559 * [backup-simplify]: Simplify 0 into 0 4.559 * [backup-simplify]: Simplify 1 into 1 4.559 * [backup-simplify]: Simplify 0 into 0 4.559 * [backup-simplify]: Simplify 0 into 0 4.559 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.560 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 4.560 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.561 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 4.561 * [backup-simplify]: Simplify (+ 0 0) into 0 4.561 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.562 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0 4.562 * [taylor]: Taking taylor expansion of 0 in lambda2 4.562 * [backup-simplify]: Simplify 0 into 0 4.562 * [backup-simplify]: Simplify 0 into 0 4.562 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.562 * [backup-simplify]: Simplify 1 into 1 4.562 * [backup-simplify]: Simplify 0 into 0 4.563 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.563 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.564 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.565 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.565 * [backup-simplify]: Simplify (+ 0 0) into 0 4.566 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 4.566 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda2))))) into (- (* 1/6 (sin lambda2))) 4.566 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 4.566 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 4.567 * [taylor]: Taking taylor expansion of 1/6 in lambda2 4.567 * [backup-simplify]: Simplify 1/6 into 1/6 4.567 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 4.567 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.567 * [backup-simplify]: Simplify 0 into 0 4.567 * [backup-simplify]: Simplify 1 into 1 4.567 * [backup-simplify]: Simplify (* 1/6 0) into 0 4.567 * [backup-simplify]: Simplify (- 0) into 0 4.567 * [backup-simplify]: Simplify 0 into 0 4.567 * [backup-simplify]: Simplify 0 into 0 4.568 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.568 * [backup-simplify]: Simplify 0 into 0 4.568 * [backup-simplify]: Simplify 0 into 0 4.569 * [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 4.570 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.572 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.573 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 4.573 * [backup-simplify]: Simplify (+ 0 0) into 0 4.575 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.576 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda2)))))) into 0 4.576 * [taylor]: Taking taylor expansion of 0 in lambda2 4.576 * [backup-simplify]: Simplify 0 into 0 4.577 * [backup-simplify]: Simplify 0 into 0 4.577 * [backup-simplify]: Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1) 4.577 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 4.577 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in (lambda1 lambda2) around 0 4.577 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 4.577 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 4.577 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 4.577 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.577 * [backup-simplify]: Simplify 0 into 0 4.577 * [backup-simplify]: Simplify 1 into 1 4.577 * [backup-simplify]: Simplify (/ 1 1) into 1 4.577 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 4.578 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 4.578 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 4.578 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.578 * [backup-simplify]: Simplify lambda1 into lambda1 4.578 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 4.578 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 4.578 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 4.578 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 4.578 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 4.578 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 4.578 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.578 * [backup-simplify]: Simplify lambda2 into lambda2 4.578 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 4.578 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 4.578 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 4.578 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 4.578 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 4.578 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.578 * [backup-simplify]: Simplify 0 into 0 4.578 * [backup-simplify]: Simplify 1 into 1 4.579 * [backup-simplify]: Simplify (/ 1 1) into 1 4.579 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 4.579 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 4.579 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 4.579 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 4.579 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.579 * [backup-simplify]: Simplify lambda2 into lambda2 4.579 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 4.579 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 4.579 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 4.579 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 4.579 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 4.579 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.579 * [backup-simplify]: Simplify 0 into 0 4.579 * [backup-simplify]: Simplify 1 into 1 4.580 * [backup-simplify]: Simplify (/ 1 1) into 1 4.580 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 4.580 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 4.580 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 4.580 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 4.580 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 4.580 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 4.580 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 4.580 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 4.580 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.580 * [backup-simplify]: Simplify 0 into 0 4.580 * [backup-simplify]: Simplify 1 into 1 4.581 * [backup-simplify]: Simplify (/ 1 1) into 1 4.581 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 4.581 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 4.581 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 4.581 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.581 * [backup-simplify]: Simplify lambda1 into lambda1 4.581 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 4.581 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 4.581 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 4.581 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 4.581 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 4.581 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 4.582 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 4.582 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 4.582 * [backup-simplify]: Simplify (+ 0) into 0 4.583 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 4.583 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 4.584 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.584 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 4.585 * [backup-simplify]: Simplify (+ 0 0) into 0 4.585 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 4.585 * [taylor]: Taking taylor expansion of 0 in lambda2 4.585 * [backup-simplify]: Simplify 0 into 0 4.585 * [backup-simplify]: Simplify 0 into 0 4.585 * [backup-simplify]: Simplify (+ 0) into 0 4.586 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 4.586 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 4.587 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.587 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 4.588 * [backup-simplify]: Simplify (+ 0 0) into 0 4.588 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 4.588 * [backup-simplify]: Simplify 0 into 0 4.589 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.590 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 4.590 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 4.591 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.591 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 4.591 * [backup-simplify]: Simplify (+ 0 0) into 0 4.592 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 4.592 * [taylor]: Taking taylor expansion of 0 in lambda2 4.592 * [backup-simplify]: Simplify 0 into 0 4.592 * [backup-simplify]: Simplify 0 into 0 4.592 * [backup-simplify]: Simplify 0 into 0 4.593 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.594 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 4.594 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 4.595 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.595 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 4.596 * [backup-simplify]: Simplify (+ 0 0) into 0 4.596 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 4.596 * [backup-simplify]: Simplify 0 into 0 4.597 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.598 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.598 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 4.600 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.600 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.601 * [backup-simplify]: Simplify (+ 0 0) into 0 4.602 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0 4.602 * [taylor]: Taking taylor expansion of 0 in lambda2 4.602 * [backup-simplify]: Simplify 0 into 0 4.602 * [backup-simplify]: Simplify 0 into 0 4.602 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))) into (* (sin lambda2) (sin lambda1)) 4.602 * [backup-simplify]: Simplify (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 4.602 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 4.602 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 4.602 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 4.602 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 4.602 * [taylor]: Taking taylor expansion of -1 in lambda2 4.602 * [backup-simplify]: Simplify -1 into -1 4.602 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.602 * [backup-simplify]: Simplify lambda1 into lambda1 4.602 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 4.602 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 4.602 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 4.602 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 4.602 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 4.603 * [taylor]: Taking taylor expansion of -1 in lambda2 4.603 * [backup-simplify]: Simplify -1 into -1 4.603 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.603 * [backup-simplify]: Simplify 0 into 0 4.603 * [backup-simplify]: Simplify 1 into 1 4.603 * [backup-simplify]: Simplify (/ -1 1) into -1 4.603 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 4.603 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 4.603 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 4.603 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 4.603 * [taylor]: Taking taylor expansion of -1 in lambda1 4.603 * [backup-simplify]: Simplify -1 into -1 4.603 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.603 * [backup-simplify]: Simplify 0 into 0 4.603 * [backup-simplify]: Simplify 1 into 1 4.604 * [backup-simplify]: Simplify (/ -1 1) into -1 4.604 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 4.604 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 4.604 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 4.604 * [taylor]: Taking taylor expansion of -1 in lambda1 4.604 * [backup-simplify]: Simplify -1 into -1 4.604 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.604 * [backup-simplify]: Simplify lambda2 into lambda2 4.604 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 4.604 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 4.604 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 4.604 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 4.604 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 4.604 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 4.604 * [taylor]: Taking taylor expansion of -1 in lambda1 4.604 * [backup-simplify]: Simplify -1 into -1 4.604 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.604 * [backup-simplify]: Simplify 0 into 0 4.604 * [backup-simplify]: Simplify 1 into 1 4.605 * [backup-simplify]: Simplify (/ -1 1) into -1 4.605 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 4.605 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 4.605 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 4.605 * [taylor]: Taking taylor expansion of -1 in lambda1 4.605 * [backup-simplify]: Simplify -1 into -1 4.605 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.605 * [backup-simplify]: Simplify lambda2 into lambda2 4.605 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 4.605 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 4.605 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 4.606 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 4.606 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 4.606 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 4.606 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 4.606 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 4.606 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 4.606 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 4.606 * [taylor]: Taking taylor expansion of -1 in lambda2 4.606 * [backup-simplify]: Simplify -1 into -1 4.606 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.606 * [backup-simplify]: Simplify lambda1 into lambda1 4.606 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 4.606 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 4.606 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 4.606 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 4.606 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 4.606 * [taylor]: Taking taylor expansion of -1 in lambda2 4.606 * [backup-simplify]: Simplify -1 into -1 4.606 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.606 * [backup-simplify]: Simplify 0 into 0 4.606 * [backup-simplify]: Simplify 1 into 1 4.607 * [backup-simplify]: Simplify (/ -1 1) into -1 4.607 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 4.607 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 4.607 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 4.607 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 4.607 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 4.608 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 4.608 * [backup-simplify]: Simplify (+ 0) into 0 4.608 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 4.609 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 4.609 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.609 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 4.610 * [backup-simplify]: Simplify (+ 0 0) into 0 4.610 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 4.610 * [taylor]: Taking taylor expansion of 0 in lambda2 4.610 * [backup-simplify]: Simplify 0 into 0 4.610 * [backup-simplify]: Simplify 0 into 0 4.610 * [backup-simplify]: Simplify (+ 0) into 0 4.611 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 4.611 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 4.611 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.611 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 4.612 * [backup-simplify]: Simplify (+ 0 0) into 0 4.612 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 4.612 * [backup-simplify]: Simplify 0 into 0 4.612 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.613 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 4.613 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 4.613 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.614 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 4.614 * [backup-simplify]: Simplify (+ 0 0) into 0 4.614 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 4.614 * [taylor]: Taking taylor expansion of 0 in lambda2 4.614 * [backup-simplify]: Simplify 0 into 0 4.614 * [backup-simplify]: Simplify 0 into 0 4.614 * [backup-simplify]: Simplify 0 into 0 4.615 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.615 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 4.615 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 4.616 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.616 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 4.616 * [backup-simplify]: Simplify (+ 0 0) into 0 4.617 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 4.617 * [backup-simplify]: Simplify 0 into 0 4.617 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.618 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.618 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 4.619 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.619 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.620 * [backup-simplify]: Simplify (+ 0 0) into 0 4.620 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 4.620 * [taylor]: Taking taylor expansion of 0 in lambda2 4.620 * [backup-simplify]: Simplify 0 into 0 4.620 * [backup-simplify]: Simplify 0 into 0 4.620 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2)) 4.621 * * * [progress]: simplifying candidates 4.621 * * * * [progress]: [ 1 / 80 ] simplifiying candidate # 4.621 * * * * [progress]: [ 2 / 80 ] simplifiying candidate # 4.621 * * * * [progress]: [ 3 / 80 ] simplifiying candidate # 4.621 * * * * [progress]: [ 4 / 80 ] simplifiying candidate # 4.621 * * * * [progress]: [ 5 / 80 ] simplifiying candidate # 4.621 * * * * [progress]: [ 6 / 80 ] simplifiying candidate # 4.621 * * * * [progress]: [ 7 / 80 ] simplifiying candidate # 4.621 * * * * [progress]: [ 8 / 80 ] simplifiying candidate # 4.621 * * * * [progress]: [ 9 / 80 ] simplifiying candidate #real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> 4.621 * * * * [progress]: [ 10 / 80 ] simplifiying candidate # 4.621 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 4.621 * * [simplify]: iters left: 6 (22 enodes) 4.626 * * [simplify]: iters left: 5 (82 enodes) 4.644 * * [simplify]: iters left: 4 (144 enodes) 4.695 * * [simplify]: iters left: 3 (254 enodes) 4.754 * * [simplify]: iters left: 2 (346 enodes) 4.852 * * [simplify]: Extracting #0: cost 1 inf + 0 4.852 * * [simplify]: Extracting #1: cost 4 inf + 0 4.853 * * [simplify]: Extracting #2: cost 5 inf + 1 4.853 * * [simplify]: Extracting #3: cost 12 inf + 1 4.853 * * [simplify]: Extracting #4: cost 48 inf + 1 4.855 * * [simplify]: Extracting #5: cost 82 inf + 1 4.855 * * [simplify]: Extracting #6: cost 70 inf + 594 4.857 * * [simplify]: Extracting #7: cost 51 inf + 3167 4.861 * * [simplify]: Extracting #8: cost 13 inf + 13749 4.867 * * [simplify]: Extracting #9: cost 4 inf + 18141 4.875 * * [simplify]: Extracting #10: cost 1 inf + 20744 4.882 * * [simplify]: Extracting #11: cost 0 inf + 21559 4.890 * * [simplify]: Extracting #12: cost 0 inf + 21519 4.897 * [simplify]: Simplified to (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R) 4.897 * [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)) 4.897 * * * * [progress]: [ 11 / 80 ] simplifiying candidate # 4.898 * * * * [progress]: [ 12 / 80 ] simplifiying candidate # 4.898 * [simplify]: Simplifying (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log R)) 4.898 * * [simplify]: iters left: 6 (24 enodes) 4.908 * * [simplify]: iters left: 5 (88 enodes) 4.922 * * [simplify]: iters left: 4 (150 enodes) 4.949 * * [simplify]: iters left: 3 (260 enodes) 4.996 * * [simplify]: iters left: 2 (361 enodes) 5.090 * * [simplify]: Extracting #0: cost 1 inf + 0 5.090 * * [simplify]: Extracting #1: cost 4 inf + 0 5.090 * * [simplify]: Extracting #2: cost 8 inf + 0 5.090 * * [simplify]: Extracting #3: cost 7 inf + 143 5.090 * * [simplify]: Extracting #4: cost 14 inf + 143 5.091 * * [simplify]: Extracting #5: cost 50 inf + 143 5.091 * * [simplify]: Extracting #6: cost 84 inf + 143 5.091 * * [simplify]: Extracting #7: cost 71 inf + 898 5.093 * * [simplify]: Extracting #8: cost 31 inf + 9809 5.096 * * [simplify]: Extracting #9: cost 9 inf + 17595 5.100 * * [simplify]: Extracting #10: cost 2 inf + 21990 5.104 * * [simplify]: Extracting #11: cost 0 inf + 23869 5.108 * * [simplify]: Extracting #12: cost 0 inf + 23789 5.115 * [simplify]: Simplified to (+ (log (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (log R)) 5.115 * [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)))) 5.116 * * * * [progress]: [ 13 / 80 ] simplifiying candidate # 5.116 * * * * [progress]: [ 14 / 80 ] simplifiying candidate # 5.116 * * * * [progress]: [ 15 / 80 ] simplifiying candidate # 5.116 * [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)) 5.117 * * [simplify]: iters left: 6 (26 enodes) 5.129 * * [simplify]: iters left: 5 (100 enodes) 5.147 * * [simplify]: iters left: 4 (191 enodes) 5.185 * * [simplify]: iters left: 3 (353 enodes) 5.301 * * [simplify]: Extracting #0: cost 1 inf + 0 5.301 * * [simplify]: Extracting #1: cost 23 inf + 0 5.301 * * [simplify]: Extracting #2: cost 48 inf + 2 5.301 * * [simplify]: Extracting #3: cost 52 inf + 166 5.302 * * [simplify]: Extracting #4: cost 104 inf + 672 5.303 * * [simplify]: Extracting #5: cost 137 inf + 884 5.304 * * [simplify]: Extracting #6: cost 120 inf + 1984 5.308 * * [simplify]: Extracting #7: cost 77 inf + 11545 5.316 * * [simplify]: Extracting #8: cost 45 inf + 26064 5.331 * * [simplify]: Extracting #9: cost 30 inf + 37545 5.346 * * [simplify]: Extracting #10: cost 3 inf + 65671 5.359 * * [simplify]: Extracting #11: cost 0 inf + 68685 5.376 * [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))) 5.376 * [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))))) 5.377 * * * * [progress]: [ 16 / 80 ] simplifiying candidate # 5.377 * * * * [progress]: [ 17 / 80 ] simplifiying candidate # 5.377 * * * * [progress]: [ 18 / 80 ] simplifiying candidate # 5.377 * * * * [progress]: [ 19 / 80 ] simplifiying candidate # 5.377 * * * * [progress]: [ 20 / 80 ] simplifiying candidate # 5.377 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) 5.378 * * [simplify]: iters left: 6 (24 enodes) 5.387 * * [simplify]: iters left: 5 (88 enodes) 5.416 * * [simplify]: iters left: 4 (150 enodes) 5.471 * * [simplify]: iters left: 3 (260 enodes) 5.521 * * [simplify]: iters left: 2 (361 enodes) 5.593 * * [simplify]: Extracting #0: cost 1 inf + 0 5.593 * * [simplify]: Extracting #1: cost 4 inf + 0 5.593 * * [simplify]: Extracting #2: cost 8 inf + 0 5.594 * * [simplify]: Extracting #3: cost 7 inf + 83 5.594 * * [simplify]: Extracting #4: cost 14 inf + 83 5.594 * * [simplify]: Extracting #5: cost 50 inf + 83 5.595 * * [simplify]: Extracting #6: cost 84 inf + 83 5.595 * * [simplify]: Extracting #7: cost 71 inf + 838 5.598 * * [simplify]: Extracting #8: cost 31 inf + 9749 5.605 * * [simplify]: Extracting #9: cost 9 inf + 17535 5.612 * * [simplify]: Extracting #10: cost 2 inf + 21840 5.620 * * [simplify]: Extracting #11: cost 0 inf + 23629 5.629 * * [simplify]: Extracting #12: cost 0 inf + 23549 5.637 * [simplify]: Simplified to (* (sqrt R) (sqrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) 5.637 * [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)))) 5.638 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) 5.638 * * [simplify]: iters left: 6 (24 enodes) 5.648 * * [simplify]: iters left: 5 (88 enodes) 5.666 * * [simplify]: iters left: 4 (150 enodes) 5.692 * * [simplify]: iters left: 3 (260 enodes) 5.741 * * [simplify]: iters left: 2 (361 enodes) 5.840 * * [simplify]: Extracting #0: cost 1 inf + 0 5.840 * * [simplify]: Extracting #1: cost 4 inf + 0 5.840 * * [simplify]: Extracting #2: cost 8 inf + 0 5.840 * * [simplify]: Extracting #3: cost 7 inf + 83 5.840 * * [simplify]: Extracting #4: cost 14 inf + 83 5.840 * * [simplify]: Extracting #5: cost 50 inf + 83 5.841 * * [simplify]: Extracting #6: cost 84 inf + 83 5.842 * * [simplify]: Extracting #7: cost 71 inf + 838 5.844 * * [simplify]: Extracting #8: cost 31 inf + 9749 5.848 * * [simplify]: Extracting #9: cost 9 inf + 17535 5.851 * * [simplify]: Extracting #10: cost 2 inf + 21840 5.856 * * [simplify]: Extracting #11: cost 0 inf + 23629 5.860 * * [simplify]: Extracting #12: cost 0 inf + 23549 5.864 * [simplify]: Simplified to (* (sqrt R) (sqrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) 5.864 * [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)))))))) 5.864 * * * * [progress]: [ 21 / 80 ] simplifiying candidate # 5.865 * [simplify]: Simplifying (cbrt R) 5.865 * * [simplify]: iters left: 1 (2 enodes) 5.865 * * [simplify]: Extracting #0: cost 1 inf + 0 5.865 * * [simplify]: Extracting #1: cost 3 inf + 0 5.865 * * [simplify]: Extracting #2: cost 2 inf + 1 5.865 * * [simplify]: Extracting #3: cost 0 inf + 163 5.865 * [simplify]: Simplified to (cbrt R) 5.865 * [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))) 5.865 * * * * [progress]: [ 22 / 80 ] simplifiying candidate # 5.866 * [simplify]: Simplifying (sqrt R) 5.866 * * [simplify]: iters left: 1 (2 enodes) 5.866 * * [simplify]: Extracting #0: cost 1 inf + 0 5.866 * * [simplify]: Extracting #1: cost 3 inf + 0 5.866 * * [simplify]: Extracting #2: cost 2 inf + 1 5.866 * * [simplify]: Extracting #3: cost 0 inf + 83 5.866 * [simplify]: Simplified to (sqrt R) 5.866 * [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))) 5.866 * * * * [progress]: [ 23 / 80 ] simplifiying candidate # 5.866 * * * * [progress]: [ 24 / 80 ] simplifiying candidate # 5.867 * [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)))))))) 5.867 * * [simplify]: iters left: 6 (22 enodes) 5.871 * * [simplify]: iters left: 5 (81 enodes) 5.891 * * [simplify]: iters left: 4 (143 enodes) 5.926 * * [simplify]: iters left: 3 (253 enodes) 5.982 * * [simplify]: iters left: 2 (345 enodes) 6.070 * * [simplify]: Extracting #0: cost 1 inf + 0 6.070 * * [simplify]: Extracting #1: cost 3 inf + 0 6.070 * * [simplify]: Extracting #2: cost 5 inf + 0 6.070 * * [simplify]: Extracting #3: cost 7 inf + 0 6.070 * * [simplify]: Extracting #4: cost 14 inf + 0 6.070 * * [simplify]: Extracting #5: cost 50 inf + 0 6.071 * * [simplify]: Extracting #6: cost 84 inf + 0 6.071 * * [simplify]: Extracting #7: cost 73 inf + 431 6.073 * * [simplify]: Extracting #8: cost 49 inf + 4014 6.078 * * [simplify]: Extracting #9: cost 11 inf + 15602 6.084 * * [simplify]: Extracting #10: cost 2 inf + 21596 6.088 * * [simplify]: Extracting #11: cost 1 inf + 22570 6.092 * * [simplify]: Extracting #12: cost 0 inf + 23544 6.096 * [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)))))) 6.096 * [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))) 6.096 * * * * [progress]: [ 25 / 80 ] simplifiying candidate # 6.096 * [simplify]: Simplifying (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 6.096 * * [simplify]: iters left: 6 (21 enodes) 6.101 * * [simplify]: iters left: 5 (78 enodes) 6.116 * * [simplify]: iters left: 4 (140 enodes) 6.165 * * [simplify]: iters left: 3 (250 enodes) 6.224 * * [simplify]: iters left: 2 (351 enodes) 6.314 * * [simplify]: Extracting #0: cost 1 inf + 0 6.314 * * [simplify]: Extracting #1: cost 3 inf + 0 6.314 * * [simplify]: Extracting #2: cost 5 inf + 0 6.314 * * [simplify]: Extracting #3: cost 12 inf + 0 6.315 * * [simplify]: Extracting #4: cost 48 inf + 0 6.315 * * [simplify]: Extracting #5: cost 82 inf + 0 6.315 * * [simplify]: Extracting #6: cost 64 inf + 1161 6.317 * * [simplify]: Extracting #7: cost 33 inf + 7871 6.319 * * [simplify]: Extracting #8: cost 7 inf + 16730 6.323 * * [simplify]: Extracting #9: cost 1 inf + 20622 6.327 * * [simplify]: Extracting #10: cost 0 inf + 21516 6.333 * [simplify]: Simplified to (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))))))) 6.333 * [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))) 6.333 * * * * [progress]: [ 26 / 80 ] simplifiying candidate # 6.333 * * * * [progress]: [ 27 / 80 ] simplifiying candidate #real (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> 6.334 * * * * [progress]: [ 28 / 80 ] simplifiying candidate # 6.334 * * * * [progress]: [ 29 / 80 ] simplifiying candidate # 6.334 * [simplify]: Simplifying (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 6.334 * * [simplify]: iters left: 5 (7 enodes) 6.337 * * [simplify]: iters left: 4 (26 enodes) 6.345 * * [simplify]: iters left: 3 (32 enodes) 6.353 * * [simplify]: Extracting #0: cost 1 inf + 0 6.353 * * [simplify]: Extracting #1: cost 5 inf + 0 6.353 * * [simplify]: Extracting #2: cost 10 inf + 0 6.353 * * [simplify]: Extracting #3: cost 15 inf + 0 6.353 * * [simplify]: Extracting #4: cost 13 inf + 43 6.354 * * [simplify]: Extracting #5: cost 4 inf + 800 6.354 * * [simplify]: Extracting #6: cost 1 inf + 1186 6.354 * * [simplify]: Extracting #7: cost 0 inf + 1428 6.355 * [simplify]: Simplified to (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) 6.355 * [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)) 6.355 * * * * [progress]: [ 30 / 80 ] simplifiying candidate # 6.356 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 6.356 * * [simplify]: iters left: 3 (5 enodes) 6.358 * * [simplify]: iters left: 2 (16 enodes) 6.362 * * [simplify]: Extracting #0: cost 1 inf + 0 6.362 * * [simplify]: Extracting #1: cost 4 inf + 0 6.362 * * [simplify]: Extracting #2: cost 8 inf + 0 6.362 * * [simplify]: Extracting #3: cost 4 inf + 124 6.362 * * [simplify]: Extracting #4: cost 0 inf + 570 6.362 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 6.363 * [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)) 6.363 * * * * [progress]: [ 31 / 80 ] simplifiying candidate # 6.363 * * * * [progress]: [ 32 / 80 ] simplifiying candidate # 6.363 * [simplify]: Simplifying (+ (log (sin phi1)) (log (sin phi2))) 6.363 * * [simplify]: iters left: 4 (7 enodes) 6.366 * * [simplify]: iters left: 3 (22 enodes) 6.371 * * [simplify]: Extracting #0: cost 1 inf + 0 6.372 * * [simplify]: Extracting #1: cost 4 inf + 0 6.372 * * [simplify]: Extracting #2: cost 8 inf + 0 6.372 * * [simplify]: Extracting #3: cost 12 inf + 0 6.372 * * [simplify]: Extracting #4: cost 10 inf + 2 6.372 * * [simplify]: Extracting #5: cost 4 inf + 508 6.372 * * [simplify]: Extracting #6: cost 1 inf + 1072 6.373 * * [simplify]: Extracting #7: cost 0 inf + 1374 6.373 * [simplify]: Simplified to (+ (log (sin phi2)) (log (sin phi1))) 6.373 * [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)) 6.373 * * * * [progress]: [ 33 / 80 ] simplifiying candidate # 6.373 * * * * [progress]: [ 34 / 80 ] simplifiying candidate # 6.373 * * * * [progress]: [ 35 / 80 ] simplifiying candidate # 6.374 * [simplify]: Simplifying (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) 6.374 * * [simplify]: iters left: 6 (9 enodes) 6.378 * * [simplify]: iters left: 5 (34 enodes) 6.390 * * [simplify]: iters left: 4 (63 enodes) 6.408 * * [simplify]: iters left: 3 (122 enodes) 6.431 * * [simplify]: iters left: 2 (196 enodes) 6.484 * * [simplify]: iters left: 1 (356 enodes) 6.650 * * [simplify]: Extracting #0: cost 1 inf + 0 6.650 * * [simplify]: Extracting #1: cost 70 inf + 0 6.650 * * [simplify]: Extracting #2: cost 169 inf + 1 6.651 * * [simplify]: Extracting #3: cost 154 inf + 2658 6.655 * * [simplify]: Extracting #4: cost 86 inf + 31524 6.663 * * [simplify]: Extracting #5: cost 7 inf + 77226 6.673 * * [simplify]: Extracting #6: cost 0 inf + 81813 6.689 * [simplify]: Simplified to (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1))) 6.689 * [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)) 6.690 * * * * [progress]: [ 36 / 80 ] simplifiying candidate # 6.690 * * * * [progress]: [ 37 / 80 ] simplifiying candidate # 6.690 * * * * [progress]: [ 38 / 80 ] simplifiying candidate # 6.690 * * * * [progress]: [ 39 / 80 ] simplifiying candidate # 6.690 * * * * [progress]: [ 40 / 80 ] simplifiying candidate # 6.690 * [simplify]: Simplifying (* (sqrt (sin phi1)) (sqrt (sin phi2))) 6.690 * * [simplify]: iters left: 4 (7 enodes) 6.693 * * [simplify]: iters left: 3 (22 enodes) 6.699 * * [simplify]: Extracting #0: cost 1 inf + 0 6.699 * * [simplify]: Extracting #1: cost 4 inf + 0 6.699 * * [simplify]: Extracting #2: cost 8 inf + 0 6.699 * * [simplify]: Extracting #3: cost 12 inf + 0 6.699 * * [simplify]: Extracting #4: cost 10 inf + 2 6.700 * * [simplify]: Extracting #5: cost 4 inf + 448 6.700 * * [simplify]: Extracting #6: cost 1 inf + 892 6.700 * * [simplify]: Extracting #7: cost 0 inf + 1134 6.700 * [simplify]: Simplified to (* (sqrt (sin phi1)) (sqrt (sin phi2))) 6.700 * [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)) 6.701 * [simplify]: Simplifying (* (sqrt (sin phi1)) (sqrt (sin phi2))) 6.701 * * [simplify]: iters left: 4 (7 enodes) 6.704 * * [simplify]: iters left: 3 (22 enodes) 6.710 * * [simplify]: Extracting #0: cost 1 inf + 0 6.710 * * [simplify]: Extracting #1: cost 4 inf + 0 6.710 * * [simplify]: Extracting #2: cost 8 inf + 0 6.710 * * [simplify]: Extracting #3: cost 12 inf + 0 6.710 * * [simplify]: Extracting #4: cost 10 inf + 2 6.711 * * [simplify]: Extracting #5: cost 4 inf + 448 6.711 * * [simplify]: Extracting #6: cost 1 inf + 892 6.711 * * [simplify]: Extracting #7: cost 0 inf + 1134 6.712 * [simplify]: Simplified to (* (sqrt (sin phi1)) (sqrt (sin phi2))) 6.712 * [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)) 6.712 * * * * [progress]: [ 41 / 80 ] simplifiying candidate # 6.712 * [simplify]: Simplifying (cbrt (sin phi2)) 6.712 * * [simplify]: iters left: 2 (3 enodes) 6.714 * * [simplify]: iters left: 1 (9 enodes) 6.716 * * [simplify]: Extracting #0: cost 1 inf + 0 6.716 * * [simplify]: Extracting #1: cost 3 inf + 0 6.716 * * [simplify]: Extracting #2: cost 5 inf + 0 6.716 * * [simplify]: Extracting #3: cost 4 inf + 1 6.716 * * [simplify]: Extracting #4: cost 0 inf + 405 6.716 * [simplify]: Simplified to (cbrt (sin phi2)) 6.716 * [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)) 6.716 * * * * [progress]: [ 42 / 80 ] simplifiying candidate # 6.717 * [simplify]: Simplifying (sqrt (sin phi2)) 6.717 * * [simplify]: iters left: 2 (3 enodes) 6.718 * * [simplify]: iters left: 1 (9 enodes) 6.721 * * [simplify]: Extracting #0: cost 1 inf + 0 6.721 * * [simplify]: Extracting #1: cost 3 inf + 0 6.721 * * [simplify]: Extracting #2: cost 5 inf + 0 6.721 * * [simplify]: Extracting #3: cost 4 inf + 1 6.721 * * [simplify]: Extracting #4: cost 0 inf + 325 6.721 * [simplify]: Simplified to (sqrt (sin phi2)) 6.721 * [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)) 6.721 * * * * [progress]: [ 43 / 80 ] simplifiying candidate # 6.722 * [simplify]: Simplifying (sin phi2) 6.722 * * [simplify]: iters left: 1 (2 enodes) 6.723 * * [simplify]: Extracting #0: cost 1 inf + 0 6.723 * * [simplify]: Extracting #1: cost 3 inf + 0 6.723 * * [simplify]: Extracting #2: cost 2 inf + 1 6.723 * * [simplify]: Extracting #3: cost 0 inf + 123 6.723 * [simplify]: Simplified to (sin phi2) 6.723 * [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)) 6.723 * * * * [progress]: [ 44 / 80 ] simplifiying candidate # 6.724 * [simplify]: Simplifying (* (cbrt (sin phi1)) (cbrt (sin phi1))) 6.724 * * [simplify]: iters left: 4 (4 enodes) 6.725 * * [simplify]: iters left: 3 (12 enodes) 6.729 * * [simplify]: Extracting #0: cost 1 inf + 0 6.729 * * [simplify]: Extracting #1: cost 3 inf + 0 6.729 * * [simplify]: Extracting #2: cost 5 inf + 0 6.729 * * [simplify]: Extracting #3: cost 7 inf + 0 6.729 * * [simplify]: Extracting #4: cost 6 inf + 1 6.729 * * [simplify]: Extracting #5: cost 0 inf + 767 6.729 * [simplify]: Simplified to (* (cbrt (sin phi1)) (cbrt (sin phi1))) 6.729 * [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)) 6.729 * * * * [progress]: [ 45 / 80 ] simplifiying candidate # 6.730 * [simplify]: Simplifying (sqrt (sin phi1)) 6.730 * * [simplify]: iters left: 2 (3 enodes) 6.731 * * [simplify]: iters left: 1 (9 enodes) 6.733 * * [simplify]: Extracting #0: cost 1 inf + 0 6.733 * * [simplify]: Extracting #1: cost 3 inf + 0 6.733 * * [simplify]: Extracting #2: cost 5 inf + 0 6.733 * * [simplify]: Extracting #3: cost 4 inf + 1 6.733 * * [simplify]: Extracting #4: cost 0 inf + 325 6.734 * [simplify]: Simplified to (sqrt (sin phi1)) 6.734 * [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)) 6.734 * * * * [progress]: [ 46 / 80 ] simplifiying candidate # 6.734 * * * * [progress]: [ 47 / 80 ] simplifiying candidate #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> 6.734 * * * * [progress]: [ 48 / 80 ] simplifiying candidate # 6.734 * * * * [progress]: [ 49 / 80 ] simplifiying candidate # 6.734 * [simplify]: Simplifying (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) 6.734 * * [simplify]: iters left: 5 (7 enodes) 6.737 * * [simplify]: iters left: 4 (26 enodes) 6.744 * * [simplify]: iters left: 3 (32 enodes) 6.754 * * [simplify]: Extracting #0: cost 1 inf + 0 6.755 * * [simplify]: Extracting #1: cost 5 inf + 0 6.755 * * [simplify]: Extracting #2: cost 10 inf + 0 6.755 * * [simplify]: Extracting #3: cost 15 inf + 0 6.755 * * [simplify]: Extracting #4: cost 13 inf + 43 6.755 * * [simplify]: Extracting #5: cost 4 inf + 800 6.756 * * [simplify]: Extracting #6: cost 1 inf + 1186 6.756 * * [simplify]: Extracting #7: cost 0 inf + 1428 6.757 * [simplify]: Simplified to (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))) 6.757 * [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)) 6.757 * * * * [progress]: [ 50 / 80 ] simplifiying candidate # 6.757 * [simplify]: Simplifying (* (sin lambda1) (sin lambda2)) 6.757 * * [simplify]: iters left: 3 (5 enodes) 6.759 * * [simplify]: iters left: 2 (16 enodes) 6.763 * * [simplify]: Extracting #0: cost 1 inf + 0 6.764 * * [simplify]: Extracting #1: cost 4 inf + 0 6.764 * * [simplify]: Extracting #2: cost 8 inf + 0 6.764 * * [simplify]: Extracting #3: cost 4 inf + 124 6.764 * * [simplify]: Extracting #4: cost 0 inf + 570 6.764 * [simplify]: Simplified to (* (sin lambda2) (sin lambda1)) 6.764 * [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)) 6.764 * * * * [progress]: [ 51 / 80 ] simplifiying candidate # 6.764 * * * * [progress]: [ 52 / 80 ] simplifiying candidate # 6.765 * [simplify]: Simplifying (+ (log (sin lambda1)) (log (sin lambda2))) 6.765 * * [simplify]: iters left: 4 (7 enodes) 6.768 * * [simplify]: iters left: 3 (22 enodes) 6.773 * * [simplify]: Extracting #0: cost 1 inf + 0 6.773 * * [simplify]: Extracting #1: cost 4 inf + 0 6.774 * * [simplify]: Extracting #2: cost 8 inf + 0 6.774 * * [simplify]: Extracting #3: cost 12 inf + 0 6.774 * * [simplify]: Extracting #4: cost 10 inf + 2 6.774 * * [simplify]: Extracting #5: cost 4 inf + 508 6.774 * * [simplify]: Extracting #6: cost 1 inf + 1072 6.774 * * [simplify]: Extracting #7: cost 0 inf + 1374 6.775 * [simplify]: Simplified to (+ (log (sin lambda2)) (log (sin lambda1))) 6.775 * [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)) 6.775 * * * * [progress]: [ 53 / 80 ] simplifiying candidate # 6.775 * * * * [progress]: [ 54 / 80 ] simplifiying candidate # 6.775 * * * * [progress]: [ 55 / 80 ] simplifiying candidate # 6.776 * [simplify]: Simplifying (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) 6.776 * * [simplify]: iters left: 6 (9 enodes) 6.780 * * [simplify]: iters left: 5 (34 enodes) 6.791 * * [simplify]: iters left: 4 (63 enodes) 6.804 * * [simplify]: iters left: 3 (122 enodes) 6.827 * * [simplify]: iters left: 2 (196 enodes) 6.898 * * [simplify]: iters left: 1 (356 enodes) 7.106 * * [simplify]: Extracting #0: cost 1 inf + 0 7.107 * * [simplify]: Extracting #1: cost 70 inf + 0 7.108 * * [simplify]: Extracting #2: cost 169 inf + 1 7.110 * * [simplify]: Extracting #3: cost 154 inf + 2658 7.117 * * [simplify]: Extracting #4: cost 86 inf + 31524 7.132 * * [simplify]: Extracting #5: cost 7 inf + 77226 7.149 * * [simplify]: Extracting #6: cost 0 inf + 81813 7.165 * [simplify]: Simplified to (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (sin lambda2) (sin lambda1))) 7.165 * [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)) 7.165 * * * * [progress]: [ 56 / 80 ] simplifiying candidate # 7.165 * * * * [progress]: [ 57 / 80 ] simplifiying candidate # 7.165 * * * * [progress]: [ 58 / 80 ] simplifiying candidate # 7.166 * * * * [progress]: [ 59 / 80 ] simplifiying candidate # 7.166 * * * * [progress]: [ 60 / 80 ] simplifiying candidate # 7.166 * [simplify]: Simplifying (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) 7.166 * * [simplify]: iters left: 4 (7 enodes) 7.169 * * [simplify]: iters left: 3 (22 enodes) 7.175 * * [simplify]: Extracting #0: cost 1 inf + 0 7.175 * * [simplify]: Extracting #1: cost 4 inf + 0 7.175 * * [simplify]: Extracting #2: cost 8 inf + 0 7.175 * * [simplify]: Extracting #3: cost 12 inf + 0 7.175 * * [simplify]: Extracting #4: cost 10 inf + 2 7.175 * * [simplify]: Extracting #5: cost 4 inf + 448 7.175 * * [simplify]: Extracting #6: cost 1 inf + 892 7.176 * * [simplify]: Extracting #7: cost 0 inf + 1134 7.176 * [simplify]: Simplified to (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) 7.176 * [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)) 7.177 * [simplify]: Simplifying (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) 7.177 * * [simplify]: iters left: 4 (7 enodes) 7.179 * * [simplify]: iters left: 3 (22 enodes) 7.185 * * [simplify]: Extracting #0: cost 1 inf + 0 7.186 * * [simplify]: Extracting #1: cost 4 inf + 0 7.186 * * [simplify]: Extracting #2: cost 8 inf + 0 7.186 * * [simplify]: Extracting #3: cost 12 inf + 0 7.186 * * [simplify]: Extracting #4: cost 10 inf + 2 7.186 * * [simplify]: Extracting #5: cost 4 inf + 448 7.186 * * [simplify]: Extracting #6: cost 1 inf + 892 7.187 * * [simplify]: Extracting #7: cost 0 inf + 1134 7.187 * [simplify]: Simplified to (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) 7.187 * [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)) 7.187 * * * * [progress]: [ 61 / 80 ] simplifiying candidate # 7.188 * [simplify]: Simplifying (cbrt (sin lambda2)) 7.188 * * [simplify]: iters left: 2 (3 enodes) 7.189 * * [simplify]: iters left: 1 (9 enodes) 7.191 * * [simplify]: Extracting #0: cost 1 inf + 0 7.191 * * [simplify]: Extracting #1: cost 3 inf + 0 7.191 * * [simplify]: Extracting #2: cost 5 inf + 0 7.191 * * [simplify]: Extracting #3: cost 4 inf + 1 7.191 * * [simplify]: Extracting #4: cost 0 inf + 405 7.192 * [simplify]: Simplified to (cbrt (sin lambda2)) 7.192 * [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)) 7.192 * * * * [progress]: [ 62 / 80 ] simplifiying candidate # 7.192 * [simplify]: Simplifying (sqrt (sin lambda2)) 7.193 * * [simplify]: iters left: 2 (3 enodes) 7.194 * * [simplify]: iters left: 1 (9 enodes) 7.196 * * [simplify]: Extracting #0: cost 1 inf + 0 7.196 * * [simplify]: Extracting #1: cost 3 inf + 0 7.196 * * [simplify]: Extracting #2: cost 5 inf + 0 7.196 * * [simplify]: Extracting #3: cost 4 inf + 1 7.196 * * [simplify]: Extracting #4: cost 0 inf + 325 7.196 * [simplify]: Simplified to (sqrt (sin lambda2)) 7.196 * [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)) 7.197 * * * * [progress]: [ 63 / 80 ] simplifiying candidate # 7.197 * [simplify]: Simplifying (sin lambda2) 7.197 * * [simplify]: iters left: 1 (2 enodes) 7.197 * * [simplify]: Extracting #0: cost 1 inf + 0 7.197 * * [simplify]: Extracting #1: cost 3 inf + 0 7.197 * * [simplify]: Extracting #2: cost 2 inf + 1 7.197 * * [simplify]: Extracting #3: cost 0 inf + 123 7.197 * [simplify]: Simplified to (sin lambda2) 7.197 * [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)) 7.198 * * * * [progress]: [ 64 / 80 ] simplifiying candidate # 7.198 * [simplify]: Simplifying (* (cbrt (sin lambda1)) (cbrt (sin lambda1))) 7.198 * * [simplify]: iters left: 4 (4 enodes) 7.201 * * [simplify]: iters left: 3 (12 enodes) 7.202 * * [simplify]: Extracting #0: cost 1 inf + 0 7.202 * * [simplify]: Extracting #1: cost 3 inf + 0 7.202 * * [simplify]: Extracting #2: cost 5 inf + 0 7.202 * * [simplify]: Extracting #3: cost 7 inf + 0 7.203 * * [simplify]: Extracting #4: cost 6 inf + 1 7.203 * * [simplify]: Extracting #5: cost 0 inf + 767 7.203 * [simplify]: Simplified to (* (cbrt (sin lambda1)) (cbrt (sin lambda1))) 7.203 * [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)) 7.203 * * * * [progress]: [ 65 / 80 ] simplifiying candidate # 7.203 * [simplify]: Simplifying (sqrt (sin lambda1)) 7.203 * * [simplify]: iters left: 2 (3 enodes) 7.204 * * [simplify]: iters left: 1 (9 enodes) 7.205 * * [simplify]: Extracting #0: cost 1 inf + 0 7.205 * * [simplify]: Extracting #1: cost 3 inf + 0 7.205 * * [simplify]: Extracting #2: cost 5 inf + 0 7.205 * * [simplify]: Extracting #3: cost 4 inf + 1 7.205 * * [simplify]: Extracting #4: cost 0 inf + 325 7.205 * [simplify]: Simplified to (sqrt (sin lambda1)) 7.205 * [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)) 7.205 * * * * [progress]: [ 66 / 80 ] simplifiying candidate # 7.205 * * * * [progress]: [ 67 / 80 ] simplifiying candidate #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> 7.205 * * * * [progress]: [ 68 / 80 ] simplifiying candidate # 7.205 * * * * [progress]: [ 69 / 80 ] simplifiying candidate # 7.206 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 7.206 * * [simplify]: iters left: 6 (22 enodes) 7.210 * * [simplify]: iters left: 5 (84 enodes) 7.223 * * [simplify]: iters left: 4 (141 enodes) 7.267 * * [simplify]: iters left: 3 (241 enodes) 7.309 * * [simplify]: iters left: 2 (280 enodes) 7.380 * * [simplify]: Extracting #0: cost 1 inf + 0 7.381 * * [simplify]: Extracting #1: cost 3 inf + 0 7.381 * * [simplify]: Extracting #2: cost 10 inf + 0 7.381 * * [simplify]: Extracting #3: cost 46 inf + 0 7.381 * * [simplify]: Extracting #4: cost 80 inf + 0 7.382 * * [simplify]: Extracting #5: cost 63 inf + 1504 7.385 * * [simplify]: Extracting #6: cost 22 inf + 9796 7.388 * * [simplify]: Extracting #7: cost 5 inf + 17031 7.393 * * [simplify]: Extracting #8: cost 0 inf + 19888 7.396 * * [simplify]: Extracting #9: cost 0 inf + 19728 7.400 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) 7.400 * [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)) 7.400 * * * * [progress]: [ 70 / 80 ] simplifiying candidate # 7.400 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 7.400 * * [simplify]: iters left: 6 (22 enodes) 7.405 * * [simplify]: iters left: 5 (84 enodes) 7.422 * * [simplify]: iters left: 4 (141 enodes) 7.472 * * [simplify]: iters left: 3 (241 enodes) 7.552 * * [simplify]: iters left: 2 (280 enodes) 7.600 * * [simplify]: Extracting #0: cost 1 inf + 0 7.600 * * [simplify]: Extracting #1: cost 3 inf + 0 7.600 * * [simplify]: Extracting #2: cost 10 inf + 0 7.601 * * [simplify]: Extracting #3: cost 46 inf + 0 7.601 * * [simplify]: Extracting #4: cost 80 inf + 0 7.602 * * [simplify]: Extracting #5: cost 58 inf + 2112 7.605 * * [simplify]: Extracting #6: cost 20 inf + 10221 7.611 * * [simplify]: Extracting #7: cost 2 inf + 18300 7.617 * * [simplify]: Extracting #8: cost 0 inf + 19888 7.621 * * [simplify]: Extracting #9: cost 0 inf + 19728 7.625 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) 7.625 * [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)) 7.625 * * * * [progress]: [ 71 / 80 ] simplifiying candidate # 7.625 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 7.625 * * [simplify]: iters left: 6 (22 enodes) 7.630 * * [simplify]: iters left: 5 (84 enodes) 7.642 * * [simplify]: iters left: 4 (141 enodes) 7.690 * * [simplify]: iters left: 3 (241 enodes) 7.758 * * [simplify]: iters left: 2 (280 enodes) 7.806 * * [simplify]: Extracting #0: cost 1 inf + 0 7.806 * * [simplify]: Extracting #1: cost 3 inf + 0 7.806 * * [simplify]: Extracting #2: cost 10 inf + 0 7.806 * * [simplify]: Extracting #3: cost 46 inf + 0 7.806 * * [simplify]: Extracting #4: cost 80 inf + 0 7.807 * * [simplify]: Extracting #5: cost 63 inf + 1504 7.808 * * [simplify]: Extracting #6: cost 22 inf + 9796 7.811 * * [simplify]: Extracting #7: cost 5 inf + 17031 7.815 * * [simplify]: Extracting #8: cost 0 inf + 19888 7.818 * * [simplify]: Extracting #9: cost 0 inf + 19728 7.822 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) 7.822 * [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)) 7.822 * * * * [progress]: [ 72 / 80 ] simplifiying candidate # 7.822 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 7.822 * * [simplify]: iters left: 6 (24 enodes) 7.827 * * [simplify]: iters left: 5 (91 enodes) 7.841 * * [simplify]: iters left: 4 (148 enodes) 7.880 * * [simplify]: iters left: 3 (248 enodes) 7.964 * * [simplify]: iters left: 2 (295 enodes) 8.010 * * [simplify]: Extracting #0: cost 1 inf + 0 8.010 * * [simplify]: Extracting #1: cost 4 inf + 0 8.010 * * [simplify]: Extracting #2: cost 5 inf + 1 8.010 * * [simplify]: Extracting #3: cost 12 inf + 1 8.010 * * [simplify]: Extracting #4: cost 48 inf + 1 8.011 * * [simplify]: Extracting #5: cost 82 inf + 1 8.011 * * [simplify]: Extracting #6: cost 71 inf + 634 8.014 * * [simplify]: Extracting #7: cost 31 inf + 8806 8.019 * * [simplify]: Extracting #8: cost 5 inf + 18631 8.026 * * [simplify]: Extracting #9: cost 1 inf + 20704 8.033 * * [simplify]: Extracting #10: cost 0 inf + 21559 8.040 * * [simplify]: Extracting #11: cost 0 inf + 21519 8.048 * [simplify]: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 8.048 * [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))))))) 8.048 * * * * [progress]: [ 73 / 80 ] simplifiying candidate # 8.049 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 8.049 * * [simplify]: iters left: 6 (24 enodes) 8.059 * * [simplify]: iters left: 5 (91 enodes) 8.087 * * [simplify]: iters left: 4 (148 enodes) 8.124 * * [simplify]: iters left: 3 (248 enodes) 8.181 * * [simplify]: iters left: 2 (292 enodes) 8.235 * * [simplify]: Extracting #0: cost 1 inf + 0 8.235 * * [simplify]: Extracting #1: cost 4 inf + 0 8.235 * * [simplify]: Extracting #2: cost 5 inf + 1 8.235 * * [simplify]: Extracting #3: cost 12 inf + 1 8.235 * * [simplify]: Extracting #4: cost 48 inf + 1 8.236 * * [simplify]: Extracting #5: cost 82 inf + 1 8.237 * * [simplify]: Extracting #6: cost 61 inf + 2052 8.240 * * [simplify]: Extracting #7: cost 23 inf + 9919 8.246 * * [simplify]: Extracting #8: cost 4 inf + 18021 8.253 * * [simplify]: Extracting #9: cost 1 inf + 20624 8.260 * * [simplify]: Extracting #10: cost 0 inf + 21519 8.267 * [simplify]: Simplified to (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R) 8.267 * [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)) 8.268 * * * * [progress]: [ 74 / 80 ] simplifiying candidate # 8.268 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 8.268 * * [simplify]: iters left: 6 (24 enodes) 8.279 * * [simplify]: iters left: 5 (91 enodes) 8.300 * * [simplify]: iters left: 4 (148 enodes) 8.328 * * [simplify]: iters left: 3 (248 enodes) 8.411 * * [simplify]: iters left: 2 (295 enodes) 8.468 * * [simplify]: Extracting #0: cost 1 inf + 0 8.468 * * [simplify]: Extracting #1: cost 4 inf + 0 8.468 * * [simplify]: Extracting #2: cost 5 inf + 1 8.468 * * [simplify]: Extracting #3: cost 12 inf + 1 8.469 * * [simplify]: Extracting #4: cost 48 inf + 1 8.469 * * [simplify]: Extracting #5: cost 82 inf + 1 8.470 * * [simplify]: Extracting #6: cost 71 inf + 634 8.472 * * [simplify]: Extracting #7: cost 31 inf + 8806 8.478 * * [simplify]: Extracting #8: cost 5 inf + 18631 8.485 * * [simplify]: Extracting #9: cost 1 inf + 20704 8.492 * * [simplify]: Extracting #10: cost 0 inf + 21559 8.500 * * [simplify]: Extracting #11: cost 0 inf + 21519 8.506 * [simplify]: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 8.506 * [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))))))) 8.506 * * * * [progress]: [ 75 / 80 ] simplifiying candidate # 8.506 * [simplify]: Simplifying (* phi1 phi2) 8.506 * * [simplify]: iters left: 2 (3 enodes) 8.507 * * [simplify]: iters left: 1 (10 enodes) 8.509 * * [simplify]: Extracting #0: cost 1 inf + 0 8.509 * * [simplify]: Extracting #1: cost 4 inf + 0 8.509 * * [simplify]: Extracting #2: cost 2 inf + 2 8.509 * * [simplify]: Extracting #3: cost 0 inf + 86 8.509 * [simplify]: Simplified to (* phi1 phi2) 8.509 * [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)) 8.509 * * * * [progress]: [ 76 / 80 ] simplifiying candidate # 8.509 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 8.509 * * [simplify]: iters left: 3 (5 enodes) 8.510 * * [simplify]: iters left: 2 (16 enodes) 8.512 * * [simplify]: Extracting #0: cost 1 inf + 0 8.512 * * [simplify]: Extracting #1: cost 4 inf + 0 8.512 * * [simplify]: Extracting #2: cost 8 inf + 0 8.512 * * [simplify]: Extracting #3: cost 4 inf + 124 8.512 * * [simplify]: Extracting #4: cost 0 inf + 570 8.512 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 8.512 * [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)) 8.513 * * * * [progress]: [ 77 / 80 ] simplifiying candidate # 8.513 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 8.513 * * [simplify]: iters left: 3 (5 enodes) 8.514 * * [simplify]: iters left: 2 (16 enodes) 8.517 * * [simplify]: Extracting #0: cost 1 inf + 0 8.517 * * [simplify]: Extracting #1: cost 4 inf + 0 8.517 * * [simplify]: Extracting #2: cost 8 inf + 0 8.517 * * [simplify]: Extracting #3: cost 4 inf + 124 8.517 * * [simplify]: Extracting #4: cost 0 inf + 570 8.517 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 8.517 * [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)) 8.517 * * * * [progress]: [ 78 / 80 ] simplifiying candidate # 8.517 * [simplify]: Simplifying (* lambda2 lambda1) 8.517 * * [simplify]: iters left: 2 (3 enodes) 8.518 * * [simplify]: iters left: 1 (10 enodes) 8.519 * * [simplify]: Extracting #0: cost 1 inf + 0 8.519 * * [simplify]: Extracting #1: cost 4 inf + 0 8.519 * * [simplify]: Extracting #2: cost 2 inf + 2 8.519 * * [simplify]: Extracting #3: cost 0 inf + 86 8.519 * [simplify]: Simplified to (* lambda2 lambda1) 8.519 * [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)) 8.520 * * * * [progress]: [ 79 / 80 ] simplifiying candidate # 8.520 * [simplify]: Simplifying (* (sin lambda2) (sin lambda1)) 8.520 * * [simplify]: iters left: 3 (5 enodes) 8.521 * * [simplify]: iters left: 2 (16 enodes) 8.523 * * [simplify]: Extracting #0: cost 1 inf + 0 8.523 * * [simplify]: Extracting #1: cost 4 inf + 0 8.523 * * [simplify]: Extracting #2: cost 8 inf + 0 8.523 * * [simplify]: Extracting #3: cost 4 inf + 124 8.523 * * [simplify]: Extracting #4: cost 0 inf + 570 8.523 * [simplify]: Simplified to (* (sin lambda1) (sin lambda2)) 8.523 * [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)) 8.523 * * * * [progress]: [ 80 / 80 ] simplifiying candidate # 8.523 * [simplify]: Simplifying (* (sin lambda1) (sin lambda2)) 8.523 * * [simplify]: iters left: 3 (5 enodes) 8.524 * * [simplify]: iters left: 2 (16 enodes) 8.526 * * [simplify]: Extracting #0: cost 1 inf + 0 8.526 * * [simplify]: Extracting #1: cost 4 inf + 0 8.526 * * [simplify]: Extracting #2: cost 8 inf + 0 8.526 * * [simplify]: Extracting #3: cost 4 inf + 124 8.527 * * [simplify]: Extracting #4: cost 0 inf + 570 8.527 * [simplify]: Simplified to (* (sin lambda2) (sin lambda1)) 8.527 * [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)) 8.527 * * * [progress]: adding candidates to table 10.320 * * [progress]: iteration 3 / 4 10.320 * * * [progress]: picking best candidate 10.564 * * * * [pick]: Picked # 10.564 * * * [progress]: localizing error 10.670 * * * [progress]: generating rewritten candidates 10.670 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2 2) 10.680 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 10.684 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 10.696 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 10.708 * * * [progress]: generating series expansions 10.708 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2 2) 10.709 * [backup-simplify]: Simplify (log (exp (* (sin lambda1) (sin lambda2)))) into (* (sin lambda1) (sin lambda2)) 10.709 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 10.709 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 10.709 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 10.709 * [taylor]: Taking taylor expansion of lambda1 in lambda2 10.709 * [backup-simplify]: Simplify lambda1 into lambda1 10.709 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 10.709 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 10.709 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 10.709 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.709 * [backup-simplify]: Simplify 0 into 0 10.709 * [backup-simplify]: Simplify 1 into 1 10.709 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 10.709 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 10.709 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.709 * [backup-simplify]: Simplify 0 into 0 10.709 * [backup-simplify]: Simplify 1 into 1 10.709 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 10.709 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.709 * [backup-simplify]: Simplify lambda2 into lambda2 10.709 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 10.709 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 10.709 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 10.709 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 10.709 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.709 * [backup-simplify]: Simplify 0 into 0 10.709 * [backup-simplify]: Simplify 1 into 1 10.709 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 10.709 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.709 * [backup-simplify]: Simplify lambda2 into lambda2 10.709 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 10.709 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 10.709 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 10.709 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 10.709 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 10.709 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0 10.709 * [taylor]: Taking taylor expansion of 0 in lambda2 10.709 * [backup-simplify]: Simplify 0 into 0 10.709 * [backup-simplify]: Simplify 0 into 0 10.710 * [backup-simplify]: Simplify (+ 0) into 0 10.710 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 10.711 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.711 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 10.711 * [backup-simplify]: Simplify (+ 0 0) into 0 10.712 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 10.712 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2) 10.712 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 10.712 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.712 * [backup-simplify]: Simplify 0 into 0 10.712 * [backup-simplify]: Simplify 1 into 1 10.712 * [backup-simplify]: Simplify 0 into 0 10.712 * [backup-simplify]: Simplify 0 into 0 10.713 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.713 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 10.714 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.714 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 10.715 * [backup-simplify]: Simplify (+ 0 0) into 0 10.715 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.716 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0 10.716 * [taylor]: Taking taylor expansion of 0 in lambda2 10.716 * [backup-simplify]: Simplify 0 into 0 10.716 * [backup-simplify]: Simplify 0 into 0 10.716 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 10.716 * [backup-simplify]: Simplify 1 into 1 10.716 * [backup-simplify]: Simplify 0 into 0 10.717 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.717 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.718 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.718 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.719 * [backup-simplify]: Simplify (+ 0 0) into 0 10.719 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 10.720 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda2))))) into (- (* 1/6 (sin lambda2))) 10.720 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 10.720 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 10.720 * [taylor]: Taking taylor expansion of 1/6 in lambda2 10.720 * [backup-simplify]: Simplify 1/6 into 1/6 10.720 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 10.720 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.720 * [backup-simplify]: Simplify 0 into 0 10.720 * [backup-simplify]: Simplify 1 into 1 10.721 * [backup-simplify]: Simplify (* 1/6 0) into 0 10.721 * [backup-simplify]: Simplify (- 0) into 0 10.721 * [backup-simplify]: Simplify 0 into 0 10.721 * [backup-simplify]: Simplify 0 into 0 10.722 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.722 * [backup-simplify]: Simplify 0 into 0 10.722 * [backup-simplify]: Simplify 0 into 0 10.724 * [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 10.725 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.727 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 10.728 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 10.728 * [backup-simplify]: Simplify (+ 0 0) into 0 10.729 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 10.738 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda2)))))) into 0 10.738 * [taylor]: Taking taylor expansion of 0 in lambda2 10.738 * [backup-simplify]: Simplify 0 into 0 10.738 * [backup-simplify]: Simplify 0 into 0 10.738 * [backup-simplify]: Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1) 10.738 * [backup-simplify]: Simplify (log (exp (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 10.738 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in (lambda1 lambda2) around 0 10.738 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 10.738 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 10.738 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 10.738 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.738 * [backup-simplify]: Simplify 0 into 0 10.738 * [backup-simplify]: Simplify 1 into 1 10.739 * [backup-simplify]: Simplify (/ 1 1) into 1 10.739 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 10.739 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 10.739 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 10.739 * [taylor]: Taking taylor expansion of lambda1 in lambda2 10.739 * [backup-simplify]: Simplify lambda1 into lambda1 10.739 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 10.739 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 10.739 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 10.739 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 10.739 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 10.739 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 10.739 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.739 * [backup-simplify]: Simplify lambda2 into lambda2 10.739 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 10.740 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 10.740 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 10.740 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 10.740 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 10.740 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.740 * [backup-simplify]: Simplify 0 into 0 10.740 * [backup-simplify]: Simplify 1 into 1 10.740 * [backup-simplify]: Simplify (/ 1 1) into 1 10.740 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 10.740 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 10.740 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 10.741 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 10.741 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.741 * [backup-simplify]: Simplify lambda2 into lambda2 10.741 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 10.741 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 10.741 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 10.741 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 10.741 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 10.741 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.741 * [backup-simplify]: Simplify 0 into 0 10.741 * [backup-simplify]: Simplify 1 into 1 10.741 * [backup-simplify]: Simplify (/ 1 1) into 1 10.741 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 10.742 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 10.742 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 10.742 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 10.742 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 10.742 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 10.742 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 10.742 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 10.742 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.742 * [backup-simplify]: Simplify 0 into 0 10.742 * [backup-simplify]: Simplify 1 into 1 10.743 * [backup-simplify]: Simplify (/ 1 1) into 1 10.743 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 10.743 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 10.743 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 10.743 * [taylor]: Taking taylor expansion of lambda1 in lambda2 10.743 * [backup-simplify]: Simplify lambda1 into lambda1 10.743 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 10.743 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 10.743 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 10.743 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 10.743 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 10.743 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 10.743 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 10.743 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 10.744 * [backup-simplify]: Simplify (+ 0) into 0 10.744 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 10.745 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 10.745 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.746 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 10.746 * [backup-simplify]: Simplify (+ 0 0) into 0 10.747 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 10.747 * [taylor]: Taking taylor expansion of 0 in lambda2 10.747 * [backup-simplify]: Simplify 0 into 0 10.747 * [backup-simplify]: Simplify 0 into 0 10.747 * [backup-simplify]: Simplify (+ 0) into 0 10.748 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 10.748 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 10.749 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.749 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 10.749 * [backup-simplify]: Simplify (+ 0 0) into 0 10.749 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 10.749 * [backup-simplify]: Simplify 0 into 0 10.750 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.750 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 10.750 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 10.751 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.751 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 10.751 * [backup-simplify]: Simplify (+ 0 0) into 0 10.752 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 10.752 * [taylor]: Taking taylor expansion of 0 in lambda2 10.752 * [backup-simplify]: Simplify 0 into 0 10.752 * [backup-simplify]: Simplify 0 into 0 10.752 * [backup-simplify]: Simplify 0 into 0 10.753 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.753 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 10.753 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 10.754 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.754 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 10.754 * [backup-simplify]: Simplify (+ 0 0) into 0 10.755 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 10.755 * [backup-simplify]: Simplify 0 into 0 10.755 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.756 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.756 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 10.757 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.757 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.757 * [backup-simplify]: Simplify (+ 0 0) into 0 10.758 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0 10.758 * [taylor]: Taking taylor expansion of 0 in lambda2 10.758 * [backup-simplify]: Simplify 0 into 0 10.758 * [backup-simplify]: Simplify 0 into 0 10.758 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))) into (* (sin lambda2) (sin lambda1)) 10.758 * [backup-simplify]: Simplify (log (exp (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 10.758 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 10.758 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 10.758 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 10.758 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 10.758 * [taylor]: Taking taylor expansion of -1 in lambda2 10.758 * [backup-simplify]: Simplify -1 into -1 10.758 * [taylor]: Taking taylor expansion of lambda1 in lambda2 10.758 * [backup-simplify]: Simplify lambda1 into lambda1 10.758 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 10.759 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 10.759 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 10.759 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 10.759 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 10.759 * [taylor]: Taking taylor expansion of -1 in lambda2 10.759 * [backup-simplify]: Simplify -1 into -1 10.759 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.759 * [backup-simplify]: Simplify 0 into 0 10.759 * [backup-simplify]: Simplify 1 into 1 10.759 * [backup-simplify]: Simplify (/ -1 1) into -1 10.759 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 10.759 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 10.759 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 10.759 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 10.759 * [taylor]: Taking taylor expansion of -1 in lambda1 10.759 * [backup-simplify]: Simplify -1 into -1 10.759 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.759 * [backup-simplify]: Simplify 0 into 0 10.759 * [backup-simplify]: Simplify 1 into 1 10.759 * [backup-simplify]: Simplify (/ -1 1) into -1 10.759 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 10.759 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 10.760 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 10.760 * [taylor]: Taking taylor expansion of -1 in lambda1 10.760 * [backup-simplify]: Simplify -1 into -1 10.760 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.760 * [backup-simplify]: Simplify lambda2 into lambda2 10.760 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 10.760 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 10.760 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 10.760 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 10.760 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 10.760 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 10.760 * [taylor]: Taking taylor expansion of -1 in lambda1 10.760 * [backup-simplify]: Simplify -1 into -1 10.760 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.760 * [backup-simplify]: Simplify 0 into 0 10.760 * [backup-simplify]: Simplify 1 into 1 10.760 * [backup-simplify]: Simplify (/ -1 1) into -1 10.760 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 10.760 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 10.760 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 10.760 * [taylor]: Taking taylor expansion of -1 in lambda1 10.760 * [backup-simplify]: Simplify -1 into -1 10.760 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.760 * [backup-simplify]: Simplify lambda2 into lambda2 10.760 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 10.760 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 10.760 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 10.760 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 10.761 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 10.761 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 10.761 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 10.761 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 10.761 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 10.761 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 10.761 * [taylor]: Taking taylor expansion of -1 in lambda2 10.761 * [backup-simplify]: Simplify -1 into -1 10.761 * [taylor]: Taking taylor expansion of lambda1 in lambda2 10.761 * [backup-simplify]: Simplify lambda1 into lambda1 10.761 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 10.761 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 10.761 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 10.761 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 10.761 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 10.761 * [taylor]: Taking taylor expansion of -1 in lambda2 10.761 * [backup-simplify]: Simplify -1 into -1 10.761 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.761 * [backup-simplify]: Simplify 0 into 0 10.761 * [backup-simplify]: Simplify 1 into 1 10.761 * [backup-simplify]: Simplify (/ -1 1) into -1 10.761 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 10.761 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 10.761 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 10.762 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 10.762 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 10.762 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 10.762 * [backup-simplify]: Simplify (+ 0) into 0 10.762 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 10.762 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 10.763 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.763 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 10.763 * [backup-simplify]: Simplify (+ 0 0) into 0 10.763 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 10.763 * [taylor]: Taking taylor expansion of 0 in lambda2 10.764 * [backup-simplify]: Simplify 0 into 0 10.764 * [backup-simplify]: Simplify 0 into 0 10.764 * [backup-simplify]: Simplify (+ 0) into 0 10.764 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 10.764 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 10.765 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.765 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 10.765 * [backup-simplify]: Simplify (+ 0 0) into 0 10.765 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 10.765 * [backup-simplify]: Simplify 0 into 0 10.766 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.766 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 10.766 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 10.767 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.767 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 10.767 * [backup-simplify]: Simplify (+ 0 0) into 0 10.768 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 10.768 * [taylor]: Taking taylor expansion of 0 in lambda2 10.768 * [backup-simplify]: Simplify 0 into 0 10.768 * [backup-simplify]: Simplify 0 into 0 10.768 * [backup-simplify]: Simplify 0 into 0 10.768 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.769 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 10.769 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 10.770 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.770 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 10.771 * [backup-simplify]: Simplify (+ 0 0) into 0 10.771 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 10.771 * [backup-simplify]: Simplify 0 into 0 10.772 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.773 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.773 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 10.775 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.775 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.776 * [backup-simplify]: Simplify (+ 0 0) into 0 10.777 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 10.777 * [taylor]: Taking taylor expansion of 0 in lambda2 10.777 * [backup-simplify]: Simplify 0 into 0 10.777 * [backup-simplify]: Simplify 0 into 0 10.777 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2)) 10.777 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 10.777 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (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))))) 10.777 * [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 10.777 * [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 10.778 * [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))))) 10.778 * [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 10.778 * [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))))) 10.778 * [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 10.778 * [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))))) 10.778 * [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 10.779 * [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))))) 10.779 * [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 10.779 * [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))))) 10.779 * [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 10.779 * [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))))) 10.779 * [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 10.780 * [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))))) 10.780 * [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 10.780 * [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))))) 10.780 * [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))))) 10.780 * [taylor]: Taking taylor expansion of 0 in phi2 10.780 * [backup-simplify]: Simplify 0 into 0 10.780 * [taylor]: Taking taylor expansion of 0 in lambda1 10.780 * [backup-simplify]: Simplify 0 into 0 10.780 * [taylor]: Taking taylor expansion of 0 in lambda2 10.780 * [backup-simplify]: Simplify 0 into 0 10.780 * [backup-simplify]: Simplify 0 into 0 10.780 * [taylor]: Taking taylor expansion of 0 in lambda1 10.780 * [backup-simplify]: Simplify 0 into 0 10.780 * [taylor]: Taking taylor expansion of 0 in lambda2 10.781 * [backup-simplify]: Simplify 0 into 0 10.781 * [backup-simplify]: Simplify 0 into 0 10.781 * [taylor]: Taking taylor expansion of 0 in lambda2 10.781 * [backup-simplify]: Simplify 0 into 0 10.781 * [backup-simplify]: Simplify 0 into 0 10.781 * [backup-simplify]: Simplify 0 into 0 10.781 * [taylor]: Taking taylor expansion of 0 in phi2 10.781 * [backup-simplify]: Simplify 0 into 0 10.781 * [taylor]: Taking taylor expansion of 0 in lambda1 10.781 * [backup-simplify]: Simplify 0 into 0 10.781 * [taylor]: Taking taylor expansion of 0 in lambda2 10.781 * [backup-simplify]: Simplify 0 into 0 10.781 * [backup-simplify]: Simplify 0 into 0 10.781 * [taylor]: Taking taylor expansion of 0 in lambda1 10.781 * [backup-simplify]: Simplify 0 into 0 10.781 * [taylor]: Taking taylor expansion of 0 in lambda2 10.781 * [backup-simplify]: Simplify 0 into 0 10.781 * [backup-simplify]: Simplify 0 into 0 10.781 * [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))))) 10.782 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (log (exp (* (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)))))))) 10.782 * [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 10.782 * [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 10.782 * [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)))))))) 10.782 * [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 10.782 * [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)))))))) 10.782 * [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 10.783 * [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)))))))) 10.783 * [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 10.783 * [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)))))))) 10.783 * [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 10.784 * [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)))))))) 10.784 * [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 10.784 * [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)))))))) 10.784 * [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 10.785 * [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)))))))) 10.785 * [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 10.785 * [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)))))))) 10.786 * [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)))))))) 10.786 * [taylor]: Taking taylor expansion of 0 in phi2 10.786 * [backup-simplify]: Simplify 0 into 0 10.786 * [taylor]: Taking taylor expansion of 0 in lambda1 10.786 * [backup-simplify]: Simplify 0 into 0 10.786 * [taylor]: Taking taylor expansion of 0 in lambda2 10.786 * [backup-simplify]: Simplify 0 into 0 10.786 * [backup-simplify]: Simplify 0 into 0 10.786 * [taylor]: Taking taylor expansion of 0 in lambda1 10.786 * [backup-simplify]: Simplify 0 into 0 10.786 * [taylor]: Taking taylor expansion of 0 in lambda2 10.786 * [backup-simplify]: Simplify 0 into 0 10.786 * [backup-simplify]: Simplify 0 into 0 10.786 * [taylor]: Taking taylor expansion of 0 in lambda2 10.786 * [backup-simplify]: Simplify 0 into 0 10.786 * [backup-simplify]: Simplify 0 into 0 10.786 * [backup-simplify]: Simplify 0 into 0 10.786 * [taylor]: Taking taylor expansion of 0 in phi2 10.786 * [backup-simplify]: Simplify 0 into 0 10.786 * [taylor]: Taking taylor expansion of 0 in lambda1 10.786 * [backup-simplify]: Simplify 0 into 0 10.786 * [taylor]: Taking taylor expansion of 0 in lambda2 10.786 * [backup-simplify]: Simplify 0 into 0 10.786 * [backup-simplify]: Simplify 0 into 0 10.786 * [taylor]: Taking taylor expansion of 0 in lambda1 10.786 * [backup-simplify]: Simplify 0 into 0 10.786 * [taylor]: Taking taylor expansion of 0 in lambda2 10.786 * [backup-simplify]: Simplify 0 into 0 10.786 * [backup-simplify]: Simplify 0 into 0 10.787 * [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))))) 10.787 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (log (exp (* (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)))))))) 10.787 * [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 10.787 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 10.788 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 10.788 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 10.788 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 10.788 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 10.789 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 10.789 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 10.789 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 10.789 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 10.789 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 10.790 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 10.790 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 10.790 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 10.790 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 10.790 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 10.791 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 10.791 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 10.792 * [taylor]: Taking taylor expansion of 0 in phi2 10.792 * [backup-simplify]: Simplify 0 into 0 10.792 * [taylor]: Taking taylor expansion of 0 in lambda1 10.792 * [backup-simplify]: Simplify 0 into 0 10.792 * [taylor]: Taking taylor expansion of 0 in lambda2 10.792 * [backup-simplify]: Simplify 0 into 0 10.792 * [backup-simplify]: Simplify 0 into 0 10.792 * [taylor]: Taking taylor expansion of 0 in lambda1 10.792 * [backup-simplify]: Simplify 0 into 0 10.792 * [taylor]: Taking taylor expansion of 0 in lambda2 10.792 * [backup-simplify]: Simplify 0 into 0 10.792 * [backup-simplify]: Simplify 0 into 0 10.792 * [taylor]: Taking taylor expansion of 0 in lambda2 10.792 * [backup-simplify]: Simplify 0 into 0 10.792 * [backup-simplify]: Simplify 0 into 0 10.792 * [backup-simplify]: Simplify 0 into 0 10.792 * [taylor]: Taking taylor expansion of 0 in phi2 10.792 * [backup-simplify]: Simplify 0 into 0 10.792 * [taylor]: Taking taylor expansion of 0 in lambda1 10.792 * [backup-simplify]: Simplify 0 into 0 10.792 * [taylor]: Taking taylor expansion of 0 in lambda2 10.792 * [backup-simplify]: Simplify 0 into 0 10.792 * [backup-simplify]: Simplify 0 into 0 10.792 * [taylor]: Taking taylor expansion of 0 in lambda1 10.792 * [backup-simplify]: Simplify 0 into 0 10.792 * [taylor]: Taking taylor expansion of 0 in lambda2 10.792 * [backup-simplify]: Simplify 0 into 0 10.792 * [backup-simplify]: Simplify 0 into 0 10.793 * [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))))) 10.793 * * * * [progress]: [ 3 / 4 ] generating series at (2) 10.793 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (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)))))) 10.793 * [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 10.793 * [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 10.793 * [taylor]: Taking taylor expansion of R in R 10.793 * [backup-simplify]: Simplify 0 into 0 10.793 * [backup-simplify]: Simplify 1 into 1 10.793 * [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 10.794 * [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))))) 10.794 * [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 10.794 * [taylor]: Taking taylor expansion of R in lambda2 10.794 * [backup-simplify]: Simplify R into R 10.794 * [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 10.794 * [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))))) 10.794 * [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 10.794 * [taylor]: Taking taylor expansion of R in lambda1 10.794 * [backup-simplify]: Simplify R into R 10.794 * [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 10.794 * [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))))) 10.794 * [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 10.794 * [taylor]: Taking taylor expansion of R in phi2 10.794 * [backup-simplify]: Simplify R into R 10.794 * [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 10.795 * [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))))) 10.795 * [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 10.795 * [taylor]: Taking taylor expansion of R in phi1 10.795 * [backup-simplify]: Simplify R into R 10.795 * [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 10.795 * [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))))) 10.795 * [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 10.795 * [taylor]: Taking taylor expansion of R in phi1 10.795 * [backup-simplify]: Simplify R into R 10.795 * [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 10.795 * [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))))) 10.796 * [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)))))) 10.796 * [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 10.796 * [taylor]: Taking taylor expansion of R in phi2 10.796 * [backup-simplify]: Simplify R into R 10.796 * [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 10.796 * [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))))) 10.796 * [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)))))) 10.796 * [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 10.796 * [taylor]: Taking taylor expansion of R in lambda1 10.796 * [backup-simplify]: Simplify R into R 10.796 * [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 10.797 * [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))))) 10.797 * [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)))))) 10.797 * [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 10.797 * [taylor]: Taking taylor expansion of R in lambda2 10.797 * [backup-simplify]: Simplify R into R 10.797 * [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 10.797 * [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))))) 10.798 * [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)))))) 10.798 * [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 10.798 * [taylor]: Taking taylor expansion of R in R 10.798 * [backup-simplify]: Simplify 0 into 0 10.798 * [backup-simplify]: Simplify 1 into 1 10.798 * [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 10.798 * [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))))) 10.798 * [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 10.798 * [backup-simplify]: Simplify 0 into 0 10.799 * [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 10.799 * [taylor]: Taking taylor expansion of 0 in phi2 10.799 * [backup-simplify]: Simplify 0 into 0 10.799 * [taylor]: Taking taylor expansion of 0 in lambda1 10.799 * [backup-simplify]: Simplify 0 into 0 10.799 * [taylor]: Taking taylor expansion of 0 in lambda2 10.799 * [backup-simplify]: Simplify 0 into 0 10.799 * [taylor]: Taking taylor expansion of 0 in R 10.799 * [backup-simplify]: Simplify 0 into 0 10.799 * [backup-simplify]: Simplify 0 into 0 10.799 * [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 10.799 * [taylor]: Taking taylor expansion of 0 in lambda1 10.799 * [backup-simplify]: Simplify 0 into 0 10.799 * [taylor]: Taking taylor expansion of 0 in lambda2 10.799 * [backup-simplify]: Simplify 0 into 0 10.799 * [taylor]: Taking taylor expansion of 0 in R 10.799 * [backup-simplify]: Simplify 0 into 0 10.799 * [backup-simplify]: Simplify 0 into 0 10.800 * [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 10.800 * [taylor]: Taking taylor expansion of 0 in lambda2 10.800 * [backup-simplify]: Simplify 0 into 0 10.800 * [taylor]: Taking taylor expansion of 0 in R 10.800 * [backup-simplify]: Simplify 0 into 0 10.800 * [backup-simplify]: Simplify 0 into 0 10.800 * [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 10.800 * [taylor]: Taking taylor expansion of 0 in R 10.800 * [backup-simplify]: Simplify 0 into 0 10.800 * [backup-simplify]: Simplify 0 into 0 10.801 * [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))))) 10.801 * [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))))) 10.802 * [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 10.802 * [taylor]: Taking taylor expansion of 0 in phi2 10.802 * [backup-simplify]: Simplify 0 into 0 10.802 * [taylor]: Taking taylor expansion of 0 in lambda1 10.802 * [backup-simplify]: Simplify 0 into 0 10.802 * [taylor]: Taking taylor expansion of 0 in lambda2 10.802 * [backup-simplify]: Simplify 0 into 0 10.802 * [taylor]: Taking taylor expansion of 0 in R 10.802 * [backup-simplify]: Simplify 0 into 0 10.802 * [backup-simplify]: Simplify 0 into 0 10.802 * [taylor]: Taking taylor expansion of 0 in lambda1 10.802 * [backup-simplify]: Simplify 0 into 0 10.802 * [taylor]: Taking taylor expansion of 0 in lambda2 10.802 * [backup-simplify]: Simplify 0 into 0 10.802 * [taylor]: Taking taylor expansion of 0 in R 10.802 * [backup-simplify]: Simplify 0 into 0 10.802 * [backup-simplify]: Simplify 0 into 0 10.803 * [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 10.803 * [taylor]: Taking taylor expansion of 0 in lambda1 10.803 * [backup-simplify]: Simplify 0 into 0 10.803 * [taylor]: Taking taylor expansion of 0 in lambda2 10.803 * [backup-simplify]: Simplify 0 into 0 10.803 * [taylor]: Taking taylor expansion of 0 in R 10.803 * [backup-simplify]: Simplify 0 into 0 10.803 * [backup-simplify]: Simplify 0 into 0 10.803 * [taylor]: Taking taylor expansion of 0 in lambda2 10.803 * [backup-simplify]: Simplify 0 into 0 10.803 * [taylor]: Taking taylor expansion of 0 in R 10.803 * [backup-simplify]: Simplify 0 into 0 10.803 * [backup-simplify]: Simplify 0 into 0 10.803 * [taylor]: Taking taylor expansion of 0 in lambda2 10.803 * [backup-simplify]: Simplify 0 into 0 10.803 * [taylor]: Taking taylor expansion of 0 in R 10.803 * [backup-simplify]: Simplify 0 into 0 10.803 * [backup-simplify]: Simplify 0 into 0 10.804 * [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 10.804 * [taylor]: Taking taylor expansion of 0 in lambda2 10.804 * [backup-simplify]: Simplify 0 into 0 10.804 * [taylor]: Taking taylor expansion of 0 in R 10.804 * [backup-simplify]: Simplify 0 into 0 10.804 * [backup-simplify]: Simplify 0 into 0 10.805 * [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)))))) 10.806 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (log (exp (* (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) 10.806 * [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 10.806 * [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 10.806 * [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 10.807 * [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)))))))) 10.807 * [taylor]: Taking taylor expansion of R in R 10.807 * [backup-simplify]: Simplify 0 into 0 10.807 * [backup-simplify]: Simplify 1 into 1 10.808 * [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)))))))) 10.808 * [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 10.808 * [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 10.809 * [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)))))))) 10.809 * [taylor]: Taking taylor expansion of R in lambda2 10.809 * [backup-simplify]: Simplify R into R 10.810 * [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) 10.810 * [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 10.810 * [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 10.810 * [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)))))))) 10.810 * [taylor]: Taking taylor expansion of R in lambda1 10.811 * [backup-simplify]: Simplify R into R 10.811 * [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) 10.811 * [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 10.811 * [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 10.812 * [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)))))))) 10.812 * [taylor]: Taking taylor expansion of R in phi2 10.812 * [backup-simplify]: Simplify R into R 10.813 * [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) 10.813 * [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 10.813 * [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 10.814 * [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)))))))) 10.814 * [taylor]: Taking taylor expansion of R in phi1 10.814 * [backup-simplify]: Simplify R into R 10.815 * [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) 10.815 * [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 10.815 * [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 10.816 * [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)))))))) 10.816 * [taylor]: Taking taylor expansion of R in phi1 10.816 * [backup-simplify]: Simplify R into R 10.817 * [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) 10.817 * [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 10.817 * [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 10.817 * [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)))))))) 10.818 * [taylor]: Taking taylor expansion of R in phi2 10.818 * [backup-simplify]: Simplify R into R 10.818 * [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) 10.818 * [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 10.818 * [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 10.819 * [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)))))))) 10.819 * [taylor]: Taking taylor expansion of R in lambda1 10.819 * [backup-simplify]: Simplify R into R 10.820 * [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) 10.820 * [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 10.820 * [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 10.821 * [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)))))))) 10.821 * [taylor]: Taking taylor expansion of R in lambda2 10.821 * [backup-simplify]: Simplify R into R 10.821 * [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) 10.821 * [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 10.821 * [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 10.822 * [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)))))))) 10.822 * [taylor]: Taking taylor expansion of R in R 10.822 * [backup-simplify]: Simplify 0 into 0 10.822 * [backup-simplify]: Simplify 1 into 1 10.822 * [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)))))))) 10.823 * [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)))))))) 10.823 * [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 10.823 * [taylor]: Taking taylor expansion of 0 in phi2 10.823 * [backup-simplify]: Simplify 0 into 0 10.823 * [taylor]: Taking taylor expansion of 0 in lambda1 10.823 * [backup-simplify]: Simplify 0 into 0 10.823 * [taylor]: Taking taylor expansion of 0 in lambda2 10.823 * [backup-simplify]: Simplify 0 into 0 10.823 * [taylor]: Taking taylor expansion of 0 in R 10.823 * [backup-simplify]: Simplify 0 into 0 10.824 * [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 10.824 * [taylor]: Taking taylor expansion of 0 in lambda1 10.824 * [backup-simplify]: Simplify 0 into 0 10.824 * [taylor]: Taking taylor expansion of 0 in lambda2 10.824 * [backup-simplify]: Simplify 0 into 0 10.824 * [taylor]: Taking taylor expansion of 0 in R 10.824 * [backup-simplify]: Simplify 0 into 0 10.824 * [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 10.825 * [taylor]: Taking taylor expansion of 0 in lambda2 10.825 * [backup-simplify]: Simplify 0 into 0 10.825 * [taylor]: Taking taylor expansion of 0 in R 10.825 * [backup-simplify]: Simplify 0 into 0 10.825 * [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 10.825 * [taylor]: Taking taylor expansion of 0 in R 10.825 * [backup-simplify]: Simplify 0 into 0 10.826 * [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 10.826 * [backup-simplify]: Simplify 0 into 0 10.827 * [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 10.827 * [taylor]: Taking taylor expansion of 0 in phi2 10.827 * [backup-simplify]: Simplify 0 into 0 10.827 * [taylor]: Taking taylor expansion of 0 in lambda1 10.827 * [backup-simplify]: Simplify 0 into 0 10.827 * [taylor]: Taking taylor expansion of 0 in lambda2 10.827 * [backup-simplify]: Simplify 0 into 0 10.827 * [taylor]: Taking taylor expansion of 0 in R 10.827 * [backup-simplify]: Simplify 0 into 0 10.827 * [taylor]: Taking taylor expansion of 0 in lambda1 10.827 * [backup-simplify]: Simplify 0 into 0 10.827 * [taylor]: Taking taylor expansion of 0 in lambda2 10.827 * [backup-simplify]: Simplify 0 into 0 10.827 * [taylor]: Taking taylor expansion of 0 in R 10.827 * [backup-simplify]: Simplify 0 into 0 10.828 * [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 10.828 * [taylor]: Taking taylor expansion of 0 in lambda1 10.828 * [backup-simplify]: Simplify 0 into 0 10.828 * [taylor]: Taking taylor expansion of 0 in lambda2 10.828 * [backup-simplify]: Simplify 0 into 0 10.828 * [taylor]: Taking taylor expansion of 0 in R 10.828 * [backup-simplify]: Simplify 0 into 0 10.828 * [taylor]: Taking taylor expansion of 0 in lambda2 10.828 * [backup-simplify]: Simplify 0 into 0 10.828 * [taylor]: Taking taylor expansion of 0 in R 10.828 * [backup-simplify]: Simplify 0 into 0 10.828 * [taylor]: Taking taylor expansion of 0 in lambda2 10.828 * [backup-simplify]: Simplify 0 into 0 10.828 * [taylor]: Taking taylor expansion of 0 in R 10.828 * [backup-simplify]: Simplify 0 into 0 10.829 * [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 10.829 * [taylor]: Taking taylor expansion of 0 in lambda2 10.829 * [backup-simplify]: Simplify 0 into 0 10.829 * [taylor]: Taking taylor expansion of 0 in R 10.829 * [backup-simplify]: Simplify 0 into 0 10.829 * [taylor]: Taking taylor expansion of 0 in R 10.829 * [backup-simplify]: Simplify 0 into 0 10.829 * [taylor]: Taking taylor expansion of 0 in R 10.829 * [backup-simplify]: Simplify 0 into 0 10.829 * [taylor]: Taking taylor expansion of 0 in R 10.829 * [backup-simplify]: Simplify 0 into 0 10.829 * [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 10.829 * [taylor]: Taking taylor expansion of 0 in R 10.829 * [backup-simplify]: Simplify 0 into 0 10.829 * [backup-simplify]: Simplify 0 into 0 10.829 * [backup-simplify]: Simplify 0 into 0 10.829 * [backup-simplify]: Simplify 0 into 0 10.829 * [backup-simplify]: Simplify 0 into 0 10.831 * [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 10.831 * [backup-simplify]: Simplify 0 into 0 10.833 * [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) 10.834 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (log (exp (* (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)) 10.834 * [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 10.834 * [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 10.834 * [taylor]: Taking taylor expansion of -1 in R 10.834 * [backup-simplify]: Simplify -1 into -1 10.834 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 10.834 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 10.834 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 10.834 * [taylor]: Taking taylor expansion of R in R 10.834 * [backup-simplify]: Simplify 0 into 0 10.834 * [backup-simplify]: Simplify 1 into 1 10.835 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 10.835 * [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 10.835 * [taylor]: Taking taylor expansion of -1 in lambda2 10.835 * [backup-simplify]: Simplify -1 into -1 10.835 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 10.835 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 10.835 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 10.835 * [taylor]: Taking taylor expansion of R in lambda2 10.835 * [backup-simplify]: Simplify R into R 10.836 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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) 10.836 * [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 10.836 * [taylor]: Taking taylor expansion of -1 in lambda1 10.836 * [backup-simplify]: Simplify -1 into -1 10.836 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 10.836 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 10.836 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 10.836 * [taylor]: Taking taylor expansion of R in lambda1 10.836 * [backup-simplify]: Simplify R into R 10.837 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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) 10.837 * [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 10.837 * [taylor]: Taking taylor expansion of -1 in phi2 10.837 * [backup-simplify]: Simplify -1 into -1 10.837 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 10.837 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 10.837 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 10.837 * [taylor]: Taking taylor expansion of R in phi2 10.837 * [backup-simplify]: Simplify R into R 10.838 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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) 10.838 * [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 10.838 * [taylor]: Taking taylor expansion of -1 in phi1 10.838 * [backup-simplify]: Simplify -1 into -1 10.838 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 10.838 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 10.838 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 10.838 * [taylor]: Taking taylor expansion of R in phi1 10.838 * [backup-simplify]: Simplify R into R 10.839 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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) 10.839 * [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 10.839 * [taylor]: Taking taylor expansion of -1 in phi1 10.839 * [backup-simplify]: Simplify -1 into -1 10.839 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 10.839 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 10.839 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 10.839 * [taylor]: Taking taylor expansion of R in phi1 10.839 * [backup-simplify]: Simplify R into R 10.840 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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) 10.840 * [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)) 10.840 * [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 10.840 * [taylor]: Taking taylor expansion of -1 in phi2 10.840 * [backup-simplify]: Simplify -1 into -1 10.840 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 10.840 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 10.841 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 10.841 * [taylor]: Taking taylor expansion of R in phi2 10.841 * [backup-simplify]: Simplify R into R 10.841 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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) 10.842 * [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)) 10.842 * [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 10.842 * [taylor]: Taking taylor expansion of -1 in lambda1 10.842 * [backup-simplify]: Simplify -1 into -1 10.842 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1 10.842 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 10.842 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 10.842 * [taylor]: Taking taylor expansion of R in lambda1 10.842 * [backup-simplify]: Simplify R into R 10.843 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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) 