0.002 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.745 * * * [progress]: [2/2] Setting up program. 0.804 * [progress]: [Phase 2 of 3] Improving. 0.804 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.806 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.808 * * [simplify]: iters left: 6 (17 enodes) 0.826 * * [simplify]: iters left: 5 (60 enodes) 0.839 * * [simplify]: iters left: 4 (71 enodes) 0.849 * * [simplify]: iters left: 3 (76 enodes) 0.865 * * [simplify]: Extracting #0: cost 1 inf + 0 0.865 * * [simplify]: Extracting #1: cost 4 inf + 0 0.866 * * [simplify]: Extracting #2: cost 5 inf + 1 0.866 * * [simplify]: Extracting #3: cost 8 inf + 1 0.866 * * [simplify]: Extracting #4: cost 18 inf + 1 0.866 * * [simplify]: Extracting #5: cost 29 inf + 1 0.866 * * [simplify]: Extracting #6: cost 25 inf + 369 0.867 * * [simplify]: Extracting #7: cost 19 inf + 979 0.867 * * [simplify]: Extracting #8: cost 9 inf + 2522 0.869 * * [simplify]: Extracting #9: cost 0 inf + 6397 0.871 * [simplify]: Simplified to (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 0.871 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) 0.885 * * [progress]: iteration 1 / 4 0.885 * * * [progress]: picking best candidate 0.895 * * * * [pick]: Picked # 0.896 * * * [progress]: localizing error 0.996 * * * [progress]: generating rewritten candidates 0.996 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 1.016 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.020 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.032 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 1.071 * * * [progress]: generating series expansions 1.072 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 1.074 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2)) 1.075 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 1.076 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 1.076 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 1.076 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.076 * [backup-simplify]: Simplify lambda1 into lambda1 1.076 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.076 * [backup-simplify]: Simplify 0 into 0 1.076 * [backup-simplify]: Simplify 1 into 1 1.077 * [backup-simplify]: Simplify (- 0) into 0 1.078 * [backup-simplify]: Simplify (+ lambda1 0) into lambda1 1.078 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 1.078 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 1.078 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 1.078 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 1.078 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.078 * [backup-simplify]: Simplify 0 into 0 1.078 * [backup-simplify]: Simplify 1 into 1 1.078 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.078 * [backup-simplify]: Simplify lambda2 into lambda2 1.078 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.078 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 1.078 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 1.078 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 1.078 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 1.078 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 1.078 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.078 * [backup-simplify]: Simplify 0 into 0 1.078 * [backup-simplify]: Simplify 1 into 1 1.078 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.078 * [backup-simplify]: Simplify lambda2 into lambda2 1.078 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.078 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 1.078 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 1.079 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 1.081 * [backup-simplify]: Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2)) 1.081 * [backup-simplify]: Simplify (* (sin (- lambda2)) 0) into 0 1.082 * [backup-simplify]: Simplify (- 0) into 0 1.082 * [backup-simplify]: Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2)) 1.082 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 1.082 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.082 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.082 * [backup-simplify]: Simplify 0 into 0 1.082 * [backup-simplify]: Simplify 1 into 1 1.083 * [backup-simplify]: Simplify (- 0) into 0 1.083 * [backup-simplify]: Simplify (- 1) into -1 1.083 * [backup-simplify]: Simplify 1 into 1 1.084 * [backup-simplify]: Simplify (+ 0) into 0 1.085 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (* 0 1)) into 0 1.086 * [backup-simplify]: Simplify (- 0) into 0 1.086 * [backup-simplify]: Simplify (+ 1 0) into 1 1.087 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.087 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 1) (* 0 0)) into (sin (- lambda2)) 1.087 * [backup-simplify]: Simplify (- (sin (- lambda2))) into (- (sin (- lambda2))) 1.087 * [backup-simplify]: Simplify (+ 0 (- (sin (- lambda2)))) into (- (sin (- lambda2))) 1.087 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 1.087 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.087 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.087 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.087 * [backup-simplify]: Simplify 0 into 0 1.087 * [backup-simplify]: Simplify 1 into 1 1.088 * [backup-simplify]: Simplify (- 0) into 0 1.088 * [backup-simplify]: Simplify (- 1) into -1 1.088 * [backup-simplify]: Simplify (- 0) into 0 1.088 * [backup-simplify]: Simplify 0 into 0 1.088 * [backup-simplify]: Simplify (+ 0) into 0 1.088 * [backup-simplify]: Simplify 0 into 0 1.089 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.090 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (- lambda2)))) 1.090 * [backup-simplify]: Simplify (- 0) into 0 1.090 * [backup-simplify]: Simplify (+ 0 0) into 0 1.091 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.091 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 1) (* 0 0))) into 0 1.091 * [backup-simplify]: Simplify (- 0) into 0 1.092 * [backup-simplify]: Simplify (+ (- (* 1/2 (cos (- lambda2)))) 0) into (- (* 1/2 (cos (- lambda2)))) 1.092 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 1.092 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 1.092 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.092 * [backup-simplify]: Simplify 1/2 into 1/2 1.092 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 1.092 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.092 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.092 * [backup-simplify]: Simplify 0 into 0 1.092 * [backup-simplify]: Simplify 1 into 1 1.092 * [backup-simplify]: Simplify (- 0) into 0 1.092 * [backup-simplify]: Simplify (- 1) into -1 1.093 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.093 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.093 * [backup-simplify]: Simplify -1/2 into -1/2 1.093 * [backup-simplify]: Simplify (- 1) into -1 1.094 * [backup-simplify]: Simplify (+ (* 1 (/ (pow -1 1) 1))) into -1 1.094 * [backup-simplify]: Simplify (- -1) into 1 1.094 * [backup-simplify]: Simplify 1 into 1 1.094 * [backup-simplify]: Simplify (+ (* 1 (* lambda2 lambda1)) (+ (* -1/2 (pow (* 1 lambda1) 2)) 1)) into (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) 1.095 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.095 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.095 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 1.095 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 1.095 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.095 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.095 * [backup-simplify]: Simplify lambda1 into lambda1 1.095 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.095 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.095 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.095 * [backup-simplify]: Simplify 0 into 0 1.095 * [backup-simplify]: Simplify 1 into 1 1.096 * [backup-simplify]: Simplify (/ 1 1) into 1 1.096 * [backup-simplify]: Simplify (- 1) into -1 1.096 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.096 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.096 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 1.096 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 1.096 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.096 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.096 * [backup-simplify]: Simplify 0 into 0 1.096 * [backup-simplify]: Simplify 1 into 1 1.097 * [backup-simplify]: Simplify (/ 1 1) into 1 1.097 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.097 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.097 * [backup-simplify]: Simplify lambda2 into lambda2 1.097 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.097 * [backup-simplify]: Simplify (+ 1 0) into 1 1.097 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.097 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 1.097 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 1.097 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.097 * [taylor]: Taking taylor expansion of lambda1 in lambda1 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 1.098 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.098 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.098 * [backup-simplify]: Simplify lambda2 into lambda2 1.098 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.098 * [backup-simplify]: Simplify (+ 1 0) into 1 1.098 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.098 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 1.098 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 1.098 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.098 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.098 * [backup-simplify]: Simplify lambda1 into lambda1 1.098 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.098 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.098 * [taylor]: Taking taylor expansion of lambda2 in lambda2 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 1.099 * [backup-simplify]: Simplify (- 1) into -1 1.099 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.099 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.099 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.099 * [taylor]: Taking taylor expansion of 0 in lambda2 1.099 * [backup-simplify]: Simplify 0 into 0 1.099 * [backup-simplify]: Simplify 0 into 0 1.099 * [backup-simplify]: Simplify 0 into 0 1.099 * [taylor]: Taking taylor expansion of 0 in lambda2 1.099 * [backup-simplify]: Simplify 0 into 0 1.099 * [backup-simplify]: Simplify 0 into 0 1.099 * [backup-simplify]: Simplify 0 into 0 1.099 * [backup-simplify]: Simplify 0 into 0 1.099 * [taylor]: Taking taylor expansion of 0 in lambda2 1.099 * [backup-simplify]: Simplify 0 into 0 1.099 * [backup-simplify]: Simplify 0 into 0 1.099 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) into (cos (- lambda1 lambda2)) 1.100 * [backup-simplify]: Simplify (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.100 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 1.100 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 1.100 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 1.100 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.100 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.100 * [backup-simplify]: Simplify 0 into 0 1.100 * [backup-simplify]: Simplify 1 into 1 1.100 * [backup-simplify]: Simplify (/ 1 1) into 1 1.100 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.100 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.100 * [backup-simplify]: Simplify lambda1 into lambda1 1.100 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.100 * [backup-simplify]: Simplify (+ 1 0) into 1 1.100 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.100 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 1.100 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 1.100 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.100 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.100 * [backup-simplify]: Simplify lambda2 into lambda2 1.100 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.100 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.100 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.100 * [backup-simplify]: Simplify 0 into 0 1.100 * [backup-simplify]: Simplify 1 into 1 1.101 * [backup-simplify]: Simplify (/ 1 1) into 1 1.101 * [backup-simplify]: Simplify (- 1) into -1 1.101 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.101 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.101 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 1.101 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 1.101 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.101 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.101 * [backup-simplify]: Simplify lambda2 into lambda2 1.101 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.101 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.101 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.101 * [backup-simplify]: Simplify 0 into 0 1.101 * [backup-simplify]: Simplify 1 into 1 1.102 * [backup-simplify]: Simplify (/ 1 1) into 1 1.102 * [backup-simplify]: Simplify (- 1) into -1 1.102 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.102 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.102 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 1.102 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 1.102 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.102 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.102 * [backup-simplify]: Simplify 0 into 0 1.102 * [backup-simplify]: Simplify 1 into 1 1.103 * [backup-simplify]: Simplify (/ 1 1) into 1 1.103 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.103 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.103 * [backup-simplify]: Simplify lambda1 into lambda1 1.103 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.103 * [backup-simplify]: Simplify (+ 1 0) into 1 1.103 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.103 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.103 * [taylor]: Taking taylor expansion of 0 in lambda2 1.103 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify 0 into 0 1.103 * [taylor]: Taking taylor expansion of 0 in lambda2 1.103 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify 0 into 0 1.103 * [taylor]: Taking taylor expansion of 0 in lambda2 1.103 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify 0 into 0 1.104 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))) into (cos (- lambda1 lambda2)) 1.104 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.104 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.104 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in (phi1 phi2 lambda1 lambda2) around 0 1.104 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 1.105 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.105 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 1.105 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.105 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 1.105 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.106 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 1.106 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.106 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 1.106 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.106 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 1.106 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.106 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 1.106 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.107 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 1.107 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.107 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.107 * [taylor]: Taking taylor expansion of 0 in phi2 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [taylor]: Taking taylor expansion of 0 in lambda1 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [taylor]: Taking taylor expansion of 0 in lambda2 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [taylor]: Taking taylor expansion of 0 in lambda1 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [taylor]: Taking taylor expansion of 0 in lambda2 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [taylor]: Taking taylor expansion of 0 in lambda2 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [taylor]: Taking taylor expansion of 0 in phi2 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [taylor]: Taking taylor expansion of 0 in lambda1 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [taylor]: Taking taylor expansion of 0 in lambda2 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [taylor]: Taking taylor expansion of 0 in lambda1 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [taylor]: Taking taylor expansion of 0 in lambda2 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.108 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.108 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in (phi1 phi2 lambda1 lambda2) around 0 1.108 * [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 1.108 * [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)))))) 1.108 * [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 1.108 * [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)))))) 1.108 * [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 1.108 * [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)))))) 1.108 * [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 1.109 * [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)))))) 1.109 * [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 1.109 * [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)))))) 1.109 * [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 1.109 * [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)))))) 1.109 * [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 1.109 * [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)))))) 1.109 * [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 1.110 * [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)))))) 1.110 * [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)))))) 1.110 * [taylor]: Taking taylor expansion of 0 in phi2 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [taylor]: Taking taylor expansion of 0 in lambda1 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [taylor]: Taking taylor expansion of 0 in lambda2 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [taylor]: Taking taylor expansion of 0 in lambda1 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [taylor]: Taking taylor expansion of 0 in lambda2 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [taylor]: Taking taylor expansion of 0 in lambda2 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [taylor]: Taking taylor expansion of 0 in phi2 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [taylor]: Taking taylor expansion of 0 in lambda1 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [taylor]: Taking taylor expansion of 0 in lambda2 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [taylor]: Taking taylor expansion of 0 in lambda1 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [taylor]: Taking taylor expansion of 0 in lambda2 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [backup-simplify]: Simplify 0 into 0 1.111 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) (cos (/ 1 (/ 1 phi1))))))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.111 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.111 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.111 * [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 1.111 * [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))))))) 1.111 * [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 1.111 * [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))))))) 1.111 * [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 1.112 * [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))))))) 1.112 * [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 1.112 * [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))))))) 1.112 * [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 1.112 * [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))))))) 1.112 * [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 1.112 * [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))))))) 1.112 * [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 1.113 * [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))))))) 1.113 * [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 1.113 * [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))))))) 1.113 * [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))))))) 1.113 * [taylor]: Taking taylor expansion of 0 in phi2 1.113 * [backup-simplify]: Simplify 0 into 0 1.113 * [taylor]: Taking taylor expansion of 0 in lambda1 1.113 * [backup-simplify]: Simplify 0 into 0 1.113 * [taylor]: Taking taylor expansion of 0 in lambda2 1.113 * [backup-simplify]: Simplify 0 into 0 1.113 * [backup-simplify]: Simplify 0 into 0 1.113 * [taylor]: Taking taylor expansion of 0 in lambda1 1.113 * [backup-simplify]: Simplify 0 into 0 1.113 * [taylor]: Taking taylor expansion of 0 in lambda2 1.113 * [backup-simplify]: Simplify 0 into 0 1.113 * [backup-simplify]: Simplify 0 into 0 1.113 * [taylor]: Taking taylor expansion of 0 in lambda2 1.113 * [backup-simplify]: Simplify 0 into 0 1.113 * [backup-simplify]: Simplify 0 into 0 1.113 * [backup-simplify]: Simplify 0 into 0 1.113 * [taylor]: Taking taylor expansion of 0 in phi2 1.114 * [backup-simplify]: Simplify 0 into 0 1.114 * [taylor]: Taking taylor expansion of 0 in lambda1 1.114 * [backup-simplify]: Simplify 0 into 0 1.114 * [taylor]: Taking taylor expansion of 0 in lambda2 1.114 * [backup-simplify]: Simplify 0 into 0 1.114 * [backup-simplify]: Simplify 0 into 0 1.114 * [taylor]: Taking taylor expansion of 0 in lambda1 1.114 * [backup-simplify]: Simplify 0 into 0 1.114 * [taylor]: Taking taylor expansion of 0 in lambda2 1.114 * [backup-simplify]: Simplify 0 into 0 1.114 * [backup-simplify]: Simplify 0 into 0 1.114 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))))))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.114 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.114 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 1.114 * [approximate]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.114 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in R 1.114 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in R 1.114 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.114 * [taylor]: Taking taylor expansion of R in R 1.114 * [backup-simplify]: Simplify 0 into 0 1.114 * [backup-simplify]: Simplify 1 into 1 1.114 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda2 1.115 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 1.115 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.115 * [taylor]: Taking taylor expansion of R in lambda2 1.115 * [backup-simplify]: Simplify R into R 1.115 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda1 1.115 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 1.115 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.115 * [taylor]: Taking taylor expansion of R in lambda1 1.115 * [backup-simplify]: Simplify R into R 1.115 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi2 1.115 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 1.115 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.115 * [taylor]: Taking taylor expansion of R in phi2 1.115 * [backup-simplify]: Simplify R into R 1.115 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi1 1.115 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 1.115 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.115 * [taylor]: Taking taylor expansion of R in phi1 1.115 * [backup-simplify]: Simplify R into R 1.115 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi1 1.115 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 1.115 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.115 * [taylor]: Taking taylor expansion of R in phi1 1.116 * [backup-simplify]: Simplify R into R 1.116 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 1.116 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi2 1.116 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 1.116 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.116 * [taylor]: Taking taylor expansion of R in phi2 1.116 * [backup-simplify]: Simplify R into R 1.116 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 1.116 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda1 1.116 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 1.116 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.116 * [taylor]: Taking taylor expansion of R in lambda1 1.116 * [backup-simplify]: Simplify R into R 1.116 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 1.116 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda2 1.116 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 1.117 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.117 * [taylor]: Taking taylor expansion of R in lambda2 1.117 * [backup-simplify]: Simplify R into R 1.117 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 1.117 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in R 1.117 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in R 1.117 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.117 * [taylor]: Taking taylor expansion of R in R 1.117 * [backup-simplify]: Simplify 0 into 0 1.117 * [backup-simplify]: Simplify 1 into 1 1.117 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) into 0 1.117 * [backup-simplify]: Simplify 0 into 0 1.117 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 1.117 * [taylor]: Taking taylor expansion of 0 in phi2 1.117 * [backup-simplify]: Simplify 0 into 0 1.117 * [taylor]: Taking taylor expansion of 0 in lambda1 1.117 * [backup-simplify]: Simplify 0 into 0 1.117 * [taylor]: Taking taylor expansion of 0 in lambda2 1.117 * [backup-simplify]: Simplify 0 into 0 1.118 * [taylor]: Taking taylor expansion of 0 in R 1.118 * [backup-simplify]: Simplify 0 into 0 1.118 * [backup-simplify]: Simplify 0 into 0 1.118 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 1.118 * [taylor]: Taking taylor expansion of 0 in lambda1 1.118 * [backup-simplify]: Simplify 0 into 0 1.118 * [taylor]: Taking taylor expansion of 0 in lambda2 1.118 * [backup-simplify]: Simplify 0 into 0 1.118 * [taylor]: Taking taylor expansion of 0 in R 1.118 * [backup-simplify]: Simplify 0 into 0 1.118 * [backup-simplify]: Simplify 0 into 0 1.118 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 1.118 * [taylor]: Taking taylor expansion of 0 in lambda2 1.118 * [backup-simplify]: Simplify 0 into 0 1.118 * [taylor]: Taking taylor expansion of 0 in R 1.118 * [backup-simplify]: Simplify 0 into 0 1.118 * [backup-simplify]: Simplify 0 into 0 1.118 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 1.118 * [taylor]: Taking taylor expansion of 0 in R 1.118 * [backup-simplify]: Simplify 0 into 0 1.118 * [backup-simplify]: Simplify 0 into 0 1.119 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1) (* 0 0)) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.119 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.120 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0 1.120 * [taylor]: Taking taylor expansion of 0 in phi2 1.120 * [backup-simplify]: Simplify 0 into 0 1.120 * [taylor]: Taking taylor expansion of 0 in lambda1 1.120 * [backup-simplify]: Simplify 0 into 0 1.120 * [taylor]: Taking taylor expansion of 0 in lambda2 1.120 * [backup-simplify]: Simplify 0 into 0 1.120 * [taylor]: Taking taylor expansion of 0 in R 1.120 * [backup-simplify]: Simplify 0 into 0 1.120 * [backup-simplify]: Simplify 0 into 0 1.120 * [taylor]: Taking taylor expansion of 0 in lambda1 1.120 * [backup-simplify]: Simplify 0 into 0 1.120 * [taylor]: Taking taylor expansion of 0 in lambda2 1.120 * [backup-simplify]: Simplify 0 into 0 1.120 * [taylor]: Taking taylor expansion of 0 in R 1.120 * [backup-simplify]: Simplify 0 into 0 1.120 * [backup-simplify]: Simplify 0 into 0 1.120 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0 1.120 * [taylor]: Taking taylor expansion of 0 in lambda1 1.121 * [backup-simplify]: Simplify 0 into 0 1.121 * [taylor]: Taking taylor expansion of 0 in lambda2 1.121 * [backup-simplify]: Simplify 0 into 0 1.121 * [taylor]: Taking taylor expansion of 0 in R 1.121 * [backup-simplify]: Simplify 0 into 0 1.121 * [backup-simplify]: Simplify 0 into 0 1.121 * [taylor]: Taking taylor expansion of 0 in lambda2 1.121 * [backup-simplify]: Simplify 0 into 0 1.121 * [taylor]: Taking taylor expansion of 0 in R 1.121 * [backup-simplify]: Simplify 0 into 0 1.121 * [backup-simplify]: Simplify 0 into 0 1.121 * [taylor]: Taking taylor expansion of 0 in lambda2 1.121 * [backup-simplify]: Simplify 0 into 0 1.121 * [taylor]: Taking taylor expansion of 0 in R 1.121 * [backup-simplify]: Simplify 0 into 0 1.121 * [backup-simplify]: Simplify 0 into 0 1.121 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0 1.121 * [taylor]: Taking taylor expansion of 0 in lambda2 1.121 * [backup-simplify]: Simplify 0 into 0 1.121 * [taylor]: Taking taylor expansion of 0 in R 1.121 * [backup-simplify]: Simplify 0 into 0 1.121 * [backup-simplify]: Simplify 0 into 0 1.122 * [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) 1.122 * [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) 1.122 * [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 1.122 * [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 1.122 * [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 1.122 * [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)))))) 1.122 * [taylor]: Taking taylor expansion of R in R 1.122 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify 1 into 1 1.123 * [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)))))) 1.123 * [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 1.123 * [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 1.123 * [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)))))) 1.123 * [taylor]: Taking taylor expansion of R in lambda2 1.123 * [backup-simplify]: Simplify R into R 1.123 * [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) 1.123 * [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 1.123 * [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 1.124 * [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)))))) 1.124 * [taylor]: Taking taylor expansion of R in lambda1 1.124 * [backup-simplify]: Simplify R into R 1.124 * [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) 1.124 * [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 1.124 * [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 1.124 * [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)))))) 1.124 * [taylor]: Taking taylor expansion of R in phi2 1.124 * [backup-simplify]: Simplify R into R 1.124 * [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) 1.124 * [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 1.124 * [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 1.125 * [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)))))) 1.125 * [taylor]: Taking taylor expansion of R in phi1 1.125 * [backup-simplify]: Simplify R into R 1.125 * [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) 1.125 * [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 1.125 * [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 1.125 * [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)))))) 1.125 * [taylor]: Taking taylor expansion of R in phi1 1.125 * [backup-simplify]: Simplify R into R 1.125 * [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) 1.125 * [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 1.126 * [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 1.126 * [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)))))) 1.126 * [taylor]: Taking taylor expansion of R in phi2 1.126 * [backup-simplify]: Simplify R into R 1.126 * [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) 1.126 * [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 1.126 * [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 1.126 * [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)))))) 1.126 * [taylor]: Taking taylor expansion of R in lambda1 1.126 * [backup-simplify]: Simplify R into R 1.126 * [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) 1.127 * [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 1.127 * [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 1.127 * [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)))))) 1.127 * [taylor]: Taking taylor expansion of R in lambda2 1.127 * [backup-simplify]: Simplify R into R 1.127 * [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) 1.127 * [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 1.127 * [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 1.127 * [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)))))) 1.127 * [taylor]: Taking taylor expansion of R in R 1.127 * [backup-simplify]: Simplify 0 into 0 1.127 * [backup-simplify]: Simplify 1 into 1 1.128 * [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)))))) 1.128 * [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)))))) 1.128 * [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 1.128 * [taylor]: Taking taylor expansion of 0 in phi2 1.128 * [backup-simplify]: Simplify 0 into 0 1.128 * [taylor]: Taking taylor expansion of 0 in lambda1 1.128 * [backup-simplify]: Simplify 0 into 0 1.128 * [taylor]: Taking taylor expansion of 0 in lambda2 1.128 * [backup-simplify]: Simplify 0 into 0 1.128 * [taylor]: Taking taylor expansion of 0 in R 1.128 * [backup-simplify]: Simplify 0 into 0 1.129 * [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 1.129 * [taylor]: Taking taylor expansion of 0 in lambda1 1.129 * [backup-simplify]: Simplify 0 into 0 1.129 * [taylor]: Taking taylor expansion of 0 in lambda2 1.129 * [backup-simplify]: Simplify 0 into 0 1.129 * [taylor]: Taking taylor expansion of 0 in R 1.129 * [backup-simplify]: Simplify 0 into 0 1.129 * [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 1.129 * [taylor]: Taking taylor expansion of 0 in lambda2 1.129 * [backup-simplify]: Simplify 0 into 0 1.129 * [taylor]: Taking taylor expansion of 0 in R 1.129 * [backup-simplify]: Simplify 0 into 0 1.129 * [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 1.129 * [taylor]: Taking taylor expansion of 0 in R 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [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 1.131 * [backup-simplify]: Simplify 0 into 0 1.131 * [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 1.131 * [taylor]: Taking taylor expansion of 0 in phi2 1.131 * [backup-simplify]: Simplify 0 into 0 1.131 * [taylor]: Taking taylor expansion of 0 in lambda1 1.131 * [backup-simplify]: Simplify 0 into 0 1.131 * [taylor]: Taking taylor expansion of 0 in lambda2 1.131 * [backup-simplify]: Simplify 0 into 0 1.131 * [taylor]: Taking taylor expansion of 0 in R 1.131 * [backup-simplify]: Simplify 0 into 0 1.131 * [taylor]: Taking taylor expansion of 0 in lambda1 1.131 * [backup-simplify]: Simplify 0 into 0 1.131 * [taylor]: Taking taylor expansion of 0 in lambda2 1.131 * [backup-simplify]: Simplify 0 into 0 1.131 * [taylor]: Taking taylor expansion of 0 in R 1.131 * [backup-simplify]: Simplify 0 into 0 1.131 * [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 1.131 * [taylor]: Taking taylor expansion of 0 in lambda1 1.131 * [backup-simplify]: Simplify 0 into 0 1.131 * [taylor]: Taking taylor expansion of 0 in lambda2 1.131 * [backup-simplify]: Simplify 0 into 0 1.132 * [taylor]: Taking taylor expansion of 0 in R 1.132 * [backup-simplify]: Simplify 0 into 0 1.132 * [taylor]: Taking taylor expansion of 0 in lambda2 1.132 * [backup-simplify]: Simplify 0 into 0 1.132 * [taylor]: Taking taylor expansion of 0 in R 1.132 * [backup-simplify]: Simplify 0 into 0 1.132 * [taylor]: Taking taylor expansion of 0 in lambda2 1.132 * [backup-simplify]: Simplify 0 into 0 1.132 * [taylor]: Taking taylor expansion of 0 in R 1.132 * [backup-simplify]: Simplify 0 into 0 1.132 * [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 1.132 * [taylor]: Taking taylor expansion of 0 in lambda2 1.132 * [backup-simplify]: Simplify 0 into 0 1.132 * [taylor]: Taking taylor expansion of 0 in R 1.132 * [backup-simplify]: Simplify 0 into 0 1.132 * [taylor]: Taking taylor expansion of 0 in R 1.132 * [backup-simplify]: Simplify 0 into 0 1.132 * [taylor]: Taking taylor expansion of 0 in R 1.132 * [backup-simplify]: Simplify 0 into 0 1.132 * [taylor]: Taking taylor expansion of 0 in R 1.132 * [backup-simplify]: Simplify 0 into 0 1.132 * [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 1.132 * [taylor]: Taking taylor expansion of 0 in R 1.133 * [backup-simplify]: Simplify 0 into 0 1.133 * [backup-simplify]: Simplify 0 into 0 1.133 * [backup-simplify]: Simplify 0 into 0 1.133 * [backup-simplify]: Simplify 0 into 0 1.133 * [backup-simplify]: Simplify 0 into 0 1.134 * [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 1.134 * [backup-simplify]: Simplify 0 into 0 1.135 * [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) 1.135 * [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)) 1.135 * [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 1.135 * [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 1.135 * [taylor]: Taking taylor expansion of -1 in R 1.135 * [backup-simplify]: Simplify -1 into -1 1.135 * [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 1.135 * [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 1.135 * [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))))))) 1.135 * [taylor]: Taking taylor expansion of R in R 1.135 * [backup-simplify]: Simplify 0 into 0 1.135 * [backup-simplify]: Simplify 1 into 1 1.136 * [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))))))) 1.136 * [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 1.136 * [taylor]: Taking taylor expansion of -1 in lambda2 1.136 * [backup-simplify]: Simplify -1 into -1 1.136 * [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 1.136 * [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 1.136 * [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))))))) 1.136 * [taylor]: Taking taylor expansion of R in lambda2 1.136 * [backup-simplify]: Simplify R into R 1.136 * [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) 1.136 * [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 1.136 * [taylor]: Taking taylor expansion of -1 in lambda1 1.136 * [backup-simplify]: Simplify -1 into -1 1.136 * [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 1.136 * [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 1.137 * [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))))))) 1.137 * [taylor]: Taking taylor expansion of R in lambda1 1.137 * [backup-simplify]: Simplify R into R 1.137 * [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) 1.137 * [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 1.137 * [taylor]: Taking taylor expansion of -1 in phi2 1.137 * [backup-simplify]: Simplify -1 into -1 1.137 * [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 1.137 * [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 1.137 * [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))))))) 1.137 * [taylor]: Taking taylor expansion of R in phi2 1.137 * [backup-simplify]: Simplify R into R 1.137 * [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) 1.137 * [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 1.137 * [taylor]: Taking taylor expansion of -1 in phi1 1.137 * [backup-simplify]: Simplify -1 into -1 1.137 * [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 1.137 * [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 1.138 * [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))))))) 1.138 * [taylor]: Taking taylor expansion of R in phi1 1.138 * [backup-simplify]: Simplify R into R 1.138 * [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) 1.138 * [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 1.138 * [taylor]: Taking taylor expansion of -1 in phi1 1.138 * [backup-simplify]: Simplify -1 into -1 1.138 * [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 1.138 * [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 1.138 * [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))))))) 1.138 * [taylor]: Taking taylor expansion of R in phi1 1.138 * [backup-simplify]: Simplify R into R 1.139 * [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) 1.139 * [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)) 1.139 * [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 1.139 * [taylor]: Taking taylor expansion of -1 in phi2 1.139 * [backup-simplify]: Simplify -1 into -1 1.139 * [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 1.139 * [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 1.139 * [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))))))) 1.139 * [taylor]: Taking taylor expansion of R in phi2 1.139 * [backup-simplify]: Simplify R into R 1.140 * [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) 1.140 * [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)) 1.140 * [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 1.140 * [taylor]: Taking taylor expansion of -1 in lambda1 1.140 * [backup-simplify]: Simplify -1 into -1 1.140 * [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 1.140 * [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 1.141 * [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))))))) 1.141 * [taylor]: Taking taylor expansion of R in lambda1 1.141 * [backup-simplify]: Simplify R into R 1.141 * [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) 1.142 * [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)) 1.142 * [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 1.142 * [taylor]: Taking taylor expansion of -1 in lambda2 1.142 * [backup-simplify]: Simplify -1 into -1 1.142 * [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 1.142 * [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 1.142 * [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))))))) 1.142 * [taylor]: Taking taylor expansion of R in lambda2 1.142 * [backup-simplify]: Simplify R into R 1.143 * [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) 1.143 * [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)) 1.143 * [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 1.143 * [taylor]: Taking taylor expansion of -1 in R 1.143 * [backup-simplify]: Simplify -1 into -1 1.143 * [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 1.143 * [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 1.144 * [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))))))) 1.144 * [taylor]: Taking taylor expansion of R in R 1.144 * [backup-simplify]: Simplify 0 into 0 1.144 * [backup-simplify]: Simplify 1 into 1 1.144 * [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))))))) 1.145 * [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)))))))) 1.145 * [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)))))))) 1.146 * [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 1.147 * [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 1.147 * [taylor]: Taking taylor expansion of 0 in phi2 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [taylor]: Taking taylor expansion of 0 in lambda1 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [taylor]: Taking taylor expansion of 0 in lambda2 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [taylor]: Taking taylor expansion of 0 in R 1.147 * [backup-simplify]: Simplify 0 into 0 1.148 * [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 1.149 * [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 1.149 * [taylor]: Taking taylor expansion of 0 in lambda1 1.149 * [backup-simplify]: Simplify 0 into 0 1.149 * [taylor]: Taking taylor expansion of 0 in lambda2 1.149 * [backup-simplify]: Simplify 0 into 0 1.149 * [taylor]: Taking taylor expansion of 0 in R 1.149 * [backup-simplify]: Simplify 0 into 0 1.150 * [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 1.151 * [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 1.151 * [taylor]: Taking taylor expansion of 0 in lambda2 1.151 * [backup-simplify]: Simplify 0 into 0 1.151 * [taylor]: Taking taylor expansion of 0 in R 1.151 * [backup-simplify]: Simplify 0 into 0 1.152 * [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 1.153 * [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 1.153 * [taylor]: Taking taylor expansion of 0 in R 1.153 * [backup-simplify]: Simplify 0 into 0 1.154 * [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 1.155 * [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 1.155 * [backup-simplify]: Simplify 0 into 0 1.156 * [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 1.158 * [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 1.158 * [taylor]: Taking taylor expansion of 0 in phi2 1.158 * [backup-simplify]: Simplify 0 into 0 1.158 * [taylor]: Taking taylor expansion of 0 in lambda1 1.158 * [backup-simplify]: Simplify 0 into 0 1.158 * [taylor]: Taking taylor expansion of 0 in lambda2 1.158 * [backup-simplify]: Simplify 0 into 0 1.158 * [taylor]: Taking taylor expansion of 0 in R 1.158 * [backup-simplify]: Simplify 0 into 0 1.158 * [taylor]: Taking taylor expansion of 0 in lambda1 1.158 * [backup-simplify]: Simplify 0 into 0 1.158 * [taylor]: Taking taylor expansion of 0 in lambda2 1.158 * [backup-simplify]: Simplify 0 into 0 1.158 * [taylor]: Taking taylor expansion of 0 in R 1.158 * [backup-simplify]: Simplify 0 into 0 1.159 * [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 1.160 * [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 1.160 * [taylor]: Taking taylor expansion of 0 in lambda1 1.160 * [backup-simplify]: Simplify 0 into 0 1.160 * [taylor]: Taking taylor expansion of 0 in lambda2 1.160 * [backup-simplify]: Simplify 0 into 0 1.160 * [taylor]: Taking taylor expansion of 0 in R 1.160 * [backup-simplify]: Simplify 0 into 0 1.160 * [taylor]: Taking taylor expansion of 0 in lambda2 1.160 * [backup-simplify]: Simplify 0 into 0 1.160 * [taylor]: Taking taylor expansion of 0 in R 1.160 * [backup-simplify]: Simplify 0 into 0 1.160 * [taylor]: Taking taylor expansion of 0 in lambda2 1.160 * [backup-simplify]: Simplify 0 into 0 1.160 * [taylor]: Taking taylor expansion of 0 in R 1.160 * [backup-simplify]: Simplify 0 into 0 1.161 * [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 1.162 * [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 1.162 * [taylor]: Taking taylor expansion of 0 in lambda2 1.162 * [backup-simplify]: Simplify 0 into 0 1.162 * [taylor]: Taking taylor expansion of 0 in R 1.162 * [backup-simplify]: Simplify 0 into 0 1.163 * [taylor]: Taking taylor expansion of 0 in R 1.163 * [backup-simplify]: Simplify 0 into 0 1.163 * [taylor]: Taking taylor expansion of 0 in R 1.163 * [backup-simplify]: Simplify 0 into 0 1.163 * [taylor]: Taking taylor expansion of 0 in R 1.163 * [backup-simplify]: Simplify 0 into 0 1.163 * [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 1.165 * [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 1.165 * [taylor]: Taking taylor expansion of 0 in R 1.165 * [backup-simplify]: Simplify 0 into 0 1.165 * [backup-simplify]: Simplify 0 into 0 1.165 * [backup-simplify]: Simplify 0 into 0 1.165 * [backup-simplify]: Simplify 0 into 0 1.165 * [backup-simplify]: Simplify 0 into 0 1.167 * [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 1.168 * [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 1.168 * [backup-simplify]: Simplify 0 into 0 1.169 * [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) 1.170 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 1.170 * [backup-simplify]: Simplify (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) into (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 1.170 * [approximate]: Taking taylor expansion of (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in (phi1 phi2 lambda1 lambda2) around 0 1.170 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda2 1.170 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2 1.170 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.170 * [backup-simplify]: Simplify phi1 into phi1 1.170 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 1.170 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 1.170 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in lambda2 1.170 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 1.170 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 1.170 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.170 * [backup-simplify]: Simplify lambda1 into lambda1 1.170 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.170 * [backup-simplify]: Simplify 0 into 0 1.170 * [backup-simplify]: Simplify 1 into 1 1.171 * [backup-simplify]: Simplify (- 0) into 0 1.171 * [backup-simplify]: Simplify (+ lambda1 0) into lambda1 1.171 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 1.171 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 1.171 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2 1.171 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.171 * [backup-simplify]: Simplify phi2 into phi2 1.171 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 1.171 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 1.171 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda1 1.171 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1 1.171 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.171 * [backup-simplify]: Simplify phi1 into phi1 1.171 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 1.171 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 1.171 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in lambda1 1.171 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 1.171 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 1.171 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.171 * [backup-simplify]: Simplify 0 into 0 1.171 * [backup-simplify]: Simplify 1 into 1 1.171 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.171 * [backup-simplify]: Simplify lambda2 into lambda2 1.171 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.171 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 1.171 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 1.171 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 1.171 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1 1.171 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.171 * [backup-simplify]: Simplify phi2 into phi2 1.171 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 1.171 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 1.172 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in phi2 1.172 * [taylor]: Taking taylor expansion of (cos phi1) in phi2 1.172 * [taylor]: Taking taylor expansion of phi1 in phi2 1.172 * [backup-simplify]: Simplify phi1 into phi1 1.172 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 1.172 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 1.172 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in phi2 1.172 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi2 1.172 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2 1.172 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.172 * [backup-simplify]: Simplify lambda1 into lambda1 1.172 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.172 * [backup-simplify]: Simplify lambda2 into lambda2 1.172 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.172 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 1.172 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2)) 1.172 * [backup-simplify]: Simplify (sin (- lambda1 lambda2)) into (sin (- lambda1 lambda2)) 1.172 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.172 * [taylor]: Taking taylor expansion of phi2 in phi2 1.172 * [backup-simplify]: Simplify 0 into 0 1.172 * [backup-simplify]: Simplify 1 into 1 1.172 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in phi1 1.172 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 1.172 * [taylor]: Taking taylor expansion of phi1 in phi1 1.172 * [backup-simplify]: Simplify 0 into 0 1.172 * [backup-simplify]: Simplify 1 into 1 1.172 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in phi1 1.172 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi1 1.172 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi1 1.172 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.172 * [backup-simplify]: Simplify lambda1 into lambda1 1.172 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.172 * [backup-simplify]: Simplify lambda2 into lambda2 1.172 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.172 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 1.172 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2)) 1.172 * [backup-simplify]: Simplify (sin (- lambda1 lambda2)) into (sin (- lambda1 lambda2)) 1.172 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 1.172 * [taylor]: Taking taylor expansion of phi2 in phi1 1.172 * [backup-simplify]: Simplify phi2 into phi2 1.172 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 1.172 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 1.172 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in phi1 1.172 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 1.172 * [taylor]: Taking taylor expansion of phi1 in phi1 1.172 * [backup-simplify]: Simplify 0 into 0 1.172 * [backup-simplify]: Simplify 1 into 1 1.172 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in phi1 1.172 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi1 1.172 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi1 1.172 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.172 * [backup-simplify]: Simplify lambda1 into lambda1 1.172 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.172 * [backup-simplify]: Simplify lambda2 into lambda2 1.172 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.172 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 1.173 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2)) 1.173 * [backup-simplify]: Simplify (sin (- lambda1 lambda2)) into (sin (- lambda1 lambda2)) 1.173 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 1.173 * [taylor]: Taking taylor expansion of phi2 in phi1 1.173 * [backup-simplify]: Simplify phi2 into phi2 1.173 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 1.173 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 1.173 * [backup-simplify]: Simplify (* (cos (- lambda1 lambda2)) 1) into (cos (- lambda1 lambda2)) 1.173 * [backup-simplify]: Simplify (* (sin (- lambda1 lambda2)) 0) into 0 1.178 * [backup-simplify]: Simplify (- 0) into 0 1.178 * [backup-simplify]: Simplify (+ (cos (- lambda1 lambda2)) 0) into (cos (- lambda1 lambda2)) 1.178 * [backup-simplify]: Simplify (* (cos phi2) 1) into (cos phi2) 1.178 * [backup-simplify]: Simplify (* (sin phi2) 0) into 0 1.179 * [backup-simplify]: Simplify (- 0) into 0 1.179 * [backup-simplify]: Simplify (+ (cos phi2) 0) into (cos phi2) 1.179 * [backup-simplify]: Simplify (* (cos (- lambda1 lambda2)) (cos phi2)) into (* (cos (- lambda1 lambda2)) (cos phi2)) 1.179 * [backup-simplify]: Simplify (* 1 (* (cos (- lambda1 lambda2)) (cos phi2))) into (* (cos (- lambda1 lambda2)) (cos phi2)) 1.179 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in phi2 1.179 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi2 1.179 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2 1.179 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.179 * [backup-simplify]: Simplify lambda1 into lambda1 1.179 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.179 * [backup-simplify]: Simplify lambda2 into lambda2 1.179 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.179 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 1.179 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2)) 1.179 * [backup-simplify]: Simplify (sin (- lambda1 lambda2)) into (sin (- lambda1 lambda2)) 1.179 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.179 * [taylor]: Taking taylor expansion of phi2 in phi2 1.179 * [backup-simplify]: Simplify 0 into 0 1.179 * [backup-simplify]: Simplify 1 into 1 1.180 * [backup-simplify]: Simplify (* (cos (- lambda1 lambda2)) 1) into (cos (- lambda1 lambda2)) 1.180 * [backup-simplify]: Simplify (* (sin (- lambda1 lambda2)) 0) into 0 1.180 * [backup-simplify]: Simplify (- 0) into 0 1.180 * [backup-simplify]: Simplify (+ (cos (- lambda1 lambda2)) 0) into (cos (- lambda1 lambda2)) 1.180 * [backup-simplify]: Simplify (* (cos (- lambda1 lambda2)) 1) into (cos (- lambda1 lambda2)) 1.180 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 1.180 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 1.180 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.180 * [backup-simplify]: Simplify 0 into 0 1.180 * [backup-simplify]: Simplify 1 into 1 1.180 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.180 * [backup-simplify]: Simplify lambda2 into lambda2 1.180 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.180 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 1.180 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 1.180 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 1.180 * [backup-simplify]: Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2)) 1.180 * [backup-simplify]: Simplify (* (sin (- lambda2)) 0) into 0 1.180 * [backup-simplify]: Simplify (- 0) into 0 1.181 * [backup-simplify]: Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2)) 1.181 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 1.181 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.181 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.181 * [backup-simplify]: Simplify 0 into 0 1.181 * [backup-simplify]: Simplify 1 into 1 1.181 * [backup-simplify]: Simplify (- 0) into 0 1.181 * [backup-simplify]: Simplify (- 1) into -1 1.181 * [backup-simplify]: Simplify 1 into 1 1.181 * [backup-simplify]: Simplify (+ 0) into 0 1.182 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 1)) into 0 1.182 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.182 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 0)) into 0 1.183 * [backup-simplify]: Simplify (- 0) into 0 1.183 * [backup-simplify]: Simplify (+ 0 0) into 0 1.183 * [backup-simplify]: Simplify (+ 0) into 0 1.183 * [backup-simplify]: Simplify (+ (* (cos (- lambda1 lambda2)) 0) (* 0 1)) into 0 1.184 * [backup-simplify]: Simplify (- 0) into 0 1.184 * [backup-simplify]: Simplify (+ 0 0) into 0 1.185 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.185 * [backup-simplify]: Simplify (+ (* (sin (- lambda1 lambda2)) 0) (* 0 0)) into 0 1.185 * [backup-simplify]: Simplify (- 0) into 0 1.185 * [backup-simplify]: Simplify (+ 0 0) into 0 1.185 * [backup-simplify]: Simplify (+ (* (cos (- lambda1 lambda2)) 0) (* 0 (cos phi2))) into 0 1.186 * [backup-simplify]: Simplify (+ 0) into 0 1.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (* (cos (- lambda1 lambda2)) (cos phi2)))) into 0 1.186 * [taylor]: Taking taylor expansion of 0 in phi2 1.186 * [backup-simplify]: Simplify 0 into 0 1.186 * [taylor]: Taking taylor expansion of 0 in lambda1 1.186 * [backup-simplify]: Simplify 0 into 0 1.186 * [taylor]: Taking taylor expansion of 0 in lambda2 1.186 * [backup-simplify]: Simplify 0 into 0 1.186 * [backup-simplify]: Simplify 0 into 0 1.186 * [backup-simplify]: Simplify (+ 0) into 0 1.187 * [backup-simplify]: Simplify (+ 0) into 0 1.187 * [backup-simplify]: Simplify (+ (* (cos (- lambda1 lambda2)) 0) (* 0 1)) into 0 1.187 * [backup-simplify]: Simplify (- 0) into 0 1.187 * [backup-simplify]: Simplify (+ 0 0) into 0 1.188 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.188 * [backup-simplify]: Simplify (+ (* (sin (- lambda1 lambda2)) 0) (* 0 0)) into 0 1.188 * [backup-simplify]: Simplify (- 0) into 0 1.189 * [backup-simplify]: Simplify (+ 0 0) into 0 1.189 * [backup-simplify]: Simplify (+ (* (cos (- lambda1 lambda2)) 0) (* 0 1)) into 0 1.189 * [taylor]: Taking taylor expansion of 0 in lambda1 1.189 * [backup-simplify]: Simplify 0 into 0 1.189 * [taylor]: Taking taylor expansion of 0 in lambda2 1.189 * [backup-simplify]: Simplify 0 into 0 1.189 * [backup-simplify]: Simplify 0 into 0 1.189 * [backup-simplify]: Simplify (+ 0) into 0 1.190 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (* 0 1)) into 0 1.190 * [backup-simplify]: Simplify (- 0) into 0 1.190 * [backup-simplify]: Simplify (+ 1 0) into 1 1.190 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.191 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 1) (* 0 0)) into (sin (- lambda2)) 1.191 * [backup-simplify]: Simplify (- (sin (- lambda2))) into (- (sin (- lambda2))) 1.191 * [backup-simplify]: Simplify (+ 0 (- (sin (- lambda2)))) into (- (sin (- lambda2))) 1.191 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 1.191 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.191 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.191 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.191 * [backup-simplify]: Simplify 0 into 0 1.191 * [backup-simplify]: Simplify 1 into 1 1.191 * [backup-simplify]: Simplify (- 0) into 0 1.191 * [backup-simplify]: Simplify (- 1) into -1 1.192 * [backup-simplify]: Simplify (- 0) into 0 1.192 * [backup-simplify]: Simplify 0 into 0 1.192 * [backup-simplify]: Simplify (+ 0) into 0 1.192 * [backup-simplify]: Simplify 0 into 0 1.192 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.193 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 1))) into 0 1.193 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.194 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 0))) into 0 1.194 * [backup-simplify]: Simplify (- 0) into 0 1.194 * [backup-simplify]: Simplify (+ 0 0) into 0 1.195 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.195 * [backup-simplify]: Simplify (+ (* (cos (- lambda1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.195 * [backup-simplify]: Simplify (- 0) into 0 1.195 * [backup-simplify]: Simplify (+ 0 0) into 0 1.196 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.196 * [backup-simplify]: Simplify (+ (* (sin (- lambda1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.197 * [backup-simplify]: Simplify (- 0) into 0 1.197 * [backup-simplify]: Simplify (+ 0 0) into 0 1.197 * [backup-simplify]: Simplify (+ (* (cos (- lambda1 lambda2)) 0) (+ (* 0 0) (* 0 (cos phi2)))) into 0 1.198 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/2 (* (cos (- lambda1 lambda2)) (cos phi2))))) into (- (* 1/2 (* (cos (- lambda1 lambda2)) (cos phi2)))) 1.198 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (cos (- lambda1 lambda2)) (cos phi2)))) in phi2 1.198 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos (- lambda1 lambda2)) (cos phi2))) in phi2 1.198 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.198 * [backup-simplify]: Simplify 1/2 into 1/2 1.198 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in phi2 1.198 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi2 1.198 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2 1.198 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.198 * [backup-simplify]: Simplify lambda1 into lambda1 1.198 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.198 * [backup-simplify]: Simplify lambda2 into lambda2 1.199 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.199 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 1.199 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2)) 1.199 * [backup-simplify]: Simplify (sin (- lambda1 lambda2)) into (sin (- lambda1 lambda2)) 1.199 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.199 * [taylor]: Taking taylor expansion of phi2 in phi2 1.199 * [backup-simplify]: Simplify 0 into 0 1.199 * [backup-simplify]: Simplify 1 into 1 1.199 * [backup-simplify]: Simplify (* (cos (- lambda1 lambda2)) 1) into (cos (- lambda1 lambda2)) 1.199 * [backup-simplify]: Simplify (* (sin (- lambda1 lambda2)) 0) into 0 1.199 * [backup-simplify]: Simplify (- 0) into 0 1.199 * [backup-simplify]: Simplify (+ (cos (- lambda1 lambda2)) 0) into (cos (- lambda1 lambda2)) 1.199 * [backup-simplify]: Simplify (* (cos (- lambda1 lambda2)) 1) into (cos (- lambda1 lambda2)) 1.199 * [backup-simplify]: Simplify (* 1/2 (cos (- lambda1 lambda2))) into (* 1/2 (cos (- lambda1 lambda2))) 1.199 * [backup-simplify]: Simplify (- (* 1/2 (cos (- lambda1 lambda2)))) into (- (* 1/2 (cos (- lambda1 lambda2)))) 1.199 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda1 lambda2)))) in lambda1 1.199 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda1 lambda2))) in lambda1 1.199 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.199 * [backup-simplify]: Simplify 1/2 into 1/2 1.199 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 1.199 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 1.199 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.199 * [backup-simplify]: Simplify 0 into 0 1.199 * [backup-simplify]: Simplify 1 into 1 1.199 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.199 * [backup-simplify]: Simplify lambda2 into lambda2 1.199 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.199 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 1.200 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 1.200 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 1.200 * [backup-simplify]: Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2)) 1.200 * [backup-simplify]: Simplify (* (sin (- lambda2)) 0) into 0 1.200 * [backup-simplify]: Simplify (- 0) into 0 1.200 * [backup-simplify]: Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2)) 1.200 * [backup-simplify]: Simplify (* 1/2 (cos (- lambda2))) into (* 1/2 (cos (- lambda2))) 1.200 * [backup-simplify]: Simplify (- (* 1/2 (cos (- lambda2)))) into (- (* 1/2 (cos (- lambda2)))) 1.200 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 1.200 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 1.200 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.200 * [backup-simplify]: Simplify 1/2 into 1/2 1.200 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 1.200 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.200 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.200 * [backup-simplify]: Simplify 0 into 0 1.200 * [backup-simplify]: Simplify 1 into 1 1.200 * [backup-simplify]: Simplify (- 0) into 0 1.201 * [backup-simplify]: Simplify (- 1) into -1 1.201 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.201 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.201 * [backup-simplify]: Simplify -1/2 into -1/2 1.201 * [taylor]: Taking taylor expansion of 0 in lambda1 1.201 * [backup-simplify]: Simplify 0 into 0 1.201 * [taylor]: Taking taylor expansion of 0 in lambda2 1.201 * [backup-simplify]: Simplify 0 into 0 1.201 * [backup-simplify]: Simplify 0 into 0 1.202 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.202 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.203 * [backup-simplify]: Simplify (+ (* (cos (- lambda1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.203 * [backup-simplify]: Simplify (- 0) into 0 1.203 * [backup-simplify]: Simplify (+ 0 0) into 0 1.204 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.204 * [backup-simplify]: Simplify (+ (* (sin (- lambda1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.204 * [backup-simplify]: Simplify (- 0) into 0 1.205 * [backup-simplify]: Simplify (+ 0 0) into 0 1.205 * [backup-simplify]: Simplify (+ (* (cos (- lambda1 lambda2)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (- lambda1 lambda2)))) 1.205 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda1 lambda2)))) in lambda1 1.205 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda1 lambda2))) in lambda1 1.205 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.205 * [backup-simplify]: Simplify 1/2 into 1/2 1.205 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 1.205 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 1.205 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.205 * [backup-simplify]: Simplify 0 into 0 1.205 * [backup-simplify]: Simplify 1 into 1 1.205 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.205 * [backup-simplify]: Simplify lambda2 into lambda2 1.205 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.205 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 1.205 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 1.205 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 1.205 * [backup-simplify]: Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2)) 1.206 * [backup-simplify]: Simplify (* (sin (- lambda2)) 0) into 0 1.206 * [backup-simplify]: Simplify (- 0) into 0 1.206 * [backup-simplify]: Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2)) 1.206 * [backup-simplify]: Simplify (* 1/2 (cos (- lambda2))) into (* 1/2 (cos (- lambda2))) 1.206 * [backup-simplify]: Simplify (- (* 1/2 (cos (- lambda2)))) into (- (* 1/2 (cos (- lambda2)))) 1.206 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 1.206 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 1.206 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.206 * [backup-simplify]: Simplify 1/2 into 1/2 1.206 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 1.206 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.206 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.206 * [backup-simplify]: Simplify 0 into 0 1.206 * [backup-simplify]: Simplify 1 into 1 1.206 * [backup-simplify]: Simplify (- 0) into 0 1.207 * [backup-simplify]: Simplify (- 1) into -1 1.207 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.207 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.207 * [backup-simplify]: Simplify -1/2 into -1/2 1.207 * [backup-simplify]: Simplify (+ (* -1/2 (pow (* 1 (* 1 (* phi2 1))) 2)) (+ (* -1/2 (pow (* 1 (* 1 (* 1 phi1))) 2)) 1)) into (- 1 (+ (* 1/2 (pow phi2 2)) (* 1/2 (pow phi1 2)))) 1.208 * [backup-simplify]: Simplify (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))) into (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) 1.208 * [approximate]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) in (phi1 phi2 lambda1 lambda2) around 0 1.208 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) in lambda2 1.208 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 1.208 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.208 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.208 * [backup-simplify]: Simplify phi2 into phi2 1.208 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.208 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.208 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.208 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) in lambda2 1.208 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 1.208 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 1.208 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.208 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.208 * [backup-simplify]: Simplify lambda1 into lambda1 1.208 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.208 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.208 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.208 * [backup-simplify]: Simplify 0 into 0 1.208 * [backup-simplify]: Simplify 1 into 1 1.209 * [backup-simplify]: Simplify (/ 1 1) into 1 1.209 * [backup-simplify]: Simplify (- 1) into -1 1.210 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.210 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.210 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 1.210 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.210 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.210 * [backup-simplify]: Simplify phi1 into phi1 1.210 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.210 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.210 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.210 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) in lambda1 1.210 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 1.210 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.210 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.210 * [backup-simplify]: Simplify phi2 into phi2 1.210 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.210 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.210 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.210 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) in lambda1 1.210 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 1.210 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 1.210 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.210 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.210 * [backup-simplify]: Simplify 0 into 0 1.211 * [backup-simplify]: Simplify 1 into 1 1.211 * [backup-simplify]: Simplify (/ 1 1) into 1 1.211 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.211 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.211 * [backup-simplify]: Simplify lambda2 into lambda2 1.211 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.211 * [backup-simplify]: Simplify (+ 1 0) into 1 1.212 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.212 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 1.212 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.212 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.212 * [backup-simplify]: Simplify phi1 into phi1 1.212 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.212 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.212 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.212 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) in phi2 1.212 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 1.212 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.212 * [taylor]: Taking taylor expansion of phi2 in phi2 1.212 * [backup-simplify]: Simplify 0 into 0 1.212 * [backup-simplify]: Simplify 1 into 1 1.212 * [backup-simplify]: Simplify (/ 1 1) into 1 1.213 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.213 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) in phi2 1.213 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi2 1.213 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 1.213 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.213 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.213 * [backup-simplify]: Simplify lambda1 into lambda1 1.213 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.213 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.213 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.213 * [backup-simplify]: Simplify lambda2 into lambda2 1.213 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.213 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1.213 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) 1.213 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.213 * [backup-simplify]: Simplify (sin (- (/ 1 lambda1) (/ 1 lambda2))) into (sin (- (/ 1 lambda1) (/ 1 lambda2))) 1.213 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 1.213 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.213 * [taylor]: Taking taylor expansion of phi1 in phi2 1.213 * [backup-simplify]: Simplify phi1 into phi1 1.213 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.214 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.214 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.214 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) in phi1 1.214 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 1.214 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.214 * [taylor]: Taking taylor expansion of phi2 in phi1 1.214 * [backup-simplify]: Simplify phi2 into phi2 1.214 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.214 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.214 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.214 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) in phi1 1.214 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi1 1.214 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 1.214 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.214 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.214 * [backup-simplify]: Simplify lambda1 into lambda1 1.214 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.214 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.214 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.214 * [backup-simplify]: Simplify lambda2 into lambda2 1.214 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.214 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1.214 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) 1.215 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.215 * [backup-simplify]: Simplify (sin (- (/ 1 lambda1) (/ 1 lambda2))) into (sin (- (/ 1 lambda1) (/ 1 lambda2))) 1.215 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 1.215 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.215 * [taylor]: Taking taylor expansion of phi1 in phi1 1.215 * [backup-simplify]: Simplify 0 into 0 1.215 * [backup-simplify]: Simplify 1 into 1 1.215 * [backup-simplify]: Simplify (/ 1 1) into 1 1.215 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.215 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) in phi1 1.215 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 1.215 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.216 * [taylor]: Taking taylor expansion of phi2 in phi1 1.216 * [backup-simplify]: Simplify phi2 into phi2 1.216 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.216 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.216 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.216 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) in phi1 1.216 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi1 1.216 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 1.216 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.216 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.216 * [backup-simplify]: Simplify lambda1 into lambda1 1.216 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.216 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.216 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.216 * [backup-simplify]: Simplify lambda2 into lambda2 1.216 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.216 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1.216 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) 1.216 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.216 * [backup-simplify]: Simplify (sin (- (/ 1 lambda1) (/ 1 lambda2))) into (sin (- (/ 1 lambda1) (/ 1 lambda2))) 1.217 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 1.217 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.217 * [taylor]: Taking taylor expansion of phi1 in phi1 1.217 * [backup-simplify]: Simplify 0 into 0 1.217 * [backup-simplify]: Simplify 1 into 1 1.217 * [backup-simplify]: Simplify (/ 1 1) into 1 1.217 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.218 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2)) 1.218 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 0) into 0 1.218 * [backup-simplify]: Simplify (- 0) into 0 1.218 * [backup-simplify]: Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2)) 1.218 * [backup-simplify]: Simplify (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.218 * [backup-simplify]: Simplify (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) 0) into 0 1.219 * [backup-simplify]: Simplify (- 0) into 0 1.219 * [backup-simplify]: Simplify (+ (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.219 * [backup-simplify]: Simplify (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) into (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) 1.219 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) 1.219 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) in phi2 1.220 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 1.220 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.220 * [taylor]: Taking taylor expansion of phi2 in phi2 1.220 * [backup-simplify]: Simplify 0 into 0 1.220 * [backup-simplify]: Simplify 1 into 1 1.220 * [backup-simplify]: Simplify (/ 1 1) into 1 1.220 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.220 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) in phi2 1.220 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi2 1.220 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 1.220 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.220 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.220 * [backup-simplify]: Simplify lambda1 into lambda1 1.220 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.220 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.220 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.220 * [backup-simplify]: Simplify lambda2 into lambda2 1.220 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.220 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1.221 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) 1.221 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.221 * [backup-simplify]: Simplify (sin (- (/ 1 lambda1) (/ 1 lambda2))) into (sin (- (/ 1 lambda1) (/ 1 lambda2))) 1.221 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 1.221 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.221 * [taylor]: Taking taylor expansion of phi1 in phi2 1.221 * [backup-simplify]: Simplify phi1 into phi1 1.221 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.221 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.221 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.221 * [backup-simplify]: Simplify (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.221 * [backup-simplify]: Simplify (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) 0) into 0 1.222 * [backup-simplify]: Simplify (- 0) into 0 1.222 * [backup-simplify]: Simplify (+ (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.222 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1)) 1.222 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 0) into 0 1.222 * [backup-simplify]: Simplify (- 0) into 0 1.223 * [backup-simplify]: Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1)) 1.223 * [backup-simplify]: Simplify (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) into (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) 1.223 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) 1.223 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) in lambda1 1.223 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 1.223 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.223 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.223 * [backup-simplify]: Simplify phi2 into phi2 1.223 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.223 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.223 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.223 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) in lambda1 1.223 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 1.223 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 1.223 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.223 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.223 * [backup-simplify]: Simplify 0 into 0 1.223 * [backup-simplify]: Simplify 1 into 1 1.224 * [backup-simplify]: Simplify (/ 1 1) into 1 1.224 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.224 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.224 * [backup-simplify]: Simplify lambda2 into lambda2 1.224 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.224 * [backup-simplify]: Simplify (+ 1 0) into 1 1.224 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.224 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 1.225 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.225 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.225 * [backup-simplify]: Simplify phi1 into phi1 1.225 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.225 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.225 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.225 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2)) 1.225 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 0) into 0 1.225 * [backup-simplify]: Simplify (- 0) into 0 1.225 * [backup-simplify]: Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2)) 1.225 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1)) 1.226 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 0) into 0 1.226 * [backup-simplify]: Simplify (- 0) into 0 1.226 * [backup-simplify]: Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1)) 1.226 * [backup-simplify]: Simplify (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) into (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) 1.226 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) 1.226 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) in lambda2 1.226 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 1.226 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.226 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.226 * [backup-simplify]: Simplify phi2 into phi2 1.227 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.227 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.227 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.227 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) in lambda2 1.227 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 1.227 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 1.227 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.227 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.227 * [backup-simplify]: Simplify lambda1 into lambda1 1.227 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.227 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.227 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.227 * [backup-simplify]: Simplify 0 into 0 1.227 * [backup-simplify]: Simplify 1 into 1 1.227 * [backup-simplify]: Simplify (/ 1 1) into 1 1.228 * [backup-simplify]: Simplify (- 1) into -1 1.228 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.228 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.228 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 1.228 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.228 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.228 * [backup-simplify]: Simplify phi1 into phi1 1.228 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.228 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.228 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.228 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2)) 1.228 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 0) into 0 1.229 * [backup-simplify]: Simplify (- 0) into 0 1.229 * [backup-simplify]: Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2)) 1.229 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1)) 1.229 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 0) into 0 1.229 * [backup-simplify]: Simplify (- 0) into 0 1.229 * [backup-simplify]: Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1)) 1.229 * [backup-simplify]: Simplify (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) into (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) 1.229 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) 1.229 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) 1.230 * [backup-simplify]: Simplify (+ 0) into 0 1.230 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 1)) into 0 1.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 1.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 1.231 * [backup-simplify]: Simplify (- 0) into 0 1.231 * [backup-simplify]: Simplify (+ 0 0) into 0 1.231 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.232 * [backup-simplify]: Simplify (+ (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 0)) into 0 1.232 * [backup-simplify]: Simplify (- 0) into 0 1.232 * [backup-simplify]: Simplify (+ 0 0) into 0 1.232 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 (cos (/ 1 phi1)))) into 0 1.232 * [backup-simplify]: Simplify (+ 0) into 0 1.233 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0 1.233 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.233 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.234 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0 1.234 * [backup-simplify]: Simplify (- 0) into 0 1.234 * [backup-simplify]: Simplify (+ 0 0) into 0 1.234 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))) into 0 1.234 * [taylor]: Taking taylor expansion of 0 in phi2 1.234 * [backup-simplify]: Simplify 0 into 0 1.234 * [taylor]: Taking taylor expansion of 0 in lambda1 1.234 * [backup-simplify]: Simplify 0 into 0 1.234 * [taylor]: Taking taylor expansion of 0 in lambda2 1.234 * [backup-simplify]: Simplify 0 into 0 1.234 * [backup-simplify]: Simplify 0 into 0 1.235 * [backup-simplify]: Simplify (+ 0) into 0 1.235 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 1)) into 0 1.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.235 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.236 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 0)) into 0 1.236 * [backup-simplify]: Simplify (- 0) into 0 1.236 * [backup-simplify]: Simplify (+ 0 0) into 0 1.236 * [backup-simplify]: Simplify (+ 0) into 0 1.237 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 1)) into 0 1.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 1.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 1.237 * [backup-simplify]: Simplify (- 0) into 0 1.237 * [backup-simplify]: Simplify (+ 0 0) into 0 1.238 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.238 * [backup-simplify]: Simplify (+ (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 0)) into 0 1.238 * [backup-simplify]: Simplify (- 0) into 0 1.239 * [backup-simplify]: Simplify (+ 0 0) into 0 1.239 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 (cos (/ 1 phi1)))) into 0 1.239 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))) into 0 1.239 * [taylor]: Taking taylor expansion of 0 in lambda1 1.239 * [backup-simplify]: Simplify 0 into 0 1.239 * [taylor]: Taking taylor expansion of 0 in lambda2 1.239 * [backup-simplify]: Simplify 0 into 0 1.239 * [backup-simplify]: Simplify 0 into 0 1.239 * [backup-simplify]: Simplify (+ 0) into 0 1.240 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 1)) into 0 1.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.240 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.240 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 0)) into 0 1.241 * [backup-simplify]: Simplify (- 0) into 0 1.241 * [backup-simplify]: Simplify (+ 0 0) into 0 1.241 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 (cos (/ 1 phi1)))) into 0 1.241 * [backup-simplify]: Simplify (+ 0) into 0 1.242 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0 1.242 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.242 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.242 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0 1.243 * [backup-simplify]: Simplify (- 0) into 0 1.243 * [backup-simplify]: Simplify (+ 0 0) into 0 1.243 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))) into 0 1.243 * [taylor]: Taking taylor expansion of 0 in lambda2 1.243 * [backup-simplify]: Simplify 0 into 0 1.243 * [backup-simplify]: Simplify 0 into 0 1.243 * [backup-simplify]: Simplify (+ 0) into 0 1.244 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 1)) into 0 1.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.244 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.244 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 0)) into 0 1.245 * [backup-simplify]: Simplify (- 0) into 0 1.245 * [backup-simplify]: Simplify (+ 0 0) into 0 1.245 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 (cos (/ 1 phi1)))) into 0 1.245 * [backup-simplify]: Simplify (+ 0) into 0 1.246 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0 1.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.246 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.246 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0 1.247 * [backup-simplify]: Simplify (- 0) into 0 1.247 * [backup-simplify]: Simplify (+ 0 0) into 0 1.247 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))) into 0 1.247 * [backup-simplify]: Simplify 0 into 0 1.248 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.248 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (+ (* 0 0) (* 0 1))) into 0 1.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 1.