0.751 * [progress]: [Phase 1 of 3] Setting up. 0.004 * * * [progress]: [1/2] Preparing points 0.858 * * * [progress]: [2/2] Setting up program. 0.870 * [progress]: [Phase 2 of 3] Improving. 0.870 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.874 * [simplify]: Simplifying: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.875 * * [simplify]: iteration 1: (17 enodes) 0.881 * * [simplify]: iteration 2: (26 enodes) 0.885 * * [simplify]: iteration 3: (33 enodes) 0.890 * * [simplify]: iteration 4: (34 enodes) 0.895 * * [simplify]: Extracting #0: cost 1 inf + 0 0.895 * * [simplify]: Extracting #1: cost 3 inf + 0 0.895 * * [simplify]: Extracting #2: cost 3 inf + 1 0.895 * * [simplify]: Extracting #3: cost 5 inf + 1 0.895 * * [simplify]: Extracting #4: cost 13 inf + 1 0.895 * * [simplify]: Extracting #5: cost 16 inf + 1 0.895 * * [simplify]: Extracting #6: cost 15 inf + 125 0.895 * * [simplify]: Extracting #7: cost 10 inf + 411 0.896 * * [simplify]: Extracting #8: cost 5 inf + 961 0.896 * * [simplify]: Extracting #9: cost 2 inf + 1972 0.896 * * [simplify]: Extracting #10: cost 0 inf + 3201 0.897 * [simplify]: Simplified to: (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 0.904 * * [progress]: iteration 1 / 4 0.904 * * * [progress]: picking best candidate 0.941 * * * * [pick]: Picked # 0.941 * * * [progress]: localizing error 1.030 * * * [progress]: generating rewritten candidates 1.030 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 1.048 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.053 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.060 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 1.082 * * * [progress]: generating series expansions 1.082 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 1.085 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2)) 1.085 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 1.086 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 1.086 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 1.086 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.086 * [backup-simplify]: Simplify lambda1 into lambda1 1.086 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.086 * [backup-simplify]: Simplify 0 into 0 1.086 * [backup-simplify]: Simplify 1 into 1 1.087 * [backup-simplify]: Simplify (- 0) into 0 1.087 * [backup-simplify]: Simplify (+ lambda1 0) into lambda1 1.087 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 1.087 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 1.087 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 1.087 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 1.087 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.087 * [backup-simplify]: Simplify 0 into 0 1.087 * [backup-simplify]: Simplify 1 into 1 1.087 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.087 * [backup-simplify]: Simplify lambda2 into lambda2 1.088 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.088 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 1.088 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 1.088 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 1.088 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 1.088 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 1.088 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.088 * [backup-simplify]: Simplify 0 into 0 1.088 * [backup-simplify]: Simplify 1 into 1 1.088 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.088 * [backup-simplify]: Simplify lambda2 into lambda2 1.088 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.088 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 1.088 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 1.088 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 1.090 * [backup-simplify]: Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2)) 1.090 * [backup-simplify]: Simplify (* (sin (- lambda2)) 0) into 0 1.090 * [backup-simplify]: Simplify (- 0) into 0 1.090 * [backup-simplify]: Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2)) 1.090 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 1.090 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.090 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.090 * [backup-simplify]: Simplify 0 into 0 1.090 * [backup-simplify]: Simplify 1 into 1 1.091 * [backup-simplify]: Simplify (- 0) into 0 1.091 * [backup-simplify]: Simplify (- 1) into -1 1.091 * [backup-simplify]: Simplify 1 into 1 1.093 * [backup-simplify]: Simplify (+ 0) into 0 1.093 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (* 0 1)) into 0 1.094 * [backup-simplify]: Simplify (- 0) into 0 1.094 * [backup-simplify]: Simplify (+ 1 0) into 1 1.094 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.095 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 1) (* 0 0)) into (sin (- lambda2)) 1.095 * [backup-simplify]: Simplify (- (sin (- lambda2))) into (- (sin (- lambda2))) 1.095 * [backup-simplify]: Simplify (+ 0 (- (sin (- lambda2)))) into (- (sin (- lambda2))) 1.095 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 1.095 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.095 * [taylor]: Taking taylor expansion of (- 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 1.095 * [backup-simplify]: Simplify (- 0) into 0 1.095 * [backup-simplify]: Simplify (- 1) into -1 1.096 * [backup-simplify]: Simplify (- 0) into 0 1.096 * [backup-simplify]: Simplify 0 into 0 1.096 * [backup-simplify]: Simplify (+ 0) into 0 1.096 * [backup-simplify]: Simplify 0 into 0 1.097 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.098 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (- lambda2)))) 1.098 * [backup-simplify]: Simplify (- 0) into 0 1.098 * [backup-simplify]: Simplify (+ 0 0) into 0 1.099 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.099 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 1) (* 0 0))) into 0 1.099 * [backup-simplify]: Simplify (- 0) into 0 1.099 * [backup-simplify]: Simplify (+ (- (* 1/2 (cos (- lambda2)))) 0) into (- (* 1/2 (cos (- lambda2)))) 1.099 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 1.099 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 1.100 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.100 * [backup-simplify]: Simplify 1/2 into 1/2 1.100 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 1.100 * [taylor]: Taking taylor expansion of (- 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 (- 0) into 0 1.100 * [backup-simplify]: Simplify (- 1) into -1 1.101 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.101 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.101 * [backup-simplify]: Simplify -1/2 into -1/2 1.101 * [backup-simplify]: Simplify (- 1) into -1 1.102 * [backup-simplify]: Simplify (+ (* 1 (/ (pow -1 1) 1))) into -1 1.103 * [backup-simplify]: Simplify (- -1) into 1 1.103 * [backup-simplify]: Simplify 1 into 1 1.103 * [backup-simplify]: Simplify (+ (* 1 (* lambda2 lambda1)) (+ (* -1/2 (pow (* 1 lambda1) 2)) 1)) into (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) 1.104 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.104 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.104 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 1.104 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 1.104 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.104 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.104 * [backup-simplify]: Simplify lambda1 into lambda1 1.104 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.104 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.104 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.104 * [backup-simplify]: Simplify 0 into 0 1.104 * [backup-simplify]: Simplify 1 into 1 1.105 * [backup-simplify]: Simplify (/ 1 1) into 1 1.105 * [backup-simplify]: Simplify (- 1) into -1 1.106 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.106 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.106 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 1.106 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 1.106 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.106 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.106 * [backup-simplify]: Simplify 0 into 0 1.106 * [backup-simplify]: Simplify 1 into 1 1.106 * [backup-simplify]: Simplify (/ 1 1) into 1 1.106 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.106 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.106 * [backup-simplify]: Simplify lambda2 into lambda2 1.107 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.107 * [backup-simplify]: Simplify (+ 1 0) into 1 1.107 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.107 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 1.107 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 1.107 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.107 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [backup-simplify]: Simplify 1 into 1 1.108 * [backup-simplify]: Simplify (/ 1 1) into 1 1.108 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.108 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.108 * [backup-simplify]: Simplify lambda2 into lambda2 1.108 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.108 * [backup-simplify]: Simplify (+ 1 0) into 1 1.108 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.108 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 1.109 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 1.109 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.109 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.109 * [backup-simplify]: Simplify lambda1 into lambda1 1.109 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.109 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.109 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.109 * [backup-simplify]: Simplify 0 into 0 1.109 * [backup-simplify]: Simplify 1 into 1 1.109 * [backup-simplify]: Simplify (/ 1 1) into 1 1.110 * [backup-simplify]: Simplify (- 1) into -1 1.110 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.110 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.110 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 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 lambda2 1.110 * [backup-simplify]: Simplify 0 into 0 1.111 * [backup-simplify]: Simplify 0 into 0 1.111 * [backup-simplify]: Simplify 0 into 0 1.111 * [backup-simplify]: Simplify 0 into 0 1.111 * [taylor]: Taking taylor expansion of 0 in lambda2 1.111 * [backup-simplify]: Simplify 0 into 0 1.111 * [backup-simplify]: Simplify 0 into 0 1.111 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) into (cos (- lambda1 lambda2)) 1.111 * [backup-simplify]: Simplify (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.111 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 1.111 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 1.111 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 1.111 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.111 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.111 * [backup-simplify]: Simplify 0 into 0 1.111 * [backup-simplify]: Simplify 1 into 1 1.112 * [backup-simplify]: Simplify (/ 1 1) into 1 1.112 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.112 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.112 * [backup-simplify]: Simplify lambda1 into lambda1 1.112 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.113 * [backup-simplify]: Simplify (+ 1 0) into 1 1.113 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.113 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 1.113 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 1.113 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.113 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.113 * [backup-simplify]: Simplify lambda2 into lambda2 1.113 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.113 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.113 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.113 * [backup-simplify]: Simplify 0 into 0 1.113 * [backup-simplify]: Simplify 1 into 1 1.113 * [backup-simplify]: Simplify (/ 1 1) into 1 1.114 * [backup-simplify]: Simplify (- 1) into -1 1.114 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.114 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.114 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 1.114 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 1.114 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.114 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.114 * [backup-simplify]: Simplify lambda2 into lambda2 1.115 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.115 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.115 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.115 * [backup-simplify]: Simplify 0 into 0 1.115 * [backup-simplify]: Simplify 1 into 1 1.115 * [backup-simplify]: Simplify (/ 1 1) into 1 1.115 * [backup-simplify]: Simplify (- 1) into -1 1.116 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.116 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.116 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 1.116 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 1.116 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.116 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.116 * [backup-simplify]: Simplify 0 into 0 1.116 * [backup-simplify]: Simplify 1 into 1 1.117 * [backup-simplify]: Simplify (/ 1 1) into 1 1.117 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.117 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.117 * [backup-simplify]: Simplify lambda1 into lambda1 1.117 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.117 * [backup-simplify]: Simplify (+ 1 0) into 1 1.117 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.117 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.118 * [taylor]: Taking taylor expansion of 0 in lambda2 1.118 * [backup-simplify]: Simplify 0 into 0 1.118 * [backup-simplify]: Simplify 0 into 0 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 * [backup-simplify]: Simplify 0 into 0 1.118 * [backup-simplify]: Simplify 0 into 0 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 * [backup-simplify]: Simplify 0 into 0 1.118 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))) into (cos (- lambda1 lambda2)) 1.118 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.118 * [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)))) 1.119 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in (phi1 phi2 lambda1 lambda2) around 0 1.119 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 1.121 * [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)))) 1.121 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 1.121 * [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)))) 1.121 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 1.121 * [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)))) 1.121 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 1.122 * [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)))) 1.122 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 1.122 * [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)))) 1.122 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 1.122 * [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)))) 1.122 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 1.123 * [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)))) 1.123 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 1.123 * [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)))) 1.123 * [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)))) 1.123 * [taylor]: Taking taylor expansion of 0 in phi2 1.123 * [backup-simplify]: Simplify 0 into 0 1.123 * [taylor]: Taking taylor expansion of 0 in lambda1 1.124 * [backup-simplify]: Simplify 0 into 0 1.124 * [taylor]: Taking taylor expansion of 0 in lambda2 1.124 * [backup-simplify]: Simplify 0 into 0 1.124 * [backup-simplify]: Simplify 0 into 0 1.124 * [taylor]: Taking taylor expansion of 0 in lambda1 1.124 * [backup-simplify]: Simplify 0 into 0 1.124 * [taylor]: Taking taylor expansion of 0 in lambda2 1.124 * [backup-simplify]: Simplify 0 into 0 1.124 * [backup-simplify]: Simplify 0 into 0 1.124 * [taylor]: Taking taylor expansion of 0 in lambda2 1.124 * [backup-simplify]: Simplify 0 into 0 1.124 * [backup-simplify]: Simplify 0 into 0 1.124 * [backup-simplify]: Simplify 0 into 0 1.124 * [taylor]: Taking taylor expansion of 0 in phi2 1.124 * [backup-simplify]: Simplify 0 into 0 1.124 * [taylor]: Taking taylor expansion of 0 in lambda1 1.124 * [backup-simplify]: Simplify 0 into 0 1.124 * [taylor]: Taking taylor expansion of 0 in lambda2 1.124 * [backup-simplify]: Simplify 0 into 0 1.124 * [backup-simplify]: Simplify 0 into 0 1.124 * [taylor]: Taking taylor expansion of 0 in lambda1 1.124 * [backup-simplify]: Simplify 0 into 0 1.124 * [taylor]: Taking taylor expansion of 0 in lambda2 1.124 * [backup-simplify]: Simplify 0 into 0 1.124 * [backup-simplify]: Simplify 0 into 0 1.125 * [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)))) 1.125 * [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)))))) 1.125 * [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 1.125 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda2 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)))))) 1.126 * [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 (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 (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi1 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 (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi1 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 (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi2 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 * [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 1.128 * [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 * [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 1.129 * [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)))))) 1.129 * [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)))))) 1.129 * [taylor]: Taking taylor expansion of 0 in phi2 1.129 * [backup-simplify]: Simplify 0 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 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [taylor]: Taking taylor expansion of 0 in lambda1 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [taylor]: Taking taylor expansion of 0 in lambda2 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [taylor]: Taking taylor expansion of 0 in lambda2 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [taylor]: Taking taylor expansion of 0 in phi2 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [taylor]: Taking taylor expansion of 0 in lambda1 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [taylor]: Taking taylor expansion of 0 in lambda2 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [taylor]: Taking taylor expansion of 0 in lambda1 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [taylor]: Taking taylor expansion of 0 in lambda2 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [backup-simplify]: Simplify 0 into 0 1.131 * [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)))) 1.131 * [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))))))) 1.131 * [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 1.131 * [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 1.132 * [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))))))) 1.132 * [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 1.133 * [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))))))) 1.133 * [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 1.133 * [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))))))) 1.133 * [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 1.134 * [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))))))) 1.134 * [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 1.134 * [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))))))) 1.134 * [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 1.135 * [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 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda1 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 (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 * [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 0 in phi2 1.136 * [backup-simplify]: Simplify 0 into 0 1.136 * [taylor]: Taking taylor expansion of 0 in lambda1 1.136 * [backup-simplify]: Simplify 0 into 0 1.136 * [taylor]: Taking taylor expansion of 0 in lambda2 1.136 * [backup-simplify]: Simplify 0 into 0 1.136 * [backup-simplify]: Simplify 0 into 0 1.136 * [taylor]: Taking taylor expansion of 0 in lambda1 1.136 * [backup-simplify]: Simplify 0 into 0 1.136 * [taylor]: Taking taylor expansion of 0 in lambda2 1.136 * [backup-simplify]: Simplify 0 into 0 1.136 * [backup-simplify]: Simplify 0 into 0 1.136 * [taylor]: Taking taylor expansion of 0 in lambda2 1.136 * [backup-simplify]: Simplify 0 into 0 1.137 * [backup-simplify]: Simplify 0 into 0 1.137 * [backup-simplify]: Simplify 0 into 0 1.137 * [taylor]: Taking taylor expansion of 0 in phi2 1.137 * [backup-simplify]: Simplify 0 into 0 1.137 * [taylor]: Taking taylor expansion of 0 in lambda1 1.137 * [backup-simplify]: Simplify 0 into 0 1.137 * [taylor]: Taking taylor expansion of 0 in lambda2 1.137 * [backup-simplify]: Simplify 0 into 0 1.137 * [backup-simplify]: Simplify 0 into 0 1.137 * [taylor]: Taking taylor expansion of 0 in lambda1 1.137 * [backup-simplify]: Simplify 0 into 0 1.137 * [taylor]: Taking taylor expansion of 0 in lambda2 1.137 * [backup-simplify]: Simplify 0 into 0 1.137 * [backup-simplify]: Simplify 0 into 0 1.137 * [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)))) 1.137 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.137 * [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) 1.137 * [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 1.137 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in R 1.137 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in R 1.138 * [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)))) 1.138 * [taylor]: Taking taylor expansion of R in R 1.138 * [backup-simplify]: Simplify 0 into 0 1.138 * [backup-simplify]: Simplify 1 into 1 1.138 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda2 1.138 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 1.138 * [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)))) 1.138 * [taylor]: Taking taylor expansion of R in lambda2 1.138 * [backup-simplify]: Simplify R into R 1.138 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda1 1.138 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 1.138 * [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)))) 1.138 * [taylor]: Taking taylor expansion of R in lambda1 1.138 * [backup-simplify]: Simplify R into R 1.138 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi2 1.138 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 1.138 * [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)))) 1.138 * [taylor]: Taking taylor expansion of R in phi2 1.138 * [backup-simplify]: Simplify R into R 1.138 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi1 1.138 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 1.139 * [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)))) 1.139 * [taylor]: Taking taylor expansion of R in phi1 1.139 * [backup-simplify]: Simplify R into R 1.139 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi1 1.139 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 1.139 * [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)))) 1.139 * [taylor]: Taking taylor expansion of R in phi1 1.139 * [backup-simplify]: Simplify R into R 1.139 * [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) 1.139 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi2 1.139 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 1.139 * [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)))) 1.139 * [taylor]: Taking taylor expansion of R in phi2 1.139 * [backup-simplify]: Simplify R into R 1.139 * [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) 1.139 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda1 1.139 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 1.140 * [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)))) 1.140 * [taylor]: Taking taylor expansion of R in lambda1 1.140 * [backup-simplify]: Simplify R into R 1.140 * [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) 1.140 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda2 1.140 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 1.140 * [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)))) 1.140 * [taylor]: Taking taylor expansion of R in lambda2 1.140 * [backup-simplify]: Simplify R into R 1.140 * [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) 1.140 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in R 1.140 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in R 1.140 * [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)))) 1.140 * [taylor]: Taking taylor expansion of R in R 1.140 * [backup-simplify]: Simplify 0 into 0 1.140 * [backup-simplify]: Simplify 1 into 1 1.141 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) into 0 1.141 * [backup-simplify]: Simplify 0 into 0 1.141 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 1.141 * [taylor]: Taking taylor expansion of 0 in phi2 1.141 * [backup-simplify]: Simplify 0 into 0 1.141 * [taylor]: Taking taylor expansion of 0 in lambda1 1.141 * [backup-simplify]: Simplify 0 into 0 1.141 * [taylor]: Taking taylor expansion of 0 in lambda2 1.141 * [backup-simplify]: Simplify 0 into 0 1.141 * [taylor]: Taking taylor expansion of 0 in R 1.141 * [backup-simplify]: Simplify 0 into 0 1.141 * [backup-simplify]: Simplify 0 into 0 1.141 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 1.141 * [taylor]: Taking taylor expansion of 0 in lambda1 1.141 * [backup-simplify]: Simplify 0 into 0 1.141 * [taylor]: Taking taylor expansion of 0 in lambda2 1.141 * [backup-simplify]: Simplify 0 into 0 1.141 * [taylor]: Taking taylor expansion of 0 in R 1.141 * [backup-simplify]: Simplify 0 into 0 1.141 * [backup-simplify]: Simplify 0 into 0 1.141 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 1.142 * [taylor]: Taking taylor expansion of 0 in lambda2 1.142 * [backup-simplify]: Simplify 0 into 0 1.142 * [taylor]: Taking taylor expansion of 0 in R 1.142 * [backup-simplify]: Simplify 0 into 0 1.142 * [backup-simplify]: Simplify 0 into 0 1.142 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 1.142 * [taylor]: Taking taylor expansion of 0 in R 1.142 * [backup-simplify]: Simplify 0 into 0 1.142 * [backup-simplify]: Simplify 0 into 0 1.142 * [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)))) 1.143 * [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)))) 1.143 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0 1.143 * [taylor]: Taking taylor expansion of 0 in phi2 1.143 * [backup-simplify]: Simplify 0 into 0 1.143 * [taylor]: Taking taylor expansion of 0 in lambda1 1.143 * [backup-simplify]: Simplify 0 into 0 1.143 * [taylor]: Taking taylor expansion of 0 in lambda2 1.143 * [backup-simplify]: Simplify 0 into 0 1.143 * [taylor]: Taking taylor expansion of 0 in R 1.143 * [backup-simplify]: Simplify 0 into 0 1.143 * [backup-simplify]: Simplify 0 into 0 1.143 * [taylor]: Taking taylor expansion of 0 in lambda1 1.143 * [backup-simplify]: Simplify 0 into 0 1.144 * [taylor]: Taking taylor expansion of 0 in lambda2 1.144 * [backup-simplify]: Simplify 0 into 0 1.144 * [taylor]: Taking taylor expansion of 0 in R 1.144 * [backup-simplify]: Simplify 0 into 0 1.144 * [backup-simplify]: Simplify 0 into 0 1.144 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0 1.144 * [taylor]: Taking taylor expansion of 0 in lambda1 1.144 * [backup-simplify]: Simplify 0 into 0 1.144 * [taylor]: Taking taylor expansion of 0 in lambda2 1.144 * [backup-simplify]: Simplify 0 into 0 1.144 * [taylor]: Taking taylor expansion of 0 in R 1.144 * [backup-simplify]: Simplify 0 into 0 1.144 * [backup-simplify]: Simplify 0 into 0 1.144 * [taylor]: Taking taylor expansion of 0 in lambda2 1.144 * [backup-simplify]: Simplify 0 into 0 1.144 * [taylor]: Taking taylor expansion of 0 in R 1.144 * [backup-simplify]: Simplify 0 into 0 1.144 * [backup-simplify]: Simplify 0 into 0 1.144 * [taylor]: Taking taylor expansion of 0 in lambda2 1.144 * [backup-simplify]: Simplify 0 into 0 1.144 * [taylor]: Taking taylor expansion of 0 in R 1.144 * [backup-simplify]: Simplify 0 into 0 1.144 * [backup-simplify]: Simplify 0 into 0 1.145 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0 1.145 * [taylor]: Taking taylor expansion of 0 in lambda2 1.145 * [backup-simplify]: Simplify 0 into 0 1.145 * [taylor]: Taking taylor expansion of 0 in R 1.145 * [backup-simplify]: Simplify 0 into 0 1.145 * [backup-simplify]: Simplify 0 into 0 1.145 * [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) 1.146 * [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) 1.146 * [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 1.146 * [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 1.146 * [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 1.146 * [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)))))) 1.146 * [taylor]: Taking taylor expansion of R in R 1.146 * [backup-simplify]: Simplify 0 into 0 1.146 * [backup-simplify]: Simplify 1 into 1 1.146 * [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)))))) 1.147 * [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 1.147 * [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 1.147 * [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)))))) 1.147 * [taylor]: Taking taylor expansion of R in lambda2 1.147 * [backup-simplify]: Simplify R into R 1.147 * [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) 1.147 * [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 1.147 * [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 1.147 * [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)))))) 1.147 * [taylor]: Taking taylor expansion of R in lambda1 1.147 * [backup-simplify]: Simplify R into R 1.148 * [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) 1.148 * [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 1.148 * [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 1.148 * [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)))))) 1.148 * [taylor]: Taking taylor expansion of R in phi2 1.148 * [backup-simplify]: Simplify R into R 1.148 * [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) 1.148 * [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 1.148 * [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 1.148 * [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)))))) 1.148 * [taylor]: Taking taylor expansion of R in phi1 1.148 * [backup-simplify]: Simplify R into R 1.149 * [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) 1.149 * [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 1.149 * [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 1.149 * [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)))))) 1.149 * [taylor]: Taking taylor expansion of R in phi1 1.149 * [backup-simplify]: Simplify R into R 1.149 * [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) 1.149 * [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 1.149 * [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 1.150 * [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)))))) 1.150 * [taylor]: Taking taylor expansion of R in phi2 1.150 * [backup-simplify]: Simplify R into R 1.150 * [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) 1.150 * [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 1.150 * [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 1.150 * [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)))))) 1.150 * [taylor]: Taking taylor expansion of R in lambda1 1.150 * [backup-simplify]: Simplify R into R 1.151 * [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) 1.151 * [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 1.151 * [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 1.151 * [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)))))) 1.151 * [taylor]: Taking taylor expansion of R in lambda2 1.151 * [backup-simplify]: Simplify R into R 1.151 * [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) 1.151 * [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 1.151 * [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 1.152 * [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)))))) 1.152 * [taylor]: Taking taylor expansion of R in R 1.152 * [backup-simplify]: Simplify 0 into 0 1.152 * [backup-simplify]: Simplify 1 into 1 1.152 * [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)))))) 1.152 * [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)))))) 1.153 * [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 1.153 * [taylor]: Taking taylor expansion of 0 in phi2 1.153 * [backup-simplify]: Simplify 0 into 0 1.153 * [taylor]: Taking taylor expansion of 0 in lambda1 1.153 * [backup-simplify]: Simplify 0 into 0 1.153 * [taylor]: Taking taylor expansion of 0 in lambda2 1.153 * [backup-simplify]: Simplify 0 into 0 1.153 * [taylor]: Taking taylor expansion of 0 in R 1.153 * [backup-simplify]: Simplify 0 into 0 1.153 * [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 1.153 * [taylor]: Taking taylor expansion of 0 in lambda1 1.153 * [backup-simplify]: Simplify 0 into 0 1.153 * [taylor]: Taking taylor expansion of 0 in lambda2 1.153 * [backup-simplify]: Simplify 0 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 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)))) into 0 1.154 * [taylor]: Taking taylor expansion of 0 in lambda2 1.154 * [backup-simplify]: Simplify 0 into 0 1.154 * [taylor]: Taking taylor expansion of 0 in R 1.154 * [backup-simplify]: Simplify 0 into 0 1.154 * [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 1.154 * [taylor]: Taking taylor expansion of 0 in R 1.154 * [backup-simplify]: Simplify 0 into 0 1.155 * [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 1.155 * [backup-simplify]: Simplify 0 into 0 1.156 * [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 1.156 * [taylor]: Taking taylor expansion of 0 in phi2 1.156 * [backup-simplify]: Simplify 0 into 0 1.156 * [taylor]: Taking taylor expansion of 0 in lambda1 1.156 * [backup-simplify]: Simplify 0 into 0 1.156 * [taylor]: Taking taylor expansion of 0 in lambda2 1.156 * [backup-simplify]: Simplify 0 into 0 1.156 * [taylor]: Taking taylor expansion of 0 in R 1.156 * [backup-simplify]: Simplify 0 into 0 1.156 * [taylor]: Taking taylor expansion of 0 in lambda1 1.156 * [backup-simplify]: Simplify 0 into 0 1.156 * [taylor]: Taking taylor expansion of 0 in lambda2 1.156 * [backup-simplify]: Simplify 0 into 0 1.156 * [taylor]: Taking taylor expansion of 0 in R 1.156 * [backup-simplify]: Simplify 0 into 0 1.156 * [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 1.156 * [taylor]: Taking taylor expansion of 0 in lambda1 1.156 * [backup-simplify]: Simplify 0 into 0 1.156 * [taylor]: Taking taylor expansion of 0 in lambda2 1.156 * [backup-simplify]: Simplify 0 into 0 1.156 * [taylor]: Taking taylor expansion of 0 in R 1.156 * [backup-simplify]: Simplify 0 into 0 1.156 * [taylor]: Taking taylor expansion of 0 in lambda2 1.156 * [backup-simplify]: Simplify 0 into 0 1.156 * [taylor]: Taking taylor expansion of 0 in R 1.156 * [backup-simplify]: Simplify 0 into 0 1.156 * [taylor]: Taking taylor expansion of 0 in lambda2 1.156 * [backup-simplify]: Simplify 0 into 0 1.156 * [taylor]: Taking taylor expansion of 0 in R 1.156 * [backup-simplify]: Simplify 0 into 0 1.157 * [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 1.157 * [taylor]: Taking taylor expansion of 0 in lambda2 1.157 * [backup-simplify]: Simplify 0 into 0 1.157 * [taylor]: Taking taylor expansion of 0 in R 1.157 * [backup-simplify]: Simplify 0 into 0 1.157 * [taylor]: Taking taylor expansion of 0 in R 1.157 * [backup-simplify]: Simplify 0 into 0 1.157 * [taylor]: Taking taylor expansion of 0 in R 1.157 * [backup-simplify]: Simplify 0 into 0 1.157 * [taylor]: Taking taylor expansion of 0 in R 1.157 * [backup-simplify]: Simplify 0 into 0 1.157 * [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 1.157 * [taylor]: Taking taylor expansion of 0 in R 1.157 * [backup-simplify]: Simplify 0 into 0 1.157 * [backup-simplify]: Simplify 0 into 0 1.157 * [backup-simplify]: Simplify 0 into 0 1.157 * [backup-simplify]: Simplify 0 into 0 1.157 * [backup-simplify]: Simplify 0 into 0 1.159 * [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 1.159 * [backup-simplify]: Simplify 0 into 0 1.159 * [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) 1.160 * [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)) 1.160 * [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 1.160 * [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 1.160 * [taylor]: Taking taylor expansion of -1 in R 1.160 * [backup-simplify]: Simplify -1 into -1 1.160 * [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 1.160 * [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 1.160 * [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))))))) 1.160 * [taylor]: Taking taylor expansion of R in R 1.160 * [backup-simplify]: Simplify 0 into 0 1.160 * [backup-simplify]: Simplify 1 into 1 1.160 * [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))))))) 1.160 * [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 1.160 * [taylor]: Taking taylor expansion of -1 in lambda2 1.160 * [backup-simplify]: Simplify -1 into -1 1.160 * [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 1.160 * [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 1.161 * [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))))))) 1.161 * [taylor]: Taking taylor expansion of R in lambda2 1.161 * [backup-simplify]: Simplify R into R 1.161 * [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) 1.161 * [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 1.161 * [taylor]: Taking taylor expansion of -1 in lambda1 1.161 * [backup-simplify]: Simplify -1 into -1 1.161 * [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 1.161 * [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 1.161 * [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))))))) 1.161 * [taylor]: Taking taylor expansion of R in lambda1 1.161 * [backup-simplify]: Simplify R into R 1.162 * [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) 1.162 * [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 1.162 * [taylor]: Taking taylor expansion of -1 in phi2 1.162 * [backup-simplify]: Simplify -1 into -1 1.162 * [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 1.162 * [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 1.162 * [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))))))) 1.162 * [taylor]: Taking taylor expansion of R in phi2 1.162 * [backup-simplify]: Simplify R into R 1.162 * [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) 1.162 * [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 1.162 * [taylor]: Taking taylor expansion of -1 in phi1 1.162 * [backup-simplify]: Simplify -1 into -1 1.162 * [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 1.162 * [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 1.162 * [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))))))) 1.162 * [taylor]: Taking taylor expansion of R in phi1 1.162 * [backup-simplify]: Simplify R into R 1.163 * [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) 1.163 * [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 1.163 * [taylor]: Taking taylor expansion of -1 in phi1 1.163 * [backup-simplify]: Simplify -1 into -1 1.163 * [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 1.163 * [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 1.163 * [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))))))) 1.163 * [taylor]: Taking taylor expansion of R in phi1 1.163 * [backup-simplify]: Simplify R into R 1.163 * [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) 1.164 * [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)) 1.164 * [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 1.164 * [taylor]: Taking taylor expansion of -1 in phi2 1.164 * [backup-simplify]: Simplify -1 into -1 1.164 * [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 1.164 * [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 1.164 * [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))))))) 1.164 * [taylor]: Taking taylor expansion of R in phi2 1.164 * [backup-simplify]: Simplify R into R 1.164 * [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) 1.165 * [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)) 1.165 * [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 1.165 * [taylor]: Taking taylor expansion of -1 in lambda1 1.165 * [backup-simplify]: Simplify -1 into -1 1.165 * [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 1.165 * [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 1.165 * [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))))))) 1.165 * [taylor]: Taking taylor expansion of R in lambda1 1.165 * [backup-simplify]: Simplify R into R 1.165 * [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) 1.165 * [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)) 1.165 * [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 1.165 * [taylor]: Taking taylor expansion of -1 in lambda2 1.165 * [backup-simplify]: Simplify -1 into -1 1.165 * [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 1.165 * [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 1.166 * [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))))))) 1.166 * [taylor]: Taking taylor expansion of R in lambda2 1.166 * [backup-simplify]: Simplify R into R 1.166 * [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) 