10.843 * [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)) 10.843 * [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 10.843 * [taylor]: Taking taylor expansion of -1 in lambda2 10.843 * [backup-simplify]: Simplify -1 into -1 10.843 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in lambda2 10.843 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 10.844 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 10.844 * [taylor]: Taking taylor expansion of R in lambda2 10.844 * [backup-simplify]: Simplify R into R 10.844 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 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) 10.845 * [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)) 10.845 * [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 10.845 * [taylor]: Taking taylor expansion of -1 in R 10.845 * [backup-simplify]: Simplify -1 into -1 10.845 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 10.845 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 10.845 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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)))))))) 10.845 * [taylor]: Taking taylor expansion of R in R 10.845 * [backup-simplify]: Simplify 0 into 0 10.845 * [backup-simplify]: Simplify 1 into 1 10.846 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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)))))))) 10.847 * [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))))))))) 10.847 * [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))))))))) 10.848 * [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 10.849 * [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 10.849 * [taylor]: Taking taylor expansion of 0 in phi2 10.849 * [backup-simplify]: Simplify 0 into 0 10.849 * [taylor]: Taking taylor expansion of 0 in lambda1 10.849 * [backup-simplify]: Simplify 0 into 0 10.849 * [taylor]: Taking taylor expansion of 0 in lambda2 10.849 * [backup-simplify]: Simplify 0 into 0 10.849 * [taylor]: Taking taylor expansion of 0 in R 10.849 * [backup-simplify]: Simplify 0 into 0 10.850 * [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 10.851 * [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 10.851 * [taylor]: Taking taylor expansion of 0 in lambda1 10.851 * [backup-simplify]: Simplify 0 into 0 10.851 * [taylor]: Taking taylor expansion of 0 in lambda2 10.851 * [backup-simplify]: Simplify 0 into 0 10.851 * [taylor]: Taking taylor expansion of 0 in R 10.851 * [backup-simplify]: Simplify 0 into 0 10.851 * [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 10.852 * [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 10.852 * [taylor]: Taking taylor expansion of 0 in lambda2 10.852 * [backup-simplify]: Simplify 0 into 0 10.852 * [taylor]: Taking taylor expansion of 0 in R 10.852 * [backup-simplify]: Simplify 0 into 0 10.853 * [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 10.853 * [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 10.853 * [taylor]: Taking taylor expansion of 0 in R 10.854 * [backup-simplify]: Simplify 0 into 0 10.855 * [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 10.855 * [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 10.855 * [backup-simplify]: Simplify 0 into 0 10.856 * [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 10.857 * [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 10.857 * [taylor]: Taking taylor expansion of 0 in phi2 10.857 * [backup-simplify]: Simplify 0 into 0 10.857 * [taylor]: Taking taylor expansion of 0 in lambda1 10.857 * [backup-simplify]: Simplify 0 into 0 10.857 * [taylor]: Taking taylor expansion of 0 in lambda2 10.857 * [backup-simplify]: Simplify 0 into 0 10.857 * [taylor]: Taking taylor expansion of 0 in R 10.857 * [backup-simplify]: Simplify 0 into 0 10.857 * [taylor]: Taking taylor expansion of 0 in lambda1 10.857 * [backup-simplify]: Simplify 0 into 0 10.857 * [taylor]: Taking taylor expansion of 0 in lambda2 10.857 * [backup-simplify]: Simplify 0 into 0 10.857 * [taylor]: Taking taylor expansion of 0 in R 10.857 * [backup-simplify]: Simplify 0 into 0 10.858 * [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 10.859 * [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 10.859 * [taylor]: Taking taylor expansion of 0 in lambda1 10.859 * [backup-simplify]: Simplify 0 into 0 10.859 * [taylor]: Taking taylor expansion of 0 in lambda2 10.859 * [backup-simplify]: Simplify 0 into 0 10.859 * [taylor]: Taking taylor expansion of 0 in R 10.859 * [backup-simplify]: Simplify 0 into 0 10.859 * [taylor]: Taking taylor expansion of 0 in lambda2 10.859 * [backup-simplify]: Simplify 0 into 0 10.859 * [taylor]: Taking taylor expansion of 0 in R 10.859 * [backup-simplify]: Simplify 0 into 0 10.859 * [taylor]: Taking taylor expansion of 0 in lambda2 10.859 * [backup-simplify]: Simplify 0 into 0 10.859 * [taylor]: Taking taylor expansion of 0 in R 10.859 * [backup-simplify]: Simplify 0 into 0 10.860 * [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 10.861 * [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 10.861 * [taylor]: Taking taylor expansion of 0 in lambda2 10.861 * [backup-simplify]: Simplify 0 into 0 10.861 * [taylor]: Taking taylor expansion of 0 in R 10.861 * [backup-simplify]: Simplify 0 into 0 10.861 * [taylor]: Taking taylor expansion of 0 in R 10.861 * [backup-simplify]: Simplify 0 into 0 10.861 * [taylor]: Taking taylor expansion of 0 in R 10.861 * [backup-simplify]: Simplify 0 into 0 10.861 * [taylor]: Taking taylor expansion of 0 in R 10.861 * [backup-simplify]: Simplify 0 into 0 10.862 * [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 10.864 * [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 10.864 * [taylor]: Taking taylor expansion of 0 in R 10.864 * [backup-simplify]: Simplify 0 into 0 10.864 * [backup-simplify]: Simplify 0 into 0 10.864 * [backup-simplify]: Simplify 0 into 0 10.864 * [backup-simplify]: Simplify 0 into 0 10.864 * [backup-simplify]: Simplify 0 into 0 10.865 * [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 10.866 * [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 10.866 * [backup-simplify]: Simplify 0 into 0 10.868 * [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)))))) 10.868 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 10.868 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2)) 10.868 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 10.868 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 10.868 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 10.868 * [taylor]: Taking taylor expansion of phi1 in phi2 10.868 * [backup-simplify]: Simplify phi1 into phi1 10.868 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 10.868 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 10.868 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 10.868 * [taylor]: Taking taylor expansion of phi2 in phi2 10.868 * [backup-simplify]: Simplify 0 into 0 10.868 * [backup-simplify]: Simplify 1 into 1 10.868 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 10.868 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 10.868 * [taylor]: Taking taylor expansion of phi1 in phi1 10.868 * [backup-simplify]: Simplify 0 into 0 10.868 * [backup-simplify]: Simplify 1 into 1 10.868 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 10.868 * [taylor]: Taking taylor expansion of phi2 in phi1 10.868 * [backup-simplify]: Simplify phi2 into phi2 10.868 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 10.868 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 10.868 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 10.868 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 10.868 * [taylor]: Taking taylor expansion of phi1 in phi1 10.868 * [backup-simplify]: Simplify 0 into 0 10.868 * [backup-simplify]: Simplify 1 into 1 10.868 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 10.868 * [taylor]: Taking taylor expansion of phi2 in phi1 10.868 * [backup-simplify]: Simplify phi2 into phi2 10.868 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 10.868 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 10.868 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 10.868 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 10.869 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 10.869 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 10.869 * [taylor]: Taking taylor expansion of 0 in phi2 10.869 * [backup-simplify]: Simplify 0 into 0 10.869 * [backup-simplify]: Simplify 0 into 0 10.869 * [backup-simplify]: Simplify (+ 0) into 0 10.869 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 10.870 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.870 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 10.870 * [backup-simplify]: Simplify (+ 0 0) into 0 10.871 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 10.871 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 10.871 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 10.871 * [taylor]: Taking taylor expansion of phi2 in phi2 10.871 * [backup-simplify]: Simplify 0 into 0 10.871 * [backup-simplify]: Simplify 1 into 1 10.871 * [backup-simplify]: Simplify 0 into 0 10.871 * [backup-simplify]: Simplify 0 into 0 10.872 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.872 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 10.873 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.873 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 10.873 * [backup-simplify]: Simplify (+ 0 0) into 0 10.874 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.874 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 10.874 * [taylor]: Taking taylor expansion of 0 in phi2 10.874 * [backup-simplify]: Simplify 0 into 0 10.874 * [backup-simplify]: Simplify 0 into 0 10.875 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 10.875 * [backup-simplify]: Simplify 1 into 1 10.875 * [backup-simplify]: Simplify 0 into 0 10.875 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.876 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.877 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.877 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.877 * [backup-simplify]: Simplify (+ 0 0) into 0 10.878 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 10.879 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 10.879 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 10.879 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 10.879 * [taylor]: Taking taylor expansion of 1/6 in phi2 10.879 * [backup-simplify]: Simplify 1/6 into 1/6 10.879 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 10.879 * [taylor]: Taking taylor expansion of phi2 in phi2 10.879 * [backup-simplify]: Simplify 0 into 0 10.879 * [backup-simplify]: Simplify 1 into 1 10.879 * [backup-simplify]: Simplify (* 1/6 0) into 0 10.880 * [backup-simplify]: Simplify (- 0) into 0 10.880 * [backup-simplify]: Simplify 0 into 0 10.880 * [backup-simplify]: Simplify 0 into 0 10.880 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.880 * [backup-simplify]: Simplify 0 into 0 10.880 * [backup-simplify]: Simplify 0 into 0 10.882 * [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 10.882 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.883 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 10.884 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 10.884 * [backup-simplify]: Simplify (+ 0 0) into 0 10.885 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 10.886 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 10.886 * [taylor]: Taking taylor expansion of 0 in phi2 10.886 * [backup-simplify]: Simplify 0 into 0 10.886 * [backup-simplify]: Simplify 0 into 0 10.886 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2) 10.886 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 10.886 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0 10.886 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 10.886 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 10.886 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 10.886 * [taylor]: Taking taylor expansion of phi2 in phi2 10.886 * [backup-simplify]: Simplify 0 into 0 10.886 * [backup-simplify]: Simplify 1 into 1 10.887 * [backup-simplify]: Simplify (/ 1 1) into 1 10.887 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 10.887 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 10.887 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 10.887 * [taylor]: Taking taylor expansion of phi1 in phi2 10.887 * [backup-simplify]: Simplify phi1 into phi1 10.887 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 10.887 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 10.887 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 10.887 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 10.887 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 10.887 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 10.887 * [taylor]: Taking taylor expansion of phi2 in phi1 10.887 * [backup-simplify]: Simplify phi2 into phi2 10.887 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 10.887 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 10.887 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 10.887 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 10.887 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 10.887 * [taylor]: Taking taylor expansion of phi1 in phi1 10.887 * [backup-simplify]: Simplify 0 into 0 10.887 * [backup-simplify]: Simplify 1 into 1 10.887 * [backup-simplify]: Simplify (/ 1 1) into 1 10.887 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 10.887 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 10.887 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 10.888 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 10.888 * [taylor]: Taking taylor expansion of phi2 in phi1 10.888 * [backup-simplify]: Simplify phi2 into phi2 10.888 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 10.888 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 10.888 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 10.888 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 10.888 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 10.888 * [taylor]: Taking taylor expansion of phi1 in phi1 10.888 * [backup-simplify]: Simplify 0 into 0 10.888 * [backup-simplify]: Simplify 1 into 1 10.888 * [backup-simplify]: Simplify (/ 1 1) into 1 10.888 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 10.888 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 10.888 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 10.888 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 10.888 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 10.888 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 10.888 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 10.888 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 10.888 * [taylor]: Taking taylor expansion of phi2 in phi2 10.888 * [backup-simplify]: Simplify 0 into 0 10.888 * [backup-simplify]: Simplify 1 into 1 10.889 * [backup-simplify]: Simplify (/ 1 1) into 1 10.889 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 10.889 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 10.889 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 10.889 * [taylor]: Taking taylor expansion of phi1 in phi2 10.889 * [backup-simplify]: Simplify phi1 into phi1 10.889 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 10.889 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 10.889 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 10.889 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 10.889 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 10.889 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 10.889 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 10.889 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 10.890 * [backup-simplify]: Simplify (+ 0) into 0 10.890 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 10.890 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 10.890 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.891 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 10.891 * [backup-simplify]: Simplify (+ 0 0) into 0 10.891 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 10.891 * [taylor]: Taking taylor expansion of 0 in phi2 10.891 * [backup-simplify]: Simplify 0 into 0 10.891 * [backup-simplify]: Simplify 0 into 0 10.891 * [backup-simplify]: Simplify (+ 0) into 0 10.892 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 10.892 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 10.892 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.893 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 10.893 * [backup-simplify]: Simplify (+ 0 0) into 0 10.893 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 10.893 * [backup-simplify]: Simplify 0 into 0 10.893 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.894 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 10.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 10.894 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.895 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 10.895 * [backup-simplify]: Simplify (+ 0 0) into 0 10.895 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 10.895 * [taylor]: Taking taylor expansion of 0 in phi2 10.895 * [backup-simplify]: Simplify 0 into 0 10.895 * [backup-simplify]: Simplify 0 into 0 10.895 * [backup-simplify]: Simplify 0 into 0 10.896 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.896 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 10.897 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 10.897 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.897 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 10.898 * [backup-simplify]: Simplify (+ 0 0) into 0 10.898 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 10.898 * [backup-simplify]: Simplify 0 into 0 10.898 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.899 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 10.900 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.900 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.901 * [backup-simplify]: Simplify (+ 0 0) into 0 10.901 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0 10.901 * [taylor]: Taking taylor expansion of 0 in phi2 10.901 * [backup-simplify]: Simplify 0 into 0 10.901 * [backup-simplify]: Simplify 0 into 0 10.901 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2)) 10.901 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 10.902 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 10.902 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 10.902 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 10.902 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 10.902 * [taylor]: Taking taylor expansion of -1 in phi2 10.902 * [backup-simplify]: Simplify -1 into -1 10.902 * [taylor]: Taking taylor expansion of phi1 in phi2 10.902 * [backup-simplify]: Simplify phi1 into phi1 10.902 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 10.902 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 10.902 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 10.902 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 10.902 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 10.902 * [taylor]: Taking taylor expansion of -1 in phi2 10.902 * [backup-simplify]: Simplify -1 into -1 10.902 * [taylor]: Taking taylor expansion of phi2 in phi2 10.902 * [backup-simplify]: Simplify 0 into 0 10.902 * [backup-simplify]: Simplify 1 into 1 10.902 * [backup-simplify]: Simplify (/ -1 1) into -1 10.902 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 10.902 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 10.902 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 10.902 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 10.902 * [taylor]: Taking taylor expansion of -1 in phi1 10.902 * [backup-simplify]: Simplify -1 into -1 10.902 * [taylor]: Taking taylor expansion of phi1 in phi1 10.902 * [backup-simplify]: Simplify 0 into 0 10.902 * [backup-simplify]: Simplify 1 into 1 10.903 * [backup-simplify]: Simplify (/ -1 1) into -1 10.903 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 10.903 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 10.903 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 10.903 * [taylor]: Taking taylor expansion of -1 in phi1 10.903 * [backup-simplify]: Simplify -1 into -1 10.903 * [taylor]: Taking taylor expansion of phi2 in phi1 10.903 * [backup-simplify]: Simplify phi2 into phi2 10.903 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 10.903 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 10.903 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 10.903 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 10.903 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 10.903 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 10.903 * [taylor]: Taking taylor expansion of -1 in phi1 10.903 * [backup-simplify]: Simplify -1 into -1 10.903 * [taylor]: Taking taylor expansion of phi1 in phi1 10.903 * [backup-simplify]: Simplify 0 into 0 10.903 * [backup-simplify]: Simplify 1 into 1 10.903 * [backup-simplify]: Simplify (/ -1 1) into -1 10.903 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 10.903 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 10.903 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 10.903 * [taylor]: Taking taylor expansion of -1 in phi1 10.903 * [backup-simplify]: Simplify -1 into -1 10.903 * [taylor]: Taking taylor expansion of phi2 in phi1 10.903 * [backup-simplify]: Simplify phi2 into phi2 10.904 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 10.904 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 10.904 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 10.904 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 10.904 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 10.904 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 10.904 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 10.904 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 10.904 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 10.904 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 10.904 * [taylor]: Taking taylor expansion of -1 in phi2 10.904 * [backup-simplify]: Simplify -1 into -1 10.904 * [taylor]: Taking taylor expansion of phi1 in phi2 10.904 * [backup-simplify]: Simplify phi1 into phi1 10.904 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 10.904 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 10.904 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 10.904 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 10.904 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 10.904 * [taylor]: Taking taylor expansion of -1 in phi2 10.904 * [backup-simplify]: Simplify -1 into -1 10.904 * [taylor]: Taking taylor expansion of phi2 in phi2 10.904 * [backup-simplify]: Simplify 0 into 0 10.904 * [backup-simplify]: Simplify 1 into 1 10.905 * [backup-simplify]: Simplify (/ -1 1) into -1 10.905 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 10.905 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 10.905 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 10.905 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 10.905 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 10.905 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 10.906 * [backup-simplify]: Simplify (+ 0) into 0 10.906 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 10.906 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 10.907 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.908 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 10.908 * [backup-simplify]: Simplify (+ 0 0) into 0 10.908 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 10.908 * [taylor]: Taking taylor expansion of 0 in phi2 10.908 * [backup-simplify]: Simplify 0 into 0 10.908 * [backup-simplify]: Simplify 0 into 0 10.909 * [backup-simplify]: Simplify (+ 0) into 0 10.909 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 10.910 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 10.910 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.911 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 10.911 * [backup-simplify]: Simplify (+ 0 0) into 0 10.911 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 10.911 * [backup-simplify]: Simplify 0 into 0 10.912 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.913 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 10.913 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 10.914 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.915 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 10.915 * [backup-simplify]: Simplify (+ 0 0) into 0 10.916 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 10.916 * [taylor]: Taking taylor expansion of 0 in phi2 10.916 * [backup-simplify]: Simplify 0 into 0 10.916 * [backup-simplify]: Simplify 0 into 0 10.916 * [backup-simplify]: Simplify 0 into 0 10.917 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.918 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 10.918 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 10.918 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.919 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 10.919 * [backup-simplify]: Simplify (+ 0 0) into 0 10.920 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 10.920 * [backup-simplify]: Simplify 0 into 0 10.921 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.922 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.922 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 10.924 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.925 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.925 * [backup-simplify]: Simplify (+ 0 0) into 0 10.926 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 10.926 * [taylor]: Taking taylor expansion of 0 in phi2 10.926 * [backup-simplify]: Simplify 0 into 0 10.926 * [backup-simplify]: Simplify 0 into 0 10.926 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 10.926 * * * [progress]: simplifying candidates 10.926 * * * * [progress]: [ 1 / 75 ] simplifiying candidate # 10.927 * [simplify]: Simplifying (log (* (cbrt (exp (* (sin lambda1) (sin lambda2)))) (cbrt (exp (* (sin lambda1) (sin lambda2)))))) 10.927 * * [simplify]: iters left: 6 (9 enodes) 10.931 * * [simplify]: iters left: 5 (32 enodes) 10.941 * * [simplify]: iters left: 4 (42 enodes) 10.954 * * [simplify]: iters left: 3 (55 enodes) 10.971 * * [simplify]: iters left: 2 (82 enodes) 10.999 * * [simplify]: iters left: 1 (147 enodes) 11.043 * * [simplify]: Extracting #0: cost 1 inf + 0 11.044 * * [simplify]: Extracting #1: cost 4 inf + 0 11.044 * * [simplify]: Extracting #2: cost 7 inf + 0 11.044 * * [simplify]: Extracting #3: cost 9 inf + 0 11.044 * * [simplify]: Extracting #4: cost 29 inf + 0 11.044 * * [simplify]: Extracting #5: cost 81 inf + 1 11.044 * * [simplify]: Extracting #6: cost 88 inf + 728 11.045 * * [simplify]: Extracting #7: cost 51 inf + 7790 11.048 * * [simplify]: Extracting #8: cost 10 inf + 27988 11.051 * * [simplify]: Extracting #9: cost 0 inf + 35489 11.055 * * [simplify]: Extracting #10: cost 0 inf + 35027 11.061 * * [simplify]: Extracting #11: cost 0 inf + 34987 11.065 * [simplify]: Simplified to (log (* (cbrt (exp (* (sin lambda2) (sin lambda1)))) (cbrt (exp (* (sin lambda2) (sin lambda1)))))) 11.065 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (+ (log (* (cbrt (exp (* (sin lambda2) (sin lambda1)))) (cbrt (exp (* (sin lambda2) (sin lambda1)))))) (log (cbrt (exp (* (sin lambda1) (sin lambda2)))))))))) R)) 11.065 * * * * [progress]: [ 2 / 75 ] simplifiying candidate # 11.065 * [simplify]: Simplifying (log (sqrt (exp (* (sin lambda1) (sin lambda2))))) 11.065 * * [simplify]: iters left: 6 (8 enodes) 11.067 * * [simplify]: iters left: 5 (27 enodes) 11.072 * * [simplify]: iters left: 4 (35 enodes) 11.083 * * [simplify]: iters left: 3 (49 enodes) 11.097 * * [simplify]: iters left: 2 (76 enodes) 11.122 * * [simplify]: iters left: 1 (141 enodes) 11.176 * * [simplify]: Extracting #0: cost 1 inf + 0 11.176 * * [simplify]: Extracting #1: cost 3 inf + 0 11.176 * * [simplify]: Extracting #2: cost 6 inf + 0 11.176 * * [simplify]: Extracting #3: cost 31 inf + 0 11.176 * * [simplify]: Extracting #4: cost 85 inf + 1 11.177 * * [simplify]: Extracting #5: cost 85 inf + 1064 11.179 * * [simplify]: Extracting #6: cost 53 inf + 5478 11.182 * * [simplify]: Extracting #7: cost 20 inf + 18813 11.189 * * [simplify]: Extracting #8: cost 1 inf + 30565 11.196 * * [simplify]: Extracting #9: cost 0 inf + 30837 11.206 * [simplify]: Simplified to (log (sqrt (exp (* (sin lambda2) (sin lambda1))))) 11.206 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (+ (log (sqrt (exp (* (sin lambda2) (sin lambda1))))) (log (sqrt (exp (* (sin lambda1) (sin lambda2)))))))))) R)) 11.207 * * * * [progress]: [ 3 / 75 ] simplifiying candidate # 11.207 * [simplify]: Simplifying (log 1) 11.207 * * [simplify]: iters left: 1 (2 enodes) 11.210 * * [simplify]: Extracting #0: cost 1 inf + 0 11.210 * * [simplify]: Extracting #1: cost 0 inf + 1 11.210 * [simplify]: Simplified to 0 11.210 * [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)) (+ 0 (log (exp (* (sin lambda1) (sin lambda2))))))))) R)) 11.210 * * * * [progress]: [ 4 / 75 ] simplifiying candidate # 11.210 * [simplify]: Simplifying (sin lambda2) 11.210 * * [simplify]: iters left: 1 (2 enodes) 11.211 * * [simplify]: Extracting #0: cost 1 inf + 0 11.211 * * [simplify]: Extracting #1: cost 3 inf + 0 11.211 * * [simplify]: Extracting #2: cost 2 inf + 1 11.211 * * [simplify]: Extracting #3: cost 0 inf + 123 11.211 * [simplify]: Simplified to (sin lambda2) 11.211 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (log (exp (sin lambda1)))))))) R)) 11.212 * * * * [progress]: [ 5 / 75 ] simplifiying candidate # 11.212 * * * * [progress]: [ 6 / 75 ] simplifiying candidate # 11.212 * [simplify]: Simplifying (sin lambda2) 11.212 * * [simplify]: iters left: 1 (2 enodes) 11.213 * * [simplify]: Extracting #0: cost 1 inf + 0 11.213 * * [simplify]: Extracting #1: cost 3 inf + 0 11.213 * * [simplify]: Extracting #2: cost 2 inf + 1 11.213 * * [simplify]: Extracting #3: cost 0 inf + 123 11.213 * [simplify]: Simplified to (sin lambda2) 11.213 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (log (exp (sin lambda1)))))))) R)) 11.213 * * * * [progress]: [ 7 / 75 ] simplifiying candidate # 11.214 * * * * [progress]: [ 8 / 75 ] simplifiying candidate # 11.214 * [simplify]: Simplifying (sin lambda1) 11.214 * * [simplify]: iters left: 1 (2 enodes) 11.215 * * [simplify]: Extracting #0: cost 1 inf + 0 11.215 * * [simplify]: Extracting #1: cost 3 inf + 0 11.215 * * [simplify]: Extracting #2: cost 2 inf + 1 11.215 * * [simplify]: Extracting #3: cost 0 inf + 123 11.215 * [simplify]: Simplified to (sin lambda1) 11.215 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 11.215 * * * * [progress]: [ 9 / 75 ] simplifiying candidate # 11.215 * * * * [progress]: [ 10 / 75 ] simplifiying candidate # 11.215 * * * * [progress]: [ 11 / 75 ] simplifiying candidate # 11.215 * * * * [progress]: [ 12 / 75 ] simplifiying candidate # 11.215 * * * * [progress]: [ 13 / 75 ] simplifiying candidate # 11.216 * * * * [progress]: [ 14 / 75 ] simplifiying candidate # 11.216 * * * * [progress]: [ 15 / 75 ] simplifiying candidate #real (real->posit16 (log (exp (* (sin lambda1) (sin lambda2)))))))))) R))> 11.216 * * * * [progress]: [ 16 / 75 ] simplifiying candidate # 11.216 * * * * [progress]: [ 17 / 75 ] simplifiying candidate # 11.216 * * * * [progress]: [ 18 / 75 ] simplifiying candidate # 11.216 * * * * [progress]: [ 19 / 75 ] simplifiying candidate # 11.216 * * * * [progress]: [ 20 / 75 ] simplifiying candidate # 11.216 * * * * [progress]: [ 21 / 75 ] simplifiying candidate # 11.216 * * * * [progress]: [ 22 / 75 ] simplifiying candidate # 11.216 * * * * [progress]: [ 23 / 75 ] simplifiying candidate # 11.216 * * * * [progress]: [ 24 / 75 ] simplifiying candidate #real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) R))> 11.216 * * * * [progress]: [ 25 / 75 ] simplifiying candidate # 11.217 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R) 11.217 * * [simplify]: iters left: 6 (24 enodes) 11.227 * * [simplify]: iters left: 5 (88 enodes) 11.244 * * [simplify]: iters left: 4 (160 enodes) 11.282 * * [simplify]: iters left: 3 (285 enodes) 11.374 * * [simplify]: iters left: 2 (432 enodes) 11.474 * * [simplify]: Extracting #0: cost 1 inf + 0 11.475 * * [simplify]: Extracting #1: cost 4 inf + 0 11.475 * * [simplify]: Extracting #2: cost 5 inf + 1 11.475 * * [simplify]: Extracting #3: cost 14 inf + 1 11.475 * * [simplify]: Extracting #4: cost 65 inf + 1 11.475 * * [simplify]: Extracting #5: cost 135 inf + 1 11.476 * * [simplify]: Extracting #6: cost 146 inf + 1334 11.478 * * [simplify]: Extracting #7: cost 105 inf + 11046 11.485 * * [simplify]: Extracting #8: cost 46 inf + 32062 11.493 * * [simplify]: Extracting #9: cost 9 inf + 47774 11.506 * * [simplify]: Extracting #10: cost 0 inf + 53868 11.516 * * [simplify]: Extracting #11: cost 0 inf + 53708 11.524 * [simplify]: Simplified to (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))) R) 11.524 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))) R) 1)) 11.524 * * * * [progress]: [ 26 / 75 ] simplifiying candidate # 11.524 * * * * [progress]: [ 27 / 75 ] simplifiying candidate # 11.525 * [simplify]: Simplifying (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (log R)) 11.525 * * [simplify]: iters left: 6 (26 enodes) 11.530 * * [simplify]: iters left: 5 (94 enodes) 11.548 * * [simplify]: iters left: 4 (166 enodes) 11.583 * * [simplify]: iters left: 3 (290 enodes) 11.651 * * [simplify]: iters left: 2 (437 enodes) 11.758 * * [simplify]: Extracting #0: cost 1 inf + 0 11.759 * * [simplify]: Extracting #1: cost 4 inf + 0 11.759 * * [simplify]: Extracting #2: cost 8 inf + 0 11.759 * * [simplify]: Extracting #3: cost 8 inf + 72 11.759 * * [simplify]: Extracting #4: cost 16 inf + 143 11.759 * * [simplify]: Extracting #5: cost 67 inf + 143 11.759 * * [simplify]: Extracting #6: cost 137 inf + 143 11.760 * * [simplify]: Extracting #7: cost 148 inf + 1781 11.762 * * [simplify]: Extracting #8: cost 96 inf + 14358 11.769 * * [simplify]: Extracting #9: cost 44 inf + 36529 11.779 * * [simplify]: Extracting #10: cost 1 inf + 56398 11.789 * * [simplify]: Extracting #11: cost 0 inf + 56581 11.797 * [simplify]: Simplified to (+ (log R) (log (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))))) 11.798 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log R) (log (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))))))) 11.798 * * * * [progress]: [ 28 / 75 ] simplifiying candidate # 11.798 * * * * [progress]: [ 29 / 75 ] simplifiying candidate # 11.798 * * * * [progress]: [ 30 / 75 ] simplifiying candidate # 11.798 * [simplify]: Simplifying (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (* (* R R) R)) 11.798 * * [simplify]: iters left: 6 (28 enodes) 11.804 * * [simplify]: iters left: 5 (106 enodes) 11.843 * * [simplify]: iters left: 4 (207 enodes) 11.920 * * [simplify]: iters left: 3 (388 enodes) 12.026 * * [simplify]: Extracting #0: cost 1 inf + 0 12.026 * * [simplify]: Extracting #1: cost 31 inf + 0 12.026 * * [simplify]: Extracting #2: cost 58 inf + 1 12.027 * * [simplify]: Extracting #3: cost 62 inf + 256 12.027 * * [simplify]: Extracting #4: cost 115 inf + 672 12.028 * * [simplify]: Extracting #5: cost 159 inf + 884 12.030 * * [simplify]: Extracting #6: cost 160 inf + 1761 12.033 * * [simplify]: Extracting #7: cost 136 inf + 7284 12.041 * * [simplify]: Extracting #8: cost 68 inf + 31797 12.049 * * [simplify]: Extracting #9: cost 42 inf + 46999 12.062 * * [simplify]: Extracting #10: cost 6 inf + 84210 12.086 * * [simplify]: Extracting #11: cost 0 inf + 89228 12.102 * * [simplify]: Extracting #12: cost 0 inf + 89149 12.118 * [simplify]: Simplified to (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))) R) (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))) R) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))) R))) 12.118 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))) R) (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))) R) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))) R))))) 12.118 * * * * [progress]: [ 31 / 75 ] simplifiying candidate # 12.119 * * * * [progress]: [ 32 / 75 ] simplifiying candidate # 12.119 * * * * [progress]: [ 33 / 75 ] simplifiying candidate # 12.119 * * * * [progress]: [ 34 / 75 ] simplifiying candidate # 12.119 * * * * [progress]: [ 35 / 75 ] simplifiying candidate # 12.119 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) 12.119 * * [simplify]: iters left: 6 (26 enodes) 12.124 * * [simplify]: iters left: 5 (94 enodes) 12.144 * * [simplify]: iters left: 4 (166 enodes) 12.203 * * [simplify]: iters left: 3 (290 enodes) 12.298 * * [simplify]: iters left: 2 (437 enodes) 12.404 * * [simplify]: Extracting #0: cost 1 inf + 0 12.404 * * [simplify]: Extracting #1: cost 4 inf + 0 12.404 * * [simplify]: Extracting #2: cost 8 inf + 0 12.404 * * [simplify]: Extracting #3: cost 8 inf + 42 12.404 * * [simplify]: Extracting #4: cost 16 inf + 83 12.404 * * [simplify]: Extracting #5: cost 67 inf + 83 12.405 * * [simplify]: Extracting #6: cost 137 inf + 83 12.405 * * [simplify]: Extracting #7: cost 148 inf + 1721 12.408 * * [simplify]: Extracting #8: cost 96 inf + 14298 12.414 * * [simplify]: Extracting #9: cost 44 inf + 36379 12.428 * * [simplify]: Extracting #10: cost 1 inf + 56158 12.437 * * [simplify]: Extracting #11: cost 0 inf + 56341 12.447 * [simplify]: Simplified to (* (sqrt R) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))))) 12.447 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt R) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt R)))) 12.448 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) 12.448 * * [simplify]: iters left: 6 (26 enodes) 12.453 * * [simplify]: iters left: 5 (94 enodes) 12.478 * * [simplify]: iters left: 4 (166 enodes) 12.515 * * [simplify]: iters left: 3 (290 enodes) 12.580 * * [simplify]: iters left: 2 (437 enodes) 12.704 * * [simplify]: Extracting #0: cost 1 inf + 0 12.704 * * [simplify]: Extracting #1: cost 4 inf + 0 12.704 * * [simplify]: Extracting #2: cost 8 inf + 0 12.704 * * [simplify]: Extracting #3: cost 8 inf + 42 12.704 * * [simplify]: Extracting #4: cost 16 inf + 83 12.705 * * [simplify]: Extracting #5: cost 67 inf + 83 12.705 * * [simplify]: Extracting #6: cost 137 inf + 83 12.706 * * [simplify]: Extracting #7: cost 148 inf + 1721 12.708 * * [simplify]: Extracting #8: cost 96 inf + 14298 12.722 * * [simplify]: Extracting #9: cost 44 inf + 36379 12.738 * * [simplify]: Extracting #10: cost 1 inf + 56158 12.751 * * [simplify]: Extracting #11: cost 0 inf + 56341 12.759 * [simplify]: Simplified to (* (sqrt R) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))))) 12.760 * [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)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (sqrt R) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))))))) 12.760 * * * * [progress]: [ 36 / 75 ] simplifiying candidate # 12.760 * [simplify]: Simplifying (cbrt R) 12.760 * * [simplify]: iters left: 1 (2 enodes) 12.761 * * [simplify]: Extracting #0: cost 1 inf + 0 12.761 * * [simplify]: Extracting #1: cost 3 inf + 0 12.761 * * [simplify]: Extracting #2: cost 2 inf + 1 12.761 * * [simplify]: Extracting #3: cost 0 inf + 163 12.761 * [simplify]: Simplified to (cbrt R) 12.761 * [simplify]: Simplified (2 2) to (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)))))))) (* (cbrt R) (cbrt R))) (cbrt R))) 12.761 * * * * [progress]: [ 37 / 75 ] simplifiying candidate # 12.761 * [simplify]: Simplifying (sqrt R) 12.761 * * [simplify]: iters left: 1 (2 enodes) 12.762 * * [simplify]: Extracting #0: cost 1 inf + 0 12.762 * * [simplify]: Extracting #1: cost 3 inf + 0 12.762 * * [simplify]: Extracting #2: cost 2 inf + 1 12.762 * * [simplify]: Extracting #3: cost 0 inf + 83 12.762 * [simplify]: Simplified to (sqrt R) 12.762 * [simplify]: Simplified (2 2) to (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)))))))) (sqrt R)) (sqrt R))) 12.762 * * * * [progress]: [ 38 / 75 ] simplifiying candidate # 12.762 * * * * [progress]: [ 39 / 75 ] simplifiying candidate # 12.762 * [simplify]: Simplifying (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) 12.762 * * [simplify]: iters left: 6 (24 enodes) 12.767 * * [simplify]: iters left: 5 (87 enodes) 12.793 * * [simplify]: iters left: 4 (159 enodes) 12.823 * * [simplify]: iters left: 3 (284 enodes) 12.897 * * [simplify]: iters left: 2 (431 enodes) 13.027 * * [simplify]: Extracting #0: cost 1 inf + 0 13.027 * * [simplify]: Extracting #1: cost 3 inf + 0 13.027 * * [simplify]: Extracting #2: cost 5 inf + 0 13.027 * * [simplify]: Extracting #3: cost 7 inf + 0 13.027 * * [simplify]: Extracting #4: cost 16 inf + 0 13.027 * * [simplify]: Extracting #5: cost 67 inf + 0 13.028 * * [simplify]: Extracting #6: cost 137 inf + 0 13.028 * * [simplify]: Extracting #7: cost 147 inf + 1334 13.031 * * [simplify]: Extracting #8: cost 91 inf + 14640 13.037 * * [simplify]: Extracting #9: cost 33 inf + 38011 13.045 * * [simplify]: Extracting #10: cost 6 inf + 51638 13.053 * * [simplify]: Extracting #11: cost 1 inf + 55239 13.068 * * [simplify]: Extracting #12: cost 0 inf + 56213 13.086 * [simplify]: Simplified to (* (cbrt (acos (+ (* (* (cos phi1) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (cos phi2)) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (* (cos phi1) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (cos phi2)) (* (sin phi2) (sin phi1)))))) 13.086 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (* (cos phi1) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (cos phi2)) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (* (cos phi1) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (cos phi2)) (* (sin phi2) (sin phi1)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) R))) 13.087 * * * * [progress]: [ 40 / 75 ] simplifiying candidate # 13.087 * [simplify]: Simplifying (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) 13.087 * * [simplify]: iters left: 6 (23 enodes) 13.097 * * [simplify]: iters left: 5 (84 enodes) 13.128 * * [simplify]: iters left: 4 (156 enodes) 13.163 * * [simplify]: iters left: 3 (282 enodes) 13.231 * * [simplify]: iters left: 2 (433 enodes) 13.323 * * [simplify]: Extracting #0: cost 1 inf + 0 13.323 * * [simplify]: Extracting #1: cost 3 inf + 0 13.323 * * [simplify]: Extracting #2: cost 5 inf + 0 13.323 * * [simplify]: Extracting #3: cost 12 inf + 0 13.323 * * [simplify]: Extracting #4: cost 57 inf + 0 13.323 * * [simplify]: Extracting #5: cost 125 inf + 0 13.324 * * [simplify]: Extracting #6: cost 143 inf + 1354 13.327 * * [simplify]: Extracting #7: cost 90 inf + 18219 13.333 * * [simplify]: Extracting #8: cost 22 inf + 43446 13.346 * * [simplify]: Extracting #9: cost 2 inf + 53170 13.364 * * [simplify]: Extracting #10: cost 0 inf + 53613 13.383 * * [simplify]: Extracting #11: cost 0 inf + 53573 13.400 * [simplify]: Simplified to (sqrt (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi2)) (cos phi1)) (* (sin phi2) (sin phi1))))) 13.400 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi2)) (cos phi1)) (* (sin phi2) (sin phi1))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) R))) 13.400 * * * * [progress]: [ 41 / 75 ] simplifiying candidate # 13.400 * * * * [progress]: [ 42 / 75 ] simplifiying candidate #real (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))))> 13.400 * * * * [progress]: [ 43 / 75 ] simplifiying candidate # 13.400 * * * * [progress]: [ 44 / 75 ] simplifiying candidate # 13.401 * [simplify]: Simplifying (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 13.401 * * [simplify]: iters left: 5 (7 enodes) 13.404 * * [simplify]: iters left: 4 (26 enodes) 13.411 * * [simplify]: iters left: 3 (32 enodes) 13.419 * * [simplify]: Extracting #0: cost 1 inf + 0 13.419 * * [simplify]: Extracting #1: cost 5 inf + 0 13.419 * * [simplify]: Extracting #2: cost 10 inf + 0 13.419 * * [simplify]: Extracting #3: cost 15 inf + 0 13.419 * * [simplify]: Extracting #4: cost 13 inf + 43 13.419 * * [simplify]: Extracting #5: cost 4 inf + 800 13.420 * * [simplify]: Extracting #6: cost 1 inf + 1186 13.420 * * [simplify]: Extracting #7: cost 0 inf + 1428 13.421 * [simplify]: Simplified to (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) 13.421 * [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)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 13.421 * * * * [progress]: [ 45 / 75 ] simplifiying candidate # 13.422 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 13.422 * * [simplify]: iters left: 3 (5 enodes) 13.424 * * [simplify]: iters left: 2 (16 enodes) 13.428 * * [simplify]: Extracting #0: cost 1 inf + 0 13.428 * * [simplify]: Extracting #1: cost 4 inf + 0 13.428 * * [simplify]: Extracting #2: cost 8 inf + 0 13.428 * * [simplify]: Extracting #3: cost 4 inf + 124 13.428 * * [simplify]: Extracting #4: cost 0 inf + 570 13.429 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 13.429 * [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)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 13.429 * * * * [progress]: [ 46 / 75 ] simplifiying candidate # 13.429 * * * * [progress]: [ 47 / 75 ] simplifiying candidate # 13.429 * [simplify]: Simplifying (+ (log (sin phi1)) (log (sin phi2))) 13.429 * * [simplify]: iters left: 4 (7 enodes) 13.432 * * [simplify]: iters left: 3 (22 enodes) 13.438 * * [simplify]: Extracting #0: cost 1 inf + 0 13.438 * * [simplify]: Extracting #1: cost 4 inf + 0 13.438 * * [simplify]: Extracting #2: cost 8 inf + 0 13.438 * * [simplify]: Extracting #3: cost 12 inf + 0 13.438 * * [simplify]: Extracting #4: cost 10 inf + 2 13.438 * * [simplify]: Extracting #5: cost 4 inf + 508 13.438 * * [simplify]: Extracting #6: cost 1 inf + 1072 13.439 * * [simplify]: Extracting #7: cost 0 inf + 1374 13.439 * [simplify]: Simplified to (+ (log (sin phi2)) (log (sin phi1))) 13.439 * [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)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 13.439 * * * * [progress]: [ 48 / 75 ] simplifiying candidate # 13.440 * * * * [progress]: [ 49 / 75 ] simplifiying candidate # 13.440 * * * * [progress]: [ 50 / 75 ] simplifiying candidate # 13.440 * [simplify]: Simplifying (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) 13.440 * * [simplify]: iters left: 6 (9 enodes) 13.444 * * [simplify]: iters left: 5 (34 enodes) 13.456 * * [simplify]: iters left: 4 (63 enodes) 13.480 * * [simplify]: iters left: 3 (122 enodes) 13.529 * * [simplify]: iters left: 2 (196 enodes) 13.615 * * [simplify]: iters left: 1 (356 enodes) 13.800 * * [simplify]: Extracting #0: cost 1 inf + 0 13.800 * * [simplify]: Extracting #1: cost 70 inf + 0 13.801 * * [simplify]: Extracting #2: cost 169 inf + 1 13.803 * * [simplify]: Extracting #3: cost 154 inf + 2658 13.810 * * [simplify]: Extracting #4: cost 86 inf + 31524 13.819 * * [simplify]: Extracting #5: cost 7 inf + 77226 13.827 * * [simplify]: Extracting #6: cost 0 inf + 81813 13.838 * [simplify]: Simplified to (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1))) 13.838 * [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)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 13.838 * * * * [progress]: [ 51 / 75 ] simplifiying candidate # 13.838 * * * * [progress]: [ 52 / 75 ] simplifiying candidate # 13.838 * * * * [progress]: [ 53 / 75 ] simplifiying candidate # 13.838 * * * * [progress]: [ 54 / 75 ] simplifiying candidate # 13.838 * * * * [progress]: [ 55 / 75 ] simplifiying candidate # 13.838 * [simplify]: Simplifying (* (sqrt (sin phi1)) (sqrt (sin phi2))) 13.838 * * [simplify]: iters left: 4 (7 enodes) 13.840 * * [simplify]: iters left: 3 (22 enodes) 13.845 * * [simplify]: Extracting #0: cost 1 inf + 0 13.845 * * [simplify]: Extracting #1: cost 4 inf + 0 13.845 * * [simplify]: Extracting #2: cost 8 inf + 0 13.845 * * [simplify]: Extracting #3: cost 12 inf + 0 13.845 * * [simplify]: Extracting #4: cost 10 inf + 2 13.845 * * [simplify]: Extracting #5: cost 4 inf + 448 13.845 * * [simplify]: Extracting #6: cost 1 inf + 892 13.846 * * [simplify]: Extracting #7: cost 0 inf + 1134 13.846 * [simplify]: Simplified to (* (sqrt (sin phi1)) (sqrt (sin phi2))) 13.846 * [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)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 13.847 * [simplify]: Simplifying (* (sqrt (sin phi1)) (sqrt (sin phi2))) 13.847 * * [simplify]: iters left: 4 (7 enodes) 13.849 * * [simplify]: iters left: 3 (22 enodes) 13.855 * * [simplify]: Extracting #0: cost 1 inf + 0 13.855 * * [simplify]: Extracting #1: cost 4 inf + 0 13.855 * * [simplify]: Extracting #2: cost 8 inf + 0 13.855 * * [simplify]: Extracting #3: cost 12 inf + 0 13.855 * * [simplify]: Extracting #4: cost 10 inf + 2 13.856 * * [simplify]: Extracting #5: cost 4 inf + 448 13.856 * * [simplify]: Extracting #6: cost 1 inf + 892 13.856 * * [simplify]: Extracting #7: cost 0 inf + 1134 13.857 * [simplify]: Simplified to (* (sqrt (sin phi1)) (sqrt (sin phi2))) 13.857 * [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)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 13.857 * * * * [progress]: [ 56 / 75 ] simplifiying candidate # 13.857 * [simplify]: Simplifying (cbrt (sin phi2)) 13.857 * * [simplify]: iters left: 2 (3 enodes) 13.859 * * [simplify]: iters left: 1 (9 enodes) 13.861 * * [simplify]: Extracting #0: cost 1 inf + 0 13.861 * * [simplify]: Extracting #1: cost 3 inf + 0 13.861 * * [simplify]: Extracting #2: cost 5 inf + 0 13.861 * * [simplify]: Extracting #3: cost 4 inf + 1 13.861 * * [simplify]: Extracting #4: cost 0 inf + 405 13.861 * [simplify]: Simplified to (cbrt (sin phi2)) 13.861 * [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)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 13.862 * * * * [progress]: [ 57 / 75 ] simplifiying candidate # 13.862 * [simplify]: Simplifying (sqrt (sin phi2)) 13.862 * * [simplify]: iters left: 2 (3 enodes) 13.863 * * [simplify]: iters left: 1 (9 enodes) 13.865 * * [simplify]: Extracting #0: cost 1 inf + 0 13.866 * * [simplify]: Extracting #1: cost 3 inf + 0 13.866 * * [simplify]: Extracting #2: cost 5 inf + 0 13.866 * * [simplify]: Extracting #3: cost 4 inf + 1 13.866 * * [simplify]: Extracting #4: cost 0 inf + 325 13.866 * [simplify]: Simplified to (sqrt (sin phi2)) 13.866 * [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)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 13.866 * * * * [progress]: [ 58 / 75 ] simplifiying candidate # 13.866 * [simplify]: Simplifying (sin phi2) 13.867 * * [simplify]: iters left: 1 (2 enodes) 13.867 * * [simplify]: Extracting #0: cost 1 inf + 0 13.867 * * [simplify]: Extracting #1: cost 3 inf + 0 13.867 * * [simplify]: Extracting #2: cost 2 inf + 1 13.867 * * [simplify]: Extracting #3: cost 0 inf + 123 13.868 * [simplify]: Simplified to (sin phi2) 13.868 * [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)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 13.868 * * * * [progress]: [ 59 / 75 ] simplifiying candidate # 13.868 * [simplify]: Simplifying (* (cbrt (sin phi1)) (cbrt (sin phi1))) 13.868 * * [simplify]: iters left: 4 (4 enodes) 13.870 * * [simplify]: iters left: 3 (12 enodes) 13.873 * * [simplify]: Extracting #0: cost 1 inf + 0 13.873 * * [simplify]: Extracting #1: cost 3 inf + 0 13.873 * * [simplify]: Extracting #2: cost 5 inf + 0 13.873 * * [simplify]: Extracting #3: cost 7 inf + 0 13.873 * * [simplify]: Extracting #4: cost 6 inf + 1 13.873 * * [simplify]: Extracting #5: cost 0 inf + 767 13.873 * [simplify]: Simplified to (* (cbrt (sin phi1)) (cbrt (sin phi1))) 13.873 * [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)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 13.874 * * * * [progress]: [ 60 / 75 ] simplifiying candidate # 13.874 * [simplify]: Simplifying (sqrt (sin phi1)) 13.874 * * [simplify]: iters left: 2 (3 enodes) 13.875 * * [simplify]: iters left: 1 (9 enodes) 13.877 * * [simplify]: Extracting #0: cost 1 inf + 0 13.877 * * [simplify]: Extracting #1: cost 3 inf + 0 13.877 * * [simplify]: Extracting #2: cost 5 inf + 0 13.877 * * [simplify]: Extracting #3: cost 4 inf + 1 13.877 * * [simplify]: Extracting #4: cost 0 inf + 325 13.877 * [simplify]: Simplified to (sqrt (sin phi1)) 13.877 * [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)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 13.877 * * * * [progress]: [ 61 / 75 ] simplifiying candidate # 13.877 * * * * [progress]: [ 62 / 75 ] simplifiying candidate #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))> 13.878 * * * * [progress]: [ 63 / 75 ] simplifiying candidate # 13.878 * * * * [progress]: [ 64 / 75 ] simplifiying candidate # 13.878 * [simplify]: Simplifying (* lambda2 lambda1) 13.878 * * [simplify]: iters left: 2 (3 enodes) 13.878 * * [simplify]: iters left: 1 (10 enodes) 13.880 * * [simplify]: Extracting #0: cost 1 inf + 0 13.880 * * [simplify]: Extracting #1: cost 4 inf + 0 13.880 * * [simplify]: Extracting #2: cost 2 inf + 2 13.880 * * [simplify]: Extracting #3: cost 0 inf + 86 13.880 * [simplify]: Simplified to (* lambda2 lambda1) 13.880 * [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)) 13.880 * * * * [progress]: [ 65 / 75 ] simplifiying candidate # 13.880 * [simplify]: Simplifying (* (sin lambda2) (sin lambda1)) 13.880 * * [simplify]: iters left: 3 (5 enodes) 13.881 * * [simplify]: iters left: 2 (16 enodes) 13.883 * * [simplify]: Extracting #0: cost 1 inf + 0 13.883 * * [simplify]: Extracting #1: cost 4 inf + 0 13.883 * * [simplify]: Extracting #2: cost 8 inf + 0 13.883 * * [simplify]: Extracting #3: cost 4 inf + 124 13.883 * * [simplify]: Extracting #4: cost 0 inf + 570 13.883 * [simplify]: Simplified to (* (sin lambda1) (sin lambda2)) 13.884 * [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)) 13.884 * * * * [progress]: [ 66 / 75 ] simplifiying candidate # 13.884 * [simplify]: Simplifying (* (sin lambda1) (sin lambda2)) 13.884 * * [simplify]: iters left: 3 (5 enodes) 13.885 * * [simplify]: iters left: 2 (16 enodes) 13.887 * * [simplify]: Extracting #0: cost 1 inf + 0 13.887 * * [simplify]: Extracting #1: cost 4 inf + 0 13.887 * * [simplify]: Extracting #2: cost 8 inf + 0 13.887 * * [simplify]: Extracting #3: cost 4 inf + 124 13.887 * * [simplify]: Extracting #4: cost 0 inf + 570 13.887 * [simplify]: Simplified to (* (sin lambda2) (sin lambda1)) 13.887 * [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)) 13.887 * * * * [progress]: [ 67 / 75 ] simplifiying candidate # 13.887 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 13.887 * * [simplify]: iters left: 6 (22 enodes) 13.892 * * [simplify]: iters left: 5 (84 enodes) 13.904 * * [simplify]: iters left: 4 (141 enodes) 13.954 * * [simplify]: iters left: 3 (241 enodes) 14.030 * * [simplify]: iters left: 2 (280 enodes) 14.105 * * [simplify]: Extracting #0: cost 1 inf + 0 14.105 * * [simplify]: Extracting #1: cost 3 inf + 0 14.105 * * [simplify]: Extracting #2: cost 10 inf + 0 14.105 * * [simplify]: Extracting #3: cost 46 inf + 0 14.106 * * [simplify]: Extracting #4: cost 80 inf + 0 14.106 * * [simplify]: Extracting #5: cost 63 inf + 1504 14.109 * * [simplify]: Extracting #6: cost 22 inf + 9796 14.115 * * [simplify]: Extracting #7: cost 5 inf + 17031 14.121 * * [simplify]: Extracting #8: cost 0 inf + 19888 14.128 * * [simplify]: Extracting #9: cost 0 inf + 19728 14.135 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) 14.135 * [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)) 14.135 * * * * [progress]: [ 68 / 75 ] simplifiying candidate # 14.136 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 14.136 * * [simplify]: iters left: 6 (22 enodes) 14.145 * * [simplify]: iters left: 5 (84 enodes) 14.171 * * [simplify]: iters left: 4 (141 enodes) 14.224 * * [simplify]: iters left: 3 (241 enodes) 14.269 * * [simplify]: iters left: 2 (280 enodes) 14.310 * * [simplify]: Extracting #0: cost 1 inf + 0 14.310 * * [simplify]: Extracting #1: cost 3 inf + 0 14.310 * * [simplify]: Extracting #2: cost 10 inf + 0 14.310 * * [simplify]: Extracting #3: cost 46 inf + 0 14.311 * * [simplify]: Extracting #4: cost 80 inf + 0 14.312 * * [simplify]: Extracting #5: cost 58 inf + 2112 14.315 * * [simplify]: Extracting #6: cost 20 inf + 10221 14.321 * * [simplify]: Extracting #7: cost 2 inf + 18300 14.328 * * [simplify]: Extracting #8: cost 0 inf + 19888 14.334 * * [simplify]: Extracting #9: cost 0 inf + 19728 14.341 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) 14.341 * [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)) 14.342 * * * * [progress]: [ 69 / 75 ] simplifiying candidate # 14.342 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 14.342 * * [simplify]: iters left: 6 (22 enodes) 14.352 * * [simplify]: iters left: 5 (84 enodes) 14.377 * * [simplify]: iters left: 4 (141 enodes) 14.430 * * [simplify]: iters left: 3 (241 enodes) 14.493 * * [simplify]: iters left: 2 (280 enodes) 14.544 * * [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 63 inf + 1504 14.550 * * [simplify]: Extracting #6: cost 22 inf + 9796 14.556 * * [simplify]: Extracting #7: cost 5 inf + 17031 14.562 * * [simplify]: Extracting #8: cost 0 inf + 19888 14.569 * * [simplify]: Extracting #9: cost 0 inf + 19728 14.576 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) 14.576 * [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)) 14.576 * * * * [progress]: [ 70 / 75 ] simplifiying candidate # 14.576 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 14.577 * * [simplify]: iters left: 6 (24 enodes) 14.587 * * [simplify]: iters left: 5 (91 enodes) 14.615 * * [simplify]: iters left: 4 (148 enodes) 14.668 * * [simplify]: iters left: 3 (248 enodes) 14.752 * * [simplify]: iters left: 2 (295 enodes) 14.809 * * [simplify]: Extracting #0: cost 1 inf + 0 14.809 * * [simplify]: Extracting #1: cost 4 inf + 0 14.809 * * [simplify]: Extracting #2: cost 5 inf + 1 14.809 * * [simplify]: Extracting #3: cost 12 inf + 1 14.809 * * [simplify]: Extracting #4: cost 48 inf + 1 14.809 * * [simplify]: Extracting #5: cost 82 inf + 1 14.810 * * [simplify]: Extracting #6: cost 71 inf + 634 14.811 * * [simplify]: Extracting #7: cost 31 inf + 8806 14.814 * * [simplify]: Extracting #8: cost 5 inf + 18631 14.818 * * [simplify]: Extracting #9: cost 1 inf + 20704 14.821 * * [simplify]: Extracting #10: cost 0 inf + 21559 14.825 * * [simplify]: Extracting #11: cost 0 inf + 21519 14.829 * [simplify]: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 14.829 * [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))))))) 14.829 * * * * [progress]: [ 71 / 75 ] simplifiying candidate # 14.829 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 14.830 * * [simplify]: iters left: 6 (24 enodes) 14.835 * * [simplify]: iters left: 5 (91 enodes) 14.858 * * [simplify]: iters left: 4 (148 enodes) 14.900 * * [simplify]: iters left: 3 (248 enodes) 14.944 * * [simplify]: iters left: 2 (292 enodes) 14.988 * * [simplify]: Extracting #0: cost 1 inf + 0 14.988 * * [simplify]: Extracting #1: cost 4 inf + 0 14.988 * * [simplify]: Extracting #2: cost 5 inf + 1 14.988 * * [simplify]: Extracting #3: cost 12 inf + 1 14.988 * * [simplify]: Extracting #4: cost 48 inf + 1 14.989 * * [simplify]: Extracting #5: cost 82 inf + 1 14.990 * * [simplify]: Extracting #6: cost 61 inf + 2052 14.993 * * [simplify]: Extracting #7: cost 23 inf + 9919 14.999 * * [simplify]: Extracting #8: cost 4 inf + 18021 15.006 * * [simplify]: Extracting #9: cost 1 inf + 20624 15.012 * * [simplify]: Extracting #10: cost 0 inf + 21519 15.016 * [simplify]: Simplified to (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R) 15.016 * [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)) 15.016 * * * * [progress]: [ 72 / 75 ] simplifiying candidate # 15.016 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 15.016 * * [simplify]: iters left: 6 (24 enodes) 15.021 * * [simplify]: iters left: 5 (91 enodes) 15.035 * * [simplify]: iters left: 4 (148 enodes) 15.080 * * [simplify]: iters left: 3 (248 enodes) 15.164 * * [simplify]: iters left: 2 (295 enodes) 15.228 * * [simplify]: Extracting #0: cost 1 inf + 0 15.228 * * [simplify]: Extracting #1: cost 4 inf + 0 15.228 * * [simplify]: Extracting #2: cost 5 inf + 1 15.228 * * [simplify]: Extracting #3: cost 12 inf + 1 15.228 * * [simplify]: Extracting #4: cost 48 inf + 1 15.229 * * [simplify]: Extracting #5: cost 82 inf + 1 15.229 * * [simplify]: Extracting #6: cost 71 inf + 634 15.230 * * [simplify]: Extracting #7: cost 31 inf + 8806 15.233 * * [simplify]: Extracting #8: cost 5 inf + 18631 15.237 * * [simplify]: Extracting #9: cost 1 inf + 20704 15.240 * * [simplify]: Extracting #10: cost 0 inf + 21559 15.244 * * [simplify]: Extracting #11: cost 0 inf + 21519 15.250 * [simplify]: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 15.251 * [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))))))) 15.251 * * * * [progress]: [ 73 / 75 ] simplifiying candidate # 15.251 * [simplify]: Simplifying (* phi1 phi2) 15.251 * * [simplify]: iters left: 2 (3 enodes) 15.253 * * [simplify]: iters left: 1 (10 enodes) 15.255 * * [simplify]: Extracting #0: cost 1 inf + 0 15.255 * * [simplify]: Extracting #1: cost 4 inf + 0 15.255 * * [simplify]: Extracting #2: cost 2 inf + 2 15.256 * * [simplify]: Extracting #3: cost 0 inf + 86 15.256 * [simplify]: Simplified to (* phi1 phi2) 15.256 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* phi1 phi2) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 15.256 * * * * [progress]: [ 74 / 75 ] simplifiying candidate # 15.256 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 15.256 * * [simplify]: iters left: 3 (5 enodes) 15.258 * * [simplify]: iters left: 2 (16 enodes) 15.263 * * [simplify]: Extracting #0: cost 1 inf + 0 15.263 * * [simplify]: Extracting #1: cost 4 inf + 0 15.263 * * [simplify]: Extracting #2: cost 8 inf + 0 15.263 * * [simplify]: Extracting #3: cost 4 inf + 124 15.263 * * [simplify]: Extracting #4: cost 0 inf + 570 15.263 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 15.263 * [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)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 15.263 * * * * [progress]: [ 75 / 75 ] simplifiying candidate # 15.264 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 15.264 * * [simplify]: iters left: 3 (5 enodes) 15.266 * * [simplify]: iters left: 2 (16 enodes) 15.270 * * [simplify]: Extracting #0: cost 1 inf + 0 15.270 * * [simplify]: Extracting #1: cost 4 inf + 0 15.270 * * [simplify]: Extracting #2: cost 8 inf + 0 15.271 * * [simplify]: Extracting #3: cost 4 inf + 124 15.271 * * [simplify]: Extracting #4: cost 0 inf + 570 15.271 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 15.271 * [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)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 15.271 * * * [progress]: adding candidates to table 17.686 * * [progress]: iteration 4 / 4 17.686 * * * [progress]: picking best candidate 17.904 * * * * [pick]: Picked # 17.904 * * * [progress]: localizing error 18.028 * * * [progress]: generating rewritten candidates 18.028 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2 2) 18.033 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 18.037 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 18.048 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 18.056 * * * [progress]: generating series expansions 18.056 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2 2) 18.056 * [backup-simplify]: Simplify (log (exp (* (sin lambda1) (sin lambda2)))) into (* (sin lambda1) (sin lambda2)) 18.056 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 18.056 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 18.056 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 18.057 * [taylor]: Taking taylor expansion of lambda1 in lambda2 18.057 * [backup-simplify]: Simplify lambda1 into lambda1 18.057 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 18.057 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 18.057 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 18.057 * [taylor]: Taking taylor expansion of lambda2 in lambda2 18.057 * [backup-simplify]: Simplify 0 into 0 18.057 * [backup-simplify]: Simplify 1 into 1 18.057 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 18.057 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 18.057 * [taylor]: Taking taylor expansion of lambda1 in lambda1 18.057 * [backup-simplify]: Simplify 0 into 0 18.057 * [backup-simplify]: Simplify 1 into 1 18.057 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 18.057 * [taylor]: Taking taylor expansion of lambda2 in lambda1 18.057 * [backup-simplify]: Simplify lambda2 into lambda2 18.057 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 18.057 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 18.057 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 18.057 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 18.057 * [taylor]: Taking taylor expansion of lambda1 in lambda1 18.057 * [backup-simplify]: Simplify 0 into 0 18.057 * [backup-simplify]: Simplify 1 into 1 18.057 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 18.057 * [taylor]: Taking taylor expansion of lambda2 in lambda1 18.057 * [backup-simplify]: Simplify lambda2 into lambda2 18.057 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 18.057 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 18.058 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 18.058 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 18.058 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 18.058 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0 18.058 * [taylor]: Taking taylor expansion of 0 in lambda2 18.058 * [backup-simplify]: Simplify 0 into 0 18.058 * [backup-simplify]: Simplify 0 into 0 18.059 * [backup-simplify]: Simplify (+ 0) into 0 18.059 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 18.060 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.061 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 18.061 * [backup-simplify]: Simplify (+ 0 0) into 0 18.062 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 18.062 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2) 18.062 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 18.062 * [taylor]: Taking taylor expansion of lambda2 in lambda2 18.062 * [backup-simplify]: Simplify 0 into 0 18.062 * [backup-simplify]: Simplify 1 into 1 18.062 * [backup-simplify]: Simplify 0 into 0 18.062 * [backup-simplify]: Simplify 0 into 0 18.063 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 18.064 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 18.065 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.066 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 18.066 * [backup-simplify]: Simplify (+ 0 0) into 0 18.067 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.068 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0 18.068 * [taylor]: Taking taylor expansion of 0 in lambda2 18.068 * [backup-simplify]: Simplify 0 into 0 18.068 * [backup-simplify]: Simplify 0 into 0 18.069 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 18.069 * [backup-simplify]: Simplify 1 into 1 18.069 * [backup-simplify]: Simplify 0 into 0 18.070 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 18.070 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.072 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 18.073 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 18.073 * [backup-simplify]: Simplify (+ 0 0) into 0 18.075 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 18.076 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda2))))) into (- (* 1/6 (sin lambda2))) 18.076 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 18.076 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 18.076 * [taylor]: Taking taylor expansion of 1/6 in lambda2 18.076 * [backup-simplify]: Simplify 1/6 into 1/6 18.076 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 18.076 * [taylor]: Taking taylor expansion of lambda2 in lambda2 18.076 * [backup-simplify]: Simplify 0 into 0 18.076 * [backup-simplify]: Simplify 1 into 1 18.077 * [backup-simplify]: Simplify (* 1/6 0) into 0 18.077 * [backup-simplify]: Simplify (- 0) into 0 18.077 * [backup-simplify]: Simplify 0 into 0 18.077 * [backup-simplify]: Simplify 0 into 0 18.078 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.078 * [backup-simplify]: Simplify 0 into 0 18.078 * [backup-simplify]: Simplify 0 into 0 18.080 * [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 18.081 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.083 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 18.084 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 18.084 * [backup-simplify]: Simplify (+ 0 0) into 0 18.086 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 18.087 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda2)))))) into 0 18.087 * [taylor]: Taking taylor expansion of 0 in lambda2 18.087 * [backup-simplify]: Simplify 0 into 0 18.088 * [backup-simplify]: Simplify 0 into 0 18.088 * [backup-simplify]: Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1) 18.088 * [backup-simplify]: Simplify (log (exp (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 18.088 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in (lambda1 lambda2) around 0 18.088 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 18.088 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 18.088 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 18.088 * [taylor]: Taking taylor expansion of lambda2 in lambda2 18.088 * [backup-simplify]: Simplify 0 into 0 18.088 * [backup-simplify]: Simplify 1 into 1 18.088 * [backup-simplify]: Simplify (/ 1 1) into 1 18.088 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 18.089 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 18.089 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 18.089 * [taylor]: Taking taylor expansion of lambda1 in lambda2 18.089 * [backup-simplify]: Simplify lambda1 into lambda1 18.089 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 18.089 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 18.089 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 18.089 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 18.089 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 18.089 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 18.089 * [taylor]: Taking taylor expansion of lambda2 in lambda1 18.089 * [backup-simplify]: Simplify lambda2 into lambda2 18.089 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 18.089 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 18.089 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 18.089 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 18.089 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 18.089 * [taylor]: Taking taylor expansion of lambda1 in lambda1 18.089 * [backup-simplify]: Simplify 0 into 0 18.089 * [backup-simplify]: Simplify 1 into 1 18.090 * [backup-simplify]: Simplify (/ 1 1) into 1 18.090 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 18.090 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 18.090 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 18.090 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 18.090 * [taylor]: Taking taylor expansion of lambda2 in lambda1 18.090 * [backup-simplify]: Simplify lambda2 into lambda2 18.090 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 18.090 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 18.090 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 18.090 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 18.090 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 18.090 * [taylor]: Taking taylor expansion of lambda1 in lambda1 18.090 * [backup-simplify]: Simplify 0 into 0 18.090 * [backup-simplify]: Simplify 1 into 1 18.091 * [backup-simplify]: Simplify (/ 1 1) into 1 18.091 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 18.091 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 18.091 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 18.091 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 18.091 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 18.091 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 18.091 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 18.091 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 18.091 * [taylor]: Taking taylor expansion of lambda2 in lambda2 18.091 * [backup-simplify]: Simplify 0 into 0 18.091 * [backup-simplify]: Simplify 1 into 1 18.092 * [backup-simplify]: Simplify (/ 1 1) into 1 18.092 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 18.092 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 18.092 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 18.092 * [taylor]: Taking taylor expansion of lambda1 in lambda2 18.092 * [backup-simplify]: Simplify lambda1 into lambda1 18.092 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 18.092 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 18.092 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 18.092 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 18.092 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 18.092 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 18.093 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 18.093 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 18.093 * [backup-simplify]: Simplify (+ 0) into 0 18.094 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 18.