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 1.249 * [backup-simplify]: Simplify (- 0) into 0 1.249 * [backup-simplify]: Simplify (+ 0 0) into 0 1.249 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.250 * [backup-simplify]: Simplify (+ (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) 0) (+ (* 0 0) (* 0 0))) into 0 1.250 * [backup-simplify]: Simplify (- 0) into 0 1.250 * [backup-simplify]: Simplify (+ 0 0) into 0 1.250 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (+ (* 0 0) (* 0 (cos (/ 1 phi1))))) into 0 1.251 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.251 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.251 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.252 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.252 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.252 * [backup-simplify]: Simplify (- 0) into 0 1.253 * [backup-simplify]: Simplify (+ 0 0) into 0 1.253 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into 0 1.253 * [taylor]: Taking taylor expansion of 0 in phi2 1.253 * [backup-simplify]: Simplify 0 into 0 1.253 * [taylor]: Taking taylor expansion of 0 in lambda1 1.253 * [backup-simplify]: Simplify 0 into 0 1.253 * [taylor]: Taking taylor expansion of 0 in lambda2 1.253 * [backup-simplify]: Simplify 0 into 0 1.253 * [backup-simplify]: Simplify 0 into 0 1.253 * [taylor]: Taking taylor expansion of 0 in lambda1 1.253 * [backup-simplify]: Simplify 0 into 0 1.253 * [taylor]: Taking taylor expansion of 0 in lambda2 1.253 * [backup-simplify]: Simplify 0 into 0 1.253 * [backup-simplify]: Simplify 0 into 0 1.253 * [backup-simplify]: Simplify (* (cos (/ 1 (/ 1 phi2))) (* (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) (cos (/ 1 (/ 1 phi1))))) into (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 1.254 * [backup-simplify]: Simplify (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) 1.254 * [approximate]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in (phi1 phi2 lambda1 lambda2) around 0 1.254 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 1.254 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 1.254 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 1.254 * [taylor]: Taking taylor expansion of -1 in lambda2 1.254 * [backup-simplify]: Simplify -1 into -1 1.254 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.254 * [backup-simplify]: Simplify phi1 into phi1 1.254 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 1.254 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.254 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.254 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda2 1.254 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 1.254 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 1.254 * [taylor]: Taking taylor expansion of -1 in lambda2 1.254 * [backup-simplify]: Simplify -1 into -1 1.254 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.254 * [backup-simplify]: Simplify phi2 into phi2 1.254 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 1.254 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.254 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.254 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 1.254 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 1.254 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.254 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.254 * [backup-simplify]: Simplify 0 into 0 1.254 * [backup-simplify]: Simplify 1 into 1 1.254 * [backup-simplify]: Simplify (/ 1 1) into 1 1.255 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.255 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.255 * [backup-simplify]: Simplify lambda1 into lambda1 1.255 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.255 * [backup-simplify]: Simplify (+ 1 0) into 1 1.255 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.255 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda1 1.255 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 1.255 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 1.255 * [taylor]: Taking taylor expansion of -1 in lambda1 1.255 * [backup-simplify]: Simplify -1 into -1 1.255 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.255 * [backup-simplify]: Simplify phi1 into phi1 1.255 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 1.255 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.255 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.255 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda1 1.255 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 1.255 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 1.255 * [taylor]: Taking taylor expansion of -1 in lambda1 1.255 * [backup-simplify]: Simplify -1 into -1 1.255 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.255 * [backup-simplify]: Simplify phi2 into phi2 1.255 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 1.255 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.255 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.255 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 1.255 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 1.255 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.255 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.255 * [backup-simplify]: Simplify lambda2 into lambda2 1.255 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.256 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.256 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.256 * [backup-simplify]: Simplify 0 into 0 1.256 * [backup-simplify]: Simplify 1 into 1 1.256 * [backup-simplify]: Simplify (/ 1 1) into 1 1.256 * [backup-simplify]: Simplify (- 1) into -1 1.256 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.256 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.256 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi2 1.256 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 1.256 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.256 * [taylor]: Taking taylor expansion of -1 in phi2 1.256 * [backup-simplify]: Simplify -1 into -1 1.256 * [taylor]: Taking taylor expansion of phi1 in phi2 1.256 * [backup-simplify]: Simplify phi1 into phi1 1.257 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 1.257 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.257 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.257 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi2 1.257 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 1.257 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.257 * [taylor]: Taking taylor expansion of -1 in phi2 1.257 * [backup-simplify]: Simplify -1 into -1 1.257 * [taylor]: Taking taylor expansion of phi2 in phi2 1.257 * [backup-simplify]: Simplify 0 into 0 1.257 * [backup-simplify]: Simplify 1 into 1 1.257 * [backup-simplify]: Simplify (/ -1 1) into -1 1.257 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.257 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi2 1.257 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi2 1.257 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.257 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.257 * [backup-simplify]: Simplify lambda2 into lambda2 1.257 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.257 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.257 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.257 * [backup-simplify]: Simplify lambda1 into lambda1 1.257 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.257 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1)) 1.257 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) 1.257 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.258 * [backup-simplify]: Simplify (sin (- (/ 1 lambda2) (/ 1 lambda1))) into (sin (- (/ 1 lambda2) (/ 1 lambda1))) 1.258 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi1 1.258 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 1.258 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.258 * [taylor]: Taking taylor expansion of -1 in phi1 1.258 * [backup-simplify]: Simplify -1 into -1 1.258 * [taylor]: Taking taylor expansion of phi1 in phi1 1.258 * [backup-simplify]: Simplify 0 into 0 1.258 * [backup-simplify]: Simplify 1 into 1 1.258 * [backup-simplify]: Simplify (/ -1 1) into -1 1.258 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.258 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi1 1.258 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 1.258 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.258 * [taylor]: Taking taylor expansion of -1 in phi1 1.258 * [backup-simplify]: Simplify -1 into -1 1.258 * [taylor]: Taking taylor expansion of phi2 in phi1 1.258 * [backup-simplify]: Simplify phi2 into phi2 1.258 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 1.258 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.258 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.258 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi1 1.258 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi1 1.258 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.258 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.258 * [backup-simplify]: Simplify lambda2 into lambda2 1.258 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.258 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.258 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.258 * [backup-simplify]: Simplify lambda1 into lambda1 1.258 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.258 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1)) 1.258 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) 1.259 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.259 * [backup-simplify]: Simplify (sin (- (/ 1 lambda2) (/ 1 lambda1))) into (sin (- (/ 1 lambda2) (/ 1 lambda1))) 1.259 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi1 1.259 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 1.259 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.259 * [taylor]: Taking taylor expansion of -1 in phi1 1.259 * [backup-simplify]: Simplify -1 into -1 1.259 * [taylor]: Taking taylor expansion of phi1 in phi1 1.259 * [backup-simplify]: Simplify 0 into 0 1.259 * [backup-simplify]: Simplify 1 into 1 1.259 * [backup-simplify]: Simplify (/ -1 1) into -1 1.259 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.259 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi1 1.259 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 1.259 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.259 * [taylor]: Taking taylor expansion of -1 in phi1 1.259 * [backup-simplify]: Simplify -1 into -1 1.259 * [taylor]: Taking taylor expansion of phi2 in phi1 1.259 * [backup-simplify]: Simplify phi2 into phi2 1.259 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 1.259 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.259 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.259 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi1 1.259 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi1 1.260 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.260 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.260 * [backup-simplify]: Simplify lambda2 into lambda2 1.260 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.260 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.260 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.260 * [backup-simplify]: Simplify lambda1 into lambda1 1.260 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.260 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1)) 1.260 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) 1.260 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.260 * [backup-simplify]: Simplify (sin (- (/ 1 lambda2) (/ 1 lambda1))) into (sin (- (/ 1 lambda2) (/ 1 lambda1))) 1.260 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2)) 1.260 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 0) into 0 1.261 * [backup-simplify]: Simplify (- 0) into 0 1.261 * [backup-simplify]: Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2)) 1.261 * [backup-simplify]: Simplify (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.261 * [backup-simplify]: Simplify (* (sin (- (/ 1 lambda2) (/ 1 lambda1))) 0) into 0 1.262 * [backup-simplify]: Simplify (- 0) into 0 1.262 * [backup-simplify]: Simplify (+ (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.262 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) 1.262 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) 1.262 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi2 1.262 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 1.263 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.263 * [taylor]: Taking taylor expansion of -1 in phi2 1.263 * [backup-simplify]: Simplify -1 into -1 1.263 * [taylor]: Taking taylor expansion of phi1 in phi2 1.263 * [backup-simplify]: Simplify phi1 into phi1 1.263 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 1.263 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.263 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.263 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi2 1.263 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 1.263 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.263 * [taylor]: Taking taylor expansion of -1 in phi2 1.263 * [backup-simplify]: Simplify -1 into -1 1.263 * [taylor]: Taking taylor expansion of phi2 in phi2 1.263 * [backup-simplify]: Simplify 0 into 0 1.263 * [backup-simplify]: Simplify 1 into 1 1.263 * [backup-simplify]: Simplify (/ -1 1) into -1 1.263 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.263 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi2 1.263 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi2 1.263 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.264 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.264 * [backup-simplify]: Simplify lambda2 into lambda2 1.264 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.264 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.264 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.264 * [backup-simplify]: Simplify lambda1 into lambda1 1.264 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.264 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1)) 1.264 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) 1.264 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.264 * [backup-simplify]: Simplify (sin (- (/ 1 lambda2) (/ 1 lambda1))) into (sin (- (/ 1 lambda2) (/ 1 lambda1))) 1.264 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1)) 1.264 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 0) into 0 1.264 * [backup-simplify]: Simplify (- 0) into 0 1.264 * [backup-simplify]: Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1)) 1.264 * [backup-simplify]: Simplify (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.264 * [backup-simplify]: Simplify (* (sin (- (/ 1 lambda2) (/ 1 lambda1))) 0) into 0 1.265 * [backup-simplify]: Simplify (- 0) into 0 1.265 * [backup-simplify]: Simplify (+ (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.265 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) 1.265 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) 1.265 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda1 1.265 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 1.265 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 1.265 * [taylor]: Taking taylor expansion of -1 in lambda1 1.265 * [backup-simplify]: Simplify -1 into -1 1.265 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.265 * [backup-simplify]: Simplify phi1 into phi1 1.265 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 1.265 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.265 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.265 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda1 1.265 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 1.265 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 1.265 * [taylor]: Taking taylor expansion of -1 in lambda1 1.265 * [backup-simplify]: Simplify -1 into -1 1.265 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.265 * [backup-simplify]: Simplify phi2 into phi2 1.265 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 1.265 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.265 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.266 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 1.266 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 1.266 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.266 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.266 * [backup-simplify]: Simplify lambda2 into lambda2 1.266 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.266 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.266 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.266 * [backup-simplify]: Simplify 0 into 0 1.266 * [backup-simplify]: Simplify 1 into 1 1.266 * [backup-simplify]: Simplify (/ 1 1) into 1 1.266 * [backup-simplify]: Simplify (- 1) into -1 1.266 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.267 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.267 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1)) 1.267 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 0) into 0 1.267 * [backup-simplify]: Simplify (- 0) into 0 1.267 * [backup-simplify]: Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1)) 1.267 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2)) 1.267 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 0) into 0 1.267 * [backup-simplify]: Simplify (- 0) into 0 1.268 * [backup-simplify]: Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2)) 1.268 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) 1.268 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) 1.268 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 1.268 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 1.268 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 1.268 * [taylor]: Taking taylor expansion of -1 in lambda2 1.268 * [backup-simplify]: Simplify -1 into -1 1.268 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.268 * [backup-simplify]: Simplify phi1 into phi1 1.268 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 1.268 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.268 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.268 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda2 1.268 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 1.268 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 1.268 * [taylor]: Taking taylor expansion of -1 in lambda2 1.268 * [backup-simplify]: Simplify -1 into -1 1.268 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.268 * [backup-simplify]: Simplify phi2 into phi2 1.268 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 1.268 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.268 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.268 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 1.268 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 1.268 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.268 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.268 * [backup-simplify]: Simplify 0 into 0 1.268 * [backup-simplify]: Simplify 1 into 1 1.269 * [backup-simplify]: Simplify (/ 1 1) into 1 1.269 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.269 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.269 * [backup-simplify]: Simplify lambda1 into lambda1 1.269 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.269 * [backup-simplify]: Simplify (+ 1 0) into 1 1.269 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.269 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1)) 1.269 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 0) into 0 1.269 * [backup-simplify]: Simplify (- 0) into 0 1.269 * [backup-simplify]: Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1)) 1.269 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2)) 1.269 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 0) into 0 1.270 * [backup-simplify]: Simplify (- 0) into 0 1.270 * [backup-simplify]: Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2)) 1.270 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) 1.270 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) 1.270 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) 1.270 * [backup-simplify]: Simplify (+ 0) into 0 1.271 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0) (* 0 1)) into 0 1.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 1.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 1.271 * [backup-simplify]: Simplify (- 0) into 0 1.271 * [backup-simplify]: Simplify (+ 0 0) into 0 1.272 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.272 * [backup-simplify]: Simplify (+ (* (sin (- (/ 1 lambda2) (/ 1 lambda1))) 0) (* 0 0)) into 0 1.272 * [backup-simplify]: Simplify (- 0) into 0 1.273 * [backup-simplify]: Simplify (+ 0 0) into 0 1.273 * [backup-simplify]: Simplify (+ 0) into 0 1.273 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 1)) into 0 1.273 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 1.274 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.274 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 0)) into 0 1.274 * [backup-simplify]: Simplify (- 0) into 0 1.274 * [backup-simplify]: Simplify (+ 0 0) into 0 1.275 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into 0 1.275 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) into 0 1.275 * [taylor]: Taking taylor expansion of 0 in phi2 1.275 * [backup-simplify]: Simplify 0 into 0 1.275 * [taylor]: Taking taylor expansion of 0 in lambda1 1.275 * [backup-simplify]: Simplify 0 into 0 1.275 * [taylor]: Taking taylor expansion of 0 in lambda2 1.275 * [backup-simplify]: Simplify 0 into 0 1.275 * [backup-simplify]: Simplify 0 into 0 1.275 * [backup-simplify]: Simplify (+ 0) into 0 1.275 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0) (* 0 1)) into 0 1.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 1.276 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 1.276 * [backup-simplify]: Simplify (- 0) into 0 1.276 * [backup-simplify]: Simplify (+ 0 0) into 0 1.276 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.277 * [backup-simplify]: Simplify (+ (* (sin (- (/ 1 lambda2) (/ 1 lambda1))) 0) (* 0 0)) into 0 1.277 * [backup-simplify]: Simplify (- 0) into 0 1.277 * [backup-simplify]: Simplify (+ 0 0) into 0 1.278 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into 0 1.278 * [backup-simplify]: Simplify (+ 0) into 0 1.278 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0 1.278 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 1.279 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.279 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0 1.279 * [backup-simplify]: Simplify (- 0) into 0 1.279 * [backup-simplify]: Simplify (+ 0 0) into 0 1.280 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) into 0 1.280 * [taylor]: Taking taylor expansion of 0 in lambda1 1.280 * [backup-simplify]: Simplify 0 into 0 1.280 * [taylor]: Taking taylor expansion of 0 in lambda2 1.280 * [backup-simplify]: Simplify 0 into 0 1.280 * [backup-simplify]: Simplify 0 into 0 1.280 * [backup-simplify]: Simplify (+ 0) into 0 1.280 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 1)) into 0 1.280 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 1.283 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.284 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 0)) into 0 1.284 * [backup-simplify]: Simplify (- 0) into 0 1.284 * [backup-simplify]: Simplify (+ 0 0) into 0 1.284 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into 0 1.285 * [backup-simplify]: Simplify (+ 0) into 0 1.285 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0 1.285 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 1.285 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.286 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0 1.286 * [backup-simplify]: Simplify (- 0) into 0 1.286 * [backup-simplify]: Simplify (+ 0 0) into 0 1.286 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) into 0 1.286 * [taylor]: Taking taylor expansion of 0 in lambda2 1.286 * [backup-simplify]: Simplify 0 into 0 1.286 * [backup-simplify]: Simplify 0 into 0 1.287 * [backup-simplify]: Simplify (+ 0) into 0 1.287 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 1)) into 0 1.287 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 1.288 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.288 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 0)) into 0 1.288 * [backup-simplify]: Simplify (- 0) into 0 1.288 * [backup-simplify]: Simplify (+ 0 0) into 0 1.288 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into 0 1.289 * [backup-simplify]: Simplify (+ 0) into 0 1.289 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0 1.289 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 1.290 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.290 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0 1.290 * [backup-simplify]: Simplify (- 0) into 0 1.290 * [backup-simplify]: Simplify (+ 0 0) into 0 1.291 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) into 0 1.291 * [backup-simplify]: Simplify 0 into 0 1.291 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.292 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0) (+ (* 0 0) (* 0 1))) into 0 1.292 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 1.292 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 1.292 * [backup-simplify]: Simplify (- 0) into 0 1.292 * [backup-simplify]: Simplify (+ 0 0) into 0 1.293 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.293 * [backup-simplify]: Simplify (+ (* (sin (- (/ 1 lambda2) (/ 1 lambda1))) 0) (+ (* 0 0) (* 0 0))) into 0 1.293 * [backup-simplify]: Simplify (- 0) into 0 1.294 * [backup-simplify]: Simplify (+ 0 0) into 0 1.294 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.294 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.295 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.295 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.296 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.296 * [backup-simplify]: Simplify (- 0) into 0 1.296 * [backup-simplify]: Simplify (+ 0 0) into 0 1.297 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) into 0 1.298 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into 0 1.298 * [taylor]: Taking taylor expansion of 0 in phi2 1.298 * [backup-simplify]: Simplify 0 into 0 1.298 * [taylor]: Taking taylor expansion of 0 in lambda1 1.298 * [backup-simplify]: Simplify 0 into 0 1.298 * [taylor]: Taking taylor expansion of 0 in lambda2 1.298 * [backup-simplify]: Simplify 0 into 0 1.298 * [backup-simplify]: Simplify 0 into 0 1.298 * [taylor]: Taking taylor expansion of 0 in lambda1 1.298 * [backup-simplify]: Simplify 0 into 0 1.298 * [taylor]: Taking taylor expansion of 0 in lambda2 1.298 * [backup-simplify]: Simplify 0 into 0 1.298 * [backup-simplify]: Simplify 0 into 0 1.298 * [backup-simplify]: Simplify (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))))) into (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 1.298 * * * [progress]: simplifying candidates 1.298 * * * * [progress]: [ 1 / 73 ] simplifiying candidate # 1.299 * [simplify]: Simplifying (* (cos lambda1) (cos (- lambda2))) 1.299 * * [simplify]: iters left: 5 (6 enodes) 1.301 * * [simplify]: iters left: 4 (20 enodes) 1.306 * * [simplify]: Extracting #0: cost 1 inf + 0 1.306 * * [simplify]: Extracting #1: cost 4 inf + 0 1.306 * * [simplify]: Extracting #2: cost 9 inf + 0 1.306 * * [simplify]: Extracting #3: cost 5 inf + 165 1.307 * * [simplify]: Extracting #4: cost 0 inf + 652 1.307 * [simplify]: Simplified to (* (cos lambda1) (cos lambda2)) 1.307 * [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)) 1.307 * [simplify]: Simplifying (* (sin lambda1) (sin (- lambda2))) 1.307 * * [simplify]: iters left: 5 (6 enodes) 1.310 * * [simplify]: iters left: 4 (21 enodes) 1.316 * * [simplify]: iters left: 3 (27 enodes) 1.321 * * [simplify]: iters left: 2 (34 enodes) 1.325 * * [simplify]: iters left: 1 (36 enodes) 1.329 * * [simplify]: Extracting #0: cost 1 inf + 0 1.329 * * [simplify]: Extracting #1: cost 7 inf + 0 1.329 * * [simplify]: Extracting #2: cost 15 inf + 0 1.329 * * [simplify]: Extracting #3: cost 11 inf + 165 1.329 * * [simplify]: Extracting #4: cost 6 inf + 671 1.329 * * [simplify]: Extracting #5: cost 1 inf + 1359 1.330 * * [simplify]: Extracting #6: cost 0 inf + 1460 1.330 * [simplify]: Simplified to (* (sin lambda1) (- (sin lambda2))) 1.330 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (- (sin lambda2))))))) R)) 1.330 * * * * [progress]: [ 2 / 73 ] simplifiying candidate # 1.330 * [simplify]: Simplifying (* (cos lambda1) (cos (- lambda2))) 1.330 * * [simplify]: iters left: 5 (6 enodes) 1.332 * * [simplify]: iters left: 4 (20 enodes) 1.334 * * [simplify]: Extracting #0: cost 1 inf + 0 1.334 * * [simplify]: Extracting #1: cost 4 inf + 0 1.334 * * [simplify]: Extracting #2: cost 9 inf + 0 1.334 * * [simplify]: Extracting #3: cost 5 inf + 165 1.334 * * [simplify]: Extracting #4: cost 0 inf + 652 1.334 * [simplify]: Simplified to (* (cos lambda1) (cos lambda2)) 1.334 * [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)) 1.334 * [simplify]: Simplifying (* (sin lambda1) (sin (- lambda2))) 1.335 * * [simplify]: iters left: 5 (6 enodes) 1.336 * * [simplify]: iters left: 4 (21 enodes) 1.338 * * [simplify]: iters left: 3 (27 enodes) 1.342 * * [simplify]: iters left: 2 (34 enodes) 1.346 * * [simplify]: iters left: 1 (36 enodes) 1.349 * * [simplify]: Extracting #0: cost 1 inf + 0 1.349 * * [simplify]: Extracting #1: cost 7 inf + 0 1.349 * * [simplify]: Extracting #2: cost 15 inf + 0 1.350 * * [simplify]: Extracting #3: cost 11 inf + 165 1.350 * * [simplify]: Extracting #4: cost 6 inf + 671 1.350 * * [simplify]: Extracting #5: cost 1 inf + 1359 1.350 * * [simplify]: Extracting #6: cost 0 inf + 1460 1.350 * [simplify]: Simplified to (* (sin lambda1) (- (sin lambda2))) 1.350 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (- (sin lambda2))))))) R)) 1.351 * * * * [progress]: [ 3 / 73 ] simplifiying candidate # 1.351 * [simplify]: Simplifying (* (cos lambda1) (cos lambda2)) 1.351 * * [simplify]: iters left: 3 (5 enodes) 1.352 * * [simplify]: iters left: 2 (16 enodes) 1.354 * * [simplify]: Extracting #0: cost 1 inf + 0 1.354 * * [simplify]: Extracting #1: cost 4 inf + 0 1.354 * * [simplify]: Extracting #2: cost 8 inf + 0 1.354 * * [simplify]: Extracting #3: cost 4 inf + 124 1.354 * * [simplify]: Extracting #4: cost 0 inf + 570 1.354 * [simplify]: Simplified to (* (cos lambda2) (cos lambda1)) 1.354 * [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)) 1.354 * [simplify]: Simplifying (* (sin lambda1) (sin lambda2)) 1.354 * * [simplify]: iters left: 3 (5 enodes) 1.355 * * [simplify]: iters left: 2 (16 enodes) 1.357 * * [simplify]: Extracting #0: cost 1 inf + 0 1.357 * * [simplify]: Extracting #1: cost 4 inf + 0 1.357 * * [simplify]: Extracting #2: cost 8 inf + 0 1.357 * * [simplify]: Extracting #3: cost 4 inf + 124 1.357 * * [simplify]: Extracting #4: cost 0 inf + 570 1.358 * [simplify]: Simplified to (* (sin lambda2) (sin lambda1)) 1.358 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R)) 1.358 * * * * [progress]: [ 4 / 73 ] simplifiying candidate # 1.358 * * * * [progress]: [ 5 / 73 ] simplifiying candidate # 1.358 * [simplify]: Simplifying (log (cos (- lambda1 lambda2))) 1.358 * * [simplify]: iters left: 4 (5 enodes) 1.359 * * [simplify]: iters left: 3 (17 enodes) 1.361 * * [simplify]: iters left: 2 (20 enodes) 1.364 * * [simplify]: Extracting #0: cost 1 inf + 0 1.364 * * [simplify]: Extracting #1: cost 3 inf + 0 1.364 * * [simplify]: Extracting #2: cost 5 inf + 0 1.364 * * [simplify]: Extracting #3: cost 9 inf + 0 1.364 * * [simplify]: Extracting #4: cost 7 inf + 43 1.364 * * [simplify]: Extracting #5: cost 0 inf + 716 1.364 * [simplify]: Simplified to (log (cos (- lambda1 lambda2))) 1.364 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (exp (log (cos (- lambda1 lambda2))))))) R)) 1.364 * * * * [progress]: [ 6 / 73 ] simplifiying candidate # 1.365 * [simplify]: Simplifying (exp (cos (- lambda1 lambda2))) 1.365 * * [simplify]: iters left: 4 (5 enodes) 1.366 * * [simplify]: iters left: 3 (17 enodes) 1.368 * * [simplify]: iters left: 2 (20 enodes) 1.370 * * [simplify]: Extracting #0: cost 1 inf + 0 1.370 * * [simplify]: Extracting #1: cost 3 inf + 0 1.370 * * [simplify]: Extracting #2: cost 5 inf + 0 1.370 * * [simplify]: Extracting #3: cost 9 inf + 0 1.370 * * [simplify]: Extracting #4: cost 7 inf + 43 1.371 * * [simplify]: Extracting #5: cost 0 inf + 716 1.371 * [simplify]: Simplified to (exp (cos (- lambda1 lambda2))) 1.371 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (log (exp (cos (- lambda1 lambda2))))))) R)) 1.371 * * * * [progress]: [ 7 / 73 ] simplifiying candidate # 1.371 * [simplify]: Simplifying (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) 1.371 * * [simplify]: iters left: 6 (6 enodes) 1.374 * * [simplify]: iters left: 5 (20 enodes) 1.377 * * [simplify]: iters left: 4 (23 enodes) 1.380 * * [simplify]: Extracting #0: cost 1 inf + 0 1.380 * * [simplify]: Extracting #1: cost 3 inf + 0 1.380 * * [simplify]: Extracting #2: cost 5 inf + 0 1.380 * * [simplify]: Extracting #3: cost 7 inf + 0 1.380 * * [simplify]: Extracting #4: cost 11 inf + 0 1.380 * * [simplify]: Extracting #5: cost 10 inf + 2 1.380 * * [simplify]: Extracting #6: cost 0 inf + 1180 1.380 * [simplify]: Simplified to (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) 1.381 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (* (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))))))) R)) 1.381 * [simplify]: Simplifying (cbrt (cos (- lambda1 lambda2))) 1.381 * * [simplify]: iters left: 4 (5 enodes) 1.382 * * [simplify]: iters left: 3 (17 enodes) 1.384 * * [simplify]: iters left: 2 (20 enodes) 1.386 * * [simplify]: Extracting #0: cost 1 inf + 0 1.386 * * [simplify]: Extracting #1: cost 3 inf + 0 1.387 * * [simplify]: Extracting #2: cost 5 inf + 0 1.387 * * [simplify]: Extracting #3: cost 9 inf + 0 1.387 * * [simplify]: Extracting #4: cost 7 inf + 43 1.387 * * [simplify]: Extracting #5: cost 0 inf + 736 1.387 * [simplify]: Simplified to (cbrt (cos (- lambda1 lambda2))) 1.387 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (* (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))))))) R)) 1.387 * * * * [progress]: [ 8 / 73 ] simplifiying candidate # 1.387 * [simplify]: Simplifying (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))) 1.387 * * [simplify]: iters left: 6 (6 enodes) 1.389 * * [simplify]: iters left: 5 (21 enodes) 1.391 * * [simplify]: iters left: 4 (26 enodes) 1.397 * * [simplify]: iters left: 3 (33 enodes) 1.403 * * [simplify]: iters left: 2 (47 enodes) 1.413 * * [simplify]: iters left: 1 (73 enodes) 1.427 * * [simplify]: Extracting #0: cost 1 inf + 0 1.427 * * [simplify]: Extracting #1: cost 9 inf + 0 1.427 * * [simplify]: Extracting #2: cost 18 inf + 1 1.427 * * [simplify]: Extracting #3: cost 23 inf + 3 1.427 * * [simplify]: Extracting #4: cost 22 inf + 6 1.427 * * [simplify]: Extracting #5: cost 13 inf + 973 1.428 * * [simplify]: Extracting #6: cost 0 inf + 5472 1.429 * [simplify]: Simplified to (* (cos (- lambda1 lambda2)) (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)))) 1.429 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cbrt (* (cos (- lambda1 lambda2)) (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)))))))) R)) 1.429 * * * * [progress]: [ 9 / 73 ] simplifiying candidate # 1.429 * [simplify]: Simplifying (sqrt (cos (- lambda1 lambda2))) 1.429 * * [simplify]: iters left: 4 (5 enodes) 1.430 * * [simplify]: iters left: 3 (17 enodes) 1.432 * * [simplify]: iters left: 2 (20 enodes) 1.435 * * [simplify]: Extracting #0: cost 1 inf + 0 1.435 * * [simplify]: Extracting #1: cost 3 inf + 0 1.435 * * [simplify]: Extracting #2: cost 5 inf + 0 1.435 * * [simplify]: Extracting #3: cost 9 inf + 0 1.435 * * [simplify]: Extracting #4: cost 7 inf + 43 1.435 * * [simplify]: Extracting #5: cost 0 inf + 656 1.435 * [simplify]: Simplified to (sqrt (cos (- lambda1 lambda2))) 1.435 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (* (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))))))) R)) 1.435 * [simplify]: Simplifying (sqrt (cos (- lambda1 lambda2))) 1.436 * * [simplify]: iters left: 4 (5 enodes) 1.436 * * [simplify]: iters left: 3 (17 enodes) 1.439 * * [simplify]: iters left: 2 (20 enodes) 1.441 * * [simplify]: Extracting #0: cost 1 inf + 0 1.441 * * [simplify]: Extracting #1: cost 3 inf + 0 1.441 * * [simplify]: Extracting #2: cost 5 inf + 0 1.441 * * [simplify]: Extracting #3: cost 9 inf + 0 1.441 * * [simplify]: Extracting #4: cost 7 inf + 43 1.441 * * [simplify]: Extracting #5: cost 0 inf + 656 1.442 * [simplify]: Simplified to (sqrt (cos (- lambda1 lambda2))) 1.442 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (* (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))))))) R)) 1.442 * * * * [progress]: [ 10 / 73 ] simplifiying candidate # 1.442 * * * * [progress]: [ 11 / 73 ] simplifiying candidate #real (real->posit16 (cos (- lambda1 lambda2))))))) R))> 1.442 * [simplify]: Simplifying (real->posit16 (cos (- lambda1 lambda2))) 1.442 * * [simplify]: iters left: 4 (5 enodes) 1.443 * * [simplify]: iters left: 3 (14 enodes) 1.445 * * [simplify]: iters left: 2 (17 enodes) 1.447 * * [simplify]: Extracting #0: cost 1 inf + 0 1.447 * * [simplify]: Extracting #1: cost 2 inf + 0 1.447 * * [simplify]: Extracting #2: cost 3 inf + 0 1.447 * * [simplify]: Extracting #3: cost 7 inf + 0 1.447 * * [simplify]: Extracting #4: cost 5 inf + 43 1.447 * * [simplify]: Extracting #5: cost 0 inf + 372 1.448 * [simplify]: Simplified to (real->posit16 (cos (- lambda1 lambda2))) 1.448 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (posit16->real (real->posit16 (cos (- lambda1 lambda2))))))) R)) 1.448 * * * * [progress]: [ 12 / 73 ] simplifiying candidate # 1.448 * [simplify]: Simplifying (/ PI 2) 1.448 * * [simplify]: iters left: 2 (3 enodes) 1.449 * * [simplify]: iters left: 1 (9 enodes) 1.451 * * [simplify]: Extracting #0: cost 1 inf + 0 1.451 * * [simplify]: Extracting #1: cost 4 inf + 0 1.451 * * [simplify]: Extracting #2: cost 2 inf + 2 1.451 * * [simplify]: Extracting #3: cost 0 inf + 86 1.451 * [simplify]: Simplified to (/ PI 2) 1.451 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R)) 1.451 * [simplify]: Simplifying (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 1.453 * * [simplify]: iters left: 6 (15 enodes) 1.459 * * [simplify]: iters left: 5 (53 enodes) 1.477 * * [simplify]: iters left: 4 (64 enodes) 1.494 * * [simplify]: iters left: 3 (69 enodes) 1.512 * * [simplify]: Extracting #0: cost 1 inf + 0 1.512 * * [simplify]: Extracting #1: cost 3 inf + 0 1.512 * * [simplify]: Extracting #2: cost 6 inf + 0 1.512 * * [simplify]: Extracting #3: cost 16 inf + 0 1.512 * * [simplify]: Extracting #4: cost 27 inf + 0 1.512 * * [simplify]: Extracting #5: cost 23 inf + 368 1.512 * * [simplify]: Extracting #6: cost 16 inf + 1140 1.513 * * [simplify]: Extracting #7: cost 6 inf + 2987 1.515 * * [simplify]: Extracting #8: cost 0 inf + 5156 1.516 * [simplify]: Simplified to (asin (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) 1.516 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) R)) 1.516 * * * * [progress]: [ 13 / 73 ] simplifiying candidate # 1.516 * * * * [progress]: [ 14 / 73 ] simplifiying candidate # 1.517 * [simplify]: Simplifying (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) 1.517 * * [simplify]: iters left: 6 (16 enodes) 1.524 * * [simplify]: iters left: 5 (56 enodes) 1.539 * * [simplify]: iters left: 4 (67 enodes) 1.557 * * [simplify]: iters left: 3 (73 enodes) 1.576 * * [simplify]: Extracting #0: cost 1 inf + 0 1.577 * * [simplify]: Extracting #1: cost 3 inf + 0 1.577 * * [simplify]: Extracting #2: cost 5 inf + 0 1.577 * * [simplify]: Extracting #3: cost 8 inf + 0 1.577 * * [simplify]: Extracting #4: cost 18 inf + 0 1.577 * * [simplify]: Extracting #5: cost 29 inf + 0 1.577 * * [simplify]: Extracting #6: cost 26 inf + 307 1.577 * * [simplify]: Extracting #7: cost 20 inf + 816 1.578 * * [simplify]: Extracting #8: cost 8 inf + 2825 1.580 * * [simplify]: Extracting #9: cost 1 inf + 5790 1.582 * * [simplify]: Extracting #10: cost 0 inf + 6454 1.583 * [simplify]: Simplified to (log (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 1.583 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) R)) 1.584 * * * * [progress]: [ 15 / 73 ] simplifiying candidate # 1.584 * [simplify]: Simplifying (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) 1.584 * * [simplify]: iters left: 6 (16 enodes) 1.591 * * [simplify]: iters left: 5 (56 enodes) 1.606 * * [simplify]: iters left: 4 (67 enodes) 1.625 * * [simplify]: iters left: 3 (73 enodes) 1.645 * * [simplify]: Extracting #0: cost 1 inf + 0 1.645 * * [simplify]: Extracting #1: cost 3 inf + 0 1.645 * * [simplify]: Extracting #2: cost 5 inf + 0 1.645 * * [simplify]: Extracting #3: cost 8 inf + 0 1.645 * * [simplify]: Extracting #4: cost 18 inf + 0 1.645 * * [simplify]: Extracting #5: cost 29 inf + 0 1.645 * * [simplify]: Extracting #6: cost 26 inf + 307 1.646 * * [simplify]: Extracting #7: cost 20 inf + 816 1.646 * * [simplify]: Extracting #8: cost 8 inf + 2825 1.648 * * [simplify]: Extracting #9: cost 1 inf + 5790 1.650 * * [simplify]: Extracting #10: cost 0 inf + 6454 1.651 * [simplify]: Simplified to (exp (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 1.651 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) R)) 1.651 * * * * [progress]: [ 16 / 73 ] simplifiying candidate # 1.652 * [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))))))) 1.652 * * [simplify]: iters left: 6 (17 enodes) 1.659 * * [simplify]: iters left: 5 (59 enodes) 1.675 * * [simplify]: iters left: 4 (70 enodes) 1.694 * * [simplify]: iters left: 3 (76 enodes) 1.713 * * [simplify]: Extracting #0: cost 1 inf + 0 1.713 * * [simplify]: Extracting #1: cost 3 inf + 0 1.713 * * [simplify]: Extracting #2: cost 5 inf + 0 1.713 * * [simplify]: Extracting #3: cost 7 inf + 0 1.713 * * [simplify]: Extracting #4: cost 10 inf + 0 1.713 * * [simplify]: Extracting #5: cost 20 inf + 0 1.714 * * [simplify]: Extracting #6: cost 31 inf + 0 1.714 * * [simplify]: Extracting #7: cost 27 inf + 368 1.714 * * [simplify]: Extracting #8: cost 21 inf + 978 1.715 * * [simplify]: Extracting #9: cost 10 inf + 2724 1.717 * * [simplify]: Extracting #10: cost 0 inf + 7902 1.719 * [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)))))) 1.719 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (cbrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R)) 1.719 * [simplify]: Simplifying (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) 1.719 * * [simplify]: iters left: 6 (16 enodes) 1.726 * * [simplify]: iters left: 5 (56 enodes) 1.742 * * [simplify]: iters left: 4 (67 enodes) 1.762 * * [simplify]: iters left: 3 (73 enodes) 1.780 * * [simplify]: Extracting #0: cost 1 inf + 0 1.780 * * [simplify]: Extracting #1: cost 3 inf + 0 1.780 * * [simplify]: Extracting #2: cost 5 inf + 0 1.780 * * [simplify]: Extracting #3: cost 8 inf + 0 1.780 * * [simplify]: Extracting #4: cost 18 inf + 0 1.780 * * [simplify]: Extracting #5: cost 29 inf + 0 1.780 * * [simplify]: Extracting #6: cost 26 inf + 307 1.780 * * [simplify]: Extracting #7: cost 20 inf + 816 1.780 * * [simplify]: Extracting #8: cost 8 inf + 2825 1.781 * * [simplify]: Extracting #9: cost 1 inf + 5800 1.782 * * [simplify]: Extracting #10: cost 0 inf + 6474 1.783 * [simplify]: Simplified to (cbrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 1.783 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) R)) 1.783 * * * * [progress]: [ 17 / 73 ] simplifiying candidate # 1.783 * [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)))))) 1.783 * * [simplify]: iters left: 6 (17 enodes) 1.787 * * [simplify]: iters left: 5 (60 enodes) 1.795 * * [simplify]: iters left: 4 (73 enodes) 1.807 * * [simplify]: iters left: 3 (85 enodes) 1.831 * * [simplify]: iters left: 2 (99 enodes) 1.862 * * [simplify]: iters left: 1 (125 enodes) 1.889 * * [simplify]: Extracting #0: cost 1 inf + 0 1.889 * * [simplify]: Extracting #1: cost 9 inf + 0 1.889 * * [simplify]: Extracting #2: cost 18 inf + 1 1.889 * * [simplify]: Extracting #3: cost 22 inf + 3 1.890 * * [simplify]: Extracting #4: cost 32 inf + 4 1.890 * * [simplify]: Extracting #5: cost 42 inf + 5 1.890 * * [simplify]: Extracting #6: cost 41 inf + 190 1.890 * * [simplify]: Extracting #7: cost 32 inf + 983 1.890 * * [simplify]: Extracting #8: cost 25 inf + 1616 1.892 * * [simplify]: Extracting #9: cost 13 inf + 7041 1.893 * * [simplify]: Extracting #10: cost 1 inf + 16550 1.896 * * [simplify]: Extracting #11: cost 0 inf + 17606 1.898 * [simplify]: Simplified to (* (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 1.898 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) R)) 1.898 * * * * [progress]: [ 18 / 73 ] simplifiying candidate # 1.898 * [simplify]: Simplifying (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) 1.898 * * [simplify]: iters left: 6 (16 enodes) 1.904 * * [simplify]: iters left: 5 (56 enodes) 1.919 * * [simplify]: iters left: 4 (67 enodes) 1.937 * * [simplify]: iters left: 3 (73 enodes) 1.956 * * [simplify]: Extracting #0: cost 1 inf + 0 1.956 * * [simplify]: Extracting #1: cost 3 inf + 0 1.956 * * [simplify]: Extracting #2: cost 5 inf + 0 1.956 * * [simplify]: Extracting #3: cost 8 inf + 0 1.956 * * [simplify]: Extracting #4: cost 18 inf + 0 1.956 * * [simplify]: Extracting #5: cost 29 inf + 0 1.956 * * [simplify]: Extracting #6: cost 26 inf + 307 1.957 * * [simplify]: Extracting #7: cost 20 inf + 816 1.957 * * [simplify]: Extracting #8: cost 8 inf + 2825 1.959 * * [simplify]: Extracting #9: cost 1 inf + 5760 1.960 * * [simplify]: Extracting #10: cost 0 inf + 6394 1.961 * [simplify]: Simplified to (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 1.961 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R)) 1.961 * [simplify]: Simplifying (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) 1.961 * * [simplify]: iters left: 6 (16 enodes) 1.964 * * [simplify]: iters left: 5 (56 enodes) 1.971 * * [simplify]: iters left: 4 (67 enodes) 1.982 * * [simplify]: iters left: 3 (73 enodes) 1.992 * * [simplify]: Extracting #0: cost 1 inf + 0 1.992 * * [simplify]: Extracting #1: cost 3 inf + 0 1.993 * * [simplify]: Extracting #2: cost 5 inf + 0 1.993 * * [simplify]: Extracting #3: cost 8 inf + 0 1.993 * * [simplify]: Extracting #4: cost 18 inf + 0 1.993 * * [simplify]: Extracting #5: cost 29 inf + 0 1.993 * * [simplify]: Extracting #6: cost 26 inf + 307 1.993 * * [simplify]: Extracting #7: cost 20 inf + 816 1.993 * * [simplify]: Extracting #8: cost 8 inf + 2825 1.994 * * [simplify]: Extracting #9: cost 1 inf + 5760 1.995 * * [simplify]: Extracting #10: cost 0 inf + 6394 1.996 * [simplify]: Simplified to (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 1.996 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) R)) 1.996 * * * * [progress]: [ 19 / 73 ] simplifiying candidate # 1.996 * * * * [progress]: [ 20 / 73 ] simplifiying candidate #real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))> 1.996 * [simplify]: Simplifying (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) 1.996 * * [simplify]: iters left: 6 (16 enodes) 2.000 * * [simplify]: iters left: 5 (53 enodes) 2.013 * * [simplify]: iters left: 4 (64 enodes) 2.021 * * [simplify]: iters left: 3 (69 enodes) 2.030 * * [simplify]: Extracting #0: cost 1 inf + 0 2.030 * * [simplify]: Extracting #1: cost 2 inf + 0 2.030 * * [simplify]: Extracting #2: cost 3 inf + 0 2.030 * * [simplify]: Extracting #3: cost 6 inf + 0 2.030 * * [simplify]: Extracting #4: cost 16 inf + 0 2.030 * * [simplify]: Extracting #5: cost 27 inf + 0 2.030 * * [simplify]: Extracting #6: cost 23 inf + 368 2.030 * * [simplify]: Extracting #7: cost 17 inf + 978 2.031 * * [simplify]: Extracting #8: cost 7 inf + 2521 2.031 * * [simplify]: Extracting #9: cost 0 inf + 5126 2.032 * [simplify]: Simplified to (real->posit16 (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 2.032 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (posit16->real (real->posit16 (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) R)) 2.032 * * * * [progress]: [ 21 / 73 ] simplifiying candidate # 2.032 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 2.033 * * [simplify]: iters left: 6 (17 enodes) 2.036 * * [simplify]: iters left: 5 (60 enodes) 2.044 * * [simplify]: iters left: 4 (71 enodes) 2.061 * * [simplify]: iters left: 3 (76 enodes) 2.072 * * [simplify]: Extracting #0: cost 1 inf + 0 2.072 * * [simplify]: Extracting #1: cost 4 inf + 0 2.072 * * [simplify]: Extracting #2: cost 5 inf + 1 2.072 * * [simplify]: Extracting #3: cost 8 inf + 1 2.072 * * [simplify]: Extracting #4: cost 18 inf + 1 2.072 * * [simplify]: Extracting #5: cost 29 inf + 1 2.072 * * [simplify]: Extracting #6: cost 25 inf + 369 2.072 * * [simplify]: Extracting #7: cost 19 inf + 979 2.073 * * [simplify]: Extracting #8: cost 9 inf + 2522 2.073 * * [simplify]: Extracting #9: cost 0 inf + 6397 2.074 * [simplify]: Simplified to (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 2.074 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (pow (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 1)) 2.075 * * * * [progress]: [ 22 / 73 ] simplifiying candidate # 2.075 * * * * [progress]: [ 23 / 73 ] simplifiying candidate # 2.075 * [simplify]: Simplifying (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log R)) 2.075 * * [simplify]: iters left: 6 (19 enodes) 2.079 * * [simplify]: iters left: 5 (66 enodes) 2.092 * * [simplify]: iters left: 4 (77 enodes) 2.112 * * [simplify]: iters left: 3 (82 enodes) 2.132 * * [simplify]: Extracting #0: cost 1 inf + 0 2.132 * * [simplify]: Extracting #1: cost 4 inf + 0 2.132 * * [simplify]: Extracting #2: cost 8 inf + 0 2.133 * * [simplify]: Extracting #3: cost 9 inf + 1 2.133 * * [simplify]: Extracting #4: cost 10 inf + 143 2.133 * * [simplify]: Extracting #5: cost 20 inf + 143 2.133 * * [simplify]: Extracting #6: cost 31 inf + 143 2.133 * * [simplify]: Extracting #7: cost 26 inf + 572 2.134 * * [simplify]: Extracting #8: cost 22 inf + 959 2.134 * * [simplify]: Extracting #9: cost 12 inf + 2825 2.136 * * [simplify]: Extracting #10: cost 3 inf + 5933 2.138 * * [simplify]: Extracting #11: cost 0 inf + 8147 2.140 * [simplify]: Simplified to (+ (log R) (log (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) 2.140 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log R) (log (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))))) 2.140 * * * * [progress]: [ 24 / 73 ] simplifiying candidate # 2.141 * [simplify]: Simplifying (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 2.141 * * [simplify]: iters left: 6 (18 enodes) 2.148 * * [simplify]: iters left: 5 (66 enodes) 2.167 * * [simplify]: iters left: 4 (82 enodes) 2.189 * * [simplify]: iters left: 3 (87 enodes) 2.201 * * [simplify]: Extracting #0: cost 1 inf + 0 2.202 * * [simplify]: Extracting #1: cost 5 inf + 0 2.202 * * [simplify]: Extracting #2: cost 10 inf + 0 2.202 * * [simplify]: Extracting #3: cost 11 inf + 1 2.202 * * [simplify]: Extracting #4: cost 12 inf + 143 2.202 * * [simplify]: Extracting #5: cost 22 inf + 143 2.202 * * [simplify]: Extracting #6: cost 33 inf + 143 2.202 * * [simplify]: Extracting #7: cost 27 inf + 633 2.202 * * [simplify]: Extracting #8: cost 23 inf + 1121 2.203 * * [simplify]: Extracting #9: cost 13 inf + 2765 2.204 * * [simplify]: Extracting #10: cost 1 inf + 8782 2.205 * * [simplify]: Extracting #11: cost 0 inf + 9277 2.206 * [simplify]: Simplified to (log (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) 2.206 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))))) 2.206 * * * * [progress]: [ 25 / 73 ] simplifiying candidate # 2.207 * [simplify]: Simplifying (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 2.207 * * [simplify]: iters left: 6 (18 enodes) 2.210 * * [simplify]: iters left: 5 (65 enodes) 2.219 * * [simplify]: iters left: 4 (84 enodes) 2.239 * * [simplify]: iters left: 3 (103 enodes) 2.268 * * [simplify]: iters left: 2 (130 enodes) 2.302 * * [simplify]: iters left: 1 (195 enodes) 2.336 * * [simplify]: Extracting #0: cost 1 inf + 0 2.336 * * [simplify]: Extracting #1: cost 21 inf + 0 2.336 * * [simplify]: Extracting #2: cost 69 inf + 2 2.336 * * [simplify]: Extracting #3: cost 84 inf + 244 2.337 * * [simplify]: Extracting #4: cost 81 inf + 1186 2.338 * * [simplify]: Extracting #5: cost 82 inf + 2129 2.338 * * [simplify]: Extracting #6: cost 78 inf + 2538 2.339 * * [simplify]: Extracting #7: cost 71 inf + 3108 2.341 * * [simplify]: Extracting #8: cost 36 inf + 23143 2.348 * * [simplify]: Extracting #9: cost 4 inf + 56335 2.357 * * [simplify]: Extracting #10: cost 0 inf + 61430 2.366 * [simplify]: Simplified to (exp (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) 2.366 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (log (exp (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))))) 2.366 * * * * [progress]: [ 26 / 73 ] simplifiying candidate # 2.366 * [simplify]: Simplifying (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* R R) R)) 2.366 * * [simplify]: iters left: 6 (21 enodes) 2.371 * * [simplify]: iters left: 5 (78 enodes) 2.385 * * [simplify]: iters left: 4 (118 enodes) 2.419 * * [simplify]: iters left: 3 (178 enodes) 2.463 * * [simplify]: iters left: 2 (278 enodes) 2.541 * * [simplify]: iters left: 1 (467 enodes) 2.734 * * [simplify]: Extracting #0: cost 1 inf + 0 2.735 * * [simplify]: Extracting #1: cost 58 inf + 0 2.736 * * [simplify]: Extracting #2: cost 161 inf + 2 2.737 * * [simplify]: Extracting #3: cost 156 inf + 935 2.739 * * [simplify]: Extracting #4: cost 156 inf + 3717 2.741 * * [simplify]: Extracting #5: cost 167 inf + 3586 2.743 * * [simplify]: Extracting #6: cost 160 inf + 4440 2.749 * * [simplify]: Extracting #7: cost 133 inf + 20308 2.766 * * [simplify]: Extracting #8: cost 44 inf + 99031 2.804 * * [simplify]: Extracting #9: cost 0 inf + 146134 2.852 * [simplify]: Simplified to (* (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) R) (* (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) R) (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) R))) 2.852 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) R) (* (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) R) (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) R))))) 2.852 * * * * [progress]: [ 27 / 73 ] simplifiying candidate # 2.853 * [simplify]: Simplifying (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) 2.853 * * [simplify]: iters left: 6 (19 enodes) 2.857 * * [simplify]: iters left: 5 (66 enodes) 2.865 * * [simplify]: iters left: 4 (77 enodes) 2.881 * * [simplify]: iters left: 3 (82 enodes) 2.901 * * [simplify]: Extracting #0: cost 1 inf + 0 2.902 * * [simplify]: Extracting #1: cost 3 inf + 0 2.902 * * [simplify]: Extracting #2: cost 5 inf + 0 2.902 * * [simplify]: Extracting #3: cost 8 inf + 0 2.902 * * [simplify]: Extracting #4: cost 9 inf + 1 2.902 * * [simplify]: Extracting #5: cost 12 inf + 1 2.902 * * [simplify]: Extracting #6: cost 22 inf + 1 2.902 * * [simplify]: Extracting #7: cost 33 inf + 1 2.902 * * [simplify]: Extracting #8: cost 28 inf + 430 2.903 * * [simplify]: Extracting #9: cost 24 inf + 817 2.903 * * [simplify]: Extracting #10: cost 14 inf + 2683 2.905 * * [simplify]: Extracting #11: cost 4 inf + 6397 2.907 * * [simplify]: Extracting #12: cost 3 inf + 7112 2.909 * * [simplify]: Extracting #13: cost 0 inf + 9337 2.911 * [simplify]: Simplified to (* (cbrt (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) (cbrt (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))) 2.911 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) (cbrt (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)))) 2.912 * [simplify]: Simplifying (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 2.912 * * [simplify]: iters left: 6 (18 enodes) 2.919 * * [simplify]: iters left: 5 (63 enodes) 2.932 * * [simplify]: iters left: 4 (74 enodes) 2.941 * * [simplify]: iters left: 3 (80 enodes) 2.952 * * [simplify]: Extracting #0: cost 1 inf + 0 2.953 * * [simplify]: Extracting #1: cost 3 inf + 0 2.953 * * [simplify]: Extracting #2: cost 6 inf + 0 2.953 * * [simplify]: Extracting #3: cost 7 inf + 1 2.953 * * [simplify]: Extracting #4: cost 10 inf + 1 2.953 * * [simplify]: Extracting #5: cost 20 inf + 1 2.953 * * [simplify]: Extracting #6: cost 31 inf + 1 2.953 * * [simplify]: Extracting #7: cost 27 inf + 369 2.953 * * [simplify]: Extracting #8: cost 21 inf + 979 2.953 * * [simplify]: Extracting #9: cost 12 inf + 2420 2.954 * * [simplify]: Extracting #10: cost 4 inf + 5168 2.955 * * [simplify]: Extracting #11: cost 1 inf + 7112 2.956 * * [simplify]: Extracting #12: cost 0 inf + 7827 2.957 * [simplify]: Simplified to (cbrt (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) 2.957 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))))) 2.957 * * * * [progress]: [ 28 / 73 ] simplifiying candidate # 2.957 * [simplify]: Simplifying (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 2.958 * * [simplify]: iters left: 6 (19 enodes) 2.964 * * [simplify]: iters left: 5 (76 enodes) 2.987 * * [simplify]: iters left: 4 (127 enodes) 3.031 * * [simplify]: iters left: 3 (189 enodes) 3.079 * * [simplify]: iters left: 2 (223 enodes) 3.147 * * [simplify]: iters left: 1 (305 enodes) 3.225 * * [simplify]: Extracting #0: cost 1 inf + 0 3.225 * * [simplify]: Extracting #1: cost 38 inf + 0 3.226 * * [simplify]: Extracting #2: cost 97 inf + 43 3.226 * * [simplify]: Extracting #3: cost 95 inf + 249 3.226 * * [simplify]: Extracting #4: cost 100 inf + 1098 3.227 * * [simplify]: Extracting #5: cost 110 inf + 1310 3.228 * * [simplify]: Extracting #6: cost 102 inf + 2326 3.228 * * [simplify]: Extracting #7: cost 99 inf + 2450 3.229 * * [simplify]: Extracting #8: cost 95 inf + 2616 3.232 * * [simplify]: Extracting #9: cost 58 inf + 27043 3.248 * * [simplify]: Extracting #10: cost 7 inf + 72344 3.271 * * [simplify]: Extracting #11: cost 0 inf + 79772 3.296 * [simplify]: Simplified to (* (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (* (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))) 3.296 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (* (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))))) 3.297 * * * * [progress]: [ 29 / 73 ] simplifiying candidate # 3.297 * [simplify]: Simplifying (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 3.297 * * [simplify]: iters left: 6 (18 enodes) 3.305 * * [simplify]: iters left: 5 (63 enodes) 3.322 * * [simplify]: iters left: 4 (74 enodes) 3.342 * * [simplify]: iters left: 3 (80 enodes) 3.365 * * [simplify]: Extracting #0: cost 1 inf + 0 3.365 * * [simplify]: Extracting #1: cost 3 inf + 0 3.365 * * [simplify]: Extracting #2: cost 6 inf + 0 3.365 * * [simplify]: Extracting #3: cost 7 inf + 1 3.365 * * [simplify]: Extracting #4: cost 10 inf + 1 3.365 * * [simplify]: Extracting #5: cost 20 inf + 1 3.365 * * [simplify]: Extracting #6: cost 31 inf + 1 3.365 * * [simplify]: Extracting #7: cost 27 inf + 369 3.366 * * [simplify]: Extracting #8: cost 21 inf + 979 3.366 * * [simplify]: Extracting #9: cost 12 inf + 2420 3.368 * * [simplify]: Extracting #10: cost 4 inf + 5168 3.370 * * [simplify]: Extracting #11: cost 1 inf + 7072 3.372 * * [simplify]: Extracting #12: cost 0 inf + 7747 3.373 * [simplify]: Simplified to (sqrt (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) 3.374 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)))) 3.374 * [simplify]: Simplifying (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 3.374 * * [simplify]: iters left: 6 (18 enodes) 3.382 * * [simplify]: iters left: 5 (63 enodes) 3.398 * * [simplify]: iters left: 4 (74 enodes) 3.411 * * [simplify]: iters left: 3 (80 enodes) 3.421 * * [simplify]: Extracting #0: cost 1 inf + 0 3.421 * * [simplify]: Extracting #1: cost 3 inf + 0 3.421 * * [simplify]: Extracting #2: cost 6 inf + 0 3.421 * * [simplify]: Extracting #3: cost 7 inf + 1 3.421 * * [simplify]: Extracting #4: cost 10 inf + 1 3.421 * * [simplify]: Extracting #5: cost 20 inf + 1 3.421 * * [simplify]: Extracting #6: cost 31 inf + 1 3.421 * * [simplify]: Extracting #7: cost 27 inf + 369 3.421 * * [simplify]: Extracting #8: cost 21 inf + 979 3.422 * * [simplify]: Extracting #9: cost 12 inf + 2420 3.423 * * [simplify]: Extracting #10: cost 4 inf + 5168 3.424 * * [simplify]: Extracting #11: cost 1 inf + 7072 3.425 * * [simplify]: Extracting #12: cost 0 inf + 7747 3.426 * [simplify]: Simplified to (sqrt (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) 3.426 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))))) 3.426 * * * * [progress]: [ 30 / 73 ] simplifiying candidate # 3.426 * * * * [progress]: [ 31 / 73 ] simplifiying candidate # 3.426 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) 3.426 * * [simplify]: iters left: 6 (19 enodes) 3.431 * * [simplify]: iters left: 5 (66 enodes) 3.444 * * [simplify]: iters left: 4 (77 enodes) 3.465 * * [simplify]: iters left: 3 (82 enodes) 3.486 * * [simplify]: Extracting #0: cost 1 inf + 0 3.486 * * [simplify]: Extracting #1: cost 4 inf + 0 3.486 * * [simplify]: Extracting #2: cost 8 inf + 0 3.486 * * [simplify]: Extracting #3: cost 9 inf + 1 3.487 * * [simplify]: Extracting #4: cost 10 inf + 83 3.487 * * [simplify]: Extracting #5: cost 20 inf + 83 3.487 * * [simplify]: Extracting #6: cost 31 inf + 83 3.487 * * [simplify]: Extracting #7: cost 26 inf + 512 3.487 * * [simplify]: Extracting #8: cost 22 inf + 899 3.488 * * [simplify]: Extracting #9: cost 12 inf + 2765 3.490 * * [simplify]: Extracting #10: cost 3 inf + 5843 3.492 * * [simplify]: Extracting #11: cost 0 inf + 7907 3.493 * [simplify]: Simplified to (* (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (sqrt R)) 3.493 * [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)))) 3.493 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) 3.493 * * [simplify]: iters left: 6 (19 enodes) 3.497 * * [simplify]: iters left: 5 (66 enodes) 3.506 * * [simplify]: iters left: 4 (77 enodes) 3.516 * * [simplify]: iters left: 3 (82 enodes) 3.526 * * [simplify]: Extracting #0: cost 1 inf + 0 3.527 * * [simplify]: Extracting #1: cost 4 inf + 0 3.527 * * [simplify]: Extracting #2: cost 8 inf + 0 3.527 * * [simplify]: Extracting #3: cost 9 inf + 1 3.527 * * [simplify]: Extracting #4: cost 10 inf + 83 3.527 * * [simplify]: Extracting #5: cost 20 inf + 83 3.527 * * [simplify]: Extracting #6: cost 31 inf + 83 3.527 * * [simplify]: Extracting #7: cost 26 inf + 512 3.527 * * [simplify]: Extracting #8: cost 22 inf + 899 3.528 * * [simplify]: Extracting #9: cost 12 inf + 2765 3.529 * * [simplify]: Extracting #10: cost 3 inf + 5843 3.530 * * [simplify]: Extracting #11: cost 0 inf + 7907 3.531 * [simplify]: Simplified to (* (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (sqrt R)) 3.531 * [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)))) 3.531 * * * * [progress]: [ 32 / 73 ] simplifiying candidate # 3.531 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) 3.531 * * [simplify]: iters left: 6 (19 enodes) 3.535 * * [simplify]: iters left: 5 (68 enodes) 3.545 * * [simplify]: iters left: 4 (83 enodes) 3.556 * * [simplify]: iters left: 3 (88 enodes) 3.576 * * [simplify]: Extracting #0: cost 1 inf + 0 3.576 * * [simplify]: Extracting #1: cost 6 inf + 0 3.576 * * [simplify]: Extracting #2: cost 12 inf + 0 3.576 * * [simplify]: Extracting #3: cost 13 inf + 82 3.576 * * [simplify]: Extracting #4: cost 20 inf + 405 3.576 * * [simplify]: Extracting #5: cost 31 inf + 405 3.577 * * [simplify]: Extracting #6: cost 26 inf + 834 3.577 * * [simplify]: Extracting #7: cost 20 inf + 1545 3.578 * * [simplify]: Extracting #8: cost 16 inf + 1711 3.579 * * [simplify]: Extracting #9: cost 11 inf + 2926 3.580 * * [simplify]: Extracting #10: cost 2 inf + 7041 3.583 * * [simplify]: Extracting #11: cost 0 inf + 8471 3.585 * [simplify]: Simplified to (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) (* (cbrt R) (cbrt R))) 3.585 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) (* (cbrt R) (cbrt R))) (cbrt R))) 3.585 * * * * [progress]: [ 33 / 73 ] simplifiying candidate # 3.586 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) 3.586 * * [simplify]: iters left: 6 (18 enodes) 3.594 * * [simplify]: iters left: 5 (63 enodes) 3.611 * * [simplify]: iters left: 4 (74 enodes) 3.631 * * [simplify]: iters left: 3 (80 enodes) 3.647 * * [simplify]: Extracting #0: cost 1 inf + 0 3.647 * * [simplify]: Extracting #1: cost 4 inf + 0 3.647 * * [simplify]: Extracting #2: cost 8 inf + 0 3.647 * * [simplify]: Extracting #3: cost 9 inf + 42 3.647 * * [simplify]: Extracting #4: cost 18 inf + 83 3.647 * * [simplify]: Extracting #5: cost 29 inf + 83 3.648 * * [simplify]: Extracting #6: cost 25 inf + 451 3.648 * * [simplify]: Extracting #7: cost 19 inf + 1061 3.648 * * [simplify]: Extracting #8: cost 10 inf + 2502 3.649 * * [simplify]: Extracting #9: cost 2 inf + 5290 3.650 * * [simplify]: Extracting #10: cost 0 inf + 6559 3.651 * [simplify]: Simplified to (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) (sqrt R)) 3.651 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) (sqrt R)) (sqrt R))) 3.651 * * * * [progress]: [ 34 / 73 ] simplifiying candidate # 3.651 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 1) 3.651 * * [simplify]: iters left: 6 (17 enodes) 3.655 * * [simplify]: iters left: 5 (60 enodes) 3.664 * * [simplify]: iters left: 4 (75 enodes) 3.677 * * [simplify]: iters left: 3 (81 enodes) 3.698 * * [simplify]: Extracting #0: cost 1 inf + 0 3.698 * * [simplify]: Extracting #1: cost 4 inf + 0 3.698 * * [simplify]: Extracting #2: cost 6 inf + 1 3.698 * * [simplify]: Extracting #3: cost 16 inf + 1 3.698 * * [simplify]: Extracting #4: cost 27 inf + 1 3.698 * * [simplify]: Extracting #5: cost 23 inf + 369 3.699 * * [simplify]: Extracting #6: cost 15 inf + 1182 3.699 * * [simplify]: Extracting #7: cost 7 inf + 2522 3.701 * * [simplify]: Extracting #8: cost 0 inf + 5127 3.702 * [simplify]: Simplified to (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) 3.702 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) R)) 3.702 * * * * [progress]: [ 35 / 73 ] simplifiying candidate # 3.703 * [simplify]: Simplifying (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) 3.703 * * [simplify]: iters left: 6 (18 enodes) 3.710 * * [simplify]: iters left: 5 (63 enodes) 3.727 * * [simplify]: iters left: 4 (74 enodes) 3.747 * * [simplify]: iters left: 3 (80 enodes) 3.767 * * [simplify]: Extracting #0: cost 1 inf + 0 3.767 * * [simplify]: Extracting #1: cost 4 inf + 0 3.767 * * [simplify]: Extracting #2: cost 5 inf + 1 3.767 * * [simplify]: Extracting #3: cost 7 inf + 1 3.767 * * [simplify]: Extracting #4: cost 10 inf + 1 3.767 * * [simplify]: Extracting #5: cost 20 inf + 1 3.767 * * [simplify]: Extracting #6: cost 31 inf + 1 3.767 * * [simplify]: Extracting #7: cost 27 inf + 369 3.768 * * [simplify]: Extracting #8: cost 21 inf + 979 3.769 * * [simplify]: Extracting #9: cost 12 inf + 2420 3.770 * * [simplify]: Extracting #10: cost 2 inf + 6596 3.772 * * [simplify]: Extracting #11: cost 0 inf + 7905 3.774 * [simplify]: Simplified to (* (cbrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) R) 3.774 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (* (cbrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) R))) 3.774 * * * * [progress]: [ 36 / 73 ] simplifiying candidate # 3.775 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) 3.775 * * [simplify]: iters left: 6 (18 enodes) 3.782 * * [simplify]: iters left: 5 (63 enodes) 3.798 * * [simplify]: iters left: 4 (74 enodes) 3.820 * * [simplify]: iters left: 3 (80 enodes) 3.839 * * [simplify]: Extracting #0: cost 1 inf + 0 3.839 * * [simplify]: Extracting #1: cost 4 inf + 0 3.839 * * [simplify]: Extracting #2: cost 5 inf + 1 3.840 * * [simplify]: Extracting #3: cost 7 inf + 1 3.840 * * [simplify]: Extracting #4: cost 10 inf + 1 3.840 * * [simplify]: Extracting #5: cost 20 inf + 1 3.840 * * [simplify]: Extracting #6: cost 31 inf + 1 3.840 * * [simplify]: Extracting #7: cost 27 inf + 369 3.840 * * [simplify]: Extracting #8: cost 21 inf + 979 3.841 * * [simplify]: Extracting #9: cost 12 inf + 2420 3.843 * * [simplify]: Extracting #10: cost 2 inf + 6476 3.844 * * [simplify]: Extracting #11: cost 0 inf + 7745 3.845 * [simplify]: Simplified to (* (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) R) 3.845 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) R))) 3.845 * * * * [progress]: [ 37 / 73 ] simplifiying candidate # 3.845 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 3.845 * * [simplify]: iters left: 6 (17 enodes) 3.849 * * [simplify]: iters left: 5 (60 enodes) 3.857 * * [simplify]: iters left: 4 (71 enodes) 3.866 * * [simplify]: iters left: 3 (76 enodes) 3.879 * * [simplify]: Extracting #0: cost 1 inf + 0 3.879 * * [simplify]: Extracting #1: cost 4 inf + 0 3.879 * * [simplify]: Extracting #2: cost 5 inf + 1 3.879 * * [simplify]: Extracting #3: cost 8 inf + 1 3.880 * * [simplify]: Extracting #4: cost 18 inf + 1 3.880 * * [simplify]: Extracting #5: cost 29 inf + 1 3.880 * * [simplify]: Extracting #6: cost 25 inf + 369 3.880 * * [simplify]: Extracting #7: cost 19 inf + 979 3.881 * * [simplify]: Extracting #8: cost 9 inf + 2522 3.883 * * [simplify]: Extracting #9: cost 0 inf + 6397 3.884 * [simplify]: Simplified to (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 3.884 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))) 3.884 * * * * [progress]: [ 38 / 73 ] simplifiying candidate #real (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))> 3.885 * [simplify]: Simplifying (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 3.885 * * [simplify]: iters left: 6 (18 enodes) 3.890 * * [simplify]: iters left: 5 (60 enodes) 3.897 * * [simplify]: iters left: 4 (71 enodes) 3.907 * * [simplify]: iters left: 3 (76 enodes) 3.918 * * [simplify]: Extracting #0: cost 1 inf + 0 3.918 * * [simplify]: Extracting #1: cost 2 inf + 0 3.918 * * [simplify]: Extracting #2: cost 4 inf + 0 3.919 * * [simplify]: Extracting #3: cost 5 inf + 1 3.919 * * [simplify]: Extracting #4: cost 8 inf + 1 3.919 * * [simplify]: Extracting #5: cost 18 inf + 1 3.919 * * [simplify]: Extracting #6: cost 29 inf + 1 3.919 * * [simplify]: Extracting #7: cost 25 inf + 369 3.919 * * [simplify]: Extracting #8: cost 18 inf + 1141 3.920 * * [simplify]: Extracting #9: cost 8 inf + 2988 3.922 * * [simplify]: Extracting #10: cost 2 inf + 5559 3.923 * * [simplify]: Extracting #11: cost 0 inf + 6397 3.925 * [simplify]: Simplified to (real->posit16 (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) 3.925 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (posit16->real (real->posit16 (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))))) 3.925 * * * * [progress]: [ 39 / 73 ] simplifiying candidate # 3.925 * * * * [progress]: [ 40 / 73 ] simplifiying candidate # 3.926 * [simplify]: Simplifying (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) 3.926 * * [simplify]: iters left: 5 (10 enodes) 3.930 * * [simplify]: iters left: 4 (36 enodes) 3.940 * * [simplify]: iters left: 3 (47 enodes) 3.952 * * [simplify]: iters left: 2 (52 enodes) 3.965 * * [simplify]: Extracting #0: cost 1 inf + 0 3.965 * * [simplify]: Extracting #1: cost 8 inf + 0 3.965 * * [simplify]: Extracting #2: cost 17 inf + 0 3.965 * * [simplify]: Extracting #3: cost 18 inf + 63 3.965 * * [simplify]: Extracting #4: cost 14 inf + 228 3.966 * * [simplify]: Extracting #5: cost 7 inf + 900 3.967 * * [simplify]: Extracting #6: cost 0 inf + 2362 3.967 * [simplify]: Simplified to (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)) 3.967 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (pow (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)) 1))) R)) 3.968 * * * * [progress]: [ 41 / 73 ] simplifiying candidate # 3.968 * [simplify]: Simplifying (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) 3.968 * * [simplify]: iters left: 5 (10 enodes) 3.972 * * [simplify]: iters left: 4 (36 enodes) 3.982 * * [simplify]: iters left: 3 (47 enodes) 3.995 * * [simplify]: iters left: 2 (52 enodes) 4.007 * * [simplify]: Extracting #0: cost 1 inf + 0 4.008 * * [simplify]: Extracting #1: cost 8 inf + 0 4.008 * * [simplify]: Extracting #2: cost 17 inf + 0 4.008 * * [simplify]: Extracting #3: cost 18 inf + 63 4.008 * * [simplify]: Extracting #4: cost 14 inf + 228 4.008 * * [simplify]: Extracting #5: cost 7 inf + 900 4.009 * * [simplify]: Extracting #6: cost 0 inf + 2362 4.010 * [simplify]: Simplified to (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)) 4.010 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (pow (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)) 1))) R)) 4.010 * * * * [progress]: [ 42 / 73 ] simplifiying candidate # 4.010 * * * * [progress]: [ 43 / 73 ] simplifiying candidate # 4.010 * [simplify]: Simplifying (+ (+ (log (cos phi1)) (log (cos phi2))) (log (cos (- lambda1 lambda2)))) 4.011 * * [simplify]: iters left: 6 (13 enodes) 4.016 * * [simplify]: iters left: 5 (45 enodes) 4.027 * * [simplify]: iters left: 4 (56 enodes) 4.041 * * [simplify]: iters left: 3 (61 enodes) 4.057 * * [simplify]: Extracting #0: cost 1 inf + 0 4.058 * * [simplify]: Extracting #1: cost 8 inf + 0 4.058 * * [simplify]: Extracting #2: cost 17 inf + 0 4.058 * * [simplify]: Extracting #3: cost 23 inf + 0 4.058 * * [simplify]: Extracting #4: cost 25 inf + 2 4.058 * * [simplify]: Extracting #5: cost 20 inf + 299 4.059 * * [simplify]: Extracting #6: cost 4 inf + 2947 4.060 * * [simplify]: Extracting #7: cost 0 inf + 4490 4.060 * [simplify]: Simplified to (+ (+ (log (cos phi2)) (log (cos phi1))) (log (cos (- lambda1 lambda2)))) 4.060 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (exp (+ (+ (log (cos phi2)) (log (cos phi1))) (log (cos (- lambda1 lambda2))))))) R)) 4.060 * * * * [progress]: [ 44 / 73 ] simplifiying candidate # 4.060 * [simplify]: Simplifying (+ (log (* (cos phi1) (cos phi2))) (log (cos (- lambda1 lambda2)))) 4.061 * * [simplify]: iters left: 6 (12 enodes) 4.063 * * [simplify]: iters left: 5 (43 enodes) 4.069 * * [simplify]: iters left: 4 (55 enodes) 4.076 * * [simplify]: iters left: 3 (64 enodes) 4.084 * * [simplify]: Extracting #0: cost 1 inf + 0 4.084 * * [simplify]: Extracting #1: cost 8 inf + 0 4.084 * * [simplify]: Extracting #2: cost 18 inf + 0 4.084 * * [simplify]: Extracting #3: cost 25 inf + 0 4.084 * * [simplify]: Extracting #4: cost 23 inf + 316 4.084 * * [simplify]: Extracting #5: cost 13 inf + 1351 4.085 * * [simplify]: Extracting #6: cost 2 inf + 3747 4.085 * * [simplify]: Extracting #7: cost 0 inf + 4534 4.086 * [simplify]: Simplified to (+ (log (cos (- lambda1 lambda2))) (log (* (cos phi2) (cos phi1)))) 4.086 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (exp (+ (log (cos (- lambda1 lambda2))) (log (* (cos phi2) (cos phi1))))))) R)) 4.086 * * * * [progress]: [ 45 / 73 ] simplifiying candidate # 4.086 * [simplify]: Simplifying (log (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) 4.086 * * [simplify]: iters left: 6 (11 enodes) 4.090 * * [simplify]: iters left: 5 (42 enodes) 4.101 * * [simplify]: iters left: 4 (64 enodes) 4.109 * * [simplify]: iters left: 3 (82 enodes) 4.119 * * [simplify]: iters left: 2 (91 enodes) 4.129 * * [simplify]: Extracting #0: cost 1 inf + 0 4.129 * * [simplify]: Extracting #1: cost 9 inf + 0 4.129 * * [simplify]: Extracting #2: cost 22 inf + 0 4.130 * * [simplify]: Extracting #3: cost 31 inf + 0 4.130 * * [simplify]: Extracting #4: cost 28 inf + 447 4.130 * * [simplify]: Extracting #5: cost 20 inf + 1439 4.130 * * [simplify]: Extracting #6: cost 12 inf + 2476 4.131 * * [simplify]: Extracting #7: cost 1 inf + 5440 4.132 * * [simplify]: Extracting #8: cost 0 inf + 5534 4.134 * [simplify]: Simplified to (log (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2)))) 4.134 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (exp (log (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))))))) R)) 4.134 * * * * [progress]: [ 46 / 73 ] simplifiying candidate # 4.135 * [simplify]: Simplifying (exp (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) 4.135 * * [simplify]: iters left: 6 (11 enodes) 4.140 * * [simplify]: iters left: 5 (41 enodes) 4.151 * * [simplify]: iters left: 4 (65 enodes) 4.170 * * [simplify]: iters left: 3 (98 enodes) 4.198 * * [simplify]: iters left: 2 (161 enodes) 4.249 * * [simplify]: iters left: 1 (314 enodes) 4.332 * * [simplify]: Extracting #0: cost 1 inf + 0 4.332 * * [simplify]: Extracting #1: cost 49 inf + 0 4.332 * * [simplify]: Extracting #2: cost 161 inf + 1 4.333 * * [simplify]: Extracting #3: cost 228 inf + 818 4.335 * * [simplify]: Extracting #4: cost 162 inf + 19666 4.342 * * [simplify]: Extracting #5: cost 44 inf + 65821 4.352 * * [simplify]: Extracting #6: cost 10 inf + 86147 4.366 * * [simplify]: Extracting #7: cost 0 inf + 95740 4.386 * [simplify]: Simplified to (exp (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2)))) 4.387 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (log (exp (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))))))) R)) 4.387 * * * * [progress]: [ 47 / 73 ] simplifiying candidate # 4.387 * [simplify]: Simplifying (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2)))) 4.387 * * [simplify]: iters left: 6 (16 enodes) 4.394 * * [simplify]: iters left: 5 (63 enodes) 4.415 * * [simplify]: iters left: 4 (139 enodes) 4.481 * * [simplify]: iters left: 3 (395 enodes) 4.778 * * [simplify]: Extracting #0: cost 1 inf + 0 4.778 * * [simplify]: Extracting #1: cost 86 inf + 0 4.780 * * [simplify]: Extracting #2: cost 276 inf + 0 4.783 * * [simplify]: Extracting #3: cost 260 inf + 2677 4.788 * * [simplify]: Extracting #4: cost 220 inf + 14499 4.798 * * [simplify]: Extracting #5: cost 168 inf + 32651 4.837 * * [simplify]: Extracting #6: cost 22 inf + 93400 4.873 * * [simplify]: Extracting #7: cost 0 inf + 100557 4.898 * * [simplify]: Extracting #8: cost 0 inf + 99837 4.930 * [simplify]: Simplified to (* (* (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))) (* (cos phi2) (cos phi1))) (* (* (cos phi2) (cos phi1)) (* (cos phi2) (cos phi1)))) 4.930 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (cbrt (* (* (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))) (* (cos phi2) (cos phi1))) (* (* (cos phi2) (cos phi1)) (* (cos phi2) (cos phi1))))))) R)) 4.930 * * * * [progress]: [ 48 / 73 ] simplifiying candidate # 4.930 * [simplify]: Simplifying (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2)))) 4.930 * * [simplify]: iters left: 6 (14 enodes) 4.934 * * [simplify]: iters left: 5 (61 enodes) 4.946 * * [simplify]: iters left: 4 (146 enodes) 5.004 * * [simplify]: iters left: 3 (447 enodes) 5.751 * * [simplify]: Extracting #0: cost 1 inf + 0 5.752 * * [simplify]: Extracting #1: cost 79 inf + 0 5.754 * * [simplify]: Extracting #2: cost 211 inf + 1 5.757 * * [simplify]: Extracting #3: cost 198 inf + 2589 5.767 * * [simplify]: Extracting #4: cost 112 inf + 31465 5.798 * * [simplify]: Extracting #5: cost 12 inf + 68214 5.820 * * [simplify]: Extracting #6: cost 0 inf + 71959 5.860 * * [simplify]: Extracting #7: cost 0 inf + 71759 5.889 * * [simplify]: Extracting #8: cost 0 inf + 71719 5.915 * [simplify]: Simplified to (* (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)) (* (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)))) 5.915 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (cbrt (* (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)) (* (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))))))) R)) 5.916 * * * * [progress]: [ 49 / 73 ] simplifiying candidate # 5.916 * [simplify]: Simplifying (* (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 5.916 * * [simplify]: iters left: 6 (12 enodes) 5.921 * * [simplify]: iters left: 5 (42 enodes) 5.928 * * [simplify]: iters left: 4 (53 enodes) 5.934 * * [simplify]: iters left: 3 (58 enodes) 5.941 * * [simplify]: Extracting #0: cost 1 inf + 0 5.941 * * [simplify]: Extracting #1: cost 3 inf + 0 5.941 * * [simplify]: Extracting #2: cost 5 inf + 0 5.941 * * [simplify]: Extracting #3: cost 12 inf + 0 5.941 * * [simplify]: Extracting #4: cost 21 inf + 0 5.941 * * [simplify]: Extracting #5: cost 20 inf + 185 5.941 * * [simplify]: Extracting #6: cost 16 inf + 451 5.942 * * [simplify]: Extracting #7: cost 5 inf + 2260 5.942 * * [simplify]: Extracting #8: cost 1 inf + 3554 5.943 * * [simplify]: Extracting #9: cost 0 inf + 3978 5.944 * [simplify]: Simplified to (* (cbrt (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1)))) (cbrt (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1))))) 5.944 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cbrt (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1)))) (cbrt (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1))))) (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R)) 5.944 * [simplify]: Simplifying (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) 5.944 * * [simplify]: iters left: 6 (11 enodes) 5.946 * * [simplify]: iters left: 5 (39 enodes) 5.952 * * [simplify]: iters left: 4 (50 enodes) 5.965 * * [simplify]: iters left: 3 (55 enodes) 5.975 * * [simplify]: Extracting #0: cost 1 inf + 0 5.975 * * [simplify]: Extracting #1: cost 3 inf + 0 5.975 * * [simplify]: Extracting #2: cost 10 inf + 0 5.975 * * [simplify]: Extracting #3: cost 19 inf + 0 5.975 * * [simplify]: Extracting #4: cost 19 inf + 124 5.975 * * [simplify]: Extracting #5: cost 14 inf + 331 5.975 * * [simplify]: Extracting #6: cost 7 inf + 1246 5.976 * * [simplify]: Extracting #7: cost 0 inf + 3130 5.976 * [simplify]: Simplified to (cbrt (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2)))) 5.976 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (cbrt (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))))))) R)) 5.976 * * * * [progress]: [ 50 / 73 ] simplifiying candidate # 5.977 * [simplify]: Simplifying (* (* (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) 5.977 * * [simplify]: iters left: 6 (12 enodes) 5.979 * * [simplify]: iters left: 5 (52 enodes) 5.989 * * [simplify]: iters left: 4 (138 enodes) 6.052 * * [simplify]: Extracting #0: cost 1 inf + 0 6.052 * * [simplify]: Extracting #1: cost 41 inf + 0 6.053 * * [simplify]: Extracting #2: cost 141 inf + 1 6.053 * * [simplify]: Extracting #3: cost 138 inf + 1166 6.054 * * [simplify]: Extracting #4: cost 116 inf + 5049 6.059 * * [simplify]: Extracting #5: cost 35 inf + 31003 6.074 * * [simplify]: Extracting #6: cost 0 inf + 43676 6.092 * * [simplify]: Extracting #7: cost 0 inf + 43636 6.110 * [simplify]: Simplified to (* (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))) (* (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))))) 6.110 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (cbrt (* (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))) (* (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2)))))))) R)) 6.110 * * * * [progress]: [ 51 / 73 ] simplifiying candidate # 6.111 * [simplify]: Simplifying (sqrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) 6.111 * * [simplify]: iters left: 6 (11 enodes) 6.115 * * [simplify]: iters left: 5 (39 enodes) 6.123 * * [simplify]: iters left: 4 (50 enodes) 6.130 * * [simplify]: iters left: 3 (55 enodes) 6.136 * * [simplify]: Extracting #0: cost 1 inf + 0 6.136 * * [simplify]: Extracting #1: cost 3 inf + 0 6.136 * * [simplify]: Extracting #2: cost 10 inf + 0 6.137 * * [simplify]: Extracting #3: cost 19 inf + 0 6.137 * * [simplify]: Extracting #4: cost 19 inf + 124 6.137 * * [simplify]: Extracting #5: cost 14 inf + 331 6.137 * * [simplify]: Extracting #6: cost 7 inf + 1246 6.137 * * [simplify]: Extracting #7: cost 0 inf + 3050 6.138 * [simplify]: Simplified to (sqrt (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2)))) 6.138 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (sqrt (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2)))) (sqrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R)) 6.138 * [simplify]: Simplifying (sqrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) 6.138 * * [simplify]: iters left: 6 (11 enodes) 6.140 * * [simplify]: iters left: 5 (39 enodes) 6.146 * * [simplify]: iters left: 4 (50 enodes) 6.153 * * [simplify]: iters left: 3 (55 enodes) 6.166 * * [simplify]: Extracting #0: cost 1 inf + 0 6.166 * * [simplify]: Extracting #1: cost 3 inf + 0 6.167 * * [simplify]: Extracting #2: cost 10 inf + 0 6.167 * * [simplify]: Extracting #3: cost 19 inf + 0 6.167 * * [simplify]: Extracting #4: cost 19 inf + 124 6.167 * * [simplify]: Extracting #5: cost 14 inf + 331 6.167 * * [simplify]: Extracting #6: cost 7 inf + 1246 6.168 * * [simplify]: Extracting #7: cost 0 inf + 3050 6.169 * [simplify]: Simplified to (sqrt (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2)))) 6.169 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (sqrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (sqrt (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))))))) R)) 6.169 * * * * [progress]: [ 52 / 73 ] simplifiying candidate # 6.170 * * * * [progress]: [ 53 / 73 ] simplifiying candidate # 6.170 * [simplify]: Simplifying (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) 6.170 * * [simplify]: iters left: 5 (11 enodes) 6.175 * * [simplify]: iters left: 4 (40 enodes) 6.186 * * [simplify]: iters left: 3 (63 enodes) 6.207 * * [simplify]: iters left: 2 (101 enodes) 6.222 * * [simplify]: iters left: 1 (122 enodes) 6.238 * * [simplify]: Extracting #0: cost 1 inf + 0 6.238 * * [simplify]: Extracting #1: cost 16 inf + 0 6.238 * * [simplify]: Extracting #2: cost 34 inf + 0 6.238 * * [simplify]: Extracting #3: cost 27 inf + 187 6.239 * * [simplify]: Extracting #4: cost 8 inf + 3366 6.240 * * [simplify]: Extracting #5: cost 0 inf + 5268 6.241 * [simplify]: Simplified to (* (* (cos phi1) (* (cos lambda2) (cos phi2))) (cos lambda1)) 6.241 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (* (cos lambda2) (cos phi2))) (cos lambda1)) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) 6.241 * [simplify]: Simplifying (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) 6.241 * * [simplify]: iters left: 5 (11 enodes) 6.243 * * [simplify]: iters left: 4 (40 enodes) 6.249 * * [simplify]: iters left: 3 (63 enodes) 6.259 * * [simplify]: iters left: 2 (101 enodes) 6.279 * * [simplify]: iters left: 1 (122 enodes) 6.303 * * [simplify]: Extracting #0: cost 1 inf + 0 6.303 * * [simplify]: Extracting #1: cost 16 inf + 0 6.303 * * [simplify]: Extracting #2: cost 34 inf + 0 6.303 * * [simplify]: Extracting #3: cost 27 inf + 187 6.304 * * [simplify]: Extracting #4: cost 8 inf + 3366 6.305 * * [simplify]: Extracting #5: cost 0 inf + 5268 6.306 * [simplify]: Simplified to (* (* (cos phi1) (* (sin lambda2) (cos phi2))) (sin lambda1)) 6.306 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (* (sin lambda2) (cos phi2))) (sin lambda1))))) R)) 6.306 * * * * [progress]: [ 54 / 73 ] simplifiying candidate # 6.306 * [simplify]: Simplifying (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) 6.307 * * [simplify]: iters left: 5 (11 enodes) 6.309 * * [simplify]: iters left: 4 (40 enodes) 6.314 * * [simplify]: iters left: 3 (63 enodes) 6.324 * * [simplify]: iters left: 2 (101 enodes) 6.340 * * [simplify]: iters left: 1 (122 enodes) 6.369 * * [simplify]: Extracting #0: cost 1 inf + 0 6.369 * * [simplify]: Extracting #1: cost 16 inf + 0 6.370 * * [simplify]: Extracting #2: cost 34 inf + 0 6.370 * * [simplify]: Extracting #3: cost 27 inf + 187 6.371 * * [simplify]: Extracting #4: cost 8 inf + 3366 6.373 * * [simplify]: Extracting #5: cost 0 inf + 5268 6.375 * [simplify]: Simplified to (* (* (cos lambda1) (* (cos phi2) (cos lambda2))) (cos phi1)) 6.375 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (* (cos phi2) (cos lambda2))) (cos phi1)) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)) 6.375 * [simplify]: Simplifying (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) 6.375 * * [simplify]: iters left: 5 (11 enodes) 6.380 * * [simplify]: iters left: 4 (40 enodes) 6.388 * * [simplify]: iters left: 3 (63 enodes) 6.398 * * [simplify]: iters left: 2 (101 enodes) 6.412 * * [simplify]: iters left: 1 (122 enodes) 6.442 * * [simplify]: Extracting #0: cost 1 inf + 0 6.443 * * [simplify]: Extracting #1: cost 16 inf + 0 6.443 * * [simplify]: Extracting #2: cost 34 inf + 0 6.443 * * [simplify]: Extracting #3: cost 27 inf + 187 6.444 * * [simplify]: Extracting #4: cost 8 inf + 3366 6.445 * * [simplify]: Extracting #5: cost 0 inf + 5268 6.445 * [simplify]: Simplified to (* (* (sin lambda1) (* (cos phi2) (sin lambda2))) (cos phi1)) 6.446 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (* (cos phi2) (sin lambda2))) (cos phi1))))) R)) 6.446 * * * * [progress]: [ 55 / 73 ] simplifiying candidate # 6.446 * [simplify]: Simplifying (* (* (cos phi1) (cos phi2)) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2))))) 6.446 * * [simplify]: iters left: 6 (12 enodes) 6.448 * * [simplify]: iters left: 5 (44 enodes) 6.455 * * [simplify]: iters left: 4 (64 enodes) 6.464 * * [simplify]: iters left: 3 (83 enodes) 6.485 * * [simplify]: iters left: 2 (101 enodes) 6.511 * * [simplify]: Extracting #0: cost 1 inf + 0 6.511 * * [simplify]: Extracting #1: cost 12 inf + 0 6.511 * * [simplify]: Extracting #2: cost 25 inf + 0 6.511 * * [simplify]: Extracting #3: cost 22 inf + 185 6.511 * * [simplify]: Extracting #4: cost 23 inf + 570 6.512 * * [simplify]: Extracting #5: cost 21 inf + 613 6.512 * * [simplify]: Extracting #6: cost 15 inf + 1124 6.514 * * [simplify]: Extracting #7: cost 5 inf + 4255 6.515 * * [simplify]: Extracting #8: cost 0 inf + 5790 6.517 * [simplify]: Simplified to (* (cos phi1) (* (* (cos phi2) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))))) 6.517 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (* (* (cos phi2) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))))) (cbrt (cos (- lambda1 lambda2)))))) R)) 6.518 * * * * [progress]: [ 56 / 73 ] simplifiying candidate # 6.518 * [simplify]: Simplifying (* (* (cos phi1) (cos phi2)) (sqrt (cos (- lambda1 lambda2)))) 6.518 * * [simplify]: iters left: 6 (11 enodes) 6.523 * * [simplify]: iters left: 5 (39 enodes) 6.533 * * [simplify]: iters left: 4 (50 enodes) 6.546 * * [simplify]: iters left: 3 (56 enodes) 6.561 * * [simplify]: Extracting #0: cost 1 inf + 0 6.561 * * [simplify]: Extracting #1: cost 8 inf + 0 6.561 * * [simplify]: Extracting #2: cost 17 inf + 0 6.562 * * [simplify]: Extracting #3: cost 16 inf + 63 6.562 * * [simplify]: Extracting #4: cost 17 inf + 246 6.562 * * [simplify]: Extracting #5: cost 12 inf + 655 6.562 * * [simplify]: Extracting #6: cost 7 inf + 1084 6.563 * * [simplify]: Extracting #7: cost 0 inf + 2886 6.564 * [simplify]: Simplified to (* (* (cos phi2) (cos phi1)) (sqrt (cos (- lambda1 lambda2)))) 6.564 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (* (cos phi2) (cos phi1)) (sqrt (cos (- lambda1 lambda2)))) (sqrt (cos (- lambda1 lambda2)))))) R)) 6.564 * * * * [progress]: [ 57 / 73 ] simplifiying candidate # 6.565 * [simplify]: Simplifying (* (* (cos phi1) (cos phi2)) 1) 6.565 * * [simplify]: iters left: 5 (7 enodes) 6.569 * * [simplify]: iters left: 4 (25 enodes) 6.577 * * [simplify]: iters left: 3 (35 enodes) 6.586 * * [simplify]: Extracting #0: cost 1 inf + 0 6.586 * * [simplify]: Extracting #1: cost 5 inf + 0 6.586 * * [simplify]: Extracting #2: cost 8 inf + 1 6.586 * * [simplify]: Extracting #3: cost 4 inf + 125 6.586 * * [simplify]: Extracting #4: cost 1 inf + 409 6.586 * * [simplify]: Extracting #5: cost 0 inf + 571 6.586 * [simplify]: Simplified to (* (cos phi2) (cos phi1)) 6.586 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))))) R)) 6.586 * * * * [progress]: [ 58 / 73 ] simplifiying candidate # 6.587 * [simplify]: Simplifying (* (cos phi2) (cos (- lambda1 lambda2))) 6.587 * * [simplify]: iters left: 5 (7 enodes) 6.588 * * [simplify]: iters left: 4 (24 enodes) 6.591 * * [simplify]: iters left: 3 (27 enodes) 6.595 * * [simplify]: Extracting #0: cost 1 inf + 0 6.595 * * [simplify]: Extracting #1: cost 4 inf + 0 6.595 * * [simplify]: Extracting #2: cost 8 inf + 0 6.595 * * [simplify]: Extracting #3: cost 11 inf + 1 6.595 * * [simplify]: Extracting #4: cost 8 inf + 125 6.595 * * [simplify]: Extracting #5: cost 3 inf + 393 6.595 * * [simplify]: Extracting #6: cost 1 inf + 698 6.595 * * [simplify]: Extracting #7: cost 0 inf + 901 6.595 * [simplify]: Simplified to (* (cos (- lambda1 lambda2)) (cos phi2)) 6.595 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R)) 6.595 * * * * [progress]: [ 59 / 73 ] simplifiying candidate # 6.596 * [simplify]: Simplifying (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (cos (- lambda1 lambda2))) 6.596 * * [simplify]: iters left: 6 (12 enodes) 6.598 * * [simplify]: iters left: 5 (43 enodes) 6.604 * * [simplify]: iters left: 4 (57 enodes) 6.612 * * [simplify]: iters left: 3 (65 enodes) 6.623 * * [simplify]: Extracting #0: cost 1 inf + 0 6.623 * * [simplify]: Extracting #1: cost 6 inf + 0 6.623 * * [simplify]: Extracting #2: cost 13 inf + 0 6.623 * * [simplify]: Extracting #3: cost 21 inf + 0 6.624 * * [simplify]: Extracting #4: cost 22 inf + 127 6.624 * * [simplify]: Extracting #5: cost 18 inf + 374 6.624 * * [simplify]: Extracting #6: cost 9 inf + 1193 6.625 * * [simplify]: Extracting #7: cost 2 inf + 2632 6.626 * * [simplify]: Extracting #8: cost 0 inf + 3260 6.628 * [simplify]: Simplified to (* (cos (- lambda1 lambda2)) (+ (cos (+ phi2 phi1)) (cos (- phi1 phi2)))) 6.628 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (cos (- lambda1 lambda2)) (+ (cos (+ phi2 phi1)) (cos (- phi1 phi2)))) 2))) R)) 6.628 * * * * [progress]: [ 60 / 73 ] simplifiying candidate #real (real->posit16 (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))> 6.628 * [simplify]: Simplifying (real->posit16 (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) 6.628 * * [simplify]: iters left: 6 (11 enodes) 6.633 * * [simplify]: iters left: 5 (36 enodes) 6.642 * * [simplify]: iters left: 4 (47 enodes) 6.651 * * [simplify]: iters left: 3 (52 enodes) 6.657 * * [simplify]: Extracting #0: cost 1 inf + 0 6.658 * * [simplify]: Extracting #1: cost 2 inf + 0 6.658 * * [simplify]: Extracting #2: cost 8 inf + 0 6.658 * * [simplify]: Extracting #3: cost 17 inf + 0 6.658 * * [simplify]: Extracting #4: cost 18 inf + 63 6.658 * * [simplify]: Extracting #5: cost 10 inf + 636 6.658 * * [simplify]: Extracting #6: cost 1 inf + 2058 6.659 * * [simplify]: Extracting #7: cost 0 inf + 2362 6.660 * [simplify]: Simplified to (real->posit16 (* (* (cos (- lambda1 lambda2)) (cos phi1)) (cos phi2))) 6.660 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (posit16->real (real->posit16 (* (* (cos (- lambda1 lambda2)) (cos phi1)) (cos phi2)))))) R)) 6.661 * * * * [progress]: [ 61 / 73 ] simplifiying candidate # 6.661 * * * * [progress]: [ 62 / 73 ] simplifiying candidate # 6.661 * [simplify]: Simplifying (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) 6.661 * * [simplify]: iters left: 6 (10 enodes) 6.665 * * [simplify]: iters left: 5 (43 enodes) 6.672 * * [simplify]: iters left: 4 (68 enodes) 6.684 * * [simplify]: iters left: 3 (99 enodes) 6.708 * * [simplify]: iters left: 2 (121 enodes) 6.740 * * [simplify]: iters left: 1 (130 enodes) 6.774 * * [simplify]: Extracting #0: cost 1 inf + 0 6.774 * * [simplify]: Extracting #1: cost 15 inf + 0 6.774 * * [simplify]: Extracting #2: cost 30 inf + 2 6.775 * * [simplify]: Extracting #3: cost 30 inf + 130 6.776 * * [simplify]: Extracting #4: cost 12 inf + 1530 6.777 * * [simplify]: Extracting #5: cost 1 inf + 2680 6.779 * * [simplify]: Extracting #6: cost 0 inf + 2843 6.783 * [simplify]: Simplified to (+ (* (+ (* lambda1 -1/2) lambda2) lambda1) 1) 6.783 * [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)) 6.783 * * * * [progress]: [ 63 / 73 ] simplifiying candidate # 6.783 * [simplify]: Simplifying (cos (- lambda1 lambda2)) 6.783 * * [simplify]: iters left: 3 (4 enodes) 6.785 * * [simplify]: iters left: 2 (14 enodes) 6.789 * * [simplify]: iters left: 1 (17 enodes) 6.793 * * [simplify]: Extracting #0: cost 1 inf + 0 6.793 * * [simplify]: Extracting #1: cost 3 inf + 0 6.793 * * [simplify]: Extracting #2: cost 7 inf + 0 6.793 * * [simplify]: Extracting #3: cost 5 inf + 43 6.793 * * [simplify]: Extracting #4: cost 0 inf + 372 6.793 * [simplify]: Simplified to (cos (- lambda1 lambda2)) 6.794 * [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)) 6.794 * * * * [progress]: [ 64 / 73 ] simplifiying candidate # 6.794 * [simplify]: Simplifying (cos (- lambda1 lambda2)) 6.794 * * [simplify]: iters left: 3 (4 enodes) 6.796 * * [simplify]: iters left: 2 (14 enodes) 6.799 * * [simplify]: iters left: 1 (17 enodes) 6.804 * * [simplify]: Extracting #0: cost 1 inf + 0 6.804 * * [simplify]: Extracting #1: cost 3 inf + 0 6.804 * * [simplify]: Extracting #2: cost 7 inf + 0 6.804 * * [simplify]: Extracting #3: cost 5 inf + 43 6.804 * * [simplify]: Extracting #4: cost 0 inf + 372 6.805 * [simplify]: Simplified to (cos (- lambda1 lambda2)) 6.805 * [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)) 6.805 * * * * [progress]: [ 65 / 73 ] simplifiying candidate # 6.805 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 6.805 * * [simplify]: iters left: 6 (15 enodes) 6.811 * * [simplify]: iters left: 5 (53 enodes) 6.819 * * [simplify]: iters left: 4 (64 enodes) 6.827 * * [simplify]: iters left: 3 (69 enodes) 6.836 * * [simplify]: Extracting #0: cost 1 inf + 0 6.836 * * [simplify]: Extracting #1: cost 3 inf + 0 6.836 * * [simplify]: Extracting #2: cost 6 inf + 0 6.836 * * [simplify]: Extracting #3: cost 16 inf + 0 6.836 * * [simplify]: Extracting #4: cost 27 inf + 0 6.836 * * [simplify]: Extracting #5: cost 24 inf + 307 6.836 * * [simplify]: Extracting #6: cost 10 inf + 2175 6.837 * * [simplify]: Extracting #7: cost 0 inf + 5126 6.837 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 6.838 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 6.838 * * * * [progress]: [ 66 / 73 ] simplifiying candidate # 6.838 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 6.838 * * [simplify]: iters left: 6 (15 enodes) 6.841 * * [simplify]: iters left: 5 (53 enodes) 6.852 * * [simplify]: iters left: 4 (64 enodes) 6.862 * * [simplify]: iters left: 3 (69 enodes) 6.871 * * [simplify]: Extracting #0: cost 1 inf + 0 6.871 * * [simplify]: Extracting #1: cost 3 inf + 0 6.871 * * [simplify]: Extracting #2: cost 6 inf + 0 6.871 * * [simplify]: Extracting #3: cost 16 inf + 0 6.871 * * [simplify]: Extracting #4: cost 27 inf + 0 6.872 * * [simplify]: Extracting #5: cost 24 inf + 307 6.872 * * [simplify]: Extracting #6: cost 10 inf + 2175 6.872 * * [simplify]: Extracting #7: cost 0 inf + 5126 6.873 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 6.873 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 6.873 * * * * [progress]: [ 67 / 73 ] simplifiying candidate # 6.874 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 6.874 * * [simplify]: iters left: 6 (15 enodes) 6.878 * * [simplify]: iters left: 5 (53 enodes) 6.885 * * [simplify]: iters left: 4 (64 enodes) 6.900 * * [simplify]: iters left: 3 (69 enodes) 6.917 * * [simplify]: Extracting #0: cost 1 inf + 0 6.917 * * [simplify]: Extracting #1: cost 3 inf + 0 6.917 * * [simplify]: Extracting #2: cost 6 inf + 0 6.917 * * [simplify]: Extracting #3: cost 16 inf + 0 6.917 * * [simplify]: Extracting #4: cost 27 inf + 0 6.918 * * [simplify]: Extracting #5: cost 24 inf + 307 6.918 * * [simplify]: Extracting #6: cost 10 inf + 2175 6.920 * * [simplify]: Extracting #7: cost 0 inf + 5126 6.921 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 6.921 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 6.921 * * * * [progress]: [ 68 / 73 ] simplifiying candidate # 6.922 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 6.922 * * [simplify]: iters left: 6 (17 enodes) 6.926 * * [simplify]: iters left: 5 (60 enodes) 6.934 * * [simplify]: iters left: 4 (71 enodes) 6.943 * * [simplify]: iters left: 3 (76 enodes) 6.953 * * [simplify]: Extracting #0: cost 1 inf + 0 6.953 * * [simplify]: Extracting #1: cost 4 inf + 0 6.953 * * [simplify]: Extracting #2: cost 5 inf + 1 6.953 * * [simplify]: Extracting #3: cost 8 inf + 1 6.953 * * [simplify]: Extracting #4: cost 18 inf + 1 6.954 * * [simplify]: Extracting #5: cost 29 inf + 1 6.954 * * [simplify]: Extracting #6: cost 26 inf + 308 6.954 * * [simplify]: Extracting #7: cost 15 inf + 1931 6.956 * * [simplify]: Extracting #8: cost 2 inf + 5991 6.958 * * [simplify]: Extracting #9: cost 0 inf + 6397 6.959 * [simplify]: Simplified to (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) 6.959 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) 6.960 * * * * [progress]: [ 69 / 73 ] simplifiying candidate # 6.960 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 6.960 * * [simplify]: iters left: 6 (17 enodes) 6.967 * * [simplify]: iters left: 5 (60 enodes) 6.984 * * [simplify]: iters left: 4 (71 enodes) 7.003 * * [simplify]: iters left: 3 (76 enodes) 7.022 * * [simplify]: Extracting #0: cost 1 inf + 0 7.022 * * [simplify]: Extracting #1: cost 4 inf + 0 7.022 * * [simplify]: Extracting #2: cost 5 inf + 1 7.022 * * [simplify]: Extracting #3: cost 8 inf + 1 7.022 * * [simplify]: Extracting #4: cost 18 inf + 1 7.022 * * [simplify]: Extracting #5: cost 29 inf + 1 7.022 * * [simplify]: Extracting #6: cost 26 inf + 308 7.023 * * [simplify]: Extracting #7: cost 15 inf + 1931 7.025 * * [simplify]: Extracting #8: cost 2 inf + 5991 7.026 * * [simplify]: Extracting #9: cost 0 inf + 6397 7.028 * [simplify]: Simplified to (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) 7.028 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) 7.028 * * * * [progress]: [ 70 / 73 ] simplifiying candidate # 7.029 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 7.029 * * [simplify]: iters left: 6 (17 enodes) 7.036 * * [simplify]: iters left: 5 (60 enodes) 7.051 * * [simplify]: iters left: 4 (71 enodes) 7.070 * * [simplify]: iters left: 3 (76 enodes) 7.084 * * [simplify]: Extracting #0: cost 1 inf + 0 7.084 * * [simplify]: Extracting #1: cost 4 inf + 0 7.084 * * [simplify]: Extracting #2: cost 5 inf + 1 7.084 * * [simplify]: Extracting #3: cost 8 inf + 1 7.084 * * [simplify]: Extracting #4: cost 18 inf + 1 7.084 * * [simplify]: Extracting #5: cost 29 inf + 1 7.084 * * [simplify]: Extracting #6: cost 26 inf + 308 7.085 * * [simplify]: Extracting #7: cost 15 inf + 1931 7.086 * * [simplify]: Extracting #8: cost 2 inf + 5991 7.086 * * [simplify]: Extracting #9: cost 0 inf + 6397 7.087 * [simplify]: Simplified to (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) 7.087 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) 7.087 * * * * [progress]: [ 71 / 73 ] simplifiying candidate # 7.088 * [simplify]: Simplifying (- 1 (+ (* 1/2 (pow phi2 2)) (* 1/2 (pow phi1 2)))) 7.088 * * [simplify]: iters left: 6 (11 enodes) 7.092 * * [simplify]: iters left: 5 (51 enodes) 7.101 * * [simplify]: iters left: 4 (84 enodes) 7.122 * * [simplify]: iters left: 3 (144 enodes) 7.149 * * [simplify]: iters left: 2 (197 enodes) 7.195 * * [simplify]: iters left: 1 (241 enodes) 7.258 * * [simplify]: Extracting #0: cost 1 inf + 0 7.259 * * [simplify]: Extracting #1: cost 16 inf + 0 7.259 * * [simplify]: Extracting #2: cost 45 inf + 2 7.259 * * [simplify]: Extracting #3: cost 49 inf + 332 7.260 * * [simplify]: Extracting #4: cost 16 inf + 3195 7.261 * * [simplify]: Extracting #5: cost 1 inf + 5438 7.263 * * [simplify]: Extracting #6: cost 0 inf + 5561 7.265 * [simplify]: Simplified to (- (* -1/2 (+ (* phi1 phi1) (* phi2 phi2))) -1) 7.265 * [simplify]: Simplified (2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (- (* -1/2 (+ (* phi1 phi1) (* phi2 phi2))) -1))) R)) 7.265 * * * * [progress]: [ 72 / 73 ] simplifiying candidate # 7.265 * [simplify]: Simplifying (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 7.265 * * [simplify]: iters left: 6 (10 enodes) 7.267 * * [simplify]: iters left: 5 (36 enodes) 7.272 * * [simplify]: iters left: 4 (47 enodes) 7.278 * * [simplify]: iters left: 3 (52 enodes) 7.289 * * [simplify]: Extracting #0: cost 1 inf + 0 7.289 * * [simplify]: Extracting #1: cost 8 inf + 0 7.289 * * [simplify]: Extracting #2: cost 17 inf + 0 7.289 * * [simplify]: Extracting #3: cost 17 inf + 124 7.290 * * [simplify]: Extracting #4: cost 15 inf + 187 7.290 * * [simplify]: Extracting #5: cost 4 inf + 1550 7.291 * * [simplify]: Extracting #6: cost 0 inf + 2362 7.291 * [simplify]: Simplified to (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) 7.291 * [simplify]: Simplified (2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 7.292 * * * * [progress]: [ 73 / 73 ] simplifiying candidate # 7.292 * [simplify]: Simplifying (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 7.292 * * [simplify]: iters left: 6 (10 enodes) 7.294 * * [simplify]: iters left: 5 (36 enodes) 7.300 * * [simplify]: iters left: 4 (47 enodes) 7.306 * * [simplify]: iters left: 3 (52 enodes) 7.312 * * [simplify]: Extracting #0: cost 1 inf + 0 7.312 * * [simplify]: Extracting #1: cost 8 inf + 0 7.313 * * [simplify]: Extracting #2: cost 17 inf + 0 7.313 * * [simplify]: Extracting #3: cost 17 inf + 124 7.313 * * [simplify]: Extracting #4: cost 15 inf + 187 7.313 * * [simplify]: Extracting #5: cost 4 inf + 1550 7.313 * * [simplify]: Extracting #6: cost 0 inf + 2362 7.314 * [simplify]: Simplified to (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) 7.314 * [simplify]: Simplified (2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 7.314 * * * [progress]: adding candidates to table 8.579 * * [progress]: iteration 2 / 4 8.579 * * * [progress]: picking best candidate 8.690 * * * * [pick]: Picked # 8.690 * * * [progress]: localizing error 8.781 * * * [progress]: generating rewritten candidates 8.781 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 8.785 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2 1) 8.807 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 8.819 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2) 8.886 * * * [progress]: generating series expansions 8.886 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 8.888 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) 8.888 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 8.888 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 8.889 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) 8.889 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 8.889 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) 8.890 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 8.890 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) 8.890 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 8.891 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) 8.891 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 8.891 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) 8.891 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 8.892 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) 8.892 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 8.893 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) 8.893 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 8.893 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) 8.894 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) 8.894 * [taylor]: Taking taylor expansion of 0 in phi2 8.894 * [backup-simplify]: Simplify 0 into 0 8.894 * [taylor]: Taking taylor expansion of 0 in lambda1 8.894 * [backup-simplify]: Simplify 0 into 0 8.894 * [taylor]: Taking taylor expansion of 0 in lambda2 8.894 * [backup-simplify]: Simplify 0 into 0 8.894 * [backup-simplify]: Simplify 0 into 0 8.894 * [taylor]: Taking taylor expansion of 0 in lambda1 8.894 * [backup-simplify]: Simplify 0 into 0 8.894 * [taylor]: Taking taylor expansion of 0 in lambda2 8.894 * [backup-simplify]: Simplify 0 into 0 8.894 * [backup-simplify]: Simplify 0 into 0 8.894 * [taylor]: Taking taylor expansion of 0 in lambda2 8.894 * [backup-simplify]: Simplify 0 into 0 8.894 * [backup-simplify]: Simplify 0 into 0 8.894 * [backup-simplify]: Simplify 0 into 0 8.894 * [taylor]: Taking taylor expansion of 0 in phi2 8.894 * [backup-simplify]: Simplify 0 into 0 8.894 * [taylor]: Taking taylor expansion of 0 in lambda1 8.894 * [backup-simplify]: Simplify 0 into 0 8.894 * [taylor]: Taking taylor expansion of 0 in lambda2 8.894 * [backup-simplify]: Simplify 0 into 0 8.895 * [backup-simplify]: Simplify 0 into 0 8.895 * [taylor]: Taking taylor expansion of 0 in lambda1 8.895 * [backup-simplify]: Simplify 0 into 0 8.895 * [taylor]: Taking taylor expansion of 0 in lambda2 8.895 * [backup-simplify]: Simplify 0 into 0 8.895 * [backup-simplify]: Simplify 0 into 0 8.895 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) 8.896 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2))))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 8.896 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in (phi1 phi2 lambda1 lambda2) around 0 8.896 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda2 8.897 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 8.897 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda1 8.898 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 8.898 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi2 8.898 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 8.899 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi1 8.899 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 8.899 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi1 8.900 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 8.900 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi2 8.901 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 8.901 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda1 8.902 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 8.902 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda2 8.903 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 8.903 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 8.904 * [taylor]: Taking taylor expansion of 0 in phi2 8.904 * [backup-simplify]: Simplify 0 into 0 8.904 * [taylor]: Taking taylor expansion of 0 in lambda1 8.904 * [backup-simplify]: Simplify 0 into 0 8.904 * [taylor]: Taking taylor expansion of 0 in lambda2 8.904 * [backup-simplify]: Simplify 0 into 0 8.904 * [backup-simplify]: Simplify 0 into 0 8.904 * [taylor]: Taking taylor expansion of 0 in lambda1 8.904 * [backup-simplify]: Simplify 0 into 0 8.904 * [taylor]: Taking taylor expansion of 0 in lambda2 8.904 * [backup-simplify]: Simplify 0 into 0 8.904 * [backup-simplify]: Simplify 0 into 0 8.904 * [taylor]: Taking taylor expansion of 0 in lambda2 8.904 * [backup-simplify]: Simplify 0 into 0 8.904 * [backup-simplify]: Simplify 0 into 0 8.904 * [backup-simplify]: Simplify 0 into 0 8.904 * [taylor]: Taking taylor expansion of 0 in phi2 8.904 * [backup-simplify]: Simplify 0 into 0 8.904 * [taylor]: Taking taylor expansion of 0 in lambda1 8.904 * [backup-simplify]: Simplify 0 into 0 8.904 * [taylor]: Taking taylor expansion of 0 in lambda2 8.904 * [backup-simplify]: Simplify 0 into 0 8.904 * [backup-simplify]: Simplify 0 into 0 8.904 * [taylor]: Taking taylor expansion of 0 in lambda1 8.904 * [backup-simplify]: Simplify 0 into 0 8.904 * [taylor]: Taking taylor expansion of 0 in lambda2 8.904 * [backup-simplify]: Simplify 0 into 0 8.904 * [backup-simplify]: Simplify 0 into 0 8.905 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 8.906 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 8.906 * [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 8.906 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 8.907 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 8.907 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 8.908 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 8.908 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 8.909 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 8.909 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 8.909 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 8.909 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 8.910 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 8.910 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 8.911 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 8.911 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 8.912 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 8.912 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 8.913 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 8.914 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 8.914 * [taylor]: Taking taylor expansion of 0 in phi2 8.914 * [backup-simplify]: Simplify 0 into 0 8.914 * [taylor]: Taking taylor expansion of 0 in lambda1 8.914 * [backup-simplify]: Simplify 0 into 0 8.914 * [taylor]: Taking taylor expansion of 0 in lambda2 8.914 * [backup-simplify]: Simplify 0 into 0 8.914 * [backup-simplify]: Simplify 0 into 0 8.914 * [taylor]: Taking taylor expansion of 0 in lambda1 8.914 * [backup-simplify]: Simplify 0 into 0 8.914 * [taylor]: Taking taylor expansion of 0 in lambda2 8.914 * [backup-simplify]: Simplify 0 into 0 8.914 * [backup-simplify]: Simplify 0 into 0 8.914 * [taylor]: Taking taylor expansion of 0 in lambda2 8.914 * [backup-simplify]: Simplify 0 into 0 8.914 * [backup-simplify]: Simplify 0 into 0 8.914 * [backup-simplify]: Simplify 0 into 0 8.914 * [taylor]: Taking taylor expansion of 0 in phi2 8.914 * [backup-simplify]: Simplify 0 into 0 8.914 * [taylor]: Taking taylor expansion of 0 in lambda1 8.914 * [backup-simplify]: Simplify 0 into 0 8.914 * [taylor]: Taking taylor expansion of 0 in lambda2 8.914 * [backup-simplify]: Simplify 0 into 0 8.915 * [backup-simplify]: Simplify 0 into 0 8.915 * [taylor]: Taking taylor expansion of 0 in lambda1 8.915 * [backup-simplify]: Simplify 0 into 0 8.915 * [taylor]: Taking taylor expansion of 0 in lambda2 8.915 * [backup-simplify]: Simplify 0 into 0 8.915 * [backup-simplify]: Simplify 0 into 0 8.916 * [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))))) 8.916 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2 1) 8.916 * [backup-simplify]: Simplify (* (sin lambda1) (sin lambda2)) into (* (sin lambda1) (sin lambda2)) 8.916 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 8.916 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 8.916 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 8.916 * [taylor]: Taking taylor expansion of lambda1 in lambda2 8.916 * [backup-simplify]: Simplify lambda1 into lambda1 8.916 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 8.916 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 8.916 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 8.916 * [taylor]: Taking taylor expansion of lambda2 in lambda2 8.916 * [backup-simplify]: Simplify 0 into 0 8.916 * [backup-simplify]: Simplify 1 into 1 8.916 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 8.916 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 8.916 * [taylor]: Taking taylor expansion of lambda1 in lambda1 8.916 * [backup-simplify]: Simplify 0 into 0 8.916 * [backup-simplify]: Simplify 1 into 1 8.916 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 8.917 * [taylor]: Taking taylor expansion of lambda2 in lambda1 8.917 * [backup-simplify]: Simplify lambda2 into lambda2 8.917 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 8.917 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 8.917 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 8.917 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 8.917 * [taylor]: Taking taylor expansion of lambda1 in lambda1 8.917 * [backup-simplify]: Simplify 0 into 0 8.917 * [backup-simplify]: Simplify 1 into 1 8.917 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 8.917 * [taylor]: Taking taylor expansion of lambda2 in lambda1 8.917 * [backup-simplify]: Simplify lambda2 into lambda2 8.917 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 8.917 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 8.917 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 8.918 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 8.918 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 8.918 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0 8.918 * [taylor]: Taking taylor expansion of 0 in lambda2 8.918 * [backup-simplify]: Simplify 0 into 0 8.918 * [backup-simplify]: Simplify 0 into 0 8.919 * [backup-simplify]: Simplify (+ 0) into 0 8.919 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 8.920 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.921 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 8.921 * [backup-simplify]: Simplify (+ 0 0) into 0 8.922 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 8.922 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2) 8.923 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 8.923 * [taylor]: Taking taylor expansion of lambda2 in lambda2 8.923 * [backup-simplify]: Simplify 0 into 0 8.923 * [backup-simplify]: Simplify 1 into 1 8.923 * [backup-simplify]: Simplify 0 into 0 8.923 * [backup-simplify]: Simplify 0 into 0 8.924 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.924 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 8.925 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.926 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 8.926 * [backup-simplify]: Simplify (+ 0 0) into 0 8.927 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.928 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0 8.928 * [taylor]: Taking taylor expansion of 0 in lambda2 8.928 * [backup-simplify]: Simplify 0 into 0 8.928 * [backup-simplify]: Simplify 0 into 0 8.929 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 8.929 * [backup-simplify]: Simplify 1 into 1 8.929 * [backup-simplify]: Simplify 0 into 0 8.930 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.931 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.932 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.932 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.933 * [backup-simplify]: Simplify (+ 0 0) into 0 8.934 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 8.935 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda2))))) into (- (* 1/6 (sin lambda2))) 8.935 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 8.935 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 8.935 * [taylor]: Taking taylor expansion of 1/6 in lambda2 8.935 * [backup-simplify]: Simplify 1/6 into 1/6 8.935 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 8.935 * [taylor]: Taking taylor expansion of lambda2 in lambda2 8.935 * [backup-simplify]: Simplify 0 into 0 8.935 * [backup-simplify]: Simplify 1 into 1 8.935 * [backup-simplify]: Simplify (* 1/6 0) into 0 8.935 * [backup-simplify]: Simplify (- 0) into 0 8.935 * [backup-simplify]: Simplify 0 into 0 8.935 * [backup-simplify]: Simplify 0 into 0 8.936 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.936 * [backup-simplify]: Simplify 0 into 0 8.936 * [backup-simplify]: Simplify 0 into 0 8.937 * [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 8.938 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.939 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 8.939 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 8.939 * [backup-simplify]: Simplify (+ 0 0) into 0 8.940 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 8.941 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda2)))))) into 0 8.941 * [taylor]: Taking taylor expansion of 0 in lambda2 8.941 * [backup-simplify]: Simplify 0 into 0 8.941 * [backup-simplify]: Simplify 0 into 0 8.941 * [backup-simplify]: Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1) 8.941 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 8.941 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in (lambda1 lambda2) around 0 8.942 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 8.942 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 8.942 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 8.942 * [taylor]: Taking taylor expansion of lambda2 in lambda2 8.942 * [backup-simplify]: Simplify 0 into 0 8.942 * [backup-simplify]: Simplify 1 into 1 8.942 * [backup-simplify]: Simplify (/ 1 1) into 1 8.942 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 8.942 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 8.942 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 8.942 * [taylor]: Taking taylor expansion of lambda1 in lambda2 8.942 * [backup-simplify]: Simplify lambda1 into lambda1 8.942 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 8.942 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 8.942 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 8.942 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 8.942 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 8.942 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 8.942 * [taylor]: Taking taylor expansion of lambda2 in lambda1 8.942 * [backup-simplify]: Simplify lambda2 into lambda2 8.942 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 8.942 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 8.942 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 8.942 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 8.942 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 8.942 * [taylor]: Taking taylor expansion of lambda1 in lambda1 8.942 * [backup-simplify]: Simplify 0 into 0 8.942 * [backup-simplify]: Simplify 1 into 1 8.943 * [backup-simplify]: Simplify (/ 1 1) into 1 8.943 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 8.943 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 8.943 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 8.943 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 8.943 * [taylor]: Taking taylor expansion of lambda2 in lambda1 8.943 * [backup-simplify]: Simplify lambda2 into lambda2 8.943 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 8.943 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 8.943 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 8.943 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 8.943 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 8.943 * [taylor]: Taking taylor expansion of lambda1 in lambda1 8.943 * [backup-simplify]: Simplify 0 into 0 8.943 * [backup-simplify]: Simplify 1 into 1 8.943 * [backup-simplify]: Simplify (/ 1 1) into 1 8.943 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 8.943 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 8.943 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 8.944 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 8.944 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 8.944 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 8.944 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 8.944 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 8.944 * [taylor]: Taking taylor expansion of lambda2 in lambda2 8.944 * [backup-simplify]: Simplify 0 into 0 8.944 * [backup-simplify]: Simplify 1 into 1 8.944 * [backup-simplify]: Simplify (/ 1 1) into 1 8.944 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 8.944 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 8.944 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 8.944 * [taylor]: Taking taylor expansion of lambda1 in lambda2 8.944 * [backup-simplify]: Simplify lambda1 into lambda1 8.944 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 8.944 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 8.944 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 8.944 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 8.944 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 8.944 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 8.944 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 8.945 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 8.945 * [backup-simplify]: Simplify (+ 0) into 0 8.945 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 8.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 8.946 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.946 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 8.946 * [backup-simplify]: Simplify (+ 0 0) into 0 8.946 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 8.946 * [taylor]: Taking taylor expansion of 0 in lambda2 8.946 * [backup-simplify]: Simplify 0 into 0 8.946 * [backup-simplify]: Simplify 0 into 0 8.947 * [backup-simplify]: Simplify (+ 0) into 0 8.947 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 8.947 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 8.947 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.948 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 8.948 * [backup-simplify]: Simplify (+ 0 0) into 0 8.948 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 8.948 * [backup-simplify]: Simplify 0 into 0 8.949 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.949 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 8.949 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 8.950 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.950 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 8.950 * [backup-simplify]: Simplify (+ 0 0) into 0 8.951 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 8.951 * [taylor]: Taking taylor expansion of 0 in lambda2 8.951 * [backup-simplify]: Simplify 0 into 0 8.951 * [backup-simplify]: Simplify 0 into 0 8.951 * [backup-simplify]: Simplify 0 into 0 8.951 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.952 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 8.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 8.952 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.953 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 8.953 * [backup-simplify]: Simplify (+ 0 0) into 0 8.953 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 8.953 * [backup-simplify]: Simplify 0 into 0 8.954 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.954 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.955 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 8.956 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.956 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.956 * [backup-simplify]: Simplify (+ 0 0) into 0 8.957 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0 8.957 * [taylor]: Taking taylor expansion of 0 in lambda2 8.957 * [backup-simplify]: Simplify 0 into 0 8.957 * [backup-simplify]: Simplify 0 into 0 8.957 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))) into (* (sin lambda2) (sin lambda1)) 8.957 * [backup-simplify]: Simplify (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 8.957 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 8.957 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 8.957 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 8.957 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 8.957 * [taylor]: Taking taylor expansion of -1 in lambda2 8.957 * [backup-simplify]: Simplify -1 into -1 8.957 * [taylor]: Taking taylor expansion of lambda1 in lambda2 8.957 * [backup-simplify]: Simplify lambda1 into lambda1 8.957 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 8.957 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 8.958 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 8.958 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 8.958 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 8.958 * [taylor]: Taking taylor expansion of -1 in lambda2 8.958 * [backup-simplify]: Simplify -1 into -1 8.958 * [taylor]: Taking taylor expansion of lambda2 in lambda2 8.958 * [backup-simplify]: Simplify 0 into 0 8.958 * [backup-simplify]: Simplify 1 into 1 8.958 * [backup-simplify]: Simplify (/ -1 1) into -1 8.958 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 8.958 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 8.958 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 8.958 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 8.958 * [taylor]: Taking taylor expansion of -1 in lambda1 8.958 * [backup-simplify]: Simplify -1 into -1 8.958 * [taylor]: Taking taylor expansion of lambda1 in lambda1 8.958 * [backup-simplify]: Simplify 0 into 0 8.958 * [backup-simplify]: Simplify 1 into 1 8.958 * [backup-simplify]: Simplify (/ -1 1) into -1 8.958 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 8.958 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 8.958 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 8.958 * [taylor]: Taking taylor expansion of -1 in lambda1 8.958 * [backup-simplify]: Simplify -1 into -1 8.958 * [taylor]: Taking taylor expansion of lambda2 in lambda1 8.958 * [backup-simplify]: Simplify lambda2 into lambda2 8.959 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 8.959 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 8.959 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 8.959 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 8.959 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 8.959 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 8.959 * [taylor]: Taking taylor expansion of -1 in lambda1 8.959 * [backup-simplify]: Simplify -1 into -1 8.959 * [taylor]: Taking taylor expansion of lambda1 in lambda1 8.959 * [backup-simplify]: Simplify 0 into 0 8.959 * [backup-simplify]: Simplify 1 into 1 8.959 * [backup-simplify]: Simplify (/ -1 1) into -1 8.959 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 8.959 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 8.959 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 8.959 * [taylor]: Taking taylor expansion of -1 in lambda1 8.959 * [backup-simplify]: Simplify -1 into -1 8.959 * [taylor]: Taking taylor expansion of lambda2 in lambda1 8.959 * [backup-simplify]: Simplify lambda2 into lambda2 8.959 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 8.959 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 8.959 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 8.959 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 8.959 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 8.959 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 8.960 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 8.960 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 8.960 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 8.960 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 8.960 * [taylor]: Taking taylor expansion of -1 in lambda2 8.960 * [backup-simplify]: Simplify -1 into -1 8.960 * [taylor]: Taking taylor expansion of lambda1 in lambda2 8.960 * [backup-simplify]: Simplify lambda1 into lambda1 8.960 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 8.960 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 8.960 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 8.960 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 8.960 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 8.960 * [taylor]: Taking taylor expansion of -1 in lambda2 8.960 * [backup-simplify]: Simplify -1 into -1 8.960 * [taylor]: Taking taylor expansion of lambda2 in lambda2 8.960 * [backup-simplify]: Simplify 0 into 0 8.960 * [backup-simplify]: Simplify 1 into 1 8.960 * [backup-simplify]: Simplify (/ -1 1) into -1 8.960 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 8.960 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 8.960 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 8.960 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 8.960 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 8.961 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 8.961 * [backup-simplify]: Simplify (+ 0) into 0 8.961 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 8.961 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 8.962 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.962 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 8.962 * [backup-simplify]: Simplify (+ 0 0) into 0 8.962 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 8.962 * [taylor]: Taking taylor expansion of 0 in lambda2 8.962 * [backup-simplify]: Simplify 0 into 0 8.962 * [backup-simplify]: Simplify 0 into 0 8.963 * [backup-simplify]: Simplify (+ 0) into 0 8.963 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 8.963 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 8.964 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.964 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 8.965 * [backup-simplify]: Simplify (+ 0 0) into 0 8.965 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 8.965 * [backup-simplify]: Simplify 0 into 0 8.966 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.966 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 8.967 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 8.967 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.968 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 8.968 * [backup-simplify]: Simplify (+ 0 0) into 0 8.969 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 8.969 * [taylor]: Taking taylor expansion of 0 in lambda2 8.969 * [backup-simplify]: Simplify 0 into 0 8.969 * [backup-simplify]: Simplify 0 into 0 8.969 * [backup-simplify]: Simplify 0 into 0 8.970 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.971 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 8.971 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 8.972 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.972 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 8.973 * [backup-simplify]: Simplify (+ 0 0) into 0 8.974 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 8.974 * [backup-simplify]: Simplify 0 into 0 8.975 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.975 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.976 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 8.977 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.978 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.978 * [backup-simplify]: Simplify (+ 0 0) into 0 8.979 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 8.979 * [taylor]: Taking taylor expansion of 0 in lambda2 8.979 * [backup-simplify]: Simplify 0 into 0 8.979 * [backup-simplify]: Simplify 0 into 0 8.979 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2)) 8.979 * * * * [progress]: [ 3 / 4 ] generating series at (2) 8.980 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) 8.980 * [approximate]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in (phi1 phi2 lambda1 lambda2 R) around 0 8.980 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in R 8.980 * [taylor]: Taking taylor expansion of R in R 8.980 * [backup-simplify]: Simplify 0 into 0 8.980 * [backup-simplify]: Simplify 1 into 1 8.980 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in R 8.980 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) 8.980 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 8.980 * [taylor]: Taking taylor expansion of R in lambda2 8.980 * [backup-simplify]: Simplify R into R 8.980 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 8.981 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) 8.981 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 8.981 * [taylor]: Taking taylor expansion of R in lambda1 8.981 * [backup-simplify]: Simplify R into R 8.981 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 8.981 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) 8.981 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 8.981 * [taylor]: Taking taylor expansion of R in phi2 8.981 * [backup-simplify]: Simplify R into R 8.981 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 8.981 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) 8.981 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 8.981 * [taylor]: Taking taylor expansion of R in phi1 8.981 * [backup-simplify]: Simplify R into R 8.981 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 8.982 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) 8.982 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 8.982 * [taylor]: Taking taylor expansion of R in phi1 8.982 * [backup-simplify]: Simplify R into R 8.982 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 8.982 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) 8.982 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) 8.982 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 8.982 * [taylor]: Taking taylor expansion of R in phi2 8.982 * [backup-simplify]: Simplify R into R 8.982 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 8.983 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) 8.983 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) 8.983 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 8.983 * [taylor]: Taking taylor expansion of R in lambda1 8.983 * [backup-simplify]: Simplify R into R 8.983 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 8.983 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) 8.984 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) 8.984 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 8.984 * [taylor]: Taking taylor expansion of R in lambda2 8.984 * [backup-simplify]: Simplify R into R 8.984 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 8.984 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) 8.984 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) 8.984 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in R 8.984 * [taylor]: Taking taylor expansion of R in R 8.984 * [backup-simplify]: Simplify 0 into 0 8.985 * [backup-simplify]: Simplify 1 into 1 8.985 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in R 8.985 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) 8.985 * [backup-simplify]: Simplify (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into 0 8.985 * [backup-simplify]: Simplify 0 into 0 8.985 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 8.985 * [taylor]: Taking taylor expansion of 0 in phi2 8.986 * [backup-simplify]: Simplify 0 into 0 8.986 * [taylor]: Taking taylor expansion of 0 in lambda1 8.986 * [backup-simplify]: Simplify 0 into 0 8.986 * [taylor]: Taking taylor expansion of 0 in lambda2 8.986 * [backup-simplify]: Simplify 0 into 0 8.986 * [taylor]: Taking taylor expansion of 0 in R 8.986 * [backup-simplify]: Simplify 0 into 0 8.986 * [backup-simplify]: Simplify 0 into 0 8.986 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 8.986 * [taylor]: Taking taylor expansion of 0 in lambda1 8.986 * [backup-simplify]: Simplify 0 into 0 8.986 * [taylor]: Taking taylor expansion of 0 in lambda2 8.986 * [backup-simplify]: Simplify 0 into 0 8.986 * [taylor]: Taking taylor expansion of 0 in R 8.986 * [backup-simplify]: Simplify 0 into 0 8.986 * [backup-simplify]: Simplify 0 into 0 8.986 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 8.986 * [taylor]: Taking taylor expansion of 0 in lambda2 8.986 * [backup-simplify]: Simplify 0 into 0 8.986 * [taylor]: Taking taylor expansion of 0 in R 8.986 * [backup-simplify]: Simplify 0 into 0 8.987 * [backup-simplify]: Simplify 0 into 0 8.987 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 8.987 * [taylor]: Taking taylor expansion of 0 in R 8.987 * [backup-simplify]: Simplify 0 into 0 8.987 * [backup-simplify]: Simplify 0 into 0 8.988 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) 8.988 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) 8.991 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 8.991 * [taylor]: Taking taylor expansion of 0 in phi2 8.991 * [backup-simplify]: Simplify 0 into 0 8.991 * [taylor]: Taking taylor expansion of 0 in lambda1 8.991 * [backup-simplify]: Simplify 0 into 0 8.991 * [taylor]: Taking taylor expansion of 0 in lambda2 8.991 * [backup-simplify]: Simplify 0 into 0 8.991 * [taylor]: Taking taylor expansion of 0 in R 8.991 * [backup-simplify]: Simplify 0 into 0 8.991 * [backup-simplify]: Simplify 0 into 0 8.991 * [taylor]: Taking taylor expansion of 0 in lambda1 8.991 * [backup-simplify]: Simplify 0 into 0 8.991 * [taylor]: Taking taylor expansion of 0 in lambda2 8.991 * [backup-simplify]: Simplify 0 into 0 8.991 * [taylor]: Taking taylor expansion of 0 in R 8.991 * [backup-simplify]: Simplify 0 into 0 8.991 * [backup-simplify]: Simplify 0 into 0 8.992 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 8.992 * [taylor]: Taking taylor expansion of 0 in lambda1 8.992 * [backup-simplify]: Simplify 0 into 0 8.992 * [taylor]: Taking taylor expansion of 0 in lambda2 8.992 * [backup-simplify]: Simplify 0 into 0 8.992 * [taylor]: Taking taylor expansion of 0 in R 8.992 * [backup-simplify]: Simplify 0 into 0 8.992 * [backup-simplify]: Simplify 0 into 0 8.992 * [taylor]: Taking taylor expansion of 0 in lambda2 8.992 * [backup-simplify]: Simplify 0 into 0 8.992 * [taylor]: Taking taylor expansion of 0 in R 8.992 * [backup-simplify]: Simplify 0 into 0 8.992 * [backup-simplify]: Simplify 0 into 0 8.992 * [taylor]: Taking taylor expansion of 0 in lambda2 8.992 * [backup-simplify]: Simplify 0 into 0 8.992 * [taylor]: Taking taylor expansion of 0 in R 8.992 * [backup-simplify]: Simplify 0 into 0 8.992 * [backup-simplify]: Simplify 0 into 0 8.993 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 8.993 * [taylor]: Taking taylor expansion of 0 in lambda2 8.993 * [backup-simplify]: Simplify 0 into 0 8.993 * [taylor]: Taking taylor expansion of 0 in R 8.993 * [backup-simplify]: Simplify 0 into 0 8.993 * [backup-simplify]: Simplify 0 into 0 8.994 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) (* R (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) 8.994 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2))))))) (/ 1 R)) into (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) 8.994 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 8.994 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in R 8.994 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in R 8.995 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 8.995 * [taylor]: Taking taylor expansion of R in R 8.995 * [backup-simplify]: Simplify 0 into 0 8.995 * [backup-simplify]: Simplify 1 into 1 8.995 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 1) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 8.995 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in lambda2 8.995 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda2 8.995 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 8.995 * [taylor]: Taking taylor expansion of R in lambda2 8.996 * [backup-simplify]: Simplify R into R 8.996 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) 8.996 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in lambda1 8.996 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda1 8.996 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 8.996 * [taylor]: Taking taylor expansion of R in lambda1 8.996 * [backup-simplify]: Simplify R into R 8.997 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) 8.997 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in phi2 8.997 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi2 8.997 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 8.997 * [taylor]: Taking taylor expansion of R in phi2 8.997 * [backup-simplify]: Simplify R into R 8.998 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) 8.998 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in phi1 8.998 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi1 8.998 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 8.998 * [taylor]: Taking taylor expansion of R in phi1 8.998 * [backup-simplify]: Simplify R into R 8.999 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) 8.999 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in phi1 8.999 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi1 8.999 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 8.999 * [taylor]: Taking taylor expansion of R in phi1 8.999 * [backup-simplify]: Simplify R into R 9.000 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) 9.000 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in phi2 9.000 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi2 9.000 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 9.000 * [taylor]: Taking taylor expansion of R in phi2 9.000 * [backup-simplify]: Simplify R into R 9.000 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) 9.001 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in lambda1 9.001 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda1 9.001 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 9.001 * [taylor]: Taking taylor expansion of R in lambda1 9.001 * [backup-simplify]: Simplify R into R 9.001 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) 9.001 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in lambda2 9.001 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda2 9.002 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 9.002 * [taylor]: Taking taylor expansion of R in lambda2 9.002 * [backup-simplify]: Simplify R into R 9.002 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) 9.002 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in R 9.002 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in R 9.003 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 9.003 * [taylor]: Taking taylor expansion of R in R 9.003 * [backup-simplify]: Simplify 0 into 0 9.003 * [backup-simplify]: Simplify 1 into 1 9.003 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 1) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 9.004 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 9.004 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) (/ 0 R)))) into 0 9.004 * [taylor]: Taking taylor expansion of 0 in phi2 9.004 * [backup-simplify]: Simplify 0 into 0 9.004 * [taylor]: Taking taylor expansion of 0 in lambda1 9.004 * [backup-simplify]: Simplify 0 into 0 9.004 * [taylor]: Taking taylor expansion of 0 in lambda2 9.004 * [backup-simplify]: Simplify 0 into 0 9.004 * [taylor]: Taking taylor expansion of 0 in R 9.004 * [backup-simplify]: Simplify 0 into 0 9.005 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) (/ 0 R)))) into 0 9.005 * [taylor]: Taking taylor expansion of 0 in lambda1 9.005 * [backup-simplify]: Simplify 0 into 0 9.005 * [taylor]: Taking taylor expansion of 0 in lambda2 9.005 * [backup-simplify]: Simplify 0 into 0 9.005 * [taylor]: Taking taylor expansion of 0 in R 9.005 * [backup-simplify]: Simplify 0 into 0 9.005 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) (/ 0 R)))) into 0 9.005 * [taylor]: Taking taylor expansion of 0 in lambda2 9.006 * [backup-simplify]: Simplify 0 into 0 9.006 * [taylor]: Taking taylor expansion of 0 in R 9.006 * [backup-simplify]: Simplify 0 into 0 9.006 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) (/ 0 R)))) into 0 9.006 * [taylor]: Taking taylor expansion of 0 in R 9.006 * [backup-simplify]: Simplify 0 into 0 9.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) (/ 0 1)))) into 0 9.007 * [backup-simplify]: Simplify 0 into 0 9.008 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 9.008 * [taylor]: Taking taylor expansion of 0 in phi2 9.008 * [backup-simplify]: Simplify 0 into 0 9.008 * [taylor]: Taking taylor expansion of 0 in lambda1 9.008 * [backup-simplify]: Simplify 0 into 0 9.008 * [taylor]: Taking taylor expansion of 0 in lambda2 9.008 * [backup-simplify]: Simplify 0 into 0 9.008 * [taylor]: Taking taylor expansion of 0 in R 9.008 * [backup-simplify]: Simplify 0 into 0 9.008 * [taylor]: Taking taylor expansion of 0 in lambda1 9.008 * [backup-simplify]: Simplify 0 into 0 9.008 * [taylor]: Taking taylor expansion of 0 in lambda2 9.008 * [backup-simplify]: Simplify 0 into 0 9.008 * [taylor]: Taking taylor expansion of 0 in R 9.008 * [backup-simplify]: Simplify 0 into 0 9.009 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 9.009 * [taylor]: Taking taylor expansion of 0 in lambda1 9.009 * [backup-simplify]: Simplify 0 into 0 9.009 * [taylor]: Taking taylor expansion of 0 in lambda2 9.009 * [backup-simplify]: Simplify 0 into 0 9.009 * [taylor]: Taking taylor expansion of 0 in R 9.009 * [backup-simplify]: Simplify 0 into 0 9.009 * [taylor]: Taking taylor expansion of 0 in lambda2 9.009 * [backup-simplify]: Simplify 0 into 0 9.009 * [taylor]: Taking taylor expansion of 0 in R 9.009 * [backup-simplify]: Simplify 0 into 0 9.009 * [taylor]: Taking taylor expansion of 0 in lambda2 9.009 * [backup-simplify]: Simplify 0 into 0 9.009 * [taylor]: Taking taylor expansion of 0 in R 9.009 * [backup-simplify]: Simplify 0 into 0 9.009 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 9.009 * [taylor]: Taking taylor expansion of 0 in lambda2 9.009 * [backup-simplify]: Simplify 0 into 0 9.010 * [taylor]: Taking taylor expansion of 0 in R 9.010 * [backup-simplify]: Simplify 0 into 0 9.010 * [taylor]: Taking taylor expansion of 0 in R 9.010 * [backup-simplify]: Simplify 0 into 0 9.010 * [taylor]: Taking taylor expansion of 0 in R 9.010 * [backup-simplify]: Simplify 0 into 0 9.010 * [taylor]: Taking taylor expansion of 0 in R 9.010 * [backup-simplify]: Simplify 0 into 0 9.010 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 9.010 * [taylor]: Taking taylor expansion of 0 in R 9.010 * [backup-simplify]: Simplify 0 into 0 9.010 * [backup-simplify]: Simplify 0 into 0 9.010 * [backup-simplify]: Simplify 0 into 0 9.010 * [backup-simplify]: Simplify 0 into 0 9.010 * [backup-simplify]: Simplify 0 into 0 9.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.012 * [backup-simplify]: Simplify 0 into 0 9.013 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 9.013 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))))))) (/ 1 (- R))) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 9.013 * [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 9.013 * [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 9.013 * [taylor]: Taking taylor expansion of -1 in R 9.013 * [backup-simplify]: Simplify -1 into -1 9.013 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 9.013 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 9.014 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 9.014 * [taylor]: Taking taylor expansion of R in R 9.014 * [backup-simplify]: Simplify 0 into 0 9.014 * [backup-simplify]: Simplify 1 into 1 9.014 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 9.014 * [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 9.014 * [taylor]: Taking taylor expansion of -1 in lambda2 9.014 * [backup-simplify]: Simplify -1 into -1 9.014 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 9.014 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 9.015 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 9.015 * [taylor]: Taking taylor expansion of R in lambda2 9.015 * [backup-simplify]: Simplify R into R 9.015 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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) 9.015 * [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 9.015 * [taylor]: Taking taylor expansion of -1 in lambda1 9.015 * [backup-simplify]: Simplify -1 into -1 9.015 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 9.015 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 9.016 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 9.016 * [taylor]: Taking taylor expansion of R in lambda1 9.016 * [backup-simplify]: Simplify R into R 9.016 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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) 9.016 * [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 9.016 * [taylor]: Taking taylor expansion of -1 in phi2 9.016 * [backup-simplify]: Simplify -1 into -1 9.016 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 9.016 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 9.017 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 9.017 * [taylor]: Taking taylor expansion of R in phi2 9.017 * [backup-simplify]: Simplify R into R 9.017 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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) 9.017 * [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 9.017 * [taylor]: Taking taylor expansion of -1 in phi1 9.017 * [backup-simplify]: Simplify -1 into -1 9.017 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 9.017 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 9.018 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 9.018 * [taylor]: Taking taylor expansion of R in phi1 9.018 * [backup-simplify]: Simplify R into R 9.018 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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) 9.018 * [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 9.018 * [taylor]: Taking taylor expansion of -1 in phi1 9.018 * [backup-simplify]: Simplify -1 into -1 9.018 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 9.018 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 9.019 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 9.019 * [taylor]: Taking taylor expansion of R in phi1 9.019 * [backup-simplify]: Simplify R into R 9.019 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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) 9.020 * [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)) 9.020 * [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 9.020 * [taylor]: Taking taylor expansion of -1 in phi2 9.020 * [backup-simplify]: Simplify -1 into -1 9.020 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 9.020 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 9.020 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 9.020 * [taylor]: Taking taylor expansion of R in phi2 9.020 * [backup-simplify]: Simplify R into R 9.021 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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) 9.021 * [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)) 9.021 * [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 9.021 * [taylor]: Taking taylor expansion of -1 in lambda1 9.021 * [backup-simplify]: Simplify -1 into -1 9.021 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 9.021 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 9.022 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 9.022 * [taylor]: Taking taylor expansion of R in lambda1 9.022 * [backup-simplify]: Simplify R into R 9.022 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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) 9.023 * [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)) 9.023 * [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 9.023 * [taylor]: Taking taylor expansion of -1 in lambda2 9.023 * [backup-simplify]: Simplify -1 into -1 9.023 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 9.023 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 9.023 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 9.023 * [taylor]: Taking taylor expansion of R in lambda2 9.023 * [backup-simplify]: Simplify R into R 9.024 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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) 9.024 * [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)) 9.024 * [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 9.024 * [taylor]: Taking taylor expansion of -1 in R 9.024 * [backup-simplify]: Simplify -1 into -1 9.024 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 9.024 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 9.025 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 9.025 * [taylor]: Taking taylor expansion of R in R 9.025 * [backup-simplify]: Simplify 0 into 0 9.025 * [backup-simplify]: Simplify 1 into 1 9.025 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 9.026 * [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))))))))) 9.026 * [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))))))))) 9.027 * [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 9.028 * [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 9.028 * [taylor]: Taking taylor expansion of 0 in phi2 9.028 * [backup-simplify]: Simplify 0 into 0 9.028 * [taylor]: Taking taylor expansion of 0 in lambda1 9.028 * [backup-simplify]: Simplify 0 into 0 9.028 * [taylor]: Taking taylor expansion of 0 in lambda2 9.028 * [backup-simplify]: Simplify 0 into 0 9.028 * [taylor]: Taking taylor expansion of 0 in R 9.028 * [backup-simplify]: Simplify 0 into 0 9.028 * [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 9.029 * [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 9.029 * [taylor]: Taking taylor expansion of 0 in lambda1 9.029 * [backup-simplify]: Simplify 0 into 0 9.029 * [taylor]: Taking taylor expansion of 0 in lambda2 9.029 * [backup-simplify]: Simplify 0 into 0 9.029 * [taylor]: Taking taylor expansion of 0 in R 9.029 * [backup-simplify]: Simplify 0 into 0 9.030 * [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 9.030 * [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 9.030 * [taylor]: Taking taylor expansion of 0 in lambda2 9.030 * [backup-simplify]: Simplify 0 into 0 9.030 * [taylor]: Taking taylor expansion of 0 in R 9.030 * [backup-simplify]: Simplify 0 into 0 9.031 * [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 9.032 * [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 9.032 * [taylor]: Taking taylor expansion of 0 in R 9.032 * [backup-simplify]: Simplify 0 into 0 9.033 * [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 9.033 * [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 9.033 * [backup-simplify]: Simplify 0 into 0 9.034 * [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 9.035 * [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 9.035 * [taylor]: Taking taylor expansion of 0 in phi2 9.035 * [backup-simplify]: Simplify 0 into 0 9.035 * [taylor]: Taking taylor expansion of 0 in lambda1 9.035 * [backup-simplify]: Simplify 0 into 0 9.035 * [taylor]: Taking taylor expansion of 0 in lambda2 9.035 * [backup-simplify]: Simplify 0 into 0 9.035 * [taylor]: Taking taylor expansion of 0 in R 9.035 * [backup-simplify]: Simplify 0 into 0 9.035 * [taylor]: Taking taylor expansion of 0 in lambda1 9.035 * [backup-simplify]: Simplify 0 into 0 9.035 * [taylor]: Taking taylor expansion of 0 in lambda2 9.035 * [backup-simplify]: Simplify 0 into 0 9.035 * [taylor]: Taking taylor expansion of 0 in R 9.035 * [backup-simplify]: Simplify 0 into 0 9.036 * [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 9.037 * [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 9.037 * [taylor]: Taking taylor expansion of 0 in lambda1 9.037 * [backup-simplify]: Simplify 0 into 0 9.037 * [taylor]: Taking taylor expansion of 0 in lambda2 9.037 * [backup-simplify]: Simplify 0 into 0 9.037 * [taylor]: Taking taylor expansion of 0 in R 9.037 * [backup-simplify]: Simplify 0 into 0 9.037 * [taylor]: Taking taylor expansion of 0 in lambda2 9.037 * [backup-simplify]: Simplify 0 into 0 9.037 * [taylor]: Taking taylor expansion of 0 in R 9.037 * [backup-simplify]: Simplify 0 into 0 9.037 * [taylor]: Taking taylor expansion of 0 in lambda2 9.037 * [backup-simplify]: Simplify 0 into 0 9.037 * [taylor]: Taking taylor expansion of 0 in R 9.037 * [backup-simplify]: Simplify 0 into 0 9.038 * [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 9.039 * [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 9.039 * [taylor]: Taking taylor expansion of 0 in lambda2 9.039 * [backup-simplify]: Simplify 0 into 0 9.039 * [taylor]: Taking taylor expansion of 0 in R 9.039 * [backup-simplify]: Simplify 0 into 0 9.039 * [taylor]: Taking taylor expansion of 0 in R 9.039 * [backup-simplify]: Simplify 0 into 0 9.039 * [taylor]: Taking taylor expansion of 0 in R 9.039 * [backup-simplify]: Simplify 0 into 0 9.039 * [taylor]: Taking taylor expansion of 0 in R 9.039 * [backup-simplify]: Simplify 0 into 0 9.039 * [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 9.040 * [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 9.041 * [taylor]: Taking taylor expansion of 0 in R 9.041 * [backup-simplify]: Simplify 0 into 0 9.041 * [backup-simplify]: Simplify 0 into 0 9.041 * [backup-simplify]: Simplify 0 into 0 9.041 * [backup-simplify]: Simplify 0 into 0 9.041 * [backup-simplify]: Simplify 0 into 0 9.042 * [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 9.043 * [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 9.043 * [backup-simplify]: Simplify 0 into 0 9.044 * [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)))))) 9.044 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2) 9.044 * [backup-simplify]: Simplify (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) into (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) 9.044 * [approximate]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) in (lambda1 lambda2 phi1 phi2) around 0 9.044 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) in phi2 9.044 * [taylor]: Taking taylor expansion of (cos phi1) in phi2 9.044 * [taylor]: Taking taylor expansion of phi1 in phi2 9.044 * [backup-simplify]: Simplify phi1 into phi1 9.044 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 9.045 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 9.045 * [taylor]: Taking taylor expansion of (* (cos phi2) (* (sin lambda1) (sin lambda2))) in phi2 9.045 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 9.045 * [taylor]: Taking taylor expansion of phi2 in phi2 9.045 * [backup-simplify]: Simplify 0 into 0 9.045 * [backup-simplify]: Simplify 1 into 1 9.045 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi2 9.045 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 9.045 * [taylor]: Taking taylor expansion of lambda1 in phi2 9.045 * [backup-simplify]: Simplify lambda1 into lambda1 9.045 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 9.045 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 9.045 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 9.045 * [taylor]: Taking taylor expansion of lambda2 in phi2 9.045 * [backup-simplify]: Simplify lambda2 into lambda2 9.045 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 9.045 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 9.045 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) in phi1 9.045 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 9.045 * [taylor]: Taking taylor expansion of phi1 in phi1 9.045 * [backup-simplify]: Simplify 0 into 0 9.045 * [backup-simplify]: Simplify 1 into 1 9.045 * [taylor]: Taking taylor expansion of (* (cos phi2) (* (sin lambda1) (sin lambda2))) in phi1 9.045 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 9.045 * [taylor]: Taking taylor expansion of phi2 in phi1 9.045 * [backup-simplify]: Simplify phi2 into phi2 9.045 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 9.045 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 9.045 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi1 9.045 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 9.045 * [taylor]: Taking taylor expansion of lambda1 in phi1 9.045 * [backup-simplify]: Simplify lambda1 into lambda1 9.045 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 9.045 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 9.045 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1 9.045 * [taylor]: Taking taylor expansion of lambda2 in phi1 9.045 * [backup-simplify]: Simplify lambda2 into lambda2 9.045 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 9.045 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 9.045 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) in lambda2 9.045 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2 9.045 * [taylor]: Taking taylor expansion of phi1 in lambda2 9.045 * [backup-simplify]: Simplify phi1 into phi1 9.045 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 9.045 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 9.045 * [taylor]: Taking taylor expansion of (* (cos phi2) (* (sin lambda1) (sin lambda2))) in lambda2 9.045 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2 9.045 * [taylor]: Taking taylor expansion of phi2 in lambda2 9.045 * [backup-simplify]: Simplify phi2 into phi2 9.045 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 9.045 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 9.045 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 9.045 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 9.045 * [taylor]: Taking taylor expansion of lambda1 in lambda2 9.045 * [backup-simplify]: Simplify lambda1 into lambda1 9.045 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 9.045 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 9.046 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 9.046 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.046 * [backup-simplify]: Simplify 0 into 0 9.046 * [backup-simplify]: Simplify 1 into 1 9.046 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) in lambda1 9.046 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1 9.046 * [taylor]: Taking taylor expansion of phi1 in lambda1 9.046 * [backup-simplify]: Simplify phi1 into phi1 9.046 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 9.046 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 9.046 * [taylor]: Taking taylor expansion of (* (cos phi2) (* (sin lambda1) (sin lambda2))) in lambda1 9.046 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1 9.046 * [taylor]: Taking taylor expansion of phi2 in lambda1 9.046 * [backup-simplify]: Simplify phi2 into phi2 9.046 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 9.046 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 9.046 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 9.046 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 9.046 * [taylor]: Taking taylor expansion of lambda1 in lambda1 9.046 * [backup-simplify]: Simplify 0 into 0 9.046 * [backup-simplify]: Simplify 1 into 1 9.046 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 9.046 * [taylor]: Taking taylor expansion of lambda2 in lambda1 9.046 * [backup-simplify]: Simplify lambda2 into lambda2 9.046 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 9.046 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 9.046 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) in lambda1 9.046 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1 9.046 * [taylor]: Taking taylor expansion of phi1 in lambda1 9.046 * [backup-simplify]: Simplify phi1 into phi1 9.046 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 9.046 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 9.046 * [taylor]: Taking taylor expansion of (* (cos phi2) (* (sin lambda1) (sin lambda2))) in lambda1 9.046 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1 9.046 * [taylor]: Taking taylor expansion of phi2 in lambda1 9.046 * [backup-simplify]: Simplify phi2 into phi2 9.046 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 9.046 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 9.046 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 9.046 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 9.046 * [taylor]: Taking taylor expansion of lambda1 in lambda1 9.046 * [backup-simplify]: Simplify 0 into 0 9.046 * [backup-simplify]: Simplify 1 into 1 9.046 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 9.046 * [taylor]: Taking taylor expansion of lambda2 in lambda1 9.046 * [backup-simplify]: Simplify lambda2 into lambda2 9.046 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 9.046 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 9.046 * [backup-simplify]: Simplify (* (cos phi1) 1) into (cos phi1) 9.046 * [backup-simplify]: Simplify (* (sin phi1) 0) into 0 9.047 * [backup-simplify]: Simplify (- 0) into 0 9.047 * [backup-simplify]: Simplify (+ (cos phi1) 0) into (cos phi1) 9.047 * [backup-simplify]: Simplify (* (cos phi2) 1) into (cos phi2) 9.047 * [backup-simplify]: Simplify (* (sin phi2) 0) into 0 9.047 * [backup-simplify]: Simplify (- 0) into 0 9.047 * [backup-simplify]: Simplify (+ (cos phi2) 0) into (cos phi2) 9.047 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 9.047 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 9.047 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 9.047 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0 9.047 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 9.047 * [backup-simplify]: Simplify (* (cos phi1) 0) into 0 9.047 * [taylor]: Taking taylor expansion of 0 in lambda2 9.047 * [backup-simplify]: Simplify 0 into 0 9.047 * [taylor]: Taking taylor expansion of 0 in phi1 9.047 * [backup-simplify]: Simplify 0 into 0 9.047 * [taylor]: Taking taylor expansion of 0 in phi2 9.047 * [backup-simplify]: Simplify 0 into 0 9.047 * [backup-simplify]: Simplify 0 into 0 9.048 * [backup-simplify]: Simplify (+ 0) into 0 9.048 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 9.049 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.049 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 9.049 * [backup-simplify]: Simplify (+ 0 0) into 0 9.049 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 9.050 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2) 9.050 * [backup-simplify]: Simplify (+ 0) into 0 9.050 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 1)) into 0 9.051 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.051 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 0)) into 0 9.051 * [backup-simplify]: Simplify (- 0) into 0 9.052 * [backup-simplify]: Simplify (+ 0 0) into 0 9.052 * [backup-simplify]: Simplify (+ (* (cos phi2) (sin lambda2)) (* 0 0)) into (* (cos phi2) (sin lambda2)) 9.052 * [backup-simplify]: Simplify (+ 0) into 0 9.052 * [backup-simplify]: Simplify (+ (* (cos phi1) 0) (* 0 1)) into 0 9.053 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.053 * [backup-simplify]: Simplify (+ (* (sin phi1) 0) (* 0 0)) into 0 9.053 * [backup-simplify]: Simplify (- 0) into 0 9.054 * [backup-simplify]: Simplify (+ 0 0) into 0 9.054 * [backup-simplify]: Simplify (+ (* (cos phi1) (* (cos phi2) (sin lambda2))) (* 0 0)) into (* (cos phi1) (* (cos phi2) (sin lambda2))) 9.054 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (sin lambda2))) in lambda2 9.054 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2 9.054 * [taylor]: Taking taylor expansion of phi1 in lambda2 9.054 * [backup-simplify]: Simplify phi1 into phi1 9.054 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 9.054 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 9.054 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in lambda2 9.054 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2 9.054 * [taylor]: Taking taylor expansion of phi2 in lambda2 9.054 * [backup-simplify]: Simplify phi2 into phi2 9.054 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 9.054 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 9.054 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 9.054 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.054 * [backup-simplify]: Simplify 0 into 0 9.054 * [backup-simplify]: Simplify 1 into 1 9.054 * [backup-simplify]: Simplify (* (cos phi1) 1) into (cos phi1) 9.054 * [backup-simplify]: Simplify (* (sin phi1) 0) into 0 9.055 * [backup-simplify]: Simplify (- 0) into 0 9.055 * [backup-simplify]: Simplify (+ (cos phi1) 0) into (cos phi1) 9.055 * [backup-simplify]: Simplify (* (cos phi2) 1) into (cos phi2) 9.055 * [backup-simplify]: Simplify (* (sin phi2) 0) into 0 9.055 * [backup-simplify]: Simplify (- 0) into 0 9.055 * [backup-simplify]: Simplify (+ (cos phi2) 0) into (cos phi2) 9.055 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 9.055 * [backup-simplify]: Simplify (* (cos phi1) 0) into 0 9.055 * [taylor]: Taking taylor expansion of 0 in phi1 9.055 * [backup-simplify]: Simplify 0 into 0 9.055 * [taylor]: Taking taylor expansion of 0 in phi2 9.055 * [backup-simplify]: Simplify 0 into 0 9.055 * [backup-simplify]: Simplify 0 into 0 9.055 * [taylor]: Taking taylor expansion of 0 in phi1 9.055 * [backup-simplify]: Simplify 0 into 0 9.055 * [taylor]: Taking taylor expansion of 0 in phi2 9.055 * [backup-simplify]: Simplify 0 into 0 9.055 * [backup-simplify]: Simplify 0 into 0 9.055 * [taylor]: Taking taylor expansion of 0 in phi2 9.055 * [backup-simplify]: Simplify 0 into 0 9.055 * [backup-simplify]: Simplify 0 into 0 9.055 * [backup-simplify]: Simplify 0 into 0 9.056 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.056 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 9.057 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.057 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 9.057 * [backup-simplify]: Simplify (+ 0 0) into 0 9.058 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.058 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0 9.059 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.060 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 1))) into 0 9.061 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.061 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 0))) into 0 9.061 * [backup-simplify]: Simplify (- 0) into 0 9.062 * [backup-simplify]: Simplify (+ 0 0) into 0 9.062 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 (sin lambda2)) (* 0 0))) into 0 9.063 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.064 * [backup-simplify]: Simplify (+ (* (cos phi1) 0) (+ (* 0 0) (* 0 1))) into 0 9.065 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.065 * [backup-simplify]: Simplify (+ (* (sin phi1) 0) (+ (* 0 0) (* 0 0))) into 0 9.066 * [backup-simplify]: Simplify (- 0) into 0 9.066 * [backup-simplify]: Simplify (+ 0 0) into 0 9.066 * [backup-simplify]: Simplify (+ (* (cos phi1) 0) (+ (* 0 (* (cos phi2) (sin lambda2))) (* 0 0))) into 0 9.066 * [taylor]: Taking taylor expansion of 0 in lambda2 9.066 * [backup-simplify]: Simplify 0 into 0 9.067 * [taylor]: Taking taylor expansion of 0 in phi1 9.067 * [backup-simplify]: Simplify 0 into 0 9.067 * [taylor]: Taking taylor expansion of 0 in phi2 9.067 * [backup-simplify]: Simplify 0 into 0 9.067 * [backup-simplify]: Simplify 0 into 0 9.067 * [backup-simplify]: Simplify 0 into 0 9.067 * [backup-simplify]: Simplify (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) into (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) 9.067 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) in (lambda1 lambda2 phi1 phi2) around 0 9.067 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) in phi2 9.067 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 9.067 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 9.067 * [taylor]: Taking taylor expansion of lambda2 in phi2 9.067 * [backup-simplify]: Simplify lambda2 into lambda2 9.067 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 9.067 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 9.067 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 9.067 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) in phi2 9.067 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 9.067 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 9.067 * [taylor]: Taking taylor expansion of phi2 in phi2 9.068 * [backup-simplify]: Simplify 0 into 0 9.068 * [backup-simplify]: Simplify 1 into 1 9.068 * [backup-simplify]: Simplify (/ 1 1) into 1 9.068 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 9.068 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))) in phi2 9.068 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 9.068 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 9.068 * [taylor]: Taking taylor expansion of lambda1 in phi2 9.068 * [backup-simplify]: Simplify lambda1 into lambda1 9.068 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 9.068 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 9.068 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 9.068 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 9.068 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 9.068 * [taylor]: Taking taylor expansion of phi1 in phi2 9.069 * [backup-simplify]: Simplify phi1 into phi1 9.069 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 9.069 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 9.069 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 9.069 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) in phi1 9.069 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 9.069 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 9.069 * [taylor]: Taking taylor expansion of lambda2 in phi1 9.069 * [backup-simplify]: Simplify lambda2 into lambda2 9.069 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 9.069 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 9.069 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 9.069 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) in phi1 9.069 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 9.069 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 9.069 * [taylor]: Taking taylor expansion of phi2 in phi1 9.069 * [backup-simplify]: Simplify phi2 into phi2 9.069 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 9.069 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 9.069 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 9.069 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))) in phi1 9.069 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 9.069 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 9.069 * [taylor]: Taking taylor expansion of lambda1 in phi1 9.069 * [backup-simplify]: Simplify lambda1 into lambda1 9.070 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 9.070 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 9.070 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 9.070 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 9.070 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 9.070 * [taylor]: Taking taylor expansion of phi1 in phi1 9.070 * [backup-simplify]: Simplify 0 into 0 9.070 * [backup-simplify]: Simplify 1 into 1 9.070 * [backup-simplify]: Simplify (/ 1 1) into 1 9.070 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 9.070 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) in lambda2 9.070 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 9.070 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 9.070 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.070 * [backup-simplify]: Simplify 0 into 0 9.070 * [backup-simplify]: Simplify 1 into 1 9.071 * [backup-simplify]: Simplify (/ 1 1) into 1 9.071 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 9.071 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) in lambda2 9.071 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 9.071 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 9.071 * [taylor]: Taking taylor expansion of phi2 in lambda2 9.071 * [backup-simplify]: Simplify phi2 into phi2 9.071 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 9.071 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 9.071 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 9.071 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))) in lambda2 9.071 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 9.071 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 9.071 * [taylor]: Taking taylor expansion of lambda1 in lambda2 9.071 * [backup-simplify]: Simplify lambda1 into lambda1 9.071 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 9.071 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 9.072 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 9.072 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 9.072 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 9.072 * [taylor]: Taking taylor expansion of phi1 in lambda2 9.072 * [backup-simplify]: Simplify phi1 into phi1 9.072 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 9.072 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 9.072 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 9.072 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) in lambda1 9.072 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 9.072 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 9.072 * [taylor]: Taking taylor expansion of lambda2 in lambda1 9.072 * [backup-simplify]: Simplify lambda2 into lambda2 9.072 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 9.072 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 9.072 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 9.072 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) in lambda1 9.072 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 9.072 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 9.072 * [taylor]: Taking taylor expansion of phi2 in lambda1 9.072 * [backup-simplify]: Simplify phi2 into phi2 9.072 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 9.072 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 9.072 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 9.073 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))) in lambda1 9.073 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 9.073 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 9.073 * [taylor]: Taking taylor expansion of lambda1 in lambda1 9.073 * [backup-simplify]: Simplify 0 into 0 9.073 * [backup-simplify]: Simplify 1 into 1 9.075 * [backup-simplify]: Simplify (/ 1 1) into 1 9.075 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 9.075 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 9.075 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 9.075 * [taylor]: Taking taylor expansion of phi1 in lambda1 9.075 * [backup-simplify]: Simplify phi1 into phi1 9.075 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 9.076 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 9.076 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 9.076 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) in lambda1 9.076 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 9.076 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 9.076 * [taylor]: Taking taylor expansion of lambda2 in lambda1 9.076 * [backup-simplify]: Simplify lambda2 into lambda2 9.076 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 9.076 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 9.076 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 9.076 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) in lambda1 9.076 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 9.076 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 9.076 * [taylor]: Taking taylor expansion of phi2 in lambda1 9.076 * [backup-simplify]: Simplify phi2 into phi2 9.076 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 9.076 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 9.076 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 9.076 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))) in lambda1 9.076 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 9.076 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 9.076 * [taylor]: Taking taylor expansion of lambda1 in lambda1 9.076 * [backup-simplify]: Simplify 0 into 0 9.076 * [backup-simplify]: Simplify 1 into 1 9.077 * [backup-simplify]: Simplify (/ 1 1) into 1 9.077 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 9.077 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 9.077 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 9.077 * [taylor]: Taking taylor expansion of phi1 in lambda1 9.077 * [backup-simplify]: Simplify phi1 into phi1 9.077 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 9.077 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 9.077 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 9.078 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 9.078 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 9.078 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 9.078 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2)) 9.078 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 0) into 0 9.078 * [backup-simplify]: Simplify (- 0) into 0 9.079 * [backup-simplify]: Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2)) 9.079 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1)) 9.079 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 0) into 0 9.079 * [backup-simplify]: Simplify (- 0) into 0 9.079 * [backup-simplify]: Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1)) 9.079 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))) into (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))) 9.079 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) 9.080 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) into (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) 9.080 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) in lambda2 9.080 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 9.080 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 9.080 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.080 * [backup-simplify]: Simplify 0 into 0 9.080 * [backup-simplify]: Simplify 1 into 1 9.080 * [backup-simplify]: Simplify (/ 1 1) into 1 9.080 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 9.080 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) in lambda2 9.080 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 9.080 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 9.080 * [taylor]: Taking taylor expansion of phi2 in lambda2 9.081 * [backup-simplify]: Simplify phi2 into phi2 9.081 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 9.081 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 9.081 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 9.081 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))) in lambda2 9.081 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 9.081 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 9.081 * [taylor]: Taking taylor expansion of lambda1 in lambda2 9.081 * [backup-simplify]: Simplify lambda1 into lambda1 9.081 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 9.081 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 9.081 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 9.081 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 9.081 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 9.081 * [taylor]: Taking taylor expansion of phi1 in lambda2 9.081 * [backup-simplify]: Simplify phi1 into phi1 9.081 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 9.081 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 9.081 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 9.081 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2)) 9.081 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 0) into 0 9.082 * [backup-simplify]: Simplify (- 0) into 0 9.082 * [backup-simplify]: Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2)) 9.082 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 9.082 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 9.082 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 9.082 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1)) 9.082 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 0) into 0 9.083 * [backup-simplify]: Simplify (- 0) into 0 9.083 * [backup-simplify]: Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1)) 9.083 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))) into (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))) 9.083 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) 9.083 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) into (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) 9.084 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) in phi1 9.084 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 9.084 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 9.084 * [taylor]: Taking taylor expansion of lambda2 in phi1 9.084 * [backup-simplify]: Simplify lambda2 into lambda2 9.084 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 9.084 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 9.084 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 9.084 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) in phi1 9.084 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 9.084 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 9.084 * [taylor]: Taking taylor expansion of phi2 in phi1 9.084 * [backup-simplify]: Simplify phi2 into phi2 9.084 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 9.084 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 9.084 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 9.084 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))) in phi1 9.084 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 9.084 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 9.084 * [taylor]: Taking taylor expansion of lambda1 in phi1 9.084 * [backup-simplify]: Simplify lambda1 into lambda1 9.084 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 9.084 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 9.084 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 9.085 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 9.085 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 9.085 * [taylor]: Taking taylor expansion of phi1 in phi1 9.085 * [backup-simplify]: Simplify 0 into 0 9.085 * [backup-simplify]: Simplify 1 into 1 9.085 * [backup-simplify]: Simplify (/ 1 1) into 1 9.085 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 9.085 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 9.085 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 9.085 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 9.085 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2)) 9.086 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 0) into 0 9.086 * [backup-simplify]: Simplify (- 0) into 0 9.086 * [backup-simplify]: Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2)) 9.086 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 9.086 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 9.086 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 9.086 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))) into (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))) 9.087 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) 9.087 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) into (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) 9.087 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) in phi2 9.087 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 9.087 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 9.087 * [taylor]: Taking taylor expansion of lambda2 in phi2 9.087 * [backup-simplify]: Simplify lambda2 into lambda2 9.087 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 9.087 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 9.087 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 9.087 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) in phi2 9.087 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 9.087 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 9.087 * [taylor]: Taking taylor expansion of phi2 in phi2 9.087 * [backup-simplify]: Simplify 0 into 0 9.087 * [backup-simplify]: Simplify 1 into 1 9.088 * [backup-simplify]: Simplify (/ 1 1) into 1 9.088 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 9.088 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))) in phi2 9.088 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 9.088 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 9.088 * [taylor]: Taking taylor expansion of lambda1 in phi2 9.088 * [backup-simplify]: Simplify lambda1 into lambda1 9.088 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 9.088 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 9.088 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 9.088 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 9.088 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 9.088 * [taylor]: Taking taylor expansion of phi1 in phi2 9.088 * [backup-simplify]: Simplify phi1 into phi1 9.088 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 9.088 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 9.089 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 9.089 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 9.089 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 9.089 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 9.089 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 9.089 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 9.089 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 9.089 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1)) 9.089 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 0) into 0 9.090 * [backup-simplify]: Simplify (- 0) into 0 9.090 * [backup-simplify]: Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1)) 9.090 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))) into (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))) 9.090 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) 9.090 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) into (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) 9.091 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) into (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) 9.091 * [backup-simplify]: Simplify (+ 0) into 0 9.092 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 1)) into 0 9.