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 18.095 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.095 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 18.096 * [backup-simplify]: Simplify (+ 0 0) into 0 18.096 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 18.096 * [taylor]: Taking taylor expansion of 0 in lambda2 18.096 * [backup-simplify]: Simplify 0 into 0 18.096 * [backup-simplify]: Simplify 0 into 0 18.096 * [backup-simplify]: Simplify (+ 0) into 0 18.097 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 18.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 18.098 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.098 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 18.099 * [backup-simplify]: Simplify (+ 0 0) into 0 18.099 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 18.099 * [backup-simplify]: Simplify 0 into 0 18.100 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 18.101 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 18.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 18.102 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.102 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 18.103 * [backup-simplify]: Simplify (+ 0 0) into 0 18.103 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 18.103 * [taylor]: Taking taylor expansion of 0 in lambda2 18.103 * [backup-simplify]: Simplify 0 into 0 18.103 * [backup-simplify]: Simplify 0 into 0 18.103 * [backup-simplify]: Simplify 0 into 0 18.104 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 18.105 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 18.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 18.106 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.106 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 18.107 * [backup-simplify]: Simplify (+ 0 0) into 0 18.107 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 18.107 * [backup-simplify]: Simplify 0 into 0 18.108 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 18.109 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.109 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 18.111 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 18.112 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 18.112 * [backup-simplify]: Simplify (+ 0 0) into 0 18.113 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0 18.113 * [taylor]: Taking taylor expansion of 0 in lambda2 18.113 * [backup-simplify]: Simplify 0 into 0 18.113 * [backup-simplify]: Simplify 0 into 0 18.113 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))) into (* (sin lambda2) (sin lambda1)) 18.113 * [backup-simplify]: Simplify (log (exp (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 18.114 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 18.114 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 18.114 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 18.114 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 18.114 * [taylor]: Taking taylor expansion of -1 in lambda2 18.114 * [backup-simplify]: Simplify -1 into -1 18.114 * [taylor]: Taking taylor expansion of lambda1 in lambda2 18.114 * [backup-simplify]: Simplify lambda1 into lambda1 18.114 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 18.114 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 18.114 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 18.114 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 18.114 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 18.114 * [taylor]: Taking taylor expansion of -1 in lambda2 18.114 * [backup-simplify]: Simplify -1 into -1 18.114 * [taylor]: Taking taylor expansion of lambda2 in lambda2 18.114 * [backup-simplify]: Simplify 0 into 0 18.114 * [backup-simplify]: Simplify 1 into 1 18.115 * [backup-simplify]: Simplify (/ -1 1) into -1 18.115 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 18.115 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 18.115 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 18.115 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 18.115 * [taylor]: Taking taylor expansion of -1 in lambda1 18.115 * [backup-simplify]: Simplify -1 into -1 18.115 * [taylor]: Taking taylor expansion of lambda1 in lambda1 18.115 * [backup-simplify]: Simplify 0 into 0 18.115 * [backup-simplify]: Simplify 1 into 1 18.115 * [backup-simplify]: Simplify (/ -1 1) into -1 18.115 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 18.115 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 18.115 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 18.116 * [taylor]: Taking taylor expansion of -1 in lambda1 18.116 * [backup-simplify]: Simplify -1 into -1 18.116 * [taylor]: Taking taylor expansion of lambda2 in lambda1 18.116 * [backup-simplify]: Simplify lambda2 into lambda2 18.116 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 18.116 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 18.116 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 18.116 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 18.116 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 18.116 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 18.116 * [taylor]: Taking taylor expansion of -1 in lambda1 18.116 * [backup-simplify]: Simplify -1 into -1 18.116 * [taylor]: Taking taylor expansion of lambda1 in lambda1 18.116 * [backup-simplify]: Simplify 0 into 0 18.116 * [backup-simplify]: Simplify 1 into 1 18.117 * [backup-simplify]: Simplify (/ -1 1) into -1 18.117 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 18.117 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 18.117 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 18.117 * [taylor]: Taking taylor expansion of -1 in lambda1 18.117 * [backup-simplify]: Simplify -1 into -1 18.117 * [taylor]: Taking taylor expansion of lambda2 in lambda1 18.117 * [backup-simplify]: Simplify lambda2 into lambda2 18.117 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 18.117 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 18.117 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 18.117 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 18.117 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 18.118 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 18.118 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 18.118 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 18.118 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 18.118 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 18.118 * [taylor]: Taking taylor expansion of -1 in lambda2 18.118 * [backup-simplify]: Simplify -1 into -1 18.118 * [taylor]: Taking taylor expansion of lambda1 in lambda2 18.118 * [backup-simplify]: Simplify lambda1 into lambda1 18.118 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 18.118 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 18.118 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 18.118 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 18.118 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 18.118 * [taylor]: Taking taylor expansion of -1 in lambda2 18.118 * [backup-simplify]: Simplify -1 into -1 18.118 * [taylor]: Taking taylor expansion of lambda2 in lambda2 18.118 * [backup-simplify]: Simplify 0 into 0 18.118 * [backup-simplify]: Simplify 1 into 1 18.119 * [backup-simplify]: Simplify (/ -1 1) into -1 18.119 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 18.119 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 18.119 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 18.119 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 18.119 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 18.119 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 18.120 * [backup-simplify]: Simplify (+ 0) into 0 18.120 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 18.120 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 18.121 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.122 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 18.122 * [backup-simplify]: Simplify (+ 0 0) into 0 18.122 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 18.122 * [taylor]: Taking taylor expansion of 0 in lambda2 18.122 * [backup-simplify]: Simplify 0 into 0 18.122 * [backup-simplify]: Simplify 0 into 0 18.123 * [backup-simplify]: Simplify (+ 0) into 0 18.123 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 18.123 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 18.124 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.125 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 18.125 * [backup-simplify]: Simplify (+ 0 0) into 0 18.125 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 18.125 * [backup-simplify]: Simplify 0 into 0 18.126 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 18.127 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 18.127 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 18.128 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.128 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 18.129 * [backup-simplify]: Simplify (+ 0 0) into 0 18.129 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 18.129 * [taylor]: Taking taylor expansion of 0 in lambda2 18.129 * [backup-simplify]: Simplify 0 into 0 18.129 * [backup-simplify]: Simplify 0 into 0 18.130 * [backup-simplify]: Simplify 0 into 0 18.130 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 18.131 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 18.131 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 18.132 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.133 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 18.133 * [backup-simplify]: Simplify (+ 0 0) into 0 18.134 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 18.134 * [backup-simplify]: Simplify 0 into 0 18.135 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 18.136 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.136 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 18.138 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 18.138 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 18.139 * [backup-simplify]: Simplify (+ 0 0) into 0 18.139 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 18.139 * [taylor]: Taking taylor expansion of 0 in lambda2 18.140 * [backup-simplify]: Simplify 0 into 0 18.140 * [backup-simplify]: Simplify 0 into 0 18.140 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2)) 18.140 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 18.140 * [backup-simplify]: Simplify (log (exp (* (sin phi1) (sin phi2)))) into (* (sin phi1) (sin phi2)) 18.140 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 18.140 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 18.140 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 18.140 * [taylor]: Taking taylor expansion of phi1 in phi2 18.140 * [backup-simplify]: Simplify phi1 into phi1 18.140 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 18.140 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 18.140 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 18.140 * [taylor]: Taking taylor expansion of phi2 in phi2 18.140 * [backup-simplify]: Simplify 0 into 0 18.140 * [backup-simplify]: Simplify 1 into 1 18.140 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 18.140 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 18.140 * [taylor]: Taking taylor expansion of phi1 in phi1 18.140 * [backup-simplify]: Simplify 0 into 0 18.140 * [backup-simplify]: Simplify 1 into 1 18.140 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 18.141 * [taylor]: Taking taylor expansion of phi2 in phi1 18.141 * [backup-simplify]: Simplify phi2 into phi2 18.141 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 18.141 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 18.141 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 18.141 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 18.141 * [taylor]: Taking taylor expansion of phi1 in phi1 18.141 * [backup-simplify]: Simplify 0 into 0 18.141 * [backup-simplify]: Simplify 1 into 1 18.141 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 18.141 * [taylor]: Taking taylor expansion of phi2 in phi1 18.141 * [backup-simplify]: Simplify phi2 into phi2 18.141 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 18.141 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 18.141 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 18.141 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 18.141 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 18.141 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 18.141 * [taylor]: Taking taylor expansion of 0 in phi2 18.141 * [backup-simplify]: Simplify 0 into 0 18.141 * [backup-simplify]: Simplify 0 into 0 18.142 * [backup-simplify]: Simplify (+ 0) into 0 18.142 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 18.143 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.144 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 18.144 * [backup-simplify]: Simplify (+ 0 0) into 0 18.145 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 18.145 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 18.145 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 18.145 * [taylor]: Taking taylor expansion of phi2 in phi2 18.145 * [backup-simplify]: Simplify 0 into 0 18.145 * [backup-simplify]: Simplify 1 into 1 18.145 * [backup-simplify]: Simplify 0 into 0 18.145 * [backup-simplify]: Simplify 0 into 0 18.146 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 18.147 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 18.148 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.148 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 18.149 * [backup-simplify]: Simplify (+ 0 0) into 0 18.149 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.150 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 18.150 * [taylor]: Taking taylor expansion of 0 in phi2 18.150 * [backup-simplify]: Simplify 0 into 0 18.150 * [backup-simplify]: Simplify 0 into 0 18.151 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 18.151 * [backup-simplify]: Simplify 1 into 1 18.151 * [backup-simplify]: Simplify 0 into 0 18.152 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 18.153 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.155 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 18.155 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 18.156 * [backup-simplify]: Simplify (+ 0 0) into 0 18.157 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 18.159 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 18.159 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 18.159 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 18.159 * [taylor]: Taking taylor expansion of 1/6 in phi2 18.159 * [backup-simplify]: Simplify 1/6 into 1/6 18.159 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 18.159 * [taylor]: Taking taylor expansion of phi2 in phi2 18.159 * [backup-simplify]: Simplify 0 into 0 18.159 * [backup-simplify]: Simplify 1 into 1 18.159 * [backup-simplify]: Simplify (* 1/6 0) into 0 18.160 * [backup-simplify]: Simplify (- 0) into 0 18.160 * [backup-simplify]: Simplify 0 into 0 18.160 * [backup-simplify]: Simplify 0 into 0 18.161 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.161 * [backup-simplify]: Simplify 0 into 0 18.161 * [backup-simplify]: Simplify 0 into 0 18.163 * [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 18.164 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.166 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 18.167 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 18.167 * [backup-simplify]: Simplify (+ 0 0) into 0 18.169 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 18.170 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 18.171 * [taylor]: Taking taylor expansion of 0 in phi2 18.171 * [backup-simplify]: Simplify 0 into 0 18.171 * [backup-simplify]: Simplify 0 into 0 18.171 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2) 18.171 * [backup-simplify]: Simplify (log (exp (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 18.171 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0 18.171 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 18.171 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 18.171 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 18.171 * [taylor]: Taking taylor expansion of phi2 in phi2 18.171 * [backup-simplify]: Simplify 0 into 0 18.171 * [backup-simplify]: Simplify 1 into 1 18.171 * [backup-simplify]: Simplify (/ 1 1) into 1 18.172 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 18.172 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 18.172 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 18.172 * [taylor]: Taking taylor expansion of phi1 in phi2 18.172 * [backup-simplify]: Simplify phi1 into phi1 18.172 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 18.172 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 18.172 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 18.172 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 18.172 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 18.172 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 18.172 * [taylor]: Taking taylor expansion of phi2 in phi1 18.172 * [backup-simplify]: Simplify phi2 into phi2 18.172 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 18.172 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 18.172 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 18.172 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 18.172 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 18.172 * [taylor]: Taking taylor expansion of phi1 in phi1 18.172 * [backup-simplify]: Simplify 0 into 0 18.172 * [backup-simplify]: Simplify 1 into 1 18.173 * [backup-simplify]: Simplify (/ 1 1) into 1 18.173 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 18.173 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 18.173 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 18.173 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 18.173 * [taylor]: Taking taylor expansion of phi2 in phi1 18.173 * [backup-simplify]: Simplify phi2 into phi2 18.173 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 18.173 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 18.173 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 18.173 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 18.173 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 18.173 * [taylor]: Taking taylor expansion of phi1 in phi1 18.173 * [backup-simplify]: Simplify 0 into 0 18.173 * [backup-simplify]: Simplify 1 into 1 18.174 * [backup-simplify]: Simplify (/ 1 1) into 1 18.174 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 18.174 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 18.174 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 18.174 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 18.174 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 18.174 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 18.174 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 18.174 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 18.174 * [taylor]: Taking taylor expansion of phi2 in phi2 18.174 * [backup-simplify]: Simplify 0 into 0 18.174 * [backup-simplify]: Simplify 1 into 1 18.175 * [backup-simplify]: Simplify (/ 1 1) into 1 18.175 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 18.175 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 18.175 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 18.175 * [taylor]: Taking taylor expansion of phi1 in phi2 18.175 * [backup-simplify]: Simplify phi1 into phi1 18.175 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 18.175 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 18.175 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 18.175 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 18.175 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 18.175 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 18.176 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 18.176 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 18.176 * [backup-simplify]: Simplify (+ 0) into 0 18.177 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 18.177 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 18.178 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.178 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 18.179 * [backup-simplify]: Simplify (+ 0 0) into 0 18.179 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 18.179 * [taylor]: Taking taylor expansion of 0 in phi2 18.179 * [backup-simplify]: Simplify 0 into 0 18.179 * [backup-simplify]: Simplify 0 into 0 18.179 * [backup-simplify]: Simplify (+ 0) into 0 18.180 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 18.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 18.181 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.181 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 18.182 * [backup-simplify]: Simplify (+ 0 0) into 0 18.182 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 18.182 * [backup-simplify]: Simplify 0 into 0 18.183 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 18.183 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 18.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 18.184 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.185 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 18.185 * [backup-simplify]: Simplify (+ 0 0) into 0 18.186 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 18.186 * [taylor]: Taking taylor expansion of 0 in phi2 18.186 * [backup-simplify]: Simplify 0 into 0 18.186 * [backup-simplify]: Simplify 0 into 0 18.186 * [backup-simplify]: Simplify 0 into 0 18.187 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 18.188 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 18.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 18.189 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.189 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 18.189 * [backup-simplify]: Simplify (+ 0 0) into 0 18.190 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 18.190 * [backup-simplify]: Simplify 0 into 0 18.191 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 18.194 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 18.196 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 18.197 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 18.197 * [backup-simplify]: Simplify (+ 0 0) into 0 18.198 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0 18.198 * [taylor]: Taking taylor expansion of 0 in phi2 18.198 * [backup-simplify]: Simplify 0 into 0 18.198 * [backup-simplify]: Simplify 0 into 0 18.198 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2)) 18.198 * [backup-simplify]: Simplify (log (exp (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 18.198 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 18.198 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 18.198 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 18.198 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 18.199 * [taylor]: Taking taylor expansion of -1 in phi2 18.199 * [backup-simplify]: Simplify -1 into -1 18.199 * [taylor]: Taking taylor expansion of phi1 in phi2 18.199 * [backup-simplify]: Simplify phi1 into phi1 18.199 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 18.199 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 18.199 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 18.199 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 18.199 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 18.199 * [taylor]: Taking taylor expansion of -1 in phi2 18.199 * [backup-simplify]: Simplify -1 into -1 18.199 * [taylor]: Taking taylor expansion of phi2 in phi2 18.199 * [backup-simplify]: Simplify 0 into 0 18.199 * [backup-simplify]: Simplify 1 into 1 18.199 * [backup-simplify]: Simplify (/ -1 1) into -1 18.200 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 18.200 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 18.200 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 18.200 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 18.200 * [taylor]: Taking taylor expansion of -1 in phi1 18.200 * [backup-simplify]: Simplify -1 into -1 18.200 * [taylor]: Taking taylor expansion of phi1 in phi1 18.200 * [backup-simplify]: Simplify 0 into 0 18.200 * [backup-simplify]: Simplify 1 into 1 18.200 * [backup-simplify]: Simplify (/ -1 1) into -1 18.200 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 18.200 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 18.200 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 18.200 * [taylor]: Taking taylor expansion of -1 in phi1 18.200 * [backup-simplify]: Simplify -1 into -1 18.200 * [taylor]: Taking taylor expansion of phi2 in phi1 18.200 * [backup-simplify]: Simplify phi2 into phi2 18.200 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 18.201 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 18.201 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 18.201 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 18.201 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 18.201 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 18.201 * [taylor]: Taking taylor expansion of -1 in phi1 18.201 * [backup-simplify]: Simplify -1 into -1 18.201 * [taylor]: Taking taylor expansion of phi1 in phi1 18.201 * [backup-simplify]: Simplify 0 into 0 18.201 * [backup-simplify]: Simplify 1 into 1 18.201 * [backup-simplify]: Simplify (/ -1 1) into -1 18.201 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 18.201 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 18.201 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 18.201 * [taylor]: Taking taylor expansion of -1 in phi1 18.201 * [backup-simplify]: Simplify -1 into -1 18.201 * [taylor]: Taking taylor expansion of phi2 in phi1 18.201 * [backup-simplify]: Simplify phi2 into phi2 18.201 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 18.201 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 18.201 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 18.201 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 18.201 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 18.202 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 18.202 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 18.202 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 18.202 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 18.202 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 18.202 * [taylor]: Taking taylor expansion of -1 in phi2 18.202 * [backup-simplify]: Simplify -1 into -1 18.202 * [taylor]: Taking taylor expansion of phi1 in phi2 18.202 * [backup-simplify]: Simplify phi1 into phi1 18.202 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 18.202 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 18.202 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 18.202 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 18.202 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 18.202 * [taylor]: Taking taylor expansion of -1 in phi2 18.202 * [backup-simplify]: Simplify -1 into -1 18.202 * [taylor]: Taking taylor expansion of phi2 in phi2 18.202 * [backup-simplify]: Simplify 0 into 0 18.202 * [backup-simplify]: Simplify 1 into 1 18.202 * [backup-simplify]: Simplify (/ -1 1) into -1 18.202 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 18.202 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 18.202 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 18.202 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 18.203 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 18.203 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 18.203 * [backup-simplify]: Simplify (+ 0) into 0 18.203 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 18.203 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 18.204 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.204 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 18.204 * [backup-simplify]: Simplify (+ 0 0) into 0 18.204 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 18.204 * [taylor]: Taking taylor expansion of 0 in phi2 18.205 * [backup-simplify]: Simplify 0 into 0 18.205 * [backup-simplify]: Simplify 0 into 0 18.205 * [backup-simplify]: Simplify (+ 0) into 0 18.205 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 18.205 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 18.206 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.206 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 18.206 * [backup-simplify]: Simplify (+ 0 0) into 0 18.206 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 18.206 * [backup-simplify]: Simplify 0 into 0 18.207 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 18.207 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 18.207 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 18.208 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.208 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 18.209 * [backup-simplify]: Simplify (+ 0 0) into 0 18.209 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 18.209 * [taylor]: Taking taylor expansion of 0 in phi2 18.209 * [backup-simplify]: Simplify 0 into 0 18.209 * [backup-simplify]: Simplify 0 into 0 18.209 * [backup-simplify]: Simplify 0 into 0 18.210 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 18.210 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 18.210 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 18.211 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.211 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 18.211 * [backup-simplify]: Simplify (+ 0 0) into 0 18.212 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 18.212 * [backup-simplify]: Simplify 0 into 0 18.212 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 18.213 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.213 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 18.214 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 18.214 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 18.214 * [backup-simplify]: Simplify (+ 0 0) into 0 18.215 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 18.215 * [taylor]: Taking taylor expansion of 0 in phi2 18.215 * [backup-simplify]: Simplify 0 into 0 18.215 * [backup-simplify]: Simplify 0 into 0 18.215 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 18.215 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 18.215 * [backup-simplify]: Simplify (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (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))))) 18.215 * [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 18.215 * [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 18.216 * [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))))) 18.216 * [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 18.216 * [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))))) 18.216 * [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 18.217 * [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))))) 18.217 * [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 18.217 * [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))))) 18.217 * [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 18.217 * [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))))) 18.217 * [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 18.218 * [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))))) 18.218 * [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 18.218 * [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))))) 18.218 * [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 18.218 * [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))))) 18.219 * [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))))) 18.219 * [taylor]: Taking taylor expansion of 0 in phi2 18.219 * [backup-simplify]: Simplify 0 into 0 18.219 * [taylor]: Taking taylor expansion of 0 in lambda1 18.219 * [backup-simplify]: Simplify 0 into 0 18.219 * [taylor]: Taking taylor expansion of 0 in lambda2 18.219 * [backup-simplify]: Simplify 0 into 0 18.219 * [backup-simplify]: Simplify 0 into 0 18.219 * [taylor]: Taking taylor expansion of 0 in lambda1 18.219 * [backup-simplify]: Simplify 0 into 0 18.219 * [taylor]: Taking taylor expansion of 0 in lambda2 18.219 * [backup-simplify]: Simplify 0 into 0 18.219 * [backup-simplify]: Simplify 0 into 0 18.219 * [taylor]: Taking taylor expansion of 0 in lambda2 18.219 * [backup-simplify]: Simplify 0 into 0 18.219 * [backup-simplify]: Simplify 0 into 0 18.219 * [backup-simplify]: Simplify 0 into 0 18.219 * [taylor]: Taking taylor expansion of 0 in phi2 18.219 * [backup-simplify]: Simplify 0 into 0 18.219 * [taylor]: Taking taylor expansion of 0 in lambda1 18.219 * [backup-simplify]: Simplify 0 into 0 18.219 * [taylor]: Taking taylor expansion of 0 in lambda2 18.219 * [backup-simplify]: Simplify 0 into 0 18.219 * [backup-simplify]: Simplify 0 into 0 18.219 * [taylor]: Taking taylor expansion of 0 in lambda1 18.219 * [backup-simplify]: Simplify 0 into 0 18.219 * [taylor]: Taking taylor expansion of 0 in lambda2 18.219 * [backup-simplify]: Simplify 0 into 0 18.219 * [backup-simplify]: Simplify 0 into 0 18.220 * [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))))) 18.220 * [backup-simplify]: Simplify (acos (+ (log (exp (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (log (exp (* (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)))))))) 18.220 * [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 18.220 * [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 18.220 * [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)))))))) 18.221 * [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 18.221 * [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)))))))) 18.221 * [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 18.221 * [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)))))))) 18.221 * [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 18.222 * [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)))))))) 18.222 * [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 18.222 * [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)))))))) 18.222 * [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 18.223 * [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)))))))) 18.223 * [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 18.223 * [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)))))))) 18.223 * [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 18.224 * [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)))))))) 18.224 * [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)))))))) 18.224 * [taylor]: Taking taylor expansion of 0 in phi2 18.224 * [backup-simplify]: Simplify 0 into 0 18.224 * [taylor]: Taking taylor expansion of 0 in lambda1 18.224 * [backup-simplify]: Simplify 0 into 0 18.224 * [taylor]: Taking taylor expansion of 0 in lambda2 18.224 * [backup-simplify]: Simplify 0 into 0 18.224 * [backup-simplify]: Simplify 0 into 0 18.224 * [taylor]: Taking taylor expansion of 0 in lambda1 18.224 * [backup-simplify]: Simplify 0 into 0 18.224 * [taylor]: Taking taylor expansion of 0 in lambda2 18.224 * [backup-simplify]: Simplify 0 into 0 18.224 * [backup-simplify]: Simplify 0 into 0 18.224 * [taylor]: Taking taylor expansion of 0 in lambda2 18.224 * [backup-simplify]: Simplify 0 into 0 18.224 * [backup-simplify]: Simplify 0 into 0 18.224 * [backup-simplify]: Simplify 0 into 0 18.224 * [taylor]: Taking taylor expansion of 0 in phi2 18.224 * [backup-simplify]: Simplify 0 into 0 18.224 * [taylor]: Taking taylor expansion of 0 in lambda1 18.224 * [backup-simplify]: Simplify 0 into 0 18.224 * [taylor]: Taking taylor expansion of 0 in lambda2 18.225 * [backup-simplify]: Simplify 0 into 0 18.225 * [backup-simplify]: Simplify 0 into 0 18.225 * [taylor]: Taking taylor expansion of 0 in lambda1 18.225 * [backup-simplify]: Simplify 0 into 0 18.225 * [taylor]: Taking taylor expansion of 0 in lambda2 18.225 * [backup-simplify]: Simplify 0 into 0 18.225 * [backup-simplify]: Simplify 0 into 0 18.226 * [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))))) 18.226 * [backup-simplify]: Simplify (acos (+ (log (exp (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (log (exp (* (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)))))))) 18.226 * [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 18.226 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 18.227 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 18.227 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 18.228 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 18.228 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 18.229 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 18.229 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 18.230 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 18.230 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 18.231 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 18.231 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 18.231 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 18.232 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 18.232 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 18.232 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 18.233 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 18.234 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 18.234 * [taylor]: Taking taylor expansion of 0 in phi2 18.234 * [backup-simplify]: Simplify 0 into 0 18.234 * [taylor]: Taking taylor expansion of 0 in lambda1 18.234 * [backup-simplify]: Simplify 0 into 0 18.234 * [taylor]: Taking taylor expansion of 0 in lambda2 18.234 * [backup-simplify]: Simplify 0 into 0 18.234 * [backup-simplify]: Simplify 0 into 0 18.234 * [taylor]: Taking taylor expansion of 0 in lambda1 18.234 * [backup-simplify]: Simplify 0 into 0 18.234 * [taylor]: Taking taylor expansion of 0 in lambda2 18.234 * [backup-simplify]: Simplify 0 into 0 18.234 * [backup-simplify]: Simplify 0 into 0 18.234 * [taylor]: Taking taylor expansion of 0 in lambda2 18.235 * [backup-simplify]: Simplify 0 into 0 18.235 * [backup-simplify]: Simplify 0 into 0 18.235 * [backup-simplify]: Simplify 0 into 0 18.235 * [taylor]: Taking taylor expansion of 0 in phi2 18.235 * [backup-simplify]: Simplify 0 into 0 18.235 * [taylor]: Taking taylor expansion of 0 in lambda1 18.235 * [backup-simplify]: Simplify 0 into 0 18.235 * [taylor]: Taking taylor expansion of 0 in lambda2 18.235 * [backup-simplify]: Simplify 0 into 0 18.235 * [backup-simplify]: Simplify 0 into 0 18.235 * [taylor]: Taking taylor expansion of 0 in lambda1 18.235 * [backup-simplify]: Simplify 0 into 0 18.235 * [taylor]: Taking taylor expansion of 0 in lambda2 18.235 * [backup-simplify]: Simplify 0 into 0 18.235 * [backup-simplify]: Simplify 0 into 0 18.236 * [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))))) 18.236 * * * * [progress]: [ 4 / 4 ] generating series at (2) 18.237 * [backup-simplify]: Simplify (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (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)))))) 18.237 * [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 18.237 * [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 18.237 * [taylor]: Taking taylor expansion of R in R 18.237 * [backup-simplify]: Simplify 0 into 0 18.237 * [backup-simplify]: Simplify 1 into 1 18.237 * [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 18.238 * [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))))) 18.238 * [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 18.238 * [taylor]: Taking taylor expansion of R in lambda2 18.238 * [backup-simplify]: Simplify R into R 18.238 * [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 18.238 * [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))))) 18.238 * [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 18.238 * [taylor]: Taking taylor expansion of R in lambda1 18.239 * [backup-simplify]: Simplify R into R 18.239 * [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 18.239 * [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))))) 18.239 * [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 18.239 * [taylor]: Taking taylor expansion of R in phi2 18.239 * [backup-simplify]: Simplify R into R 18.239 * [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 18.240 * [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))))) 18.240 * [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 18.240 * [taylor]: Taking taylor expansion of R in phi1 18.240 * [backup-simplify]: Simplify R into R 18.240 * [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 18.240 * [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))))) 18.240 * [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 18.240 * [taylor]: Taking taylor expansion of R in phi1 18.240 * [backup-simplify]: Simplify R into R 18.241 * [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 18.241 * [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))))) 18.242 * [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)))))) 18.242 * [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 18.242 * [taylor]: Taking taylor expansion of R in phi2 18.242 * [backup-simplify]: Simplify R into R 18.242 * [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 18.242 * [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))))) 18.243 * [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)))))) 18.243 * [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 18.243 * [taylor]: Taking taylor expansion of R in lambda1 18.243 * [backup-simplify]: Simplify R into R 18.243 * [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 18.244 * [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))))) 18.244 * [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)))))) 18.244 * [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 18.244 * [taylor]: Taking taylor expansion of R in lambda2 18.244 * [backup-simplify]: Simplify R into R 18.244 * [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 18.245 * [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))))) 18.246 * [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)))))) 18.246 * [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 18.246 * [taylor]: Taking taylor expansion of R in R 18.246 * [backup-simplify]: Simplify 0 into 0 18.246 * [backup-simplify]: Simplify 1 into 1 18.246 * [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 18.246 * [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))))) 18.247 * [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 18.247 * [backup-simplify]: Simplify 0 into 0 18.248 * [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 18.248 * [taylor]: Taking taylor expansion of 0 in phi2 18.248 * [backup-simplify]: Simplify 0 into 0 18.248 * [taylor]: Taking taylor expansion of 0 in lambda1 18.248 * [backup-simplify]: Simplify 0 into 0 18.248 * [taylor]: Taking taylor expansion of 0 in lambda2 18.248 * [backup-simplify]: Simplify 0 into 0 18.248 * [taylor]: Taking taylor expansion of 0 in R 18.248 * [backup-simplify]: Simplify 0 into 0 18.248 * [backup-simplify]: Simplify 0 into 0 18.248 * [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 18.248 * [taylor]: Taking taylor expansion of 0 in lambda1 18.249 * [backup-simplify]: Simplify 0 into 0 18.249 * [taylor]: Taking taylor expansion of 0 in lambda2 18.249 * [backup-simplify]: Simplify 0 into 0 18.249 * [taylor]: Taking taylor expansion of 0 in R 18.249 * [backup-simplify]: Simplify 0 into 0 18.249 * [backup-simplify]: Simplify 0 into 0 18.249 * [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 18.249 * [taylor]: Taking taylor expansion of 0 in lambda2 18.249 * [backup-simplify]: Simplify 0 into 0 18.249 * [taylor]: Taking taylor expansion of 0 in R 18.249 * [backup-simplify]: Simplify 0 into 0 18.249 * [backup-simplify]: Simplify 0 into 0 18.250 * [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 18.250 * [taylor]: Taking taylor expansion of 0 in R 18.250 * [backup-simplify]: Simplify 0 into 0 18.250 * [backup-simplify]: Simplify 0 into 0 18.251 * [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))))) 18.252 * [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))))) 18.253 * [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 18.253 * [taylor]: Taking taylor expansion of 0 in phi2 18.253 * [backup-simplify]: Simplify 0 into 0 18.253 * [taylor]: Taking taylor expansion of 0 in lambda1 18.253 * [backup-simplify]: Simplify 0 into 0 18.253 * [taylor]: Taking taylor expansion of 0 in lambda2 18.253 * [backup-simplify]: Simplify 0 into 0 18.253 * [taylor]: Taking taylor expansion of 0 in R 18.253 * [backup-simplify]: Simplify 0 into 0 18.253 * [backup-simplify]: Simplify 0 into 0 18.253 * [taylor]: Taking taylor expansion of 0 in lambda1 18.253 * [backup-simplify]: Simplify 0 into 0 18.253 * [taylor]: Taking taylor expansion of 0 in lambda2 18.254 * [backup-simplify]: Simplify 0 into 0 18.254 * [taylor]: Taking taylor expansion of 0 in R 18.254 * [backup-simplify]: Simplify 0 into 0 18.254 * [backup-simplify]: Simplify 0 into 0 18.255 * [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 18.255 * [taylor]: Taking taylor expansion of 0 in lambda1 18.255 * [backup-simplify]: Simplify 0 into 0 18.255 * [taylor]: Taking taylor expansion of 0 in lambda2 18.255 * [backup-simplify]: Simplify 0 into 0 18.255 * [taylor]: Taking taylor expansion of 0 in R 18.255 * [backup-simplify]: Simplify 0 into 0 18.255 * [backup-simplify]: Simplify 0 into 0 18.255 * [taylor]: Taking taylor expansion of 0 in lambda2 18.255 * [backup-simplify]: Simplify 0 into 0 18.255 * [taylor]: Taking taylor expansion of 0 in R 18.255 * [backup-simplify]: Simplify 0 into 0 18.255 * [backup-simplify]: Simplify 0 into 0 18.255 * [taylor]: Taking taylor expansion of 0 in lambda2 18.255 * [backup-simplify]: Simplify 0 into 0 18.255 * [taylor]: Taking taylor expansion of 0 in R 18.255 * [backup-simplify]: Simplify 0 into 0 18.255 * [backup-simplify]: Simplify 0 into 0 18.256 * [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 18.256 * [taylor]: Taking taylor expansion of 0 in lambda2 18.256 * [backup-simplify]: Simplify 0 into 0 18.256 * [taylor]: Taking taylor expansion of 0 in R 18.256 * [backup-simplify]: Simplify 0 into 0 18.256 * [backup-simplify]: Simplify 0 into 0 18.258 * [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)))))) 18.259 * [backup-simplify]: Simplify (* (acos (+ (log (exp (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (log (exp (* (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) 18.259 * [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 18.259 * [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 18.259 * [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 18.260 * [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)))))))) 18.260 * [taylor]: Taking taylor expansion of R in R 18.260 * [backup-simplify]: Simplify 0 into 0 18.260 * [backup-simplify]: Simplify 1 into 1 18.261 * [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)))))))) 18.261 * [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 18.261 * [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 18.261 * [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)))))))) 18.261 * [taylor]: Taking taylor expansion of R in lambda2 18.262 * [backup-simplify]: Simplify R into R 18.262 * [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) 18.262 * [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 18.262 * [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 18.263 * [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)))))))) 18.263 * [taylor]: Taking taylor expansion of R in lambda1 18.263 * [backup-simplify]: Simplify R into R 18.264 * [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) 18.264 * [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 18.264 * [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 18.265 * [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)))))))) 18.265 * [taylor]: Taking taylor expansion of R in phi2 18.265 * [backup-simplify]: Simplify R into R 18.266 * [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) 18.266 * [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 18.266 * [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 18.267 * [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)))))))) 18.267 * [taylor]: Taking taylor expansion of R in phi1 18.267 * [backup-simplify]: Simplify R into R 18.268 * [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) 18.268 * [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 18.268 * [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 18.269 * [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)))))))) 18.269 * [taylor]: Taking taylor expansion of R in phi1 18.269 * [backup-simplify]: Simplify R into R 18.270 * [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) 18.270 * [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 18.270 * [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 18.271 * [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)))))))) 18.271 * [taylor]: Taking taylor expansion of R in phi2 18.271 * [backup-simplify]: Simplify R into R 18.271 * [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) 18.271 * [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 18.271 * [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 18.272 * [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)))))))) 18.272 * [taylor]: Taking taylor expansion of R in lambda1 18.272 * [backup-simplify]: Simplify R into R 18.273 * [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) 18.273 * [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 18.273 * [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 18.274 * [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)))))))) 18.274 * [taylor]: Taking taylor expansion of R in lambda2 18.274 * [backup-simplify]: Simplify R into R 18.275 * [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) 18.275 * [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 18.275 * [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 18.276 * [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)))))))) 18.276 * [taylor]: Taking taylor expansion of R in R 18.276 * [backup-simplify]: Simplify 0 into 0 18.276 * [backup-simplify]: Simplify 1 into 1 18.277 * [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)))))))) 18.278 * [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)))))))) 18.279 * [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 18.279 * [taylor]: Taking taylor expansion of 0 in phi2 18.279 * [backup-simplify]: Simplify 0 into 0 18.279 * [taylor]: Taking taylor expansion of 0 in lambda1 18.279 * [backup-simplify]: Simplify 0 into 0 18.279 * [taylor]: Taking taylor expansion of 0 in lambda2 18.279 * [backup-simplify]: Simplify 0 into 0 18.279 * [taylor]: Taking taylor expansion of 0 in R 18.279 * [backup-simplify]: Simplify 0 into 0 18.280 * [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 18.280 * [taylor]: Taking taylor expansion of 0 in lambda1 18.280 * [backup-simplify]: Simplify 0 into 0 18.280 * [taylor]: Taking taylor expansion of 0 in lambda2 18.280 * [backup-simplify]: Simplify 0 into 0 18.280 * [taylor]: Taking taylor expansion of 0 in R 18.280 * [backup-simplify]: Simplify 0 into 0 18.281 * [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 18.281 * [taylor]: Taking taylor expansion of 0 in lambda2 18.281 * [backup-simplify]: Simplify 0 into 0 18.281 * [taylor]: Taking taylor expansion of 0 in R 18.281 * [backup-simplify]: Simplify 0 into 0 18.282 * [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 18.282 * [taylor]: Taking taylor expansion of 0 in R 18.282 * [backup-simplify]: Simplify 0 into 0 18.284 * [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 18.284 * [backup-simplify]: Simplify 0 into 0 18.285 * [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 18.286 * [taylor]: Taking taylor expansion of 0 in phi2 18.286 * [backup-simplify]: Simplify 0 into 0 18.286 * [taylor]: Taking taylor expansion of 0 in lambda1 18.286 * [backup-simplify]: Simplify 0 into 0 18.286 * [taylor]: Taking taylor expansion of 0 in lambda2 18.286 * [backup-simplify]: Simplify 0 into 0 18.286 * [taylor]: Taking taylor expansion of 0 in R 18.286 * [backup-simplify]: Simplify 0 into 0 18.286 * [taylor]: Taking taylor expansion of 0 in lambda1 18.286 * [backup-simplify]: Simplify 0 into 0 18.286 * [taylor]: Taking taylor expansion of 0 in lambda2 18.286 * [backup-simplify]: Simplify 0 into 0 18.286 * [taylor]: Taking taylor expansion of 0 in R 18.286 * [backup-simplify]: Simplify 0 into 0 18.287 * [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 18.287 * [taylor]: Taking taylor expansion of 0 in lambda1 18.287 * [backup-simplify]: Simplify 0 into 0 18.287 * [taylor]: Taking taylor expansion of 0 in lambda2 18.287 * [backup-simplify]: Simplify 0 into 0 18.287 * [taylor]: Taking taylor expansion of 0 in R 18.287 * [backup-simplify]: Simplify 0 into 0 18.287 * [taylor]: Taking taylor expansion of 0 in lambda2 18.287 * [backup-simplify]: Simplify 0 into 0 18.287 * [taylor]: Taking taylor expansion of 0 in R 18.287 * [backup-simplify]: Simplify 0 into 0 18.287 * [taylor]: Taking taylor expansion of 0 in lambda2 18.287 * [backup-simplify]: Simplify 0 into 0 18.287 * [taylor]: Taking taylor expansion of 0 in R 18.287 * [backup-simplify]: Simplify 0 into 0 18.288 * [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 18.288 * [taylor]: Taking taylor expansion of 0 in lambda2 18.288 * [backup-simplify]: Simplify 0 into 0 18.289 * [taylor]: Taking taylor expansion of 0 in R 18.289 * [backup-simplify]: Simplify 0 into 0 18.289 * [taylor]: Taking taylor expansion of 0 in R 18.289 * [backup-simplify]: Simplify 0 into 0 18.289 * [taylor]: Taking taylor expansion of 0 in R 18.289 * [backup-simplify]: Simplify 0 into 0 18.289 * [taylor]: Taking taylor expansion of 0 in R 18.289 * [backup-simplify]: Simplify 0 into 0 18.290 * [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 18.290 * [taylor]: Taking taylor expansion of 0 in R 18.290 * [backup-simplify]: Simplify 0 into 0 18.290 * [backup-simplify]: Simplify 0 into 0 18.290 * [backup-simplify]: Simplify 0 into 0 18.290 * [backup-simplify]: Simplify 0 into 0 18.290 * [backup-simplify]: Simplify 0 into 0 18.293 * [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 18.293 * [backup-simplify]: Simplify 0 into 0 18.294 * [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) 18.295 * [backup-simplify]: Simplify (* (acos (+ (log (exp (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (log (exp (* (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)) 18.296 * [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 18.296 * [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 18.296 * [taylor]: Taking taylor expansion of -1 in R 18.296 * [backup-simplify]: Simplify -1 into -1 18.296 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 18.296 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 18.297 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 18.297 * [taylor]: Taking taylor expansion of R in R 18.297 * [backup-simplify]: Simplify 0 into 0 18.297 * [backup-simplify]: Simplify 1 into 1 18.297 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 18.298 * [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 18.298 * [taylor]: Taking taylor expansion of -1 in lambda2 18.298 * [backup-simplify]: Simplify -1 into -1 18.298 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 18.298 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 18.298 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 18.298 * [taylor]: Taking taylor expansion of R in lambda2 18.299 * [backup-simplify]: Simplify R into R 18.299 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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) 18.299 * [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 18.299 * [taylor]: Taking taylor expansion of -1 in lambda1 18.300 * [backup-simplify]: Simplify -1 into -1 18.300 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1 18.300 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 18.300 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 18.300 * [taylor]: Taking taylor expansion of R in lambda1 18.300 * [backup-simplify]: Simplify R into R 18.301 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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) 18.301 * [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 18.301 * [taylor]: Taking taylor expansion of -1 in phi2 18.301 * [backup-simplify]: Simplify -1 into -1 18.301 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi2 18.301 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 18.302 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 18.302 * [taylor]: Taking taylor expansion of R in phi2 18.302 * [backup-simplify]: Simplify R into R 18.303 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 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) 18.303 * [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 18.303 * [taylor]: Taking taylor expansion of -1 in phi1 18.303 * [backup-simplify]: Simplify -1 into -1 18.303 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1 18.303 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 18.304 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 18.304 * [taylor]: Taking taylor expansion of R in phi1 18.304 * [backup-simplify]: Simplify R into R 18.305 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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) 18.305 * [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 18.305 * [taylor]: Taking taylor expansion of -1 in phi1 18.305 * [backup-simplify]: Simplify -1 into -1 18.305 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 18.305 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 18.306 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 18.306 * [taylor]: Taking taylor expansion of R in phi1 18.306 * [backup-simplify]: Simplify R into R 18.307 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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) 18.308 * [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)) 18.308 * [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 18.308 * [taylor]: Taking taylor expansion of -1 in phi2 18.308 * [backup-simplify]: Simplify -1 into -1 18.308 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 18.308 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 18.309 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 18.309 * [taylor]: Taking taylor expansion of R in phi2 18.309 * [backup-simplify]: Simplify R into R 18.310 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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) 18.311 * [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)) 18.311 * [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 18.311 * [taylor]: Taking taylor expansion of -1 in lambda1 18.311 * [backup-simplify]: Simplify -1 into -1 18.311 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 18.311 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 18.312 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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)))))))) 18.312 * [taylor]: Taking taylor expansion of R in lambda1 18.312 * [backup-simplify]: Simplify R into R 18.313 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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) 18.314 * [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)) 18.314 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in lambda2 18.314 * [taylor]: Taking taylor expansion of -1 in lambda2 18.314 * [backup-simplify]: Simplify -1 into -1 18.314 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in lambda2 18.314 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 18.315 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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)))))))) 18.315 * [taylor]: Taking taylor expansion of R in lambda2 18.315 * [backup-simplify]: Simplify R into R 18.318 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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) 18.319 * [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)) 18.319 * [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 18.319 * [taylor]: Taking taylor expansion of -1 in R 18.319 * [backup-simplify]: Simplify -1 into -1 18.319 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R 18.319 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R 18.320 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 18.320 * [taylor]: Taking taylor expansion of R in R 18.320 * [backup-simplify]: Simplify 0 into 0 18.320 * [backup-simplify]: Simplify 1 into 1 18.321 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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)))))))) 18.322 * [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))))))))) 18.322 * [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))))))))) 18.324 * [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 18.325 * [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 18.325 * [taylor]: Taking taylor expansion of 0 in phi2 18.325 * [backup-simplify]: Simplify 0 into 0 18.325 * [taylor]: Taking taylor expansion of 0 in lambda1 18.325 * [backup-simplify]: Simplify 0 into 0 18.325 * [taylor]: Taking taylor expansion of 0 in lambda2 18.325 * [backup-simplify]: Simplify 0 into 0 18.326 * [taylor]: Taking taylor expansion of 0 in R 18.326 * [backup-simplify]: Simplify 0 into 0 18.327 * [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 18.328 * [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 18.328 * [taylor]: Taking taylor expansion of 0 in lambda1 18.328 * [backup-simplify]: Simplify 0 into 0 18.328 * [taylor]: Taking taylor expansion of 0 in lambda2 18.328 * [backup-simplify]: Simplify 0 into 0 18.328 * [taylor]: Taking taylor expansion of 0 in R 18.328 * [backup-simplify]: Simplify 0 into 0 18.329 * [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 18.331 * [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 18.331 * [taylor]: Taking taylor expansion of 0 in lambda2 18.331 * [backup-simplify]: Simplify 0 into 0 18.331 * [taylor]: Taking taylor expansion of 0 in R 18.331 * [backup-simplify]: Simplify 0 into 0 18.332 * [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 18.333 * [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 18.334 * [taylor]: Taking taylor expansion of 0 in R 18.334 * [backup-simplify]: Simplify 0 into 0 18.335 * [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 18.337 * [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 18.337 * [backup-simplify]: Simplify 0 into 0 18.338 * [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 18.340 * [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 18.340 * [taylor]: Taking taylor expansion of 0 in phi2 18.340 * [backup-simplify]: Simplify 0 into 0 18.340 * [taylor]: Taking taylor expansion of 0 in lambda1 18.340 * [backup-simplify]: Simplify 0 into 0 18.340 * [taylor]: Taking taylor expansion of 0 in lambda2 18.340 * [backup-simplify]: Simplify 0 into 0 18.340 * [taylor]: Taking taylor expansion of 0 in R 18.340 * [backup-simplify]: Simplify 0 into 0 18.340 * [taylor]: Taking taylor expansion of 0 in lambda1 18.340 * [backup-simplify]: Simplify 0 into 0 18.340 * [taylor]: Taking taylor expansion of 0 in lambda2 18.340 * [backup-simplify]: Simplify 0 into 0 18.340 * [taylor]: Taking taylor expansion of 0 in R 18.340 * [backup-simplify]: Simplify 0 into 0 18.341 * [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 18.343 * [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 18.343 * [taylor]: Taking taylor expansion of 0 in lambda1 18.343 * [backup-simplify]: Simplify 0 into 0 18.343 * [taylor]: Taking taylor expansion of 0 in lambda2 18.343 * [backup-simplify]: Simplify 0 into 0 18.343 * [taylor]: Taking taylor expansion of 0 in R 18.343 * [backup-simplify]: Simplify 0 into 0 18.343 * [taylor]: Taking taylor expansion of 0 in lambda2 18.343 * [backup-simplify]: Simplify 0 into 0 18.343 * [taylor]: Taking taylor expansion of 0 in R 18.343 * [backup-simplify]: Simplify 0 into 0 18.343 * [taylor]: Taking taylor expansion of 0 in lambda2 18.343 * [backup-simplify]: Simplify 0 into 0 18.343 * [taylor]: Taking taylor expansion of 0 in R 18.343 * [backup-simplify]: Simplify 0 into 0 18.344 * [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 18.346 * [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 18.346 * [taylor]: Taking taylor expansion of 0 in lambda2 18.347 * [backup-simplify]: Simplify 0 into 0 18.347 * [taylor]: Taking taylor expansion of 0 in R 18.347 * [backup-simplify]: Simplify 0 into 0 18.347 * [taylor]: Taking taylor expansion of 0 in R 18.347 * [backup-simplify]: Simplify 0 into 0 18.347 * [taylor]: Taking taylor expansion of 0 in R 18.347 * [backup-simplify]: Simplify 0 into 0 18.347 * [taylor]: Taking taylor expansion of 0 in R 18.347 * [backup-simplify]: Simplify 0 into 0 18.348 * [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 18.349 * [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 18.350 * [taylor]: Taking taylor expansion of 0 in R 18.350 * [backup-simplify]: Simplify 0 into 0 18.350 * [backup-simplify]: Simplify 0 into 0 18.350 * [backup-simplify]: Simplify 0 into 0 18.350 * [backup-simplify]: Simplify 0 into 0 18.350 * [backup-simplify]: Simplify 0 into 0 18.352 * [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 18.354 * [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 18.354 * [backup-simplify]: Simplify 0 into 0 18.355 * [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)))))) 18.356 * * * [progress]: simplifying candidates 18.356 * * * * [progress]: [ 1 / 70 ] simplifiying candidate # 18.356 * [simplify]: Simplifying (log (* (cbrt (exp (* (sin lambda1) (sin lambda2)))) (cbrt (exp (* (sin lambda1) (sin lambda2)))))) 18.356 * * [simplify]: iters left: 6 (9 enodes) 18.360 * * [simplify]: iters left: 5 (32 enodes) 18.368 * * [simplify]: iters left: 4 (42 enodes) 18.381 * * [simplify]: iters left: 3 (55 enodes) 18.395 * * [simplify]: iters left: 2 (82 enodes) 18.409 * * [simplify]: iters left: 1 (147 enodes) 18.451 * * [simplify]: Extracting #0: cost 1 inf + 0 18.451 * * [simplify]: Extracting #1: cost 4 inf + 0 18.452 * * [simplify]: Extracting #2: cost 7 inf + 0 18.452 * * [simplify]: Extracting #3: cost 9 inf + 0 18.452 * * [simplify]: Extracting #4: cost 29 inf + 0 18.452 * * [simplify]: Extracting #5: cost 81 inf + 1 18.452 * * [simplify]: Extracting #6: cost 88 inf + 728 18.453 * * [simplify]: Extracting #7: cost 51 inf + 7790 18.456 * * [simplify]: Extracting #8: cost 10 inf + 27988 18.459 * * [simplify]: Extracting #9: cost 0 inf + 35489 18.464 * * [simplify]: Extracting #10: cost 0 inf + 35027 18.468 * * [simplify]: Extracting #11: cost 0 inf + 34987 18.471 * [simplify]: Simplified to (log (* (cbrt (exp (* (sin lambda2) (sin lambda1)))) (cbrt (exp (* (sin lambda2) (sin lambda1)))))) 18.471 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (+ (log (* (cbrt (exp (* (sin lambda2) (sin lambda1)))) (cbrt (exp (* (sin lambda2) (sin lambda1)))))) (log (cbrt (exp (* (sin lambda1) (sin lambda2)))))))))) R)) 18.472 * * * * [progress]: [ 2 / 70 ] simplifiying candidate # 18.472 * [simplify]: Simplifying (log (sqrt (exp (* (sin lambda1) (sin lambda2))))) 18.472 * * [simplify]: iters left: 6 (8 enodes) 18.474 * * [simplify]: iters left: 5 (27 enodes) 18.477 * * [simplify]: iters left: 4 (35 enodes) 18.485 * * [simplify]: iters left: 3 (49 enodes) 18.500 * * [simplify]: iters left: 2 (76 enodes) 18.522 * * [simplify]: iters left: 1 (141 enodes) 18.557 * * [simplify]: Extracting #0: cost 1 inf + 0 18.557 * * [simplify]: Extracting #1: cost 3 inf + 0 18.557 * * [simplify]: Extracting #2: cost 6 inf + 0 18.558 * * [simplify]: Extracting #3: cost 31 inf + 0 18.558 * * [simplify]: Extracting #4: cost 85 inf + 1 18.559 * * [simplify]: Extracting #5: cost 85 inf + 1064 18.560 * * [simplify]: Extracting #6: cost 53 inf + 5478 18.564 * * [simplify]: Extracting #7: cost 20 inf + 18813 18.570 * * [simplify]: Extracting #8: cost 1 inf + 30565 18.578 * * [simplify]: Extracting #9: cost 0 inf + 30837 18.586 * [simplify]: Simplified to (log (sqrt (exp (* (sin lambda2) (sin lambda1))))) 18.586 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (+ (log (sqrt (exp (* (sin lambda2) (sin lambda1))))) (log (sqrt (exp (* (sin lambda1) (sin lambda2)))))))))) R)) 18.587 * * * * [progress]: [ 3 / 70 ] simplifiying candidate # 18.587 * [simplify]: Simplifying (log 1) 18.587 * * [simplify]: iters left: 1 (2 enodes) 18.590 * * [simplify]: Extracting #0: cost 1 inf + 0 18.590 * * [simplify]: Extracting #1: cost 0 inf + 1 18.590 * [simplify]: Simplified to 0 18.590 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (+ 0 (log (exp (* (sin lambda1) (sin lambda2))))))))) R)) 18.590 * * * * [progress]: [ 4 / 70 ] simplifiying candidate # 18.590 * [simplify]: Simplifying (sin lambda2) 18.590 * * [simplify]: iters left: 1 (2 enodes) 18.591 * * [simplify]: Extracting #0: cost 1 inf + 0 18.591 * * [simplify]: Extracting #1: cost 3 inf + 0 18.591 * * [simplify]: Extracting #2: cost 2 inf + 1 18.591 * * [simplify]: Extracting #3: cost 0 inf + 123 18.592 * [simplify]: Simplified to (sin lambda2) 18.592 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (log (exp (sin lambda1)))))))) R)) 18.592 * * * * [progress]: [ 5 / 70 ] simplifiying candidate # 18.592 * * * * [progress]: [ 6 / 70 ] simplifiying candidate # 18.592 * [simplify]: Simplifying (sin lambda2) 18.592 * * [simplify]: iters left: 1 (2 enodes) 18.593 * * [simplify]: Extracting #0: cost 1 inf + 0 18.593 * * [simplify]: Extracting #1: cost 3 inf + 0 18.593 * * [simplify]: Extracting #2: cost 2 inf + 1 18.593 * * [simplify]: Extracting #3: cost 0 inf + 123 18.593 * [simplify]: Simplified to (sin lambda2) 18.593 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (log (exp (sin lambda1)))))))) R)) 18.594 * * * * [progress]: [ 7 / 70 ] simplifiying candidate # 18.594 * * * * [progress]: [ 8 / 70 ] simplifiying candidate # 18.594 * [simplify]: Simplifying (sin lambda1) 18.594 * * [simplify]: iters left: 1 (2 enodes) 18.595 * * [simplify]: Extracting #0: cost 1 inf + 0 18.595 * * [simplify]: Extracting #1: cost 3 inf + 0 18.595 * * [simplify]: Extracting #2: cost 2 inf + 1 18.595 * * [simplify]: Extracting #3: cost 0 inf + 123 18.595 * [simplify]: Simplified to (sin lambda1) 18.595 * [simplify]: Simplified (2 1 1 2 2 2 1) to (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)) 18.595 * * * * [progress]: [ 9 / 70 ] simplifiying candidate # 18.596 * * * * [progress]: [ 10 / 70 ] simplifiying candidate # 18.596 * * * * [progress]: [ 11 / 70 ] simplifiying candidate # 18.596 * * * * [progress]: [ 12 / 70 ] simplifiying candidate # 18.596 * * * * [progress]: [ 13 / 70 ] simplifiying candidate # 18.596 * * * * [progress]: [ 14 / 70 ] simplifiying candidate # 18.596 * * * * [progress]: [ 15 / 70 ] simplifiying candidate #real (real->posit16 (log (exp (* (sin lambda1) (sin lambda2)))))))))) R))> 18.596 * * * * [progress]: [ 16 / 70 ] simplifiying candidate # 18.596 * [simplify]: Simplifying (log (* (cbrt (exp (* (sin phi1) (sin phi2)))) (cbrt (exp (* (sin phi1) (sin phi2)))))) 18.597 * * [simplify]: iters left: 6 (9 enodes) 18.600 * * [simplify]: iters left: 5 (32 enodes) 18.607 * * [simplify]: iters left: 4 (42 enodes) 18.613 * * [simplify]: iters left: 3 (55 enodes) 18.621 * * [simplify]: iters left: 2 (82 enodes) 18.636 * * [simplify]: iters left: 1 (147 enodes) 18.679 * * [simplify]: Extracting #0: cost 1 inf + 0 18.679 * * [simplify]: Extracting #1: cost 4 inf + 0 18.679 * * [simplify]: Extracting #2: cost 7 inf + 0 18.679 * * [simplify]: Extracting #3: cost 9 inf + 0 18.679 * * [simplify]: Extracting #4: cost 29 inf + 0 18.680 * * [simplify]: Extracting #5: cost 81 inf + 1 18.681 * * [simplify]: Extracting #6: cost 88 inf + 728 18.682 * * [simplify]: Extracting #7: cost 51 inf + 7790 18.687 * * [simplify]: Extracting #8: cost 10 inf + 27988 18.694 * * [simplify]: Extracting #9: cost 0 inf + 35489 18.699 * * [simplify]: Extracting #10: cost 0 inf + 35027 18.705 * * [simplify]: Extracting #11: cost 0 inf + 34987 18.711 * [simplify]: Simplified to (log (* (cbrt (exp (* (sin phi2) (sin phi1)))) (cbrt (exp (* (sin phi2) (sin phi1)))))) 18.712 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (+ (log (* (cbrt (exp (* (sin phi2) (sin phi1)))) (cbrt (exp (* (sin phi2) (sin phi1)))))) (log (cbrt (exp (* (sin phi1) (sin phi2)))))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 18.712 * * * * [progress]: [ 17 / 70 ] simplifiying candidate # 18.712 * [simplify]: Simplifying (log (sqrt (exp (* (sin phi1) (sin phi2))))) 18.712 * * [simplify]: iters left: 6 (8 enodes) 18.715 * * [simplify]: iters left: 5 (27 enodes) 18.722 * * [simplify]: iters left: 4 (35 enodes) 18.731 * * [simplify]: iters left: 3 (49 enodes) 18.738 * * [simplify]: iters left: 2 (76 enodes) 18.751 * * [simplify]: iters left: 1 (141 enodes) 18.785 * * [simplify]: Extracting #0: cost 1 inf + 0 18.785 * * [simplify]: Extracting #1: cost 3 inf + 0 18.785 * * [simplify]: Extracting #2: cost 6 inf + 0 18.785 * * [simplify]: Extracting #3: cost 31 inf + 0 18.785 * * [simplify]: Extracting #4: cost 85 inf + 1 18.786 * * [simplify]: Extracting #5: cost 85 inf + 1064 18.787 * * [simplify]: Extracting #6: cost 53 inf + 5478 18.788 * * [simplify]: Extracting #7: cost 20 inf + 18813 18.792 * * [simplify]: Extracting #8: cost 1 inf + 30565 18.796 * * [simplify]: Extracting #9: cost 0 inf + 30837 18.800 * [simplify]: Simplified to (log (sqrt (exp (* (sin phi2) (sin phi1))))) 18.800 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (+ (log (sqrt (exp (* (sin phi2) (sin phi1))))) (log (sqrt (exp (* (sin phi1) (sin phi2)))))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 18.800 * * * * [progress]: [ 18 / 70 ] simplifiying candidate # 18.800 * [simplify]: Simplifying (log 1) 18.800 * * [simplify]: iters left: 1 (2 enodes) 18.802 * * [simplify]: Extracting #0: cost 1 inf + 0 18.802 * * [simplify]: Extracting #1: cost 0 inf + 1 18.802 * [simplify]: Simplified to 0 18.802 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (+ 0 (log (exp (* (sin phi1) (sin phi2))))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 18.802 * * * * [progress]: [ 19 / 70 ] simplifiying candidate # 18.802 * [simplify]: Simplifying (sin phi2) 18.802 * * [simplify]: iters left: 1 (2 enodes) 18.803 * * [simplify]: Extracting #0: cost 1 inf + 0 18.803 * * [simplify]: Extracting #1: cost 3 inf + 0 18.803 * * [simplify]: Extracting #2: cost 2 inf + 1 18.803 * * [simplify]: Extracting #3: cost 0 inf + 123 18.803 * [simplify]: Simplified to (sin phi2) 18.803 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (log (exp (sin phi1)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 18.803 * * * * [progress]: [ 20 / 70 ] simplifiying candidate # 18.803 * * * * [progress]: [ 21 / 70 ] simplifiying candidate # 18.803 * [simplify]: Simplifying (sin phi2) 18.803 * * [simplify]: iters left: 1 (2 enodes) 18.803 * * [simplify]: Extracting #0: cost 1 inf + 0 18.803 * * [simplify]: Extracting #1: cost 3 inf + 0 18.803 * * [simplify]: Extracting #2: cost 2 inf + 1 18.804 * * [simplify]: Extracting #3: cost 0 inf + 123 18.804 * [simplify]: Simplified to (sin phi2) 18.804 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (log (exp (sin phi1)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 18.804 * * * * [progress]: [ 22 / 70 ] simplifiying candidate # 18.804 * * * * [progress]: [ 23 / 70 ] simplifiying candidate # 18.804 * [simplify]: Simplifying (sin phi1) 18.804 * * [simplify]: iters left: 1 (2 enodes) 18.804 * * [simplify]: Extracting #0: cost 1 inf + 0 18.804 * * [simplify]: Extracting #1: cost 3 inf + 0 18.804 * * [simplify]: Extracting #2: cost 2 inf + 1 18.804 * * [simplify]: Extracting #3: cost 0 inf + 123 18.805 * [simplify]: Simplified to (sin phi1) 18.805 * [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)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 18.805 * * * * [progress]: [ 24 / 70 ] simplifiying candidate # 18.805 * * * * [progress]: [ 25 / 70 ] simplifiying candidate # 18.805 * * * * [progress]: [ 26 / 70 ] simplifiying candidate # 18.805 * * * * [progress]: [ 27 / 70 ] simplifiying candidate # 18.805 * * * * [progress]: [ 28 / 70 ] simplifiying candidate # 18.805 * * * * [progress]: [ 29 / 70 ] simplifiying candidate # 18.805 * * * * [progress]: [ 30 / 70 ] simplifiying candidate #real (real->posit16 (log (exp (* (sin phi1) (sin phi2)))))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))> 18.805 * * * * [progress]: [ 31 / 70 ] simplifiying candidate # 18.805 * * * * [progress]: [ 32 / 70 ] simplifiying candidate # 18.805 * * * * [progress]: [ 33 / 70 ] simplifiying candidate # 18.805 * * * * [progress]: [ 34 / 70 ] simplifiying candidate # 18.805 * * * * [progress]: [ 35 / 70 ] simplifiying candidate # 18.805 * * * * [progress]: [ 36 / 70 ] simplifiying candidate # 18.805 * * * * [progress]: [ 37 / 70 ] simplifiying candidate # 18.805 * * * * [progress]: [ 38 / 70 ] simplifiying candidate # 18.805 * * * * [progress]: [ 39 / 70 ] simplifiying candidate #real (real->posit16 (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) R))> 18.805 * * * * [progress]: [ 40 / 70 ] simplifiying candidate # 18.806 * [simplify]: Simplifying (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R) 18.806 * * [simplify]: iters left: 6 (26 enodes) 18.811 * * [simplify]: iters left: 5 (94 enodes) 18.825 * * [simplify]: iters left: 4 (175 enodes) 18.858 * * [simplify]: iters left: 3 (314 enodes) 18.914 * * [simplify]: Extracting #0: cost 1 inf + 0 18.914 * * [simplify]: Extracting #1: cost 4 inf + 0 18.914 * * [simplify]: Extracting #2: cost 5 inf + 1 18.914 * * [simplify]: Extracting #3: cost 15 inf + 1 18.914 * * [simplify]: Extracting #4: cost 85 inf + 1 18.915 * * [simplify]: Extracting #5: cost 145 inf + 1 18.915 * * [simplify]: Extracting #6: cost 139 inf + 2930 18.918 * * [simplify]: Extracting #7: cost 84 inf + 19609 18.925 * * [simplify]: Extracting #8: cost 13 inf + 49478 18.932 * * [simplify]: Extracting #9: cost 0 inf + 56033 18.947 * * [simplify]: Extracting #10: cost 0 inf + 55914 18.961 * [simplify]: Simplified to (* R (acos (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (cos phi1)) (cos phi2)) (* (sin phi2) (sin phi1))))) 18.961 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (pow (* R (acos (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (cos phi1)) (cos phi2)) (* (sin phi2) (sin phi1))))) 1)) 18.962 * * * * [progress]: [ 41 / 70 ] simplifiying candidate # 18.962 * * * * [progress]: [ 42 / 70 ] simplifiying candidate # 18.962 * [simplify]: Simplifying (+ (log (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (log R)) 18.962 * * [simplify]: iters left: 6 (28 enodes) 18.974 * * [simplify]: iters left: 5 (100 enodes) 19.002 * * [simplify]: iters left: 4 (181 enodes) 19.038 * * [simplify]: iters left: 3 (320 enodes) 19.110 * * [simplify]: Extracting #0: cost 1 inf + 0 19.110 * * [simplify]: Extracting #1: cost 4 inf + 0 19.110 * * [simplify]: Extracting #2: cost 8 inf + 0 19.110 * * [simplify]: Extracting #3: cost 7 inf + 143 19.110 * * [simplify]: Extracting #4: cost 18 inf + 143 19.110 * * [simplify]: Extracting #5: cost 89 inf + 143 19.111 * * [simplify]: Extracting #6: cost 149 inf + 143 19.112 * * [simplify]: Extracting #7: cost 144 inf + 2879 19.116 * * [simplify]: Extracting #8: cost 60 inf + 31333 19.123 * * [simplify]: Extracting #9: cost 11 inf + 53070 19.137 * * [simplify]: Extracting #10: cost 1 inf + 59029 19.153 * * [simplify]: Extracting #11: cost 0 inf + 59433 19.168 * [simplify]: Simplified to (+ (log (acos (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (cos phi1)) (cos phi2)) (* (sin phi2) (sin phi1))))) (log R)) 19.168 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log (acos (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (cos phi1)) (cos phi2)) (* (sin phi2) (sin phi1))))) (log R)))) 19.169 * * * * [progress]: [ 43 / 70 ] simplifiying candidate # 19.169 * * * * [progress]: [ 44 / 70 ] simplifiying candidate # 19.169 * * * * [progress]: [ 45 / 70 ] simplifiying candidate # 19.169 * [simplify]: Simplifying (* (* (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (* (* R R) R)) 19.170 * * [simplify]: iters left: 6 (30 enodes) 19.183 * * [simplify]: iters left: 5 (112 enodes) 19.222 * * [simplify]: iters left: 4 (222 enodes) 19.276 * * [simplify]: iters left: 3 (419 enodes) 19.388 * * [simplify]: Extracting #0: cost 1 inf + 0 19.388 * * [simplify]: Extracting #1: cost 31 inf + 0 19.388 * * [simplify]: Extracting #2: cost 58 inf + 1 19.389 * * [simplify]: Extracting #3: cost 63 inf + 166 19.390 * * [simplify]: Extracting #4: cost 128 inf + 672 19.391 * * [simplify]: Extracting #5: cost 187 inf + 884 19.394 * * [simplify]: Extracting #6: cost 173 inf + 5147 19.399 * * [simplify]: Extracting #7: cost 105 inf + 29449 19.406 * * [simplify]: Extracting #8: cost 55 inf + 50310 19.419 * * [simplify]: Extracting #9: cost 12 inf + 90605 19.436 * * [simplify]: Extracting #10: cost 0 inf + 101049 19.458 * * [simplify]: Extracting #11: cost 0 inf + 100729 19.485 * [simplify]: Simplified to (* (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (cos phi2))))) R) (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (cos phi2))))) R)) (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (cos phi2))))) R)) 19.485 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (cos phi2))))) R) (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (cos phi2))))) R)) (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (cos phi2))))) R)))) 19.485 * * * * [progress]: [ 46 / 70 ] simplifiying candidate # 19.485 * * * * [progress]: [ 47 / 70 ] simplifiying candidate # 19.485 * * * * [progress]: [ 48 / 70 ] simplifiying candidate # 19.485 * * * * [progress]: [ 49 / 70 ] simplifiying candidate # 19.485 * * * * [progress]: [ 50 / 70 ] simplifiying candidate # 19.486 * [simplify]: Simplifying (* (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) 19.486 * * [simplify]: iters left: 6 (28 enodes) 19.493 * * [simplify]: iters left: 5 (100 enodes) 19.509 * * [simplify]: iters left: 4 (181 enodes) 19.555 * * [simplify]: iters left: 3 (320 enodes) 19.624 * * [simplify]: Extracting #0: cost 1 inf + 0 19.624 * * [simplify]: Extracting #1: cost 4 inf + 0 19.624 * * [simplify]: Extracting #2: cost 8 inf + 0 19.624 * * [simplify]: Extracting #3: cost 7 inf + 83 19.624 * * [simplify]: Extracting #4: cost 18 inf + 83 19.625 * * [simplify]: Extracting #5: cost 89 inf + 83 19.625 * * [simplify]: Extracting #6: cost 149 inf + 83 19.627 * * [simplify]: Extracting #7: cost 144 inf + 2819 19.634 * * [simplify]: Extracting #8: cost 60 inf + 31273 19.641 * * [simplify]: Extracting #9: cost 11 inf + 52980 19.649 * * [simplify]: Extracting #10: cost 1 inf + 58789 19.659 * * [simplify]: Extracting #11: cost 0 inf + 59193 19.672 * [simplify]: Simplified to (* (sqrt (acos (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (cos phi1)) (cos phi2)) (* (sin phi2) (sin phi1))))) (sqrt R)) 19.672 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (cos phi1)) (cos phi2)) (* (sin phi2) (sin phi1))))) (sqrt R)) (* (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt R)))) 19.673 * [simplify]: Simplifying (* (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) 19.673 * * [simplify]: iters left: 6 (28 enodes) 19.685 * * [simplify]: iters left: 5 (100 enodes) 19.702 * * [simplify]: iters left: 4 (181 enodes) 19.742 * * [simplify]: iters left: 3 (320 enodes) 19.807 * * [simplify]: Extracting #0: cost 1 inf + 0 19.807 * * [simplify]: Extracting #1: cost 4 inf + 0 19.807 * * [simplify]: Extracting #2: cost 8 inf + 0 19.807 * * [simplify]: Extracting #3: cost 7 inf + 83 19.807 * * [simplify]: Extracting #4: cost 18 inf + 83 19.808 * * [simplify]: Extracting #5: cost 89 inf + 83 19.808 * * [simplify]: Extracting #6: cost 149 inf + 83 19.810 * * [simplify]: Extracting #7: cost 144 inf + 2819 19.818 * * [simplify]: Extracting #8: cost 60 inf + 31273 19.828 * * [simplify]: Extracting #9: cost 11 inf + 52980 19.838 * * [simplify]: Extracting #10: cost 1 inf + 58789 19.848 * * [simplify]: Extracting #11: cost 0 inf + 59193 19.863 * [simplify]: Simplified to (* (sqrt (acos (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (cos phi1)) (cos phi2)) (* (sin phi2) (sin phi1))))) (sqrt R)) 19.863 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (sqrt (acos (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (cos phi1)) (cos phi2)) (* (sin phi2) (sin phi1))))) (sqrt R)))) 19.864 * * * * [progress]: [ 51 / 70 ] simplifiying candidate # 19.864 * [simplify]: Simplifying (cbrt R) 19.865 * * [simplify]: iters left: 1 (2 enodes) 19.865 * * [simplify]: Extracting #0: cost 1 inf + 0 19.865 * * [simplify]: Extracting #1: cost 3 inf + 0 19.866 * * [simplify]: Extracting #2: cost 2 inf + 1 19.866 * * [simplify]: Extracting #3: cost 0 inf + 163 19.866 * [simplify]: Simplified to (cbrt R) 19.866 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (* (cbrt R) (cbrt R))) (cbrt R))) 19.866 * * * * [progress]: [ 52 / 70 ] simplifiying candidate # 19.866 * [simplify]: Simplifying (sqrt R) 19.866 * * [simplify]: iters left: 1 (2 enodes) 19.868 * * [simplify]: Extracting #0: cost 1 inf + 0 19.868 * * [simplify]: Extracting #1: cost 3 inf + 0 19.868 * * [simplify]: Extracting #2: cost 2 inf + 1 19.868 * * [simplify]: Extracting #3: cost 0 inf + 83 19.868 * [simplify]: Simplified to (sqrt R) 19.868 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (sqrt R))) 19.868 * * * * [progress]: [ 53 / 70 ] simplifiying candidate # 19.868 * * * * [progress]: [ 54 / 70 ] simplifiying candidate # 19.869 * [simplify]: Simplifying (* (cbrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (cbrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) 19.869 * * [simplify]: iters left: 6 (26 enodes) 19.878 * * [simplify]: iters left: 5 (93 enodes) 19.893 * * [simplify]: iters left: 4 (174 enodes) 19.939 * * [simplify]: iters left: 3 (313 enodes) 20.013 * * [simplify]: Extracting #0: cost 1 inf + 0 20.013 * * [simplify]: Extracting #1: cost 3 inf + 0 20.013 * * [simplify]: Extracting #2: cost 5 inf + 0 20.013 * * [simplify]: Extracting #3: cost 7 inf + 0 20.013 * * [simplify]: Extracting #4: cost 17 inf + 0 20.013 * * [simplify]: Extracting #5: cost 87 inf + 0 20.014 * * [simplify]: Extracting #6: cost 147 inf + 0 20.014 * * [simplify]: Extracting #7: cost 146 inf + 2130 20.017 * * [simplify]: Extracting #8: cost 99 inf + 14678 20.025 * * [simplify]: Extracting #9: cost 25 inf + 45777 20.033 * * [simplify]: Extracting #10: cost 0 inf + 58099 20.048 * * [simplify]: Extracting #11: cost 0 inf + 57939 20.056 * [simplify]: Simplified to (* (cbrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) 20.056 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) (* (cbrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) R))) 20.056 * * * * [progress]: [ 55 / 70 ] simplifiying candidate # 20.057 * [simplify]: Simplifying (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) 20.057 * * [simplify]: iters left: 6 (25 enodes) 20.062 * * [simplify]: iters left: 5 (90 enodes) 20.076 * * [simplify]: iters left: 4 (171 enodes) 20.136 * * [simplify]: iters left: 3 (311 enodes) 20.203 * * [simplify]: Extracting #0: cost 1 inf + 0 20.203 * * [simplify]: Extracting #1: cost 3 inf + 0 20.203 * * [simplify]: Extracting #2: cost 5 inf + 0 20.203 * * [simplify]: Extracting #3: cost 14 inf + 0 20.203 * * [simplify]: Extracting #4: cost 87 inf + 0 20.204 * * [simplify]: Extracting #5: cost 147 inf + 0 20.205 * * [simplify]: Extracting #6: cost 144 inf + 2082 20.212 * * [simplify]: Extracting #7: cost 88 inf + 18934 20.225 * * [simplify]: Extracting #8: cost 21 inf + 46773 20.240 * * [simplify]: Extracting #9: cost 1 inf + 56212 20.255 * * [simplify]: Extracting #10: cost 0 inf + 56617 20.270 * [simplify]: Simplified to (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2)))))) 20.270 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2)))))) (* (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) R))) 20.270 * * * * [progress]: [ 56 / 70 ] simplifiying candidate # 20.271 * * * * [progress]: [ 57 / 70 ] simplifiying candidate #real (real->posit16 (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))))> 20.271 * * * * [progress]: [ 58 / 70 ] simplifiying candidate # 20.271 * * * * [progress]: [ 59 / 70 ] simplifiying candidate # 20.271 * [simplify]: Simplifying (* lambda2 lambda1) 20.271 * * [simplify]: iters left: 2 (3 enodes) 20.272 * * [simplify]: iters left: 1 (10 enodes) 20.275 * * [simplify]: Extracting #0: cost 1 inf + 0 20.275 * * [simplify]: Extracting #1: cost 4 inf + 0 20.275 * * [simplify]: Extracting #2: cost 2 inf + 2 20.275 * * [simplify]: Extracting #3: cost 0 inf + 86 20.275 * [simplify]: Simplified to (* lambda2 lambda1) 20.275 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* lambda2 lambda1))))) R)) 20.275 * * * * [progress]: [ 60 / 70 ] simplifiying candidate # 20.276 * [simplify]: Simplifying (* (sin lambda2) (sin lambda1)) 20.276 * * [simplify]: iters left: 3 (5 enodes) 20.278 * * [simplify]: iters left: 2 (16 enodes) 20.282 * * [simplify]: Extracting #0: cost 1 inf + 0 20.282 * * [simplify]: Extracting #1: cost 4 inf + 0 20.282 * * [simplify]: Extracting #2: cost 8 inf + 0 20.282 * * [simplify]: Extracting #3: cost 4 inf + 124 20.282 * * [simplify]: Extracting #4: cost 0 inf + 570 20.283 * [simplify]: Simplified to (* (sin lambda1) (sin lambda2)) 20.283 * [simplify]: Simplified (2 1 1 2 2 2) to (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)) 20.283 * * * * [progress]: [ 61 / 70 ] simplifiying candidate # 20.283 * [simplify]: Simplifying (* (sin lambda1) (sin lambda2)) 20.283 * * [simplify]: iters left: 3 (5 enodes) 20.285 * * [simplify]: iters left: 2 (16 enodes) 20.289 * * [simplify]: Extracting #0: cost 1 inf + 0 20.290 * * [simplify]: Extracting #1: cost 4 inf + 0 20.290 * * [simplify]: Extracting #2: cost 8 inf + 0 20.290 * * [simplify]: Extracting #3: cost 4 inf + 124 20.290 * * [simplify]: Extracting #4: cost 0 inf + 570 20.290 * [simplify]: Simplified to (* (sin lambda2) (sin lambda1)) 20.290 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R)) 20.290 * * * * [progress]: [ 62 / 70 ] simplifiying candidate # 20.291 * [simplify]: Simplifying (* phi1 phi2) 20.291 * * [simplify]: iters left: 2 (3 enodes) 20.292 * * [simplify]: iters left: 1 (10 enodes) 20.294 * * [simplify]: Extracting #0: cost 1 inf + 0 20.294 * * [simplify]: Extracting #1: cost 4 inf + 0 20.294 * * [simplify]: Extracting #2: cost 2 inf + 2 20.295 * * [simplify]: Extracting #3: cost 0 inf + 86 20.295 * [simplify]: Simplified to (* phi1 phi2) 20.295 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* phi1 phi2) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 20.295 * * * * [progress]: [ 63 / 70 ] simplifiying candidate # 20.295 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 20.295 * * [simplify]: iters left: 3 (5 enodes) 20.297 * * [simplify]: iters left: 2 (16 enodes) 20.301 * * [simplify]: Extracting #0: cost 1 inf + 0 20.301 * * [simplify]: Extracting #1: cost 4 inf + 0 20.301 * * [simplify]: Extracting #2: cost 8 inf + 0 20.302 * * [simplify]: Extracting #3: cost 4 inf + 124 20.302 * * [simplify]: Extracting #4: cost 0 inf + 570 20.302 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 20.302 * [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)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 20.302 * * * * [progress]: [ 64 / 70 ] simplifiying candidate # 20.302 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 20.303 * * [simplify]: iters left: 3 (5 enodes) 20.305 * * [simplify]: iters left: 2 (16 enodes) 20.309 * * [simplify]: Extracting #0: cost 1 inf + 0 20.309 * * [simplify]: Extracting #1: cost 4 inf + 0 20.309 * * [simplify]: Extracting #2: cost 8 inf + 0 20.309 * * [simplify]: Extracting #3: cost 4 inf + 124 20.309 * * [simplify]: Extracting #4: cost 0 inf + 570 20.309 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 20.309 * [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)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 20.309 * * * * [progress]: [ 65 / 70 ] simplifiying candidate # 20.310 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 20.310 * * [simplify]: iters left: 6 (22 enodes) 20.320 * * [simplify]: iters left: 5 (84 enodes) 20.346 * * [simplify]: iters left: 4 (141 enodes) 20.392 * * [simplify]: iters left: 3 (241 enodes) 20.446 * * [simplify]: iters left: 2 (280 enodes) 20.491 * * [simplify]: Extracting #0: cost 1 inf + 0 20.491 * * [simplify]: Extracting #1: cost 3 inf + 0 20.491 * * [simplify]: Extracting #2: cost 10 inf + 0 20.492 * * [simplify]: Extracting #3: cost 46 inf + 0 20.492 * * [simplify]: Extracting #4: cost 80 inf + 0 20.493 * * [simplify]: Extracting #5: cost 63 inf + 1504 20.496 * * [simplify]: Extracting #6: cost 22 inf + 9796 20.502 * * [simplify]: Extracting #7: cost 5 inf + 17031 20.508 * * [simplify]: Extracting #8: cost 0 inf + 19888 20.515 * * [simplify]: Extracting #9: cost 0 inf + 19728 20.522 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) 20.522 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R)) 20.522 * * * * [progress]: [ 66 / 70 ] simplifiying candidate # 20.522 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 20.523 * * [simplify]: iters left: 6 (22 enodes) 20.533 * * [simplify]: iters left: 5 (84 enodes) 20.560 * * [simplify]: iters left: 4 (141 enodes) 20.587 * * [simplify]: iters left: 3 (241 enodes) 20.662 * * [simplify]: iters left: 2 (280 enodes) 20.734 * * [simplify]: Extracting #0: cost 1 inf + 0 20.734 * * [simplify]: Extracting #1: cost 3 inf + 0 20.734 * * [simplify]: Extracting #2: cost 10 inf + 0 20.734 * * [simplify]: Extracting #3: cost 46 inf + 0 20.735 * * [simplify]: Extracting #4: cost 80 inf + 0 20.736 * * [simplify]: Extracting #5: cost 58 inf + 2112 20.739 * * [simplify]: Extracting #6: cost 20 inf + 10221 20.745 * * [simplify]: Extracting #7: cost 2 inf + 18300 20.752 * * [simplify]: Extracting #8: cost 0 inf + 19888 20.758 * * [simplify]: Extracting #9: cost 0 inf + 19728 20.765 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) 20.765 * [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)) 20.765 * * * * [progress]: [ 67 / 70 ] simplifiying candidate # 20.766 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 20.766 * * [simplify]: iters left: 6 (22 enodes) 20.776 * * [simplify]: iters left: 5 (84 enodes) 20.790 * * [simplify]: iters left: 4 (141 enodes) 20.824 * * [simplify]: iters left: 3 (241 enodes) 20.891 * * [simplify]: iters left: 2 (280 enodes) 20.944 * * [simplify]: Extracting #0: cost 1 inf + 0 20.944 * * [simplify]: Extracting #1: cost 3 inf + 0 20.944 * * [simplify]: Extracting #2: cost 10 inf + 0 20.944 * * [simplify]: Extracting #3: cost 46 inf + 0 20.944 * * [simplify]: Extracting #4: cost 80 inf + 0 20.945 * * [simplify]: Extracting #5: cost 63 inf + 1504 20.946 * * [simplify]: Extracting #6: cost 22 inf + 9796 20.949 * * [simplify]: Extracting #7: cost 5 inf + 17031 20.953 * * [simplify]: Extracting #8: cost 0 inf + 19888 20.957 * * [simplify]: Extracting #9: cost 0 inf + 19728 20.960 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) 20.960 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R)) 20.960 * * * * [progress]: [ 68 / 70 ] simplifiying candidate # 20.960 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 20.961 * * [simplify]: iters left: 6 (24 enodes) 20.966 * * [simplify]: iters left: 5 (91 enodes) 20.992 * * [simplify]: iters left: 4 (148 enodes) 21.018 * * [simplify]: iters left: 3 (248 enodes) 21.098 * * [simplify]: iters left: 2 (295 enodes) 21.154 * * [simplify]: Extracting #0: cost 1 inf + 0 21.154 * * [simplify]: Extracting #1: cost 4 inf + 0 21.154 * * [simplify]: Extracting #2: cost 5 inf + 1 21.154 * * [simplify]: Extracting #3: cost 12 inf + 1 21.154 * * [simplify]: Extracting #4: cost 48 inf + 1 21.155 * * [simplify]: Extracting #5: cost 82 inf + 1 21.156 * * [simplify]: Extracting #6: cost 71 inf + 634 21.158 * * [simplify]: Extracting #7: cost 31 inf + 8806 21.164 * * [simplify]: Extracting #8: cost 5 inf + 18631 21.171 * * [simplify]: Extracting #9: cost 1 inf + 20704 21.179 * * [simplify]: Extracting #10: cost 0 inf + 21559 21.187 * * [simplify]: Extracting #11: cost 0 inf + 21519 21.194 * [simplify]: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 21.194 * [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))))))) 21.194 * * * * [progress]: [ 69 / 70 ] simplifiying candidate # 21.194 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 21.195 * * [simplify]: iters left: 6 (24 enodes) 21.205 * * [simplify]: iters left: 5 (91 enodes) 21.232 * * [simplify]: iters left: 4 (148 enodes) 21.265 * * [simplify]: iters left: 3 (248 enodes) 21.314 * * [simplify]: iters left: 2 (292 enodes) 21.362 * * [simplify]: Extracting #0: cost 1 inf + 0 21.362 * * [simplify]: Extracting #1: cost 4 inf + 0 21.362 * * [simplify]: Extracting #2: cost 5 inf + 1 21.362 * * [simplify]: Extracting #3: cost 12 inf + 1 21.362 * * [simplify]: Extracting #4: cost 48 inf + 1 21.363 * * [simplify]: Extracting #5: cost 82 inf + 1 21.364 * * [simplify]: Extracting #6: cost 61 inf + 2052 21.367 * * [simplify]: Extracting #7: cost 23 inf + 9919 21.373 * * [simplify]: Extracting #8: cost 4 inf + 18021 21.376 * * [simplify]: Extracting #9: cost 1 inf + 20624 21.380 * * [simplify]: Extracting #10: cost 0 inf + 21519 21.383 * [simplify]: Simplified to (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R) 21.383 * [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)) 21.384 * * * * [progress]: [ 70 / 70 ] simplifiying candidate # 21.384 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 21.384 * * [simplify]: iters left: 6 (24 enodes) 21.389 * * [simplify]: iters left: 5 (91 enodes) 21.404 * * [simplify]: iters left: 4 (148 enodes) 21.457 * * [simplify]: iters left: 3 (248 enodes) 21.511 * * [simplify]: iters left: 2 (295 enodes) 21.561 * * [simplify]: Extracting #0: cost 1 inf + 0 21.562 * * [simplify]: Extracting #1: cost 4 inf + 0 21.562 * * [simplify]: Extracting #2: cost 5 inf + 1 21.562 * * [simplify]: Extracting #3: cost 12 inf + 1 21.562 * * [simplify]: Extracting #4: cost 48 inf + 1 21.562 * * [simplify]: Extracting #5: cost 82 inf + 1 21.563 * * [simplify]: Extracting #6: cost 71 inf + 634 21.565 * * [simplify]: Extracting #7: cost 31 inf + 8806 21.572 * * [simplify]: Extracting #8: cost 5 inf + 18631 21.579 * * [simplify]: Extracting #9: cost 1 inf + 20704 21.586 * * [simplify]: Extracting #10: cost 0 inf + 21559 21.591 * * [simplify]: Extracting #11: cost 0 inf + 21519 21.594 * [simplify]: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 21.595 * [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))))))) 21.595 * * * [progress]: adding candidates to table 23.550 * [progress]: [Phase 3 of 3] Extracting. 23.550 * * [regime]: Finding splitpoints for: (# # # # # # # #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # # # #) 23.565 * * * [regime-changes]: Trying 9 branch expressions: (R lambda2 lambda1 (- lambda1 lambda2) (cos (- lambda1 lambda2)) phi2 phi1 (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) 23.566 * * * * [regimes]: Trying to branch on R from (# # # # # # # #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # # # #) 23.933 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # # # #) 24.208 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # # # #) 24.514 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# # # # # # # #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # # # #) 24.845 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# # #) 24.939 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# # # # # # # #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # # # #) 25.294 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# # #) 25.368 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # # # #) 25.688 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # # # #) 25.972 * * * * [regimes]: Trying to branch on (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) from (# # # # # # # #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # # # #) 26.331 * * * * [regimes]: Trying to branch on (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) from (# # # # # # # #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # # # #) 26.632 * * * [regime]: Found split indices: #