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 9.093 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.093 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 0)) into 0 9.094 * [backup-simplify]: Simplify (- 0) into 0 9.094 * [backup-simplify]: Simplify (+ 0 0) into 0 9.094 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (cos (/ 1 phi1)))) into 0 9.095 * [backup-simplify]: Simplify (+ 0) into 0 9.095 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0 9.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 9.096 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.096 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0 9.097 * [backup-simplify]: Simplify (- 0) into 0 9.097 * [backup-simplify]: Simplify (+ 0 0) into 0 9.098 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) into 0 9.098 * [backup-simplify]: Simplify (+ 0) into 0 9.098 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 9.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 9.099 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.100 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 9.100 * [backup-simplify]: Simplify (+ 0 0) into 0 9.100 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))))) into 0 9.101 * [taylor]: Taking taylor expansion of 0 in lambda2 9.101 * [backup-simplify]: Simplify 0 into 0 9.101 * [taylor]: Taking taylor expansion of 0 in phi1 9.101 * [backup-simplify]: Simplify 0 into 0 9.101 * [taylor]: Taking taylor expansion of 0 in phi2 9.101 * [backup-simplify]: Simplify 0 into 0 9.101 * [backup-simplify]: Simplify 0 into 0 9.101 * [backup-simplify]: Simplify (+ 0) into 0 9.102 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 1)) into 0 9.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 9.103 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.103 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 0)) into 0 9.103 * [backup-simplify]: Simplify (- 0) into 0 9.104 * [backup-simplify]: Simplify (+ 0 0) into 0 9.104 * [backup-simplify]: Simplify (+ 0) into 0 9.105 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 9.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 9.106 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.106 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 9.106 * [backup-simplify]: Simplify (+ 0 0) into 0 9.107 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (cos (/ 1 phi1)))) into 0 9.107 * [backup-simplify]: Simplify (+ 0) into 0 9.107 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0 9.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 9.108 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.109 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0 9.109 * [backup-simplify]: Simplify (- 0) into 0 9.110 * [backup-simplify]: Simplify (+ 0 0) into 0 9.110 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) into 0 9.110 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))))) into 0 9.110 * [taylor]: Taking taylor expansion of 0 in phi1 9.110 * [backup-simplify]: Simplify 0 into 0 9.110 * [taylor]: Taking taylor expansion of 0 in phi2 9.110 * [backup-simplify]: Simplify 0 into 0 9.110 * [backup-simplify]: Simplify 0 into 0 9.111 * [backup-simplify]: Simplify (+ 0) into 0 9.111 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 9.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 9.112 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.112 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 9.113 * [backup-simplify]: Simplify (+ 0 0) into 0 9.113 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (cos (/ 1 phi1)))) into 0 9.113 * [backup-simplify]: Simplify (+ 0) into 0 9.114 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0 9.114 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 9.115 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.115 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0 9.116 * [backup-simplify]: Simplify (- 0) into 0 9.116 * [backup-simplify]: Simplify (+ 0 0) into 0 9.116 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) into 0 9.117 * [backup-simplify]: Simplify (+ 0) into 0 9.117 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 9.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 9.118 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.118 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 9.119 * [backup-simplify]: Simplify (+ 0 0) into 0 9.119 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))))) into 0 9.119 * [taylor]: Taking taylor expansion of 0 in phi2 9.119 * [backup-simplify]: Simplify 0 into 0 9.119 * [backup-simplify]: Simplify 0 into 0 9.120 * [backup-simplify]: Simplify (+ 0) into 0 9.120 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 1)) into 0 9.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 9.121 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.121 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 0)) into 0 9.122 * [backup-simplify]: Simplify (- 0) into 0 9.122 * [backup-simplify]: Simplify (+ 0 0) into 0 9.123 * [backup-simplify]: Simplify (+ 0) into 0 9.123 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 9.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 9.124 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.124 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 9.125 * [backup-simplify]: Simplify (+ 0 0) into 0 9.125 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (cos (/ 1 phi1)))) into 0 9.125 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) into 0 9.126 * [backup-simplify]: Simplify (+ 0) into 0 9.126 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 9.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 9.127 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.127 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 9.128 * [backup-simplify]: Simplify (+ 0 0) into 0 9.128 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))))) into 0 9.128 * [backup-simplify]: Simplify 0 into 0 9.129 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.130 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 9.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 9.131 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.131 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 9.132 * [backup-simplify]: Simplify (- 0) into 0 9.132 * [backup-simplify]: Simplify (+ 0 0) into 0 9.133 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (cos (/ 1 phi1))))) into 0 9.133 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.135 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 9.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 9.136 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.136 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 9.137 * [backup-simplify]: Simplify (- 0) into 0 9.137 * [backup-simplify]: Simplify (+ 0 0) into 0 9.138 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))))) into 0 9.139 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.139 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 9.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 9.140 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.141 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 9.141 * [backup-simplify]: Simplify (+ 0 0) into 0 9.142 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))))) into 0 9.142 * [taylor]: Taking taylor expansion of 0 in lambda2 9.142 * [backup-simplify]: Simplify 0 into 0 9.142 * [taylor]: Taking taylor expansion of 0 in phi1 9.142 * [backup-simplify]: Simplify 0 into 0 9.142 * [taylor]: Taking taylor expansion of 0 in phi2 9.142 * [backup-simplify]: Simplify 0 into 0 9.142 * [backup-simplify]: Simplify 0 into 0 9.142 * [taylor]: Taking taylor expansion of 0 in phi1 9.142 * [backup-simplify]: Simplify 0 into 0 9.142 * [taylor]: Taking taylor expansion of 0 in phi2 9.142 * [backup-simplify]: Simplify 0 into 0 9.142 * [backup-simplify]: Simplify 0 into 0 9.143 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) into (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) 9.143 * [backup-simplify]: Simplify (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) into (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) 9.143 * [approximate]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in (lambda1 lambda2 phi1 phi2) around 0 9.143 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in phi2 9.143 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 9.143 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 9.143 * [taylor]: Taking taylor expansion of -1 in phi2 9.143 * [backup-simplify]: Simplify -1 into -1 9.143 * [taylor]: Taking taylor expansion of phi1 in phi2 9.143 * [backup-simplify]: Simplify phi1 into phi1 9.143 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 9.143 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 9.143 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 9.143 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in phi2 9.143 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 9.143 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 9.143 * [taylor]: Taking taylor expansion of -1 in phi2 9.143 * [backup-simplify]: Simplify -1 into -1 9.143 * [taylor]: Taking taylor expansion of lambda1 in phi2 9.144 * [backup-simplify]: Simplify lambda1 into lambda1 9.144 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 9.144 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 9.144 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 9.144 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in phi2 9.144 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 9.144 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 9.144 * [taylor]: Taking taylor expansion of -1 in phi2 9.144 * [backup-simplify]: Simplify -1 into -1 9.144 * [taylor]: Taking taylor expansion of phi2 in phi2 9.144 * [backup-simplify]: Simplify 0 into 0 9.144 * [backup-simplify]: Simplify 1 into 1 9.144 * [backup-simplify]: Simplify (/ -1 1) into -1 9.145 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 9.145 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2 9.145 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 9.145 * [taylor]: Taking taylor expansion of -1 in phi2 9.145 * [backup-simplify]: Simplify -1 into -1 9.145 * [taylor]: Taking taylor expansion of lambda2 in phi2 9.145 * [backup-simplify]: Simplify lambda2 into lambda2 9.145 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 9.145 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 9.145 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 9.145 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in phi1 9.145 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 9.145 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 9.145 * [taylor]: Taking taylor expansion of -1 in phi1 9.145 * [backup-simplify]: Simplify -1 into -1 9.145 * [taylor]: Taking taylor expansion of phi1 in phi1 9.145 * [backup-simplify]: Simplify 0 into 0 9.145 * [backup-simplify]: Simplify 1 into 1 9.146 * [backup-simplify]: Simplify (/ -1 1) into -1 9.146 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 9.146 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in phi1 9.146 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 9.146 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 9.146 * [taylor]: Taking taylor expansion of -1 in phi1 9.146 * [backup-simplify]: Simplify -1 into -1 9.146 * [taylor]: Taking taylor expansion of lambda1 in phi1 9.146 * [backup-simplify]: Simplify lambda1 into lambda1 9.146 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 9.146 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 9.146 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 9.146 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in phi1 9.146 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 9.146 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 9.146 * [taylor]: Taking taylor expansion of -1 in phi1 9.146 * [backup-simplify]: Simplify -1 into -1 9.146 * [taylor]: Taking taylor expansion of phi2 in phi1 9.146 * [backup-simplify]: Simplify phi2 into phi2 9.146 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 9.146 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 9.146 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 9.146 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1 9.146 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 9.146 * [taylor]: Taking taylor expansion of -1 in phi1 9.146 * [backup-simplify]: Simplify -1 into -1 9.147 * [taylor]: Taking taylor expansion of lambda2 in phi1 9.147 * [backup-simplify]: Simplify lambda2 into lambda2 9.147 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 9.147 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 9.147 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 9.147 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda2 9.147 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 9.147 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 9.147 * [taylor]: Taking taylor expansion of -1 in lambda2 9.147 * [backup-simplify]: Simplify -1 into -1 9.147 * [taylor]: Taking taylor expansion of phi1 in lambda2 9.147 * [backup-simplify]: Simplify phi1 into phi1 9.147 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 9.147 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 9.147 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 9.147 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in lambda2 9.147 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 9.147 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 9.147 * [taylor]: Taking taylor expansion of -1 in lambda2 9.147 * [backup-simplify]: Simplify -1 into -1 9.147 * [taylor]: Taking taylor expansion of lambda1 in lambda2 9.147 * [backup-simplify]: Simplify lambda1 into lambda1 9.147 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 9.147 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 9.148 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 9.148 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in lambda2 9.148 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 9.148 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 9.148 * [taylor]: Taking taylor expansion of -1 in lambda2 9.148 * [backup-simplify]: Simplify -1 into -1 9.148 * [taylor]: Taking taylor expansion of phi2 in lambda2 9.148 * [backup-simplify]: Simplify phi2 into phi2 9.148 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 9.148 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 9.148 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 9.148 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 9.148 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 9.148 * [taylor]: Taking taylor expansion of -1 in lambda2 9.148 * [backup-simplify]: Simplify -1 into -1 9.148 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.148 * [backup-simplify]: Simplify 0 into 0 9.148 * [backup-simplify]: Simplify 1 into 1 9.149 * [backup-simplify]: Simplify (/ -1 1) into -1 9.149 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 9.149 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda1 9.149 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 9.149 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 9.149 * [taylor]: Taking taylor expansion of -1 in lambda1 9.149 * [backup-simplify]: Simplify -1 into -1 9.149 * [taylor]: Taking taylor expansion of phi1 in lambda1 9.149 * [backup-simplify]: Simplify phi1 into phi1 9.149 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 9.149 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 9.149 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 9.149 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in lambda1 9.149 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 9.149 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 9.149 * [taylor]: Taking taylor expansion of -1 in lambda1 9.149 * [backup-simplify]: Simplify -1 into -1 9.149 * [taylor]: Taking taylor expansion of lambda1 in lambda1 9.149 * [backup-simplify]: Simplify 0 into 0 9.149 * [backup-simplify]: Simplify 1 into 1 9.150 * [backup-simplify]: Simplify (/ -1 1) into -1 9.150 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 9.150 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in lambda1 9.150 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 9.150 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 9.150 * [taylor]: Taking taylor expansion of -1 in lambda1 9.150 * [backup-simplify]: Simplify -1 into -1 9.150 * [taylor]: Taking taylor expansion of phi2 in lambda1 9.150 * [backup-simplify]: Simplify phi2 into phi2 9.150 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 9.150 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 9.150 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 9.150 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 9.150 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 9.151 * [taylor]: Taking taylor expansion of -1 in lambda1 9.151 * [backup-simplify]: Simplify -1 into -1 9.151 * [taylor]: Taking taylor expansion of lambda2 in lambda1 9.151 * [backup-simplify]: Simplify lambda2 into lambda2 9.151 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 9.151 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 9.151 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 9.151 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda1 9.151 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 9.151 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 9.151 * [taylor]: Taking taylor expansion of -1 in lambda1 9.151 * [backup-simplify]: Simplify -1 into -1 9.151 * [taylor]: Taking taylor expansion of phi1 in lambda1 9.151 * [backup-simplify]: Simplify phi1 into phi1 9.151 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 9.151 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 9.151 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 9.151 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in lambda1 9.151 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 9.151 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 9.151 * [taylor]: Taking taylor expansion of -1 in lambda1 9.151 * [backup-simplify]: Simplify -1 into -1 9.151 * [taylor]: Taking taylor expansion of lambda1 in lambda1 9.151 * [backup-simplify]: Simplify 0 into 0 9.151 * [backup-simplify]: Simplify 1 into 1 9.152 * [backup-simplify]: Simplify (/ -1 1) into -1 9.152 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 9.152 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in lambda1 9.152 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 9.152 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 9.152 * [taylor]: Taking taylor expansion of -1 in lambda1 9.152 * [backup-simplify]: Simplify -1 into -1 9.152 * [taylor]: Taking taylor expansion of phi2 in lambda1 9.152 * [backup-simplify]: Simplify phi2 into phi2 9.152 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 9.152 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 9.152 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 9.152 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 9.152 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 9.152 * [taylor]: Taking taylor expansion of -1 in lambda1 9.152 * [backup-simplify]: Simplify -1 into -1 9.152 * [taylor]: Taking taylor expansion of lambda2 in lambda1 9.153 * [backup-simplify]: Simplify lambda2 into lambda2 9.153 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 9.153 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 9.153 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 9.153 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1)) 9.153 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 0) into 0 9.153 * [backup-simplify]: Simplify (- 0) into 0 9.154 * [backup-simplify]: Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1)) 9.154 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2)) 9.154 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 0) into 0 9.154 * [backup-simplify]: Simplify (- 0) into 0 9.154 * [backup-simplify]: Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2)) 9.154 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 9.154 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 9.155 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 9.155 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))) 9.155 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))) into (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))) 9.155 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) into (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) 9.155 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda2 9.155 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 9.155 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 9.155 * [taylor]: Taking taylor expansion of -1 in lambda2 9.155 * [backup-simplify]: Simplify -1 into -1 9.155 * [taylor]: Taking taylor expansion of phi1 in lambda2 9.155 * [backup-simplify]: Simplify phi1 into phi1 9.155 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 9.155 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 9.156 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 9.156 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in lambda2 9.156 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 9.156 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 9.156 * [taylor]: Taking taylor expansion of -1 in lambda2 9.156 * [backup-simplify]: Simplify -1 into -1 9.156 * [taylor]: Taking taylor expansion of lambda1 in lambda2 9.156 * [backup-simplify]: Simplify lambda1 into lambda1 9.156 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 9.156 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 9.156 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 9.156 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in lambda2 9.156 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 9.156 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 9.156 * [taylor]: Taking taylor expansion of -1 in lambda2 9.156 * [backup-simplify]: Simplify -1 into -1 9.156 * [taylor]: Taking taylor expansion of phi2 in lambda2 9.156 * [backup-simplify]: Simplify phi2 into phi2 9.156 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 9.156 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 9.156 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 9.156 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 9.156 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 9.156 * [taylor]: Taking taylor expansion of -1 in lambda2 9.156 * [backup-simplify]: Simplify -1 into -1 9.157 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.157 * [backup-simplify]: Simplify 0 into 0 9.157 * [backup-simplify]: Simplify 1 into 1 9.157 * [backup-simplify]: Simplify (/ -1 1) into -1 9.157 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 9.157 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1)) 9.157 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 0) into 0 9.158 * [backup-simplify]: Simplify (- 0) into 0 9.158 * [backup-simplify]: Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1)) 9.158 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 9.158 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 9.158 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 9.158 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2)) 9.158 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 0) into 0 9.159 * [backup-simplify]: Simplify (- 0) into 0 9.159 * [backup-simplify]: Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2)) 9.159 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))) 9.159 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))) into (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))) 9.159 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) into (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) 9.159 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in phi1 9.159 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 9.159 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 9.159 * [taylor]: Taking taylor expansion of -1 in phi1 9.159 * [backup-simplify]: Simplify -1 into -1 9.159 * [taylor]: Taking taylor expansion of phi1 in phi1 9.160 * [backup-simplify]: Simplify 0 into 0 9.160 * [backup-simplify]: Simplify 1 into 1 9.160 * [backup-simplify]: Simplify (/ -1 1) into -1 9.160 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 9.160 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in phi1 9.160 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 9.160 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 9.160 * [taylor]: Taking taylor expansion of -1 in phi1 9.160 * [backup-simplify]: Simplify -1 into -1 9.160 * [taylor]: Taking taylor expansion of lambda1 in phi1 9.160 * [backup-simplify]: Simplify lambda1 into lambda1 9.160 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 9.160 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 9.161 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 9.161 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in phi1 9.161 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 9.161 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 9.161 * [taylor]: Taking taylor expansion of -1 in phi1 9.161 * [backup-simplify]: Simplify -1 into -1 9.161 * [taylor]: Taking taylor expansion of phi2 in phi1 9.161 * [backup-simplify]: Simplify phi2 into phi2 9.161 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 9.161 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 9.161 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 9.161 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1 9.161 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 9.161 * [taylor]: Taking taylor expansion of -1 in phi1 9.161 * [backup-simplify]: Simplify -1 into -1 9.161 * [taylor]: Taking taylor expansion of lambda2 in phi1 9.161 * [backup-simplify]: Simplify lambda2 into lambda2 9.161 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 9.161 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 9.161 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 9.161 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 9.162 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 9.162 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 9.162 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2)) 9.162 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 0) into 0 9.162 * [backup-simplify]: Simplify (- 0) into 0 9.162 * [backup-simplify]: Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2)) 9.162 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 9.163 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 9.163 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 9.163 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))) 9.163 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))) into (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))) 9.163 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) into (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) 9.163 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in phi2 9.163 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 9.163 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 9.163 * [taylor]: Taking taylor expansion of -1 in phi2 9.163 * [backup-simplify]: Simplify -1 into -1 9.164 * [taylor]: Taking taylor expansion of phi1 in phi2 9.164 * [backup-simplify]: Simplify phi1 into phi1 9.164 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 9.164 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 9.164 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 9.164 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in phi2 9.164 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 9.164 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 9.164 * [taylor]: Taking taylor expansion of -1 in phi2 9.164 * [backup-simplify]: Simplify -1 into -1 9.164 * [taylor]: Taking taylor expansion of lambda1 in phi2 9.164 * [backup-simplify]: Simplify lambda1 into lambda1 9.164 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 9.164 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 9.164 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 9.164 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in phi2 9.164 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 9.164 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 9.164 * [taylor]: Taking taylor expansion of -1 in phi2 9.164 * [backup-simplify]: Simplify -1 into -1 9.164 * [taylor]: Taking taylor expansion of phi2 in phi2 9.164 * [backup-simplify]: Simplify 0 into 0 9.164 * [backup-simplify]: Simplify 1 into 1 9.165 * [backup-simplify]: Simplify (/ -1 1) into -1 9.165 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 9.165 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2 9.165 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 9.165 * [taylor]: Taking taylor expansion of -1 in phi2 9.165 * [backup-simplify]: Simplify -1 into -1 9.165 * [taylor]: Taking taylor expansion of lambda2 in phi2 9.165 * [backup-simplify]: Simplify lambda2 into lambda2 9.165 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 9.165 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 9.165 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 9.166 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1)) 9.166 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 0) into 0 9.166 * [backup-simplify]: Simplify (- 0) into 0 9.166 * [backup-simplify]: Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1)) 9.166 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 9.166 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 9.166 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 9.166 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 9.167 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 9.167 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 9.167 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))) 9.167 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))) into (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))) 9.167 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) into (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) 9.167 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) into (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) 9.168 * [backup-simplify]: Simplify (+ 0) into 0 9.168 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 9.169 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 9.169 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.170 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 9.170 * [backup-simplify]: Simplify (+ 0 0) into 0 9.171 * [backup-simplify]: Simplify (+ 0) into 0 9.171 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 1)) into 0 9.171 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 9.172 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.173 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 0)) into 0 9.173 * [backup-simplify]: Simplify (- 0) into 0 9.173 * [backup-simplify]: Simplify (+ 0 0) into 0 9.174 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 9.174 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) into 0 9.174 * [backup-simplify]: Simplify (+ 0) into 0 9.175 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0 9.175 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 9.175 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.176 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0 9.176 * [backup-simplify]: Simplify (- 0) into 0 9.177 * [backup-simplify]: Simplify (+ 0 0) into 0 9.177 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))))) into 0 9.177 * [taylor]: Taking taylor expansion of 0 in lambda2 9.177 * [backup-simplify]: Simplify 0 into 0 9.177 * [taylor]: Taking taylor expansion of 0 in phi1 9.177 * [backup-simplify]: Simplify 0 into 0 9.177 * [taylor]: Taking taylor expansion of 0 in phi2 9.177 * [backup-simplify]: Simplify 0 into 0 9.177 * [backup-simplify]: Simplify 0 into 0 9.178 * [backup-simplify]: Simplify (+ 0) into 0 9.178 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 1)) into 0 9.178 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 9.179 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.180 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 0)) into 0 9.180 * [backup-simplify]: Simplify (- 0) into 0 9.180 * [backup-simplify]: Simplify (+ 0 0) into 0 9.181 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 9.181 * [backup-simplify]: Simplify (+ 0) into 0 9.181 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 9.182 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 9.182 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.183 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 9.183 * [backup-simplify]: Simplify (+ 0 0) into 0 9.183 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) into 0 9.184 * [backup-simplify]: Simplify (+ 0) into 0 9.184 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0 9.184 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 9.185 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.186 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0 9.186 * [backup-simplify]: Simplify (- 0) into 0 9.186 * [backup-simplify]: Simplify (+ 0 0) into 0 9.187 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))))) into 0 9.187 * [taylor]: Taking taylor expansion of 0 in phi1 9.187 * [backup-simplify]: Simplify 0 into 0 9.187 * [taylor]: Taking taylor expansion of 0 in phi2 9.187 * [backup-simplify]: Simplify 0 into 0 9.187 * [backup-simplify]: Simplify 0 into 0 9.187 * [backup-simplify]: Simplify (+ 0) into 0 9.188 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 9.188 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 9.189 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.189 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 9.190 * [backup-simplify]: Simplify (+ 0 0) into 0 9.190 * [backup-simplify]: Simplify (+ 0) into 0 9.190 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 1)) into 0 9.191 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 9.191 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.192 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 0)) into 0 9.192 * [backup-simplify]: Simplify (- 0) into 0 9.192 * [backup-simplify]: Simplify (+ 0 0) into 0 9.192 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 9.192 * [backup-simplify]: Simplify (+ 0) into 0 9.193 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 9.193 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 9.193 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.194 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 9.194 * [backup-simplify]: Simplify (+ 0 0) into 0 9.194 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) into 0 9.194 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))))) into 0 9.194 * [taylor]: Taking taylor expansion of 0 in phi2 9.194 * [backup-simplify]: Simplify 0 into 0 9.194 * [backup-simplify]: Simplify 0 into 0 9.195 * [backup-simplify]: Simplify (+ 0) into 0 9.195 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 9.195 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 9.195 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.196 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 9.196 * [backup-simplify]: Simplify (+ 0 0) into 0 9.196 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 9.196 * [backup-simplify]: Simplify (+ 0) into 0 9.197 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 9.197 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 9.197 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.198 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 9.198 * [backup-simplify]: Simplify (+ 0 0) into 0 9.198 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) into 0 9.198 * [backup-simplify]: Simplify (+ 0) into 0 9.198 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0 9.199 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 9.199 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.199 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0 9.200 * [backup-simplify]: Simplify (- 0) into 0 9.200 * [backup-simplify]: Simplify (+ 0 0) into 0 9.200 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))))) into 0 9.200 * [backup-simplify]: Simplify 0 into 0 9.201 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.201 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 9.201 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 9.202 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.202 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 9.202 * [backup-simplify]: Simplify (+ 0 0) into 0 9.203 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.203 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 9.203 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 9.204 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.204 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 9.205 * [backup-simplify]: Simplify (- 0) into 0 9.205 * [backup-simplify]: Simplify (+ 0 0) into 0 9.205 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 9.205 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))))) into 0 9.206 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.206 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 9.207 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 9.207 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.207 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 9.208 * [backup-simplify]: Simplify (- 0) into 0 9.208 * [backup-simplify]: Simplify (+ 0 0) into 0 9.208 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))))) into 0 9.208 * [taylor]: Taking taylor expansion of 0 in lambda2 9.208 * [backup-simplify]: Simplify 0 into 0 9.208 * [taylor]: Taking taylor expansion of 0 in phi1 9.208 * [backup-simplify]: Simplify 0 into 0 9.208 * [taylor]: Taking taylor expansion of 0 in phi2 9.208 * [backup-simplify]: Simplify 0 into 0 9.208 * [backup-simplify]: Simplify 0 into 0 9.208 * [taylor]: Taking taylor expansion of 0 in phi1 9.208 * [backup-simplify]: Simplify 0 into 0 9.208 * [taylor]: Taking taylor expansion of 0 in phi2 9.208 * [backup-simplify]: Simplify 0 into 0 9.208 * [backup-simplify]: Simplify 0 into 0 9.209 * [backup-simplify]: Simplify (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (sin (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2))))))) into (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) 9.209 * * * [progress]: simplifying candidates 9.209 * * * * [progress]: [ 1 / 86 ] simplifiying candidate # 9.209 * [simplify]: Simplifying (/ PI 2) 9.209 * * [simplify]: iters left: 2 (3 enodes) 9.210 * * [simplify]: iters left: 1 (9 enodes) 9.211 * * [simplify]: Extracting #0: cost 1 inf + 0 9.211 * * [simplify]: Extracting #1: cost 4 inf + 0 9.211 * * [simplify]: Extracting #2: cost 2 inf + 2 9.211 * * [simplify]: Extracting #3: cost 0 inf + 86 9.212 * [simplify]: Simplified to (/ PI 2) 9.212 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R)) 9.212 * [simplify]: Simplifying (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) 9.212 * * [simplify]: iters left: 6 (21 enodes) 9.216 * * [simplify]: iters left: 5 (83 enodes) 9.233 * * [simplify]: iters left: 4 (150 enodes) 9.288 * * [simplify]: iters left: 3 (245 enodes) 9.347 * * [simplify]: iters left: 2 (291 enodes) 9.395 * * [simplify]: Extracting #0: cost 1 inf + 0 9.395 * * [simplify]: Extracting #1: cost 3 inf + 0 9.395 * * [simplify]: Extracting #2: cost 10 inf + 0 9.395 * * [simplify]: Extracting #3: cost 46 inf + 0 9.395 * * [simplify]: Extracting #4: cost 80 inf + 0 9.396 * * [simplify]: Extracting #5: cost 64 inf + 1140 9.397 * * [simplify]: Extracting #6: cost 16 inf + 12235 9.401 * * [simplify]: Extracting #7: cost 0 inf + 20078 9.405 * * [simplify]: Extracting #8: cost 0 inf + 19758 9.409 * [simplify]: Simplified to (asin (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi2))))) 9.409 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi2)))))) R)) 9.409 * * * * [progress]: [ 2 / 86 ] simplifiying candidate # 9.409 * * * * [progress]: [ 3 / 86 ] simplifiying candidate # 9.409 * [simplify]: Simplifying (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) 9.409 * * [simplify]: iters left: 6 (22 enodes) 9.414 * * [simplify]: iters left: 5 (86 enodes) 9.434 * * [simplify]: iters left: 4 (153 enodes) 9.489 * * [simplify]: iters left: 3 (249 enodes) 9.568 * * [simplify]: iters left: 2 (294 enodes) 9.621 * * [simplify]: Extracting #0: cost 1 inf + 0 9.621 * * [simplify]: Extracting #1: cost 3 inf + 0 9.621 * * [simplify]: Extracting #2: cost 5 inf + 0 9.621 * * [simplify]: Extracting #3: cost 12 inf + 0 9.621 * * [simplify]: Extracting #4: cost 48 inf + 0 9.622 * * [simplify]: Extracting #5: cost 82 inf + 0 9.622 * * [simplify]: Extracting #6: cost 64 inf + 1161 9.626 * * [simplify]: Extracting #7: cost 21 inf + 10846 9.629 * * [simplify]: Extracting #8: cost 4 inf + 18550 9.633 * * [simplify]: Extracting #9: cost 0 inf + 21816 9.637 * * [simplify]: Extracting #10: cost 0 inf + 21576 9.640 * [simplify]: Simplified to (log (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (cos phi1))))) 9.640 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (cos phi1)))))) R)) 9.641 * * * * [progress]: [ 4 / 86 ] simplifiying candidate # 9.641 * [simplify]: Simplifying (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) 9.641 * * [simplify]: iters left: 6 (22 enodes) 9.645 * * [simplify]: iters left: 5 (86 enodes) 9.659 * * [simplify]: iters left: 4 (153 enodes) 9.705 * * [simplify]: iters left: 3 (249 enodes) 9.766 * * [simplify]: iters left: 2 (294 enodes) 9.840 * * [simplify]: Extracting #0: cost 1 inf + 0 9.840 * * [simplify]: Extracting #1: cost 3 inf + 0 9.840 * * [simplify]: Extracting #2: cost 5 inf + 0 9.840 * * [simplify]: Extracting #3: cost 12 inf + 0 9.840 * * [simplify]: Extracting #4: cost 48 inf + 0 9.841 * * [simplify]: Extracting #5: cost 82 inf + 0 9.841 * * [simplify]: Extracting #6: cost 64 inf + 1161 9.843 * * [simplify]: Extracting #7: cost 21 inf + 10846 9.846 * * [simplify]: Extracting #8: cost 4 inf + 18550 9.849 * * [simplify]: Extracting #9: cost 0 inf + 21816 9.853 * * [simplify]: Extracting #10: cost 0 inf + 21576 9.856 * [simplify]: Simplified to (exp (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (cos phi1))))) 9.856 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (cos phi1)))))) R)) 9.857 * * * * [progress]: [ 5 / 86 ] simplifiying candidate # 9.857 * [simplify]: Simplifying (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) 9.857 * * [simplify]: iters left: 6 (23 enodes) 9.862 * * [simplify]: iters left: 5 (89 enodes) 9.881 * * [simplify]: iters left: 4 (156 enodes) 9.934 * * [simplify]: iters left: 3 (251 enodes) 9.987 * * [simplify]: iters left: 2 (294 enodes) 10.039 * * [simplify]: Extracting #0: cost 1 inf + 0 10.039 * * [simplify]: Extracting #1: cost 3 inf + 0 10.039 * * [simplify]: Extracting #2: cost 5 inf + 0 10.039 * * [simplify]: Extracting #3: cost 7 inf + 0 10.039 * * [simplify]: Extracting #4: cost 14 inf + 0 10.040 * * [simplify]: Extracting #5: cost 50 inf + 0 10.040 * * [simplify]: Extracting #6: cost 84 inf + 0 10.041 * * [simplify]: Extracting #7: cost 64 inf + 1485 10.044 * * [simplify]: Extracting #8: cost 29 inf + 9672 10.050 * * [simplify]: Extracting #9: cost 5 inf + 19114 10.057 * * [simplify]: Extracting #10: cost 1 inf + 22890 10.065 * * [simplify]: Extracting #11: cost 0 inf + 23624 10.070 * * [simplify]: Extracting #12: cost 0 inf + 23544 10.073 * [simplify]: Simplified to (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi2)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi2))))))) 10.073 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi2)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R)) 10.074 * [simplify]: Simplifying (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) 10.074 * * [simplify]: iters left: 6 (22 enodes) 10.078 * * [simplify]: iters left: 5 (86 enodes) 10.093 * * [simplify]: iters left: 4 (153 enodes) 10.145 * * [simplify]: iters left: 3 (249 enodes) 10.216 * * [simplify]: iters left: 2 (294 enodes) 10.270 * * [simplify]: Extracting #0: cost 1 inf + 0 10.270 * * [simplify]: Extracting #1: cost 3 inf + 0 10.270 * * [simplify]: Extracting #2: cost 5 inf + 0 10.270 * * [simplify]: Extracting #3: cost 12 inf + 0 10.270 * * [simplify]: Extracting #4: cost 48 inf + 0 10.271 * * [simplify]: Extracting #5: cost 82 inf + 0 10.271 * * [simplify]: Extracting #6: cost 64 inf + 1161 10.273 * * [simplify]: Extracting #7: cost 21 inf + 10846 10.277 * * [simplify]: Extracting #8: cost 4 inf + 18550 10.281 * * [simplify]: Extracting #9: cost 0 inf + 21836 10.284 * * [simplify]: Extracting #10: cost 0 inf + 21596 10.288 * [simplify]: Simplified to (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (cos phi1))))) 10.288 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (cos phi1)))))) R)) 10.288 * * * * [progress]: [ 6 / 86 ] simplifiying candidate # 10.288 * [simplify]: Simplifying (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) 10.288 * * [simplify]: iters left: 6 (23 enodes) 10.293 * * [simplify]: iters left: 5 (90 enodes) 10.315 * * [simplify]: iters left: 4 (159 enodes) 10.374 * * [simplify]: iters left: 3 (261 enodes) 10.429 * * [simplify]: iters left: 2 (316 enodes) 10.511 * * [simplify]: iters left: 1 (342 enodes) 10.557 * * [simplify]: Extracting #0: cost 1 inf + 0 10.557 * * [simplify]: Extracting #1: cost 9 inf + 0 10.557 * * [simplify]: Extracting #2: cost 18 inf + 1 10.557 * * [simplify]: Extracting #3: cost 26 inf + 3 10.557 * * [simplify]: Extracting #4: cost 62 inf + 4 10.558 * * [simplify]: Extracting #5: cost 95 inf + 5 10.559 * * [simplify]: Extracting #6: cost 83 inf + 800 10.561 * * [simplify]: Extracting #7: cost 42 inf + 9151 10.567 * * [simplify]: Extracting #8: cost 16 inf + 20001 10.580 * * [simplify]: Extracting #9: cost 2 inf + 35451 10.591 * * [simplify]: Extracting #10: cost 0 inf + 36399 10.599 * * [simplify]: Extracting #11: cost 0 inf + 36108 10.605 * [simplify]: Simplified to (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))))) 10.605 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))))) R)) 10.605 * * * * [progress]: [ 7 / 86 ] simplifiying candidate # 10.605 * [simplify]: Simplifying (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) 10.605 * * [simplify]: iters left: 6 (22 enodes) 10.610 * * [simplify]: iters left: 5 (86 enodes) 10.624 * * [simplify]: iters left: 4 (153 enodes) 10.675 * * [simplify]: iters left: 3 (249 enodes) 10.723 * * [simplify]: iters left: 2 (294 enodes) 10.764 * * [simplify]: Extracting #0: cost 1 inf + 0 10.764 * * [simplify]: Extracting #1: cost 3 inf + 0 10.764 * * [simplify]: Extracting #2: cost 5 inf + 0 10.764 * * [simplify]: Extracting #3: cost 12 inf + 0 10.765 * * [simplify]: Extracting #4: cost 48 inf + 0 10.765 * * [simplify]: Extracting #5: cost 82 inf + 0 10.765 * * [simplify]: Extracting #6: cost 64 inf + 1161 10.767 * * [simplify]: Extracting #7: cost 21 inf + 10846 10.773 * * [simplify]: Extracting #8: cost 4 inf + 18550 10.778 * * [simplify]: Extracting #9: cost 0 inf + 21756 10.781 * * [simplify]: Extracting #10: cost 0 inf + 21516 10.785 * [simplify]: Simplified to (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (cos phi1))))) 10.785 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (cos phi1))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R)) 10.785 * [simplify]: Simplifying (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) 10.786 * * [simplify]: iters left: 6 (22 enodes) 10.790 * * [simplify]: iters left: 5 (86 enodes) 10.804 * * [simplify]: iters left: 4 (153 enodes) 10.856 * * [simplify]: iters left: 3 (249 enodes) 10.907 * * [simplify]: iters left: 2 (294 enodes) 10.988 * * [simplify]: Extracting #0: cost 1 inf + 0 10.988 * * [simplify]: Extracting #1: cost 3 inf + 0 10.988 * * [simplify]: Extracting #2: cost 5 inf + 0 10.988 * * [simplify]: Extracting #3: cost 12 inf + 0 10.988 * * [simplify]: Extracting #4: cost 48 inf + 0 10.989 * * [simplify]: Extracting #5: cost 82 inf + 0 10.989 * * [simplify]: Extracting #6: cost 64 inf + 1161 10.993 * * [simplify]: Extracting #7: cost 21 inf + 10846 10.999 * * [simplify]: Extracting #8: cost 4 inf + 18550 11.006 * * [simplify]: Extracting #9: cost 0 inf + 21756 11.010 * * [simplify]: Extracting #10: cost 0 inf + 21516 11.014 * [simplify]: Simplified to (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (cos phi1))))) 11.014 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (cos phi1)))))) R)) 11.014 * * * * [progress]: [ 8 / 86 ] simplifiying candidate # 11.014 * * * * [progress]: [ 9 / 86 ] simplifiying candidate #real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))> 11.014 * [simplify]: Simplifying (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) 11.014 * * [simplify]: iters left: 6 (22 enodes) 11.019 * * [simplify]: iters left: 5 (83 enodes) 11.032 * * [simplify]: iters left: 4 (150 enodes) 11.071 * * [simplify]: iters left: 3 (245 enodes) 11.123 * * [simplify]: iters left: 2 (279 enodes) 11.185 * * [simplify]: Extracting #0: cost 1 inf + 0 11.185 * * [simplify]: Extracting #1: cost 2 inf + 0 11.185 * * [simplify]: Extracting #2: cost 3 inf + 0 11.186 * * [simplify]: Extracting #3: cost 10 inf + 0 11.186 * * [simplify]: Extracting #4: cost 46 inf + 0 11.186 * * [simplify]: Extracting #5: cost 80 inf + 0 11.187 * * [simplify]: Extracting #6: cost 62 inf + 1262 11.190 * * [simplify]: Extracting #7: cost 22 inf + 9758 11.196 * * [simplify]: Extracting #8: cost 1 inf + 19114 11.203 * * [simplify]: Extracting #9: cost 0 inf + 19808 11.210 * * [simplify]: Extracting #10: cost 0 inf + 19728 11.216 * [simplify]: Simplified to (real->posit16 (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))) 11.217 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (posit16->real (real->posit16 (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))))) R)) 11.217 * * * * [progress]: [ 10 / 86 ] simplifiying candidate # 11.217 * [simplify]: Simplifying (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) 11.217 * * [simplify]: iters left: 5 (7 enodes) 11.220 * * [simplify]: iters left: 4 (26 enodes) 11.227 * * [simplify]: iters left: 3 (32 enodes) 11.237 * * [simplify]: Extracting #0: cost 1 inf + 0 11.237 * * [simplify]: Extracting #1: cost 5 inf + 0 11.237 * * [simplify]: Extracting #2: cost 10 inf + 0 11.237 * * [simplify]: Extracting #3: cost 15 inf + 0 11.237 * * [simplify]: Extracting #4: cost 13 inf + 43 11.237 * * [simplify]: Extracting #5: cost 4 inf + 800 11.238 * * [simplify]: Extracting #6: cost 1 inf + 1186 11.238 * * [simplify]: Extracting #7: cost 0 inf + 1428 11.239 * [simplify]: Simplified to (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))) 11.239 * [simplify]: Simplified (2 1 1 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (/ (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))) 2) (* (cos phi1) (cos phi2)))))) R)) 11.239 * * * * [progress]: [ 11 / 86 ] simplifiying candidate # 11.240 * [simplify]: Simplifying (* (sin lambda1) (sin lambda2)) 11.240 * * [simplify]: iters left: 3 (5 enodes) 11.242 * * [simplify]: iters left: 2 (16 enodes) 11.246 * * [simplify]: Extracting #0: cost 1 inf + 0 11.246 * * [simplify]: Extracting #1: cost 4 inf + 0 11.246 * * [simplify]: Extracting #2: cost 8 inf + 0 11.246 * * [simplify]: Extracting #3: cost 4 inf + 124 11.246 * * [simplify]: Extracting #4: cost 0 inf + 570 11.246 * [simplify]: Simplified to (* (sin lambda2) (sin lambda1)) 11.247 * [simplify]: Simplified (2 1 1 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (pow (* (sin lambda2) (sin lambda1)) 1) (* (cos phi1) (cos phi2)))))) R)) 11.247 * * * * [progress]: [ 12 / 86 ] simplifiying candidate # 11.247 * * * * [progress]: [ 13 / 86 ] simplifiying candidate # 11.247 * [simplify]: Simplifying (+ (log (sin lambda1)) (log (sin lambda2))) 11.247 * * [simplify]: iters left: 4 (7 enodes) 11.250 * * [simplify]: iters left: 3 (22 enodes) 11.256 * * [simplify]: Extracting #0: cost 1 inf + 0 11.256 * * [simplify]: Extracting #1: cost 4 inf + 0 11.256 * * [simplify]: Extracting #2: cost 8 inf + 0 11.256 * * [simplify]: Extracting #3: cost 12 inf + 0 11.256 * * [simplify]: Extracting #4: cost 10 inf + 2 11.256 * * [simplify]: Extracting #5: cost 4 inf + 508 11.256 * * [simplify]: Extracting #6: cost 1 inf + 1072 11.257 * * [simplify]: Extracting #7: cost 0 inf + 1374 11.257 * [simplify]: Simplified to (+ (log (sin lambda2)) (log (sin lambda1))) 11.257 * [simplify]: Simplified (2 1 1 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (exp (+ (log (sin lambda2)) (log (sin lambda1)))) (* (cos phi1) (cos phi2)))))) R)) 11.257 * * * * [progress]: [ 14 / 86 ] simplifiying candidate # 11.258 * [simplify]: Simplifying (log (* (sin lambda1) (sin lambda2))) 11.258 * * [simplify]: iters left: 4 (6 enodes) 11.260 * * [simplify]: iters left: 3 (22 enodes) 11.262 * * [simplify]: iters left: 2 (27 enodes) 11.266 * * [simplify]: Extracting #0: cost 1 inf + 0 11.266 * * [simplify]: Extracting #1: cost 5 inf + 0 11.266 * * [simplify]: Extracting #2: cost 10 inf + 0 11.266 * * [simplify]: Extracting #3: cost 14 inf + 0 11.266 * * [simplify]: Extracting #4: cost 9 inf + 255 11.266 * * [simplify]: Extracting #5: cost 6 inf + 508 11.266 * * [simplify]: Extracting #6: cost 1 inf + 1326 11.266 * * [simplify]: Extracting #7: cost 0 inf + 1558 11.267 * [simplify]: Simplified to (log (* (sin lambda2) (sin lambda1))) 11.267 * [simplify]: Simplified (2 1 1 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (exp (log (* (sin lambda2) (sin lambda1)))) (* (cos phi1) (cos phi2)))))) R)) 11.267 * * * * [progress]: [ 15 / 86 ] simplifiying candidate # 11.267 * [simplify]: Simplifying (exp (* (sin lambda1) (sin lambda2))) 11.267 * * [simplify]: iters left: 4 (6 enodes) 11.268 * * [simplify]: iters left: 3 (21 enodes) 11.271 * * [simplify]: iters left: 2 (29 enodes) 11.275 * * [simplify]: iters left: 1 (42 enodes) 11.282 * * [simplify]: Extracting #0: cost 1 inf + 0 11.282 * * [simplify]: Extracting #1: cost 14 inf + 0 11.282 * * [simplify]: Extracting #2: cost 32 inf + 0 11.282 * * [simplify]: Extracting #3: cost 26 inf + 963 11.283 * * [simplify]: Extracting #4: cost 10 inf + 3532 11.283 * * [simplify]: Extracting #5: cost 2 inf + 6437 11.284 * * [simplify]: Extracting #6: cost 0 inf + 7614 11.285 * [simplify]: Simplified to (exp (* (sin lambda2) (sin lambda1))) 11.285 * [simplify]: Simplified (2 1 1 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (log (exp (* (sin lambda2) (sin lambda1)))) (* (cos phi1) (cos phi2)))))) R)) 11.285 * * * * [progress]: [ 16 / 86 ] simplifiying candidate # 11.285 * [simplify]: Simplifying (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) 11.285 * * [simplify]: iters left: 6 (9 enodes) 11.287 * * [simplify]: iters left: 5 (34 enodes) 11.298 * * [simplify]: iters left: 4 (63 enodes) 11.321 * * [simplify]: iters left: 3 (122 enodes) 11.361 * * [simplify]: iters left: 2 (196 enodes) 11.445 * * [simplify]: iters left: 1 (381 enodes) 11.642 * * [simplify]: Extracting #0: cost 1 inf + 0 11.642 * * [simplify]: Extracting #1: cost 74 inf + 0 11.643 * * [simplify]: Extracting #2: cost 184 inf + 1 11.645 * * [simplify]: Extracting #3: cost 149 inf + 6713 11.650 * * [simplify]: Extracting #4: cost 54 inf + 55652 11.659 * * [simplify]: Extracting #5: cost 0 inf + 88599 11.670 * * [simplify]: Extracting #6: cost 0 inf + 88519 11.689 * [simplify]: Simplified to (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (sin lambda2) (sin lambda1))) 11.689 * [simplify]: Simplified (2 1 1 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (cbrt (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (sin lambda2) (sin lambda1)))) (* (cos phi1) (cos phi2)))))) R)) 11.689 * * * * [progress]: [ 17 / 86 ] simplifiying candidate # 11.690 * [simplify]: Simplifying (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) 11.690 * * [simplify]: iters left: 6 (7 enodes) 11.693 * * [simplify]: iters left: 5 (22 enodes) 11.698 * * [simplify]: Extracting #0: cost 1 inf + 0 11.698 * * [simplify]: Extracting #1: cost 3 inf + 0 11.698 * * [simplify]: Extracting #2: cost 5 inf + 0 11.698 * * [simplify]: Extracting #3: cost 8 inf + 0 11.699 * * [simplify]: Extracting #4: cost 12 inf + 0 11.699 * * [simplify]: Extracting #5: cost 10 inf + 2 11.699 * * [simplify]: Extracting #6: cost 1 inf + 1336 11.699 * * [simplify]: Extracting #7: cost 0 inf + 1618 11.700 * [simplify]: Simplified to (* (cbrt (* (sin lambda2) (sin lambda1))) (cbrt (* (sin lambda2) (sin lambda1)))) 11.700 * [simplify]: Simplified (2 1 1 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (* (cbrt (* (sin lambda2) (sin lambda1))) (cbrt (* (sin lambda2) (sin lambda1)))) (cbrt (* (sin lambda1) (sin lambda2)))) (* (cos phi1) (cos phi2)))))) R)) 11.701 * [simplify]: Simplifying (cbrt (* (sin lambda1) (sin lambda2))) 11.701 * * [simplify]: iters left: 4 (6 enodes) 11.703 * * [simplify]: iters left: 3 (19 enodes) 11.708 * * [simplify]: Extracting #0: cost 1 inf + 0 11.708 * * [simplify]: Extracting #1: cost 3 inf + 0 11.708 * * [simplify]: Extracting #2: cost 6 inf + 0 11.708 * * [simplify]: Extracting #3: cost 10 inf + 0 11.708 * * [simplify]: Extracting #4: cost 6 inf + 124 11.708 * * [simplify]: Extracting #5: cost 0 inf + 1054 11.709 * [simplify]: Simplified to (cbrt (* (sin lambda2) (sin lambda1))) 11.709 * [simplify]: Simplified (2 1 1 2 2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda2) (sin lambda1)))) (* (cos phi1) (cos phi2)))))) R)) 11.709 * * * * [progress]: [ 18 / 86 ] simplifiying candidate # 11.709 * [simplify]: Simplifying (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) 11.709 * * [simplify]: iters left: 6 (7 enodes) 11.713 * * [simplify]: iters left: 5 (32 enodes) 11.724 * * [simplify]: iters left: 4 (72 enodes) 11.755 * * [simplify]: iters left: 3 (126 enodes) 11.780 * * [simplify]: iters left: 2 (157 enodes) 11.839 * * [simplify]: iters left: 1 (231 enodes) 11.906 * * [simplify]: Extracting #0: cost 1 inf + 0 11.906 * * [simplify]: Extracting #1: cost 35 inf + 0 11.907 * * [simplify]: Extracting #2: cost 95 inf + 1 11.908 * * [simplify]: Extracting #3: cost 77 inf + 2691 11.916 * * [simplify]: Extracting #4: cost 18 inf + 23450 11.924 * * [simplify]: Extracting #5: cost 0 inf + 32321 11.931 * [simplify]: Simplified to (* (* (sin lambda2) (sin lambda1)) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))) 11.932 * [simplify]: Simplified (2 1 1 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (cbrt (* (* (sin lambda2) (sin lambda1)) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))))) (* (cos phi1) (cos phi2)))))) R)) 11.932 * * * * [progress]: [ 19 / 86 ] simplifiying candidate # 11.932 * [simplify]: Simplifying (sqrt (* (sin lambda1) (sin lambda2))) 11.932 * * [simplify]: iters left: 4 (6 enodes) 11.935 * * [simplify]: iters left: 3 (19 enodes) 11.939 * * [simplify]: Extracting #0: cost 1 inf + 0 11.940 * * [simplify]: Extracting #1: cost 3 inf + 0 11.940 * * [simplify]: Extracting #2: cost 6 inf + 0 11.940 * * [simplify]: Extracting #3: cost 10 inf + 0 11.940 * * [simplify]: Extracting #4: cost 6 inf + 124 11.940 * * [simplify]: Extracting #5: cost 0 inf + 974 11.940 * [simplify]: Simplified to (sqrt (* (sin lambda2) (sin lambda1))) 11.940 * [simplify]: Simplified (2 1 1 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sqrt (* (sin lambda2) (sin lambda1))) (sqrt (* (sin lambda1) (sin lambda2)))) (* (cos phi1) (cos phi2)))))) R)) 11.941 * [simplify]: Simplifying (sqrt (* (sin lambda1) (sin lambda2))) 11.941 * * [simplify]: iters left: 4 (6 enodes) 11.944 * * [simplify]: iters left: 3 (19 enodes) 11.948 * * [simplify]: Extracting #0: cost 1 inf + 0 11.948 * * [simplify]: Extracting #1: cost 3 inf + 0 11.949 * * [simplify]: Extracting #2: cost 6 inf + 0 11.949 * * [simplify]: Extracting #3: cost 10 inf + 0 11.949 * * [simplify]: Extracting #4: cost 6 inf + 124 11.949 * * [simplify]: Extracting #5: cost 0 inf + 974 11.949 * [simplify]: Simplified to (sqrt (* (sin lambda2) (sin lambda1))) 11.949 * [simplify]: Simplified (2 1 1 2 2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda2) (sin lambda1)))) (* (cos phi1) (cos phi2)))))) R)) 11.950 * * * * [progress]: [ 20 / 86 ] simplifiying candidate # 11.950 * * * * [progress]: [ 21 / 86 ] simplifiying candidate # 11.950 * [simplify]: Simplifying (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) 11.950 * * [simplify]: iters left: 4 (7 enodes) 11.953 * * [simplify]: iters left: 3 (22 enodes) 11.959 * * [simplify]: Extracting #0: cost 1 inf + 0 11.959 * * [simplify]: Extracting #1: cost 4 inf + 0 11.959 * * [simplify]: Extracting #2: cost 8 inf + 0 11.959 * * [simplify]: Extracting #3: cost 12 inf + 0 11.959 * * [simplify]: Extracting #4: cost 10 inf + 2 11.959 * * [simplify]: Extracting #5: cost 4 inf + 448 11.959 * * [simplify]: Extracting #6: cost 1 inf + 892 11.960 * * [simplify]: Extracting #7: cost 0 inf + 1134 11.960 * [simplify]: Simplified to (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) 11.960 * [simplify]: Simplified (2 1 1 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2)))) (* (cos phi1) (cos phi2)))))) R)) 11.961 * [simplify]: Simplifying (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) 11.961 * * [simplify]: iters left: 4 (7 enodes) 11.964 * * [simplify]: iters left: 3 (22 enodes) 11.970 * * [simplify]: Extracting #0: cost 1 inf + 0 11.970 * * [simplify]: Extracting #1: cost 4 inf + 0 11.970 * * [simplify]: Extracting #2: cost 8 inf + 0 11.970 * * [simplify]: Extracting #3: cost 12 inf + 0 11.970 * * [simplify]: Extracting #4: cost 10 inf + 2 11.970 * * [simplify]: Extracting #5: cost 4 inf + 448 11.971 * * [simplify]: Extracting #6: cost 1 inf + 892 11.971 * * [simplify]: Extracting #7: cost 0 inf + 1134 11.971 * [simplify]: Simplified to (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) 11.971 * [simplify]: Simplified (2 1 1 2 2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2)))) (* (cos phi1) (cos phi2)))))) R)) 11.972 * * * * [progress]: [ 22 / 86 ] simplifiying candidate # 11.972 * [simplify]: Simplifying (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) 11.972 * * [simplify]: iters left: 6 (7 enodes) 11.975 * * [simplify]: iters left: 5 (24 enodes) 11.982 * * [simplify]: iters left: 4 (28 enodes) 11.989 * * [simplify]: Extracting #0: cost 1 inf + 0 11.989 * * [simplify]: Extracting #1: cost 6 inf + 0 11.989 * * [simplify]: Extracting #2: cost 12 inf + 0 11.989 * * [simplify]: Extracting #3: cost 13 inf + 1 11.989 * * [simplify]: Extracting #4: cost 8 inf + 246 11.989 * * [simplify]: Extracting #5: cost 3 inf + 1193 11.990 * * [simplify]: Extracting #6: cost 1 inf + 1656 11.990 * * [simplify]: Extracting #7: cost 0 inf + 1938 11.991 * [simplify]: Simplified to (* (* (sin lambda1) (cbrt (sin lambda2))) (cbrt (sin lambda2))) 11.991 * [simplify]: Simplified (2 1 1 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (* (* (sin lambda1) (cbrt (sin lambda2))) (cbrt (sin lambda2))) (cbrt (sin lambda2))) (* (cos phi1) (cos phi2)))))) R)) 11.991 * * * * [progress]: [ 23 / 86 ] simplifiying candidate # 11.992 * [simplify]: Simplifying (* (sin lambda1) (sqrt (sin lambda2))) 11.992 * * [simplify]: iters left: 4 (6 enodes) 11.994 * * [simplify]: iters left: 3 (19 enodes) 11.999 * * [simplify]: Extracting #0: cost 1 inf + 0 11.999 * * [simplify]: Extracting #1: cost 4 inf + 0 11.999 * * [simplify]: Extracting #2: cost 8 inf + 0 11.999 * * [simplify]: Extracting #3: cost 9 inf + 1 11.999 * * [simplify]: Extracting #4: cost 0 inf + 852 11.999 * [simplify]: Simplified to (* (sin lambda1) (sqrt (sin lambda2))) 11.999 * [simplify]: Simplified (2 1 1 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (* (sin lambda1) (sqrt (sin lambda2))) (sqrt (sin lambda2))) (* (cos phi1) (cos phi2)))))) R)) 12.000 * * * * [progress]: [ 24 / 86 ] simplifiying candidate # 12.000 * [simplify]: Simplifying (* (sin lambda1) 1) 12.000 * * [simplify]: iters left: 3 (4 enodes) 12.001 * * [simplify]: iters left: 2 (13 enodes) 12.004 * * [simplify]: iters left: 1 (17 enodes) 12.006 * * [simplify]: Extracting #0: cost 1 inf + 0 12.006 * * [simplify]: Extracting #1: cost 4 inf + 0 12.006 * * [simplify]: Extracting #2: cost 0 inf + 124 12.006 * [simplify]: Simplified to (sin lambda1) 12.006 * [simplify]: Simplified (2 1 1 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)) 12.007 * * * * [progress]: [ 25 / 86 ] simplifiying candidate # 12.007 * [simplify]: Simplifying (* (cbrt (sin lambda1)) (sin lambda2)) 12.007 * * [simplify]: iters left: 4 (6 enodes) 12.008 * * [simplify]: iters left: 3 (19 enodes) 12.011 * * [simplify]: Extracting #0: cost 1 inf + 0 12.011 * * [simplify]: Extracting #1: cost 4 inf + 0 12.011 * * [simplify]: Extracting #2: cost 8 inf + 0 12.011 * * [simplify]: Extracting #3: cost 7 inf + 123 12.011 * * [simplify]: Extracting #4: cost 6 inf + 124 12.011 * * [simplify]: Extracting #5: cost 0 inf + 1012 12.011 * [simplify]: Simplified to (* (sin lambda2) (cbrt (sin lambda1))) 12.011 * [simplify]: Simplified (2 1 1 2 2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (* (cbrt (sin lambda1)) (cbrt (sin lambda1))) (* (sin lambda2) (cbrt (sin lambda1)))) (* (cos phi1) (cos phi2)))))) R)) 12.011 * * * * [progress]: [ 26 / 86 ] simplifiying candidate # 12.011 * [simplify]: Simplifying (* (sqrt (sin lambda1)) (sin lambda2)) 12.011 * * [simplify]: iters left: 4 (6 enodes) 12.013 * * [simplify]: iters left: 3 (19 enodes) 12.015 * * [simplify]: Extracting #0: cost 1 inf + 0 12.015 * * [simplify]: Extracting #1: cost 4 inf + 0 12.015 * * [simplify]: Extracting #2: cost 8 inf + 0 12.015 * * [simplify]: Extracting #3: cost 7 inf + 123 12.015 * * [simplify]: Extracting #4: cost 6 inf + 124 12.015 * * [simplify]: Extracting #5: cost 0 inf + 852 12.015 * [simplify]: Simplified to (* (sin lambda2) (sqrt (sin lambda1))) 12.015 * [simplify]: Simplified (2 1 1 2 2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sqrt (sin lambda1)) (* (sin lambda2) (sqrt (sin lambda1)))) (* (cos phi1) (cos phi2)))))) R)) 12.015 * * * * [progress]: [ 27 / 86 ] simplifiying candidate # 12.016 * [simplify]: Simplifying (* (sin lambda1) (sin lambda2)) 12.016 * * [simplify]: iters left: 3 (5 enodes) 12.017 * * [simplify]: iters left: 2 (16 enodes) 12.019 * * [simplify]: Extracting #0: cost 1 inf + 0 12.019 * * [simplify]: Extracting #1: cost 4 inf + 0 12.019 * * [simplify]: Extracting #2: cost 8 inf + 0 12.019 * * [simplify]: Extracting #3: cost 4 inf + 124 12.019 * * [simplify]: Extracting #4: cost 0 inf + 570 12.019 * [simplify]: Simplified to (* (sin lambda2) (sin lambda1)) 12.019 * [simplify]: Simplified (2 1 1 2 2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* 1 (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2)))))) R)) 12.019 * * * * [progress]: [ 28 / 86 ] simplifiying candidate #real (real->posit16 (* (sin lambda1) (sin lambda2)))) (* (cos phi1) (cos phi2)))))) R))> 12.019 * [simplify]: Simplifying (real->posit16 (* (sin lambda1) (sin lambda2))) 12.019 * * [simplify]: iters left: 4 (6 enodes) 12.021 * * [simplify]: iters left: 3 (16 enodes) 12.023 * * [simplify]: Extracting #0: cost 1 inf + 0 12.023 * * [simplify]: Extracting #1: cost 2 inf + 0 12.023 * * [simplify]: Extracting #2: cost 4 inf + 0 12.023 * * [simplify]: Extracting #3: cost 8 inf + 0 12.023 * * [simplify]: Extracting #4: cost 4 inf + 124 12.023 * * [simplify]: Extracting #5: cost 0 inf + 570 12.023 * [simplify]: Simplified to (real->posit16 (* (sin lambda2) (sin lambda1))) 12.023 * [simplify]: Simplified (2 1 1 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (posit16->real (real->posit16 (* (sin lambda2) (sin lambda1)))) (* (cos phi1) (cos phi2)))))) R)) 12.023 * * * * [progress]: [ 29 / 86 ] simplifiying candidate # 12.023 * * * * [progress]: [ 30 / 86 ] simplifiying candidate # 12.023 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R) 12.023 * * [simplify]: iters left: 6 (23 enodes) 12.028 * * [simplify]: iters left: 5 (90 enodes) 12.044 * * [simplify]: iters left: 4 (157 enodes) 12.079 * * [simplify]: iters left: 3 (253 enodes) 12.163 * * [simplify]: iters left: 2 (298 enodes) 12.219 * * [simplify]: Extracting #0: cost 1 inf + 0 12.219 * * [simplify]: Extracting #1: cost 4 inf + 0 12.219 * * [simplify]: Extracting #2: cost 5 inf + 1 12.219 * * [simplify]: Extracting #3: cost 12 inf + 1 12.219 * * [simplify]: Extracting #4: cost 48 inf + 1 12.220 * * [simplify]: Extracting #5: cost 82 inf + 1 12.220 * * [simplify]: Extracting #6: cost 60 inf + 1810 12.222 * * [simplify]: Extracting #7: cost 25 inf + 10199 12.226 * * [simplify]: Extracting #8: cost 3 inf + 19827 12.235 * * [simplify]: Extracting #9: cost 0 inf + 21679 12.242 * * [simplify]: Extracting #10: cost 0 inf + 21519 12.250 * [simplify]: Simplified to (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R) 12.250 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R) 1)) 12.250 * * * * [progress]: [ 31 / 86 ] simplifiying candidate # 12.250 * * * * [progress]: [ 32 / 86 ] simplifiying candidate # 12.250 * [simplify]: Simplifying (+ (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (log R)) 12.251 * * [simplify]: iters left: 6 (25 enodes) 12.256 * * [simplify]: iters left: 5 (96 enodes) 12.271 * * [simplify]: iters left: 4 (163 enodes) 12.300 * * [simplify]: iters left: 3 (258 enodes) 12.374 * * [simplify]: iters left: 2 (299 enodes) 12.430 * * [simplify]: Extracting #0: cost 1 inf + 0 12.430 * * [simplify]: Extracting #1: cost 4 inf + 0 12.430 * * [simplify]: Extracting #2: cost 8 inf + 0 12.430 * * [simplify]: Extracting #3: cost 7 inf + 143 12.430 * * [simplify]: Extracting #4: cost 14 inf + 143 12.430 * * [simplify]: Extracting #5: cost 50 inf + 143 12.431 * * [simplify]: Extracting #6: cost 84 inf + 143 12.432 * * [simplify]: Extracting #7: cost 66 inf + 1506 12.435 * * [simplify]: Extracting #8: cost 23 inf + 10766 12.440 * * [simplify]: Extracting #9: cost 10 inf + 15507 12.447 * * [simplify]: Extracting #10: cost 4 inf + 19871 12.451 * * [simplify]: Extracting #11: cost 1 inf + 22754 12.455 * * [simplify]: Extracting #12: cost 0 inf + 23789 12.458 * [simplify]: Simplified to (+ (log (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2))))) (log R)) 12.459 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2))))) (log R)))) 12.459 * * * * [progress]: [ 33 / 86 ] simplifiying candidate # 12.459 * [simplify]: Simplifying (log (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)) 12.459 * * [simplify]: iters left: 6 (24 enodes) 12.464 * * [simplify]: iters left: 5 (96 enodes) 12.481 * * [simplify]: iters left: 4 (168 enodes) 12.527 * * [simplify]: iters left: 3 (263 enodes) 12.582 * * [simplify]: iters left: 2 (297 enodes) 12.634 * * [simplify]: Extracting #0: cost 1 inf + 0 12.634 * * [simplify]: Extracting #1: cost 5 inf + 0 12.634 * * [simplify]: Extracting #2: cost 10 inf + 0 12.635 * * [simplify]: Extracting #3: cost 10 inf + 72 12.635 * * [simplify]: Extracting #4: cost 16 inf + 143 12.635 * * [simplify]: Extracting #5: cost 52 inf + 143 12.635 * * [simplify]: Extracting #6: cost 86 inf + 143 12.635 * * [simplify]: Extracting #7: cost 67 inf + 1466 12.637 * * [simplify]: Extracting #8: cost 25 inf + 10987 12.640 * * [simplify]: Extracting #9: cost 11 inf + 16071 12.643 * * [simplify]: Extracting #10: cost 5 inf + 20836 12.647 * * [simplify]: Extracting #11: cost 0 inf + 25439 12.652 * [simplify]: Simplified to (log (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi2))))) R)) 12.652 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi2))))) R)))) 12.652 * * * * [progress]: [ 34 / 86 ] simplifiying candidate # 12.652 * [simplify]: Simplifying (exp (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)) 12.652 * * [simplify]: iters left: 6 (24 enodes) 12.657 * * [simplify]: iters left: 5 (95 enodes) 12.686 * * [simplify]: iters left: 4 (170 enodes) 12.717 * * [simplify]: iters left: 3 (278 enodes) 12.806 * * [simplify]: iters left: 2 (341 enodes) 12.902 * * [simplify]: iters left: 1 (403 enodes) 13.001 * * [simplify]: Extracting #0: cost 1 inf + 0 13.001 * * [simplify]: Extracting #1: cost 21 inf + 0 13.001 * * [simplify]: Extracting #2: cost 71 inf + 73 13.001 * * [simplify]: Extracting #3: cost 91 inf + 479 13.002 * * [simplify]: Extracting #4: cost 109 inf + 1963 13.003 * * [simplify]: Extracting #5: cost 137 inf + 2335 13.004 * * [simplify]: Extracting #6: cost 127 inf + 2766 13.005 * * [simplify]: Extracting #7: cost 107 inf + 5400 13.008 * * [simplify]: Extracting #8: cost 68 inf + 15843 13.013 * * [simplify]: Extracting #9: cost 55 inf + 24386 13.023 * * [simplify]: Extracting #10: cost 23 inf + 59476 13.046 * * [simplify]: Extracting #11: cost 3 inf + 88922 13.060 * * [simplify]: Extracting #12: cost 0 inf + 93574 13.075 * [simplify]: Simplified to (exp (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))))) R)) 13.075 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (log (exp (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))))) R)))) 13.075 * * * * [progress]: [ 35 / 86 ] simplifiying candidate # 13.075 * [simplify]: Simplifying (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (* (* R R) R)) 13.075 * * [simplify]: iters left: 6 (27 enodes) 13.087 * * [simplify]: iters left: 5 (108 enodes) 13.118 * * [simplify]: iters left: 4 (204 enodes) 13.171 * * [simplify]: iters left: 3 (355 enodes) 13.275 * * [simplify]: iters left: 2 (494 enodes) 13.418 * * [simplify]: Extracting #0: cost 1 inf + 0 13.418 * * [simplify]: Extracting #1: cost 33 inf + 0 13.418 * * [simplify]: Extracting #2: cost 81 inf + 255 13.419 * * [simplify]: Extracting #3: cost 82 inf + 1055 13.420 * * [simplify]: Extracting #4: cost 115 inf + 1349 13.422 * * [simplify]: Extracting #5: cost 148 inf + 1561 13.423 * * [simplify]: Extracting #6: cost 138 inf + 2032 13.426 * * [simplify]: Extracting #7: cost 107 inf + 6953 13.433 * * [simplify]: Extracting #8: cost 71 inf + 21583 13.453 * * [simplify]: Extracting #9: cost 32 inf + 63032 13.490 * * [simplify]: Extracting #10: cost 1 inf + 101430 13.511 * * [simplify]: Extracting #11: cost 0 inf + 98070 13.530 * * [simplify]: Extracting #12: cost 0 inf + 97728 13.570 * [simplify]: Simplified to (* (* (* R (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2)))))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))))))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))))))) 13.571 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* R (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2)))))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))))))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))))))))) 13.571 * * * * [progress]: [ 36 / 86 ] simplifiying candidate # 13.571 * [simplify]: Simplifying (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))) 13.572 * * [simplify]: iters left: 6 (25 enodes) 13.582 * * [simplify]: iters left: 5 (96 enodes) 13.608 * * [simplify]: iters left: 4 (163 enodes) 13.640 * * [simplify]: iters left: 3 (258 enodes) 13.723 * * [simplify]: iters left: 2 (299 enodes) 13.776 * * [simplify]: Extracting #0: cost 1 inf + 0 13.776 * * [simplify]: Extracting #1: cost 3 inf + 0 13.776 * * [simplify]: Extracting #2: cost 5 inf + 0 13.776 * * [simplify]: Extracting #3: cost 8 inf + 0 13.776 * * [simplify]: Extracting #4: cost 9 inf + 1 13.776 * * [simplify]: Extracting #5: cost 16 inf + 1 13.776 * * [simplify]: Extracting #6: cost 52 inf + 1 13.777 * * [simplify]: Extracting #7: cost 86 inf + 1 13.777 * * [simplify]: Extracting #8: cost 68 inf + 1364 13.781 * * [simplify]: Extracting #9: cost 25 inf + 10624 13.786 * * [simplify]: Extracting #10: cost 12 inf + 15365 13.793 * * [simplify]: Extracting #11: cost 5 inf + 20624 13.798 * * [simplify]: Extracting #12: cost 1 inf + 24484 13.802 * * [simplify]: Extracting #13: cost 0 inf + 25499 13.806 * [simplify]: Simplified to (* (cbrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)))) R)) (cbrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)))) R))) 13.806 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)))) R)) (cbrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)))) 13.807 * [simplify]: Simplifying (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)) 13.807 * * [simplify]: iters left: 6 (24 enodes) 13.812 * * [simplify]: iters left: 5 (93 enodes) 13.837 * * [simplify]: iters left: 4 (160 enodes) 13.873 * * [simplify]: iters left: 3 (255 enodes) 13.924 * * [simplify]: iters left: 2 (292 enodes) 14.003 * * [simplify]: Extracting #0: cost 1 inf + 0 14.003 * * [simplify]: Extracting #1: cost 3 inf + 0 14.003 * * [simplify]: Extracting #2: cost 6 inf + 0 14.003 * * [simplify]: Extracting #3: cost 7 inf + 1 14.003 * * [simplify]: Extracting #4: cost 14 inf + 1 14.003 * * [simplify]: Extracting #5: cost 50 inf + 1 14.004 * * [simplify]: Extracting #6: cost 84 inf + 1 14.004 * * [simplify]: Extracting #7: cost 67 inf + 1101 14.007 * * [simplify]: Extracting #8: cost 30 inf + 9149 14.012 * * [simplify]: Extracting #9: cost 5 inf + 19936 14.016 * * [simplify]: Extracting #10: cost 0 inf + 23709 14.020 * * [simplify]: Extracting #11: cost 0 inf + 23469 14.024 * [simplify]: Simplified to (cbrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))))) R)) 14.024 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))) (cbrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))))) R)))) 14.024 * * * * [progress]: [ 37 / 86 ] simplifiying candidate # 14.024 * [simplify]: Simplifying (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)) 14.025 * * [simplify]: iters left: 6 (25 enodes) 14.030 * * [simplify]: iters left: 5 (106 enodes) 14.056 * * [simplify]: iters left: 4 (213 enodes) 14.109 * * [simplify]: iters left: 3 (358 enodes) 14.211 * * [simplify]: iters left: 2 (432 enodes) 14.297 * * [simplify]: Extracting #0: cost 1 inf + 0 14.297 * * [simplify]: Extracting #1: cost 30 inf + 0 14.297 * * [simplify]: Extracting #2: cost 58 inf + 43 14.298 * * [simplify]: Extracting #3: cost 61 inf + 248 14.298 * * [simplify]: Extracting #4: cost 94 inf + 673 14.299 * * [simplify]: Extracting #5: cost 127 inf + 885 14.303 * * [simplify]: Extracting #6: cost 117 inf + 1457 14.307 * * [simplify]: Extracting #7: cost 73 inf + 16020 14.330 * * [simplify]: Extracting #8: cost 10 inf + 63645 14.360 * * [simplify]: Extracting #9: cost 0 inf + 74108 14.387 * * [simplify]: Extracting #10: cost 0 inf + 71468 14.415 * * [simplify]: Extracting #11: cost 0 inf + 70428 14.442 * * [simplify]: Extracting #12: cost 0 inf + 70388 14.469 * [simplify]: Simplified to (* (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R)) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R)) 14.469 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R)) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R)))) 14.469 * * * * [progress]: [ 38 / 86 ] simplifiying candidate # 14.470 * [simplify]: Simplifying (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)) 14.470 * * [simplify]: iters left: 6 (24 enodes) 14.480 * * [simplify]: iters left: 5 (93 enodes) 14.510 * * [simplify]: iters left: 4 (160 enodes) 14.549 * * [simplify]: iters left: 3 (255 enodes) 14.597 * * [simplify]: iters left: 2 (292 enodes) 14.649 * * [simplify]: Extracting #0: cost 1 inf + 0 14.649 * * [simplify]: Extracting #1: cost 3 inf + 0 14.649 * * [simplify]: Extracting #2: cost 6 inf + 0 14.649 * * [simplify]: Extracting #3: cost 7 inf + 1 14.649 * * [simplify]: Extracting #4: cost 14 inf + 1 14.649 * * [simplify]: Extracting #5: cost 50 inf + 1 14.649 * * [simplify]: Extracting #6: cost 84 inf + 1 14.650 * * [simplify]: Extracting #7: cost 67 inf + 1101 14.651 * * [simplify]: Extracting #8: cost 30 inf + 9149 14.654 * * [simplify]: Extracting #9: cost 5 inf + 19936 14.658 * * [simplify]: Extracting #10: cost 0 inf + 23629 14.663 * * [simplify]: Extracting #11: cost 0 inf + 23389 14.666 * [simplify]: Simplified to (sqrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))))) R)) 14.666 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)))) 14.667 * [simplify]: Simplifying (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)) 14.667 * * [simplify]: iters left: 6 (24 enodes) 14.672 * * [simplify]: iters left: 5 (93 enodes) 14.697 * * [simplify]: iters left: 4 (160 enodes) 14.730 * * [simplify]: iters left: 3 (255 enodes) 14.777 * * [simplify]: iters left: 2 (292 enodes) 14.824 * * [simplify]: Extracting #0: cost 1 inf + 0 14.824 * * [simplify]: Extracting #1: cost 3 inf + 0 14.824 * * [simplify]: Extracting #2: cost 6 inf + 0 14.824 * * [simplify]: Extracting #3: cost 7 inf + 1 14.824 * * [simplify]: Extracting #4: cost 14 inf + 1 14.824 * * [simplify]: Extracting #5: cost 50 inf + 1 14.824 * * [simplify]: Extracting #6: cost 84 inf + 1 14.825 * * [simplify]: Extracting #7: cost 67 inf + 1101 14.826 * * [simplify]: Extracting #8: cost 30 inf + 9149 14.829 * * [simplify]: Extracting #9: cost 5 inf + 19936 14.833 * * [simplify]: Extracting #10: cost 0 inf + 23629 14.837 * * [simplify]: Extracting #11: cost 0 inf + 23389 14.841 * [simplify]: Simplified to (sqrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))))) R)) 14.841 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)) (sqrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))))) R)))) 14.841 * * * * [progress]: [ 39 / 86 ] simplifiying candidate # 14.841 * * * * [progress]: [ 40 / 86 ] simplifiying candidate # 14.841 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt R)) 14.842 * * [simplify]: iters left: 6 (25 enodes) 14.851 * * [simplify]: iters left: 5 (96 enodes) 14.874 * * [simplify]: iters left: 4 (163 enodes) 14.909 * * [simplify]: iters left: 3 (258 enodes) 14.959 * * [simplify]: iters left: 2 (299 enodes) 15.003 * * [simplify]: Extracting #0: cost 1 inf + 0 15.003 * * [simplify]: Extracting #1: cost 4 inf + 0 15.003 * * [simplify]: Extracting #2: cost 8 inf + 0 15.003 * * [simplify]: Extracting #3: cost 7 inf + 83 15.003 * * [simplify]: Extracting #4: cost 14 inf + 83 15.004 * * [simplify]: Extracting #5: cost 50 inf + 83 15.004 * * [simplify]: Extracting #6: cost 84 inf + 83 15.005 * * [simplify]: Extracting #7: cost 66 inf + 1446 15.008 * * [simplify]: Extracting #8: cost 23 inf + 10706 15.014 * * [simplify]: Extracting #9: cost 10 inf + 15447 15.020 * * [simplify]: Extracting #10: cost 4 inf + 19811 15.027 * * [simplify]: Extracting #11: cost 1 inf + 22574 15.035 * * [simplify]: Extracting #12: cost 0 inf + 23549 15.042 * [simplify]: Simplified to (* (sqrt R) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)))))) 15.042 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt R) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt R)))) 15.043 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt R)) 15.043 * * [simplify]: iters left: 6 (25 enodes) 15.053 * * [simplify]: iters left: 5 (96 enodes) 15.069 * * [simplify]: iters left: 4 (163 enodes) 15.122 * * [simplify]: iters left: 3 (258 enodes) 15.200 * * [simplify]: iters left: 2 (299 enodes) 15.254 * * [simplify]: Extracting #0: cost 1 inf + 0 15.254 * * [simplify]: Extracting #1: cost 4 inf + 0 15.254 * * [simplify]: Extracting #2: cost 8 inf + 0 15.254 * * [simplify]: Extracting #3: cost 7 inf + 83 15.254 * * [simplify]: Extracting #4: cost 14 inf + 83 15.254 * * [simplify]: Extracting #5: cost 50 inf + 83 15.255 * * [simplify]: Extracting #6: cost 84 inf + 83 15.255 * * [simplify]: Extracting #7: cost 66 inf + 1446 15.257 * * [simplify]: Extracting #8: cost 23 inf + 10706 15.260 * * [simplify]: Extracting #9: cost 10 inf + 15447 15.263 * * [simplify]: Extracting #10: cost 4 inf + 19811 15.267 * * [simplify]: Extracting #11: cost 1 inf + 22574 15.271 * * [simplify]: Extracting #12: cost 0 inf + 23549 15.276 * [simplify]: Simplified to (* (sqrt R) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)))))) 15.276 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt R)) (* (sqrt R) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)))))))) 15.276 * * * * [progress]: [ 41 / 86 ] simplifiying candidate # 15.277 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (* (cbrt R) (cbrt R))) 15.277 * * [simplify]: iters left: 6 (25 enodes) 15.282 * * [simplify]: iters left: 5 (98 enodes) 15.298 * * [simplify]: iters left: 4 (169 enodes) 15.343 * * [simplify]: iters left: 3 (264 enodes) 15.402 * * [simplify]: iters left: 2 (299 enodes) 15.474 * * [simplify]: Extracting #0: cost 1 inf + 0 15.474 * * [simplify]: Extracting #1: cost 6 inf + 0 15.474 * * [simplify]: Extracting #2: cost 12 inf + 0 15.474 * * [simplify]: Extracting #3: cost 14 inf + 405 15.474 * * [simplify]: Extracting #4: cost 50 inf + 405 15.474 * * [simplify]: Extracting #5: cost 84 inf + 405 15.475 * * [simplify]: Extracting #6: cost 64 inf + 1991 15.476 * * [simplify]: Extracting #7: cost 29 inf + 9010 15.479 * * [simplify]: Extracting #8: cost 9 inf + 16474 15.482 * * [simplify]: Extracting #9: cost 3 inf + 21269 15.487 * * [simplify]: Extracting #10: cost 0 inf + 24113 15.491 * [simplify]: Simplified to (* (* (cbrt R) (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))) (cbrt R)) 15.491 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (cbrt R) (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))) (cbrt R)) (cbrt R))) 15.491 * * * * [progress]: [ 42 / 86 ] simplifiying candidate # 15.491 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (sqrt R)) 15.491 * * [simplify]: iters left: 6 (24 enodes) 15.497 * * [simplify]: iters left: 5 (93 enodes) 15.511 * * [simplify]: iters left: 4 (160 enodes) 15.556 * * [simplify]: iters left: 3 (255 enodes) 15.624 * * [simplify]: iters left: 2 (292 enodes) 15.680 * * [simplify]: Extracting #0: cost 1 inf + 0 15.680 * * [simplify]: Extracting #1: cost 4 inf + 0 15.680 * * [simplify]: Extracting #2: cost 8 inf + 0 15.680 * * [simplify]: Extracting #3: cost 12 inf + 83 15.680 * * [simplify]: Extracting #4: cost 48 inf + 83 15.680 * * [simplify]: Extracting #5: cost 82 inf + 83 15.681 * * [simplify]: Extracting #6: cost 65 inf + 1183 15.682 * * [simplify]: Extracting #7: cost 28 inf + 9231 15.685 * * [simplify]: Extracting #8: cost 2 inf + 21073 15.689 * * [simplify]: Extracting #9: cost 0 inf + 21681 15.693 * [simplify]: Simplified to (* (sqrt R) (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2)))))) 15.693 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt R) (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2)))))) (sqrt R))) 15.693 * * * * [progress]: [ 43 / 86 ] simplifiying candidate # 15.694 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) 1) 15.694 * * [simplify]: iters left: 6 (23 enodes) 15.703 * * [simplify]: iters left: 5 (90 enodes) 15.733 * * [simplify]: iters left: 4 (161 enodes) 15.786 * * [simplify]: iters left: 3 (258 enodes) 15.846 * * [simplify]: iters left: 2 (301 enodes) 15.901 * * [simplify]: Extracting #0: cost 1 inf + 0 15.901 * * [simplify]: Extracting #1: cost 4 inf + 0 15.901 * * [simplify]: Extracting #2: cost 10 inf + 1 15.901 * * [simplify]: Extracting #3: cost 46 inf + 1 15.902 * * [simplify]: Extracting #4: cost 80 inf + 1 15.902 * * [simplify]: Extracting #5: cost 64 inf + 1040 15.906 * * [simplify]: Extracting #6: cost 21 inf + 10982 15.912 * * [simplify]: Extracting #7: cost 1 inf + 18995 15.918 * * [simplify]: Extracting #8: cost 0 inf + 19769 15.925 * * [simplify]: Extracting #9: cost 0 inf + 19729 15.932 * [simplify]: Simplified to (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1))))) 15.932 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1))))) R)) 15.932 * * * * [progress]: [ 44 / 86 ] simplifiying candidate # 15.933 * [simplify]: Simplifying (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R) 15.933 * * [simplify]: iters left: 6 (24 enodes) 15.943 * * [simplify]: iters left: 5 (93 enodes) 15.971 * * [simplify]: iters left: 4 (160 enodes) 16.004 * * [simplify]: iters left: 3 (255 enodes) 16.085 * * [simplify]: iters left: 2 (292 enodes) 16.139 * * [simplify]: Extracting #0: cost 1 inf + 0 16.139 * * [simplify]: Extracting #1: cost 4 inf + 0 16.139 * * [simplify]: Extracting #2: cost 5 inf + 1 16.139 * * [simplify]: Extracting #3: cost 7 inf + 1 16.139 * * [simplify]: Extracting #4: cost 14 inf + 1 16.139 * * [simplify]: Extracting #5: cost 50 inf + 1 16.140 * * [simplify]: Extracting #6: cost 84 inf + 1 16.140 * * [simplify]: Extracting #7: cost 67 inf + 1101 16.143 * * [simplify]: Extracting #8: cost 30 inf + 9149 16.149 * * [simplify]: Extracting #9: cost 6 inf + 18961 16.154 * * [simplify]: Extracting #10: cost 0 inf + 23867 16.158 * * [simplify]: Extracting #11: cost 0 inf + 23547 16.163 * [simplify]: Simplified to (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2)))))) R) 16.163 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2)))))) R))) 16.163 * * * * [progress]: [ 45 / 86 ] simplifiying candidate # 16.163 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R) 16.163 * * [simplify]: iters left: 6 (24 enodes) 16.168 * * [simplify]: iters left: 5 (93 enodes) 16.183 * * [simplify]: iters left: 4 (160 enodes) 16.220 * * [simplify]: iters left: 3 (255 enodes) 16.283 * * [simplify]: iters left: 2 (292 enodes) 16.336 * * [simplify]: Extracting #0: cost 1 inf + 0 16.336 * * [simplify]: Extracting #1: cost 4 inf + 0 16.336 * * [simplify]: Extracting #2: cost 5 inf + 1 16.336 * * [simplify]: Extracting #3: cost 7 inf + 1 16.336 * * [simplify]: Extracting #4: cost 14 inf + 1 16.336 * * [simplify]: Extracting #5: cost 50 inf + 1 16.337 * * [simplify]: Extracting #6: cost 84 inf + 1 16.338 * * [simplify]: Extracting #7: cost 67 inf + 1101 16.340 * * [simplify]: Extracting #8: cost 30 inf + 9149 16.346 * * [simplify]: Extracting #9: cost 6 inf + 18961 16.354 * * [simplify]: Extracting #10: cost 0 inf + 23707 16.361 * * [simplify]: Extracting #11: cost 0 inf + 23387 16.369 * [simplify]: Simplified to (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2)))))) R) 16.369 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2)))))) R))) 16.369 * * * * [progress]: [ 46 / 86 ] simplifiying candidate # 16.370 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R) 16.370 * * [simplify]: iters left: 6 (23 enodes) 16.380 * * [simplify]: iters left: 5 (90 enodes) 16.405 * * [simplify]: iters left: 4 (157 enodes) 16.437 * * [simplify]: iters left: 3 (253 enodes) 16.485 * * [simplify]: iters left: 2 (298 enodes) 16.563 * * [simplify]: Extracting #0: cost 1 inf + 0 16.563 * * [simplify]: Extracting #1: cost 4 inf + 0 16.563 * * [simplify]: Extracting #2: cost 5 inf + 1 16.563 * * [simplify]: Extracting #3: cost 12 inf + 1 16.564 * * [simplify]: Extracting #4: cost 48 inf + 1 16.564 * * [simplify]: Extracting #5: cost 82 inf + 1 16.565 * * [simplify]: Extracting #6: cost 60 inf + 1810 16.568 * * [simplify]: Extracting #7: cost 25 inf + 10199 16.575 * * [simplify]: Extracting #8: cost 3 inf + 19827 16.582 * * [simplify]: Extracting #9: cost 0 inf + 21679 16.589 * * [simplify]: Extracting #10: cost 0 inf + 21519 16.596 * [simplify]: Simplified to (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R) 16.596 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R))) 16.597 * * * * [progress]: [ 47 / 86 ] simplifiying candidate #real (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))))> 16.597 * [simplify]: Simplifying (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)) 16.597 * * [simplify]: iters left: 6 (24 enodes) 16.608 * * [simplify]: iters left: 5 (90 enodes) 16.633 * * [simplify]: iters left: 4 (157 enodes) 16.662 * * [simplify]: iters left: 3 (253 enodes) 16.738 * * [simplify]: iters left: 2 (287 enodes) 16.817 * * [simplify]: Extracting #0: cost 1 inf + 0 16.817 * * [simplify]: Extracting #1: cost 2 inf + 0 16.817 * * [simplify]: Extracting #2: cost 4 inf + 0 16.817 * * [simplify]: Extracting #3: cost 5 inf + 1 16.817 * * [simplify]: Extracting #4: cost 12 inf + 1 16.817 * * [simplify]: Extracting #5: cost 48 inf + 1 16.818 * * [simplify]: Extracting #6: cost 82 inf + 1 16.818 * * [simplify]: Extracting #7: cost 65 inf + 1202 16.821 * * [simplify]: Extracting #8: cost 30 inf + 7979 16.826 * * [simplify]: Extracting #9: cost 7 inf + 16030 16.833 * * [simplify]: Extracting #10: cost 1 inf + 20624 16.840 * * [simplify]: Extracting #11: cost 0 inf + 21519 16.847 * [simplify]: Simplified to (real->posit16 (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))))) R)) 16.847 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (posit16->real (real->posit16 (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))))) R)))) 16.847 * * * * [progress]: [ 48 / 86 ] simplifiying candidate # 16.848 * * * * [progress]: [ 49 / 86 ] simplifiying candidate # 16.848 * [simplify]: Simplifying (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) 16.848 * * [simplify]: iters left: 5 (11 enodes) 16.853 * * [simplify]: iters left: 4 (40 enodes) 16.864 * * [simplify]: iters left: 3 (63 enodes) 16.877 * * [simplify]: iters left: 2 (101 enodes) 16.892 * * [simplify]: iters left: 1 (122 enodes) 16.921 * * [simplify]: Extracting #0: cost 1 inf + 0 16.921 * * [simplify]: Extracting #1: cost 16 inf + 0 16.922 * * [simplify]: Extracting #2: cost 34 inf + 0 16.922 * * [simplify]: Extracting #3: cost 27 inf + 187 16.923 * * [simplify]: Extracting #4: cost 8 inf + 3366 16.925 * * [simplify]: Extracting #5: cost 0 inf + 5268 16.927 * [simplify]: Simplified to (* (* (sin lambda1) (* (cos phi2) (sin lambda2))) (cos phi1)) 16.927 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (pow (* (* (sin lambda1) (* (cos phi2) (sin lambda2))) (cos phi1)) 1)))) R)) 16.927 * * * * [progress]: [ 50 / 86 ] simplifiying candidate # 16.927 * [simplify]: Simplifying (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) 16.927 * * [simplify]: iters left: 5 (11 enodes) 16.932 * * [simplify]: iters left: 4 (40 enodes) 16.937 * * [simplify]: iters left: 3 (63 enodes) 16.946 * * [simplify]: iters left: 2 (101 enodes) 16.967 * * [simplify]: iters left: 1 (122 enodes) 16.999 * * [simplify]: Extracting #0: cost 1 inf + 0 16.999 * * [simplify]: Extracting #1: cost 16 inf + 0 16.999 * * [simplify]: Extracting #2: cost 34 inf + 0 17.000 * * [simplify]: Extracting #3: cost 27 inf + 187 17.000 * * [simplify]: Extracting #4: cost 8 inf + 3366 17.001 * * [simplify]: Extracting #5: cost 0 inf + 5268 17.002 * [simplify]: Simplified to (* (* (sin lambda1) (* (cos phi2) (sin lambda2))) (cos phi1)) 17.002 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (pow (* (* (sin lambda1) (* (cos phi2) (sin lambda2))) (cos phi1)) 1)))) R)) 17.002 * * * * [progress]: [ 51 / 86 ] simplifiying candidate # 17.002 * [simplify]: Simplifying (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) 17.003 * * [simplify]: iters left: 5 (11 enodes) 17.005 * * [simplify]: iters left: 4 (40 enodes) 17.010 * * [simplify]: iters left: 3 (63 enodes) 17.020 * * [simplify]: iters left: 2 (101 enodes) 17.042 * * [simplify]: iters left: 1 (122 enodes) 17.075 * * [simplify]: Extracting #0: cost 1 inf + 0 17.075 * * [simplify]: Extracting #1: cost 16 inf + 0 17.075 * * [simplify]: Extracting #2: cost 34 inf + 0 17.075 * * [simplify]: Extracting #3: cost 27 inf + 187 17.076 * * [simplify]: Extracting #4: cost 8 inf + 3366 17.078 * * [simplify]: Extracting #5: cost 0 inf + 5268 17.080 * [simplify]: Simplified to (* (* (sin lambda1) (* (cos phi2) (sin lambda2))) (cos phi1)) 17.081 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (pow (* (* (sin lambda1) (* (cos phi2) (sin lambda2))) (cos phi1)) 1)))) R)) 17.081 * * * * [progress]: [ 52 / 86 ] simplifiying candidate # 17.081 * [simplify]: Simplifying (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) 17.081 * * [simplify]: iters left: 5 (11 enodes) 17.086 * * [simplify]: iters left: 4 (40 enodes) 17.097 * * [simplify]: iters left: 3 (63 enodes) 17.117 * * [simplify]: iters left: 2 (101 enodes) 17.147 * * [simplify]: iters left: 1 (122 enodes) 17.179 * * [simplify]: Extracting #0: cost 1 inf + 0 17.179 * * [simplify]: Extracting #1: cost 16 inf + 0 17.179 * * [simplify]: Extracting #2: cost 34 inf + 0 17.180 * * [simplify]: Extracting #3: cost 27 inf + 187 17.181 * * [simplify]: Extracting #4: cost 8 inf + 3366 17.182 * * [simplify]: Extracting #5: cost 0 inf + 5268 17.184 * [simplify]: Simplified to (* (* (sin lambda1) (* (cos phi2) (sin lambda2))) (cos phi1)) 17.184 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (pow (* (* (sin lambda1) (* (cos phi2) (sin lambda2))) (cos phi1)) 1)))) R)) 17.185 * * * * [progress]: [ 53 / 86 ] simplifiying candidate # 17.185 * * * * [progress]: [ 54 / 86 ] simplifiying candidate # 17.185 * [simplify]: Simplifying (+ (+ (log (sin lambda1)) (log (sin lambda2))) (+ (log (cos phi1)) (log (cos phi2)))) 17.185 * * [simplify]: iters left: 6 (15 enodes) 17.192 * * [simplify]: iters left: 5 (52 enodes) 17.207 * * [simplify]: iters left: 4 (75 enodes) 17.224 * * [simplify]: iters left: 3 (111 enodes) 17.238 * * [simplify]: iters left: 2 (126 enodes) 17.257 * * [simplify]: Extracting #0: cost 1 inf + 0 17.257 * * [simplify]: Extracting #1: cost 16 inf + 0 17.257 * * [simplify]: Extracting #2: cost 34 inf + 0 17.257 * * [simplify]: Extracting #3: cost 42 inf + 0 17.258 * * [simplify]: Extracting #4: cost 26 inf + 1498 17.259 * * [simplify]: Extracting #5: cost 6 inf + 7911 17.262 * * [simplify]: Extracting #6: cost 0 inf + 10236 17.266 * [simplify]: Simplified to (+ (+ (log (sin lambda2)) (log (sin lambda1))) (+ (log (cos phi2)) (log (cos phi1)))) 17.266 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (exp (+ (+ (log (sin lambda2)) (log (sin lambda1))) (+ (log (cos phi2)) (log (cos phi1)))))))) R)) 17.266 * * * * [progress]: [ 55 / 86 ] simplifiying candidate # 17.267 * [simplify]: Simplifying (+ (+ (log (sin lambda1)) (log (sin lambda2))) (log (* (cos phi1) (cos phi2)))) 17.267 * * [simplify]: iters left: 6 (14 enodes) 17.272 * * [simplify]: iters left: 5 (50 enodes) 17.286 * * [simplify]: iters left: 4 (69 enodes) 17.307 * * [simplify]: iters left: 3 (104 enodes) 17.324 * * [simplify]: iters left: 2 (130 enodes) 17.338 * * [simplify]: iters left: 1 (134 enodes) 17.366 * * [simplify]: Extracting #0: cost 1 inf + 0 17.366 * * [simplify]: Extracting #1: cost 17 inf + 0 17.366 * * [simplify]: Extracting #2: cost 36 inf + 0 17.366 * * [simplify]: Extracting #3: cost 45 inf + 0 17.367 * * [simplify]: Extracting #4: cost 35 inf + 440 17.368 * * [simplify]: Extracting #5: cost 14 inf + 5126 17.371 * * [simplify]: Extracting #6: cost 2 inf + 9597 17.374 * * [simplify]: Extracting #7: cost 0 inf + 10473 17.377 * [simplify]: Simplified to (+ (log (* (cos phi1) (cos phi2))) (+ (log (sin lambda2)) (log (sin lambda1)))) 17.377 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (exp (+ (log (* (cos phi1) (cos phi2))) (+ (log (sin lambda2)) (log (sin lambda1)))))))) R)) 17.377 * * * * [progress]: [ 56 / 86 ] simplifiying candidate # 17.378 * [simplify]: Simplifying (+ (log (* (sin lambda1) (sin lambda2))) (+ (log (cos phi1)) (log (cos phi2)))) 17.378 * * [simplify]: iters left: 6 (14 enodes) 17.381 * * [simplify]: iters left: 5 (50 enodes) 17.388 * * [simplify]: iters left: 4 (69 enodes) 17.398 * * [simplify]: iters left: 3 (104 enodes) 17.419 * * [simplify]: iters left: 2 (131 enodes) 17.448 * * [simplify]: iters left: 1 (134 enodes) 17.482 * * [simplify]: Extracting #0: cost 1 inf + 0 17.482 * * [simplify]: Extracting #1: cost 17 inf + 0 17.482 * * [simplify]: Extracting #2: cost 36 inf + 0 17.483 * * [simplify]: Extracting #3: cost 45 inf + 0 17.483 * * [simplify]: Extracting #4: cost 29 inf + 1327 17.485 * * [simplify]: Extracting #5: cost 14 inf + 5126 17.488 * * [simplify]: Extracting #6: cost 2 inf + 9768 17.491 * * [simplify]: Extracting #7: cost 0 inf + 10473 17.494 * [simplify]: Simplified to (+ (log (* (sin lambda2) (sin lambda1))) (+ (log (cos phi1)) (log (cos phi2)))) 17.494 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (exp (+ (log (* (sin lambda2) (sin lambda1))) (+ (log (cos phi1)) (log (cos phi2)))))))) R)) 17.494 * * * * [progress]: [ 57 / 86 ] simplifiying candidate # 17.495 * [simplify]: Simplifying (+ (log (* (sin lambda1) (sin lambda2))) (log (* (cos phi1) (cos phi2)))) 17.495 * * [simplify]: iters left: 6 (13 enodes) 17.500 * * [simplify]: iters left: 5 (48 enodes) 17.509 * * [simplify]: iters left: 4 (66 enodes) 17.518 * * [simplify]: iters left: 3 (97 enodes) 17.531 * * [simplify]: iters left: 2 (125 enodes) 17.555 * * [simplify]: iters left: 1 (130 enodes) 17.586 * * [simplify]: Extracting #0: cost 1 inf + 0 17.586 * * [simplify]: Extracting #1: cost 16 inf + 0 17.587 * * [simplify]: Extracting #2: cost 36 inf + 0 17.587 * * [simplify]: Extracting #3: cost 46 inf + 0 17.587 * * [simplify]: Extracting #4: cost 33 inf + 763 17.588 * * [simplify]: Extracting #5: cost 13 inf + 5994 17.591 * * [simplify]: Extracting #6: cost 2 inf + 9129 17.594 * * [simplify]: Extracting #7: cost 0 inf + 9764 17.597 * [simplify]: Simplified to (+ (log (* (sin lambda2) (sin lambda1))) (log (* (cos phi2) (cos phi1)))) 17.597 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (exp (+ (log (* (sin lambda2) (sin lambda1))) (log (* (cos phi2) (cos phi1)))))))) R)) 17.598 * * * * [progress]: [ 58 / 86 ] simplifiying candidate # 17.598 * [simplify]: Simplifying (log (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))) 17.598 * * [simplify]: iters left: 6 (12 enodes) 17.603 * * [simplify]: iters left: 5 (46 enodes) 17.618 * * [simplify]: iters left: 4 (86 enodes) 17.645 * * [simplify]: iters left: 3 (157 enodes) 17.695 * * [simplify]: iters left: 2 (249 enodes) 17.758 * * [simplify]: iters left: 1 (261 enodes) 17.784 * * [simplify]: Extracting #0: cost 1 inf + 0 17.785 * * [simplify]: Extracting #1: cost 17 inf + 0 17.785 * * [simplify]: Extracting #2: cost 46 inf + 0 17.785 * * [simplify]: Extracting #3: cost 64 inf + 0 17.785 * * [simplify]: Extracting #4: cost 49 inf + 1219 17.787 * * [simplify]: Extracting #5: cost 12 inf + 9701 17.789 * * [simplify]: Extracting #6: cost 0 inf + 12632 17.791 * [simplify]: Simplified to (log (* (* (cos phi2) (sin lambda1)) (* (sin lambda2) (cos phi1)))) 17.791 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (exp (log (* (* (cos phi2) (sin lambda1)) (* (sin lambda2) (cos phi1)))))))) R)) 17.792 * * * * [progress]: [ 59 / 86 ] simplifiying candidate # 17.792 * [simplify]: Simplifying (exp (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))) 17.792 * * [simplify]: iters left: 6 (12 enodes) 17.794 * * [simplify]: iters left: 5 (45 enodes) 17.801 * * [simplify]: iters left: 4 (83 enodes) 17.820 * * [simplify]: iters left: 3 (166 enodes) 17.873 * * [simplify]: iters left: 2 (326 enodes) 17.982 * * [simplify]: Extracting #0: cost 1 inf + 0 17.982 * * [simplify]: Extracting #1: cost 57 inf + 0 17.982 * * [simplify]: Extracting #2: cost 183 inf + 0 17.983 * * [simplify]: Extracting #3: cost 236 inf + 1204 17.986 * * [simplify]: Extracting #4: cost 161 inf + 18080 17.994 * * [simplify]: Extracting #5: cost 26 inf + 70850 18.005 * * [simplify]: Extracting #6: cost 2 inf + 86791 18.025 * * [simplify]: Extracting #7: cost 0 inf + 88954 18.045 * [simplify]: Simplified to (exp (* (* (* (sin lambda2) (sin lambda1)) (cos phi2)) (cos phi1))) 18.046 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (log (exp (* (* (* (sin lambda2) (sin lambda1)) (cos phi2)) (cos phi1))))))) R)) 18.046 * * * * [progress]: [ 60 / 86 ] simplifiying candidate # 18.046 * [simplify]: Simplifying (* (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2)))) 18.046 * * [simplify]: iters left: 6 (19 enodes) 18.055 * * [simplify]: iters left: 5 (76 enodes) 18.078 * * [simplify]: iters left: 4 (194 enodes) 18.155 * * [simplify]: Extracting #0: cost 1 inf + 0 18.155 * * [simplify]: Extracting #1: cost 59 inf + 0 18.156 * * [simplify]: Extracting #2: cost 248 inf + 0 18.158 * * [simplify]: Extracting #3: cost 194 inf + 13374 18.179 * * [simplify]: Extracting #4: cost 32 inf + 72117 18.205 * * [simplify]: Extracting #5: cost 0 inf + 84399 18.223 * * [simplify]: Extracting #6: cost 0 inf + 83679 18.258 * [simplify]: Simplified to (* (* (* (sin lambda2) (sin lambda1)) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))) (* (* (cos phi2) (cos phi1)) (* (* (cos phi2) (cos phi1)) (* (cos phi2) (cos phi1))))) 18.258 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (cbrt (* (* (* (sin lambda2) (sin lambda1)) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))) (* (* (cos phi2) (cos phi1)) (* (* (cos phi2) (cos phi1)) (* (cos phi2) (cos phi1))))))))) R)) 18.258 * * * * [progress]: [ 61 / 86 ] simplifiying candidate # 18.259 * [simplify]: Simplifying (* (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2)))) 18.262 * * [simplify]: iters left: 6 (17 enodes) 18.269 * * [simplify]: iters left: 5 (74 enodes) 18.297 * * [simplify]: iters left: 4 (201 enodes) 18.394 * * [simplify]: Extracting #0: cost 1 inf + 0 18.394 * * [simplify]: Extracting #1: cost 61 inf + 0 18.396 * * [simplify]: Extracting #2: cost 254 inf + 0 18.399 * * [simplify]: Extracting #3: cost 226 inf + 5432 18.408 * * [simplify]: Extracting #4: cost 152 inf + 27252 18.440 * * [simplify]: Extracting #5: cost 15 inf + 81243 18.476 * * [simplify]: Extracting #6: cost 0 inf + 87556 18.517 * * [simplify]: Extracting #7: cost 0 inf + 87436 18.553 * [simplify]: Simplified to (* (* (* (* (cos phi2) (cos phi1)) (* (cos phi2) (cos phi1))) (* (cos phi2) (cos phi1))) (* (* (sin lambda2) (sin lambda1)) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))))) 18.553 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (cbrt (* (* (* (* (cos phi2) (cos phi1)) (* (cos phi2) (cos phi1))) (* (cos phi2) (cos phi1))) (* (* (sin lambda2) (sin lambda1)) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))))))))) R)) 18.553 * * * * [progress]: [ 62 / 86 ] simplifiying candidate # 18.554 * [simplify]: Simplifying (* (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2)))) 18.554 * * [simplify]: iters left: 6 (17 enodes) 18.562 * * [simplify]: iters left: 5 (74 enodes) 18.581 * * [simplify]: iters left: 4 (201 enodes) 18.667 * * [simplify]: Extracting #0: cost 1 inf + 0 18.667 * * [simplify]: Extracting #1: cost 58 inf + 0 18.667 * * [simplify]: Extracting #2: cost 262 inf + 0 18.669 * * [simplify]: Extracting #3: cost 232 inf + 5802 18.675 * * [simplify]: Extracting #4: cost 135 inf + 36177 18.702 * * [simplify]: Extracting #5: cost 13 inf + 85332 18.742 * * [simplify]: Extracting #6: cost 0 inf + 89517 18.767 * * [simplify]: Extracting #7: cost 0 inf + 89477 18.786 * [simplify]: Simplified to (* (* (* (cos phi2) (cos phi1)) (* (* (cos phi2) (cos phi1)) (* (cos phi2) (cos phi1)))) (* (* (sin lambda2) (sin lambda1)) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))))) 18.786 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (cbrt (* (* (* (cos phi2) (cos phi1)) (* (* (cos phi2) (cos phi1)) (* (cos phi2) (cos phi1)))) (* (* (sin lambda2) (sin lambda1)) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))))))))) R)) 18.786 * * * * [progress]: [ 63 / 86 ] simplifiying candidate # 18.787 * [simplify]: Simplifying (* (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2)))) 18.787 * * [simplify]: iters left: 6 (15 enodes) 18.794 * * [simplify]: iters left: 5 (72 enodes) 18.822 * * [simplify]: iters left: 4 (208 enodes) 18.928 * * [simplify]: Extracting #0: cost 1 inf + 0 18.928 * * [simplify]: Extracting #1: cost 63 inf + 0 18.929 * * [simplify]: Extracting #2: cost 270 inf + 0 18.932 * * [simplify]: Extracting #3: cost 196 inf + 19621 18.949 * * [simplify]: Extracting #4: cost 18 inf + 86680 18.968 * * [simplify]: Extracting #5: cost 0 inf + 94094 18.988 * [simplify]: Simplified to (* (* (* (cos phi1) (cos phi2)) (* (sin lambda2) (sin lambda1))) (* (* (* (cos phi1) (cos phi2)) (* (sin lambda2) (sin lambda1))) (* (* (cos phi1) (cos phi2)) (* (sin lambda2) (sin lambda1))))) 18.988 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (cbrt (* (* (* (cos phi1) (cos phi2)) (* (sin lambda2) (sin lambda1))) (* (* (* (cos phi1) (cos phi2)) (* (sin lambda2) (sin lambda1))) (* (* (cos phi1) (cos phi2)) (* (sin lambda2) (sin lambda1))))))))) R)) 18.988 * * * * [progress]: [ 64 / 86 ] simplifiying candidate # 18.988 * [simplify]: Simplifying (* (cbrt (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))) (cbrt (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))) 18.988 * * [simplify]: iters left: 6 (13 enodes) 18.991 * * [simplify]: iters left: 5 (46 enodes) 18.998 * * [simplify]: iters left: 4 (69 enodes) 19.010 * * [simplify]: iters left: 3 (107 enodes) 19.026 * * [simplify]: iters left: 2 (129 enodes) 19.044 * * [simplify]: Extracting #0: cost 1 inf + 0 19.044 * * [simplify]: Extracting #1: cost 3 inf + 0 19.044 * * [simplify]: Extracting #2: cost 5 inf + 0 19.045 * * [simplify]: Extracting #3: cost 20 inf + 0 19.045 * * [simplify]: Extracting #4: cost 38 inf + 0 19.045 * * [simplify]: Extracting #5: cost 30 inf + 349 19.046 * * [simplify]: Extracting #6: cost 11 inf + 3629 19.047 * * [simplify]: Extracting #7: cost 1 inf + 6640 19.048 * * [simplify]: Extracting #8: cost 0 inf + 7124 19.049 * [simplify]: Simplified to (* (cbrt (* (* (* (cos phi2) (sin lambda1)) (cos phi1)) (sin lambda2))) (cbrt (* (* (* (cos phi2) (sin lambda1)) (cos phi1)) (sin lambda2)))) 19.049 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (cbrt (* (* (* (cos phi2) (sin lambda1)) (cos phi1)) (sin lambda2))) (cbrt (* (* (* (cos phi2) (sin lambda1)) (cos phi1)) (sin lambda2)))) (cbrt (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R)) 19.049 * [simplify]: Simplifying (cbrt (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))) 19.049 * * [simplify]: iters left: 6 (12 enodes) 19.052 * * [simplify]: iters left: 5 (43 enodes) 19.058 * * [simplify]: iters left: 4 (66 enodes) 19.068 * * [simplify]: iters left: 3 (103 enodes) 19.089 * * [simplify]: iters left: 2 (129 enodes) 19.125 * * [simplify]: Extracting #0: cost 1 inf + 0 19.125 * * [simplify]: Extracting #1: cost 3 inf + 0 19.125 * * [simplify]: Extracting #2: cost 18 inf + 0 19.125 * * [simplify]: Extracting #3: cost 36 inf + 0 19.125 * * [simplify]: Extracting #4: cost 28 inf + 248 19.126 * * [simplify]: Extracting #5: cost 15 inf + 2253 19.128 * * [simplify]: Extracting #6: cost 1 inf + 5712 19.130 * * [simplify]: Extracting #7: cost 0 inf + 6156 19.132 * [simplify]: Simplified to (cbrt (* (* (cos phi2) (sin lambda2)) (* (cos phi1) (sin lambda1)))) 19.132 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (cbrt (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))) (cbrt (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))) (cbrt (* (* (cos phi2) (sin lambda2)) (* (cos phi1) (sin lambda1)))))))) R)) 19.133 * * * * [progress]: [ 65 / 86 ] simplifiying candidate # 19.133 * [simplify]: Simplifying (* (* (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))) 19.133 * * [simplify]: iters left: 6 (13 enodes) 19.139 * * [simplify]: iters left: 5 (56 enodes) 19.162 * * [simplify]: iters left: 4 (190 enodes) 19.319 * * [simplify]: Extracting #0: cost 1 inf + 0 19.320 * * [simplify]: Extracting #1: cost 67 inf + 0 19.320 * * [simplify]: Extracting #2: cost 269 inf + 1 19.323 * * [simplify]: Extracting #3: cost 227 inf + 12845 19.338 * * [simplify]: Extracting #4: cost 38 inf + 82776 19.373 * * [simplify]: Extracting #5: cost 0 inf + 100202 19.418 * [simplify]: Simplified to (* (* (sin lambda1) (* (cos phi2) (* (sin lambda2) (cos phi1)))) (* (* (sin lambda1) (* (cos phi2) (* (sin lambda2) (cos phi1)))) (* (sin lambda1) (* (cos phi2) (* (sin lambda2) (cos phi1)))))) 19.418 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (cbrt (* (* (sin lambda1) (* (cos phi2) (* (sin lambda2) (cos phi1)))) (* (* (sin lambda1) (* (cos phi2) (* (sin lambda2) (cos phi1)))) (* (sin lambda1) (* (cos phi2) (* (sin lambda2) (cos phi1)))))))))) R)) 19.418 * * * * [progress]: [ 66 / 86 ] simplifiying candidate # 19.419 * [simplify]: Simplifying (sqrt (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))) 19.419 * * [simplify]: iters left: 6 (12 enodes) 19.424 * * [simplify]: iters left: 5 (43 enodes) 19.436 * * [simplify]: iters left: 4 (66 enodes) 19.456 * * [simplify]: iters left: 3 (103 enodes) 19.487 * * [simplify]: iters left: 2 (129 enodes) 19.509 * * [simplify]: Extracting #0: cost 1 inf + 0 19.509 * * [simplify]: Extracting #1: cost 3 inf + 0 19.509 * * [simplify]: Extracting #2: cost 18 inf + 0 19.509 * * [simplify]: Extracting #3: cost 36 inf + 0 19.510 * * [simplify]: Extracting #4: cost 28 inf + 248 19.510 * * [simplify]: Extracting #5: cost 15 inf + 2253 19.511 * * [simplify]: Extracting #6: cost 1 inf + 5672 19.513 * * [simplify]: Extracting #7: cost 0 inf + 6076 19.515 * [simplify]: Simplified to (sqrt (* (* (cos phi2) (sin lambda2)) (* (cos phi1) (sin lambda1)))) 19.515 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (sqrt (* (* (cos phi2) (sin lambda2)) (* (cos phi1) (sin lambda1)))) (sqrt (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R)) 19.515 * [simplify]: Simplifying (sqrt (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))) 19.515 * * [simplify]: iters left: 6 (12 enodes) 19.518 * * [simplify]: iters left: 5 (43 enodes) 19.524 * * [simplify]: iters left: 4 (66 enodes) 19.541 * * [simplify]: iters left: 3 (103 enodes) 19.572 * * [simplify]: iters left: 2 (129 enodes) 19.594 * * [simplify]: Extracting #0: cost 1 inf + 0 19.594 * * [simplify]: Extracting #1: cost 3 inf + 0 19.594 * * [simplify]: Extracting #2: cost 18 inf + 0 19.594 * * [simplify]: Extracting #3: cost 36 inf + 0 19.594 * * [simplify]: Extracting #4: cost 28 inf + 248 19.595 * * [simplify]: Extracting #5: cost 15 inf + 2253 19.595 * * [simplify]: Extracting #6: cost 1 inf + 5672 19.597 * * [simplify]: Extracting #7: cost 0 inf + 6076 19.598 * [simplify]: Simplified to (sqrt (* (* (cos phi2) (sin lambda2)) (* (cos phi1) (sin lambda1)))) 19.598 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (sqrt (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))) (sqrt (* (* (cos phi2) (sin lambda2)) (* (cos phi1) (sin lambda1)))))))) R)) 19.598 * * * * [progress]: [ 67 / 86 ] simplifiying candidate # 19.598 * [simplify]: Simplifying (* (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2)))) 19.599 * * [simplify]: iters left: 6 (15 enodes) 19.602 * * [simplify]: iters left: 5 (61 enodes) 19.612 * * [simplify]: iters left: 4 (98 enodes) 19.641 * * [simplify]: iters left: 3 (163 enodes) 19.663 * * [simplify]: iters left: 2 (265 enodes) 19.725 * * [simplify]: iters left: 1 (362 enodes) 19.824 * * [simplify]: Extracting #0: cost 1 inf + 0 19.825 * * [simplify]: Extracting #1: cost 31 inf + 0 19.825 * * [simplify]: Extracting #2: cost 84 inf + 0 19.826 * * [simplify]: Extracting #3: cost 96 inf + 0 19.826 * * [simplify]: Extracting #4: cost 106 inf + 0 19.827 * * [simplify]: Extracting #5: cost 95 inf + 1061 19.829 * * [simplify]: Extracting #6: cost 74 inf + 4775 19.834 * * [simplify]: Extracting #7: cost 37 inf + 17864 19.848 * * [simplify]: Extracting #8: cost 2 inf + 33358 19.863 * * [simplify]: Extracting #9: cost 0 inf + 34406 19.878 * [simplify]: Simplified to (* (+ (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1)))) 19.878 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (/ (* (+ (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1)))) (* 2 2))))) R)) 19.879 * [simplify]: Simplifying (* 2 2) 19.879 * * [simplify]: iters left: 2 (2 enodes) 19.882 * * [simplify]: iters left: 1 (7 enodes) 19.884 * * [simplify]: Extracting #0: cost 1 inf + 0 19.884 * * [simplify]: Extracting #1: cost 0 inf + 1 19.884 * [simplify]: Simplified to 4 19.884 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (/ (* (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2)))) 4)))) R)) 19.885 * * * * [progress]: [ 68 / 86 ] simplifiying candidate # 19.885 * * * * [progress]: [ 69 / 86 ] simplifiying candidate # 19.885 * [simplify]: Simplifying (* (* (sin lambda1) (sin lambda2)) (cos phi1)) 19.885 * * [simplify]: iters left: 5 (8 enodes) 19.888 * * [simplify]: iters left: 4 (28 enodes) 19.896 * * [simplify]: iters left: 3 (36 enodes) 19.906 * * [simplify]: iters left: 2 (42 enodes) 19.916 * * [simplify]: Extracting #0: cost 1 inf + 0 19.917 * * [simplify]: Extracting #1: cost 8 inf + 0 19.917 * * [simplify]: Extracting #2: cost 17 inf + 0 19.917 * * [simplify]: Extracting #3: cost 13 inf + 64 19.917 * * [simplify]: Extracting #4: cost 6 inf + 895 19.918 * * [simplify]: Extracting #5: cost 0 inf + 1867 19.918 * [simplify]: Simplified to (* (* (sin lambda2) (cos phi1)) (sin lambda1)) 19.918 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (* (sin lambda2) (cos phi1)) (sin lambda1)) (cos phi2))))) R)) 19.919 * * * * [progress]: [ 70 / 86 ] simplifiying candidate # 19.919 * [simplify]: Simplifying (* (sin lambda2) (* (cos phi1) (cos phi2))) 19.919 * * [simplify]: iters left: 5 (8 enodes) 19.922 * * [simplify]: iters left: 4 (28 enodes) 19.933 * * [simplify]: iters left: 3 (36 enodes) 19.942 * * [simplify]: iters left: 2 (42 enodes) 19.952 * * [simplify]: Extracting #0: cost 1 inf + 0 19.952 * * [simplify]: Extracting #1: cost 8 inf + 0 19.952 * * [simplify]: Extracting #2: cost 17 inf + 0 19.953 * * [simplify]: Extracting #3: cost 12 inf + 125 19.953 * * [simplify]: Extracting #4: cost 5 inf + 1057 19.953 * * [simplify]: Extracting #5: cost 1 inf + 1705 19.954 * * [simplify]: Extracting #6: cost 0 inf + 1867 19.955 * [simplify]: Simplified to (* (* (cos phi1) (cos phi2)) (sin lambda2)) 19.955 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (sin lambda1) (* (* (cos phi1) (cos phi2)) (sin lambda2)))))) R)) 19.955 * * * * [progress]: [ 71 / 86 ] simplifiying candidate # 19.955 * [simplify]: Simplifying (* (* (sin lambda1) (sin lambda2)) (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2)))) 19.955 * * [simplify]: iters left: 6 (13 enodes) 19.961 * * [simplify]: iters left: 5 (53 enodes) 19.973 * * [simplify]: iters left: 4 (94 enodes) 19.987 * * [simplify]: iters left: 3 (128 enodes) 20.003 * * [simplify]: iters left: 2 (160 enodes) 20.027 * * [simplify]: Extracting #0: cost 1 inf + 0 20.027 * * [simplify]: Extracting #1: cost 10 inf + 0 20.027 * * [simplify]: Extracting #2: cost 26 inf + 0 20.027 * * [simplify]: Extracting #3: cost 28 inf + 246 20.027 * * [simplify]: Extracting #4: cost 31 inf + 570 20.027 * * [simplify]: Extracting #5: cost 29 inf + 613 20.028 * * [simplify]: Extracting #6: cost 19 inf + 1736 20.029 * * [simplify]: Extracting #7: cost 6 inf + 4974 20.030 * * [simplify]: Extracting #8: cost 1 inf + 6611 20.031 * * [simplify]: Extracting #9: cost 0 inf + 6814 20.032 * [simplify]: Simplified to (* (+ (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin lambda2) (sin lambda1))) 20.032 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (/ (* (+ (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin lambda2) (sin lambda1))) 2)))) R)) 20.032 * * * * [progress]: [ 72 / 86 ] simplifiying candidate # 20.033 * [simplify]: Simplifying (* (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (cos phi1) (cos phi2))) 20.033 * * [simplify]: iters left: 6 (13 enodes) 20.035 * * [simplify]: iters left: 5 (48 enodes) 20.042 * * [simplify]: iters left: 4 (68 enodes) 20.057 * * [simplify]: iters left: 3 (112 enodes) 20.093 * * [simplify]: iters left: 2 (165 enodes) 20.127 * * [simplify]: iters left: 1 (225 enodes) 20.157 * * [simplify]: Extracting #0: cost 1 inf + 0 20.157 * * [simplify]: Extracting #1: cost 13 inf + 0 20.157 * * [simplify]: Extracting #2: cost 40 inf + 0 20.157 * * [simplify]: Extracting #3: cost 50 inf + 124 20.157 * * [simplify]: Extracting #4: cost 51 inf + 650 20.158 * * [simplify]: Extracting #5: cost 44 inf + 1380 20.158 * * [simplify]: Extracting #6: cost 22 inf + 5134 20.160 * * [simplify]: Extracting #7: cost 1 inf + 10961 20.162 * * [simplify]: Extracting #8: cost 0 inf + 11304 20.165 * [simplify]: Simplified to (* (* (cos phi1) (cos phi2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1)))) 20.165 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (/ (* (* (cos phi1) (cos phi2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1)))) 2)))) R)) 20.165 * * * * [progress]: [ 73 / 86 ] simplifiying candidate #real (real->posit16 (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))> 20.165 * [simplify]: Simplifying (real->posit16 (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))) 20.165 * * [simplify]: iters left: 6 (12 enodes) 20.168 * * [simplify]: iters left: 5 (40 enodes) 20.175 * * [simplify]: iters left: 4 (63 enodes) 20.196 * * [simplify]: iters left: 3 (101 enodes) 20.226 * * [simplify]: iters left: 2 (122 enodes) 20.258 * * [simplify]: Extracting #0: cost 1 inf + 0 20.258 * * [simplify]: Extracting #1: cost 2 inf + 0 20.258 * * [simplify]: Extracting #2: cost 16 inf + 0 20.259 * * [simplify]: Extracting #3: cost 34 inf + 0 20.259 * * [simplify]: Extracting #4: cost 26 inf + 248 20.260 * * [simplify]: Extracting #5: cost 9 inf + 3002 20.262 * * [simplify]: Extracting #6: cost 0 inf + 5268 20.264 * [simplify]: Simplified to (real->posit16 (* (* (sin lambda1) (* (cos phi2) (sin lambda2))) (cos phi1))) 20.264 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (posit16->real (real->posit16 (* (* (sin lambda1) (* (cos phi2) (sin lambda2))) (cos phi1))))))) R)) 20.264 * * * * [progress]: [ 74 / 86 ] simplifiying candidate # 20.264 * * * * [progress]: [ 75 / 86 ] simplifiying candidate # 20.264 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) 20.265 * * [simplify]: iters left: 6 (22 enodes) 20.274 * * [simplify]: iters left: 5 (84 enodes) 20.299 * * [simplify]: iters left: 4 (141 enodes) 20.346 * * [simplify]: iters left: 3 (241 enodes) 20.386 * * [simplify]: iters left: 2 (280 enodes) 20.441 * * [simplify]: Extracting #0: cost 1 inf + 0 20.441 * * [simplify]: Extracting #1: cost 3 inf + 0 20.441 * * [simplify]: Extracting #2: cost 10 inf + 0 20.441 * * [simplify]: Extracting #3: cost 46 inf + 0 20.441 * * [simplify]: Extracting #4: cost 80 inf + 0 20.442 * * [simplify]: Extracting #5: cost 63 inf + 1504 20.445 * * [simplify]: Extracting #6: cost 22 inf + 9796 20.451 * * [simplify]: Extracting #7: cost 5 inf + 17031 20.458 * * [simplify]: Extracting #8: cost 0 inf + 19888 20.464 * * [simplify]: Extracting #9: cost 0 inf + 19728 20.471 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) 20.471 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) R)) 20.471 * * * * [progress]: [ 76 / 86 ] simplifiying candidate # 20.472 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 20.472 * * [simplify]: iters left: 6 (22 enodes) 20.481 * * [simplify]: iters left: 5 (84 enodes) 20.509 * * [simplify]: iters left: 4 (141 enodes) 20.559 * * [simplify]: iters left: 3 (241 enodes) 20.615 * * [simplify]: iters left: 2 (280 enodes) 20.689 * * [simplify]: Extracting #0: cost 1 inf + 0 20.690 * * [simplify]: Extracting #1: cost 3 inf + 0 20.690 * * [simplify]: Extracting #2: cost 10 inf + 0 20.690 * * [simplify]: Extracting #3: cost 46 inf + 0 20.690 * * [simplify]: Extracting #4: cost 80 inf + 0 20.690 * * [simplify]: Extracting #5: cost 58 inf + 2112 20.692 * * [simplify]: Extracting #6: cost 20 inf + 10221 20.695 * * [simplify]: Extracting #7: cost 2 inf + 18300 20.699 * * [simplify]: Extracting #8: cost 0 inf + 19888 20.702 * * [simplify]: Extracting #9: cost 0 inf + 19728 20.706 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) 20.706 * [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)) 20.706 * * * * [progress]: [ 77 / 86 ] simplifiying candidate # 20.706 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 20.706 * * [simplify]: iters left: 6 (22 enodes) 20.712 * * [simplify]: iters left: 5 (84 enodes) 20.725 * * [simplify]: iters left: 4 (141 enodes) 20.756 * * [simplify]: iters left: 3 (241 enodes) 20.817 * * [simplify]: iters left: 2 (280 enodes) 20.891 * * [simplify]: Extracting #0: cost 1 inf + 0 20.892 * * [simplify]: Extracting #1: cost 3 inf + 0 20.892 * * [simplify]: Extracting #2: cost 10 inf + 0 20.892 * * [simplify]: Extracting #3: cost 46 inf + 0 20.892 * * [simplify]: Extracting #4: cost 80 inf + 0 20.893 * * [simplify]: Extracting #5: cost 63 inf + 1504 20.896 * * [simplify]: Extracting #6: cost 22 inf + 9796 20.903 * * [simplify]: Extracting #7: cost 5 inf + 17031 20.910 * * [simplify]: Extracting #8: cost 0 inf + 19888 20.917 * * [simplify]: Extracting #9: cost 0 inf + 19728 20.924 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) 20.924 * [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)) 20.924 * * * * [progress]: [ 78 / 86 ] simplifiying candidate # 20.924 * [simplify]: Simplifying (* lambda2 lambda1) 20.924 * * [simplify]: iters left: 2 (3 enodes) 20.926 * * [simplify]: iters left: 1 (10 enodes) 20.928 * * [simplify]: Extracting #0: cost 1 inf + 0 20.928 * * [simplify]: Extracting #1: cost 4 inf + 0 20.928 * * [simplify]: Extracting #2: cost 2 inf + 2 20.928 * * [simplify]: Extracting #3: cost 0 inf + 86 20.928 * [simplify]: Simplified to (* lambda2 lambda1) 20.928 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* lambda2 lambda1) (* (cos phi1) (cos phi2)))))) R)) 20.929 * * * * [progress]: [ 79 / 86 ] simplifiying candidate # 20.929 * [simplify]: Simplifying (* (sin lambda2) (sin lambda1)) 20.929 * * [simplify]: iters left: 3 (5 enodes) 20.931 * * [simplify]: iters left: 2 (16 enodes) 20.935 * * [simplify]: Extracting #0: cost 1 inf + 0 20.935 * * [simplify]: Extracting #1: cost 4 inf + 0 20.935 * * [simplify]: Extracting #2: cost 8 inf + 0 20.935 * * [simplify]: Extracting #3: cost 4 inf + 124 20.935 * * [simplify]: Extracting #4: cost 0 inf + 570 20.935 * [simplify]: Simplified to (* (sin lambda1) (sin lambda2)) 20.936 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)) 20.936 * * * * [progress]: [ 80 / 86 ] simplifiying candidate # 20.936 * [simplify]: Simplifying (* (sin lambda1) (sin lambda2)) 20.936 * * [simplify]: iters left: 3 (5 enodes) 20.938 * * [simplify]: iters left: 2 (16 enodes) 20.942 * * [simplify]: Extracting #0: cost 1 inf + 0 20.942 * * [simplify]: Extracting #1: cost 4 inf + 0 20.942 * * [simplify]: Extracting #2: cost 8 inf + 0 20.942 * * [simplify]: Extracting #3: cost 4 inf + 124 20.942 * * [simplify]: Extracting #4: cost 0 inf + 570 20.943 * [simplify]: Simplified to (* (sin lambda2) (sin lambda1)) 20.943 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda2) (sin lambda1)) (* (cos phi1) (cos phi2)))))) R)) 20.943 * * * * [progress]: [ 81 / 86 ] simplifiying candidate # 20.943 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) 20.943 * * [simplify]: iters left: 6 (24 enodes) 20.953 * * [simplify]: iters left: 5 (91 enodes) 20.980 * * [simplify]: iters left: 4 (148 enodes) 21.024 * * [simplify]: iters left: 3 (248 enodes) 21.076 * * [simplify]: iters left: 2 (295 enodes) 21.159 * * [simplify]: Extracting #0: cost 1 inf + 0 21.159 * * [simplify]: Extracting #1: cost 4 inf + 0 21.160 * * [simplify]: Extracting #2: cost 5 inf + 1 21.160 * * [simplify]: Extracting #3: cost 12 inf + 1 21.160 * * [simplify]: Extracting #4: cost 48 inf + 1 21.160 * * [simplify]: Extracting #5: cost 82 inf + 1 21.161 * * [simplify]: Extracting #6: cost 71 inf + 634 21.163 * * [simplify]: Extracting #7: cost 31 inf + 8806 21.168 * * [simplify]: Extracting #8: cost 5 inf + 18631 21.172 * * [simplify]: Extracting #9: cost 1 inf + 20704 21.176 * * [simplify]: Extracting #10: cost 0 inf + 21559 21.180 * * [simplify]: Extracting #11: cost 0 inf + 21519 21.183 * [simplify]: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))) (cos phi2)))))) 21.183 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))) (cos phi2))))))) 21.184 * * * * [progress]: [ 82 / 86 ] simplifiying candidate # 21.184 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 21.184 * * [simplify]: iters left: 6 (24 enodes) 21.189 * * [simplify]: iters left: 5 (91 enodes) 21.202 * * [simplify]: iters left: 4 (148 enodes) 21.250 * * [simplify]: iters left: 3 (248 enodes) 21.306 * * [simplify]: iters left: 2 (292 enodes) 21.363 * * [simplify]: Extracting #0: cost 1 inf + 0 21.363 * * [simplify]: Extracting #1: cost 4 inf + 0 21.363 * * [simplify]: Extracting #2: cost 5 inf + 1 21.363 * * [simplify]: Extracting #3: cost 12 inf + 1 21.363 * * [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 21.380 * * [simplify]: Extracting #9: cost 1 inf + 20624 21.387 * * [simplify]: Extracting #10: cost 0 inf + 21519 21.394 * [simplify]: Simplified to (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R) 21.394 * [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)) 21.395 * * * * [progress]: [ 83 / 86 ] simplifiying candidate # 21.395 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 21.395 * * [simplify]: iters left: 6 (24 enodes) 21.402 * * [simplify]: iters left: 5 (91 enodes) 21.417 * * [simplify]: iters left: 4 (148 enodes) 21.454 * * [simplify]: iters left: 3 (248 enodes) 21.527 * * [simplify]: iters left: 2 (295 enodes) 21.609 * * [simplify]: Extracting #0: cost 1 inf + 0 21.609 * * [simplify]: Extracting #1: cost 4 inf + 0 21.609 * * [simplify]: Extracting #2: cost 5 inf + 1 21.610 * * [simplify]: Extracting #3: cost 12 inf + 1 21.610 * * [simplify]: Extracting #4: cost 48 inf + 1 21.610 * * [simplify]: Extracting #5: cost 82 inf + 1 21.611 * * [simplify]: Extracting #6: cost 71 inf + 634 21.613 * * [simplify]: Extracting #7: cost 31 inf + 8806 21.619 * * [simplify]: Extracting #8: cost 5 inf + 18631 21.628 * * [simplify]: Extracting #9: cost 1 inf + 20704 21.635 * * [simplify]: Extracting #10: cost 0 inf + 21559 21.643 * * [simplify]: Extracting #11: cost 0 inf + 21519 21.650 * [simplify]: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 21.650 * [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))))))) 21.651 * * * * [progress]: [ 84 / 86 ] simplifiying candidate # 21.651 * [simplify]: Simplifying 0 21.651 * * [simplify]: iters left: 0 (1 enodes) 21.652 * * [simplify]: Extracting #0: cost 1 inf + 0 21.652 * * [simplify]: Extracting #1: cost 0 inf + 1 21.652 * [simplify]: Simplified to 0 21.652 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) 0))) R)) 21.653 * * * * [progress]: [ 85 / 86 ] simplifiying candidate # 21.653 * [simplify]: Simplifying (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) 21.653 * * [simplify]: iters left: 6 (11 enodes) 21.658 * * [simplify]: iters left: 5 (40 enodes) 21.669 * * [simplify]: iters left: 4 (64 enodes) 21.688 * * [simplify]: iters left: 3 (100 enodes) 21.718 * * [simplify]: iters left: 2 (116 enodes) 21.746 * * [simplify]: Extracting #0: cost 1 inf + 0 21.747 * * [simplify]: Extracting #1: cost 16 inf + 0 21.747 * * [simplify]: Extracting #2: cost 34 inf + 0 21.747 * * [simplify]: Extracting #3: cost 23 inf + 633 21.748 * * [simplify]: Extracting #4: cost 5 inf + 4155 21.749 * * [simplify]: Extracting #5: cost 0 inf + 5268 21.750 * [simplify]: Simplified to (* (* (cos phi2) (sin lambda1)) (* (sin lambda2) (cos phi1))) 21.750 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (cos phi2) (sin lambda1)) (* (sin lambda2) (cos phi1)))))) R)) 21.750 * * * * [progress]: [ 86 / 86 ] simplifiying candidate # 21.750 * [simplify]: Simplifying (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) 21.750 * * [simplify]: iters left: 6 (11 enodes) 21.753 * * [simplify]: iters left: 5 (40 enodes) 21.759 * * [simplify]: iters left: 4 (64 enodes) 21.770 * * [simplify]: iters left: 3 (100 enodes) 21.799 * * [simplify]: iters left: 2 (116 enodes) 21.828 * * [simplify]: Extracting #0: cost 1 inf + 0 21.828 * * [simplify]: Extracting #1: cost 16 inf + 0 21.828 * * [simplify]: Extracting #2: cost 34 inf + 0 21.828 * * [simplify]: Extracting #3: cost 23 inf + 633 21.830 * * [simplify]: Extracting #4: cost 5 inf + 4155 21.831 * * [simplify]: Extracting #5: cost 0 inf + 5268 21.833 * [simplify]: Simplified to (* (* (cos phi2) (sin lambda2)) (* (sin lambda1) (cos phi1))) 21.833 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (cos phi2) (sin lambda2)) (* (sin lambda1) (cos phi1)))))) R)) 21.834 * * * [progress]: adding candidates to table 23.838 * * [progress]: iteration 3 / 4 23.838 * * * [progress]: picking best candidate 24.062 * * * * [pick]: Picked # 24.062 * * * [progress]: localizing error 24.145 * * * [progress]: generating rewritten candidates 24.145 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 24.147 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 1 2) 24.161 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 24.172 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 24.195 * * * [progress]: generating series expansions 24.195 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 24.196 * [backup-simplify]: Simplify (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 24.196 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi2 phi1 lambda2 lambda1) around 0 24.196 * [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 24.196 * [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))))) 24.196 * [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 24.203 * [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))))) 24.203 * [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 24.203 * [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))))) 24.203 * [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 24.204 * [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))))) 24.204 * [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 24.205 * [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))))) 24.205 * [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 24.205 * [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))))) 24.205 * [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 24.206 * [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))))) 24.206 * [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 24.207 * [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))))) 24.207 * [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))))) 24.207 * [taylor]: Taking taylor expansion of 0 in phi1 24.207 * [backup-simplify]: Simplify 0 into 0 24.208 * [taylor]: Taking taylor expansion of 0 in lambda2 24.208 * [backup-simplify]: Simplify 0 into 0 24.208 * [taylor]: Taking taylor expansion of 0 in lambda1 24.208 * [backup-simplify]: Simplify 0 into 0 24.208 * [backup-simplify]: Simplify 0 into 0 24.208 * [taylor]: Taking taylor expansion of 0 in lambda2 24.208 * [backup-simplify]: Simplify 0 into 0 24.208 * [taylor]: Taking taylor expansion of 0 in lambda1 24.208 * [backup-simplify]: Simplify 0 into 0 24.208 * [backup-simplify]: Simplify 0 into 0 24.208 * [taylor]: Taking taylor expansion of 0 in lambda1 24.208 * [backup-simplify]: Simplify 0 into 0 24.208 * [backup-simplify]: Simplify 0 into 0 24.208 * [backup-simplify]: Simplify 0 into 0 24.208 * [taylor]: Taking taylor expansion of 0 in phi1 24.208 * [backup-simplify]: Simplify 0 into 0 24.208 * [taylor]: Taking taylor expansion of 0 in lambda2 24.208 * [backup-simplify]: Simplify 0 into 0 24.208 * [taylor]: Taking taylor expansion of 0 in lambda1 24.208 * [backup-simplify]: Simplify 0 into 0 24.208 * [backup-simplify]: Simplify 0 into 0 24.208 * [taylor]: Taking taylor expansion of 0 in lambda2 24.208 * [backup-simplify]: Simplify 0 into 0 24.208 * [taylor]: Taking taylor expansion of 0 in lambda1 24.208 * [backup-simplify]: Simplify 0 into 0 24.208 * [backup-simplify]: Simplify 0 into 0 24.209 * [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))))) 24.210 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi1)) (* (+ (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ 1 phi2)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 24.210 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in (phi2 phi1 lambda2 lambda1) around 0 24.210 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda1 24.210 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 24.210 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda2 24.211 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 24.211 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi1 24.212 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 24.212 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi2 24.213 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 24.213 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi2 24.214 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 24.214 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi1 24.215 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 24.215 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda2 24.216 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 24.216 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda1 24.216 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 24.217 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 24.217 * [taylor]: Taking taylor expansion of 0 in phi1 24.217 * [backup-simplify]: Simplify 0 into 0 24.217 * [taylor]: Taking taylor expansion of 0 in lambda2 24.217 * [backup-simplify]: Simplify 0 into 0 24.217 * [taylor]: Taking taylor expansion of 0 in lambda1 24.217 * [backup-simplify]: Simplify 0 into 0 24.217 * [backup-simplify]: Simplify 0 into 0 24.217 * [taylor]: Taking taylor expansion of 0 in lambda2 24.217 * [backup-simplify]: Simplify 0 into 0 24.218 * [taylor]: Taking taylor expansion of 0 in lambda1 24.218 * [backup-simplify]: Simplify 0 into 0 24.218 * [backup-simplify]: Simplify 0 into 0 24.218 * [taylor]: Taking taylor expansion of 0 in lambda1 24.218 * [backup-simplify]: Simplify 0 into 0 24.218 * [backup-simplify]: Simplify 0 into 0 24.218 * [backup-simplify]: Simplify 0 into 0 24.218 * [taylor]: Taking taylor expansion of 0 in phi1 24.218 * [backup-simplify]: Simplify 0 into 0 24.218 * [taylor]: Taking taylor expansion of 0 in lambda2 24.218 * [backup-simplify]: Simplify 0 into 0 24.218 * [taylor]: Taking taylor expansion of 0 in lambda1 24.218 * [backup-simplify]: Simplify 0 into 0 24.218 * [backup-simplify]: Simplify 0 into 0 24.218 * [taylor]: Taking taylor expansion of 0 in lambda2 24.218 * [backup-simplify]: Simplify 0 into 0 24.218 * [taylor]: Taking taylor expansion of 0 in lambda1 24.218 * [backup-simplify]: Simplify 0 into 0 24.218 * [backup-simplify]: Simplify 0 into 0 24.219 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 24.220 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (cos (/ 1 (- phi1))) (* (+ (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (cos (/ 1 (- phi2))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 24.220 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in (phi2 phi1 lambda2 lambda1) around 0 24.220 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 24.221 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 24.221 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 24.221 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 24.221 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 24.222 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 24.222 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 24.223 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 24.223 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 24.224 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 24.224 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi1 24.224 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 24.225 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 24.225 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 24.226 * [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 lambda2)) (cos (/ -1 phi2)))))))) in lambda1 24.226 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 24.227 * [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)))))))) 24.227 * [taylor]: Taking taylor expansion of 0 in phi1 24.227 * [backup-simplify]: Simplify 0 into 0 24.227 * [taylor]: Taking taylor expansion of 0 in lambda2 24.227 * [backup-simplify]: Simplify 0 into 0 24.227 * [taylor]: Taking taylor expansion of 0 in lambda1 24.227 * [backup-simplify]: Simplify 0 into 0 24.227 * [backup-simplify]: Simplify 0 into 0 24.227 * [taylor]: Taking taylor expansion of 0 in lambda2 24.227 * [backup-simplify]: Simplify 0 into 0 24.228 * [taylor]: Taking taylor expansion of 0 in lambda1 24.228 * [backup-simplify]: Simplify 0 into 0 24.228 * [backup-simplify]: Simplify 0 into 0 24.228 * [taylor]: Taking taylor expansion of 0 in lambda1 24.228 * [backup-simplify]: Simplify 0 into 0 24.228 * [backup-simplify]: Simplify 0 into 0 24.228 * [backup-simplify]: Simplify 0 into 0 24.228 * [taylor]: Taking taylor expansion of 0 in phi1 24.228 * [backup-simplify]: Simplify 0 into 0 24.228 * [taylor]: Taking taylor expansion of 0 in lambda2 24.228 * [backup-simplify]: Simplify 0 into 0 24.228 * [taylor]: Taking taylor expansion of 0 in lambda1 24.228 * [backup-simplify]: Simplify 0 into 0 24.228 * [backup-simplify]: Simplify 0 into 0 24.228 * [taylor]: Taking taylor expansion of 0 in lambda2 24.228 * [backup-simplify]: Simplify 0 into 0 24.228 * [taylor]: Taking taylor expansion of 0 in lambda1 24.228 * [backup-simplify]: Simplify 0 into 0 24.228 * [backup-simplify]: Simplify 0 into 0 24.229 * [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))))) 24.229 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 1 2) 24.229 * [backup-simplify]: Simplify (* (sin lambda1) (sin lambda2)) into (* (sin lambda1) (sin lambda2)) 24.229 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 24.229 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 24.229 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 24.229 * [taylor]: Taking taylor expansion of lambda1 in lambda2 24.230 * [backup-simplify]: Simplify lambda1 into lambda1 24.230 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 24.230 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 24.230 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 24.230 * [taylor]: Taking taylor expansion of lambda2 in lambda2 24.230 * [backup-simplify]: Simplify 0 into 0 24.230 * [backup-simplify]: Simplify 1 into 1 24.230 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 24.230 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 24.230 * [taylor]: Taking taylor expansion of lambda1 in lambda1 24.230 * [backup-simplify]: Simplify 0 into 0 24.230 * [backup-simplify]: Simplify 1 into 1 24.230 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 24.230 * [taylor]: Taking taylor expansion of lambda2 in lambda1 24.230 * [backup-simplify]: Simplify lambda2 into lambda2 24.230 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 24.230 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 24.230 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 24.230 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 24.230 * [taylor]: Taking taylor expansion of lambda1 in lambda1 24.230 * [backup-simplify]: Simplify 0 into 0 24.230 * [backup-simplify]: Simplify 1 into 1 24.230 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 24.230 * [taylor]: Taking taylor expansion of lambda2 in lambda1 24.230 * [backup-simplify]: Simplify lambda2 into lambda2 24.230 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 24.230 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 24.230 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 24.231 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 24.231 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 24.231 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0 24.231 * [taylor]: Taking taylor expansion of 0 in lambda2 24.231 * [backup-simplify]: Simplify 0 into 0 24.231 * [backup-simplify]: Simplify 0 into 0 24.232 * [backup-simplify]: Simplify (+ 0) into 0 24.232 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 24.233 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 24.233 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 24.234 * [backup-simplify]: Simplify (+ 0 0) into 0 24.234 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 24.235 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2) 24.235 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 24.235 * [taylor]: Taking taylor expansion of lambda2 in lambda2 24.235 * [backup-simplify]: Simplify 0 into 0 24.235 * [backup-simplify]: Simplify 1 into 1 24.235 * [backup-simplify]: Simplify 0 into 0 24.235 * [backup-simplify]: Simplify 0 into 0 24.236 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 24.237 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 24.238 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 24.238 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 24.238 * [backup-simplify]: Simplify (+ 0 0) into 0 24.239 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 24.240 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0 24.240 * [taylor]: Taking taylor expansion of 0 in lambda2 24.240 * [backup-simplify]: Simplify 0 into 0 24.240 * [backup-simplify]: Simplify 0 into 0 24.241 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 24.241 * [backup-simplify]: Simplify 1 into 1 24.241 * [backup-simplify]: Simplify 0 into 0 24.242 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 24.243 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.244 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 24.245 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 24.245 * [backup-simplify]: Simplify (+ 0 0) into 0 24.247 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 24.248 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda2))))) into (- (* 1/6 (sin lambda2))) 24.248 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 24.248 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 24.248 * [taylor]: Taking taylor expansion of 1/6 in lambda2 24.249 * [backup-simplify]: Simplify 1/6 into 1/6 24.249 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 24.249 * [taylor]: Taking taylor expansion of lambda2 in lambda2 24.249 * [backup-simplify]: Simplify 0 into 0 24.249 * [backup-simplify]: Simplify 1 into 1 24.249 * [backup-simplify]: Simplify (* 1/6 0) into 0 24.249 * [backup-simplify]: Simplify (- 0) into 0 24.249 * [backup-simplify]: Simplify 0 into 0 24.250 * [backup-simplify]: Simplify 0 into 0 24.250 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 24.250 * [backup-simplify]: Simplify 0 into 0 24.250 * [backup-simplify]: Simplify 0 into 0 24.253 * [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 24.254 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 24.256 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 24.257 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 24.257 * [backup-simplify]: Simplify (+ 0 0) into 0 24.258 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 24.260 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda2)))))) into 0 24.260 * [taylor]: Taking taylor expansion of 0 in lambda2 24.260 * [backup-simplify]: Simplify 0 into 0 24.260 * [backup-simplify]: Simplify 0 into 0 24.260 * [backup-simplify]: Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1) 24.261 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 24.261 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in (lambda1 lambda2) around 0 24.261 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 24.261 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 24.261 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 24.261 * [taylor]: Taking taylor expansion of lambda2 in lambda2 24.261 * [backup-simplify]: Simplify 0 into 0 24.261 * [backup-simplify]: Simplify 1 into 1 24.261 * [backup-simplify]: Simplify (/ 1 1) into 1 24.261 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 24.261 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 24.261 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 24.261 * [taylor]: Taking taylor expansion of lambda1 in lambda2 24.261 * [backup-simplify]: Simplify lambda1 into lambda1 24.262 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 24.262 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 24.262 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 24.262 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 24.262 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 24.262 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 24.262 * [taylor]: Taking taylor expansion of lambda2 in lambda1 24.262 * [backup-simplify]: Simplify lambda2 into lambda2 24.262 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 24.262 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 24.262 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 24.262 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 24.262 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 24.262 * [taylor]: Taking taylor expansion of lambda1 in lambda1 24.262 * [backup-simplify]: Simplify 0 into 0 24.262 * [backup-simplify]: Simplify 1 into 1 24.263 * [backup-simplify]: Simplify (/ 1 1) into 1 24.263 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 24.263 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 24.263 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 24.263 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 24.263 * [taylor]: Taking taylor expansion of lambda2 in lambda1 24.263 * [backup-simplify]: Simplify lambda2 into lambda2 24.263 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 24.263 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 24.263 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 24.263 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 24.263 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 24.263 * [taylor]: Taking taylor expansion of lambda1 in lambda1 24.263 * [backup-simplify]: Simplify 0 into 0 24.263 * [backup-simplify]: Simplify 1 into 1 24.264 * [backup-simplify]: Simplify (/ 1 1) into 1 24.264 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 24.264 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 24.264 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 24.264 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 24.264 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 24.264 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 24.264 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 24.264 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 24.264 * [taylor]: Taking taylor expansion of lambda2 in lambda2 24.264 * [backup-simplify]: Simplify 0 into 0 24.264 * [backup-simplify]: Simplify 1 into 1 24.264 * [backup-simplify]: Simplify (/ 1 1) into 1 24.264 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 24.264 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 24.264 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 24.264 * [taylor]: Taking taylor expansion of lambda1 in lambda2 24.264 * [backup-simplify]: Simplify lambda1 into lambda1 24.264 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 24.264 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 24.264 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 24.264 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 24.265 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 24.265 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 24.265 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 24.265 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 24.265 * [backup-simplify]: Simplify (+ 0) into 0 24.265 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 24.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 24.266 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 24.266 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 24.266 * [backup-simplify]: Simplify (+ 0 0) into 0 24.266 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 24.266 * [taylor]: Taking taylor expansion of 0 in lambda2 24.267 * [backup-simplify]: Simplify 0 into 0 24.267 * [backup-simplify]: Simplify 0 into 0 24.267 * [backup-simplify]: Simplify (+ 0) into 0 24.267 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 24.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 24.268 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 24.268 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 24.268 * [backup-simplify]: Simplify (+ 0 0) into 0 24.268 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 24.268 * [backup-simplify]: Simplify 0 into 0 24.269 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 24.269 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 24.269 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 24.270 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 24.270 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 24.270 * [backup-simplify]: Simplify (+ 0 0) into 0 24.271 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 24.271 * [taylor]: Taking taylor expansion of 0 in lambda2 24.271 * [backup-simplify]: Simplify 0 into 0 24.271 * [backup-simplify]: Simplify 0 into 0 24.271 * [backup-simplify]: Simplify 0 into 0 24.271 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 24.272 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 24.272 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 24.272 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 24.273 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 24.273 * [backup-simplify]: Simplify (+ 0 0) into 0 24.273 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 24.273 * [backup-simplify]: Simplify 0 into 0 24.274 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 24.274 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 24.275 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 24.276 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 24.276 * [backup-simplify]: Simplify (+ 0 0) into 0 24.277 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0 24.277 * [taylor]: Taking taylor expansion of 0 in lambda2 24.277 * [backup-simplify]: Simplify 0 into 0 24.277 * [backup-simplify]: Simplify 0 into 0 24.277 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))) into (* (sin lambda2) (sin lambda1)) 24.277 * [backup-simplify]: Simplify (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 24.277 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 24.277 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 24.277 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 24.277 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 24.277 * [taylor]: Taking taylor expansion of -1 in lambda2 24.277 * [backup-simplify]: Simplify -1 into -1 24.277 * [taylor]: Taking taylor expansion of lambda1 in lambda2 24.277 * [backup-simplify]: Simplify lambda1 into lambda1 24.277 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 24.277 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 24.277 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 24.277 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 24.277 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 24.277 * [taylor]: Taking taylor expansion of -1 in lambda2 24.277 * [backup-simplify]: Simplify -1 into -1 24.277 * [taylor]: Taking taylor expansion of lambda2 in lambda2 24.277 * [backup-simplify]: Simplify 0 into 0 24.277 * [backup-simplify]: Simplify 1 into 1 24.277 * [backup-simplify]: Simplify (/ -1 1) into -1 24.277 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 24.278 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 24.278 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 24.278 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 24.278 * [taylor]: Taking taylor expansion of -1 in lambda1 24.278 * [backup-simplify]: Simplify -1 into -1 24.278 * [taylor]: Taking taylor expansion of lambda1 in lambda1 24.278 * [backup-simplify]: Simplify 0 into 0 24.278 * [backup-simplify]: Simplify 1 into 1 24.278 * [backup-simplify]: Simplify (/ -1 1) into -1 24.278 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 24.278 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 24.278 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 24.278 * [taylor]: Taking taylor expansion of -1 in lambda1 24.278 * [backup-simplify]: Simplify -1 into -1 24.278 * [taylor]: Taking taylor expansion of lambda2 in lambda1 24.278 * [backup-simplify]: Simplify lambda2 into lambda2 24.278 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 24.278 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 24.278 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 24.278 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 24.278 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 24.278 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 24.278 * [taylor]: Taking taylor expansion of -1 in lambda1 24.278 * [backup-simplify]: Simplify -1 into -1 24.278 * [taylor]: Taking taylor expansion of lambda1 in lambda1 24.278 * [backup-simplify]: Simplify 0 into 0 24.278 * [backup-simplify]: Simplify 1 into 1 24.279 * [backup-simplify]: Simplify (/ -1 1) into -1 24.279 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 24.279 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 24.279 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 24.279 * [taylor]: Taking taylor expansion of -1 in lambda1 24.279 * [backup-simplify]: Simplify -1 into -1 24.279 * [taylor]: Taking taylor expansion of lambda2 in lambda1 24.279 * [backup-simplify]: Simplify lambda2 into lambda2 24.279 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 24.279 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 24.279 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 24.279 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 24.279 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 24.279 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 24.279 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 24.279 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 24.279 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 24.279 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 24.279 * [taylor]: Taking taylor expansion of -1 in lambda2 24.279 * [backup-simplify]: Simplify -1 into -1 24.279 * [taylor]: Taking taylor expansion of lambda1 in lambda2 24.279 * [backup-simplify]: Simplify lambda1 into lambda1 24.279 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 24.279 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 24.279 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 24.279 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 24.280 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 24.280 * [taylor]: Taking taylor expansion of -1 in lambda2 24.280 * [backup-simplify]: Simplify -1 into -1 24.280 * [taylor]: Taking taylor expansion of lambda2 in lambda2 24.280 * [backup-simplify]: Simplify 0 into 0 24.280 * [backup-simplify]: Simplify 1 into 1 24.280 * [backup-simplify]: Simplify (/ -1 1) into -1 24.280 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 24.280 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 24.280 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 24.280 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 24.280 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 24.280 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 24.280 * [backup-simplify]: Simplify (+ 0) into 0 24.281 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 24.281 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 24.281 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 24.282 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 24.282 * [backup-simplify]: Simplify (+ 0 0) into 0 24.282 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 24.282 * [taylor]: Taking taylor expansion of 0 in lambda2 24.282 * [backup-simplify]: Simplify 0 into 0 24.282 * [backup-simplify]: Simplify 0 into 0 24.282 * [backup-simplify]: Simplify (+ 0) into 0 24.283 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 24.283 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 24.283 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 24.283 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 24.284 * [backup-simplify]: Simplify (+ 0 0) into 0 24.284 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 24.284 * [backup-simplify]: Simplify 0 into 0 24.284 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 24.285 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 24.285 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 24.285 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 24.286 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 24.286 * [backup-simplify]: Simplify (+ 0 0) into 0 24.286 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 24.286 * [taylor]: Taking taylor expansion of 0 in lambda2 24.286 * [backup-simplify]: Simplify 0 into 0 24.286 * [backup-simplify]: Simplify 0 into 0 24.286 * [backup-simplify]: Simplify 0 into 0 24.287 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 24.287 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 24.287 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 24.288 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 24.288 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 24.288 * [backup-simplify]: Simplify (+ 0 0) into 0 24.289 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 24.289 * [backup-simplify]: Simplify 0 into 0 24.289 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 24.290 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.290 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 24.291 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 24.291 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 24.292 * [backup-simplify]: Simplify (+ 0 0) into 0 24.293 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 24.293 * [taylor]: Taking taylor expansion of 0 in lambda2 24.293 * [backup-simplify]: Simplify 0 into 0 24.293 * [backup-simplify]: Simplify 0 into 0 24.293 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2)) 24.293 * * * * [progress]: [ 3 / 4 ] generating series at (2) 24.294 * [backup-simplify]: Simplify (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 24.294 * [approximate]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in (R phi2 phi1 lambda2 lambda1) around 0 24.294 * [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 24.294 * [taylor]: Taking taylor expansion of R in lambda1 24.294 * [backup-simplify]: Simplify R into R 24.294 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 24.294 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 24.294 * [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 24.294 * [taylor]: Taking taylor expansion of R in lambda2 24.295 * [backup-simplify]: Simplify R into R 24.295 * [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 24.295 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 24.295 * [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 24.295 * [taylor]: Taking taylor expansion of R in phi1 24.295 * [backup-simplify]: Simplify R into R 24.295 * [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 24.296 * [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))))) 24.296 * [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 24.296 * [taylor]: Taking taylor expansion of R in phi2 24.296 * [backup-simplify]: Simplify R into R 24.296 * [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 24.297 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 24.297 * [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 24.297 * [taylor]: Taking taylor expansion of R in R 24.297 * [backup-simplify]: Simplify 0 into 0 24.297 * [backup-simplify]: Simplify 1 into 1 24.297 * [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 24.297 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 24.297 * [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 24.298 * [taylor]: Taking taylor expansion of R in R 24.298 * [backup-simplify]: Simplify 0 into 0 24.298 * [backup-simplify]: Simplify 1 into 1 24.298 * [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 24.298 * [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))))) 24.299 * [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 24.299 * [taylor]: Taking taylor expansion of 0 in phi2 24.299 * [backup-simplify]: Simplify 0 into 0 24.299 * [taylor]: Taking taylor expansion of 0 in phi1 24.299 * [backup-simplify]: Simplify 0 into 0 24.299 * [taylor]: Taking taylor expansion of 0 in lambda2 24.299 * [backup-simplify]: Simplify 0 into 0 24.299 * [taylor]: Taking taylor expansion of 0 in lambda1 24.299 * [backup-simplify]: Simplify 0 into 0 24.299 * [backup-simplify]: Simplify 0 into 0 24.300 * [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))))) 24.300 * [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 24.301 * [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))))) 24.301 * [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 24.302 * [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))))) 24.302 * [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 24.302 * [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))))) 24.302 * [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 24.303 * [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))))) 24.304 * [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))))) 24.304 * [taylor]: Taking taylor expansion of 0 in phi1 24.304 * [backup-simplify]: Simplify 0 into 0 24.304 * [taylor]: Taking taylor expansion of 0 in lambda2 24.304 * [backup-simplify]: Simplify 0 into 0 24.304 * [taylor]: Taking taylor expansion of 0 in lambda1 24.304 * [backup-simplify]: Simplify 0 into 0 24.304 * [backup-simplify]: Simplify 0 into 0 24.304 * [taylor]: Taking taylor expansion of 0 in lambda2 24.304 * [backup-simplify]: Simplify 0 into 0 24.304 * [taylor]: Taking taylor expansion of 0 in lambda1 24.304 * [backup-simplify]: Simplify 0 into 0 24.304 * [backup-simplify]: Simplify 0 into 0 24.304 * [taylor]: Taking taylor expansion of 0 in lambda1 24.304 * [backup-simplify]: Simplify 0 into 0 24.304 * [backup-simplify]: Simplify 0 into 0 24.304 * [backup-simplify]: Simplify 0 into 0 24.306 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 24.306 * [taylor]: Taking taylor expansion of 0 in phi2 24.306 * [backup-simplify]: Simplify 0 into 0 24.306 * [taylor]: Taking taylor expansion of 0 in phi1 24.306 * [backup-simplify]: Simplify 0 into 0 24.306 * [taylor]: Taking taylor expansion of 0 in lambda2 24.306 * [backup-simplify]: Simplify 0 into 0 24.306 * [taylor]: Taking taylor expansion of 0 in lambda1 24.306 * [backup-simplify]: Simplify 0 into 0 24.306 * [backup-simplify]: Simplify 0 into 0 24.306 * [taylor]: Taking taylor expansion of 0 in phi1 24.306 * [backup-simplify]: Simplify 0 into 0 24.306 * [taylor]: Taking taylor expansion of 0 in lambda2 24.306 * [backup-simplify]: Simplify 0 into 0 24.306 * [taylor]: Taking taylor expansion of 0 in lambda1 24.306 * [backup-simplify]: Simplify 0 into 0 24.306 * [backup-simplify]: Simplify 0 into 0 24.307 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* 1 (* 1 (* 1 (* 1 R))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 24.308 * [backup-simplify]: Simplify (* (/ 1 R) (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi1)) (* (+ (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ 1 phi2))))))) into (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) 24.308 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in (R phi2 phi1 lambda2 lambda1) around 0 24.308 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in lambda1 24.308 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda1 24.309 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 24.309 * [taylor]: Taking taylor expansion of R in lambda1 24.309 * [backup-simplify]: Simplify R into R 24.310 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) 24.310 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in lambda2 24.310 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda2 24.310 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 24.310 * [taylor]: Taking taylor expansion of R in lambda2 24.310 * [backup-simplify]: Simplify R into R 24.311 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) 24.311 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in phi1 24.311 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi1 24.312 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 24.312 * [taylor]: Taking taylor expansion of R in phi1 24.312 * [backup-simplify]: Simplify R into R 24.313 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) 24.313 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in phi2 24.313 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi2 24.314 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 24.314 * [taylor]: Taking taylor expansion of R in phi2 24.314 * [backup-simplify]: Simplify R into R 24.315 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) 24.315 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in R 24.315 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in R 24.316 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 24.316 * [taylor]: Taking taylor expansion of R in R 24.316 * [backup-simplify]: Simplify 0 into 0 24.316 * [backup-simplify]: Simplify 1 into 1 24.316 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 1) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 24.317 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in R 24.317 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in R 24.317 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 24.317 * [taylor]: Taking taylor expansion of R in R 24.317 * [backup-simplify]: Simplify 0 into 0 24.317 * [backup-simplify]: Simplify 1 into 1 24.318 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 1) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 24.318 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi2 24.319 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 24.319 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi1 24.320 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 24.320 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda2 24.320 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 24.321 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda1 24.321 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 24.322 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 24.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) (/ 0 1)))) into 0 24.324 * [taylor]: Taking taylor expansion of 0 in phi2 24.324 * [backup-simplify]: Simplify 0 into 0 24.324 * [taylor]: Taking taylor expansion of 0 in phi1 24.324 * [backup-simplify]: Simplify 0 into 0 24.324 * [taylor]: Taking taylor expansion of 0 in lambda2 24.324 * [backup-simplify]: Simplify 0 into 0 24.324 * [taylor]: Taking taylor expansion of 0 in lambda1 24.324 * [backup-simplify]: Simplify 0 into 0 24.325 * [backup-simplify]: Simplify 0 into 0 24.325 * [taylor]: Taking taylor expansion of 0 in phi1 24.325 * [backup-simplify]: Simplify 0 into 0 24.325 * [taylor]: Taking taylor expansion of 0 in lambda2 24.325 * [backup-simplify]: Simplify 0 into 0 24.325 * [taylor]: Taking taylor expansion of 0 in lambda1 24.325 * [backup-simplify]: Simplify 0 into 0 24.325 * [backup-simplify]: Simplify 0 into 0 24.325 * [taylor]: Taking taylor expansion of 0 in lambda2 24.325 * [backup-simplify]: Simplify 0 into 0 24.325 * [taylor]: Taking taylor expansion of 0 in lambda1 24.325 * [backup-simplify]: Simplify 0 into 0 24.325 * [backup-simplify]: Simplify 0 into 0 24.325 * [taylor]: Taking taylor expansion of 0 in lambda1 24.325 * [backup-simplify]: Simplify 0 into 0 24.325 * [backup-simplify]: Simplify 0 into 0 24.325 * [backup-simplify]: Simplify 0 into 0 24.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.328 * [taylor]: Taking taylor expansion of 0 in phi2 24.328 * [backup-simplify]: Simplify 0 into 0 24.328 * [taylor]: Taking taylor expansion of 0 in phi1 24.328 * [backup-simplify]: Simplify 0 into 0 24.328 * [taylor]: Taking taylor expansion of 0 in lambda2 24.328 * [backup-simplify]: Simplify 0 into 0 24.328 * [taylor]: Taking taylor expansion of 0 in lambda1 24.328 * [backup-simplify]: Simplify 0 into 0 24.328 * [backup-simplify]: Simplify 0 into 0 24.329 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1))))))) (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 R))))))) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 24.330 * [backup-simplify]: Simplify (* (/ 1 (- R)) (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (cos (/ 1 (- phi1))) (* (+ (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (cos (/ 1 (- phi2)))))))) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 24.330 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in (R phi2 phi1 lambda2 lambda1) around 0 24.330 * [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 24.330 * [taylor]: Taking taylor expansion of -1 in lambda1 24.330 * [backup-simplify]: Simplify -1 into -1 24.330 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 24.330 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 24.331 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 24.331 * [taylor]: Taking taylor expansion of R in lambda1 24.331 * [backup-simplify]: Simplify R into R 24.332 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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) 24.332 * [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 24.332 * [taylor]: Taking taylor expansion of -1 in lambda2 24.332 * [backup-simplify]: Simplify -1 into -1 24.332 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 24.332 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 24.334 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 24.334 * [taylor]: Taking taylor expansion of R in lambda2 24.334 * [backup-simplify]: Simplify R into R 24.335 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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) 24.335 * [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 24.335 * [taylor]: Taking taylor expansion of -1 in phi1 24.335 * [backup-simplify]: Simplify -1 into -1 24.335 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 24.335 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 24.336 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 24.336 * [taylor]: Taking taylor expansion of R in phi1 24.336 * [backup-simplify]: Simplify R into R 24.337 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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) 24.337 * [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 24.337 * [taylor]: Taking taylor expansion of -1 in phi2 24.337 * [backup-simplify]: Simplify -1 into -1 24.337 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 24.337 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 24.338 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 24.338 * [taylor]: Taking taylor expansion of R in phi2 24.338 * [backup-simplify]: Simplify R into R 24.339 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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) 24.339 * [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 24.339 * [taylor]: Taking taylor expansion of -1 in R 24.339 * [backup-simplify]: Simplify -1 into -1 24.339 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 24.339 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 24.339 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 24.340 * [taylor]: Taking taylor expansion of R in R 24.340 * [backup-simplify]: Simplify 0 into 0 24.340 * [backup-simplify]: Simplify 1 into 1 24.340 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 24.340 * [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 24.340 * [taylor]: Taking taylor expansion of -1 in R 24.340 * [backup-simplify]: Simplify -1 into -1 24.341 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 24.341 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 24.341 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 24.341 * [taylor]: Taking taylor expansion of R in R 24.341 * [backup-simplify]: Simplify 0 into 0 24.341 * [backup-simplify]: Simplify 1 into 1 24.342 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 24.343 * [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))))))))) 24.343 * [taylor]: Taking taylor expansion of (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) in phi2 24.343 * [taylor]: Taking taylor expansion of -1 in phi2 24.343 * [backup-simplify]: Simplify -1 into -1 24.343 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 24.344 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 24.345 * [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))))))))) 24.345 * [taylor]: Taking taylor expansion of (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) in phi1 24.345 * [taylor]: Taking taylor expansion of -1 in phi1 24.345 * [backup-simplify]: Simplify -1 into -1 24.345 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi1 24.346 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 24.346 * [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))))))))) 24.346 * [taylor]: Taking taylor expansion of (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) in lambda2 24.347 * [taylor]: Taking taylor expansion of -1 in lambda2 24.347 * [backup-simplify]: Simplify -1 into -1 24.347 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 24.347 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 24.348 * [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))))))))) 24.348 * [taylor]: Taking taylor expansion of (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) in lambda1 24.348 * [taylor]: Taking taylor expansion of -1 in lambda1 24.348 * [backup-simplify]: Simplify -1 into -1 24.348 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda1 24.349 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 24.350 * [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))))))))) 24.351 * [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))))))))) 24.353 * [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 24.354 * [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 24.354 * [taylor]: Taking taylor expansion of 0 in phi2 24.354 * [backup-simplify]: Simplify 0 into 0 24.354 * [taylor]: Taking taylor expansion of 0 in phi1 24.354 * [backup-simplify]: Simplify 0 into 0 24.354 * [taylor]: Taking taylor expansion of 0 in lambda2 24.354 * [backup-simplify]: Simplify 0 into 0 24.354 * [taylor]: Taking taylor expansion of 0 in lambda1 24.354 * [backup-simplify]: Simplify 0 into 0 24.354 * [backup-simplify]: Simplify 0 into 0 24.355 * [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 24.355 * [taylor]: Taking taylor expansion of 0 in phi1 24.355 * [backup-simplify]: Simplify 0 into 0 24.355 * [taylor]: Taking taylor expansion of 0 in lambda2 24.355 * [backup-simplify]: Simplify 0 into 0 24.356 * [taylor]: Taking taylor expansion of 0 in lambda1 24.356 * [backup-simplify]: Simplify 0 into 0 24.356 * [backup-simplify]: Simplify 0 into 0 24.357 * [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 24.357 * [taylor]: Taking taylor expansion of 0 in lambda2 24.357 * [backup-simplify]: Simplify 0 into 0 24.357 * [taylor]: Taking taylor expansion of 0 in lambda1 24.357 * [backup-simplify]: Simplify 0 into 0 24.357 * [backup-simplify]: Simplify 0 into 0 24.358 * [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 24.358 * [taylor]: Taking taylor expansion of 0 in lambda1 24.358 * [backup-simplify]: Simplify 0 into 0 24.358 * [backup-simplify]: Simplify 0 into 0 24.360 * [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 24.360 * [backup-simplify]: Simplify 0 into 0 24.362 * [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 24.364 * [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 24.364 * [taylor]: Taking taylor expansion of 0 in phi2 24.364 * [backup-simplify]: Simplify 0 into 0 24.364 * [taylor]: Taking taylor expansion of 0 in phi1 24.364 * [backup-simplify]: Simplify 0 into 0 24.364 * [taylor]: Taking taylor expansion of 0 in lambda2 24.364 * [backup-simplify]: Simplify 0 into 0 24.364 * [taylor]: Taking taylor expansion of 0 in lambda1 24.364 * [backup-simplify]: Simplify 0 into 0 24.364 * [backup-simplify]: Simplify 0 into 0 24.366 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))))))) (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 (- R)))))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 24.366 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 24.366 * [backup-simplify]: Simplify (* (sin phi2) (sin phi1)) into (* (sin phi1) (sin phi2)) 24.366 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi2 phi1) around 0 24.366 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 24.366 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 24.366 * [taylor]: Taking taylor expansion of phi1 in phi1 24.366 * [backup-simplify]: Simplify 0 into 0 24.366 * [backup-simplify]: Simplify 1 into 1 24.366 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 24.366 * [taylor]: Taking taylor expansion of phi2 in phi1 24.366 * [backup-simplify]: Simplify phi2 into phi2 24.366 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 24.366 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 24.366 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 24.366 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 24.366 * [taylor]: Taking taylor expansion of phi1 in phi2 24.366 * [backup-simplify]: Simplify phi1 into phi1 24.366 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 24.366 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 24.366 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 24.366 * [taylor]: Taking taylor expansion of phi2 in phi2 24.366 * [backup-simplify]: Simplify 0 into 0 24.366 * [backup-simplify]: Simplify 1 into 1 24.366 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 24.366 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 24.366 * [taylor]: Taking taylor expansion of phi1 in phi2 24.367 * [backup-simplify]: Simplify phi1 into phi1 24.367 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 24.367 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 24.367 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 24.367 * [taylor]: Taking taylor expansion of phi2 in phi2 24.367 * [backup-simplify]: Simplify 0 into 0 24.367 * [backup-simplify]: Simplify 1 into 1 24.367 * [backup-simplify]: Simplify (* (sin phi1) 1) into (sin phi1) 24.367 * [backup-simplify]: Simplify (* (cos phi1) 0) into 0 24.367 * [backup-simplify]: Simplify (+ (sin phi1) 0) into (sin phi1) 24.367 * [backup-simplify]: Simplify (* (sin phi1) 0) into 0 24.367 * [taylor]: Taking taylor expansion of 0 in phi1 24.367 * [backup-simplify]: Simplify 0 into 0 24.367 * [backup-simplify]: Simplify 0 into 0 24.368 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 24.368 * [backup-simplify]: Simplify (+ 0) into 0 24.369 * [backup-simplify]: Simplify (+ (* (sin phi1) 0) (* 0 1)) into 0 24.370 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 24.370 * [backup-simplify]: Simplify (+ (* (cos phi1) 0) (* 0 0)) into 0 24.370 * [backup-simplify]: Simplify (+ 0 0) into 0 24.371 * [backup-simplify]: Simplify (+ (* (sin phi1) 1) (* 0 0)) into (sin phi1) 24.371 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 24.371 * [taylor]: Taking taylor expansion of phi1 in phi1 24.371 * [backup-simplify]: Simplify 0 into 0 24.371 * [backup-simplify]: Simplify 1 into 1 24.371 * [backup-simplify]: Simplify 0 into 0 24.371 * [backup-simplify]: Simplify 0 into 0 24.372 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 24.373 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 24.373 * [backup-simplify]: Simplify (+ (* (sin phi1) 0) (+ (* 0 0) (* 0 1))) into 0 24.374 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 24.375 * [backup-simplify]: Simplify (+ (* (cos phi1) 0) (+ (* 0 0) (* 0 0))) into 0 24.375 * [backup-simplify]: Simplify (+ 0 0) into 0 24.376 * [backup-simplify]: Simplify (+ (* (sin phi1) 0) (+ (* 0 1) (* 0 0))) into 0 24.376 * [taylor]: Taking taylor expansion of 0 in phi1 24.376 * [backup-simplify]: Simplify 0 into 0 24.376 * [backup-simplify]: Simplify 0 into 0 24.376 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 24.377 * [backup-simplify]: Simplify 1 into 1 24.377 * [backup-simplify]: Simplify 0 into 0 24.378 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 24.379 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 24.380 * [backup-simplify]: Simplify (+ (* (sin phi1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.382 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 24.382 * [backup-simplify]: Simplify (+ (* (cos phi1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 24.383 * [backup-simplify]: Simplify (+ 0 0) into 0 24.384 * [backup-simplify]: Simplify (+ (* (sin phi1) -1/6) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into (- (* 1/6 (sin phi1))) 24.384 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi1))) in phi1 24.384 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi1)) in phi1 24.384 * [taylor]: Taking taylor expansion of 1/6 in phi1 24.384 * [backup-simplify]: Simplify 1/6 into 1/6 24.384 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 24.384 * [taylor]: Taking taylor expansion of phi1 in phi1 24.384 * [backup-simplify]: Simplify 0 into 0 24.384 * [backup-simplify]: Simplify 1 into 1 24.384 * [backup-simplify]: Simplify (* 1/6 0) into 0 24.385 * [backup-simplify]: Simplify (- 0) into 0 24.385 * [backup-simplify]: Simplify 0 into 0 24.385 * [backup-simplify]: Simplify 0 into 0 24.386 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 24.386 * [backup-simplify]: Simplify 0 into 0 24.386 * [backup-simplify]: Simplify 0 into 0 24.387 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 24.389 * [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 24.390 * [backup-simplify]: Simplify (+ (* (sin phi1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 24.392 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 24.392 * [backup-simplify]: Simplify (+ (* (cos phi1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 24.392 * [backup-simplify]: Simplify (+ 0 0) into 0 24.393 * [backup-simplify]: Simplify (+ (* (sin phi1) 0) (+ (* 0 -1/6) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 24.393 * [taylor]: Taking taylor expansion of 0 in phi1 24.393 * [backup-simplify]: Simplify 0 into 0 24.393 * [backup-simplify]: Simplify 0 into 0 24.393 * [backup-simplify]: Simplify (* 1 (* phi1 phi2)) into (* phi1 phi2) 24.393 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 24.393 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi2 phi1) around 0 24.393 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 24.393 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 24.393 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 24.393 * [taylor]: Taking taylor expansion of phi2 in phi1 24.393 * [backup-simplify]: Simplify phi2 into phi2 24.393 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 24.393 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 24.393 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 24.393 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 24.393 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 24.393 * [taylor]: Taking taylor expansion of phi1 in phi1 24.393 * [backup-simplify]: Simplify 0 into 0 24.393 * [backup-simplify]: Simplify 1 into 1 24.394 * [backup-simplify]: Simplify (/ 1 1) into 1 24.394 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 24.394 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 24.394 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 24.394 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 24.394 * [taylor]: Taking taylor expansion of phi2 in phi2 24.394 * [backup-simplify]: Simplify 0 into 0 24.394 * [backup-simplify]: Simplify 1 into 1 24.394 * [backup-simplify]: Simplify (/ 1 1) into 1 24.394 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 24.394 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 24.394 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 24.394 * [taylor]: Taking taylor expansion of phi1 in phi2 24.394 * [backup-simplify]: Simplify phi1 into phi1 24.394 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 24.394 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 24.394 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 24.394 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 24.394 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 24.394 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 24.394 * [taylor]: Taking taylor expansion of phi2 in phi2 24.394 * [backup-simplify]: Simplify 0 into 0 24.394 * [backup-simplify]: Simplify 1 into 1 24.395 * [backup-simplify]: Simplify (/ 1 1) into 1 24.395 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 24.395 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 24.395 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 24.395 * [taylor]: Taking taylor expansion of phi1 in phi2 24.395 * [backup-simplify]: Simplify phi1 into phi1 24.395 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 24.395 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 24.395 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 24.395 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 24.395 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 24.395 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 24.395 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 24.395 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 24.395 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 24.395 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 24.395 * [taylor]: Taking taylor expansion of phi2 in phi1 24.395 * [backup-simplify]: Simplify phi2 into phi2 24.395 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 24.395 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 24.395 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 24.395 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 24.395 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 24.395 * [taylor]: Taking taylor expansion of phi1 in phi1 24.395 * [backup-simplify]: Simplify 0 into 0 24.395 * [backup-simplify]: Simplify 1 into 1 24.396 * [backup-simplify]: Simplify (/ 1 1) into 1 24.396 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 24.396 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 24.396 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 24.396 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 24.396 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 24.396 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 24.396 * [backup-simplify]: Simplify (+ 0) into 0 24.397 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 24.397 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 24.397 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 24.397 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 24.398 * [backup-simplify]: Simplify (+ 0 0) into 0 24.398 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 24.398 * [taylor]: Taking taylor expansion of 0 in phi1 24.398 * [backup-simplify]: Simplify 0 into 0 24.398 * [backup-simplify]: Simplify 0 into 0 24.398 * [backup-simplify]: Simplify (+ 0) into 0 24.398 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 24.398 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 24.399 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 24.399 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 24.399 * [backup-simplify]: Simplify (+ 0 0) into 0 24.400 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 24.400 * [backup-simplify]: Simplify 0 into 0 24.400 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 24.401 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 24.401 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 24.401 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 24.402 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 24.402 * [backup-simplify]: Simplify (+ 0 0) into 0 24.402 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 24.402 * [taylor]: Taking taylor expansion of 0 in phi1 24.402 * [backup-simplify]: Simplify 0 into 0 24.402 * [backup-simplify]: Simplify 0 into 0 24.402 * [backup-simplify]: Simplify 0 into 0 24.403 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 24.403 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 24.403 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 24.404 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 24.404 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 24.405 * [backup-simplify]: Simplify (+ 0 0) into 0 24.405 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 24.405 * [backup-simplify]: Simplify 0 into 0 24.405 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 24.406 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 24.407 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 24.407 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 24.408 * [backup-simplify]: Simplify (+ 0 0) into 0 24.408 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0 24.408 * [taylor]: Taking taylor expansion of 0 in phi1 24.408 * [backup-simplify]: Simplify 0 into 0 24.408 * [backup-simplify]: Simplify 0 into 0 24.408 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2)) 24.408 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 24.408 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi2 phi1) around 0 24.408 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 24.408 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 24.408 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 24.408 * [taylor]: Taking taylor expansion of -1 in phi1 24.408 * [backup-simplify]: Simplify -1 into -1 24.408 * [taylor]: Taking taylor expansion of phi1 in phi1 24.408 * [backup-simplify]: Simplify 0 into 0 24.408 * [backup-simplify]: Simplify 1 into 1 24.409 * [backup-simplify]: Simplify (/ -1 1) into -1 24.409 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 24.409 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 24.409 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 24.409 * [taylor]: Taking taylor expansion of -1 in phi1 24.409 * [backup-simplify]: Simplify -1 into -1 24.409 * [taylor]: Taking taylor expansion of phi2 in phi1 24.409 * [backup-simplify]: Simplify phi2 into phi2 24.409 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 24.409 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 24.409 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 24.409 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 24.409 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 24.409 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 24.409 * [taylor]: Taking taylor expansion of -1 in phi2 24.409 * [backup-simplify]: Simplify -1 into -1 24.409 * [taylor]: Taking taylor expansion of phi1 in phi2 24.409 * [backup-simplify]: Simplify phi1 into phi1 24.409 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 24.409 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 24.409 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 24.409 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 24.409 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 24.409 * [taylor]: Taking taylor expansion of -1 in phi2 24.409 * [backup-simplify]: Simplify -1 into -1 24.409 * [taylor]: Taking taylor expansion of phi2 in phi2 24.409 * [backup-simplify]: Simplify 0 into 0 24.409 * [backup-simplify]: Simplify 1 into 1 24.410 * [backup-simplify]: Simplify (/ -1 1) into -1 24.410 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 24.410 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 24.410 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 24.410 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 24.410 * [taylor]: Taking taylor expansion of -1 in phi2 24.410 * [backup-simplify]: Simplify -1 into -1 24.410 * [taylor]: Taking taylor expansion of phi1 in phi2 24.410 * [backup-simplify]: Simplify phi1 into phi1 24.410 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 24.410 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 24.410 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 24.410 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 24.410 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 24.410 * [taylor]: Taking taylor expansion of -1 in phi2 24.410 * [backup-simplify]: Simplify -1 into -1 24.410 * [taylor]: Taking taylor expansion of phi2 in phi2 24.410 * [backup-simplify]: Simplify 0 into 0 24.410 * [backup-simplify]: Simplify 1 into 1 24.410 * [backup-simplify]: Simplify (/ -1 1) into -1 24.410 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 24.410 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 24.410 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 24.410 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 24.411 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 24.411 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 24.411 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 24.411 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 24.411 * [taylor]: Taking taylor expansion of -1 in phi1 24.411 * [backup-simplify]: Simplify -1 into -1 24.411 * [taylor]: Taking taylor expansion of phi1 in phi1 24.411 * [backup-simplify]: Simplify 0 into 0 24.411 * [backup-simplify]: Simplify 1 into 1 24.411 * [backup-simplify]: Simplify (/ -1 1) into -1 24.411 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 24.411 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 24.411 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 24.411 * [taylor]: Taking taylor expansion of -1 in phi1 24.411 * [backup-simplify]: Simplify -1 into -1 24.411 * [taylor]: Taking taylor expansion of phi2 in phi1 24.411 * [backup-simplify]: Simplify phi2 into phi2 24.411 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 24.411 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 24.411 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 24.411 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 24.411 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 24.411 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 24.411 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 24.411 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 24.412 * [backup-simplify]: Simplify (+ 0) into 0 24.412 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 24.412 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 24.413 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 24.413 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 24.413 * [backup-simplify]: Simplify (+ 0 0) into 0 24.413 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 24.413 * [taylor]: Taking taylor expansion of 0 in phi1 24.413 * [backup-simplify]: Simplify 0 into 0 24.413 * [backup-simplify]: Simplify 0 into 0 24.414 * [backup-simplify]: Simplify (+ 0) into 0 24.414 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 24.414 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 24.414 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 24.415 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 24.415 * [backup-simplify]: Simplify (+ 0 0) into 0 24.415 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 24.415 * [backup-simplify]: Simplify 0 into 0 24.416 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 24.416 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 24.416 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 24.417 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 24.417 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 24.417 * [backup-simplify]: Simplify (+ 0 0) into 0 24.418 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 24.418 * [taylor]: Taking taylor expansion of 0 in phi1 24.418 * [backup-simplify]: Simplify 0 into 0 24.418 * [backup-simplify]: Simplify 0 into 0 24.418 * [backup-simplify]: Simplify 0 into 0 24.418 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 24.419 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 24.419 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 24.419 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 24.420 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 24.420 * [backup-simplify]: Simplify (+ 0 0) into 0 24.421 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 24.421 * [backup-simplify]: Simplify 0 into 0 24.422 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 24.423 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.423 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 24.425 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 24.425 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 24.426 * [backup-simplify]: Simplify (+ 0 0) into 0 24.427 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 24.427 * [taylor]: Taking taylor expansion of 0 in phi1 24.427 * [backup-simplify]: Simplify 0 into 0 24.427 * [backup-simplify]: Simplify 0 into 0 24.427 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 24.427 * * * [progress]: simplifying candidates 24.427 * * * * [progress]: [ 1 / 80 ] simplifiying candidate # 24.427 * [simplify]: Simplifying (/ PI 2) 24.427 * * [simplify]: iters left: 2 (3 enodes) 24.429 * * [simplify]: iters left: 1 (9 enodes) 24.432 * * [simplify]: Extracting #0: cost 1 inf + 0 24.432 * * [simplify]: Extracting #1: cost 4 inf + 0 24.432 * * [simplify]: Extracting #2: cost 2 inf + 2 24.432 * * [simplify]: Extracting #3: cost 0 inf + 86 24.433 * [simplify]: Simplified to (/ PI 2) 24.433 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) 24.433 * [simplify]: Simplifying (asin (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))) 24.433 * * [simplify]: iters left: 6 (20 enodes) 24.441 * * [simplify]: iters left: 5 (69 enodes) 24.454 * * [simplify]: iters left: 4 (93 enodes) 24.471 * * [simplify]: iters left: 3 (186 enodes) 24.526 * * [simplify]: iters left: 2 (370 enodes) 24.646 * * [simplify]: iters left: 1 (475 enodes) 24.803 * * [simplify]: Extracting #0: cost 1 inf + 0 24.803 * * [simplify]: Extracting #1: cost 3 inf + 0 24.803 * * [simplify]: Extracting #2: cost 12 inf + 0 24.803 * * [simplify]: Extracting #3: cost 50 inf + 0 24.803 * * [simplify]: Extracting #4: cost 84 inf + 0 24.804 * * [simplify]: Extracting #5: cost 73 inf + 431 24.804 * * [simplify]: Extracting #6: cost 45 inf + 4963 24.807 * * [simplify]: Extracting #7: cost 13 inf + 14975 24.810 * * [simplify]: Extracting #8: cost 1 inf + 21450 24.814 * * [simplify]: Extracting #9: cost 0 inf + 22014 24.821 * [simplify]: Simplified to (asin (+ (* (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2)))) 24.821 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (/ PI 2) (asin (+ (* (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2))))))) 24.822 * * * * [progress]: [ 2 / 80 ] simplifiying candidate # 24.822 * * * * [progress]: [ 3 / 80 ] simplifiying candidate # 24.822 * [simplify]: Simplifying (log (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 24.822 * * [simplify]: iters left: 6 (21 enodes) 24.831 * * [simplify]: iters left: 5 (72 enodes) 24.851 * * [simplify]: iters left: 4 (96 enodes) 24.887 * * [simplify]: iters left: 3 (189 enodes) 24.947 * * [simplify]: iters left: 2 (377 enodes) 25.050 * * [simplify]: iters left: 1 (481 enodes) 25.202 * * [simplify]: Extracting #0: cost 1 inf + 0 25.202 * * [simplify]: Extracting #1: cost 3 inf + 0 25.202 * * [simplify]: Extracting #2: cost 5 inf + 0 25.202 * * [simplify]: Extracting #3: cost 14 inf + 0 25.202 * * [simplify]: Extracting #4: cost 54 inf + 0 25.203 * * [simplify]: Extracting #5: cost 88 inf + 0 25.204 * * [simplify]: Extracting #6: cost 76 inf + 492 25.205 * * [simplify]: Extracting #7: cost 53 inf + 4616 25.210 * * [simplify]: Extracting #8: cost 20 inf + 13887 25.217 * * [simplify]: Extracting #9: cost 4 inf + 20802 25.225 * * [simplify]: Extracting #10: cost 1 inf + 23434 25.233 * * [simplify]: Extracting #11: cost 0 inf + 24358 25.241 * [simplify]: Simplified to (log (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)))))) 25.241 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))))))))) 25.242 * * * * [progress]: [ 4 / 80 ] simplifiying candidate # 25.242 * [simplify]: Simplifying (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 25.242 * * [simplify]: iters left: 6 (21 enodes) 25.251 * * [simplify]: iters left: 5 (72 enodes) 25.270 * * [simplify]: iters left: 4 (96 enodes) 25.286 * * [simplify]: iters left: 3 (189 enodes) 25.349 * * [simplify]: iters left: 2 (377 enodes) 25.469 * * [simplify]: iters left: 1 (481 enodes) 25.613 * * [simplify]: Extracting #0: cost 1 inf + 0 25.613 * * [simplify]: Extracting #1: cost 3 inf + 0 25.613 * * [simplify]: Extracting #2: cost 5 inf + 0 25.613 * * [simplify]: Extracting #3: cost 14 inf + 0 25.613 * * [simplify]: Extracting #4: cost 54 inf + 0 25.614 * * [simplify]: Extracting #5: cost 88 inf + 0 25.615 * * [simplify]: Extracting #6: cost 76 inf + 492 25.616 * * [simplify]: Extracting #7: cost 53 inf + 4616 25.618 * * [simplify]: Extracting #8: cost 20 inf + 13887 25.622 * * [simplify]: Extracting #9: cost 4 inf + 20802 25.625 * * [simplify]: Extracting #10: cost 1 inf + 23434 25.630 * * [simplify]: Extracting #11: cost 0 inf + 24358 25.634 * [simplify]: Simplified to (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)))))) 25.634 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))))))))) 25.634 * * * * [progress]: [ 5 / 80 ] simplifiying candidate # 25.634 * [simplify]: Simplifying (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 25.634 * * [simplify]: iters left: 6 (22 enodes) 25.640 * * [simplify]: iters left: 5 (75 enodes) 25.654 * * [simplify]: iters left: 4 (99 enodes) 25.687 * * [simplify]: iters left: 3 (192 enodes) 25.744 * * [simplify]: iters left: 2 (376 enodes) 25.817 * * [simplify]: iters left: 1 (468 enodes) 25.975 * * [simplify]: Extracting #0: cost 1 inf + 0 25.975 * * [simplify]: Extracting #1: cost 3 inf + 0 25.975 * * [simplify]: Extracting #2: cost 5 inf + 0 25.975 * * [simplify]: Extracting #3: cost 7 inf + 0 25.975 * * [simplify]: Extracting #4: cost 15 inf + 0 25.975 * * [simplify]: Extracting #5: cost 55 inf + 0 25.976 * * [simplify]: Extracting #6: cost 89 inf + 0 25.976 * * [simplify]: Extracting #7: cost 80 inf + 309 25.977 * * [simplify]: Extracting #8: cost 61 inf + 3185 25.979 * * [simplify]: Extracting #9: cost 22 inf + 13386 25.982 * * [simplify]: Extracting #10: cost 8 inf + 18689 25.986 * * [simplify]: Extracting #11: cost 2 inf + 23913 25.990 * * [simplify]: Extracting #12: cost 0 inf + 25621 25.994 * * [simplify]: Extracting #13: cost 0 inf + 25461 25.998 * [simplify]: Simplified to (* (cbrt (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))))) 25.998 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (* (cbrt (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))) 25.999 * [simplify]: Simplifying (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 25.999 * * [simplify]: iters left: 6 (21 enodes) 26.003 * * [simplify]: iters left: 5 (72 enodes) 26.013 * * [simplify]: iters left: 4 (96 enodes) 26.029 * * [simplify]: iters left: 3 (189 enodes) 26.092 * * [simplify]: iters left: 2 (377 enodes) 26.215 * * [simplify]: iters left: 1 (481 enodes) 26.353 * * [simplify]: Extracting #0: cost 1 inf + 0 26.353 * * [simplify]: Extracting #1: cost 3 inf + 0 26.353 * * [simplify]: Extracting #2: cost 5 inf + 0 26.353 * * [simplify]: Extracting #3: cost 14 inf + 0 26.354 * * [simplify]: Extracting #4: cost 54 inf + 0 26.354 * * [simplify]: Extracting #5: cost 88 inf + 0 26.355 * * [simplify]: Extracting #6: cost 76 inf + 492 26.357 * * [simplify]: Extracting #7: cost 53 inf + 4616 26.361 * * [simplify]: Extracting #8: cost 20 inf + 13887 26.368 * * [simplify]: Extracting #9: cost 4 inf + 20802 26.378 * * [simplify]: Extracting #10: cost 1 inf + 23444 26.386 * * [simplify]: Extracting #11: cost 0 inf + 24378 26.394 * [simplify]: Simplified to (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)))))) 26.394 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))))))))) 26.394 * * * * [progress]: [ 6 / 80 ] simplifiying candidate # 26.395 * [simplify]: Simplifying (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))) (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 26.395 * * [simplify]: iters left: 6 (22 enodes) 26.404 * * [simplify]: iters left: 5 (76 enodes) 26.425 * * [simplify]: iters left: 4 (102 enodes) 26.457 * * [simplify]: iters left: 3 (202 enodes) 26.500 * * [simplify]: iters left: 2 (404 enodes) 26.611 * * [simplify]: Extracting #0: cost 1 inf + 0 26.611 * * [simplify]: Extracting #1: cost 7 inf + 0 26.611 * * [simplify]: Extracting #2: cost 12 inf + 1 26.611 * * [simplify]: Extracting #3: cost 32 inf + 2 26.611 * * [simplify]: Extracting #4: cost 81 inf + 3 26.612 * * [simplify]: Extracting #5: cost 114 inf + 4 26.612 * * [simplify]: Extracting #6: cost 104 inf + 475 26.614 * * [simplify]: Extracting #7: cost 60 inf + 9312 26.617 * * [simplify]: Extracting #8: cost 18 inf + 25606 26.623 * * [simplify]: Extracting #9: cost 7 inf + 33741 26.629 * * [simplify]: Extracting #10: cost 0 inf + 40894 26.636 * * [simplify]: Extracting #11: cost 0 inf + 40763 26.644 * [simplify]: Simplified to (* (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))) (* (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))) (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))))) 26.644 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (cbrt (* (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))) (* (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))) (acos (+ (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))))))) 26.644 * * * * [progress]: [ 7 / 80 ] simplifiying candidate # 26.645 * [simplify]: Simplifying (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 26.645 * * [simplify]: iters left: 6 (21 enodes) 26.649 * * [simplify]: iters left: 5 (72 enodes) 26.658 * * [simplify]: iters left: 4 (96 enodes) 26.682 * * [simplify]: iters left: 3 (189 enodes) 26.744 * * [simplify]: iters left: 2 (377 enodes) 26.865 * * [simplify]: iters left: 1 (481 enodes) 27.036 * * [simplify]: Extracting #0: cost 1 inf + 0 27.036 * * [simplify]: Extracting #1: cost 3 inf + 0 27.036 * * [simplify]: Extracting #2: cost 5 inf + 0 27.036 * * [simplify]: Extracting #3: cost 14 inf + 0 27.037 * * [simplify]: Extracting #4: cost 54 inf + 0 27.037 * * [simplify]: Extracting #5: cost 88 inf + 0 27.037 * * [simplify]: Extracting #6: cost 76 inf + 492 27.038 * * [simplify]: Extracting #7: cost 53 inf + 4616 27.041 * * [simplify]: Extracting #8: cost 20 inf + 13887 27.044 * * [simplify]: Extracting #9: cost 4 inf + 20802 27.049 * * [simplify]: Extracting #10: cost 1 inf + 23404 27.053 * * [simplify]: Extracting #11: cost 0 inf + 24298 27.057 * [simplify]: Simplified to (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)))))) 27.057 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)))))) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))) 27.057 * [simplify]: Simplifying (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 27.057 * * [simplify]: iters left: 6 (21 enodes) 27.062 * * [simplify]: iters left: 5 (72 enodes) 27.072 * * [simplify]: iters left: 4 (96 enodes) 27.089 * * [simplify]: iters left: 3 (189 enodes) 27.162 * * [simplify]: iters left: 2 (377 enodes) 27.295 * * [simplify]: iters left: 1 (481 enodes) 27.485 * * [simplify]: Extracting #0: cost 1 inf + 0 27.485 * * [simplify]: Extracting #1: cost 3 inf + 0 27.485 * * [simplify]: Extracting #2: cost 5 inf + 0 27.485 * * [simplify]: Extracting #3: cost 14 inf + 0 27.485 * * [simplify]: Extracting #4: cost 54 inf + 0 27.486 * * [simplify]: Extracting #5: cost 88 inf + 0 27.487 * * [simplify]: Extracting #6: cost 76 inf + 492 27.488 * * [simplify]: Extracting #7: cost 53 inf + 4616 27.492 * * [simplify]: Extracting #8: cost 20 inf + 13887 27.496 * * [simplify]: Extracting #9: cost 4 inf + 20802 27.500 * * [simplify]: Extracting #10: cost 1 inf + 23404 27.505 * * [simplify]: Extracting #11: cost 0 inf + 24298 27.509 * [simplify]: Simplified to (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)))))) 27.509 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))))))))) 27.509 * * * * [progress]: [ 8 / 80 ] simplifiying candidate # 27.509 * * * * [progress]: [ 9 / 80 ] simplifiying candidate #real (real->posit16 (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))))> 27.509 * [simplify]: Simplifying (real->posit16 (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 27.509 * * [simplify]: iters left: 6 (21 enodes) 27.514 * * [simplify]: iters left: 5 (69 enodes) 27.523 * * [simplify]: iters left: 4 (93 enodes) 27.539 * * [simplify]: iters left: 3 (186 enodes) 27.588 * * [simplify]: iters left: 2 (370 enodes) 27.713 * * [simplify]: iters left: 1 (475 enodes) 27.921 * * [simplify]: Extracting #0: cost 1 inf + 0 27.921 * * [simplify]: Extracting #1: cost 2 inf + 0 27.921 * * [simplify]: Extracting #2: cost 3 inf + 0 27.921 * * [simplify]: Extracting #3: cost 12 inf + 0 27.921 * * [simplify]: Extracting #4: cost 50 inf + 0 27.922 * * [simplify]: Extracting #5: cost 84 inf + 0 27.922 * * [simplify]: Extracting #6: cost 73 inf + 431 27.924 * * [simplify]: Extracting #7: cost 46 inf + 4801 27.929 * * [simplify]: Extracting #8: cost 12 inf + 15438 27.935 * * [simplify]: Extracting #9: cost 1 inf + 21420 27.943 * * [simplify]: Extracting #10: cost 0 inf + 21984 27.951 * [simplify]: Simplified to (real->posit16 (acos (+ (* (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2))))) 27.951 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (posit16->real (real->posit16 (acos (+ (* (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2)))))))) 27.951 * * * * [progress]: [ 10 / 80 ] simplifiying candidate # 27.951 * [simplify]: Simplifying (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) 27.952 * * [simplify]: iters left: 5 (7 enodes) 27.955 * * [simplify]: iters left: 4 (26 enodes) 27.962 * * [simplify]: iters left: 3 (32 enodes) 27.970 * * [simplify]: Extracting #0: cost 1 inf + 0 27.970 * * [simplify]: Extracting #1: cost 5 inf + 0 27.970 * * [simplify]: Extracting #2: cost 10 inf + 0 27.970 * * [simplify]: Extracting #3: cost 15 inf + 0 27.971 * * [simplify]: Extracting #4: cost 13 inf + 43 27.971 * * [simplify]: Extracting #5: cost 4 inf + 800 27.971 * * [simplify]: Extracting #6: cost 1 inf + 1186 27.972 * * [simplify]: Extracting #7: cost 0 inf + 1428 27.972 * [simplify]: Simplified to (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))) 27.972 * [simplify]: Simplified (2 2 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (/ (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))) 2)) (cos phi2))))))) 27.973 * * * * [progress]: [ 11 / 80 ] simplifiying candidate # 27.973 * [simplify]: Simplifying (* (sin lambda1) (sin lambda2)) 27.973 * * [simplify]: iters left: 3 (5 enodes) 27.975 * * [simplify]: iters left: 2 (16 enodes) 27.977 * * [simplify]: Extracting #0: cost 1 inf + 0 27.977 * * [simplify]: Extracting #1: cost 4 inf + 0 27.977 * * [simplify]: Extracting #2: cost 8 inf + 0 27.978 * * [simplify]: Extracting #3: cost 4 inf + 124 27.978 * * [simplify]: Extracting #4: cost 0 inf + 570 27.978 * [simplify]: Simplified to (* (sin lambda2) (sin lambda1)) 27.978 * [simplify]: Simplified (2 2 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (pow (* (sin lambda2) (sin lambda1)) 1)) (cos phi2))))))) 27.978 * * * * [progress]: [ 12 / 80 ] simplifiying candidate # 27.978 * * * * [progress]: [ 13 / 80 ] simplifiying candidate # 27.978 * [simplify]: Simplifying (+ (log (sin lambda1)) (log (sin lambda2))) 27.978 * * [simplify]: iters left: 4 (7 enodes) 27.980 * * [simplify]: iters left: 3 (22 enodes) 27.982 * * [simplify]: Extracting #0: cost 1 inf + 0 27.982 * * [simplify]: Extracting #1: cost 4 inf + 0 27.982 * * [simplify]: Extracting #2: cost 8 inf + 0 27.982 * * [simplify]: Extracting #3: cost 12 inf + 0 27.983 * * [simplify]: Extracting #4: cost 10 inf + 2 27.983 * * [simplify]: Extracting #5: cost 4 inf + 508 27.983 * * [simplify]: Extracting #6: cost 1 inf + 1072 27.983 * * [simplify]: Extracting #7: cost 0 inf + 1374 27.983 * [simplify]: Simplified to (+ (log (sin lambda2)) (log (sin lambda1))) 27.983 * [simplify]: Simplified (2 2 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (exp (+ (log (sin lambda2)) (log (sin lambda1))))) (cos phi2))))))) 27.983 * * * * [progress]: [ 14 / 80 ] simplifiying candidate # 27.983 * [simplify]: Simplifying (log (* (sin lambda1) (sin lambda2))) 27.984 * * [simplify]: iters left: 4 (6 enodes) 27.985 * * [simplify]: iters left: 3 (22 enodes) 27.988 * * [simplify]: iters left: 2 (27 enodes) 27.991 * * [simplify]: Extracting #0: cost 1 inf + 0 27.991 * * [simplify]: Extracting #1: cost 5 inf + 0 27.991 * * [simplify]: Extracting #2: cost 10 inf + 0 27.991 * * [simplify]: Extracting #3: cost 14 inf + 0 27.991 * * [simplify]: Extracting #4: cost 9 inf + 255 27.991 * * [simplify]: Extracting #5: cost 6 inf + 508 27.991 * * [simplify]: Extracting #6: cost 1 inf + 1326 27.992 * * [simplify]: Extracting #7: cost 0 inf + 1558 27.992 * [simplify]: Simplified to (log (* (sin lambda2) (sin lambda1))) 27.992 * [simplify]: Simplified (2 2 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (exp (log (* (sin lambda2) (sin lambda1))))) (cos phi2))))))) 27.992 * * * * [progress]: [ 15 / 80 ] simplifiying candidate # 27.992 * [simplify]: Simplifying (exp (* (sin lambda1) (sin lambda2))) 27.992 * * [simplify]: iters left: 4 (6 enodes) 27.993 * * [simplify]: iters left: 3 (21 enodes) 27.996 * * [simplify]: iters left: 2 (29 enodes) 28.001 * * [simplify]: iters left: 1 (42 enodes) 28.009 * * [simplify]: Extracting #0: cost 1 inf + 0 28.009 * * [simplify]: Extracting #1: cost 14 inf + 0 28.009 * * [simplify]: Extracting #2: cost 32 inf + 0 28.009 * * [simplify]: Extracting #3: cost 26 inf + 963 28.009 * * [simplify]: Extracting #4: cost 10 inf + 3532 28.010 * * [simplify]: Extracting #5: cost 2 inf + 6437 28.011 * * [simplify]: Extracting #6: cost 0 inf + 7614 28.011 * [simplify]: Simplified to (exp (* (sin lambda2) (sin lambda1))) 28.011 * [simplify]: Simplified (2 2 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (log (exp (* (sin lambda2) (sin lambda1))))) (cos phi2))))))) 28.011 * * * * [progress]: [ 16 / 80 ] simplifiying candidate # 28.012 * [simplify]: Simplifying (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) 28.012 * * [simplify]: iters left: 6 (9 enodes) 28.014 * * [simplify]: iters left: 5 (34 enodes) 28.021 * * [simplify]: iters left: 4 (63 enodes) 28.032 * * [simplify]: iters left: 3 (122 enodes) 28.073 * * [simplify]: iters left: 2 (196 enodes) 28.140 * * [simplify]: iters left: 1 (381 enodes) 28.281 * * [simplify]: Extracting #0: cost 1 inf + 0 28.281 * * [simplify]: Extracting #1: cost 74 inf + 0 28.282 * * [simplify]: Extracting #2: cost 184 inf + 1 28.283 * * [simplify]: Extracting #3: cost 149 inf + 6713 28.290 * * [simplify]: Extracting #4: cost 54 inf + 55652 28.308 * * [simplify]: Extracting #5: cost 0 inf + 88599 28.321 * * [simplify]: Extracting #6: cost 0 inf + 88519 28.333 * [simplify]: Simplified to (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (sin lambda2) (sin lambda1))) 28.333 * [simplify]: Simplified (2 2 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (sin lambda2) (sin lambda1))))) (cos phi2))))))) 28.333 * * * * [progress]: [ 17 / 80 ] simplifiying candidate # 28.333 * [simplify]: Simplifying (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) 28.333 * * [simplify]: iters left: 6 (7 enodes) 28.335 * * [simplify]: iters left: 5 (22 enodes) 28.338 * * [simplify]: Extracting #0: cost 1 inf + 0 28.338 * * [simplify]: Extracting #1: cost 3 inf + 0 28.338 * * [simplify]: Extracting #2: cost 5 inf + 0 28.338 * * [simplify]: Extracting #3: cost 8 inf + 0 28.338 * * [simplify]: Extracting #4: cost 12 inf + 0 28.338 * * [simplify]: Extracting #5: cost 10 inf + 2 28.338 * * [simplify]: Extracting #6: cost 1 inf + 1336 28.338 * * [simplify]: Extracting #7: cost 0 inf + 1618 28.338 * [simplify]: Simplified to (* (cbrt (* (sin lambda2) (sin lambda1))) (cbrt (* (sin lambda2) (sin lambda1)))) 28.339 * [simplify]: Simplified (2 2 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (* (cbrt (* (sin lambda2) (sin lambda1))) (cbrt (* (sin lambda2) (sin lambda1)))) (cbrt (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 28.339 * [simplify]: Simplifying (cbrt (* (sin lambda1) (sin lambda2))) 28.339 * * [simplify]: iters left: 4 (6 enodes) 28.340 * * [simplify]: iters left: 3 (19 enodes) 28.342 * * [simplify]: Extracting #0: cost 1 inf + 0 28.342 * * [simplify]: Extracting #1: cost 3 inf + 0 28.342 * * [simplify]: Extracting #2: cost 6 inf + 0 28.342 * * [simplify]: Extracting #3: cost 10 inf + 0 28.342 * * [simplify]: Extracting #4: cost 6 inf + 124 28.343 * * [simplify]: Extracting #5: cost 0 inf + 1054 28.343 * [simplify]: Simplified to (cbrt (* (sin lambda2) (sin lambda1))) 28.343 * [simplify]: Simplified (2 2 1 2 2 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda2) (sin lambda1))))) (cos phi2))))))) 28.343 * * * * [progress]: [ 18 / 80 ] simplifiying candidate # 28.343 * [simplify]: Simplifying (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) 28.343 * * [simplify]: iters left: 6 (7 enodes) 28.345 * * [simplify]: iters left: 5 (32 enodes) 28.351 * * [simplify]: iters left: 4 (72 enodes) 28.368 * * [simplify]: iters left: 3 (126 enodes) 28.416 * * [simplify]: iters left: 2 (157 enodes) 28.456 * * [simplify]: iters left: 1 (231 enodes) 28.508 * * [simplify]: Extracting #0: cost 1 inf + 0 28.508 * * [simplify]: Extracting #1: cost 35 inf + 0 28.508 * * [simplify]: Extracting #2: cost 95 inf + 1 28.509 * * [simplify]: Extracting #3: cost 77 inf + 2691 28.511 * * [simplify]: Extracting #4: cost 18 inf + 23450 28.515 * * [simplify]: Extracting #5: cost 0 inf + 32321 28.523 * [simplify]: Simplified to (* (* (sin lambda2) (sin lambda1)) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))) 28.523 * [simplify]: Simplified (2 2 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (sin lambda2) (sin lambda1)) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))))) (cos phi2))))))) 28.524 * * * * [progress]: [ 19 / 80 ] simplifiying candidate # 28.524 * [simplify]: Simplifying (sqrt (* (sin lambda1) (sin lambda2))) 28.524 * * [simplify]: iters left: 4 (6 enodes) 28.527 * * [simplify]: iters left: 3 (19 enodes) 28.532 * * [simplify]: Extracting #0: cost 1 inf + 0 28.532 * * [simplify]: Extracting #1: cost 3 inf + 0 28.532 * * [simplify]: Extracting #2: cost 6 inf + 0 28.532 * * [simplify]: Extracting #3: cost 10 inf + 0 28.532 * * [simplify]: Extracting #4: cost 6 inf + 124 28.532 * * [simplify]: Extracting #5: cost 0 inf + 974 28.533 * [simplify]: Simplified to (sqrt (* (sin lambda2) (sin lambda1))) 28.533 * [simplify]: Simplified (2 2 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sqrt (* (sin lambda2) (sin lambda1))) (sqrt (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 28.533 * [simplify]: Simplifying (sqrt (* (sin lambda1) (sin lambda2))) 28.533 * * [simplify]: iters left: 4 (6 enodes) 28.536 * * [simplify]: iters left: 3 (19 enodes) 28.541 * * [simplify]: Extracting #0: cost 1 inf + 0 28.541 * * [simplify]: Extracting #1: cost 3 inf + 0 28.541 * * [simplify]: Extracting #2: cost 6 inf + 0 28.541 * * [simplify]: Extracting #3: cost 10 inf + 0 28.541 * * [simplify]: Extracting #4: cost 6 inf + 124 28.541 * * [simplify]: Extracting #5: cost 0 inf + 974 28.541 * [simplify]: Simplified to (sqrt (* (sin lambda2) (sin lambda1))) 28.541 * [simplify]: Simplified (2 2 1 2 2 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda2) (sin lambda1))))) (cos phi2))))))) 28.542 * * * * [progress]: [ 20 / 80 ] simplifiying candidate # 28.542 * * * * [progress]: [ 21 / 80 ] simplifiying candidate # 28.542 * [simplify]: Simplifying (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) 28.542 * * [simplify]: iters left: 4 (7 enodes) 28.545 * * [simplify]: iters left: 3 (22 enodes) 28.551 * * [simplify]: Extracting #0: cost 1 inf + 0 28.551 * * [simplify]: Extracting #1: cost 4 inf + 0 28.551 * * [simplify]: Extracting #2: cost 8 inf + 0 28.551 * * [simplify]: Extracting #3: cost 12 inf + 0 28.551 * * [simplify]: Extracting #4: cost 10 inf + 2 28.551 * * [simplify]: Extracting #5: cost 4 inf + 448 28.551 * * [simplify]: Extracting #6: cost 1 inf + 892 28.552 * * [simplify]: Extracting #7: cost 0 inf + 1134 28.552 * [simplify]: Simplified to (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) 28.552 * [simplify]: Simplified (2 2 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))))) (cos phi2))))))) 28.553 * [simplify]: Simplifying (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) 28.553 * * [simplify]: iters left: 4 (7 enodes) 28.555 * * [simplify]: iters left: 3 (22 enodes) 28.561 * * [simplify]: Extracting #0: cost 1 inf + 0 28.561 * * [simplify]: Extracting #1: cost 4 inf + 0 28.561 * * [simplify]: Extracting #2: cost 8 inf + 0 28.561 * * [simplify]: Extracting #3: cost 12 inf + 0 28.561 * * [simplify]: Extracting #4: cost 10 inf + 2 28.561 * * [simplify]: Extracting #5: cost 4 inf + 448 28.562 * * [simplify]: Extracting #6: cost 1 inf + 892 28.562 * * [simplify]: Extracting #7: cost 0 inf + 1134 28.562 * [simplify]: Simplified to (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) 28.562 * [simplify]: Simplified (2 2 1 2 2 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))))) (cos phi2))))))) 28.563 * * * * [progress]: [ 22 / 80 ] simplifiying candidate # 28.563 * [simplify]: Simplifying (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) 28.563 * * [simplify]: iters left: 6 (7 enodes) 28.566 * * [simplify]: iters left: 5 (24 enodes) 28.573 * * [simplify]: iters left: 4 (28 enodes) 28.580 * * [simplify]: Extracting #0: cost 1 inf + 0 28.580 * * [simplify]: Extracting #1: cost 6 inf + 0 28.580 * * [simplify]: Extracting #2: cost 12 inf + 0 28.580 * * [simplify]: Extracting #3: cost 13 inf + 1 28.580 * * [simplify]: Extracting #4: cost 8 inf + 246 28.581 * * [simplify]: Extracting #5: cost 3 inf + 1193 28.581 * * [simplify]: Extracting #6: cost 1 inf + 1656 28.582 * * [simplify]: Extracting #7: cost 0 inf + 1938 28.582 * [simplify]: Simplified to (* (* (sin lambda1) (cbrt (sin lambda2))) (cbrt (sin lambda2))) 28.582 * [simplify]: Simplified (2 2 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (* (* (sin lambda1) (cbrt (sin lambda2))) (cbrt (sin lambda2))) (cbrt (sin lambda2)))) (cos phi2))))))) 28.582 * * * * [progress]: [ 23 / 80 ] simplifiying candidate # 28.583 * [simplify]: Simplifying (* (sin lambda1) (sqrt (sin lambda2))) 28.583 * * [simplify]: iters left: 4 (6 enodes) 28.585 * * [simplify]: iters left: 3 (19 enodes) 28.590 * * [simplify]: Extracting #0: cost 1 inf + 0 28.590 * * [simplify]: Extracting #1: cost 4 inf + 0 28.590 * * [simplify]: Extracting #2: cost 8 inf + 0 28.590 * * [simplify]: Extracting #3: cost 9 inf + 1 28.590 * * [simplify]: Extracting #4: cost 0 inf + 852 28.591 * [simplify]: Simplified to (* (sin lambda1) (sqrt (sin lambda2))) 28.591 * [simplify]: Simplified (2 2 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (* (sin lambda1) (sqrt (sin lambda2))) (sqrt (sin lambda2)))) (cos phi2))))))) 28.591 * * * * [progress]: [ 24 / 80 ] simplifiying candidate # 28.591 * [simplify]: Simplifying (* (sin lambda1) 1) 28.591 * * [simplify]: iters left: 3 (4 enodes) 28.594 * * [simplify]: iters left: 2 (13 enodes) 28.599 * * [simplify]: iters left: 1 (17 enodes) 28.604 * * [simplify]: Extracting #0: cost 1 inf + 0 28.604 * * [simplify]: Extracting #1: cost 4 inf + 0 28.604 * * [simplify]: Extracting #2: cost 0 inf + 124 28.604 * [simplify]: Simplified to (sin lambda1) 28.604 * [simplify]: Simplified (2 2 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 28.605 * * * * [progress]: [ 25 / 80 ] simplifiying candidate # 28.607 * [simplify]: Simplifying (* (cbrt (sin lambda1)) (sin lambda2)) 28.608 * * [simplify]: iters left: 4 (6 enodes) 28.610 * * [simplify]: iters left: 3 (19 enodes) 28.615 * * [simplify]: Extracting #0: cost 1 inf + 0 28.615 * * [simplify]: Extracting #1: cost 4 inf + 0 28.615 * * [simplify]: Extracting #2: cost 8 inf + 0 28.615 * * [simplify]: Extracting #3: cost 7 inf + 123 28.615 * * [simplify]: Extracting #4: cost 6 inf + 124 28.615 * * [simplify]: Extracting #5: cost 0 inf + 1012 28.615 * [simplify]: Simplified to (* (sin lambda2) (cbrt (sin lambda1))) 28.616 * [simplify]: Simplified (2 2 1 2 2 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (* (cbrt (sin lambda1)) (cbrt (sin lambda1))) (* (sin lambda2) (cbrt (sin lambda1))))) (cos phi2))))))) 28.616 * * * * [progress]: [ 26 / 80 ] simplifiying candidate # 28.616 * [simplify]: Simplifying (* (sqrt (sin lambda1)) (sin lambda2)) 28.616 * * [simplify]: iters left: 4 (6 enodes) 28.619 * * [simplify]: iters left: 3 (19 enodes) 28.624 * * [simplify]: Extracting #0: cost 1 inf + 0 28.624 * * [simplify]: Extracting #1: cost 4 inf + 0 28.624 * * [simplify]: Extracting #2: cost 8 inf + 0 28.624 * * [simplify]: Extracting #3: cost 7 inf + 123 28.624 * * [simplify]: Extracting #4: cost 6 inf + 124 28.625 * * [simplify]: Extracting #5: cost 0 inf + 852 28.625 * [simplify]: Simplified to (* (sin lambda2) (sqrt (sin lambda1))) 28.625 * [simplify]: Simplified (2 2 1 2 2 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sqrt (sin lambda1)) (* (sin lambda2) (sqrt (sin lambda1))))) (cos phi2))))))) 28.625 * * * * [progress]: [ 27 / 80 ] simplifiying candidate # 28.626 * [simplify]: Simplifying (* (sin lambda1) (sin lambda2)) 28.626 * * [simplify]: iters left: 3 (5 enodes) 28.628 * * [simplify]: iters left: 2 (16 enodes) 28.631 * * [simplify]: Extracting #0: cost 1 inf + 0 28.632 * * [simplify]: Extracting #1: cost 4 inf + 0 28.632 * * [simplify]: Extracting #2: cost 8 inf + 0 28.632 * * [simplify]: Extracting #3: cost 4 inf + 124 28.632 * * [simplify]: Extracting #4: cost 0 inf + 570 28.632 * [simplify]: Simplified to (* (sin lambda2) (sin lambda1)) 28.632 * [simplify]: Simplified (2 2 1 2 2 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* 1 (* (sin lambda2) (sin lambda1)))) (cos phi2))))))) 28.632 * * * * [progress]: [ 28 / 80 ] simplifiying candidate #real (real->posit16 (* (sin lambda1) (sin lambda2))))) (cos phi2)))))))> 28.632 * [simplify]: Simplifying (real->posit16 (* (sin lambda1) (sin lambda2))) 28.632 * * [simplify]: iters left: 4 (6 enodes) 28.633 * * [simplify]: iters left: 3 (16 enodes) 28.635 * * [simplify]: Extracting #0: cost 1 inf + 0 28.635 * * [simplify]: Extracting #1: cost 2 inf + 0 28.635 * * [simplify]: Extracting #2: cost 4 inf + 0 28.635 * * [simplify]: Extracting #3: cost 8 inf + 0 28.635 * * [simplify]: Extracting #4: cost 4 inf + 124 28.636 * * [simplify]: Extracting #5: cost 0 inf + 570 28.636 * [simplify]: Simplified to (real->posit16 (* (sin lambda2) (sin lambda1))) 28.636 * [simplify]: Simplified (2 2 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (posit16->real (real->posit16 (* (sin lambda2) (sin lambda1))))) (cos phi2))))))) 28.636 * * * * [progress]: [ 29 / 80 ] simplifiying candidate # 28.636 * * * * [progress]: [ 30 / 80 ] simplifiying candidate # 28.636 * [simplify]: Simplifying (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 28.636 * * [simplify]: iters left: 6 (22 enodes) 28.640 * * [simplify]: iters left: 5 (76 enodes) 28.651 * * [simplify]: iters left: 4 (100 enodes) 28.671 * * [simplify]: iters left: 3 (194 enodes) 28.751 * * [simplify]: iters left: 2 (378 enodes) 28.887 * * [simplify]: iters left: 1 (486 enodes) 29.048 * * [simplify]: Extracting #0: cost 1 inf + 0 29.048 * * [simplify]: Extracting #1: cost 4 inf + 0 29.048 * * [simplify]: Extracting #2: cost 5 inf + 1 29.048 * * [simplify]: Extracting #3: cost 13 inf + 1 29.048 * * [simplify]: Extracting #4: cost 52 inf + 1 29.048 * * [simplify]: Extracting #5: cost 86 inf + 1 29.048 * * [simplify]: Extracting #6: cost 77 inf + 310 29.049 * * [simplify]: Extracting #7: cost 53 inf + 4095 29.052 * * [simplify]: Extracting #8: cost 13 inf + 15967 29.055 * * [simplify]: Extracting #9: cost 2 inf + 21703 29.061 * * [simplify]: Extracting #10: cost 0 inf + 23333 29.065 * * [simplify]: Extracting #11: cost 0 inf + 23173 29.069 * [simplify]: Simplified to (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi2)))))) 29.069 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (pow (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi2)))))) 1)) 29.069 * * * * [progress]: [ 31 / 80 ] simplifiying candidate # 29.069 * * * * [progress]: [ 32 / 80 ] simplifiying candidate # 29.069 * [simplify]: Simplifying (+ (log R) (log (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 29.069 * * [simplify]: iters left: 6 (24 enodes) 29.077 * * [simplify]: iters left: 5 (82 enodes) 29.099 * * [simplify]: iters left: 4 (106 enodes) 29.135 * * [simplify]: iters left: 3 (200 enodes) 29.190 * * [simplify]: iters left: 2 (384 enodes) 29.340 * * [simplify]: iters left: 1 (495 enodes) 29.542 * * [simplify]: Extracting #0: cost 1 inf + 0 29.542 * * [simplify]: Extracting #1: cost 4 inf + 0 29.542 * * [simplify]: Extracting #2: cost 8 inf + 0 29.543 * * [simplify]: Extracting #3: cost 9 inf + 1 29.543 * * [simplify]: Extracting #4: cost 16 inf + 143 29.543 * * [simplify]: Extracting #5: cost 57 inf + 143 29.544 * * [simplify]: Extracting #6: cost 91 inf + 143 29.544 * * [simplify]: Extracting #7: cost 79 inf + 736 29.546 * * [simplify]: Extracting #8: cost 45 inf + 6743 29.552 * * [simplify]: Extracting #9: cost 11 inf + 18588 29.560 * * [simplify]: Extracting #10: cost 3 inf + 23910 29.569 * * [simplify]: Extracting #11: cost 1 inf + 25799 29.578 * * [simplify]: Extracting #12: cost 0 inf + 26834 29.586 * [simplify]: Simplified to (+ (log R) (log (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1)))))) 29.586 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log R) (log (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1)))))))) 29.587 * * * * [progress]: [ 33 / 80 ] simplifiying candidate # 29.587 * [simplify]: Simplifying (log (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 29.587 * * [simplify]: iters left: 6 (23 enodes) 29.597 * * [simplify]: iters left: 5 (82 enodes) 29.609 * * [simplify]: iters left: 4 (111 enodes) 29.628 * * [simplify]: iters left: 3 (205 enodes) 29.674 * * [simplify]: iters left: 2 (389 enodes) 29.801 * * [simplify]: Extracting #0: cost 1 inf + 0 29.801 * * [simplify]: Extracting #1: cost 5 inf + 0 29.801 * * [simplify]: Extracting #2: cost 10 inf + 0 29.801 * * [simplify]: Extracting #3: cost 11 inf + 1 29.802 * * [simplify]: Extracting #4: cost 27 inf + 143 29.802 * * [simplify]: Extracting #5: cost 81 inf + 143 29.803 * * [simplify]: Extracting #6: cost 115 inf + 143 29.803 * * [simplify]: Extracting #7: cost 104 inf + 776 29.805 * * [simplify]: Extracting #8: cost 74 inf + 5733 29.813 * * [simplify]: Extracting #9: cost 16 inf + 27466 29.824 * * [simplify]: Extracting #10: cost 1 inf + 37214 29.838 * * [simplify]: Extracting #11: cost 0 inf + 37779 29.850 * * [simplify]: Extracting #12: cost 0 inf + 37699 29.862 * [simplify]: Simplified to (log (* R (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))))) 29.862 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* R (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))))))) 29.862 * * * * [progress]: [ 34 / 80 ] simplifiying candidate # 29.862 * [simplify]: Simplifying (exp (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 29.863 * * [simplify]: iters left: 6 (23 enodes) 29.872 * * [simplify]: iters left: 5 (81 enodes) 29.895 * * [simplify]: iters left: 4 (113 enodes) 29.934 * * [simplify]: iters left: 3 (219 enodes) 29.996 * * [simplify]: iters left: 2 (430 enodes) 30.127 * * [simplify]: Extracting #0: cost 1 inf + 0 30.127 * * [simplify]: Extracting #1: cost 16 inf + 0 30.127 * * [simplify]: Extracting #2: cost 43 inf + 1 30.127 * * [simplify]: Extracting #3: cost 66 inf + 269 30.127 * * [simplify]: Extracting #4: cost 110 inf + 395 30.128 * * [simplify]: Extracting #5: cost 144 inf + 395 30.128 * * [simplify]: Extracting #6: cost 134 inf + 866 30.129 * * [simplify]: Extracting #7: cost 109 inf + 4710 30.133 * * [simplify]: Extracting #8: cost 51 inf + 28827 30.145 * * [simplify]: Extracting #9: cost 14 inf + 61832 30.163 * * [simplify]: Extracting #10: cost 1 inf + 76082 30.175 * * [simplify]: Extracting #11: cost 0 inf + 75967 30.186 * * [simplify]: Extracting #12: cost 0 inf + 75846 30.209 * [simplify]: Simplified to (exp (* R (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))))) 30.209 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (log (exp (* R (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))))))) 30.209 * * * * [progress]: [ 35 / 80 ] simplifiying candidate # 30.209 * [simplify]: Simplifying (* (* (* R R) R) (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))) (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 30.210 * * [simplify]: iters left: 6 (26 enodes) 30.221 * * [simplify]: iters left: 5 (94 enodes) 30.249 * * [simplify]: iters left: 4 (147 enodes) 30.283 * * [simplify]: iters left: 3 (295 enodes) 30.381 * * [simplify]: Extracting #0: cost 1 inf + 0 30.381 * * [simplify]: Extracting #1: cost 28 inf + 0 30.381 * * [simplify]: Extracting #2: cost 52 inf + 43 30.382 * * [simplify]: Extracting #3: cost 57 inf + 459 30.383 * * [simplify]: Extracting #4: cost 129 inf + 672 30.384 * * [simplify]: Extracting #5: cost 158 inf + 884 30.385 * * [simplify]: Extracting #6: cost 141 inf + 2085 30.389 * * [simplify]: Extracting #7: cost 102 inf + 13204 30.400 * * [simplify]: Extracting #8: cost 48 inf + 35238 30.412 * * [simplify]: Extracting #9: cost 12 inf + 67834 30.427 * * [simplify]: Extracting #10: cost 0 inf + 79481 30.452 * * [simplify]: Extracting #11: cost 0 inf + 79230 30.475 * [simplify]: Simplified to (* (* (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))) (* (sin phi1) (sin phi2))))) (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))) (* (sin phi1) (sin phi2)))))) (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))) (* (sin phi1) (sin phi2)))))) 30.475 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))) (* (sin phi1) (sin phi2))))) (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))) (* (sin phi1) (sin phi2)))))) (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))) (* (sin phi1) (sin phi2)))))))) 30.475 * * * * [progress]: [ 36 / 80 ] simplifiying candidate # 30.475 * [simplify]: Simplifying (* (cbrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) (cbrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) 30.476 * * [simplify]: iters left: 6 (24 enodes) 30.480 * * [simplify]: iters left: 5 (82 enodes) 30.493 * * [simplify]: iters left: 4 (106 enodes) 30.511 * * [simplify]: iters left: 3 (199 enodes) 30.566 * * [simplify]: iters left: 2 (383 enodes) 30.679 * * [simplify]: iters left: 1 (489 enodes) 30.918 * * [simplify]: Extracting #0: cost 1 inf + 0 30.919 * * [simplify]: Extracting #1: cost 3 inf + 0 30.919 * * [simplify]: Extracting #2: cost 5 inf + 0 30.919 * * [simplify]: Extracting #3: cost 8 inf + 0 30.919 * * [simplify]: Extracting #4: cost 9 inf + 1 30.919 * * [simplify]: Extracting #5: cost 18 inf + 1 30.919 * * [simplify]: Extracting #6: cost 56 inf + 1 30.920 * * [simplify]: Extracting #7: cost 90 inf + 1 30.920 * * [simplify]: Extracting #8: cost 80 inf + 371 30.922 * * [simplify]: Extracting #9: cost 56 inf + 4152 30.927 * * [simplify]: Extracting #10: cost 20 inf + 14814 30.934 * * [simplify]: Extracting #11: cost 7 inf + 21131 30.943 * * [simplify]: Extracting #12: cost 3 inf + 24830 30.951 * * [simplify]: Extracting #13: cost 0 inf + 27755 30.962 * [simplify]: Simplified to (* (cbrt (* R (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi1) (sin phi2)))))) (cbrt (* R (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi1) (sin phi2))))))) 30.962 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* R (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi1) (sin phi2)))))) (cbrt (* R (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi1) (sin phi2))))))) (cbrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))) 30.963 * [simplify]: Simplifying (cbrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 30.963 * * [simplify]: iters left: 6 (23 enodes) 30.973 * * [simplify]: iters left: 5 (79 enodes) 30.985 * * [simplify]: iters left: 4 (103 enodes) 31.002 * * [simplify]: iters left: 3 (196 enodes) 31.050 * * [simplify]: iters left: 2 (384 enodes) 31.168 * * [simplify]: iters left: 1 (464 enodes) 31.298 * * [simplify]: Extracting #0: cost 1 inf + 0 31.298 * * [simplify]: Extracting #1: cost 3 inf + 0 31.298 * * [simplify]: Extracting #2: cost 6 inf + 0 31.299 * * [simplify]: Extracting #3: cost 7 inf + 1 31.299 * * [simplify]: Extracting #4: cost 15 inf + 1 31.299 * * [simplify]: Extracting #5: cost 57 inf + 1 31.299 * * [simplify]: Extracting #6: cost 91 inf + 1 31.299 * * [simplify]: Extracting #7: cost 77 inf + 817 31.300 * * [simplify]: Extracting #8: cost 54 inf + 4842 31.303 * * [simplify]: Extracting #9: cost 18 inf + 15405 31.307 * * [simplify]: Extracting #10: cost 4 inf + 22172 31.311 * * [simplify]: Extracting #11: cost 1 inf + 24937 31.316 * * [simplify]: Extracting #12: cost 0 inf + 25912 31.320 * [simplify]: Simplified to (cbrt (* R (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi1) (sin phi2)))))) 31.320 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) (cbrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) (cbrt (* R (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi1) (sin phi2)))))))) 31.320 * * * * [progress]: [ 37 / 80 ] simplifiying candidate # 31.320 * [simplify]: Simplifying (* (* (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 31.321 * * [simplify]: iters left: 6 (24 enodes) 31.331 * * [simplify]: iters left: 5 (92 enodes) 31.359 * * [simplify]: iters left: 4 (156 enodes) 31.420 * * [simplify]: iters left: 3 (308 enodes) 31.527 * * [simplify]: Extracting #0: cost 1 inf + 0 31.527 * * [simplify]: Extracting #1: cost 18 inf + 0 31.527 * * [simplify]: Extracting #2: cost 34 inf + 43 31.527 * * [simplify]: Extracting #3: cost 41 inf + 166 31.528 * * [simplify]: Extracting #4: cost 112 inf + 460 31.528 * * [simplify]: Extracting #5: cost 142 inf + 460 31.529 * * [simplify]: Extracting #6: cost 130 inf + 1255 31.531 * * [simplify]: Extracting #7: cost 82 inf + 11744 31.535 * * [simplify]: Extracting #8: cost 32 inf + 33318 31.545 * * [simplify]: Extracting #9: cost 6 inf + 55064 31.559 * * [simplify]: Extracting #10: cost 1 inf + 59670 31.571 * * [simplify]: Extracting #11: cost 0 inf + 60605 31.584 * [simplify]: Simplified to (* (* R (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) (* (* R (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) (* R (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))) 31.584 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* R (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) (* (* R (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) (* R (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))))) 31.584 * * * * [progress]: [ 38 / 80 ] simplifiying candidate # 31.584 * [simplify]: Simplifying (sqrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 31.584 * * [simplify]: iters left: 6 (23 enodes) 31.589 * * [simplify]: iters left: 5 (79 enodes) 31.601 * * [simplify]: iters left: 4 (103 enodes) 31.620 * * [simplify]: iters left: 3 (196 enodes) 31.675 * * [simplify]: iters left: 2 (384 enodes) 31.779 * * [simplify]: iters left: 1 (464 enodes) 31.881 * * [simplify]: Extracting #0: cost 1 inf + 0 31.881 * * [simplify]: Extracting #1: cost 3 inf + 0 31.881 * * [simplify]: Extracting #2: cost 6 inf + 0 31.881 * * [simplify]: Extracting #3: cost 7 inf + 1 31.881 * * [simplify]: Extracting #4: cost 15 inf + 1 31.881 * * [simplify]: Extracting #5: cost 57 inf + 1 31.882 * * [simplify]: Extracting #6: cost 91 inf + 1 31.882 * * [simplify]: Extracting #7: cost 77 inf + 817 31.883 * * [simplify]: Extracting #8: cost 54 inf + 4842 31.885 * * [simplify]: Extracting #9: cost 18 inf + 15405 31.889 * * [simplify]: Extracting #10: cost 4 inf + 22172 31.893 * * [simplify]: Extracting #11: cost 1 inf + 24897 31.897 * * [simplify]: Extracting #12: cost 0 inf + 25832 31.901 * [simplify]: Simplified to (sqrt (* R (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi1) (sin phi2)))))) 31.901 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* R (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi1) (sin phi2)))))) (sqrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))) 31.902 * [simplify]: Simplifying (sqrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 31.902 * * [simplify]: iters left: 6 (23 enodes) 31.906 * * [simplify]: iters left: 5 (79 enodes) 31.928 * * [simplify]: iters left: 4 (103 enodes) 31.963 * * [simplify]: iters left: 3 (196 enodes) 32.026 * * [simplify]: iters left: 2 (384 enodes) 32.115 * * [simplify]: iters left: 1 (464 enodes) 32.203 * * [simplify]: Extracting #0: cost 1 inf + 0 32.203 * * [simplify]: Extracting #1: cost 3 inf + 0 32.203 * * [simplify]: Extracting #2: cost 6 inf + 0 32.203 * * [simplify]: Extracting #3: cost 7 inf + 1 32.204 * * [simplify]: Extracting #4: cost 15 inf + 1 32.204 * * [simplify]: Extracting #5: cost 57 inf + 1 32.204 * * [simplify]: Extracting #6: cost 91 inf + 1 32.205 * * [simplify]: Extracting #7: cost 77 inf + 817 32.208 * * [simplify]: Extracting #8: cost 54 inf + 4842 32.213 * * [simplify]: Extracting #9: cost 18 inf + 15405 32.221 * * [simplify]: Extracting #10: cost 4 inf + 22172 32.229 * * [simplify]: Extracting #11: cost 1 inf + 24897 32.237 * * [simplify]: Extracting #12: cost 0 inf + 25832 32.244 * [simplify]: Simplified to (sqrt (* R (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi1) (sin phi2)))))) 32.244 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) (sqrt (* R (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi1) (sin phi2)))))))) 32.245 * * * * [progress]: [ 39 / 80 ] simplifiying candidate # 32.245 * * * * [progress]: [ 40 / 80 ] simplifiying candidate # 32.245 * [simplify]: Simplifying (* (sqrt R) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 32.245 * * [simplify]: iters left: 6 (24 enodes) 32.250 * * [simplify]: iters left: 5 (82 enodes) 32.261 * * [simplify]: iters left: 4 (106 enodes) 32.283 * * [simplify]: iters left: 3 (200 enodes) 32.364 * * [simplify]: iters left: 2 (384 enodes) 32.486 * * [simplify]: iters left: 1 (495 enodes) 32.656 * * [simplify]: Extracting #0: cost 1 inf + 0 32.656 * * [simplify]: Extracting #1: cost 4 inf + 0 32.656 * * [simplify]: Extracting #2: cost 8 inf + 0 32.656 * * [simplify]: Extracting #3: cost 9 inf + 1 32.656 * * [simplify]: Extracting #4: cost 16 inf + 83 32.656 * * [simplify]: Extracting #5: cost 57 inf + 83 32.656 * * [simplify]: Extracting #6: cost 91 inf + 83 32.657 * * [simplify]: Extracting #7: cost 79 inf + 676 32.658 * * [simplify]: Extracting #8: cost 45 inf + 6683 32.662 * * [simplify]: Extracting #9: cost 11 inf + 18528 32.670 * * [simplify]: Extracting #10: cost 3 inf + 23790 32.678 * * [simplify]: Extracting #11: cost 1 inf + 25619 32.687 * * [simplify]: Extracting #12: cost 0 inf + 26594 32.695 * [simplify]: Simplified to (* (sqrt R) (sqrt (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1)))))) 32.695 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt R) (sqrt (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1)))))) (* (sqrt R) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))))) 32.696 * [simplify]: Simplifying (* (sqrt R) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 32.696 * * [simplify]: iters left: 6 (24 enodes) 32.706 * * [simplify]: iters left: 5 (82 enodes) 32.729 * * [simplify]: iters left: 4 (106 enodes) 32.752 * * [simplify]: iters left: 3 (200 enodes) 32.814 * * [simplify]: iters left: 2 (384 enodes) 32.914 * * [simplify]: iters left: 1 (495 enodes) 33.123 * * [simplify]: Extracting #0: cost 1 inf + 0 33.124 * * [simplify]: Extracting #1: cost 4 inf + 0 33.124 * * [simplify]: Extracting #2: cost 8 inf + 0 33.124 * * [simplify]: Extracting #3: cost 9 inf + 1 33.124 * * [simplify]: Extracting #4: cost 16 inf + 83 33.124 * * [simplify]: Extracting #5: cost 57 inf + 83 33.125 * * [simplify]: Extracting #6: cost 91 inf + 83 33.125 * * [simplify]: Extracting #7: cost 79 inf + 676 33.127 * * [simplify]: Extracting #8: cost 45 inf + 6683 33.133 * * [simplify]: Extracting #9: cost 11 inf + 18528 33.141 * * [simplify]: Extracting #10: cost 3 inf + 23790 33.146 * * [simplify]: Extracting #11: cost 1 inf + 25619 33.151 * * [simplify]: Extracting #12: cost 0 inf + 26594 33.155 * [simplify]: Simplified to (* (sqrt R) (sqrt (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1)))))) 33.155 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt R) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) (* (sqrt R) (sqrt (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1)))))))) 33.155 * * * * [progress]: [ 41 / 80 ] simplifiying candidate # 33.156 * [simplify]: Simplifying (* R (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) 33.156 * * [simplify]: iters left: 6 (24 enodes) 33.160 * * [simplify]: iters left: 5 (84 enodes) 33.172 * * [simplify]: iters left: 4 (112 enodes) 33.198 * * [simplify]: iters left: 3 (205 enodes) 33.250 * * [simplify]: iters left: 2 (381 enodes) 33.364 * * [simplify]: Extracting #0: cost 1 inf + 0 33.364 * * [simplify]: Extracting #1: cost 6 inf + 0 33.364 * * [simplify]: Extracting #2: cost 9 inf + 1 33.364 * * [simplify]: Extracting #3: cost 11 inf + 1 33.364 * * [simplify]: Extracting #4: cost 28 inf + 1 33.365 * * [simplify]: Extracting #5: cost 81 inf + 1 33.366 * * [simplify]: Extracting #6: cost 115 inf + 1 33.366 * * [simplify]: Extracting #7: cost 106 inf + 411 33.369 * * [simplify]: Extracting #8: cost 67 inf + 7230 33.374 * * [simplify]: Extracting #9: cost 18 inf + 25434 33.379 * * [simplify]: Extracting #10: cost 4 inf + 35158 33.385 * * [simplify]: Extracting #11: cost 1 inf + 37882 33.391 * * [simplify]: Extracting #12: cost 0 inf + 38737 33.403 * * [simplify]: Extracting #13: cost 0 inf + 38657 33.416 * [simplify]: Simplified to (* R (* (cbrt (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))))) 33.416 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* R (* (cbrt (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) 33.417 * * * * [progress]: [ 42 / 80 ] simplifiying candidate # 33.417 * [simplify]: Simplifying (* R (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 33.417 * * [simplify]: iters left: 6 (23 enodes) 33.427 * * [simplify]: iters left: 5 (79 enodes) 33.449 * * [simplify]: iters left: 4 (103 enodes) 33.485 * * [simplify]: iters left: 3 (196 enodes) 33.561 * * [simplify]: iters left: 2 (384 enodes) 33.668 * * [simplify]: iters left: 1 (464 enodes) 33.741 * * [simplify]: Extracting #0: cost 1 inf + 0 33.741 * * [simplify]: Extracting #1: cost 4 inf + 0 33.741 * * [simplify]: Extracting #2: cost 5 inf + 1 33.741 * * [simplify]: Extracting #3: cost 7 inf + 1 33.741 * * [simplify]: Extracting #4: cost 15 inf + 1 33.741 * * [simplify]: Extracting #5: cost 57 inf + 1 33.741 * * [simplify]: Extracting #6: cost 91 inf + 1 33.742 * * [simplify]: Extracting #7: cost 77 inf + 817 33.742 * * [simplify]: Extracting #8: cost 54 inf + 4842 33.745 * * [simplify]: Extracting #9: cost 18 inf + 15405 33.749 * * [simplify]: Extracting #10: cost 4 inf + 22172 33.753 * * [simplify]: Extracting #11: cost 1 inf + 24895 33.757 * * [simplify]: Extracting #12: cost 0 inf + 25830 33.761 * [simplify]: Simplified to (* (sqrt (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi1) (sin phi2))))) R) 33.761 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi1) (sin phi2))))) R) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))) 33.761 * * * * [progress]: [ 43 / 80 ] simplifiying candidate # 33.762 * [simplify]: Simplifying (* R 1) 33.762 * * [simplify]: iters left: 2 (3 enodes) 33.763 * * [simplify]: iters left: 1 (9 enodes) 33.765 * * [simplify]: Extracting #0: cost 1 inf + 0 33.765 * * [simplify]: Extracting #1: cost 0 inf + 1 33.765 * [simplify]: Simplified to R 33.765 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 33.765 * * * * [progress]: [ 44 / 80 ] simplifiying candidate # 33.765 * [simplify]: Simplifying (* (cbrt R) (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 33.765 * * [simplify]: iters left: 6 (23 enodes) 33.770 * * [simplify]: iters left: 5 (79 enodes) 33.791 * * [simplify]: iters left: 4 (103 enodes) 33.826 * * [simplify]: iters left: 3 (197 enodes) 33.905 * * [simplify]: iters left: 2 (385 enodes) 34.054 * * [simplify]: iters left: 1 (472 enodes) 34.206 * * [simplify]: Extracting #0: cost 1 inf + 0 34.207 * * [simplify]: Extracting #1: cost 4 inf + 0 34.207 * * [simplify]: Extracting #2: cost 8 inf + 0 34.207 * * [simplify]: Extracting #3: cost 15 inf + 1 34.207 * * [simplify]: Extracting #4: cost 51 inf + 163 34.207 * * [simplify]: Extracting #5: cost 85 inf + 163 34.208 * * [simplify]: Extracting #6: cost 63 inf + 2174 34.212 * * [simplify]: Extracting #7: cost 23 inf + 10910 34.218 * * [simplify]: Extracting #8: cost 5 inf + 19151 34.226 * * [simplify]: Extracting #9: cost 2 inf + 21403 34.234 * * [simplify]: Extracting #10: cost 0 inf + 23232 34.241 * [simplify]: Simplified to (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))) (cbrt R)) 34.242 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt R) (cbrt R)) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))) (cbrt R)))) 34.244 * * * * [progress]: [ 45 / 80 ] simplifiying candidate # 34.244 * [simplify]: Simplifying (* (sqrt R) (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 34.244 * * [simplify]: iters left: 6 (23 enodes) 34.254 * * [simplify]: iters left: 5 (79 enodes) 34.276 * * [simplify]: iters left: 4 (103 enodes) 34.311 * * [simplify]: iters left: 3 (197 enodes) 34.355 * * [simplify]: iters left: 2 (385 enodes) 34.431 * * [simplify]: iters left: 1 (472 enodes) 34.550 * * [simplify]: Extracting #0: cost 1 inf + 0 34.550 * * [simplify]: Extracting #1: cost 4 inf + 0 34.550 * * [simplify]: Extracting #2: cost 8 inf + 0 34.550 * * [simplify]: Extracting #3: cost 15 inf + 1 34.551 * * [simplify]: Extracting #4: cost 51 inf + 83 34.551 * * [simplify]: Extracting #5: cost 85 inf + 83 34.551 * * [simplify]: Extracting #6: cost 63 inf + 2094 34.553 * * [simplify]: Extracting #7: cost 23 inf + 10830 34.557 * * [simplify]: Extracting #8: cost 5 inf + 19071 34.560 * * [simplify]: Extracting #9: cost 2 inf + 21283 34.566 * * [simplify]: Extracting #10: cost 0 inf + 23072 34.574 * [simplify]: Simplified to (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))) (sqrt R)) 34.574 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt R) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))) (sqrt R)))) 34.575 * * * * [progress]: [ 46 / 80 ] simplifiying candidate # 34.575 * [simplify]: Simplifying (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 34.575 * * [simplify]: iters left: 6 (22 enodes) 34.584 * * [simplify]: iters left: 5 (76 enodes) 34.598 * * [simplify]: iters left: 4 (100 enodes) 34.615 * * [simplify]: iters left: 3 (194 enodes) 34.690 * * [simplify]: iters left: 2 (378 enodes) 34.801 * * [simplify]: iters left: 1 (486 enodes) 34.979 * * [simplify]: Extracting #0: cost 1 inf + 0 34.979 * * [simplify]: Extracting #1: cost 4 inf + 0 34.979 * * [simplify]: Extracting #2: cost 5 inf + 1 34.979 * * [simplify]: Extracting #3: cost 13 inf + 1 34.980 * * [simplify]: Extracting #4: cost 52 inf + 1 34.980 * * [simplify]: Extracting #5: cost 86 inf + 1 34.981 * * [simplify]: Extracting #6: cost 77 inf + 310 34.983 * * [simplify]: Extracting #7: cost 53 inf + 4095 34.987 * * [simplify]: Extracting #8: cost 13 inf + 15967 34.995 * * [simplify]: Extracting #9: cost 2 inf + 21703 35.003 * * [simplify]: Extracting #10: cost 0 inf + 23333 35.011 * * [simplify]: Extracting #11: cost 0 inf + 23173 35.019 * [simplify]: Simplified to (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi2)))))) 35.019 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi2)))))))) 35.019 * * * * [progress]: [ 47 / 80 ] simplifiying candidate #real (real->posit16 (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))))> 35.020 * [simplify]: Simplifying (real->posit16 (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 35.020 * * [simplify]: iters left: 6 (23 enodes) 35.030 * * [simplify]: iters left: 5 (76 enodes) 35.051 * * [simplify]: iters left: 4 (100 enodes) 35.085 * * [simplify]: iters left: 3 (194 enodes) 35.165 * * [simplify]: iters left: 2 (378 enodes) 35.316 * * [simplify]: iters left: 1 (487 enodes) 35.478 * * [simplify]: Extracting #0: cost 1 inf + 0 35.478 * * [simplify]: Extracting #1: cost 2 inf + 0 35.478 * * [simplify]: Extracting #2: cost 4 inf + 0 35.478 * * [simplify]: Extracting #3: cost 5 inf + 1 35.478 * * [simplify]: Extracting #4: cost 13 inf + 1 35.479 * * [simplify]: Extracting #5: cost 52 inf + 1 35.479 * * [simplify]: Extracting #6: cost 86 inf + 1 35.480 * * [simplify]: Extracting #7: cost 76 inf + 371 35.481 * * [simplify]: Extracting #8: cost 51 inf + 4621 35.486 * * [simplify]: Extracting #9: cost 14 inf + 16005 35.494 * * [simplify]: Extracting #10: cost 2 inf + 21703 35.502 * * [simplify]: Extracting #11: cost 0 inf + 23333 35.510 * * [simplify]: Extracting #12: cost 0 inf + 23173 35.518 * [simplify]: Simplified to (real->posit16 (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1))))))) 35.518 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (posit16->real (real->posit16 (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi1))))))))) 35.518 * * * * [progress]: [ 48 / 80 ] simplifiying candidate # 35.518 * * * * [progress]: [ 49 / 80 ] simplifiying candidate # 35.519 * [simplify]: Simplifying (- (cos (- phi2 phi1)) (cos (+ phi2 phi1))) 35.519 * * [simplify]: iters left: 5 (7 enodes) 35.522 * * [simplify]: iters left: 4 (26 enodes) 35.529 * * [simplify]: iters left: 3 (32 enodes) 35.537 * * [simplify]: Extracting #0: cost 1 inf + 0 35.537 * * [simplify]: Extracting #1: cost 5 inf + 0 35.537 * * [simplify]: Extracting #2: cost 10 inf + 0 35.537 * * [simplify]: Extracting #3: cost 15 inf + 0 35.537 * * [simplify]: Extracting #4: cost 13 inf + 43 35.537 * * [simplify]: Extracting #5: cost 4 inf + 800 35.538 * * [simplify]: Extracting #6: cost 1 inf + 1186 35.538 * * [simplify]: Extracting #7: cost 0 inf + 1428 35.539 * [simplify]: Simplified to (- (cos (- phi2 phi1)) (cos (+ phi1 phi2))) 35.539 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (/ (- (cos (- phi2 phi1)) (cos (+ phi1 phi2))) 2) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 35.539 * * * * [progress]: [ 50 / 80 ] simplifiying candidate # 35.540 * [simplify]: Simplifying (* (sin phi2) (sin phi1)) 35.540 * * [simplify]: iters left: 3 (5 enodes) 35.542 * * [simplify]: iters left: 2 (16 enodes) 35.546 * * [simplify]: Extracting #0: cost 1 inf + 0 35.546 * * [simplify]: Extracting #1: cost 4 inf + 0 35.546 * * [simplify]: Extracting #2: cost 8 inf + 0 35.546 * * [simplify]: Extracting #3: cost 4 inf + 124 35.546 * * [simplify]: Extracting #4: cost 0 inf + 570 35.547 * [simplify]: Simplified to (* (sin phi1) (sin phi2)) 35.547 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (pow (* (sin phi1) (sin phi2)) 1) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 35.547 * * * * [progress]: [ 51 / 80 ] simplifiying candidate # 35.547 * * * * [progress]: [ 52 / 80 ] simplifiying candidate # 35.547 * [simplify]: Simplifying (+ (log (sin phi2)) (log (sin phi1))) 35.547 * * [simplify]: iters left: 4 (7 enodes) 35.550 * * [simplify]: iters left: 3 (22 enodes) 35.556 * * [simplify]: Extracting #0: cost 1 inf + 0 35.556 * * [simplify]: Extracting #1: cost 4 inf + 0 35.556 * * [simplify]: Extracting #2: cost 8 inf + 0 35.556 * * [simplify]: Extracting #3: cost 12 inf + 0 35.556 * * [simplify]: Extracting #4: cost 10 inf + 2 35.557 * * [simplify]: Extracting #5: cost 4 inf + 508 35.557 * * [simplify]: Extracting #6: cost 1 inf + 1072 35.557 * * [simplify]: Extracting #7: cost 0 inf + 1374 35.558 * [simplify]: Simplified to (+ (log (sin phi1)) (log (sin phi2))) 35.558 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (exp (+ (log (sin phi1)) (log (sin phi2)))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 35.558 * * * * [progress]: [ 53 / 80 ] simplifiying candidate # 35.558 * [simplify]: Simplifying (log (* (sin phi2) (sin phi1))) 35.558 * * [simplify]: iters left: 4 (6 enodes) 35.561 * * [simplify]: iters left: 3 (22 enodes) 35.567 * * [simplify]: iters left: 2 (27 enodes) 35.574 * * [simplify]: Extracting #0: cost 1 inf + 0 35.574 * * [simplify]: Extracting #1: cost 5 inf + 0 35.574 * * [simplify]: Extracting #2: cost 10 inf + 0 35.574 * * [simplify]: Extracting #3: cost 14 inf + 0 35.574 * * [simplify]: Extracting #4: cost 9 inf + 255 35.574 * * [simplify]: Extracting #5: cost 6 inf + 508 35.575 * * [simplify]: Extracting #6: cost 1 inf + 1326 35.575 * * [simplify]: Extracting #7: cost 0 inf + 1558 35.575 * [simplify]: Simplified to (log (* (sin phi1) (sin phi2))) 35.575 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (exp (log (* (sin phi1) (sin phi2)))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 35.576 * * * * [progress]: [ 54 / 80 ] simplifiying candidate # 35.576 * [simplify]: Simplifying (exp (* (sin phi2) (sin phi1))) 35.576 * * [simplify]: iters left: 4 (6 enodes) 35.578 * * [simplify]: iters left: 3 (21 enodes) 35.584 * * [simplify]: iters left: 2 (29 enodes) 35.590 * * [simplify]: iters left: 1 (42 enodes) 35.597 * * [simplify]: Extracting #0: cost 1 inf + 0 35.597 * * [simplify]: Extracting #1: cost 14 inf + 0 35.597 * * [simplify]: Extracting #2: cost 32 inf + 0 35.597 * * [simplify]: Extracting #3: cost 26 inf + 963 35.598 * * [simplify]: Extracting #4: cost 10 inf + 3532 35.598 * * [simplify]: Extracting #5: cost 2 inf + 6437 35.599 * * [simplify]: Extracting #6: cost 0 inf + 7614 35.600 * [simplify]: Simplified to (exp (* (sin phi1) (sin phi2))) 35.600 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 35.600 * * * * [progress]: [ 55 / 80 ] simplifiying candidate # 35.600 * [simplify]: Simplifying (* (* (* (sin phi2) (sin phi2)) (sin phi2)) (* (* (sin phi1) (sin phi1)) (sin phi1))) 35.600 * * [simplify]: iters left: 6 (9 enodes) 35.603 * * [simplify]: iters left: 5 (34 enodes) 35.609 * * [simplify]: iters left: 4 (63 enodes) 35.623 * * [simplify]: iters left: 3 (122 enodes) 35.670 * * [simplify]: iters left: 2 (196 enodes) 35.750 * * [simplify]: iters left: 1 (381 enodes) 35.921 * * [simplify]: Extracting #0: cost 1 inf + 0 35.922 * * [simplify]: Extracting #1: cost 74 inf + 0 35.922 * * [simplify]: Extracting #2: cost 184 inf + 1 35.924 * * [simplify]: Extracting #3: cost 149 inf + 6713 35.929 * * [simplify]: Extracting #4: cost 54 inf + 55652 35.938 * * [simplify]: Extracting #5: cost 0 inf + 88599 35.947 * * [simplify]: Extracting #6: cost 0 inf + 88519 35.961 * [simplify]: Simplified to (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) 35.962 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 35.962 * * * * [progress]: [ 56 / 80 ] simplifiying candidate # 35.962 * [simplify]: Simplifying (* (cbrt (* (sin phi2) (sin phi1))) (cbrt (* (sin phi2) (sin phi1)))) 35.962 * * [simplify]: iters left: 6 (7 enodes) 35.965 * * [simplify]: iters left: 5 (22 enodes) 35.969 * * [simplify]: Extracting #0: cost 1 inf + 0 35.969 * * [simplify]: Extracting #1: cost 3 inf + 0 35.969 * * [simplify]: Extracting #2: cost 5 inf + 0 35.969 * * [simplify]: Extracting #3: cost 8 inf + 0 35.969 * * [simplify]: Extracting #4: cost 12 inf + 0 35.969 * * [simplify]: Extracting #5: cost 10 inf + 2 35.969 * * [simplify]: Extracting #6: cost 1 inf + 1336 35.970 * * [simplify]: Extracting #7: cost 0 inf + 1618 35.970 * [simplify]: Simplified to (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) 35.970 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi2) (sin phi1)))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 35.970 * [simplify]: Simplifying (cbrt (* (sin phi2) (sin phi1))) 35.970 * * [simplify]: iters left: 4 (6 enodes) 35.971 * * [simplify]: iters left: 3 (19 enodes) 35.974 * * [simplify]: Extracting #0: cost 1 inf + 0 35.974 * * [simplify]: Extracting #1: cost 3 inf + 0 35.974 * * [simplify]: Extracting #2: cost 6 inf + 0 35.974 * * [simplify]: Extracting #3: cost 10 inf + 0 35.974 * * [simplify]: Extracting #4: cost 6 inf + 124 35.974 * * [simplify]: Extracting #5: cost 0 inf + 1054 35.974 * [simplify]: Simplified to (cbrt (* (sin phi1) (sin phi2))) 35.974 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (* (cbrt (* (sin phi2) (sin phi1))) (cbrt (* (sin phi2) (sin phi1)))) (cbrt (* (sin phi1) (sin phi2)))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 35.974 * * * * [progress]: [ 57 / 80 ] simplifiying candidate # 35.974 * [simplify]: Simplifying (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1))) 35.974 * * [simplify]: iters left: 6 (7 enodes) 35.976 * * [simplify]: iters left: 5 (32 enodes) 35.982 * * [simplify]: iters left: 4 (72 enodes) 35.996 * * [simplify]: iters left: 3 (126 enodes) 36.043 * * [simplify]: iters left: 2 (157 enodes) 36.096 * * [simplify]: iters left: 1 (231 enodes) 36.177 * * [simplify]: Extracting #0: cost 1 inf + 0 36.178 * * [simplify]: Extracting #1: cost 35 inf + 0 36.178 * * [simplify]: Extracting #2: cost 95 inf + 1 36.178 * * [simplify]: Extracting #3: cost 77 inf + 2691 36.181 * * [simplify]: Extracting #4: cost 18 inf + 23450 36.186 * * [simplify]: Extracting #5: cost 0 inf + 32321 36.194 * [simplify]: Simplified to (* (* (sin phi1) (sin phi2)) (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) 36.194 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (cbrt (* (* (sin phi1) (sin phi2)) (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 36.194 * * * * [progress]: [ 58 / 80 ] simplifiying candidate # 36.195 * [simplify]: Simplifying (sqrt (* (sin phi2) (sin phi1))) 36.195 * * [simplify]: iters left: 4 (6 enodes) 36.198 * * [simplify]: iters left: 3 (19 enodes) 36.203 * * [simplify]: Extracting #0: cost 1 inf + 0 36.203 * * [simplify]: Extracting #1: cost 3 inf + 0 36.203 * * [simplify]: Extracting #2: cost 6 inf + 0 36.203 * * [simplify]: Extracting #3: cost 10 inf + 0 36.203 * * [simplify]: Extracting #4: cost 6 inf + 124 36.203 * * [simplify]: Extracting #5: cost 0 inf + 974 36.203 * [simplify]: Simplified to (sqrt (* (sin phi1) (sin phi2))) 36.204 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi2) (sin phi1)))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 36.204 * [simplify]: Simplifying (sqrt (* (sin phi2) (sin phi1))) 36.204 * * [simplify]: iters left: 4 (6 enodes) 36.206 * * [simplify]: iters left: 3 (19 enodes) 36.211 * * [simplify]: Extracting #0: cost 1 inf + 0 36.211 * * [simplify]: Extracting #1: cost 3 inf + 0 36.211 * * [simplify]: Extracting #2: cost 6 inf + 0 36.212 * * [simplify]: Extracting #3: cost 10 inf + 0 36.212 * * [simplify]: Extracting #4: cost 6 inf + 124 36.212 * * [simplify]: Extracting #5: cost 0 inf + 974 36.212 * [simplify]: Simplified to (sqrt (* (sin phi1) (sin phi2))) 36.212 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sqrt (* (sin phi2) (sin phi1))) (sqrt (* (sin phi1) (sin phi2)))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 36.212 * * * * [progress]: [ 59 / 80 ] simplifiying candidate # 36.213 * * * * [progress]: [ 60 / 80 ] simplifiying candidate # 36.213 * [simplify]: Simplifying (* (sqrt (sin phi2)) (sqrt (sin phi1))) 36.213 * * [simplify]: iters left: 4 (7 enodes) 36.216 * * [simplify]: iters left: 3 (22 enodes) 36.222 * * [simplify]: Extracting #0: cost 1 inf + 0 36.222 * * [simplify]: Extracting #1: cost 4 inf + 0 36.222 * * [simplify]: Extracting #2: cost 8 inf + 0 36.222 * * [simplify]: Extracting #3: cost 12 inf + 0 36.222 * * [simplify]: Extracting #4: cost 10 inf + 2 36.222 * * [simplify]: Extracting #5: cost 4 inf + 448 36.223 * * [simplify]: Extracting #6: cost 1 inf + 892 36.223 * * [simplify]: Extracting #7: cost 0 inf + 1134 36.223 * [simplify]: Simplified to (* (sqrt (sin phi2)) (sqrt (sin phi1))) 36.224 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (* (sqrt (sin phi2)) (sqrt (sin phi1))) (* (sqrt (sin phi2)) (sqrt (sin phi1)))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 36.224 * [simplify]: Simplifying (* (sqrt (sin phi2)) (sqrt (sin phi1))) 36.224 * * [simplify]: iters left: 4 (7 enodes) 36.227 * * [simplify]: iters left: 3 (22 enodes) 36.233 * * [simplify]: Extracting #0: cost 1 inf + 0 36.233 * * [simplify]: Extracting #1: cost 4 inf + 0 36.233 * * [simplify]: Extracting #2: cost 8 inf + 0 36.233 * * [simplify]: Extracting #3: cost 12 inf + 0 36.233 * * [simplify]: Extracting #4: cost 10 inf + 2 36.233 * * [simplify]: Extracting #5: cost 4 inf + 448 36.233 * * [simplify]: Extracting #6: cost 1 inf + 892 36.234 * * [simplify]: Extracting #7: cost 0 inf + 1134 36.234 * [simplify]: Simplified to (* (sqrt (sin phi2)) (sqrt (sin phi1))) 36.234 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (* (sqrt (sin phi2)) (sqrt (sin phi1))) (* (sqrt (sin phi2)) (sqrt (sin phi1)))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 36.234 * * * * [progress]: [ 61 / 80 ] simplifiying candidate # 36.235 * [simplify]: Simplifying (* (sin phi2) (* (cbrt (sin phi1)) (cbrt (sin phi1)))) 36.235 * * [simplify]: iters left: 6 (7 enodes) 36.238 * * [simplify]: iters left: 5 (24 enodes) 36.244 * * [simplify]: iters left: 4 (28 enodes) 36.251 * * [simplify]: Extracting #0: cost 1 inf + 0 36.251 * * [simplify]: Extracting #1: cost 6 inf + 0 36.251 * * [simplify]: Extracting #2: cost 12 inf + 0 36.251 * * [simplify]: Extracting #3: cost 13 inf + 1 36.252 * * [simplify]: Extracting #4: cost 8 inf + 246 36.252 * * [simplify]: Extracting #5: cost 3 inf + 1193 36.252 * * [simplify]: Extracting #6: cost 1 inf + 1656 36.253 * * [simplify]: Extracting #7: cost 0 inf + 1938 36.253 * [simplify]: Simplified to (* (* (sin phi2) (cbrt (sin phi1))) (cbrt (sin phi1))) 36.253 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (* (* (sin phi2) (cbrt (sin phi1))) (cbrt (sin phi1))) (cbrt (sin phi1))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 36.254 * * * * [progress]: [ 62 / 80 ] simplifiying candidate # 36.254 * [simplify]: Simplifying (* (sin phi2) (sqrt (sin phi1))) 36.254 * * [simplify]: iters left: 4 (6 enodes) 36.256 * * [simplify]: iters left: 3 (19 enodes) 36.262 * * [simplify]: Extracting #0: cost 1 inf + 0 36.262 * * [simplify]: Extracting #1: cost 4 inf + 0 36.262 * * [simplify]: Extracting #2: cost 8 inf + 0 36.262 * * [simplify]: Extracting #3: cost 9 inf + 1 36.262 * * [simplify]: Extracting #4: cost 0 inf + 852 36.262 * [simplify]: Simplified to (* (sin phi2) (sqrt (sin phi1))) 36.262 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (* (sin phi2) (sqrt (sin phi1))) (sqrt (sin phi1))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 36.262 * * * * [progress]: [ 63 / 80 ] simplifiying candidate # 36.263 * [simplify]: Simplifying (* (sin phi2) 1) 36.263 * * [simplify]: iters left: 3 (4 enodes) 36.265 * * [simplify]: iters left: 2 (13 enodes) 36.273 * * [simplify]: iters left: 1 (17 enodes) 36.278 * * [simplify]: Extracting #0: cost 1 inf + 0 36.278 * * [simplify]: Extracting #1: cost 4 inf + 0 36.278 * * [simplify]: Extracting #2: cost 0 inf + 124 36.278 * [simplify]: Simplified to (sin phi2) 36.278 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 36.278 * * * * [progress]: [ 64 / 80 ] simplifiying candidate # 36.279 * [simplify]: Simplifying (* (cbrt (sin phi2)) (sin phi1)) 36.279 * * [simplify]: iters left: 4 (6 enodes) 36.281 * * [simplify]: iters left: 3 (19 enodes) 36.286 * * [simplify]: Extracting #0: cost 1 inf + 0 36.286 * * [simplify]: Extracting #1: cost 4 inf + 0 36.286 * * [simplify]: Extracting #2: cost 8 inf + 0 36.286 * * [simplify]: Extracting #3: cost 7 inf + 123 36.286 * * [simplify]: Extracting #4: cost 6 inf + 124 36.286 * * [simplify]: Extracting #5: cost 0 inf + 1012 36.287 * [simplify]: Simplified to (* (sin phi1) (cbrt (sin phi2))) 36.287 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (* (cbrt (sin phi2)) (cbrt (sin phi2))) (* (sin phi1) (cbrt (sin phi2)))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 36.287 * * * * [progress]: [ 65 / 80 ] simplifiying candidate # 36.287 * [simplify]: Simplifying (* (sqrt (sin phi2)) (sin phi1)) 36.287 * * [simplify]: iters left: 4 (6 enodes) 36.290 * * [simplify]: iters left: 3 (19 enodes) 36.295 * * [simplify]: Extracting #0: cost 1 inf + 0 36.295 * * [simplify]: Extracting #1: cost 4 inf + 0 36.295 * * [simplify]: Extracting #2: cost 8 inf + 0 36.295 * * [simplify]: Extracting #3: cost 7 inf + 123 36.295 * * [simplify]: Extracting #4: cost 6 inf + 124 36.295 * * [simplify]: Extracting #5: cost 0 inf + 852 36.295 * [simplify]: Simplified to (* (sin phi1) (sqrt (sin phi2))) 36.295 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sqrt (sin phi2)) (* (sin phi1) (sqrt (sin phi2)))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 36.296 * * * * [progress]: [ 66 / 80 ] simplifiying candidate # 36.296 * [simplify]: Simplifying (* (sin phi2) (sin phi1)) 36.296 * * [simplify]: iters left: 3 (5 enodes) 36.298 * * [simplify]: iters left: 2 (16 enodes) 36.301 * * [simplify]: Extracting #0: cost 1 inf + 0 36.301 * * [simplify]: Extracting #1: cost 4 inf + 0 36.301 * * [simplify]: Extracting #2: cost 8 inf + 0 36.301 * * [simplify]: Extracting #3: cost 4 inf + 124 36.301 * * [simplify]: Extracting #4: cost 0 inf + 570 36.301 * [simplify]: Simplified to (* (sin phi1) (sin phi2)) 36.301 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* 1 (* (sin phi1) (sin phi2))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 36.301 * * * * [progress]: [ 67 / 80 ] simplifiying candidate #real (real->posit16 (* (sin phi2) (sin phi1)))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))> 36.301 * [simplify]: Simplifying (real->posit16 (* (sin phi2) (sin phi1))) 36.301 * * [simplify]: iters left: 4 (6 enodes) 36.303 * * [simplify]: iters left: 3 (16 enodes) 36.305 * * [simplify]: Extracting #0: cost 1 inf + 0 36.305 * * [simplify]: Extracting #1: cost 2 inf + 0 36.305 * * [simplify]: Extracting #2: cost 4 inf + 0 36.305 * * [simplify]: Extracting #3: cost 8 inf + 0 36.305 * * [simplify]: Extracting #4: cost 4 inf + 124 36.305 * * [simplify]: Extracting #5: cost 0 inf + 570 36.305 * [simplify]: Simplified to (real->posit16 (* (sin phi1) (sin phi2))) 36.305 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (posit16->real (real->posit16 (* (sin phi1) (sin phi2)))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 36.305 * * * * [progress]: [ 68 / 80 ] simplifiying candidate # 36.305 * * * * [progress]: [ 69 / 80 ] simplifiying candidate # 36.306 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 36.306 * * [simplify]: iters left: 6 (22 enodes) 36.310 * * [simplify]: iters left: 5 (84 enodes) 36.323 * * [simplify]: iters left: 4 (141 enodes) 36.369 * * [simplify]: iters left: 3 (241 enodes) 36.436 * * [simplify]: iters left: 2 (280 enodes) 36.512 * * [simplify]: Extracting #0: cost 1 inf + 0 36.512 * * [simplify]: Extracting #1: cost 3 inf + 0 36.512 * * [simplify]: Extracting #2: cost 10 inf + 0 36.513 * * [simplify]: Extracting #3: cost 46 inf + 0 36.513 * * [simplify]: Extracting #4: cost 80 inf + 0 36.514 * * [simplify]: Extracting #5: cost 63 inf + 1504 36.517 * * [simplify]: Extracting #6: cost 22 inf + 9796 36.522 * * [simplify]: Extracting #7: cost 5 inf + 17031 36.529 * * [simplify]: Extracting #8: cost 0 inf + 19888 36.536 * * [simplify]: Extracting #9: cost 0 inf + 19728 36.541 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) 36.541 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) 36.541 * * * * [progress]: [ 70 / 80 ] simplifiying candidate # 36.541 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 36.542 * * [simplify]: iters left: 6 (22 enodes) 36.546 * * [simplify]: iters left: 5 (84 enodes) 36.559 * * [simplify]: iters left: 4 (141 enodes) 36.594 * * [simplify]: iters left: 3 (241 enodes) 36.653 * * [simplify]: iters left: 2 (280 enodes) 36.695 * * [simplify]: Extracting #0: cost 1 inf + 0 36.695 * * [simplify]: Extracting #1: cost 3 inf + 0 36.695 * * [simplify]: Extracting #2: cost 10 inf + 0 36.696 * * [simplify]: Extracting #3: cost 46 inf + 0 36.696 * * [simplify]: Extracting #4: cost 80 inf + 0 36.696 * * [simplify]: Extracting #5: cost 58 inf + 2112 36.698 * * [simplify]: Extracting #6: cost 20 inf + 10221 36.701 * * [simplify]: Extracting #7: cost 2 inf + 18300 36.705 * * [simplify]: Extracting #8: cost 0 inf + 19888 36.712 * * [simplify]: Extracting #9: cost 0 inf + 19728 36.719 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) 36.719 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))))) 36.719 * * * * [progress]: [ 71 / 80 ] simplifiying candidate # 36.720 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 36.720 * * [simplify]: iters left: 6 (22 enodes) 36.729 * * [simplify]: iters left: 5 (84 enodes) 36.745 * * [simplify]: iters left: 4 (141 enodes) 36.777 * * [simplify]: iters left: 3 (241 enodes) 36.830 * * [simplify]: iters left: 2 (280 enodes) 36.892 * * [simplify]: Extracting #0: cost 1 inf + 0 36.892 * * [simplify]: Extracting #1: cost 3 inf + 0 36.892 * * [simplify]: Extracting #2: cost 10 inf + 0 36.892 * * [simplify]: Extracting #3: cost 46 inf + 0 36.892 * * [simplify]: Extracting #4: cost 80 inf + 0 36.893 * * [simplify]: Extracting #5: cost 63 inf + 1504 36.894 * * [simplify]: Extracting #6: cost 22 inf + 9796 36.897 * * [simplify]: Extracting #7: cost 5 inf + 17031 36.902 * * [simplify]: Extracting #8: cost 0 inf + 19888 36.908 * * [simplify]: Extracting #9: cost 0 inf + 19728 36.915 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) 36.915 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) 36.916 * * * * [progress]: [ 72 / 80 ] simplifiying candidate # 36.916 * [simplify]: Simplifying (* lambda2 lambda1) 36.916 * * [simplify]: iters left: 2 (3 enodes) 36.917 * * [simplify]: iters left: 1 (10 enodes) 36.920 * * [simplify]: Extracting #0: cost 1 inf + 0 36.920 * * [simplify]: Extracting #1: cost 4 inf + 0 36.920 * * [simplify]: Extracting #2: cost 2 inf + 2 36.920 * * [simplify]: Extracting #3: cost 0 inf + 86 36.920 * [simplify]: Simplified to (* lambda2 lambda1) 36.920 * [simplify]: Simplified (2 2 1 2 2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* lambda2 lambda1)) (cos phi2))))))) 36.921 * * * * [progress]: [ 73 / 80 ] simplifiying candidate # 36.921 * [simplify]: Simplifying (* (sin lambda2) (sin lambda1)) 36.921 * * [simplify]: iters left: 3 (5 enodes) 36.923 * * [simplify]: iters left: 2 (16 enodes) 36.927 * * [simplify]: Extracting #0: cost 1 inf + 0 36.927 * * [simplify]: Extracting #1: cost 4 inf + 0 36.928 * * [simplify]: Extracting #2: cost 8 inf + 0 36.928 * * [simplify]: Extracting #3: cost 4 inf + 124 36.928 * * [simplify]: Extracting #4: cost 0 inf + 570 36.928 * [simplify]: Simplified to (* (sin lambda1) (sin lambda2)) 36.928 * [simplify]: Simplified (2 2 1 2 2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 36.928 * * * * [progress]: [ 74 / 80 ] simplifiying candidate # 36.929 * [simplify]: Simplifying (* (sin lambda1) (sin lambda2)) 36.929 * * [simplify]: iters left: 3 (5 enodes) 36.931 * * [simplify]: iters left: 2 (16 enodes) 36.935 * * [simplify]: Extracting #0: cost 1 inf + 0 36.935 * * [simplify]: Extracting #1: cost 4 inf + 0 36.935 * * [simplify]: Extracting #2: cost 8 inf + 0 36.935 * * [simplify]: Extracting #3: cost 4 inf + 124 36.935 * * [simplify]: Extracting #4: cost 0 inf + 570 36.936 * [simplify]: Simplified to (* (sin lambda2) (sin lambda1)) 36.936 * [simplify]: Simplified (2 2 1 2 2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi2))))))) 36.936 * * * * [progress]: [ 75 / 80 ] simplifiying candidate # 36.936 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 36.937 * * [simplify]: iters left: 6 (24 enodes) 36.948 * * [simplify]: iters left: 5 (91 enodes) 36.975 * * [simplify]: iters left: 4 (148 enodes) 37.010 * * [simplify]: iters left: 3 (248 enodes) 37.456 * * [simplify]: iters left: 2 (295 enodes) 37.544 * * [simplify]: Extracting #0: cost 1 inf + 0 37.544 * * [simplify]: Extracting #1: cost 4 inf + 0 37.544 * * [simplify]: Extracting #2: cost 5 inf + 1 37.544 * * [simplify]: Extracting #3: cost 12 inf + 1 37.545 * * [simplify]: Extracting #4: cost 48 inf + 1 37.545 * * [simplify]: Extracting #5: cost 82 inf + 1 37.546 * * [simplify]: Extracting #6: cost 71 inf + 634 37.548 * * [simplify]: Extracting #7: cost 31 inf + 8806 37.554 * * [simplify]: Extracting #8: cost 5 inf + 18631 37.561 * * [simplify]: Extracting #9: cost 1 inf + 20704 37.568 * * [simplify]: Extracting #10: cost 0 inf + 21559 37.575 * * [simplify]: Extracting #11: cost 0 inf + 21519 37.579 * [simplify]: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 37.579 * [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))))))) 37.579 * * * * [progress]: [ 76 / 80 ] simplifiying candidate # 37.580 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 37.580 * * [simplify]: iters left: 6 (24 enodes) 37.585 * * [simplify]: iters left: 5 (91 enodes) 37.598 * * [simplify]: iters left: 4 (148 enodes) 37.641 * * [simplify]: iters left: 3 (248 enodes) 37.722 * * [simplify]: iters left: 2 (292 enodes) 37.776 * * [simplify]: Extracting #0: cost 1 inf + 0 37.776 * * [simplify]: Extracting #1: cost 4 inf + 0 37.776 * * [simplify]: Extracting #2: cost 5 inf + 1 37.776 * * [simplify]: Extracting #3: cost 12 inf + 1 37.777 * * [simplify]: Extracting #4: cost 48 inf + 1 37.777 * * [simplify]: Extracting #5: cost 82 inf + 1 37.778 * * [simplify]: Extracting #6: cost 61 inf + 2052 37.781 * * [simplify]: Extracting #7: cost 23 inf + 9919 37.787 * * [simplify]: Extracting #8: cost 4 inf + 18021 37.794 * * [simplify]: Extracting #9: cost 1 inf + 20624 37.801 * * [simplify]: Extracting #10: cost 0 inf + 21519 37.808 * [simplify]: Simplified to (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R) 37.809 * [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)) 37.809 * * * * [progress]: [ 77 / 80 ] simplifiying candidate # 37.809 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 37.809 * * [simplify]: iters left: 6 (24 enodes) 37.820 * * [simplify]: iters left: 5 (91 enodes) 37.847 * * [simplify]: iters left: 4 (148 enodes) 37.874 * * [simplify]: iters left: 3 (248 enodes) 37.923 * * [simplify]: iters left: 2 (295 enodes) 37.977 * * [simplify]: Extracting #0: cost 1 inf + 0 37.977 * * [simplify]: Extracting #1: cost 4 inf + 0 37.977 * * [simplify]: Extracting #2: cost 5 inf + 1 37.977 * * [simplify]: Extracting #3: cost 12 inf + 1 37.978 * * [simplify]: Extracting #4: cost 48 inf + 1 37.978 * * [simplify]: Extracting #5: cost 82 inf + 1 37.979 * * [simplify]: Extracting #6: cost 71 inf + 634 37.981 * * [simplify]: Extracting #7: cost 31 inf + 8806 37.987 * * [simplify]: Extracting #8: cost 5 inf + 18631 37.990 * * [simplify]: Extracting #9: cost 1 inf + 20704 37.994 * * [simplify]: Extracting #10: cost 0 inf + 21559 37.998 * * [simplify]: Extracting #11: cost 0 inf + 21519 38.001 * [simplify]: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 38.002 * [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))))))) 38.002 * * * * [progress]: [ 78 / 80 ] simplifiying candidate # 38.002 * [simplify]: Simplifying (* phi1 phi2) 38.002 * * [simplify]: iters left: 2 (3 enodes) 38.003 * * [simplify]: iters left: 1 (10 enodes) 38.004 * * [simplify]: Extracting #0: cost 1 inf + 0 38.004 * * [simplify]: Extracting #1: cost 4 inf + 0 38.004 * * [simplify]: Extracting #2: cost 2 inf + 2 38.004 * * [simplify]: Extracting #3: cost 0 inf + 86 38.004 * [simplify]: Simplified to (* phi1 phi2) 38.004 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* phi1 phi2) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 38.004 * * * * [progress]: [ 79 / 80 ] simplifiying candidate # 38.004 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 38.004 * * [simplify]: iters left: 3 (5 enodes) 38.005 * * [simplify]: iters left: 2 (16 enodes) 38.007 * * [simplify]: Extracting #0: cost 1 inf + 0 38.007 * * [simplify]: Extracting #1: cost 4 inf + 0 38.007 * * [simplify]: Extracting #2: cost 8 inf + 0 38.007 * * [simplify]: Extracting #3: cost 4 inf + 124 38.007 * * [simplify]: Extracting #4: cost 0 inf + 570 38.007 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 38.007 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 38.008 * * * * [progress]: [ 80 / 80 ] simplifiying candidate # 38.008 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 38.008 * * [simplify]: iters left: 3 (5 enodes) 38.009 * * [simplify]: iters left: 2 (16 enodes) 38.011 * * [simplify]: Extracting #0: cost 1 inf + 0 38.011 * * [simplify]: Extracting #1: cost 4 inf + 0 38.011 * * [simplify]: Extracting #2: cost 8 inf + 0 38.011 * * [simplify]: Extracting #3: cost 4 inf + 124 38.011 * * [simplify]: Extracting #4: cost 0 inf + 570 38.011 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 38.011 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 38.011 * * * [progress]: adding candidates to table 39.806 * * [progress]: iteration 4 / 4 39.806 * * * [progress]: picking best candidate 40.041 * * * * [pick]: Picked # 40.041 * * * [progress]: localizing error 40.117 * * * [progress]: generating rewritten candidates 40.117 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1 2) 40.261 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 40.265 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2 1 2 1 1) 40.352 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2 1 2 1 2) 40.376 * * * [progress]: generating series expansions 40.376 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1 2) 40.377 * [backup-simplify]: Simplify (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2)))) into (* (sin lambda1) (sin lambda2)) 40.377 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 40.377 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 40.377 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 40.377 * [taylor]: Taking taylor expansion of lambda1 in lambda2 40.377 * [backup-simplify]: Simplify lambda1 into lambda1 40.377 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 40.377 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 40.377 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 40.377 * [taylor]: Taking taylor expansion of lambda2 in lambda2 40.377 * [backup-simplify]: Simplify 0 into 0 40.377 * [backup-simplify]: Simplify 1 into 1 40.377 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 40.377 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 40.377 * [taylor]: Taking taylor expansion of lambda1 in lambda1 40.377 * [backup-simplify]: Simplify 0 into 0 40.377 * [backup-simplify]: Simplify 1 into 1 40.377 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 40.377 * [taylor]: Taking taylor expansion of lambda2 in lambda1 40.377 * [backup-simplify]: Simplify lambda2 into lambda2 40.377 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 40.377 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 40.377 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 40.377 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 40.377 * [taylor]: Taking taylor expansion of lambda1 in lambda1 40.377 * [backup-simplify]: Simplify 0 into 0 40.377 * [backup-simplify]: Simplify 1 into 1 40.377 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 40.378 * [taylor]: Taking taylor expansion of lambda2 in lambda1 40.378 * [backup-simplify]: Simplify lambda2 into lambda2 40.378 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 40.378 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 40.378 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 40.378 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 40.378 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 40.378 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0 40.378 * [taylor]: Taking taylor expansion of 0 in lambda2 40.378 * [backup-simplify]: Simplify 0 into 0 40.378 * [backup-simplify]: Simplify 0 into 0 40.379 * [backup-simplify]: Simplify (+ 0) into 0 40.380 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 40.381 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 40.381 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 40.381 * [backup-simplify]: Simplify (+ 0 0) into 0 40.382 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 40.383 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2) 40.383 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 40.383 * [taylor]: Taking taylor expansion of lambda2 in lambda2 40.383 * [backup-simplify]: Simplify 0 into 0 40.383 * [backup-simplify]: Simplify 1 into 1 40.383 * [backup-simplify]: Simplify 0 into 0 40.383 * [backup-simplify]: Simplify 0 into 0 40.384 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 40.385 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 40.385 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 40.386 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 40.386 * [backup-simplify]: Simplify (+ 0 0) into 0 40.387 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 40.388 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0 40.388 * [taylor]: Taking taylor expansion of 0 in lambda2 40.389 * [backup-simplify]: Simplify 0 into 0 40.389 * [backup-simplify]: Simplify 0 into 0 40.389 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 40.389 * [backup-simplify]: Simplify 1 into 1 40.389 * [backup-simplify]: Simplify 0 into 0 40.390 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 40.391 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 40.392 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 40.393 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 40.393 * [backup-simplify]: Simplify (+ 0 0) into 0 40.395 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 40.396 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda2))))) into (- (* 1/6 (sin lambda2))) 40.397 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 40.397 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 40.397 * [taylor]: Taking taylor expansion of 1/6 in lambda2 40.397 * [backup-simplify]: Simplify 1/6 into 1/6 40.397 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 40.397 * [taylor]: Taking taylor expansion of lambda2 in lambda2 40.397 * [backup-simplify]: Simplify 0 into 0 40.397 * [backup-simplify]: Simplify 1 into 1 40.397 * [backup-simplify]: Simplify (* 1/6 0) into 0 40.398 * [backup-simplify]: Simplify (- 0) into 0 40.398 * [backup-simplify]: Simplify 0 into 0 40.398 * [backup-simplify]: Simplify 0 into 0 40.399 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 40.399 * [backup-simplify]: Simplify 0 into 0 40.399 * [backup-simplify]: Simplify 0 into 0 40.401 * [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 40.402 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 40.408 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 40.409 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 40.409 * [backup-simplify]: Simplify (+ 0 0) into 0 40.411 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 40.412 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda2)))))) into 0 40.412 * [taylor]: Taking taylor expansion of 0 in lambda2 40.412 * [backup-simplify]: Simplify 0 into 0 40.412 * [backup-simplify]: Simplify 0 into 0 40.413 * [backup-simplify]: Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1) 40.413 * [backup-simplify]: Simplify (cbrt (* (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 40.413 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in (lambda1 lambda2) around 0 40.413 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 40.413 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 40.413 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 40.413 * [taylor]: Taking taylor expansion of lambda2 in lambda2 40.413 * [backup-simplify]: Simplify 0 into 0 40.413 * [backup-simplify]: Simplify 1 into 1 40.414 * [backup-simplify]: Simplify (/ 1 1) into 1 40.414 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 40.414 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 40.414 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 40.414 * [taylor]: Taking taylor expansion of lambda1 in lambda2 40.414 * [backup-simplify]: Simplify lambda1 into lambda1 40.414 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 40.414 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 40.414 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 40.414 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 40.414 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 40.414 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 40.414 * [taylor]: Taking taylor expansion of lambda2 in lambda1 40.414 * [backup-simplify]: Simplify lambda2 into lambda2 40.414 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 40.415 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 40.415 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 40.415 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 40.415 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 40.415 * [taylor]: Taking taylor expansion of lambda1 in lambda1 40.415 * [backup-simplify]: Simplify 0 into 0 40.415 * [backup-simplify]: Simplify 1 into 1 40.415 * [backup-simplify]: Simplify (/ 1 1) into 1 40.415 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 40.415 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 40.415 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 40.415 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 40.415 * [taylor]: Taking taylor expansion of lambda2 in lambda1 40.415 * [backup-simplify]: Simplify lambda2 into lambda2 40.415 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 40.416 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 40.416 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 40.416 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 40.416 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 40.416 * [taylor]: Taking taylor expansion of lambda1 in lambda1 40.416 * [backup-simplify]: Simplify 0 into 0 40.416 * [backup-simplify]: Simplify 1 into 1 40.416 * [backup-simplify]: Simplify (/ 1 1) into 1 40.417 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 40.417 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 40.417 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 40.417 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 40.417 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 40.417 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 40.417 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 40.417 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 40.417 * [taylor]: Taking taylor expansion of lambda2 in lambda2 40.417 * [backup-simplify]: Simplify 0 into 0 40.417 * [backup-simplify]: Simplify 1 into 1 40.418 * [backup-simplify]: Simplify (/ 1 1) into 1 40.418 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 40.418 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 40.418 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 40.418 * [taylor]: Taking taylor expansion of lambda1 in lambda2 40.418 * [backup-simplify]: Simplify lambda1 into lambda1 40.418 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 40.418 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 40.418 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 40.418 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 40.418 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 40.418 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 40.419 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 40.419 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 40.419 * [backup-simplify]: Simplify (+ 0) into 0 40.420 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 40.420 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 40.421 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 40.421 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 40.421 * [backup-simplify]: Simplify (+ 0 0) into 0 40.422 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 40.422 * [taylor]: Taking taylor expansion of 0 in lambda2 40.422 * [backup-simplify]: Simplify 0 into 0 40.422 * [backup-simplify]: Simplify 0 into 0 40.422 * [backup-simplify]: Simplify (+ 0) into 0 40.423 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 40.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 40.424 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 40.424 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 40.425 * [backup-simplify]: Simplify (+ 0 0) into 0 40.425 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 40.425 * [backup-simplify]: Simplify 0 into 0 40.426 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 40.426 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 40.427 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 40.427 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 40.428 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 40.428 * [backup-simplify]: Simplify (+ 0 0) into 0 40.429 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 40.429 * [taylor]: Taking taylor expansion of 0 in lambda2 40.429 * [backup-simplify]: Simplify 0 into 0 40.429 * [backup-simplify]: Simplify 0 into 0 40.429 * [backup-simplify]: Simplify 0 into 0 40.430 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 40.431 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 40.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 40.432 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 40.432 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 40.433 * [backup-simplify]: Simplify (+ 0 0) into 0 40.433 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 40.433 * [backup-simplify]: Simplify 0 into 0 40.434 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 40.435 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 40.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 40.437 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 40.438 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 40.438 * [backup-simplify]: Simplify (+ 0 0) into 0 40.439 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0 40.439 * [taylor]: Taking taylor expansion of 0 in lambda2 40.439 * [backup-simplify]: Simplify 0 into 0 40.439 * [backup-simplify]: Simplify 0 into 0 40.440 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))) into (* (sin lambda2) (sin lambda1)) 40.440 * [backup-simplify]: Simplify (cbrt (* (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 40.440 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 40.440 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 40.440 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 40.440 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 40.440 * [taylor]: Taking taylor expansion of -1 in lambda2 40.440 * [backup-simplify]: Simplify -1 into -1 40.440 * [taylor]: Taking taylor expansion of lambda1 in lambda2 40.440 * [backup-simplify]: Simplify lambda1 into lambda1 40.440 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 40.440 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 40.441 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 40.441 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 40.441 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 40.441 * [taylor]: Taking taylor expansion of -1 in lambda2 40.441 * [backup-simplify]: Simplify -1 into -1 40.441 * [taylor]: Taking taylor expansion of lambda2 in lambda2 40.441 * [backup-simplify]: Simplify 0 into 0 40.441 * [backup-simplify]: Simplify 1 into 1 40.441 * [backup-simplify]: Simplify (/ -1 1) into -1 40.441 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 40.441 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 40.441 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 40.441 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 40.442 * [taylor]: Taking taylor expansion of -1 in lambda1 40.442 * [backup-simplify]: Simplify -1 into -1 40.442 * [taylor]: Taking taylor expansion of lambda1 in lambda1 40.442 * [backup-simplify]: Simplify 0 into 0 40.442 * [backup-simplify]: Simplify 1 into 1 40.442 * [backup-simplify]: Simplify (/ -1 1) into -1 40.442 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 40.442 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 40.442 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 40.442 * [taylor]: Taking taylor expansion of -1 in lambda1 40.442 * [backup-simplify]: Simplify -1 into -1 40.442 * [taylor]: Taking taylor expansion of lambda2 in lambda1 40.442 * [backup-simplify]: Simplify lambda2 into lambda2 40.442 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 40.443 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 40.443 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 40.443 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 40.443 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 40.443 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 40.443 * [taylor]: Taking taylor expansion of -1 in lambda1 40.443 * [backup-simplify]: Simplify -1 into -1 40.443 * [taylor]: Taking taylor expansion of lambda1 in lambda1 40.443 * [backup-simplify]: Simplify 0 into 0 40.443 * [backup-simplify]: Simplify 1 into 1 40.443 * [backup-simplify]: Simplify (/ -1 1) into -1 40.443 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 40.443 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 40.443 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 40.443 * [taylor]: Taking taylor expansion of -1 in lambda1 40.444 * [backup-simplify]: Simplify -1 into -1 40.444 * [taylor]: Taking taylor expansion of lambda2 in lambda1 40.444 * [backup-simplify]: Simplify lambda2 into lambda2 40.444 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 40.444 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 40.444 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 40.444 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 40.444 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 40.444 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 40.444 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 40.444 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 40.444 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 40.444 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 40.444 * [taylor]: Taking taylor expansion of -1 in lambda2 40.444 * [backup-simplify]: Simplify -1 into -1 40.444 * [taylor]: Taking taylor expansion of lambda1 in lambda2 40.445 * [backup-simplify]: Simplify lambda1 into lambda1 40.445 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 40.445 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 40.445 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 40.445 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 40.445 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 40.445 * [taylor]: Taking taylor expansion of -1 in lambda2 40.445 * [backup-simplify]: Simplify -1 into -1 40.445 * [taylor]: Taking taylor expansion of lambda2 in lambda2 40.445 * [backup-simplify]: Simplify 0 into 0 40.445 * [backup-simplify]: Simplify 1 into 1 40.446 * [backup-simplify]: Simplify (/ -1 1) into -1 40.446 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 40.446 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 40.446 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 40.446 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 40.446 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 40.446 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 40.447 * [backup-simplify]: Simplify (+ 0) into 0 40.447 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 40.447 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 40.448 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 40.449 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 40.449 * [backup-simplify]: Simplify (+ 0 0) into 0 40.449 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 40.449 * [taylor]: Taking taylor expansion of 0 in lambda2 40.449 * [backup-simplify]: Simplify 0 into 0 40.449 * [backup-simplify]: Simplify 0 into 0 40.450 * [backup-simplify]: Simplify (+ 0) into 0 40.450 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 40.451 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 40.451 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 40.452 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 40.452 * [backup-simplify]: Simplify (+ 0 0) into 0 40.452 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 40.452 * [backup-simplify]: Simplify 0 into 0 40.453 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 40.454 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 40.454 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 40.455 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 40.456 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 40.456 * [backup-simplify]: Simplify (+ 0 0) into 0 40.457 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 40.457 * [taylor]: Taking taylor expansion of 0 in lambda2 40.457 * [backup-simplify]: Simplify 0 into 0 40.457 * [backup-simplify]: Simplify 0 into 0 40.457 * [backup-simplify]: Simplify 0 into 0 40.458 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 40.458 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 40.459 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 40.459 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 40.460 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 40.460 * [backup-simplify]: Simplify (+ 0 0) into 0 40.461 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 40.461 * [backup-simplify]: Simplify 0 into 0 40.462 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 40.463 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 40.463 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 40.465 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 40.465 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 40.466 * [backup-simplify]: Simplify (+ 0 0) into 0 40.467 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 40.467 * [taylor]: Taking taylor expansion of 0 in lambda2 40.467 * [backup-simplify]: Simplify 0 into 0 40.467 * [backup-simplify]: Simplify 0 into 0 40.468 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2)) 40.468 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 40.468 * [backup-simplify]: Simplify (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))) (cos phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 40.468 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi2 phi1 lambda2 lambda1) around 0 40.468 * [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 40.469 * [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))))) 40.469 * [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 40.470 * [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))))) 40.470 * [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 40.470 * [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))))) 40.470 * [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 40.471 * [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))))) 40.471 * [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 40.471 * [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))))) 40.472 * [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 40.472 * [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))))) 40.472 * [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 40.473 * [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))))) 40.473 * [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 40.473 * [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))))) 40.474 * [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))))) 40.474 * [taylor]: Taking taylor expansion of 0 in phi1 40.474 * [backup-simplify]: Simplify 0 into 0 40.474 * [taylor]: Taking taylor expansion of 0 in lambda2 40.474 * [backup-simplify]: Simplify 0 into 0 40.474 * [taylor]: Taking taylor expansion of 0 in lambda1 40.474 * [backup-simplify]: Simplify 0 into 0 40.474 * [backup-simplify]: Simplify 0 into 0 40.474 * [taylor]: Taking taylor expansion of 0 in lambda2 40.474 * [backup-simplify]: Simplify 0 into 0 40.474 * [taylor]: Taking taylor expansion of 0 in lambda1 40.474 * [backup-simplify]: Simplify 0 into 0 40.474 * [backup-simplify]: Simplify 0 into 0 40.474 * [taylor]: Taking taylor expansion of 0 in lambda1 40.475 * [backup-simplify]: Simplify 0 into 0 40.475 * [backup-simplify]: Simplify 0 into 0 40.475 * [backup-simplify]: Simplify 0 into 0 40.475 * [taylor]: Taking taylor expansion of 0 in phi1 40.475 * [backup-simplify]: Simplify 0 into 0 40.475 * [taylor]: Taking taylor expansion of 0 in lambda2 40.475 * [backup-simplify]: Simplify 0 into 0 40.475 * [taylor]: Taking taylor expansion of 0 in lambda1 40.475 * [backup-simplify]: Simplify 0 into 0 40.475 * [backup-simplify]: Simplify 0 into 0 40.475 * [taylor]: Taking taylor expansion of 0 in lambda2 40.475 * [backup-simplify]: Simplify 0 into 0 40.475 * [taylor]: Taking taylor expansion of 0 in lambda1 40.475 * [backup-simplify]: Simplify 0 into 0 40.475 * [backup-simplify]: Simplify 0 into 0 40.475 * [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))))) 40.477 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi1)) (* (+ (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (cbrt (* (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))))) (cos (/ 1 phi2)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 40.477 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in (phi2 phi1 lambda2 lambda1) around 0 40.477 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda1 40.477 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 40.477 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda2 40.478 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 40.478 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi1 40.479 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 40.479 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi2 40.480 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 40.480 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi2 40.481 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 40.481 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi1 40.481 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 40.482 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda2 40.482 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 40.482 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda1 40.483 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 40.484 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 40.484 * [taylor]: Taking taylor expansion of 0 in phi1 40.484 * [backup-simplify]: Simplify 0 into 0 40.484 * [taylor]: Taking taylor expansion of 0 in lambda2 40.484 * [backup-simplify]: Simplify 0 into 0 40.484 * [taylor]: Taking taylor expansion of 0 in lambda1 40.484 * [backup-simplify]: Simplify 0 into 0 40.484 * [backup-simplify]: Simplify 0 into 0 40.484 * [taylor]: Taking taylor expansion of 0 in lambda2 40.484 * [backup-simplify]: Simplify 0 into 0 40.484 * [taylor]: Taking taylor expansion of 0 in lambda1 40.484 * [backup-simplify]: Simplify 0 into 0 40.484 * [backup-simplify]: Simplify 0 into 0 40.484 * [taylor]: Taking taylor expansion of 0 in lambda1 40.484 * [backup-simplify]: Simplify 0 into 0 40.484 * [backup-simplify]: Simplify 0 into 0 40.484 * [backup-simplify]: Simplify 0 into 0 40.484 * [taylor]: Taking taylor expansion of 0 in phi1 40.485 * [backup-simplify]: Simplify 0 into 0 40.485 * [taylor]: Taking taylor expansion of 0 in lambda2 40.485 * [backup-simplify]: Simplify 0 into 0 40.485 * [taylor]: Taking taylor expansion of 0 in lambda1 40.485 * [backup-simplify]: Simplify 0 into 0 40.485 * [backup-simplify]: Simplify 0 into 0 40.485 * [taylor]: Taking taylor expansion of 0 in lambda2 40.485 * [backup-simplify]: Simplify 0 into 0 40.485 * [taylor]: Taking taylor expansion of 0 in lambda1 40.485 * [backup-simplify]: Simplify 0 into 0 40.485 * [backup-simplify]: Simplify 0 into 0 40.486 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 40.487 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (cos (/ 1 (- phi1))) (* (+ (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) (cbrt (* (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))))) (cos (/ 1 (- phi2))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 40.487 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in (phi2 phi1 lambda2 lambda1) around 0 40.487 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 40.488 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 40.488 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 40.489 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 40.489 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 40.489 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 40.490 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 40.490 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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)))))))) 40.490 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 40.491 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 40.491 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi1 40.492 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 40.492 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 40.493 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 40.493 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda1 40.493 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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)))))))) 40.494 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 40.494 * [taylor]: Taking taylor expansion of 0 in phi1 40.494 * [backup-simplify]: Simplify 0 into 0 40.494 * [taylor]: Taking taylor expansion of 0 in lambda2 40.495 * [backup-simplify]: Simplify 0 into 0 40.495 * [taylor]: Taking taylor expansion of 0 in lambda1 40.495 * [backup-simplify]: Simplify 0 into 0 40.495 * [backup-simplify]: Simplify 0 into 0 40.495 * [taylor]: Taking taylor expansion of 0 in lambda2 40.495 * [backup-simplify]: Simplify 0 into 0 40.495 * [taylor]: Taking taylor expansion of 0 in lambda1 40.495 * [backup-simplify]: Simplify 0 into 0 40.495 * [backup-simplify]: Simplify 0 into 0 40.495 * [taylor]: Taking taylor expansion of 0 in lambda1 40.495 * [backup-simplify]: Simplify 0 into 0 40.495 * [backup-simplify]: Simplify 0 into 0 40.495 * [backup-simplify]: Simplify 0 into 0 40.495 * [taylor]: Taking taylor expansion of 0 in phi1 40.495 * [backup-simplify]: Simplify 0 into 0 40.495 * [taylor]: Taking taylor expansion of 0 in lambda2 40.495 * [backup-simplify]: Simplify 0 into 0 40.495 * [taylor]: Taking taylor expansion of 0 in lambda1 40.495 * [backup-simplify]: Simplify 0 into 0 40.495 * [backup-simplify]: Simplify 0 into 0 40.495 * [taylor]: Taking taylor expansion of 0 in lambda2 40.495 * [backup-simplify]: Simplify 0 into 0 40.495 * [taylor]: Taking taylor expansion of 0 in lambda1 40.495 * [backup-simplify]: Simplify 0 into 0 40.495 * [backup-simplify]: Simplify 0 into 0 40.496 * [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))))) 40.496 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2 1 2 1 1) 40.497 * [backup-simplify]: Simplify (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) into (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) 40.497 * [approximate]: Taking taylor expansion of (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) in (lambda1 lambda2) around 0 40.497 * [taylor]: Taking taylor expansion of (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) in lambda2 40.497 * [taylor]: Taking taylor expansion of (pow (sin lambda1) 2) in lambda2 40.497 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 40.497 * [taylor]: Taking taylor expansion of lambda1 in lambda2 40.497 * [backup-simplify]: Simplify lambda1 into lambda1 40.497 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 40.497 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 40.497 * [backup-simplify]: Simplify (* (sin lambda1) 1) into (sin lambda1) 40.497 * [backup-simplify]: Simplify (* (cos lambda1) 0) into 0 40.497 * [backup-simplify]: Simplify (+ (sin lambda1) 0) into (sin lambda1) 40.497 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 2) in lambda2 40.497 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 40.498 * [taylor]: Taking taylor expansion of lambda2 in lambda2 40.498 * [backup-simplify]: Simplify 0 into 0 40.498 * [backup-simplify]: Simplify 1 into 1 40.498 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 40.499 * [taylor]: Taking taylor expansion of (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) in lambda1 40.499 * [taylor]: Taking taylor expansion of (pow (sin lambda1) 2) in lambda1 40.499 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 40.499 * [taylor]: Taking taylor expansion of lambda1 in lambda1 40.499 * [backup-simplify]: Simplify 0 into 0 40.499 * [backup-simplify]: Simplify 1 into 1 40.499 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 40.499 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 2) in lambda1 40.500 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 40.500 * [taylor]: Taking taylor expansion of lambda2 in lambda1 40.500 * [backup-simplify]: Simplify lambda2 into lambda2 40.500 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 40.500 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 40.500 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 40.500 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 40.500 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 40.500 * [taylor]: Taking taylor expansion of (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) in lambda1 40.500 * [taylor]: Taking taylor expansion of (pow (sin lambda1) 2) in lambda1 40.500 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 40.500 * [taylor]: Taking taylor expansion of lambda1 in lambda1 40.500 * [backup-simplify]: Simplify 0 into 0 40.500 * [backup-simplify]: Simplify 1 into 1 40.501 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 40.501 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 2) in lambda1 40.501 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 40.501 * [taylor]: Taking taylor expansion of lambda2 in lambda1 40.501 * [backup-simplify]: Simplify lambda2 into lambda2 40.501 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 40.501 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 40.501 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 40.501 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 40.501 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 40.502 * [backup-simplify]: Simplify (* 1 1) into 1 40.502 * [backup-simplify]: Simplify (* (sin lambda2) (sin lambda2)) into (pow (sin lambda2) 2) 40.502 * [backup-simplify]: Simplify (* 1 (pow (sin lambda2) 2)) into (pow (sin lambda2) 2) 40.502 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 2) in lambda2 40.503 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 40.503 * [taylor]: Taking taylor expansion of lambda2 in lambda2 40.503 * [backup-simplify]: Simplify 0 into 0 40.503 * [backup-simplify]: Simplify 1 into 1 40.503 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 40.504 * [backup-simplify]: Simplify (* 1 1) into 1 40.504 * [backup-simplify]: Simplify 1 into 1 40.504 * [backup-simplify]: Simplify (+ 0) into 0 40.505 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 40.506 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 40.506 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 40.506 * [backup-simplify]: Simplify (+ 0 0) into 0 40.507 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 (sin lambda2))) into 0 40.507 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 40.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 40.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sin lambda2) 2))) into 0 40.508 * [taylor]: Taking taylor expansion of 0 in lambda2 40.508 * [backup-simplify]: Simplify 0 into 0 40.508 * [backup-simplify]: Simplify 0 into 0 40.509 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 40.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 40.509 * [backup-simplify]: Simplify 0 into 0 40.510 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 40.510 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 40.510 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 40.511 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 40.511 * [backup-simplify]: Simplify (+ 0 0) into 0 40.511 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 (sin lambda2)))) into 0 40.512 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 40.513 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 40.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/3 (pow (sin lambda2) 2)))) into (- (* 1/3 (pow (sin lambda2) 2))) 40.513 * [taylor]: Taking taylor expansion of (- (* 1/3 (pow (sin lambda2) 2))) in lambda2 40.513 * [taylor]: Taking taylor expansion of (* 1/3 (pow (sin lambda2) 2)) in lambda2 40.513 * [taylor]: Taking taylor expansion of 1/3 in lambda2 40.513 * [backup-simplify]: Simplify 1/3 into 1/3 40.513 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 2) in lambda2 40.514 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 40.514 * [taylor]: Taking taylor expansion of lambda2 in lambda2 40.514 * [backup-simplify]: Simplify 0 into 0 40.514 * [backup-simplify]: Simplify 1 into 1 40.514 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 40.514 * [backup-simplify]: Simplify (* 1 1) into 1 40.514 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 40.515 * [backup-simplify]: Simplify (- 1/3) into -1/3 40.515 * [backup-simplify]: Simplify -1/3 into -1/3 40.515 * [backup-simplify]: Simplify 0 into 0 40.516 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 40.516 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 40.516 * [backup-simplify]: Simplify -1/3 into -1/3 40.517 * [backup-simplify]: Simplify (+ (* -1/3 (pow (* (pow lambda2 2) lambda1) 2)) (+ (* -1/3 (pow (* lambda2 (pow lambda1 2)) 2)) (* 1 (pow (* lambda2 lambda1) 2)))) into (- (* (pow lambda2 2) (pow lambda1 2)) (+ (* 1/3 (* (pow lambda2 2) (pow lambda1 4))) (* 1/3 (* (pow lambda2 4) (pow lambda1 2))))) 40.517 * [backup-simplify]: Simplify (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) into (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2)) 40.517 * [approximate]: Taking taylor expansion of (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2)) in (lambda1 lambda2) around 0 40.517 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2)) in lambda2 40.517 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 2) in lambda2 40.517 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 40.517 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 40.517 * [taylor]: Taking taylor expansion of lambda2 in lambda2 40.517 * [backup-simplify]: Simplify 0 into 0 40.517 * [backup-simplify]: Simplify 1 into 1 40.518 * [backup-simplify]: Simplify (/ 1 1) into 1 40.518 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 40.518 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda1)) 2) in lambda2 40.518 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 40.518 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 40.518 * [taylor]: Taking taylor expansion of lambda1 in lambda2 40.518 * [backup-simplify]: Simplify lambda1 into lambda1 40.518 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 40.518 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 40.518 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 40.518 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 40.518 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 40.518 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 40.518 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2)) in lambda1 40.518 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 2) in lambda1 40.518 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 40.518 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 40.518 * [taylor]: Taking taylor expansion of lambda2 in lambda1 40.518 * [backup-simplify]: Simplify lambda2 into lambda2 40.518 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 40.518 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 40.518 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 40.518 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 40.518 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 40.518 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 40.518 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda1)) 2) in lambda1 40.518 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 40.518 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 40.518 * [taylor]: Taking taylor expansion of lambda1 in lambda1 40.518 * [backup-simplify]: Simplify 0 into 0 40.518 * [backup-simplify]: Simplify 1 into 1 40.519 * [backup-simplify]: Simplify (/ 1 1) into 1 40.519 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 40.519 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2)) in lambda1 40.519 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 2) in lambda1 40.519 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 40.519 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 40.519 * [taylor]: Taking taylor expansion of lambda2 in lambda1 40.519 * [backup-simplify]: Simplify lambda2 into lambda2 40.519 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 40.519 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 40.519 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 40.519 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 40.519 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 40.519 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 40.519 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda1)) 2) in lambda1 40.519 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 40.519 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 40.519 * [taylor]: Taking taylor expansion of lambda1 in lambda1 40.519 * [backup-simplify]: Simplify 0 into 0 40.519 * [backup-simplify]: Simplify 1 into 1 40.520 * [backup-simplify]: Simplify (/ 1 1) into 1 40.520 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 40.520 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda2))) into (pow (sin (/ 1 lambda2)) 2) 40.520 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda1))) into (pow (sin (/ 1 lambda1)) 2) 40.520 * [backup-simplify]: Simplify (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2)) into (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2)) 40.520 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2)) in lambda2 40.520 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 2) in lambda2 40.520 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 40.520 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 40.520 * [taylor]: Taking taylor expansion of lambda2 in lambda2 40.520 * [backup-simplify]: Simplify 0 into 0 40.520 * [backup-simplify]: Simplify 1 into 1 40.520 * [backup-simplify]: Simplify (/ 1 1) into 1 40.520 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 40.520 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda1)) 2) in lambda2 40.520 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 40.520 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 40.520 * [taylor]: Taking taylor expansion of lambda1 in lambda2 40.520 * [backup-simplify]: Simplify lambda1 into lambda1 40.520 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 40.520 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 40.521 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 40.521 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 40.521 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 40.521 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 40.521 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda2))) into (pow (sin (/ 1 lambda2)) 2) 40.521 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda1))) into (pow (sin (/ 1 lambda1)) 2) 40.521 * [backup-simplify]: Simplify (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2)) into (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2)) 40.521 * [backup-simplify]: Simplify (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2)) into (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2)) 40.521 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 40.521 * [backup-simplify]: Simplify (+ 0) into 0 40.522 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 40.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 40.522 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 40.523 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 40.523 * [backup-simplify]: Simplify (+ 0 0) into 0 40.523 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda2)))) into 0 40.523 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 lambda2)) 2) 0) (* 0 (pow (sin (/ 1 lambda1)) 2))) into 0 40.523 * [taylor]: Taking taylor expansion of 0 in lambda2 40.523 * [backup-simplify]: Simplify 0 into 0 40.523 * [backup-simplify]: Simplify 0 into 0 40.523 * [backup-simplify]: Simplify (+ 0) into 0 40.524 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 40.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 40.524 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 40.525 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 40.525 * [backup-simplify]: Simplify (+ 0 0) into 0 40.525 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 40.525 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda2)))) into 0 40.525 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 lambda2)) 2) 0) (* 0 (pow (sin (/ 1 lambda1)) 2))) into 0 40.525 * [backup-simplify]: Simplify 0 into 0 40.526 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 40.526 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 40.527 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 40.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 40.527 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 40.528 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 40.528 * [backup-simplify]: Simplify (+ 0 0) into 0 40.528 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) into 0 40.529 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 lambda2)) 2) 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 lambda1)) 2)))) into 0 40.529 * [taylor]: Taking taylor expansion of 0 in lambda2 40.529 * [backup-simplify]: Simplify 0 into 0 40.529 * [backup-simplify]: Simplify 0 into 0 40.529 * [backup-simplify]: Simplify 0 into 0 40.529 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 40.530 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 40.530 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 40.530 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 40.531 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 40.531 * [backup-simplify]: Simplify (+ 0 0) into 0 40.531 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 40.531 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) into 0 40.532 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 lambda2)) 2) 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 lambda1)) 2)))) into 0 40.532 * [backup-simplify]: Simplify 0 into 0 40.533 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0 40.533 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 40.534 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 40.534 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 40.535 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 40.535 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 40.535 * [backup-simplify]: Simplify (+ 0 0) into 0 40.536 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2)))))) into 0 40.536 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 lambda2)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 lambda1)) 2))))) into 0 40.536 * [taylor]: Taking taylor expansion of 0 in lambda2 40.537 * [backup-simplify]: Simplify 0 into 0 40.537 * [backup-simplify]: Simplify 0 into 0 40.537 * [backup-simplify]: Simplify (* (pow (sin (/ 1 (/ 1 lambda2))) 2) (pow (sin (/ 1 (/ 1 lambda1))) 2)) into (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) 40.537 * [backup-simplify]: Simplify (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) into (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)) 40.537 * [approximate]: Taking taylor expansion of (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)) in (lambda1 lambda2) around 0 40.537 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)) in lambda2 40.537 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda1)) 2) in lambda2 40.537 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 40.537 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 40.537 * [taylor]: Taking taylor expansion of -1 in lambda2 40.537 * [backup-simplify]: Simplify -1 into -1 40.537 * [taylor]: Taking taylor expansion of lambda1 in lambda2 40.537 * [backup-simplify]: Simplify lambda1 into lambda1 40.537 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 40.537 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 40.537 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 40.537 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 40.537 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 40.537 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 40.537 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 2) in lambda2 40.537 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 40.537 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 40.537 * [taylor]: Taking taylor expansion of -1 in lambda2 40.537 * [backup-simplify]: Simplify -1 into -1 40.537 * [taylor]: Taking taylor expansion of lambda2 in lambda2 40.537 * [backup-simplify]: Simplify 0 into 0 40.537 * [backup-simplify]: Simplify 1 into 1 40.538 * [backup-simplify]: Simplify (/ -1 1) into -1 40.538 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 40.538 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)) in lambda1 40.538 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda1)) 2) in lambda1 40.538 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 40.538 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 40.538 * [taylor]: Taking taylor expansion of -1 in lambda1 40.538 * [backup-simplify]: Simplify -1 into -1 40.538 * [taylor]: Taking taylor expansion of lambda1 in lambda1 40.538 * [backup-simplify]: Simplify 0 into 0 40.538 * [backup-simplify]: Simplify 1 into 1 40.541 * [backup-simplify]: Simplify (/ -1 1) into -1 40.541 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 40.541 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 2) in lambda1 40.542 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 40.542 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 40.542 * [taylor]: Taking taylor expansion of -1 in lambda1 40.542 * [backup-simplify]: Simplify -1 into -1 40.542 * [taylor]: Taking taylor expansion of lambda2 in lambda1 40.542 * [backup-simplify]: Simplify lambda2 into lambda2 40.542 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 40.542 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 40.542 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 40.542 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 40.542 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 40.542 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 40.542 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)) in lambda1 40.542 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda1)) 2) in lambda1 40.542 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 40.542 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 40.542 * [taylor]: Taking taylor expansion of -1 in lambda1 40.542 * [backup-simplify]: Simplify -1 into -1 40.542 * [taylor]: Taking taylor expansion of lambda1 in lambda1 40.542 * [backup-simplify]: Simplify 0 into 0 40.542 * [backup-simplify]: Simplify 1 into 1 40.542 * [backup-simplify]: Simplify (/ -1 1) into -1 40.543 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 40.543 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 2) in lambda1 40.543 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 40.543 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 40.543 * [taylor]: Taking taylor expansion of -1 in lambda1 40.543 * [backup-simplify]: Simplify -1 into -1 40.543 * [taylor]: Taking taylor expansion of lambda2 in lambda1 40.543 * [backup-simplify]: Simplify lambda2 into lambda2 40.543 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 40.543 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 40.543 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 40.543 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 40.543 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 40.543 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 40.543 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda1))) into (pow (sin (/ -1 lambda1)) 2) 40.543 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) (sin (/ -1 lambda2))) into (pow (sin (/ -1 lambda2)) 2) 40.543 * [backup-simplify]: Simplify (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)) into (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)) 40.543 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)) in lambda2 40.543 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda1)) 2) in lambda2 40.543 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 40.543 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 40.543 * [taylor]: Taking taylor expansion of -1 in lambda2 40.543 * [backup-simplify]: Simplify -1 into -1 40.543 * [taylor]: Taking taylor expansion of lambda1 in lambda2 40.543 * [backup-simplify]: Simplify lambda1 into lambda1 40.543 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 40.543 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 40.544 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 40.544 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 40.544 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 40.544 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 40.544 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 2) in lambda2 40.544 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 40.544 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 40.544 * [taylor]: Taking taylor expansion of -1 in lambda2 40.544 * [backup-simplify]: Simplify -1 into -1 40.544 * [taylor]: Taking taylor expansion of lambda2 in lambda2 40.544 * [backup-simplify]: Simplify 0 into 0 40.544 * [backup-simplify]: Simplify 1 into 1 40.544 * [backup-simplify]: Simplify (/ -1 1) into -1 40.544 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 40.544 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda1))) into (pow (sin (/ -1 lambda1)) 2) 40.544 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) (sin (/ -1 lambda2))) into (pow (sin (/ -1 lambda2)) 2) 40.544 * [backup-simplify]: Simplify (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)) into (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)) 40.545 * [backup-simplify]: Simplify (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)) into (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)) 40.545 * [backup-simplify]: Simplify (+ 0) into 0 40.545 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 40.545 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 40.546 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 40.546 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 40.546 * [backup-simplify]: Simplify (+ 0 0) into 0 40.546 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 40.546 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda1)))) into 0 40.547 * [backup-simplify]: Simplify (+ (* (pow (sin (/ -1 lambda1)) 2) 0) (* 0 (pow (sin (/ -1 lambda2)) 2))) into 0 40.547 * [taylor]: Taking taylor expansion of 0 in lambda2 40.547 * [backup-simplify]: Simplify 0 into 0 40.547 * [backup-simplify]: Simplify 0 into 0 40.547 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 40.547 * [backup-simplify]: Simplify (+ 0) into 0 40.547 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 40.548 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 40.548 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 40.549 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 40.549 * [backup-simplify]: Simplify (+ 0 0) into 0 40.549 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda1)))) into 0 40.550 * [backup-simplify]: Simplify (+ (* (pow (sin (/ -1 lambda1)) 2) 0) (* 0 (pow (sin (/ -1 lambda2)) 2))) into 0 40.550 * [backup-simplify]: Simplify 0 into 0 40.551 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 40.551 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 40.552 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 40.552 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 40.553 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 40.553 * [backup-simplify]: Simplify (+ 0 0) into 0 40.554 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 40.554 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda1))))) into 0 40.555 * [backup-simplify]: Simplify (+ (* (pow (sin (/ -1 lambda1)) 2) 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 lambda2)) 2)))) into 0 40.555 * [taylor]: Taking taylor expansion of 0 in lambda2 40.555 * [backup-simplify]: Simplify 0 into 0 40.555 * [backup-simplify]: Simplify 0 into 0 40.555 * [backup-simplify]: Simplify 0 into 0 40.556 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 40.556 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 40.557 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 40.557 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 40.558 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 40.559 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 40.559 * [backup-simplify]: Simplify (+ 0 0) into 0 40.560 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda1))))) into 0 40.560 * [backup-simplify]: Simplify (+ (* (pow (sin (/ -1 lambda1)) 2) 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 lambda2)) 2)))) into 0 40.560 * [backup-simplify]: Simplify 0 into 0 40.561 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 40.562 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 40.562 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 40.564 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 40.565 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 40.565 * [backup-simplify]: Simplify (+ 0 0) into 0 40.566 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 40.567 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda1)))))) into 0 40.568 * [backup-simplify]: Simplify (+ (* (pow (sin (/ -1 lambda1)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 lambda2)) 2))))) into 0 40.568 * [taylor]: Taking taylor expansion of 0 in lambda2 40.568 * [backup-simplify]: Simplify 0 into 0 40.568 * [backup-simplify]: Simplify 0 into 0 40.568 * [backup-simplify]: Simplify (* (pow (sin (/ -1 (/ 1 (- lambda1)))) 2) (pow (sin (/ -1 (/ 1 (- lambda2)))) 2)) into (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) 40.568 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2 1 2 1 2) 40.568 * [backup-simplify]: Simplify (* (sin lambda1) (sin lambda2)) into (* (sin lambda1) (sin lambda2)) 40.568 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 40.569 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 40.569 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 40.569 * [taylor]: Taking taylor expansion of lambda1 in lambda2 40.569 * [backup-simplify]: Simplify lambda1 into lambda1 40.569 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 40.569 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 40.569 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 40.569 * [taylor]: Taking taylor expansion of lambda2 in lambda2 40.569 * [backup-simplify]: Simplify 0 into 0 40.569 * [backup-simplify]: Simplify 1 into 1 40.569 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 40.569 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 40.569 * [taylor]: Taking taylor expansion of lambda1 in lambda1 40.569 * [backup-simplify]: Simplify 0 into 0 40.569 * [backup-simplify]: Simplify 1 into 1 40.569 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 40.569 * [taylor]: Taking taylor expansion of lambda2 in lambda1 40.569 * [backup-simplify]: Simplify lambda2 into lambda2 40.569 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 40.569 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 40.569 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 40.569 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 40.569 * [taylor]: Taking taylor expansion of lambda1 in lambda1 40.569 * [backup-simplify]: Simplify 0 into 0 40.569 * [backup-simplify]: Simplify 1 into 1 40.569 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 40.569 * [taylor]: Taking taylor expansion of lambda2 in lambda1 40.569 * [backup-simplify]: Simplify lambda2 into lambda2 40.569 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 40.569 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 40.570 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 40.570 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 40.570 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 40.570 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0 40.570 * [taylor]: Taking taylor expansion of 0 in lambda2 40.570 * [backup-simplify]: Simplify 0 into 0 40.570 * [backup-simplify]: Simplify 0 into 0 40.570 * [backup-simplify]: Simplify (+ 0) into 0 40.571 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 40.572 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 40.572 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 40.572 * [backup-simplify]: Simplify (+ 0 0) into 0 40.573 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 40.573 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2) 40.574 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 40.574 * [taylor]: Taking taylor expansion of lambda2 in lambda2 40.574 * [backup-simplify]: Simplify 0 into 0 40.574 * [backup-simplify]: Simplify 1 into 1 40.574 * [backup-simplify]: Simplify 0 into 0 40.574 * [backup-simplify]: Simplify 0 into 0 40.575 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 40.575 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 40.576 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 40.577 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 40.577 * [backup-simplify]: Simplify (+ 0 0) into 0 40.578 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 40.579 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0 40.579 * [taylor]: Taking taylor expansion of 0 in lambda2 40.579 * [backup-simplify]: Simplify 0 into 0 40.579 * [backup-simplify]: Simplify 0 into 0 40.580 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 40.580 * [backup-simplify]: Simplify 1 into 1 40.580 * [backup-simplify]: Simplify 0 into 0 40.581 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 40.582 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 40.583 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 40.584 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 40.584 * [backup-simplify]: Simplify (+ 0 0) into 0 40.586 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 40.587 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda2))))) into (- (* 1/6 (sin lambda2))) 40.588 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 40.588 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 40.588 * [taylor]: Taking taylor expansion of 1/6 in lambda2 40.588 * [backup-simplify]: Simplify 1/6 into 1/6 40.588 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 40.588 * [taylor]: Taking taylor expansion of lambda2 in lambda2 40.588 * [backup-simplify]: Simplify 0 into 0 40.588 * [backup-simplify]: Simplify 1 into 1 40.588 * [backup-simplify]: Simplify (* 1/6 0) into 0 40.589 * [backup-simplify]: Simplify (- 0) into 0 40.589 * [backup-simplify]: Simplify 0 into 0 40.589 * [backup-simplify]: Simplify 0 into 0 40.590 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 40.590 * [backup-simplify]: Simplify 0 into 0 40.590 * [backup-simplify]: Simplify 0 into 0 40.592 * [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 40.593 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 40.595 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 40.596 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 40.596 * [backup-simplify]: Simplify (+ 0 0) into 0 40.598 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 40.600 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda2)))))) into 0 40.600 * [taylor]: Taking taylor expansion of 0 in lambda2 40.600 * [backup-simplify]: Simplify 0 into 0 40.600 * [backup-simplify]: Simplify 0 into 0 40.600 * [backup-simplify]: Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1) 40.600 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 40.600 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in (lambda1 lambda2) around 0 40.600 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 40.600 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 40.600 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 40.600 * [taylor]: Taking taylor expansion of lambda2 in lambda2 40.600 * [backup-simplify]: Simplify 0 into 0 40.600 * [backup-simplify]: Simplify 1 into 1 40.601 * [backup-simplify]: Simplify (/ 1 1) into 1 40.601 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 40.601 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 40.601 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 40.601 * [taylor]: Taking taylor expansion of lambda1 in lambda2 40.601 * [backup-simplify]: Simplify lambda1 into lambda1 40.601 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 40.601 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 40.601 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 40.601 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 40.601 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 40.601 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 40.601 * [taylor]: Taking taylor expansion of lambda2 in lambda1 40.601 * [backup-simplify]: Simplify lambda2 into lambda2 40.601 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 40.601 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 40.601 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 40.601 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 40.601 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 40.601 * [taylor]: Taking taylor expansion of lambda1 in lambda1 40.602 * [backup-simplify]: Simplify 0 into 0 40.602 * [backup-simplify]: Simplify 1 into 1 40.602 * [backup-simplify]: Simplify (/ 1 1) into 1 40.602 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 40.602 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 40.602 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 40.602 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 40.602 * [taylor]: Taking taylor expansion of lambda2 in lambda1 40.602 * [backup-simplify]: Simplify lambda2 into lambda2 40.602 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 40.602 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 40.602 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 40.602 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 40.603 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 40.603 * [taylor]: Taking taylor expansion of lambda1 in lambda1 40.603 * [backup-simplify]: Simplify 0 into 0 40.603 * [backup-simplify]: Simplify 1 into 1 40.603 * [backup-simplify]: Simplify (/ 1 1) into 1 40.603 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 40.603 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 40.603 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 40.603 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 40.604 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 40.604 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 40.604 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 40.604 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 40.604 * [taylor]: Taking taylor expansion of lambda2 in lambda2 40.604 * [backup-simplify]: Simplify 0 into 0 40.604 * [backup-simplify]: Simplify 1 into 1 40.604 * [backup-simplify]: Simplify (/ 1 1) into 1 40.604 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 40.604 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 40.604 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 40.604 * [taylor]: Taking taylor expansion of lambda1 in lambda2 40.604 * [backup-simplify]: Simplify lambda1 into lambda1 40.604 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 40.604 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 40.604 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 40.605 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 40.605 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 40.605 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 40.605 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 40.605 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 40.605 * [backup-simplify]: Simplify (+ 0) into 0 40.606 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 40.606 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 40.607 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 40.607 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 40.608 * [backup-simplify]: Simplify (+ 0 0) into 0 40.608 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 40.608 * [taylor]: Taking taylor expansion of 0 in lambda2 40.608 * [backup-simplify]: Simplify 0 into 0 40.608 * [backup-simplify]: Simplify 0 into 0 40.609 * [backup-simplify]: Simplify (+ 0) into 0 40.609 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 40.609 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 40.610 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 40.611 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 40.611 * [backup-simplify]: Simplify (+ 0 0) into 0 40.612 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 40.612 * [backup-simplify]: Simplify 0 into 0 40.613 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 40.613 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 40.614 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 40.615 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 40.615 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 40.615 * [backup-simplify]: Simplify (+ 0 0) into 0 40.616 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 40.616 * [taylor]: Taking taylor expansion of 0 in lambda2 40.616 * [backup-simplify]: Simplify 0 into 0 40.616 * [backup-simplify]: Simplify 0 into 0 40.616 * [backup-simplify]: Simplify 0 into 0 40.616 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 40.617 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 40.617 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 40.617 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 40.618 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 40.618 * [backup-simplify]: Simplify (+ 0 0) into 0 40.618 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 40.618 * [backup-simplify]: Simplify 0 into 0 40.619 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 40.619 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 40.620 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 40.620 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 40.621 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 40.621 * [backup-simplify]: Simplify (+ 0 0) into 0 40.622 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0 40.622 * [taylor]: Taking taylor expansion of 0 in lambda2 40.622 * [backup-simplify]: Simplify 0 into 0 40.622 * [backup-simplify]: Simplify 0 into 0 40.622 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))) into (* (sin lambda2) (sin lambda1)) 40.622 * [backup-simplify]: Simplify (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 40.622 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 40.622 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 40.622 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 40.622 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 40.622 * [taylor]: Taking taylor expansion of -1 in lambda2 40.622 * [backup-simplify]: Simplify -1 into -1 40.622 * [taylor]: Taking taylor expansion of lambda1 in lambda2 40.622 * [backup-simplify]: Simplify lambda1 into lambda1 40.622 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 40.622 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 40.622 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 40.622 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 40.622 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 40.622 * [taylor]: Taking taylor expansion of -1 in lambda2 40.622 * [backup-simplify]: Simplify -1 into -1 40.622 * [taylor]: Taking taylor expansion of lambda2 in lambda2 40.622 * [backup-simplify]: Simplify 0 into 0 40.622 * [backup-simplify]: Simplify 1 into 1 40.623 * [backup-simplify]: Simplify (/ -1 1) into -1 40.623 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 40.623 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 40.623 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 40.623 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 40.623 * [taylor]: Taking taylor expansion of -1 in lambda1 40.623 * [backup-simplify]: Simplify -1 into -1 40.623 * [taylor]: Taking taylor expansion of lambda1 in lambda1 40.623 * [backup-simplify]: Simplify 0 into 0 40.623 * [backup-simplify]: Simplify 1 into 1 40.623 * [backup-simplify]: Simplify (/ -1 1) into -1 40.623 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 40.623 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 40.623 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 40.623 * [taylor]: Taking taylor expansion of -1 in lambda1 40.623 * [backup-simplify]: Simplify -1 into -1 40.623 * [taylor]: Taking taylor expansion of lambda2 in lambda1 40.623 * [backup-simplify]: Simplify lambda2 into lambda2 40.623 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 40.623 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 40.623 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 40.623 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 40.623 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 40.623 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 40.623 * [taylor]: Taking taylor expansion of -1 in lambda1 40.623 * [backup-simplify]: Simplify -1 into -1 40.623 * [taylor]: Taking taylor expansion of lambda1 in lambda1 40.623 * [backup-simplify]: Simplify 0 into 0 40.623 * [backup-simplify]: Simplify 1 into 1 40.624 * [backup-simplify]: Simplify (/ -1 1) into -1 40.624 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 40.624 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 40.624 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 40.624 * [taylor]: Taking taylor expansion of -1 in lambda1 40.624 * [backup-simplify]: Simplify -1 into -1 40.624 * [taylor]: Taking taylor expansion of lambda2 in lambda1 40.624 * [backup-simplify]: Simplify lambda2 into lambda2 40.624 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 40.624 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 40.624 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 40.624 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 40.624 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 40.624 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 40.624 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 40.624 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 40.624 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 40.624 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 40.624 * [taylor]: Taking taylor expansion of -1 in lambda2 40.624 * [backup-simplify]: Simplify -1 into -1 40.624 * [taylor]: Taking taylor expansion of lambda1 in lambda2 40.624 * [backup-simplify]: Simplify lambda1 into lambda1 40.624 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 40.624 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 40.624 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 40.624 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 40.624 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 40.624 * [taylor]: Taking taylor expansion of -1 in lambda2 40.624 * [backup-simplify]: Simplify -1 into -1 40.624 * [taylor]: Taking taylor expansion of lambda2 in lambda2 40.625 * [backup-simplify]: Simplify 0 into 0 40.625 * [backup-simplify]: Simplify 1 into 1 40.625 * [backup-simplify]: Simplify (/ -1 1) into -1 40.625 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 40.625 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 40.625 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 40.625 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 40.625 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 40.625 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 40.625 * [backup-simplify]: Simplify (+ 0) into 0 40.626 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 40.626 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 40.626 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 40.627 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 40.627 * [backup-simplify]: Simplify (+ 0 0) into 0 40.627 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 40.627 * [taylor]: Taking taylor expansion of 0 in lambda2 40.627 * [backup-simplify]: Simplify 0 into 0 40.627 * [backup-simplify]: Simplify 0 into 0 40.628 * [backup-simplify]: Simplify (+ 0) into 0 40.628 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 40.628 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 40.628 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 40.629 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 40.629 * [backup-simplify]: Simplify (+ 0 0) into 0 40.629 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 40.629 * [backup-simplify]: Simplify 0 into 0 40.630 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 40.630 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 40.630 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 40.631 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 40.631 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 40.631 * [backup-simplify]: Simplify (+ 0 0) into 0 40.632 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 40.632 * [taylor]: Taking taylor expansion of 0 in lambda2 40.632 * [backup-simplify]: Simplify 0 into 0 40.632 * [backup-simplify]: Simplify 0 into 0 40.632 * [backup-simplify]: Simplify 0 into 0 40.632 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 40.633 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 40.633 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 40.633 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 40.633 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 40.634 * [backup-simplify]: Simplify (+ 0 0) into 0 40.634 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 40.634 * [backup-simplify]: Simplify 0 into 0 40.635 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 40.635 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 40.635 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 40.636 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 40.637 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 40.637 * [backup-simplify]: Simplify (+ 0 0) into 0 40.638 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 40.638 * [taylor]: Taking taylor expansion of 0 in lambda2 40.638 * [backup-simplify]: Simplify 0 into 0 40.638 * [backup-simplify]: Simplify 0 into 0 40.638 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2)) 40.638 * * * [progress]: simplifying candidates 40.638 * * * * [progress]: [ 1 / 97 ] simplifiying candidate # 40.638 * * * * [progress]: [ 2 / 97 ] simplifiying candidate # 40.638 * * * * [progress]: [ 3 / 97 ] simplifiying candidate # 40.638 * [simplify]: Simplifying (log (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))) 40.638 * * [simplify]: iters left: 6 (9 enodes) 40.640 * * [simplify]: iters left: 5 (38 enodes) 40.647 * * [simplify]: iters left: 4 (78 enodes) 40.666 * * [simplify]: iters left: 3 (149 enodes) 40.705 * * [simplify]: iters left: 2 (190 enodes) 40.743 * * [simplify]: iters left: 1 (268 enodes) 40.804 * * [simplify]: Extracting #0: cost 1 inf + 0 40.804 * * [simplify]: Extracting #1: cost 5 inf + 0 40.804 * * [simplify]: Extracting #2: cost 11 inf + 0 40.804 * * [simplify]: Extracting #3: cost 46 inf + 0 40.804 * * [simplify]: Extracting #4: cost 97 inf + 659 40.808 * * [simplify]: Extracting #5: cost 61 inf + 10014 40.811 * * [simplify]: Extracting #6: cost 10 inf + 30135 40.819 * * [simplify]: Extracting #7: cost 0 inf + 34759 40.827 * [simplify]: Simplified to (log (* (sin lambda2) (sin lambda1))) 40.827 * [simplify]: Simplified (2 2 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (exp (log (* (sin lambda2) (sin lambda1))))) (cos phi2))))))) 40.827 * * * * [progress]: [ 4 / 97 ] simplifiying candidate # 40.828 * [simplify]: Simplifying (exp (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))) 40.828 * * [simplify]: iters left: 6 (9 enodes) 40.832 * * [simplify]: iters left: 5 (38 enodes) 40.846 * * [simplify]: iters left: 4 (78 enodes) 40.877 * * [simplify]: iters left: 3 (149 enodes) 40.909 * * [simplify]: iters left: 2 (190 enodes) 40.979 * * [simplify]: iters left: 1 (274 enodes) 41.067 * * [simplify]: Extracting #0: cost 1 inf + 0 41.067 * * [simplify]: Extracting #1: cost 11 inf + 0 41.067 * * [simplify]: Extracting #2: cost 26 inf + 0 41.067 * * [simplify]: Extracting #3: cost 53 inf + 471 41.068 * * [simplify]: Extracting #4: cost 91 inf + 4127 41.070 * * [simplify]: Extracting #5: cost 62 inf + 10803 41.073 * * [simplify]: Extracting #6: cost 17 inf + 30290 41.078 * * [simplify]: Extracting #7: cost 0 inf + 38474 41.082 * [simplify]: Simplified to (exp (* (sin lambda2) (sin lambda1))) 41.082 * [simplify]: Simplified (2 2 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (log (exp (* (sin lambda2) (sin lambda1))))) (cos phi2))))))) 41.083 * * * * [progress]: [ 5 / 97 ] simplifiying candidate # 41.083 * [simplify]: Simplifying (cbrt (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) 41.083 * * [simplify]: iters left: 6 (7 enodes) 41.085 * * [simplify]: iters left: 5 (29 enodes) 41.090 * * [simplify]: iters left: 4 (48 enodes) 41.098 * * [simplify]: Extracting #0: cost 1 inf + 0 41.098 * * [simplify]: Extracting #1: cost 3 inf + 0 41.098 * * [simplify]: Extracting #2: cost 11 inf + 0 41.098 * * [simplify]: Extracting #3: cost 20 inf + 0 41.098 * * [simplify]: Extracting #4: cost 17 inf + 63 41.098 * * [simplify]: Extracting #5: cost 12 inf + 488 41.098 * * [simplify]: Extracting #6: cost 2 inf + 2186 41.099 * * [simplify]: Extracting #7: cost 0 inf + 2750 41.099 * [simplify]: Simplified to (cbrt (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))) 41.099 * [simplify]: Simplified (2 2 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (cbrt (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))) (cbrt (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 41.100 * [simplify]: Simplifying (cbrt (* (sin lambda1) (sin lambda2))) 41.100 * * [simplify]: iters left: 4 (6 enodes) 41.101 * * [simplify]: iters left: 3 (19 enodes) 41.103 * * [simplify]: Extracting #0: cost 1 inf + 0 41.103 * * [simplify]: Extracting #1: cost 3 inf + 0 41.103 * * [simplify]: Extracting #2: cost 6 inf + 0 41.103 * * [simplify]: Extracting #3: cost 10 inf + 0 41.103 * * [simplify]: Extracting #4: cost 6 inf + 124 41.104 * * [simplify]: Extracting #5: cost 0 inf + 1054 41.104 * [simplify]: Simplified to (cbrt (* (sin lambda2) (sin lambda1))) 41.104 * [simplify]: Simplified (2 2 1 2 2 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (cbrt (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda2) (sin lambda1))))) (cos phi2))))))) 41.104 * * * * [progress]: [ 6 / 97 ] simplifiying candidate # 41.104 * [simplify]: Simplifying (cbrt (* (* (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))))) 41.104 * * [simplify]: iters left: 6 (10 enodes) 41.109 * * [simplify]: iters left: 5 (36 enodes) 41.116 * * [simplify]: iters left: 4 (56 enodes) 41.137 * * [simplify]: iters left: 3 (154 enodes) 41.199 * * [simplify]: iters left: 2 (398 enodes) 41.401 * * [simplify]: Extracting #0: cost 1 inf + 0 41.401 * * [simplify]: Extracting #1: cost 6 inf + 0 41.401 * * [simplify]: Extracting #2: cost 41 inf + 0 41.402 * * [simplify]: Extracting #3: cost 156 inf + 1 41.402 * * [simplify]: Extracting #4: cost 153 inf + 2626 41.407 * * [simplify]: Extracting #5: cost 71 inf + 27760 41.420 * * [simplify]: Extracting #6: cost 3 inf + 54991 41.434 * * [simplify]: Extracting #7: cost 0 inf + 56357 41.448 * [simplify]: Simplified to (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))) 41.448 * [simplify]: Simplified (2 2 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (/ (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))) (cbrt (* (* 2 2) 2)))) (cos phi2))))))) 41.448 * [simplify]: Simplifying (cbrt (* (* 2 2) 2)) 41.448 * * [simplify]: iters left: 5 (4 enodes) 41.452 * * [simplify]: iters left: 4 (15 enodes) 41.454 * * [simplify]: Extracting #0: cost 1 inf + 0 41.454 * * [simplify]: Extracting #1: cost 3 inf + 0 41.454 * * [simplify]: Extracting #2: cost 2 inf + 1 41.454 * * [simplify]: Extracting #3: cost 1 inf + 82 41.454 * * [simplify]: Extracting #4: cost 0 inf + 163 41.454 * [simplify]: Simplified to (cbrt 8) 41.454 * [simplify]: Simplified (2 2 1 2 2 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (/ (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))) (cbrt 8))) (cos phi2))))))) 41.454 * * * * [progress]: [ 7 / 97 ] simplifiying candidate # 41.455 * [simplify]: Simplifying (cbrt (* (* (* (sin lambda1) (sin lambda2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))))) 41.455 * * [simplify]: iters left: 6 (13 enodes) 41.460 * * [simplify]: iters left: 5 (51 enodes) 41.476 * * [simplify]: iters left: 4 (99 enodes) 41.516 * * [simplify]: iters left: 3 (320 enodes) 41.642 * * [simplify]: Extracting #0: cost 1 inf + 0 41.642 * * [simplify]: Extracting #1: cost 3 inf + 0 41.642 * * [simplify]: Extracting #2: cost 26 inf + 0 41.643 * * [simplify]: Extracting #3: cost 125 inf + 0 41.644 * * [simplify]: Extracting #4: cost 164 inf + 509 41.645 * * [simplify]: Extracting #5: cost 159 inf + 1263 41.651 * * [simplify]: Extracting #6: cost 95 inf + 21532 41.670 * * [simplify]: Extracting #7: cost 19 inf + 51283 41.687 * * [simplify]: Extracting #8: cost 0 inf + 57661 41.699 * [simplify]: Simplified to (cbrt (* (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (* (sin lambda2) (sin lambda1)) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))))) 41.699 * [simplify]: Simplified (2 2 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (/ (cbrt (* (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (* (sin lambda2) (sin lambda1)) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))))) (cbrt (* 2 2)))) (cos phi2))))))) 41.700 * [simplify]: Simplifying (cbrt (* 2 2)) 41.700 * * [simplify]: iters left: 3 (3 enodes) 41.703 * * [simplify]: iters left: 2 (10 enodes) 41.705 * * [simplify]: Extracting #0: cost 1 inf + 0 41.705 * * [simplify]: Extracting #1: cost 3 inf + 0 41.705 * * [simplify]: Extracting #2: cost 0 inf + 163 41.705 * [simplify]: Simplified to (cbrt 4) 41.705 * [simplify]: Simplified (2 2 1 2 2 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (/ (cbrt (* (* (* (sin lambda1) (sin lambda2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))))) (cbrt 4))) (cos phi2))))))) 41.705 * * * * [progress]: [ 8 / 97 ] simplifiying candidate # 41.705 * [simplify]: Simplifying (cbrt (* (* (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))))) 41.705 * * [simplify]: iters left: 6 (13 enodes) 41.708 * * [simplify]: iters left: 5 (49 enodes) 41.715 * * [simplify]: iters left: 4 (81 enodes) 41.731 * * [simplify]: iters left: 3 (218 enodes) 41.884 * * [simplify]: Extracting #0: cost 1 inf + 0 41.884 * * [simplify]: Extracting #1: cost 3 inf + 0 41.884 * * [simplify]: Extracting #2: cost 25 inf + 0 41.884 * * [simplify]: Extracting #3: cost 115 inf + 0 41.886 * * [simplify]: Extracting #4: cost 129 inf + 286 41.887 * * [simplify]: Extracting #5: cost 112 inf + 3924 41.898 * * [simplify]: Extracting #6: cost 34 inf + 32381 41.916 * * [simplify]: Extracting #7: cost 0 inf + 46408 41.926 * * [simplify]: Extracting #8: cost 0 inf + 46248 41.937 * [simplify]: Simplified to (cbrt (* (* (* (sin lambda1) (sin lambda2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1)))) (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))))) 41.937 * [simplify]: Simplified (2 2 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (/ (cbrt (* (* (* (sin lambda1) (sin lambda2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1)))) (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))))) (cbrt (* 2 2)))) (cos phi2))))))) 41.937 * [simplify]: Simplifying (cbrt (* 2 2)) 41.937 * * [simplify]: iters left: 3 (3 enodes) 41.939 * * [simplify]: iters left: 2 (10 enodes) 41.941 * * [simplify]: Extracting #0: cost 1 inf + 0 41.941 * * [simplify]: Extracting #1: cost 3 inf + 0 41.941 * * [simplify]: Extracting #2: cost 0 inf + 163 41.941 * [simplify]: Simplified to (cbrt 4) 41.942 * [simplify]: Simplified (2 2 1 2 2 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (/ (cbrt (* (* (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))))) (cbrt 4))) (cos phi2))))))) 41.942 * * * * [progress]: [ 9 / 97 ] simplifiying candidate # 41.942 * [simplify]: Simplifying (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))))) 41.942 * * [simplify]: iters left: 6 (13 enodes) 41.945 * * [simplify]: iters left: 5 (55 enodes) 41.954 * * [simplify]: iters left: 4 (115 enodes) 42.002 * * [simplify]: iters left: 3 (313 enodes) 42.183 * * [simplify]: Extracting #0: cost 1 inf + 0 42.183 * * [simplify]: Extracting #1: cost 3 inf + 0 42.183 * * [simplify]: Extracting #2: cost 28 inf + 0 42.183 * * [simplify]: Extracting #3: cost 93 inf + 0 42.184 * * [simplify]: Extracting #4: cost 111 inf + 751 42.184 * * [simplify]: Extracting #5: cost 99 inf + 2856 42.187 * * [simplify]: Extracting #6: cost 62 inf + 12691 42.193 * * [simplify]: Extracting #7: cost 14 inf + 29706 42.204 * * [simplify]: Extracting #8: cost 0 inf + 36534 42.221 * [simplify]: Simplified to (cbrt (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))))) 42.221 * [simplify]: Simplified (2 2 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (/ (cbrt (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))))) (cbrt 2))) (cos phi2))))))) 42.221 * [simplify]: Simplifying (cbrt 2) 42.221 * * [simplify]: iters left: 1 (2 enodes) 42.223 * * [simplify]: Extracting #0: cost 1 inf + 0 42.223 * * [simplify]: Extracting #1: cost 3 inf + 0 42.224 * * [simplify]: Extracting #2: cost 2 inf + 1 42.224 * * [simplify]: Extracting #3: cost 0 inf + 163 42.224 * [simplify]: Simplified to (cbrt 2) 42.224 * [simplify]: Simplified (2 2 1 2 2 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (/ (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))))) (cbrt 2))) (cos phi2))))))) 42.224 * * * * [progress]: [ 10 / 97 ] simplifiying candidate # 42.224 * [simplify]: Simplifying (cbrt (* (* (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))) (* (sin lambda1) (sin lambda2)))) 42.225 * * [simplify]: iters left: 6 (13 enodes) 42.230 * * [simplify]: iters left: 5 (50 enodes) 42.245 * * [simplify]: iters left: 4 (79 enodes) 42.265 * * [simplify]: iters left: 3 (179 enodes) 42.342 * * [simplify]: Extracting #0: cost 1 inf + 0 42.342 * * [simplify]: Extracting #1: cost 3 inf + 0 42.342 * * [simplify]: Extracting #2: cost 26 inf + 0 42.343 * * [simplify]: Extracting #3: cost 112 inf + 0 42.344 * * [simplify]: Extracting #4: cost 149 inf + 124 42.345 * * [simplify]: Extracting #5: cost 134 inf + 2978 42.354 * * [simplify]: Extracting #6: cost 63 inf + 26961 42.373 * * [simplify]: Extracting #7: cost 0 inf + 51306 42.382 * [simplify]: Simplified to (cbrt (* (sin lambda1) (* (sin lambda2) (* (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))) (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))))))) 42.383 * [simplify]: Simplified (2 2 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (/ (cbrt (* (sin lambda1) (* (sin lambda2) (* (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))) (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))))))) (cbrt (* 2 2)))) (cos phi2))))))) 42.383 * [simplify]: Simplifying (cbrt (* 2 2)) 42.383 * * [simplify]: iters left: 3 (3 enodes) 42.385 * * [simplify]: iters left: 2 (10 enodes) 42.387 * * [simplify]: Extracting #0: cost 1 inf + 0 42.387 * * [simplify]: Extracting #1: cost 3 inf + 0 42.387 * * [simplify]: Extracting #2: cost 0 inf + 163 42.387 * [simplify]: Simplified to (cbrt 4) 42.387 * [simplify]: Simplified (2 2 1 2 2 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (/ (cbrt (* (* (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))) (* (sin lambda1) (sin lambda2)))) (cbrt 4))) (cos phi2))))))) 42.388 * * * * [progress]: [ 11 / 97 ] simplifiying candidate # 42.388 * [simplify]: Simplifying (cbrt (* (* (* (sin lambda1) (sin lambda2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))) (* (sin lambda1) (sin lambda2)))) 42.388 * * [simplify]: iters left: 6 (13 enodes) 42.391 * * [simplify]: iters left: 5 (51 enodes) 42.399 * * [simplify]: iters left: 4 (96 enodes) 42.429 * * [simplify]: iters left: 3 (259 enodes) 42.595 * * [simplify]: Extracting #0: cost 1 inf + 0 42.595 * * [simplify]: Extracting #1: cost 3 inf + 0 42.596 * * [simplify]: Extracting #2: cost 34 inf + 0 42.596 * * [simplify]: Extracting #3: cost 108 inf + 0 42.596 * * [simplify]: Extracting #4: cost 121 inf + 1176 42.597 * * [simplify]: Extracting #5: cost 106 inf + 4429 42.601 * * [simplify]: Extracting #6: cost 48 inf + 23866 42.608 * * [simplify]: Extracting #7: cost 0 inf + 42381 42.621 * [simplify]: Simplified to (cbrt (* (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))))) 42.622 * [simplify]: Simplified (2 2 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (/ (cbrt (* (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))))) (cbrt 2))) (cos phi2))))))) 42.622 * [simplify]: Simplifying (cbrt 2) 42.622 * * [simplify]: iters left: 1 (2 enodes) 42.625 * * [simplify]: Extracting #0: cost 1 inf + 0 42.625 * * [simplify]: Extracting #1: cost 3 inf + 0 42.625 * * [simplify]: Extracting #2: cost 2 inf + 1 42.625 * * [simplify]: Extracting #3: cost 0 inf + 163 42.625 * [simplify]: Simplified to (cbrt 2) 42.625 * [simplify]: Simplified (2 2 1 2 2 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (/ (cbrt (* (* (* (sin lambda1) (sin lambda2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))) (* (sin lambda1) (sin lambda2)))) (cbrt 2))) (cos phi2))))))) 42.625 * * * * [progress]: [ 12 / 97 ] simplifiying candidate # 42.626 * [simplify]: Simplifying (cbrt (* (* (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2)))) 42.626 * * [simplify]: iters left: 6 (13 enodes) 42.632 * * [simplify]: iters left: 5 (53 enodes) 42.649 * * [simplify]: iters left: 4 (101 enodes) 42.693 * * [simplify]: iters left: 3 (235 enodes) 42.806 * * [simplify]: Extracting #0: cost 1 inf + 0 42.806 * * [simplify]: Extracting #1: cost 3 inf + 0 42.806 * * [simplify]: Extracting #2: cost 30 inf + 0 42.806 * * [simplify]: Extracting #3: cost 98 inf + 0 42.807 * * [simplify]: Extracting #4: cost 118 inf + 286 42.808 * * [simplify]: Extracting #5: cost 94 inf + 5036 42.812 * * [simplify]: Extracting #6: cost 29 inf + 28265 42.823 * * [simplify]: Extracting #7: cost 0 inf + 38922 42.836 * [simplify]: Simplified to (cbrt (* (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) 42.836 * [simplify]: Simplified (2 2 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (/ (cbrt (* (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (cbrt 2))) (cos phi2))))))) 42.837 * [simplify]: Simplifying (cbrt 2) 42.837 * * [simplify]: iters left: 1 (2 enodes) 42.838 * * [simplify]: Extracting #0: cost 1 inf + 0 42.838 * * [simplify]: Extracting #1: cost 3 inf + 0 42.838 * * [simplify]: Extracting #2: cost 2 inf + 1 42.838 * * [simplify]: Extracting #3: cost 0 inf + 163 42.838 * [simplify]: Simplified to (cbrt 2) 42.838 * [simplify]: Simplified (2 2 1 2 2 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (/ (cbrt (* (* (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2)))) (cbrt 2))) (cos phi2))))))) 42.838 * * * * [progress]: [ 13 / 97 ] simplifiying candidate # 42.839 * [simplify]: Simplifying (* (cbrt (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))) (cbrt (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2)))))) 42.839 * * [simplify]: iters left: 6 (10 enodes) 42.841 * * [simplify]: iters left: 5 (41 enodes) 42.848 * * [simplify]: iters left: 4 (81 enodes) 42.867 * * [simplify]: iters left: 3 (156 enodes) 42.914 * * [simplify]: iters left: 2 (212 enodes) 42.972 * * [simplify]: iters left: 1 (296 enodes) 43.084 * * [simplify]: Extracting #0: cost 1 inf + 0 43.084 * * [simplify]: Extracting #1: cost 3 inf + 0 43.084 * * [simplify]: Extracting #2: cost 5 inf + 0 43.084 * * [simplify]: Extracting #3: cost 9 inf + 0 43.084 * * [simplify]: Extracting #4: cost 48 inf + 0 43.084 * * [simplify]: Extracting #5: cost 97 inf + 428 43.085 * * [simplify]: Extracting #6: cost 66 inf + 7978 43.089 * * [simplify]: Extracting #7: cost 15 inf + 28282 43.093 * * [simplify]: Extracting #8: cost 0 inf + 36598 43.097 * * [simplify]: Extracting #9: cost 0 inf + 36518 43.104 * [simplify]: Simplified to (* (cbrt (* (sin lambda2) (sin lambda1))) (cbrt (* (sin lambda2) (sin lambda1)))) 43.104 * [simplify]: Simplified (2 2 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (* (cbrt (* (sin lambda2) (sin lambda1))) (cbrt (* (sin lambda2) (sin lambda1)))) (cbrt (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))))) (cos phi2))))))) 43.104 * [simplify]: Simplifying (cbrt (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))) 43.105 * * [simplify]: iters left: 6 (9 enodes) 43.108 * * [simplify]: iters left: 5 (38 enodes) 43.122 * * [simplify]: iters left: 4 (78 enodes) 43.157 * * [simplify]: iters left: 3 (149 enodes) 43.215 * * [simplify]: iters left: 2 (186 enodes) 43.260 * * [simplify]: iters left: 1 (259 enodes) 43.373 * * [simplify]: Extracting #0: cost 1 inf + 0 43.373 * * [simplify]: Extracting #1: cost 3 inf + 0 43.373 * * [simplify]: Extracting #2: cost 7 inf + 0 43.373 * * [simplify]: Extracting #3: cost 46 inf + 0 43.373 * * [simplify]: Extracting #4: cost 97 inf + 226 43.375 * * [simplify]: Extracting #5: cost 64 inf + 7798 43.378 * * [simplify]: Extracting #6: cost 11 inf + 29741 43.382 * * [simplify]: Extracting #7: cost 0 inf + 35492 43.386 * [simplify]: Simplified to (cbrt (* (sin lambda2) (sin lambda1))) 43.386 * [simplify]: Simplified (2 2 1 2 2 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (* (cbrt (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))) (cbrt (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2)))))) (cbrt (* (sin lambda2) (sin lambda1))))) (cos phi2))))))) 43.387 * * * * [progress]: [ 14 / 97 ] simplifiying candidate # 43.387 * [simplify]: Simplifying (* (* (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2)))) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))) 43.387 * * [simplify]: iters left: 6 (10 enodes) 43.389 * * [simplify]: iters left: 5 (42 enodes) 43.396 * * [simplify]: iters left: 4 (83 enodes) 43.426 * * [simplify]: iters left: 3 (160 enodes) 43.471 * * [simplify]: iters left: 2 (207 enodes) 43.533 * * [simplify]: iters left: 1 (281 enodes) 43.630 * * [simplify]: Extracting #0: cost 1 inf + 0 43.631 * * [simplify]: Extracting #1: cost 39 inf + 0 43.631 * * [simplify]: Extracting #2: cost 100 inf + 1 43.632 * * [simplify]: Extracting #3: cost 88 inf + 1440 43.637 * * [simplify]: Extracting #4: cost 29 inf + 22824 43.645 * * [simplify]: Extracting #5: cost 1 inf + 35148 43.653 * * [simplify]: Extracting #6: cost 0 inf + 35852 43.661 * [simplify]: Simplified to (* (* (sin lambda2) (sin lambda1)) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))) 43.661 * [simplify]: Simplified (2 2 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (sin lambda2) (sin lambda1)) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))))) (cos phi2))))))) 43.661 * * * * [progress]: [ 15 / 97 ] simplifiying candidate # 43.661 * * * * [progress]: [ 16 / 97 ] simplifiying candidate # 43.662 * [simplify]: Simplifying (sqrt (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))) 43.662 * * [simplify]: iters left: 6 (9 enodes) 43.666 * * [simplify]: iters left: 5 (38 enodes) 43.678 * * [simplify]: iters left: 4 (78 enodes) 43.709 * * [simplify]: iters left: 3 (149 enodes) 43.772 * * [simplify]: iters left: 2 (186 enodes) 43.810 * * [simplify]: iters left: 1 (259 enodes) 43.920 * * [simplify]: Extracting #0: cost 1 inf + 0 43.920 * * [simplify]: Extracting #1: cost 3 inf + 0 43.920 * * [simplify]: Extracting #2: cost 7 inf + 0 43.921 * * [simplify]: Extracting #3: cost 46 inf + 0 43.921 * * [simplify]: Extracting #4: cost 97 inf + 226 43.924 * * [simplify]: Extracting #5: cost 64 inf + 7758 43.931 * * [simplify]: Extracting #6: cost 11 inf + 29661 43.935 * * [simplify]: Extracting #7: cost 0 inf + 35412 43.940 * [simplify]: Simplified to (sqrt (* (sin lambda2) (sin lambda1))) 43.940 * [simplify]: Simplified (2 2 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sqrt (* (sin lambda2) (sin lambda1))) (sqrt (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))))) (cos phi2))))))) 43.940 * [simplify]: Simplifying (sqrt (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))) 43.940 * * [simplify]: iters left: 6 (9 enodes) 43.942 * * [simplify]: iters left: 5 (38 enodes) 43.949 * * [simplify]: iters left: 4 (78 enodes) 43.964 * * [simplify]: iters left: 3 (149 enodes) 44.007 * * [simplify]: iters left: 2 (186 enodes) 44.078 * * [simplify]: iters left: 1 (259 enodes) 44.148 * * [simplify]: Extracting #0: cost 1 inf + 0 44.148 * * [simplify]: Extracting #1: cost 3 inf + 0 44.148 * * [simplify]: Extracting #2: cost 7 inf + 0 44.148 * * [simplify]: Extracting #3: cost 46 inf + 0 44.149 * * [simplify]: Extracting #4: cost 97 inf + 226 44.151 * * [simplify]: Extracting #5: cost 64 inf + 7758 44.156 * * [simplify]: Extracting #6: cost 11 inf + 29661 44.160 * * [simplify]: Extracting #7: cost 0 inf + 35412 44.165 * [simplify]: Simplified to (sqrt (* (sin lambda2) (sin lambda1))) 44.165 * [simplify]: Simplified (2 2 1 2 2 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sqrt (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))) (sqrt (* (sin lambda2) (sin lambda1))))) (cos phi2))))))) 44.165 * * * * [progress]: [ 17 / 97 ] simplifiying candidate # 44.165 * * * * [progress]: [ 18 / 97 ] simplifiying candidate #real (real->posit16 (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))))) (cos phi2)))))))> 44.165 * [simplify]: Simplifying (real->posit16 (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))) 44.165 * * [simplify]: iters left: 6 (9 enodes) 44.167 * * [simplify]: iters left: 5 (35 enodes) 44.173 * * [simplify]: iters left: 4 (75 enodes) 44.197 * * [simplify]: iters left: 3 (155 enodes) 44.248 * * [simplify]: iters left: 2 (232 enodes) 44.341 * * [simplify]: iters left: 1 (328 enodes) 44.464 * * [simplify]: Extracting #0: cost 1 inf + 0 44.464 * * [simplify]: Extracting #1: cost 2 inf + 0 44.464 * * [simplify]: Extracting #2: cost 5 inf + 0 44.465 * * [simplify]: Extracting #3: cost 44 inf + 0 44.465 * * [simplify]: Extracting #4: cost 95 inf + 498 44.468 * * [simplify]: Extracting #5: cost 69 inf + 5262 44.473 * * [simplify]: Extracting #6: cost 27 inf + 21516 44.482 * * [simplify]: Extracting #7: cost 2 inf + 33922 44.494 * * [simplify]: Extracting #8: cost 0 inf + 34999 44.503 * [simplify]: Simplified to (real->posit16 (* (sin lambda2) (sin lambda1))) 44.503 * [simplify]: Simplified (2 2 1 2 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (posit16->real (real->posit16 (* (sin lambda2) (sin lambda1))))) (cos phi2))))))) 44.503 * * * * [progress]: [ 19 / 97 ] simplifiying candidate # 44.504 * [simplify]: Simplifying (/ PI 2) 44.504 * * [simplify]: iters left: 2 (3 enodes) 44.506 * * [simplify]: iters left: 1 (9 enodes) 44.509 * * [simplify]: Extracting #0: cost 1 inf + 0 44.509 * * [simplify]: Extracting #1: cost 4 inf + 0 44.509 * * [simplify]: Extracting #2: cost 2 inf + 2 44.509 * * [simplify]: Extracting #3: cost 0 inf + 86 44.509 * [simplify]: Simplified to (/ PI 2) 44.509 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))) (cos phi2)))))))) 44.510 * [simplify]: Simplifying (asin (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))) (cos phi2))))) 44.510 * * [simplify]: iters left: 6 (23 enodes) 44.519 * * [simplify]: iters left: 5 (88 enodes) 44.547 * * [simplify]: iters left: 4 (152 enodes) 44.606 * * [simplify]: iters left: 3 (299 enodes) 44.702 * * [simplify]: Extracting #0: cost 1 inf + 0 44.702 * * [simplify]: Extracting #1: cost 3 inf + 0 44.702 * * [simplify]: Extracting #2: cost 12 inf + 0 44.702 * * [simplify]: Extracting #3: cost 74 inf + 0 44.703 * * [simplify]: Extracting #4: cost 109 inf + 0 44.704 * * [simplify]: Extracting #5: cost 112 inf + 654 44.708 * * [simplify]: Extracting #6: cost 71 inf + 13444 44.719 * * [simplify]: Extracting #7: cost 12 inf + 35511 44.735 * * [simplify]: Extracting #8: cost 1 inf + 39663 44.748 * * [simplify]: Extracting #9: cost 0 inf + 40036 44.756 * [simplify]: Simplified to (asin (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))) 44.756 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (/ PI 2) (asin (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))) 44.757 * * * * [progress]: [ 20 / 97 ] simplifiying candidate # 44.757 * * * * [progress]: [ 21 / 97 ] simplifiying candidate # 44.757 * [simplify]: Simplifying (log (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))) (cos phi2)))))) 44.757 * * [simplify]: iters left: 6 (24 enodes) 44.762 * * [simplify]: iters left: 5 (91 enodes) 44.775 * * [simplify]: iters left: 4 (155 enodes) 44.817 * * [simplify]: iters left: 3 (320 enodes) 44.934 * * [simplify]: Extracting #0: cost 1 inf + 0 44.934 * * [simplify]: Extracting #1: cost 3 inf + 0 44.934 * * [simplify]: Extracting #2: cost 5 inf + 0 44.934 * * [simplify]: Extracting #3: cost 14 inf + 0 44.935 * * [simplify]: Extracting #4: cost 80 inf + 0 44.935 * * [simplify]: Extracting #5: cost 115 inf + 0 44.936 * * [simplify]: Extracting #6: cost 114 inf + 1140 44.937 * * [simplify]: Extracting #7: cost 98 inf + 7008 44.942 * * [simplify]: Extracting #8: cost 18 inf + 35444 44.949 * * [simplify]: Extracting #9: cost 2 inf + 41607 44.956 * * [simplify]: Extracting #10: cost 0 inf + 42744 44.964 * * [simplify]: Extracting #11: cost 0 inf + 42664 44.978 * [simplify]: Simplified to (log (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) 44.978 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (exp (log (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))))) 44.978 * * * * [progress]: [ 22 / 97 ] simplifiying candidate # 44.978 * [simplify]: Simplifying (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))) (cos phi2)))))) 44.979 * * [simplify]: iters left: 6 (24 enodes) 44.989 * * [simplify]: iters left: 5 (91 enodes) 45.008 * * [simplify]: iters left: 4 (155 enodes) 45.053 * * [simplify]: iters left: 3 (320 enodes) 45.170 * * [simplify]: Extracting #0: cost 1 inf + 0 45.170 * * [simplify]: Extracting #1: cost 3 inf + 0 45.170 * * [simplify]: Extracting #2: cost 5 inf + 0 45.170 * * [simplify]: Extracting #3: cost 14 inf + 0 45.171 * * [simplify]: Extracting #4: cost 80 inf + 0 45.171 * * [simplify]: Extracting #5: cost 115 inf + 0 45.172 * * [simplify]: Extracting #6: cost 114 inf + 1140 45.174 * * [simplify]: Extracting #7: cost 98 inf + 7008 45.185 * * [simplify]: Extracting #8: cost 18 inf + 35444 45.198 * * [simplify]: Extracting #9: cost 2 inf + 41607 45.213 * * [simplify]: Extracting #10: cost 0 inf + 42744 45.227 * * [simplify]: Extracting #11: cost 0 inf + 42664 45.244 * [simplify]: Simplified to (exp (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) 45.244 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (exp (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))))) 45.244 * * * * [progress]: [ 23 / 97 ] simplifiying candidate # 45.245 * [simplify]: Simplifying (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))) (cos phi2)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 45.245 * * [simplify]: iters left: 6 (25 enodes) 45.256 * * [simplify]: iters left: 5 (94 enodes) 45.277 * * [simplify]: iters left: 4 (158 enodes) 45.317 * * [simplify]: iters left: 3 (311 enodes) 45.422 * * [simplify]: Extracting #0: cost 1 inf + 0 45.422 * * [simplify]: Extracting #1: cost 3 inf + 0 45.422 * * [simplify]: Extracting #2: cost 5 inf + 0 45.422 * * [simplify]: Extracting #3: cost 7 inf + 0 45.422 * * [simplify]: Extracting #4: cost 16 inf + 0 45.422 * * [simplify]: Extracting #5: cost 82 inf + 0 45.423 * * [simplify]: Extracting #6: cost 117 inf + 0 45.423 * * [simplify]: Extracting #7: cost 118 inf + 856 45.426 * * [simplify]: Extracting #8: cost 61 inf + 21218 45.434 * * [simplify]: Extracting #9: cost 8 inf + 42200 45.442 * * [simplify]: Extracting #10: cost 1 inf + 44055 45.455 * * [simplify]: Extracting #11: cost 0 inf + 44268 45.469 * * [simplify]: Extracting #12: cost 0 inf + 44228 45.483 * [simplify]: Simplified to (* (cbrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) 45.483 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (* (cbrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))))) 45.484 * [simplify]: Simplifying (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))) (cos phi2)))))) 45.484 * * [simplify]: iters left: 6 (24 enodes) 45.495 * * [simplify]: iters left: 5 (91 enodes) 45.523 * * [simplify]: iters left: 4 (155 enodes) 45.559 * * [simplify]: iters left: 3 (320 enodes) 45.702 * * [simplify]: Extracting #0: cost 1 inf + 0 45.702 * * [simplify]: Extracting #1: cost 3 inf + 0 45.702 * * [simplify]: Extracting #2: cost 5 inf + 0 45.702 * * [simplify]: Extracting #3: cost 14 inf + 0 45.703 * * [simplify]: Extracting #4: cost 80 inf + 0 45.703 * * [simplify]: Extracting #5: cost 115 inf + 0 45.704 * * [simplify]: Extracting #6: cost 114 inf + 1140 45.706 * * [simplify]: Extracting #7: cost 98 inf + 7008 45.716 * * [simplify]: Extracting #8: cost 18 inf + 35444 45.730 * * [simplify]: Extracting #9: cost 2 inf + 41617 45.744 * * [simplify]: Extracting #10: cost 0 inf + 42764 45.758 * * [simplify]: Extracting #11: cost 0 inf + 42684 45.772 * [simplify]: Simplified to (cbrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) 45.772 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))) (cos phi2)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) (cbrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))))) 45.772 * * * * [progress]: [ 24 / 97 ] simplifiying candidate # 45.772 * [simplify]: Simplifying (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))) (cos phi2))))) (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))) (cos phi2)))))) (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))) (cos phi2)))))) 45.773 * * [simplify]: iters left: 6 (25 enodes) 45.778 * * [simplify]: iters left: 5 (95 enodes) 45.796 * * [simplify]: iters left: 4 (160 enodes) 45.836 * * [simplify]: iters left: 3 (320 enodes) 45.951 * * [simplify]: Extracting #0: cost 1 inf + 0 45.951 * * [simplify]: Extracting #1: cost 6 inf + 0 45.951 * * [simplify]: Extracting #2: cost 11 inf + 1 45.951 * * [simplify]: Extracting #3: cost 20 inf + 2 45.951 * * [simplify]: Extracting #4: cost 85 inf + 3 45.951 * * [simplify]: Extracting #5: cost 120 inf + 3 45.952 * * [simplify]: Extracting #6: cost 121 inf + 697 45.953 * * [simplify]: Extracting #7: cost 90 inf + 11995 45.959 * * [simplify]: Extracting #8: cost 15 inf + 39058 45.967 * * [simplify]: Extracting #9: cost 1 inf + 46831 45.977 * * [simplify]: Extracting #10: cost 0 inf + 47394 45.987 * * [simplify]: Extracting #11: cost 0 inf + 47223 45.994 * [simplify]: Simplified to (* (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))) (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) 45.994 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (cbrt (* (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))) (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))))) 45.995 * * * * [progress]: [ 25 / 97 ] simplifiying candidate # 45.995 * [simplify]: Simplifying (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))) (cos phi2)))))) 45.995 * * [simplify]: iters left: 6 (24 enodes) 46.000 * * [simplify]: iters left: 5 (91 enodes) 46.013 * * [simplify]: iters left: 4 (155 enodes) 46.057 * * [simplify]: iters left: 3 (320 enodes) 46.159 * * [simplify]: Extracting #0: cost 1 inf + 0 46.160 * * [simplify]: Extracting #1: cost 3 inf + 0 46.160 * * [simplify]: Extracting #2: cost 5 inf + 0 46.160 * * [simplify]: Extracting #3: cost 14 inf + 0 46.160 * * [simplify]: Extracting #4: cost 80 inf + 0 46.160 * * [simplify]: Extracting #5: cost 115 inf + 0 46.161 * * [simplify]: Extracting #6: cost 114 inf + 1140 46.162 * * [simplify]: Extracting #7: cost 98 inf + 7008 46.167 * * [simplify]: Extracting #8: cost 18 inf + 35444 46.174 * * [simplify]: Extracting #9: cost 2 inf + 41577 46.181 * * [simplify]: Extracting #10: cost 0 inf + 42684 46.189 * * [simplify]: Extracting #11: cost 0 inf + 42604 46.203 * [simplify]: Simplified to (sqrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) 46.204 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))))) 46.204 * [simplify]: Simplifying (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))) (cos phi2)))))) 46.205 * * [simplify]: iters left: 6 (24 enodes) 46.215 * * [simplify]: iters left: 5 (91 enodes) 46.243 * * [simplify]: iters left: 4 (155 enodes) 46.295 * * [simplify]: iters left: 3 (320 enodes) 46.402 * * [simplify]: Extracting #0: cost 1 inf + 0 46.403 * * [simplify]: Extracting #1: cost 3 inf + 0 46.403 * * [simplify]: Extracting #2: cost 5 inf + 0 46.403 * * [simplify]: Extracting #3: cost 14 inf + 0 46.403 * * [simplify]: Extracting #4: cost 80 inf + 0 46.403 * * [simplify]: Extracting #5: cost 115 inf + 0 46.404 * * [simplify]: Extracting #6: cost 114 inf + 1140 46.404 * * [simplify]: Extracting #7: cost 98 inf + 7008 46.412 * * [simplify]: Extracting #8: cost 18 inf + 35444 46.426 * * [simplify]: Extracting #9: cost 2 inf + 41577 46.440 * * [simplify]: Extracting #10: cost 0 inf + 42684 46.454 * * [simplify]: Extracting #11: cost 0 inf + 42604 46.471 * [simplify]: Simplified to (sqrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) 46.472 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))) (cos phi2)))))) (sqrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))))) 46.472 * * * * [progress]: [ 26 / 97 ] simplifiying candidate # 46.472 * * * * [progress]: [ 27 / 97 ] simplifiying candidate #real (real->posit16 (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))) (cos phi2)))))))))> 46.472 * [simplify]: Simplifying (real->posit16 (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))) (cos phi2)))))) 46.473 * * [simplify]: iters left: 6 (24 enodes) 46.483 * * [simplify]: iters left: 5 (88 enodes) 46.509 * * [simplify]: iters left: 4 (152 enodes) 46.554 * * [simplify]: iters left: 3 (307 enodes) 46.676 * * [simplify]: Extracting #0: cost 1 inf + 0 46.676 * * [simplify]: Extracting #1: cost 2 inf + 0 46.676 * * [simplify]: Extracting #2: cost 3 inf + 0 46.676 * * [simplify]: Extracting #3: cost 12 inf + 0 46.676 * * [simplify]: Extracting #4: cost 78 inf + 0 46.677 * * [simplify]: Extracting #5: cost 113 inf + 0 46.678 * * [simplify]: Extracting #6: cost 115 inf + 816 46.681 * * [simplify]: Extracting #7: cost 79 inf + 11997 46.694 * * [simplify]: Extracting #8: cost 7 inf + 38530 46.710 * * [simplify]: Extracting #9: cost 1 inf + 40443 46.724 * * [simplify]: Extracting #10: cost 0 inf + 40816 46.738 * [simplify]: Simplified to (real->posit16 (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) 46.738 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (posit16->real (real->posit16 (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))))) 46.738 * * * * [progress]: [ 28 / 97 ] simplifiying candidate # 46.738 * [simplify]: Simplifying (+ 1 1) 46.738 * * [simplify]: iters left: 2 (2 enodes) 46.741 * * [simplify]: iters left: 1 (9 enodes) 46.744 * * [simplify]: Extracting #0: cost 1 inf + 0 46.744 * * [simplify]: Extracting #1: cost 0 inf + 1 46.744 * [simplify]: Simplified to 2 46.744 * [simplify]: Simplified (2 2 1 2 2 1 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (pow (* (sin lambda1) (sin lambda2)) 2) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 46.745 * * * * [progress]: [ 29 / 97 ] simplifiying candidate # 46.745 * [simplify]: Simplifying (+ 1 1) 46.745 * * [simplify]: iters left: 2 (2 enodes) 46.747 * * [simplify]: iters left: 1 (9 enodes) 46.750 * * [simplify]: Extracting #0: cost 1 inf + 0 46.750 * * [simplify]: Extracting #1: cost 0 inf + 1 46.750 * [simplify]: Simplified to 2 46.750 * [simplify]: Simplified (2 2 1 2 2 1 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (pow (* (sin lambda1) (sin lambda2)) 2) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 46.750 * * * * [progress]: [ 30 / 97 ] simplifiying candidate # 46.751 * [simplify]: Simplifying (+ 1 1) 46.751 * * [simplify]: iters left: 2 (2 enodes) 46.753 * * [simplify]: iters left: 1 (9 enodes) 46.756 * * [simplify]: Extracting #0: cost 1 inf + 0 46.756 * * [simplify]: Extracting #1: cost 0 inf + 1 46.756 * [simplify]: Simplified to 2 46.756 * [simplify]: Simplified (2 2 1 2 2 1 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (pow (* (sin lambda1) (sin lambda2)) 2) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 46.756 * * * * [progress]: [ 31 / 97 ] simplifiying candidate # 46.756 * [simplify]: Simplifying (+ 1 1) 46.756 * * [simplify]: iters left: 2 (2 enodes) 46.758 * * [simplify]: iters left: 1 (9 enodes) 46.761 * * [simplify]: Extracting #0: cost 1 inf + 0 46.761 * * [simplify]: Extracting #1: cost 0 inf + 1 46.761 * [simplify]: Simplified to 2 46.761 * [simplify]: Simplified (2 2 1 2 2 1 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (pow (* (sin lambda1) (sin lambda2)) 2) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 46.762 * * * * [progress]: [ 32 / 97 ] simplifiying candidate # 46.762 * [simplify]: Simplifying (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) 46.762 * * [simplify]: iters left: 5 (6 enodes) 46.765 * * [simplify]: iters left: 4 (26 enodes) 46.772 * * [simplify]: iters left: 3 (45 enodes) 46.785 * * [simplify]: Extracting #0: cost 1 inf + 0 46.785 * * [simplify]: Extracting #1: cost 9 inf + 0 46.786 * * [simplify]: Extracting #2: cost 18 inf + 0 46.786 * * [simplify]: Extracting #3: cost 13 inf + 265 46.786 * * [simplify]: Extracting #4: cost 9 inf + 650 46.787 * * [simplify]: Extracting #5: cost 2 inf + 1822 46.788 * * [simplify]: Extracting #6: cost 0 inf + 2186 46.788 * [simplify]: Simplified to (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) 46.789 * [simplify]: Simplified (2 2 1 2 2 1 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (pow (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) 1) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 46.789 * * * * [progress]: [ 33 / 97 ] simplifiying candidate # 46.789 * [simplify]: Simplifying (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) 46.789 * * [simplify]: iters left: 5 (6 enodes) 46.792 * * [simplify]: iters left: 4 (26 enodes) 46.800 * * [simplify]: iters left: 3 (45 enodes) 46.813 * * [simplify]: Extracting #0: cost 1 inf + 0 46.813 * * [simplify]: Extracting #1: cost 9 inf + 0 46.813 * * [simplify]: Extracting #2: cost 18 inf + 0 46.813 * * [simplify]: Extracting #3: cost 13 inf + 265 46.813 * * [simplify]: Extracting #4: cost 9 inf + 650 46.814 * * [simplify]: Extracting #5: cost 2 inf + 1822 46.815 * * [simplify]: Extracting #6: cost 0 inf + 2186 46.816 * [simplify]: Simplified to (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) 46.816 * [simplify]: Simplified (2 2 1 2 2 1 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (pow (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) 1) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 46.816 * * * * [progress]: [ 34 / 97 ] simplifiying candidate # 46.816 * [simplify]: Simplifying (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) 46.816 * * [simplify]: iters left: 5 (6 enodes) 46.819 * * [simplify]: iters left: 4 (26 enodes) 46.827 * * [simplify]: iters left: 3 (45 enodes) 46.840 * * [simplify]: Extracting #0: cost 1 inf + 0 46.840 * * [simplify]: Extracting #1: cost 9 inf + 0 46.840 * * [simplify]: Extracting #2: cost 18 inf + 0 46.841 * * [simplify]: Extracting #3: cost 13 inf + 265 46.841 * * [simplify]: Extracting #4: cost 9 inf + 650 46.841 * * [simplify]: Extracting #5: cost 2 inf + 1822 46.842 * * [simplify]: Extracting #6: cost 0 inf + 2186 46.846 * [simplify]: Simplified to (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) 46.846 * [simplify]: Simplified (2 2 1 2 2 1 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (pow (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) 1) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 46.846 * * * * [progress]: [ 35 / 97 ] simplifiying candidate # 46.846 * [simplify]: Simplifying (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) 46.847 * * [simplify]: iters left: 5 (6 enodes) 46.850 * * [simplify]: iters left: 4 (26 enodes) 46.858 * * [simplify]: iters left: 3 (45 enodes) 46.871 * * [simplify]: Extracting #0: cost 1 inf + 0 46.871 * * [simplify]: Extracting #1: cost 9 inf + 0 46.871 * * [simplify]: Extracting #2: cost 18 inf + 0 46.871 * * [simplify]: Extracting #3: cost 13 inf + 265 46.871 * * [simplify]: Extracting #4: cost 9 inf + 650 46.872 * * [simplify]: Extracting #5: cost 2 inf + 1822 46.873 * * [simplify]: Extracting #6: cost 0 inf + 2186 46.874 * [simplify]: Simplified to (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) 46.874 * [simplify]: Simplified (2 2 1 2 2 1 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (pow (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) 1) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 46.874 * * * * [progress]: [ 36 / 97 ] simplifiying candidate # 46.874 * * * * [progress]: [ 37 / 97 ] simplifiying candidate # 46.875 * [simplify]: Simplifying (+ 1 1) 46.875 * * [simplify]: iters left: 2 (2 enodes) 46.877 * * [simplify]: iters left: 1 (9 enodes) 46.880 * * [simplify]: Extracting #0: cost 1 inf + 0 46.880 * * [simplify]: Extracting #1: cost 0 inf + 1 46.880 * [simplify]: Simplified to 2 46.880 * [simplify]: Simplified (2 2 1 2 2 1 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (pow (* (sin lambda1) (sin lambda2)) 2) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 46.881 * * * * [progress]: [ 38 / 97 ] simplifiying candidate # 46.881 * [simplify]: Simplifying (+ 1 1) 46.881 * * [simplify]: iters left: 2 (2 enodes) 46.883 * * [simplify]: iters left: 1 (9 enodes) 46.886 * * [simplify]: Extracting #0: cost 1 inf + 0 46.886 * * [simplify]: Extracting #1: cost 0 inf + 1 46.886 * [simplify]: Simplified to 2 46.886 * [simplify]: Simplified (2 2 1 2 2 1 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (pow (* (sin lambda1) (sin lambda2)) 2) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 46.886 * * * * [progress]: [ 39 / 97 ] simplifiying candidate # 46.887 * * * * [progress]: [ 40 / 97 ] simplifiying candidate # 46.887 * [simplify]: Simplifying (+ (+ (log (sin lambda1)) (log (sin lambda2))) (+ (log (sin lambda1)) (log (sin lambda2)))) 46.887 * * [simplify]: iters left: 6 (8 enodes) 46.890 * * [simplify]: iters left: 5 (29 enodes) 46.898 * * [simplify]: iters left: 4 (41 enodes) 46.909 * * [simplify]: iters left: 3 (49 enodes) 46.922 * * [simplify]: iters left: 2 (50 enodes) 46.934 * * [simplify]: Extracting #0: cost 1 inf + 0 46.934 * * [simplify]: Extracting #1: cost 9 inf + 0 46.934 * * [simplify]: Extracting #2: cost 18 inf + 0 46.934 * * [simplify]: Extracting #3: cost 22 inf + 0 46.934 * * [simplify]: Extracting #4: cost 20 inf + 2 46.934 * * [simplify]: Extracting #5: cost 16 inf + 316 46.935 * * [simplify]: Extracting #6: cost 0 inf + 4110 46.936 * [simplify]: Simplified to (+ (+ (log (sin lambda2)) (log (sin lambda1))) (+ (log (sin lambda2)) (log (sin lambda1)))) 46.936 * [simplify]: Simplified (2 2 1 2 2 1 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (exp (+ (+ (log (sin lambda2)) (log (sin lambda1))) (+ (log (sin lambda2)) (log (sin lambda1))))) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 46.937 * * * * [progress]: [ 41 / 97 ] simplifiying candidate # 46.937 * [simplify]: Simplifying (+ (+ (log (sin lambda1)) (log (sin lambda2))) (log (* (sin lambda1) (sin lambda2)))) 46.937 * * [simplify]: iters left: 6 (10 enodes) 46.940 * * [simplify]: iters left: 5 (33 enodes) 46.944 * * [simplify]: iters left: 4 (47 enodes) 46.950 * * [simplify]: iters left: 3 (57 enodes) 46.957 * * [simplify]: iters left: 2 (61 enodes) 46.963 * * [simplify]: Extracting #0: cost 1 inf + 0 46.963 * * [simplify]: Extracting #1: cost 9 inf + 0 46.963 * * [simplify]: Extracting #2: cost 19 inf + 0 46.963 * * [simplify]: Extracting #3: cost 24 inf + 0 46.963 * * [simplify]: Extracting #4: cost 19 inf + 255 46.964 * * [simplify]: Extracting #5: cost 7 inf + 2352 46.966 * * [simplify]: Extracting #6: cost 0 inf + 4154 46.967 * [simplify]: Simplified to (+ (log (* (sin lambda1) (sin lambda2))) (log (* (sin lambda1) (sin lambda2)))) 46.967 * [simplify]: Simplified (2 2 1 2 2 1 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (exp (+ (log (* (sin lambda1) (sin lambda2))) (log (* (sin lambda1) (sin lambda2))))) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 46.967 * * * * [progress]: [ 42 / 97 ] simplifiying candidate # 46.967 * [simplify]: Simplifying (+ (log (* (sin lambda1) (sin lambda2))) (+ (log (sin lambda1)) (log (sin lambda2)))) 46.967 * * [simplify]: iters left: 6 (10 enodes) 46.971 * * [simplify]: iters left: 5 (33 enodes) 46.980 * * [simplify]: iters left: 4 (43 enodes) 46.992 * * [simplify]: iters left: 3 (52 enodes) 47.005 * * [simplify]: iters left: 2 (55 enodes) 47.018 * * [simplify]: Extracting #0: cost 1 inf + 0 47.019 * * [simplify]: Extracting #1: cost 9 inf + 0 47.019 * * [simplify]: Extracting #2: cost 19 inf + 0 47.019 * * [simplify]: Extracting #3: cost 24 inf + 0 47.019 * * [simplify]: Extracting #4: cost 17 inf + 447 47.020 * * [simplify]: Extracting #5: cost 7 inf + 2291 47.021 * * [simplify]: Extracting #6: cost 0 inf + 4154 47.022 * [simplify]: Simplified to (+ (log (* (sin lambda2) (sin lambda1))) (log (* (sin lambda2) (sin lambda1)))) 47.022 * [simplify]: Simplified (2 2 1 2 2 1 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (exp (+ (log (* (sin lambda2) (sin lambda1))) (log (* (sin lambda2) (sin lambda1))))) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 47.022 * * * * [progress]: [ 43 / 97 ] simplifiying candidate # 47.023 * [simplify]: Simplifying (+ (log (* (sin lambda1) (sin lambda2))) (log (* (sin lambda1) (sin lambda2)))) 47.023 * * [simplify]: iters left: 6 (7 enodes) 47.024 * * [simplify]: iters left: 5 (25 enodes) 47.028 * * [simplify]: iters left: 4 (34 enodes) 47.032 * * [simplify]: iters left: 3 (46 enodes) 47.039 * * [simplify]: iters left: 2 (54 enodes) 47.045 * * [simplify]: iters left: 1 (55 enodes) 47.052 * * [simplify]: Extracting #0: cost 1 inf + 0 47.052 * * [simplify]: Extracting #1: cost 9 inf + 0 47.053 * * [simplify]: Extracting #2: cost 19 inf + 0 47.053 * * [simplify]: Extracting #3: cost 24 inf + 0 47.053 * * [simplify]: Extracting #4: cost 19 inf + 255 47.053 * * [simplify]: Extracting #5: cost 7 inf + 2181 47.055 * * [simplify]: Extracting #6: cost 1 inf + 3812 47.056 * * [simplify]: Extracting #7: cost 0 inf + 4154 47.057 * [simplify]: Simplified to (+ (log (* (sin lambda2) (sin lambda1))) (log (* (sin lambda2) (sin lambda1)))) 47.057 * [simplify]: Simplified (2 2 1 2 2 1 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (exp (+ (log (* (sin lambda2) (sin lambda1))) (log (* (sin lambda2) (sin lambda1))))) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 47.058 * * * * [progress]: [ 44 / 97 ] simplifiying candidate # 47.058 * [simplify]: Simplifying (log (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) 47.058 * * [simplify]: iters left: 6 (7 enodes) 47.061 * * [simplify]: iters left: 5 (31 enodes) 47.072 * * [simplify]: iters left: 4 (63 enodes) 47.092 * * [simplify]: iters left: 3 (86 enodes) 47.113 * * [simplify]: iters left: 2 (89 enodes) 47.132 * * [simplify]: Extracting #0: cost 1 inf + 0 47.132 * * [simplify]: Extracting #1: cost 10 inf + 0 47.132 * * [simplify]: Extracting #2: cost 25 inf + 0 47.133 * * [simplify]: Extracting #3: cost 34 inf + 0 47.133 * * [simplify]: Extracting #4: cost 27 inf + 417 47.134 * * [simplify]: Extracting #5: cost 11 inf + 3030 47.135 * * [simplify]: Extracting #6: cost 1 inf + 5258 47.136 * * [simplify]: Extracting #7: cost 0 inf + 5490 47.137 * [simplify]: Simplified to (log (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))) 47.137 * [simplify]: Simplified (2 2 1 2 2 1 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (exp (log (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))))) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 47.137 * * * * [progress]: [ 45 / 97 ] simplifiying candidate # 47.138 * [simplify]: Simplifying (exp (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) 47.138 * * [simplify]: iters left: 6 (7 enodes) 47.139 * * [simplify]: iters left: 5 (31 enodes) 47.144 * * [simplify]: iters left: 4 (65 enodes) 47.155 * * [simplify]: iters left: 3 (107 enodes) 47.172 * * [simplify]: iters left: 2 (197 enodes) 47.219 * * [simplify]: iters left: 1 (420 enodes) 47.386 * * [simplify]: Extracting #0: cost 1 inf + 0 47.386 * * [simplify]: Extracting #1: cost 55 inf + 0 47.387 * * [simplify]: Extracting #2: cost 207 inf + 1 47.389 * * [simplify]: Extracting #3: cost 275 inf + 6888 47.396 * * [simplify]: Extracting #4: cost 130 inf + 56704 47.408 * * [simplify]: Extracting #5: cost 25 inf + 105179 47.427 * * [simplify]: Extracting #6: cost 0 inf + 124664 47.443 * * [simplify]: Extracting #7: cost 0 inf + 123445 47.462 * [simplify]: Simplified to (exp (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))) 47.462 * [simplify]: Simplified (2 2 1 2 2 1 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (log (exp (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))))) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 47.462 * * * * [progress]: [ 46 / 97 ] simplifiying candidate # 47.462 * [simplify]: Simplifying (* (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2)))) 47.462 * * [simplify]: iters left: 6 (10 enodes) 47.465 * * [simplify]: iters left: 5 (44 enodes) 47.474 * * [simplify]: iters left: 4 (146 enodes) 47.562 * * [simplify]: iters left: 3 (494 enodes) 48.136 * * [simplify]: Extracting #0: cost 1 inf + 0 48.136 * * [simplify]: Extracting #1: cost 75 inf + 0 48.137 * * [simplify]: Extracting #2: cost 276 inf + 0 48.141 * * [simplify]: Extracting #3: cost 222 inf + 12502 48.162 * * [simplify]: Extracting #4: cost 29 inf + 79662 48.202 * * [simplify]: Extracting #5: cost 0 inf + 87457 48.227 * * [simplify]: Extracting #6: cost 0 inf + 86657 48.250 * * [simplify]: Extracting #7: cost 0 inf + 86617 48.284 * [simplify]: Simplified to (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))))) 48.284 * [simplify]: Simplified (2 2 1 2 2 1 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (cbrt (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))))) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 48.284 * * * * [progress]: [ 47 / 97 ] simplifiying candidate # 48.284 * [simplify]: Simplifying (* (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2)))) 48.284 * * [simplify]: iters left: 6 (13 enodes) 48.287 * * [simplify]: iters left: 5 (60 enodes) 48.300 * * [simplify]: iters left: 4 (177 enodes) 48.408 * * [simplify]: Extracting #0: cost 1 inf + 0 48.409 * * [simplify]: Extracting #1: cost 49 inf + 0 48.409 * * [simplify]: Extracting #2: cost 146 inf + 1 48.410 * * [simplify]: Extracting #3: cost 131 inf + 1922 48.420 * * [simplify]: Extracting #4: cost 19 inf + 33900 48.431 * * [simplify]: Extracting #5: cost 0 inf + 39019 48.447 * * [simplify]: Extracting #6: cost 0 inf + 38939 48.468 * [simplify]: Simplified to (* (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))) 48.468 * [simplify]: Simplified (2 2 1 2 2 1 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (cbrt (* (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))))) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 48.468 * * * * [progress]: [ 48 / 97 ] simplifiying candidate # 48.468 * [simplify]: Simplifying (* (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2)))) 48.468 * * [simplify]: iters left: 6 (13 enodes) 48.472 * * [simplify]: iters left: 5 (60 enodes) 48.484 * * [simplify]: iters left: 4 (177 enodes) 48.593 * * [simplify]: Extracting #0: cost 1 inf + 0 48.593 * * [simplify]: Extracting #1: cost 51 inf + 0 48.594 * * [simplify]: Extracting #2: cost 166 inf + 1 48.596 * * [simplify]: Extracting #3: cost 146 inf + 3151 48.610 * * [simplify]: Extracting #4: cost 26 inf + 36695 48.632 * * [simplify]: Extracting #5: cost 0 inf + 44937 48.651 * * [simplify]: Extracting #6: cost 0 inf + 44777 48.662 * [simplify]: Simplified to (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))))) 48.663 * [simplify]: Simplified (2 2 1 2 2 1 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (cbrt (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))))) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 48.663 * * * * [progress]: [ 49 / 97 ] simplifiying candidate # 48.663 * [simplify]: Simplifying (* (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2)))) 48.663 * * [simplify]: iters left: 6 (8 enodes) 48.665 * * [simplify]: iters left: 5 (41 enodes) 48.675 * * [simplify]: iters left: 4 (137 enodes) 48.763 * * [simplify]: iters left: 3 (463 enodes) 49.246 * * [simplify]: Extracting #0: cost 1 inf + 0 49.246 * * [simplify]: Extracting #1: cost 62 inf + 0 49.247 * * [simplify]: Extracting #2: cost 232 inf + 2 49.250 * * [simplify]: Extracting #3: cost 170 inf + 16666 49.265 * * [simplify]: Extracting #4: cost 27 inf + 58287 49.293 * * [simplify]: Extracting #5: cost 0 inf + 67316 49.329 * [simplify]: Simplified to (* (* (* (sin lambda2) (sin lambda1)) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))) (* (* (sin lambda2) (sin lambda1)) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))))) 49.329 * [simplify]: Simplified (2 2 1 2 2 1 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (cbrt (* (* (* (sin lambda2) (sin lambda1)) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))) (* (* (sin lambda2) (sin lambda1)) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))))) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 49.330 * * * * [progress]: [ 50 / 97 ] simplifiying candidate # 49.330 * [simplify]: Simplifying (* (cbrt (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) 49.330 * * [simplify]: iters left: 6 (8 enodes) 49.339 * * [simplify]: iters left: 5 (32 enodes) 49.349 * * [simplify]: iters left: 4 (51 enodes) 49.365 * * [simplify]: Extracting #0: cost 1 inf + 0 49.365 * * [simplify]: Extracting #1: cost 3 inf + 0 49.365 * * [simplify]: Extracting #2: cost 5 inf + 0 49.365 * * [simplify]: Extracting #3: cost 13 inf + 0 49.365 * * [simplify]: Extracting #4: cost 22 inf + 0 49.365 * * [simplify]: Extracting #5: cost 18 inf + 164 49.365 * * [simplify]: Extracting #6: cost 13 inf + 650 49.366 * * [simplify]: Extracting #7: cost 5 inf + 1984 49.367 * * [simplify]: Extracting #8: cost 1 inf + 3072 49.368 * * [simplify]: Extracting #9: cost 0 inf + 3394 49.369 * [simplify]: Simplified to (* (cbrt (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))) (cbrt (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))))) 49.369 * [simplify]: Simplified (2 2 1 2 2 1 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (cbrt (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))) (cbrt (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))))) (cbrt (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 49.370 * [simplify]: Simplifying (cbrt (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) 49.370 * * [simplify]: iters left: 6 (7 enodes) 49.373 * * [simplify]: iters left: 5 (29 enodes) 49.383 * * [simplify]: iters left: 4 (48 enodes) 49.397 * * [simplify]: Extracting #0: cost 1 inf + 0 49.397 * * [simplify]: Extracting #1: cost 3 inf + 0 49.397 * * [simplify]: Extracting #2: cost 11 inf + 0 49.397 * * [simplify]: Extracting #3: cost 20 inf + 0 49.397 * * [simplify]: Extracting #4: cost 17 inf + 63 49.397 * * [simplify]: Extracting #5: cost 12 inf + 488 49.398 * * [simplify]: Extracting #6: cost 2 inf + 2186 49.399 * * [simplify]: Extracting #7: cost 0 inf + 2750 49.400 * [simplify]: Simplified to (cbrt (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))) 49.400 * [simplify]: Simplified (2 2 1 2 2 1 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (cbrt (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))))) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 49.400 * * * * [progress]: [ 51 / 97 ] simplifiying candidate # 49.401 * [simplify]: Simplifying (* (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) 49.401 * * [simplify]: iters left: 6 (8 enodes) 49.405 * * [simplify]: iters left: 5 (40 enodes) 49.417 * * [simplify]: iters left: 4 (136 enodes) 49.509 * * [simplify]: Extracting #0: cost 1 inf + 0 49.509 * * [simplify]: Extracting #1: cost 56 inf + 0 49.510 * * [simplify]: Extracting #2: cost 121 inf + 2 49.511 * * [simplify]: Extracting #3: cost 97 inf + 4695 49.516 * * [simplify]: Extracting #4: cost 30 inf + 22692 49.524 * * [simplify]: Extracting #5: cost 0 inf + 30898 49.532 * * [simplify]: Extracting #6: cost 0 inf + 30647 49.542 * [simplify]: Simplified to (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))))) 49.542 * [simplify]: Simplified (2 2 1 2 2 1 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (cbrt (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))))) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 49.542 * * * * [progress]: [ 52 / 97 ] simplifiying candidate # 49.543 * [simplify]: Simplifying (sqrt (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) 49.543 * * [simplify]: iters left: 6 (7 enodes) 49.546 * * [simplify]: iters left: 5 (30 enodes) 49.551 * * [simplify]: iters left: 4 (49 enodes) 49.558 * * [simplify]: iters left: 3 (50 enodes) 49.564 * * [simplify]: Extracting #0: cost 1 inf + 0 49.564 * * [simplify]: Extracting #1: cost 4 inf + 0 49.564 * * [simplify]: Extracting #2: cost 12 inf + 0 49.564 * * [simplify]: Extracting #3: cost 20 inf + 0 49.564 * * [simplify]: Extracting #4: cost 16 inf + 164 49.564 * * [simplify]: Extracting #5: cost 11 inf + 650 49.565 * * [simplify]: Extracting #6: cost 2 inf + 2186 49.565 * * [simplify]: Extracting #7: cost 0 inf + 2590 49.566 * [simplify]: Simplified to (fabs (* (sin lambda2) (sin lambda1))) 49.566 * [simplify]: Simplified (2 2 1 2 2 1 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (fabs (* (sin lambda2) (sin lambda1))) (sqrt (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 49.566 * [simplify]: Simplifying (sqrt (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) 49.566 * * [simplify]: iters left: 6 (7 enodes) 49.567 * * [simplify]: iters left: 5 (30 enodes) 49.572 * * [simplify]: iters left: 4 (49 enodes) 49.586 * * [simplify]: iters left: 3 (50 enodes) 49.599 * * [simplify]: Extracting #0: cost 1 inf + 0 49.599 * * [simplify]: Extracting #1: cost 4 inf + 0 49.599 * * [simplify]: Extracting #2: cost 12 inf + 0 49.599 * * [simplify]: Extracting #3: cost 20 inf + 0 49.599 * * [simplify]: Extracting #4: cost 16 inf + 164 49.600 * * [simplify]: Extracting #5: cost 11 inf + 650 49.600 * * [simplify]: Extracting #6: cost 2 inf + 2186 49.601 * * [simplify]: Extracting #7: cost 0 inf + 2590 49.602 * [simplify]: Simplified to (fabs (* (sin lambda2) (sin lambda1))) 49.602 * [simplify]: Simplified (2 2 1 2 2 1 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (sqrt (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (fabs (* (sin lambda2) (sin lambda1)))) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 49.603 * * * * [progress]: [ 53 / 97 ] simplifiying candidate # 49.603 * [simplify]: Simplifying (* (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))) 49.603 * * [simplify]: iters left: 6 (8 enodes) 49.607 * * [simplify]: iters left: 5 (29 enodes) 49.615 * * [simplify]: iters left: 4 (41 enodes) 49.623 * * [simplify]: iters left: 3 (67 enodes) 49.635 * * [simplify]: iters left: 2 (125 enodes) 49.654 * * [simplify]: iters left: 1 (198 enodes) 49.689 * * [simplify]: Extracting #0: cost 1 inf + 0 49.689 * * [simplify]: Extracting #1: cost 24 inf + 0 49.689 * * [simplify]: Extracting #2: cost 60 inf + 0 49.689 * * [simplify]: Extracting #3: cost 70 inf + 0 49.689 * * [simplify]: Extracting #4: cost 75 inf + 0 49.690 * * [simplify]: Extracting #5: cost 74 inf + 2 49.690 * * [simplify]: Extracting #6: cost 59 inf + 2091 49.693 * * [simplify]: Extracting #7: cost 13 inf + 14002 49.700 * * [simplify]: Extracting #8: cost 0 inf + 18208 49.708 * [simplify]: Simplified to (* (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))) (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1)))) 49.709 * [simplify]: Simplified (2 2 1 2 2 1 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (/ (* (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))) (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1)))) (* 2 2)) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 49.709 * [simplify]: Simplifying (* 2 2) 49.709 * * [simplify]: iters left: 2 (2 enodes) 49.712 * * [simplify]: iters left: 1 (7 enodes) 49.715 * * [simplify]: Extracting #0: cost 1 inf + 0 49.715 * * [simplify]: Extracting #1: cost 0 inf + 1 49.715 * [simplify]: Simplified to 4 49.715 * [simplify]: Simplified (2 2 1 2 2 1 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (/ (* (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))) 4) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 49.715 * * * * [progress]: [ 54 / 97 ] simplifiying candidate # 49.715 * * * * [progress]: [ 55 / 97 ] simplifiying candidate # 49.716 * [simplify]: Simplifying (* (sin lambda1) (sin lambda1)) 49.716 * * [simplify]: iters left: 3 (3 enodes) 49.717 * * [simplify]: iters left: 2 (9 enodes) 49.720 * * [simplify]: Extracting #0: cost 1 inf + 0 49.720 * * [simplify]: Extracting #1: cost 3 inf + 0 49.720 * * [simplify]: Extracting #2: cost 5 inf + 0 49.720 * * [simplify]: Extracting #3: cost 4 inf + 1 49.720 * * [simplify]: Extracting #4: cost 0 inf + 325 49.720 * [simplify]: Simplified to (* (sin lambda1) (sin lambda1)) 49.720 * [simplify]: Simplified (2 2 1 2 2 1 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda1)) (* (sin lambda2) (sin lambda2))) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 49.721 * [simplify]: Simplifying (* (sin lambda2) (sin lambda2)) 49.721 * * [simplify]: iters left: 3 (3 enodes) 49.722 * * [simplify]: iters left: 2 (9 enodes) 49.724 * * [simplify]: Extracting #0: cost 1 inf + 0 49.724 * * [simplify]: Extracting #1: cost 3 inf + 0 49.724 * * [simplify]: Extracting #2: cost 5 inf + 0 49.724 * * [simplify]: Extracting #3: cost 4 inf + 1 49.724 * * [simplify]: Extracting #4: cost 0 inf + 325 49.724 * [simplify]: Simplified to (* (sin lambda2) (sin lambda2)) 49.724 * [simplify]: Simplified (2 2 1 2 2 1 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda1)) (* (sin lambda2) (sin lambda2))) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 49.724 * * * * [progress]: [ 56 / 97 ] simplifiying candidate # 49.724 * [simplify]: Simplifying (* 2 1) 49.724 * * [simplify]: iters left: 2 (3 enodes) 49.726 * * [simplify]: iters left: 1 (9 enodes) 49.728 * * [simplify]: Extracting #0: cost 1 inf + 0 49.728 * * [simplify]: Extracting #1: cost 0 inf + 1 49.728 * [simplify]: Simplified to 2 49.728 * [simplify]: Simplified (2 2 1 2 2 1 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (pow (* (sin lambda1) (sin lambda2)) 2) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 49.728 * * * * [progress]: [ 57 / 97 ] simplifiying candidate # 49.728 * [simplify]: Simplifying (* 2 1) 49.728 * * [simplify]: iters left: 2 (3 enodes) 49.730 * * [simplify]: iters left: 1 (9 enodes) 49.731 * * [simplify]: Extracting #0: cost 1 inf + 0 49.731 * * [simplify]: Extracting #1: cost 0 inf + 1 49.731 * [simplify]: Simplified to 2 49.731 * [simplify]: Simplified (2 2 1 2 2 1 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (pow (* (sin lambda1) (sin lambda2)) 2) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 49.732 * * * * [progress]: [ 58 / 97 ] simplifiying candidate # 49.732 * [simplify]: Simplifying (* 2 1) 49.732 * * [simplify]: iters left: 2 (3 enodes) 49.733 * * [simplify]: iters left: 1 (9 enodes) 49.735 * * [simplify]: Extracting #0: cost 1 inf + 0 49.735 * * [simplify]: Extracting #1: cost 0 inf + 1 49.735 * [simplify]: Simplified to 2 49.735 * [simplify]: Simplified (2 2 1 2 2 1 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (pow (* (sin lambda1) (sin lambda2)) 2) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 49.735 * * * * [progress]: [ 59 / 97 ] simplifiying candidate # 49.735 * [simplify]: Simplifying (* 2 1) 49.735 * * [simplify]: iters left: 2 (3 enodes) 49.737 * * [simplify]: iters left: 1 (9 enodes) 49.738 * * [simplify]: Extracting #0: cost 1 inf + 0 49.738 * * [simplify]: Extracting #1: cost 0 inf + 1 49.738 * [simplify]: Simplified to 2 49.738 * [simplify]: Simplified (2 2 1 2 2 1 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (pow (* (sin lambda1) (sin lambda2)) 2) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 49.739 * * * * [progress]: [ 60 / 97 ] simplifiying candidate # 49.739 * [simplify]: Simplifying (* (* (sin lambda1) (sin lambda2)) (sin lambda1)) 49.739 * * [simplify]: iters left: 5 (6 enodes) 49.740 * * [simplify]: iters left: 4 (20 enodes) 49.743 * * [simplify]: iters left: 3 (23 enodes) 49.746 * * [simplify]: iters left: 2 (25 enodes) 49.749 * * [simplify]: Extracting #0: cost 1 inf + 0 49.749 * * [simplify]: Extracting #1: cost 6 inf + 0 49.749 * * [simplify]: Extracting #2: cost 12 inf + 0 49.749 * * [simplify]: Extracting #3: cost 10 inf + 2 49.750 * * [simplify]: Extracting #4: cost 0 inf + 1176 49.750 * [simplify]: Simplified to (* (* (sin lambda1) (sin lambda1)) (sin lambda2)) 49.750 * [simplify]: Simplified (2 2 1 2 2 1 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (* (sin lambda1) (sin lambda1)) (sin lambda2)) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 49.750 * * * * [progress]: [ 61 / 97 ] simplifiying candidate # 49.750 * [simplify]: Simplifying (* (sin lambda2) (* (sin lambda1) (sin lambda2))) 49.750 * * [simplify]: iters left: 5 (6 enodes) 49.752 * * [simplify]: iters left: 4 (20 enodes) 49.755 * * [simplify]: iters left: 3 (23 enodes) 49.758 * * [simplify]: iters left: 2 (25 enodes) 49.761 * * [simplify]: Extracting #0: cost 1 inf + 0 49.761 * * [simplify]: Extracting #1: cost 6 inf + 0 49.761 * * [simplify]: Extracting #2: cost 12 inf + 0 49.761 * * [simplify]: Extracting #3: cost 10 inf + 2 49.761 * * [simplify]: Extracting #4: cost 0 inf + 1176 49.761 * [simplify]: Simplified to (* (* (sin lambda2) (sin lambda2)) (sin lambda1)) 49.761 * [simplify]: Simplified (2 2 1 2 2 1 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (sin lambda1) (* (* (sin lambda2) (sin lambda2)) (sin lambda1))) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 49.762 * * * * [progress]: [ 62 / 97 ] simplifiying candidate # 49.762 * [simplify]: Simplifying (* (* (sin lambda1) (sin lambda2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))) 49.762 * * [simplify]: iters left: 6 (11 enodes) 49.764 * * [simplify]: iters left: 5 (42 enodes) 49.770 * * [simplify]: iters left: 4 (68 enodes) 49.782 * * [simplify]: iters left: 3 (126 enodes) 49.802 * * [simplify]: iters left: 2 (174 enodes) 49.823 * * [simplify]: iters left: 1 (202 enodes) 49.845 * * [simplify]: Extracting #0: cost 1 inf + 0 49.845 * * [simplify]: Extracting #1: cost 11 inf + 0 49.846 * * [simplify]: Extracting #2: cost 34 inf + 0 49.846 * * [simplify]: Extracting #3: cost 42 inf + 286 49.846 * * [simplify]: Extracting #4: cost 29 inf + 2554 49.848 * * [simplify]: Extracting #5: cost 3 inf + 9047 49.850 * * [simplify]: Extracting #6: cost 0 inf + 9532 49.851 * [simplify]: Simplified to (* (* (sin lambda2) (sin lambda1)) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))) 49.851 * [simplify]: Simplified (2 2 1 2 2 1 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (/ (* (* (sin lambda2) (sin lambda1)) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))) 2) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 49.852 * * * * [progress]: [ 63 / 97 ] simplifiying candidate # 49.852 * [simplify]: Simplifying (* (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2))) 49.852 * * [simplify]: iters left: 6 (11 enodes) 49.854 * * [simplify]: iters left: 5 (42 enodes) 49.862 * * [simplify]: iters left: 4 (62 enodes) 49.880 * * [simplify]: iters left: 3 (106 enodes) 49.906 * * [simplify]: iters left: 2 (159 enodes) 49.928 * * [simplify]: iters left: 1 (217 enodes) 49.959 * * [simplify]: Extracting #0: cost 1 inf + 0 49.959 * * [simplify]: Extracting #1: cost 13 inf + 0 49.959 * * [simplify]: Extracting #2: cost 40 inf + 0 49.959 * * [simplify]: Extracting #3: cost 52 inf + 2 49.959 * * [simplify]: Extracting #4: cost 42 inf + 1566 49.961 * * [simplify]: Extracting #5: cost 8 inf + 9490 49.963 * * [simplify]: Extracting #6: cost 0 inf + 11264 49.965 * [simplify]: Simplified to (* (* (sin lambda1) (sin lambda2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1)))) 49.965 * [simplify]: Simplified (2 2 1 2 2 1 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (/ (* (* (sin lambda1) (sin lambda2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1)))) 2) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 49.965 * * * * [progress]: [ 64 / 97 ] simplifiying candidate #real (real->posit16 (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin lambda1) (sin lambda2))))) (cos phi2)))))))> 49.965 * [simplify]: Simplifying (real->posit16 (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) 49.965 * * [simplify]: iters left: 6 (7 enodes) 49.967 * * [simplify]: iters left: 5 (26 enodes) 49.971 * * [simplify]: iters left: 4 (45 enodes) 49.979 * * [simplify]: Extracting #0: cost 1 inf + 0 49.979 * * [simplify]: Extracting #1: cost 2 inf + 0 49.979 * * [simplify]: Extracting #2: cost 9 inf + 0 49.979 * * [simplify]: Extracting #3: cost 18 inf + 0 49.979 * * [simplify]: Extracting #4: cost 15 inf + 63 49.980 * * [simplify]: Extracting #5: cost 9 inf + 589 49.980 * * [simplify]: Extracting #6: cost 1 inf + 1984 49.981 * * [simplify]: Extracting #7: cost 0 inf + 2186 49.982 * [simplify]: Simplified to (real->posit16 (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))) 49.982 * [simplify]: Simplified (2 2 1 2 2 1 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (posit16->real (real->posit16 (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))))) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 49.982 * * * * [progress]: [ 65 / 97 ] simplifiying candidate # 49.982 * * * * [progress]: [ 66 / 97 ] simplifiying candidate # 49.982 * [simplify]: Simplifying (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) 49.983 * * [simplify]: iters left: 5 (7 enodes) 49.985 * * [simplify]: iters left: 4 (26 enodes) 49.992 * * [simplify]: iters left: 3 (32 enodes) 50.000 * * [simplify]: Extracting #0: cost 1 inf + 0 50.000 * * [simplify]: Extracting #1: cost 5 inf + 0 50.001 * * [simplify]: Extracting #2: cost 10 inf + 0 50.001 * * [simplify]: Extracting #3: cost 15 inf + 0 50.001 * * [simplify]: Extracting #4: cost 13 inf + 43 50.001 * * [simplify]: Extracting #5: cost 4 inf + 800 50.001 * * [simplify]: Extracting #6: cost 1 inf + 1186 50.002 * * [simplify]: Extracting #7: cost 0 inf + 1428 50.002 * [simplify]: Simplified to (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))) 50.003 * [simplify]: Simplified (2 2 1 2 2 1 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (/ (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))) 2)))) (cos phi2))))))) 50.003 * * * * [progress]: [ 67 / 97 ] simplifiying candidate # 50.003 * [simplify]: Simplifying (* (sin lambda1) (sin lambda2)) 50.003 * * [simplify]: iters left: 3 (5 enodes) 50.006 * * [simplify]: iters left: 2 (16 enodes) 50.010 * * [simplify]: Extracting #0: cost 1 inf + 0 50.010 * * [simplify]: Extracting #1: cost 4 inf + 0 50.010 * * [simplify]: Extracting #2: cost 8 inf + 0 50.010 * * [simplify]: Extracting #3: cost 4 inf + 124 50.010 * * [simplify]: Extracting #4: cost 0 inf + 570 50.011 * [simplify]: Simplified to (* (sin lambda2) (sin lambda1)) 50.011 * [simplify]: Simplified (2 2 1 2 2 1 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda2) (sin lambda1)) 1)))) (cos phi2))))))) 50.011 * * * * [progress]: [ 68 / 97 ] simplifiying candidate # 50.011 * * * * [progress]: [ 69 / 97 ] simplifiying candidate # 50.011 * [simplify]: Simplifying (+ (log (sin lambda1)) (log (sin lambda2))) 50.012 * * [simplify]: iters left: 4 (7 enodes) 50.014 * * [simplify]: iters left: 3 (22 enodes) 50.020 * * [simplify]: Extracting #0: cost 1 inf + 0 50.020 * * [simplify]: Extracting #1: cost 4 inf + 0 50.020 * * [simplify]: Extracting #2: cost 8 inf + 0 50.020 * * [simplify]: Extracting #3: cost 12 inf + 0 50.020 * * [simplify]: Extracting #4: cost 10 inf + 2 50.020 * * [simplify]: Extracting #5: cost 4 inf + 508 50.021 * * [simplify]: Extracting #6: cost 1 inf + 1072 50.021 * * [simplify]: Extracting #7: cost 0 inf + 1374 50.021 * [simplify]: Simplified to (+ (log (sin lambda2)) (log (sin lambda1))) 50.021 * [simplify]: Simplified (2 2 1 2 2 1 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (exp (+ (log (sin lambda2)) (log (sin lambda1))))))) (cos phi2))))))) 50.022 * * * * [progress]: [ 70 / 97 ] simplifiying candidate # 50.022 * [simplify]: Simplifying (log (* (sin lambda1) (sin lambda2))) 50.022 * * [simplify]: iters left: 4 (6 enodes) 50.025 * * [simplify]: iters left: 3 (22 enodes) 50.031 * * [simplify]: iters left: 2 (27 enodes) 50.034 * * [simplify]: Extracting #0: cost 1 inf + 0 50.034 * * [simplify]: Extracting #1: cost 5 inf + 0 50.034 * * [simplify]: Extracting #2: cost 10 inf + 0 50.034 * * [simplify]: Extracting #3: cost 14 inf + 0 50.034 * * [simplify]: Extracting #4: cost 9 inf + 255 50.034 * * [simplify]: Extracting #5: cost 6 inf + 508 50.035 * * [simplify]: Extracting #6: cost 1 inf + 1326 50.035 * * [simplify]: Extracting #7: cost 0 inf + 1558 50.035 * [simplify]: Simplified to (log (* (sin lambda2) (sin lambda1))) 50.035 * [simplify]: Simplified (2 2 1 2 2 1 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (exp (log (* (sin lambda2) (sin lambda1))))))) (cos phi2))))))) 50.035 * * * * [progress]: [ 71 / 97 ] simplifiying candidate # 50.035 * [simplify]: Simplifying (exp (* (sin lambda1) (sin lambda2))) 50.035 * * [simplify]: iters left: 4 (6 enodes) 50.037 * * [simplify]: iters left: 3 (21 enodes) 50.040 * * [simplify]: iters left: 2 (29 enodes) 50.045 * * [simplify]: iters left: 1 (42 enodes) 50.052 * * [simplify]: Extracting #0: cost 1 inf + 0 50.052 * * [simplify]: Extracting #1: cost 14 inf + 0 50.052 * * [simplify]: Extracting #2: cost 32 inf + 0 50.052 * * [simplify]: Extracting #3: cost 26 inf + 963 50.053 * * [simplify]: Extracting #4: cost 10 inf + 3532 50.053 * * [simplify]: Extracting #5: cost 2 inf + 6437 50.054 * * [simplify]: Extracting #6: cost 0 inf + 7614 50.055 * [simplify]: Simplified to (exp (* (sin lambda2) (sin lambda1))) 50.055 * [simplify]: Simplified (2 2 1 2 2 1 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (log (exp (* (sin lambda2) (sin lambda1))))))) (cos phi2))))))) 50.055 * * * * [progress]: [ 72 / 97 ] simplifiying candidate # 50.055 * [simplify]: Simplifying (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) 50.055 * * [simplify]: iters left: 6 (9 enodes) 50.057 * * [simplify]: iters left: 5 (34 enodes) 50.063 * * [simplify]: iters left: 4 (63 enodes) 50.087 * * [simplify]: iters left: 3 (122 enodes) 50.135 * * [simplify]: iters left: 2 (196 enodes) 50.244 * * [simplify]: iters left: 1 (381 enodes) 50.408 * * [simplify]: Extracting #0: cost 1 inf + 0 50.408 * * [simplify]: Extracting #1: cost 74 inf + 0 50.410 * * [simplify]: Extracting #2: cost 184 inf + 1 50.412 * * [simplify]: Extracting #3: cost 149 inf + 6713 50.423 * * [simplify]: Extracting #4: cost 54 inf + 55652 50.435 * * [simplify]: Extracting #5: cost 0 inf + 88599 50.445 * * [simplify]: Extracting #6: cost 0 inf + 88519 50.454 * [simplify]: Simplified to (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (sin lambda2) (sin lambda1))) 50.454 * [simplify]: Simplified (2 2 1 2 2 1 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (cbrt (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (sin lambda2) (sin lambda1))))))) (cos phi2))))))) 50.455 * * * * [progress]: [ 73 / 97 ] simplifiying candidate # 50.455 * [simplify]: Simplifying (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) 50.455 * * [simplify]: iters left: 6 (7 enodes) 50.456 * * [simplify]: iters left: 5 (22 enodes) 50.459 * * [simplify]: Extracting #0: cost 1 inf + 0 50.459 * * [simplify]: Extracting #1: cost 3 inf + 0 50.459 * * [simplify]: Extracting #2: cost 5 inf + 0 50.459 * * [simplify]: Extracting #3: cost 8 inf + 0 50.459 * * [simplify]: Extracting #4: cost 12 inf + 0 50.459 * * [simplify]: Extracting #5: cost 10 inf + 2 50.460 * * [simplify]: Extracting #6: cost 1 inf + 1336 50.460 * * [simplify]: Extracting #7: cost 0 inf + 1618 50.460 * [simplify]: Simplified to (* (cbrt (* (sin lambda2) (sin lambda1))) (cbrt (* (sin lambda2) (sin lambda1)))) 50.460 * [simplify]: Simplified (2 2 1 2 2 1 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cbrt (* (sin lambda2) (sin lambda1))) (cbrt (* (sin lambda2) (sin lambda1)))) (cbrt (* (sin lambda1) (sin lambda2))))))) (cos phi2))))))) 50.460 * [simplify]: Simplifying (cbrt (* (sin lambda1) (sin lambda2))) 50.460 * * [simplify]: iters left: 4 (6 enodes) 50.462 * * [simplify]: iters left: 3 (19 enodes) 50.465 * * [simplify]: Extracting #0: cost 1 inf + 0 50.465 * * [simplify]: Extracting #1: cost 3 inf + 0 50.465 * * [simplify]: Extracting #2: cost 6 inf + 0 50.465 * * [simplify]: Extracting #3: cost 10 inf + 0 50.465 * * [simplify]: Extracting #4: cost 6 inf + 124 50.465 * * [simplify]: Extracting #5: cost 0 inf + 1054 50.465 * [simplify]: Simplified to (cbrt (* (sin lambda2) (sin lambda1))) 50.466 * [simplify]: Simplified (2 2 1 2 2 1 2 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda2) (sin lambda1))))))) (cos phi2))))))) 50.466 * * * * [progress]: [ 74 / 97 ] simplifiying candidate # 50.466 * [simplify]: Simplifying (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) 50.467 * * [simplify]: iters left: 6 (7 enodes) 50.470 * * [simplify]: iters left: 5 (32 enodes) 50.478 * * [simplify]: iters left: 4 (72 enodes) 50.493 * * [simplify]: iters left: 3 (126 enodes) 50.520 * * [simplify]: iters left: 2 (157 enodes) 50.573 * * [simplify]: iters left: 1 (231 enodes) 50.644 * * [simplify]: Extracting #0: cost 1 inf + 0 50.644 * * [simplify]: Extracting #1: cost 35 inf + 0 50.644 * * [simplify]: Extracting #2: cost 95 inf + 1 50.645 * * [simplify]: Extracting #3: cost 77 inf + 2691 50.650 * * [simplify]: Extracting #4: cost 18 inf + 23450 50.654 * * [simplify]: Extracting #5: cost 0 inf + 32321 50.659 * [simplify]: Simplified to (* (* (sin lambda2) (sin lambda1)) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))) 50.659 * [simplify]: Simplified (2 2 1 2 2 1 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (cbrt (* (* (sin lambda2) (sin lambda1)) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))))))) (cos phi2))))))) 50.659 * * * * [progress]: [ 75 / 97 ] simplifiying candidate # 50.659 * [simplify]: Simplifying (sqrt (* (sin lambda1) (sin lambda2))) 50.659 * * [simplify]: iters left: 4 (6 enodes) 50.661 * * [simplify]: iters left: 3 (19 enodes) 50.663 * * [simplify]: Extracting #0: cost 1 inf + 0 50.663 * * [simplify]: Extracting #1: cost 3 inf + 0 50.663 * * [simplify]: Extracting #2: cost 6 inf + 0 50.663 * * [simplify]: Extracting #3: cost 10 inf + 0 50.663 * * [simplify]: Extracting #4: cost 6 inf + 124 50.663 * * [simplify]: Extracting #5: cost 0 inf + 974 50.664 * [simplify]: Simplified to (sqrt (* (sin lambda2) (sin lambda1))) 50.664 * [simplify]: Simplified (2 2 1 2 2 1 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sqrt (* (sin lambda2) (sin lambda1))) (sqrt (* (sin lambda1) (sin lambda2))))))) (cos phi2))))))) 50.664 * [simplify]: Simplifying (sqrt (* (sin lambda1) (sin lambda2))) 50.664 * * [simplify]: iters left: 4 (6 enodes) 50.665 * * [simplify]: iters left: 3 (19 enodes) 50.667 * * [simplify]: Extracting #0: cost 1 inf + 0 50.667 * * [simplify]: Extracting #1: cost 3 inf + 0 50.668 * * [simplify]: Extracting #2: cost 6 inf + 0 50.668 * * [simplify]: Extracting #3: cost 10 inf + 0 50.668 * * [simplify]: Extracting #4: cost 6 inf + 124 50.668 * * [simplify]: Extracting #5: cost 0 inf + 974 50.668 * [simplify]: Simplified to (sqrt (* (sin lambda2) (sin lambda1))) 50.668 * [simplify]: Simplified (2 2 1 2 2 1 2 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda2) (sin lambda1))))))) (cos phi2))))))) 50.668 * * * * [progress]: [ 76 / 97 ] simplifiying candidate # 50.668 * * * * [progress]: [ 77 / 97 ] simplifiying candidate # 50.668 * [simplify]: Simplifying (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) 50.668 * * [simplify]: iters left: 4 (7 enodes) 50.670 * * [simplify]: iters left: 3 (22 enodes) 50.672 * * [simplify]: Extracting #0: cost 1 inf + 0 50.672 * * [simplify]: Extracting #1: cost 4 inf + 0 50.672 * * [simplify]: Extracting #2: cost 8 inf + 0 50.672 * * [simplify]: Extracting #3: cost 12 inf + 0 50.672 * * [simplify]: Extracting #4: cost 10 inf + 2 50.673 * * [simplify]: Extracting #5: cost 4 inf + 448 50.673 * * [simplify]: Extracting #6: cost 1 inf + 892 50.673 * * [simplify]: Extracting #7: cost 0 inf + 1134 50.673 * [simplify]: Simplified to (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) 50.673 * [simplify]: Simplified (2 2 1 2 2 1 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))))))) (cos phi2))))))) 50.673 * [simplify]: Simplifying (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) 50.673 * * [simplify]: iters left: 4 (7 enodes) 50.675 * * [simplify]: iters left: 3 (22 enodes) 50.680 * * [simplify]: Extracting #0: cost 1 inf + 0 50.680 * * [simplify]: Extracting #1: cost 4 inf + 0 50.680 * * [simplify]: Extracting #2: cost 8 inf + 0 50.680 * * [simplify]: Extracting #3: cost 12 inf + 0 50.680 * * [simplify]: Extracting #4: cost 10 inf + 2 50.680 * * [simplify]: Extracting #5: cost 4 inf + 448 50.680 * * [simplify]: Extracting #6: cost 1 inf + 892 50.680 * * [simplify]: Extracting #7: cost 0 inf + 1134 50.680 * [simplify]: Simplified to (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) 50.680 * [simplify]: Simplified (2 2 1 2 2 1 2 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))))))) (cos phi2))))))) 50.681 * * * * [progress]: [ 78 / 97 ] simplifiying candidate # 50.681 * [simplify]: Simplifying (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) 50.681 * * [simplify]: iters left: 6 (7 enodes) 50.682 * * [simplify]: iters left: 5 (24 enodes) 50.686 * * [simplify]: iters left: 4 (28 enodes) 50.689 * * [simplify]: Extracting #0: cost 1 inf + 0 50.689 * * [simplify]: Extracting #1: cost 6 inf + 0 50.689 * * [simplify]: Extracting #2: cost 12 inf + 0 50.689 * * [simplify]: Extracting #3: cost 13 inf + 1 50.690 * * [simplify]: Extracting #4: cost 8 inf + 246 50.690 * * [simplify]: Extracting #5: cost 3 inf + 1193 50.690 * * [simplify]: Extracting #6: cost 1 inf + 1656 50.690 * * [simplify]: Extracting #7: cost 0 inf + 1938 50.690 * [simplify]: Simplified to (* (* (sin lambda1) (cbrt (sin lambda2))) (cbrt (sin lambda2))) 50.690 * [simplify]: Simplified (2 2 1 2 2 1 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (cbrt (sin lambda2))) (cbrt (sin lambda2))) (cbrt (sin lambda2)))))) (cos phi2))))))) 50.691 * * * * [progress]: [ 79 / 97 ] simplifiying candidate # 50.691 * [simplify]: Simplifying (* (sin lambda1) (sqrt (sin lambda2))) 50.691 * * [simplify]: iters left: 4 (6 enodes) 50.692 * * [simplify]: iters left: 3 (19 enodes) 50.695 * * [simplify]: Extracting #0: cost 1 inf + 0 50.695 * * [simplify]: Extracting #1: cost 4 inf + 0 50.695 * * [simplify]: Extracting #2: cost 8 inf + 0 50.695 * * [simplify]: Extracting #3: cost 9 inf + 1 50.695 * * [simplify]: Extracting #4: cost 0 inf + 852 50.695 * [simplify]: Simplified to (* (sin lambda1) (sqrt (sin lambda2))) 50.695 * [simplify]: Simplified (2 2 1 2 2 1 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (sin lambda1) (sqrt (sin lambda2))) (sqrt (sin lambda2)))))) (cos phi2))))))) 50.695 * * * * [progress]: [ 80 / 97 ] simplifiying candidate # 50.695 * [simplify]: Simplifying (* (sin lambda1) 1) 50.696 * * [simplify]: iters left: 3 (4 enodes) 50.697 * * [simplify]: iters left: 2 (13 enodes) 50.699 * * [simplify]: iters left: 1 (17 enodes) 50.702 * * [simplify]: Extracting #0: cost 1 inf + 0 50.702 * * [simplify]: Extracting #1: cost 4 inf + 0 50.702 * * [simplify]: Extracting #2: cost 0 inf + 124 50.702 * [simplify]: Simplified to (sin lambda1) 50.702 * [simplify]: Simplified (2 2 1 2 2 1 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 50.703 * * * * [progress]: [ 81 / 97 ] simplifiying candidate # 50.703 * [simplify]: Simplifying (* (cbrt (sin lambda1)) (sin lambda2)) 50.703 * * [simplify]: iters left: 4 (6 enodes) 50.705 * * [simplify]: iters left: 3 (19 enodes) 50.709 * * [simplify]: Extracting #0: cost 1 inf + 0 50.710 * * [simplify]: Extracting #1: cost 4 inf + 0 50.710 * * [simplify]: Extracting #2: cost 8 inf + 0 50.710 * * [simplify]: Extracting #3: cost 7 inf + 123 50.710 * * [simplify]: Extracting #4: cost 6 inf + 124 50.710 * * [simplify]: Extracting #5: cost 0 inf + 1012 50.710 * [simplify]: Simplified to (* (sin lambda2) (cbrt (sin lambda1))) 50.710 * [simplify]: Simplified (2 2 1 2 2 1 2 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cbrt (sin lambda1)) (cbrt (sin lambda1))) (* (sin lambda2) (cbrt (sin lambda1))))))) (cos phi2))))))) 50.711 * * * * [progress]: [ 82 / 97 ] simplifiying candidate # 50.711 * [simplify]: Simplifying (* (sqrt (sin lambda1)) (sin lambda2)) 50.712 * * [simplify]: iters left: 4 (6 enodes) 50.714 * * [simplify]: iters left: 3 (19 enodes) 50.719 * * [simplify]: Extracting #0: cost 1 inf + 0 50.719 * * [simplify]: Extracting #1: cost 4 inf + 0 50.719 * * [simplify]: Extracting #2: cost 8 inf + 0 50.719 * * [simplify]: Extracting #3: cost 7 inf + 123 50.719 * * [simplify]: Extracting #4: cost 6 inf + 124 50.719 * * [simplify]: Extracting #5: cost 0 inf + 852 50.719 * [simplify]: Simplified to (* (sin lambda2) (sqrt (sin lambda1))) 50.719 * [simplify]: Simplified (2 2 1 2 2 1 2 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (* (sin lambda2) (sqrt (sin lambda1))))))) (cos phi2))))))) 50.720 * * * * [progress]: [ 83 / 97 ] simplifiying candidate # 50.720 * [simplify]: Simplifying (* (sin lambda1) (sin lambda2)) 50.720 * * [simplify]: iters left: 3 (5 enodes) 50.722 * * [simplify]: iters left: 2 (16 enodes) 50.726 * * [simplify]: Extracting #0: cost 1 inf + 0 50.726 * * [simplify]: Extracting #1: cost 4 inf + 0 50.726 * * [simplify]: Extracting #2: cost 8 inf + 0 50.726 * * [simplify]: Extracting #3: cost 4 inf + 124 50.726 * * [simplify]: Extracting #4: cost 0 inf + 570 50.727 * [simplify]: Simplified to (* (sin lambda2) (sin lambda1)) 50.727 * [simplify]: Simplified (2 2 1 2 2 1 2 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* 1 (* (sin lambda2) (sin lambda1)))))) (cos phi2))))))) 50.727 * * * * [progress]: [ 84 / 97 ] simplifiying candidate #real (real->posit16 (* (sin lambda1) (sin lambda2))))))) (cos phi2)))))))> 50.727 * [simplify]: Simplifying (real->posit16 (* (sin lambda1) (sin lambda2))) 50.727 * * [simplify]: iters left: 4 (6 enodes) 50.730 * * [simplify]: iters left: 3 (16 enodes) 50.734 * * [simplify]: Extracting #0: cost 1 inf + 0 50.734 * * [simplify]: Extracting #1: cost 2 inf + 0 50.734 * * [simplify]: Extracting #2: cost 4 inf + 0 50.734 * * [simplify]: Extracting #3: cost 8 inf + 0 50.734 * * [simplify]: Extracting #4: cost 4 inf + 124 50.734 * * [simplify]: Extracting #5: cost 0 inf + 570 50.734 * [simplify]: Simplified to (real->posit16 (* (sin lambda2) (sin lambda1))) 50.734 * [simplify]: Simplified (2 2 1 2 2 1 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (posit16->real (real->posit16 (* (sin lambda2) (sin lambda1))))))) (cos phi2))))))) 50.735 * * * * [progress]: [ 85 / 97 ] simplifiying candidate # 50.735 * * * * [progress]: [ 86 / 97 ] simplifiying candidate # 50.735 * [simplify]: Simplifying (* lambda2 lambda1) 50.735 * * [simplify]: iters left: 2 (3 enodes) 50.736 * * [simplify]: iters left: 1 (10 enodes) 50.737 * * [simplify]: Extracting #0: cost 1 inf + 0 50.737 * * [simplify]: Extracting #1: cost 4 inf + 0 50.737 * * [simplify]: Extracting #2: cost 2 inf + 2 50.737 * * [simplify]: Extracting #3: cost 0 inf + 86 50.737 * [simplify]: Simplified to (* lambda2 lambda1) 50.737 * [simplify]: Simplified (2 2 1 2 2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* lambda2 lambda1)) (cos phi2))))))) 50.737 * * * * [progress]: [ 87 / 97 ] simplifiying candidate # 50.737 * [simplify]: Simplifying (* (sin lambda2) (sin lambda1)) 50.737 * * [simplify]: iters left: 3 (5 enodes) 50.738 * * [simplify]: iters left: 2 (16 enodes) 50.741 * * [simplify]: Extracting #0: cost 1 inf + 0 50.741 * * [simplify]: Extracting #1: cost 4 inf + 0 50.741 * * [simplify]: Extracting #2: cost 8 inf + 0 50.741 * * [simplify]: Extracting #3: cost 4 inf + 124 50.741 * * [simplify]: Extracting #4: cost 0 inf + 570 50.741 * [simplify]: Simplified to (* (sin lambda1) (sin lambda2)) 50.741 * [simplify]: Simplified (2 2 1 2 2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 50.741 * * * * [progress]: [ 88 / 97 ] simplifiying candidate # 50.741 * [simplify]: Simplifying (* (sin lambda1) (sin lambda2)) 50.741 * * [simplify]: iters left: 3 (5 enodes) 50.742 * * [simplify]: iters left: 2 (16 enodes) 50.744 * * [simplify]: Extracting #0: cost 1 inf + 0 50.744 * * [simplify]: Extracting #1: cost 4 inf + 0 50.744 * * [simplify]: Extracting #2: cost 8 inf + 0 50.744 * * [simplify]: Extracting #3: cost 4 inf + 124 50.744 * * [simplify]: Extracting #4: cost 0 inf + 570 50.745 * [simplify]: Simplified to (* (sin lambda2) (sin lambda1)) 50.745 * [simplify]: Simplified (2 2 1 2 2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi2))))))) 50.745 * * * * [progress]: [ 89 / 97 ] simplifiying candidate # 50.745 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 50.745 * * [simplify]: iters left: 6 (22 enodes) 50.750 * * [simplify]: iters left: 5 (84 enodes) 50.762 * * [simplify]: iters left: 4 (141 enodes) 50.798 * * [simplify]: iters left: 3 (241 enodes) 50.877 * * [simplify]: iters left: 2 (280 enodes) 50.961 * * [simplify]: Extracting #0: cost 1 inf + 0 50.961 * * [simplify]: Extracting #1: cost 3 inf + 0 50.961 * * [simplify]: Extracting #2: cost 10 inf + 0 50.961 * * [simplify]: Extracting #3: cost 46 inf + 0 50.962 * * [simplify]: Extracting #4: cost 80 inf + 0 50.963 * * [simplify]: Extracting #5: cost 63 inf + 1504 50.966 * * [simplify]: Extracting #6: cost 22 inf + 9796 50.971 * * [simplify]: Extracting #7: cost 5 inf + 17031 50.978 * * [simplify]: Extracting #8: cost 0 inf + 19888 50.986 * * [simplify]: Extracting #9: cost 0 inf + 19728 50.993 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) 50.993 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) 50.993 * * * * [progress]: [ 90 / 97 ] simplifiying candidate # 50.993 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 50.994 * * [simplify]: iters left: 6 (22 enodes) 51.003 * * [simplify]: iters left: 5 (84 enodes) 51.021 * * [simplify]: iters left: 4 (141 enodes) 51.046 * * [simplify]: iters left: 3 (241 enodes) 51.109 * * [simplify]: iters left: 2 (280 enodes) 51.176 * * [simplify]: Extracting #0: cost 1 inf + 0 51.176 * * [simplify]: Extracting #1: cost 3 inf + 0 51.176 * * [simplify]: Extracting #2: cost 10 inf + 0 51.176 * * [simplify]: Extracting #3: cost 46 inf + 0 51.176 * * [simplify]: Extracting #4: cost 80 inf + 0 51.176 * * [simplify]: Extracting #5: cost 58 inf + 2112 51.178 * * [simplify]: Extracting #6: cost 20 inf + 10221 51.181 * * [simplify]: Extracting #7: cost 2 inf + 18300 51.184 * * [simplify]: Extracting #8: cost 0 inf + 19888 51.189 * * [simplify]: Extracting #9: cost 0 inf + 19728 51.193 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) 51.193 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))))) 51.193 * * * * [progress]: [ 91 / 97 ] simplifiying candidate # 51.194 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 51.194 * * [simplify]: iters left: 6 (22 enodes) 51.203 * * [simplify]: iters left: 5 (84 enodes) 51.230 * * [simplify]: iters left: 4 (141 enodes) 51.280 * * [simplify]: iters left: 3 (241 enodes) 51.349 * * [simplify]: iters left: 2 (280 enodes) 51.404 * * [simplify]: Extracting #0: cost 1 inf + 0 51.404 * * [simplify]: Extracting #1: cost 3 inf + 0 51.405 * * [simplify]: Extracting #2: cost 10 inf + 0 51.405 * * [simplify]: Extracting #3: cost 46 inf + 0 51.405 * * [simplify]: Extracting #4: cost 80 inf + 0 51.405 * * [simplify]: Extracting #5: cost 63 inf + 1504 51.407 * * [simplify]: Extracting #6: cost 22 inf + 9796 51.410 * * [simplify]: Extracting #7: cost 5 inf + 17031 51.413 * * [simplify]: Extracting #8: cost 0 inf + 19888 51.416 * * [simplify]: Extracting #9: cost 0 inf + 19728 51.420 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) 51.420 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) 51.420 * * * * [progress]: [ 92 / 97 ] simplifiying candidate # 51.420 * [simplify]: Simplifying (- (* (pow lambda2 2) (pow lambda1 2)) (+ (* 1/3 (* (pow lambda2 2) (pow lambda1 4))) (* 1/3 (* (pow lambda2 4) (pow lambda1 2))))) 51.420 * * [simplify]: iters left: 6 (16 enodes) 51.426 * * [simplify]: iters left: 5 (77 enodes) 51.442 * * [simplify]: iters left: 4 (147 enodes) 51.497 * * [simplify]: iters left: 3 (322 enodes) 51.627 * * [simplify]: Extracting #0: cost 1 inf + 0 51.627 * * [simplify]: Extracting #1: cost 15 inf + 0 51.627 * * [simplify]: Extracting #2: cost 142 inf + 0 51.628 * * [simplify]: Extracting #3: cost 219 inf + 1677 51.633 * * [simplify]: Extracting #4: cost 78 inf + 22271 51.642 * * [simplify]: Extracting #5: cost 3 inf + 34059 51.652 * * [simplify]: Extracting #6: cost 0 inf + 34268 51.671 * [simplify]: Simplified to (- (* (* lambda1 lambda2) (* lambda1 lambda2)) (* (* (* (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* lambda2 lambda2) (* lambda1 lambda1))) 1/3)) 51.671 * [simplify]: Simplified (2 2 1 2 2 1 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (- (* (* lambda1 lambda2) (* lambda1 lambda2)) (* (* (* (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* lambda2 lambda2) (* lambda1 lambda1))) 1/3)) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 51.671 * * * * [progress]: [ 93 / 97 ] simplifiying candidate # 51.672 * [simplify]: Simplifying (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) 51.672 * * [simplify]: iters left: 4 (8 enodes) 51.677 * * [simplify]: iters left: 3 (33 enodes) 51.688 * * [simplify]: iters left: 2 (64 enodes) 51.706 * * [simplify]: iters left: 1 (130 enodes) 51.754 * * [simplify]: Extracting #0: cost 1 inf + 0 51.755 * * [simplify]: Extracting #1: cost 15 inf + 0 51.755 * * [simplify]: Extracting #2: cost 53 inf + 0 51.755 * * [simplify]: Extracting #3: cost 47 inf + 491 51.757 * * [simplify]: Extracting #4: cost 22 inf + 5153 51.759 * * [simplify]: Extracting #5: cost 3 inf + 9659 51.762 * * [simplify]: Extracting #6: cost 0 inf + 10555 51.765 * [simplify]: Simplified to (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) 51.765 * [simplify]: Simplified (2 2 1 2 2 1 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 51.765 * * * * [progress]: [ 94 / 97 ] simplifiying candidate # 51.766 * [simplify]: Simplifying (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) 51.766 * * [simplify]: iters left: 4 (8 enodes) 51.770 * * [simplify]: iters left: 3 (33 enodes) 51.784 * * [simplify]: iters left: 2 (64 enodes) 51.812 * * [simplify]: iters left: 1 (130 enodes) 51.849 * * [simplify]: Extracting #0: cost 1 inf + 0 51.849 * * [simplify]: Extracting #1: cost 15 inf + 0 51.849 * * [simplify]: Extracting #2: cost 53 inf + 0 51.850 * * [simplify]: Extracting #3: cost 47 inf + 491 51.850 * * [simplify]: Extracting #4: cost 22 inf + 5153 51.852 * * [simplify]: Extracting #5: cost 3 inf + 9659 51.853 * * [simplify]: Extracting #6: cost 0 inf + 10555 51.854 * [simplify]: Simplified to (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) 51.855 * [simplify]: Simplified (2 2 1 2 2 1 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 51.855 * * * * [progress]: [ 95 / 97 ] simplifiying candidate # 51.855 * [simplify]: Simplifying (* lambda2 lambda1) 51.855 * * [simplify]: iters left: 2 (3 enodes) 51.856 * * [simplify]: iters left: 1 (10 enodes) 51.857 * * [simplify]: Extracting #0: cost 1 inf + 0 51.857 * * [simplify]: Extracting #1: cost 4 inf + 0 51.857 * * [simplify]: Extracting #2: cost 2 inf + 2 51.857 * * [simplify]: Extracting #3: cost 0 inf + 86 51.857 * [simplify]: Simplified to (* lambda2 lambda1) 51.857 * [simplify]: Simplified (2 2 1 2 2 1 2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* lambda2 lambda1)))) (cos phi2))))))) 51.857 * * * * [progress]: [ 96 / 97 ] simplifiying candidate # 51.857 * [simplify]: Simplifying (* (sin lambda2) (sin lambda1)) 51.857 * * [simplify]: iters left: 3 (5 enodes) 51.858 * * [simplify]: iters left: 2 (16 enodes) 51.860 * * [simplify]: Extracting #0: cost 1 inf + 0 51.860 * * [simplify]: Extracting #1: cost 4 inf + 0 51.860 * * [simplify]: Extracting #2: cost 8 inf + 0 51.860 * * [simplify]: Extracting #3: cost 4 inf + 124 51.860 * * [simplify]: Extracting #4: cost 0 inf + 570 51.861 * [simplify]: Simplified to (* (sin lambda1) (sin lambda2)) 51.861 * [simplify]: Simplified (2 2 1 2 2 1 2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))) (cos phi2))))))) 51.861 * * * * [progress]: [ 97 / 97 ] simplifiying candidate # 51.861 * [simplify]: Simplifying (* (sin lambda1) (sin lambda2)) 51.861 * * [simplify]: iters left: 3 (5 enodes) 51.862 * * [simplify]: iters left: 2 (16 enodes) 51.865 * * [simplify]: Extracting #0: cost 1 inf + 0 51.865 * * [simplify]: Extracting #1: cost 4 inf + 0 51.865 * * [simplify]: Extracting #2: cost 8 inf + 0 51.865 * * [simplify]: Extracting #3: cost 4 inf + 124 51.865 * * [simplify]: Extracting #4: cost 0 inf + 570 51.865 * [simplify]: Simplified to (* (sin lambda2) (sin lambda1)) 51.865 * [simplify]: Simplified (2 2 1 2 2 1 2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda2) (sin lambda1))))) (cos phi2))))))) 51.866 * * * [progress]: adding candidates to table 54.175 * [progress]: [Phase 3 of 3] Extracting. 54.175 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #real (real->posit16 (* (sin phi2) (sin phi1)))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))> # # # # # # # # #) 54.196 * * * [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)))))) 54.196 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # #real (real->posit16 (* (sin phi2) (sin phi1)))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))> # # # # # # # # #) 54.497 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # #real (real->posit16 (* (sin phi2) (sin phi1)))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))> # # # # # # # # #) 54.739 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # #real (real->posit16 (* (sin phi2) (sin phi1)))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))> # # # # # # # # #) 55.008 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# # # # # # # # # # #real (real->posit16 (* (sin phi2) (sin phi1)))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))> # # # # # # # # #) 55.258 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# # #) 55.315 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# # # # # # # # # # #real (real->posit16 (* (sin phi2) (sin phi1)))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))> # # # # # # # # #) 55.666 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# # #) 55.733 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # #real (real->posit16 (* (sin phi2) (sin phi1)))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))> # # # # # # # # #) 55.978 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # #real (real->posit16 (* (sin phi2) (sin phi1)))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))> # # # # # # # # #) 56.287 * * * * [regimes]: Trying to branch on (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) from (# # # # # # # # # # #real (real->posit16 (* (sin phi2) (sin phi1)))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))> # # # # # # # # #) 56.574 * * * * [regimes]: Trying to branch on (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) from (# # # # # # # # # # #real (real->posit16 (* (sin phi2) (sin phi1)))) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))> # # # # # # # # #) 56.835 * * * [regime]: Found split indices: #