1.166 * [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)) 1.166 * [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 1.166 * [taylor]: Taking taylor expansion of -1 in R 1.166 * [backup-simplify]: Simplify -1 into -1 1.166 * [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 1.166 * [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 1.167 * [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))))))) 1.167 * [taylor]: Taking taylor expansion of R in R 1.167 * [backup-simplify]: Simplify 0 into 0 1.167 * [backup-simplify]: Simplify 1 into 1 1.167 * [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))))))) 1.167 * [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)))))))) 1.167 * [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)))))))) 1.168 * [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 1.168 * [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 1.168 * [taylor]: Taking taylor expansion of 0 in phi2 1.169 * [backup-simplify]: Simplify 0 into 0 1.169 * [taylor]: Taking taylor expansion of 0 in lambda1 1.169 * [backup-simplify]: Simplify 0 into 0 1.169 * [taylor]: Taking taylor expansion of 0 in lambda2 1.169 * [backup-simplify]: Simplify 0 into 0 1.169 * [taylor]: Taking taylor expansion of 0 in R 1.169 * [backup-simplify]: Simplify 0 into 0 1.169 * [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 1.170 * [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 1.170 * [taylor]: Taking taylor expansion of 0 in lambda1 1.170 * [backup-simplify]: Simplify 0 into 0 1.170 * [taylor]: Taking taylor expansion of 0 in lambda2 1.170 * [backup-simplify]: Simplify 0 into 0 1.170 * [taylor]: Taking taylor expansion of 0 in R 1.170 * [backup-simplify]: Simplify 0 into 0 1.170 * [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 1.171 * [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 1.171 * [taylor]: Taking taylor expansion of 0 in lambda2 1.171 * [backup-simplify]: Simplify 0 into 0 1.171 * [taylor]: Taking taylor expansion of 0 in R 1.171 * [backup-simplify]: Simplify 0 into 0 1.171 * [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 1.171 * [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 1.172 * [taylor]: Taking taylor expansion of 0 in R 1.172 * [backup-simplify]: Simplify 0 into 0 1.172 * [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 1.173 * [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 1.173 * [backup-simplify]: Simplify 0 into 0 1.173 * [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 1.174 * [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 1.174 * [taylor]: Taking taylor expansion of 0 in phi2 1.174 * [backup-simplify]: Simplify 0 into 0 1.174 * [taylor]: Taking taylor expansion of 0 in lambda1 1.174 * [backup-simplify]: Simplify 0 into 0 1.174 * [taylor]: Taking taylor expansion of 0 in lambda2 1.174 * [backup-simplify]: Simplify 0 into 0 1.174 * [taylor]: Taking taylor expansion of 0 in R 1.174 * [backup-simplify]: Simplify 0 into 0 1.174 * [taylor]: Taking taylor expansion of 0 in lambda1 1.174 * [backup-simplify]: Simplify 0 into 0 1.174 * [taylor]: Taking taylor expansion of 0 in lambda2 1.174 * [backup-simplify]: Simplify 0 into 0 1.174 * [taylor]: Taking taylor expansion of 0 in R 1.174 * [backup-simplify]: Simplify 0 into 0 1.175 * [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 1.176 * [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 1.176 * [taylor]: Taking taylor expansion of 0 in lambda1 1.176 * [backup-simplify]: Simplify 0 into 0 1.176 * [taylor]: Taking taylor expansion of 0 in lambda2 1.176 * [backup-simplify]: Simplify 0 into 0 1.176 * [taylor]: Taking taylor expansion of 0 in R 1.176 * [backup-simplify]: Simplify 0 into 0 1.176 * [taylor]: Taking taylor expansion of 0 in lambda2 1.176 * [backup-simplify]: Simplify 0 into 0 1.176 * [taylor]: Taking taylor expansion of 0 in R 1.176 * [backup-simplify]: Simplify 0 into 0 1.176 * [taylor]: Taking taylor expansion of 0 in lambda2 1.176 * [backup-simplify]: Simplify 0 into 0 1.176 * [taylor]: Taking taylor expansion of 0 in R 1.176 * [backup-simplify]: Simplify 0 into 0 1.176 * [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 1.177 * [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 1.177 * [taylor]: Taking taylor expansion of 0 in lambda2 1.177 * [backup-simplify]: Simplify 0 into 0 1.177 * [taylor]: Taking taylor expansion of 0 in R 1.177 * [backup-simplify]: Simplify 0 into 0 1.177 * [taylor]: Taking taylor expansion of 0 in R 1.177 * [backup-simplify]: Simplify 0 into 0 1.177 * [taylor]: Taking taylor expansion of 0 in R 1.177 * [backup-simplify]: Simplify 0 into 0 1.177 * [taylor]: Taking taylor expansion of 0 in R 1.177 * [backup-simplify]: Simplify 0 into 0 1.177 * [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 1.178 * [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 1.178 * [taylor]: Taking taylor expansion of 0 in R 1.178 * [backup-simplify]: Simplify 0 into 0 1.178 * [backup-simplify]: Simplify 0 into 0 1.178 * [backup-simplify]: Simplify 0 into 0 1.178 * [backup-simplify]: Simplify 0 into 0 1.178 * [backup-simplify]: Simplify 0 into 0 1.180 * [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 1.180 * [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 1.180 * [backup-simplify]: Simplify 0 into 0 1.181 * [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) 1.181 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.181 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2)) 1.181 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 1.181 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 1.181 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 1.181 * [taylor]: Taking taylor expansion of phi1 in phi2 1.181 * [backup-simplify]: Simplify phi1 into phi1 1.181 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 1.181 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 1.181 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.182 * [taylor]: Taking taylor expansion of phi2 in phi2 1.182 * [backup-simplify]: Simplify 0 into 0 1.182 * [backup-simplify]: Simplify 1 into 1 1.182 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.182 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.182 * [taylor]: Taking taylor expansion of phi1 in phi1 1.182 * [backup-simplify]: Simplify 0 into 0 1.182 * [backup-simplify]: Simplify 1 into 1 1.182 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.182 * [taylor]: Taking taylor expansion of phi2 in phi1 1.182 * [backup-simplify]: Simplify phi2 into phi2 1.182 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 1.182 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 1.182 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.182 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.182 * [taylor]: Taking taylor expansion of phi1 in phi1 1.182 * [backup-simplify]: Simplify 0 into 0 1.182 * [backup-simplify]: Simplify 1 into 1 1.182 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.182 * [taylor]: Taking taylor expansion of phi2 in phi1 1.182 * [backup-simplify]: Simplify phi2 into phi2 1.182 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 1.182 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 1.188 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 1.188 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 1.188 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 1.188 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 1.188 * [taylor]: Taking taylor expansion of 0 in phi2 1.188 * [backup-simplify]: Simplify 0 into 0 1.188 * [backup-simplify]: Simplify 0 into 0 1.189 * [backup-simplify]: Simplify (+ 0) into 0 1.189 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 1.190 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.190 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 1.190 * [backup-simplify]: Simplify (+ 0 0) into 0 1.191 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.191 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 1.191 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.191 * [taylor]: Taking taylor expansion of phi2 in phi2 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 0 into 0 1.192 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.192 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 1.192 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.193 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 1.193 * [backup-simplify]: Simplify (+ 0 0) into 0 1.194 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.194 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 1.194 * [taylor]: Taking taylor expansion of 0 in phi2 1.194 * [backup-simplify]: Simplify 0 into 0 1.194 * [backup-simplify]: Simplify 0 into 0 1.195 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.195 * [backup-simplify]: Simplify 1 into 1 1.195 * [backup-simplify]: Simplify 0 into 0 1.196 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.196 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.197 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.198 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.198 * [backup-simplify]: Simplify (+ 0 0) into 0 1.199 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.200 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 1.200 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 1.200 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 1.200 * [taylor]: Taking taylor expansion of 1/6 in phi2 1.200 * [backup-simplify]: Simplify 1/6 into 1/6 1.200 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.200 * [taylor]: Taking taylor expansion of phi2 in phi2 1.200 * [backup-simplify]: Simplify 0 into 0 1.200 * [backup-simplify]: Simplify 1 into 1 1.200 * [backup-simplify]: Simplify (* 1/6 0) into 0 1.200 * [backup-simplify]: Simplify (- 0) into 0 1.200 * [backup-simplify]: Simplify 0 into 0 1.200 * [backup-simplify]: Simplify 0 into 0 1.201 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.201 * [backup-simplify]: Simplify 0 into 0 1.201 * [backup-simplify]: Simplify 0 into 0 1.202 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 1.203 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.204 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.204 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.205 * [backup-simplify]: Simplify (+ 0 0) into 0 1.206 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.207 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 1.207 * [taylor]: Taking taylor expansion of 0 in phi2 1.207 * [backup-simplify]: Simplify 0 into 0 1.207 * [backup-simplify]: Simplify 0 into 0 1.207 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2) 1.207 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 1.207 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0 1.207 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 1.207 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.207 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.207 * [taylor]: Taking taylor expansion of phi2 in phi2 1.207 * [backup-simplify]: Simplify 0 into 0 1.207 * [backup-simplify]: Simplify 1 into 1 1.207 * [backup-simplify]: Simplify (/ 1 1) into 1 1.207 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.207 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.207 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.207 * [taylor]: Taking taylor expansion of phi1 in phi2 1.207 * [backup-simplify]: Simplify phi1 into phi1 1.207 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.207 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.207 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.207 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 1.208 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.208 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.208 * [taylor]: Taking taylor expansion of phi2 in phi1 1.208 * [backup-simplify]: Simplify phi2 into phi2 1.208 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.208 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.208 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.208 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.208 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.208 * [taylor]: Taking taylor expansion of phi1 in phi1 1.208 * [backup-simplify]: Simplify 0 into 0 1.208 * [backup-simplify]: Simplify 1 into 1 1.208 * [backup-simplify]: Simplify (/ 1 1) into 1 1.208 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.208 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 1.208 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.208 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.208 * [taylor]: Taking taylor expansion of phi2 in phi1 1.208 * [backup-simplify]: Simplify phi2 into phi2 1.208 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.208 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.208 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.208 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.208 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.208 * [taylor]: Taking taylor expansion of phi1 in phi1 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 (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.209 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 1.209 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 1.209 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 1.209 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 1.209 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 1.209 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.209 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.209 * [taylor]: Taking taylor expansion of phi2 in phi2 1.209 * [backup-simplify]: Simplify 0 into 0 1.209 * [backup-simplify]: Simplify 1 into 1 1.209 * [backup-simplify]: Simplify (/ 1 1) into 1 1.209 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.209 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.209 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.209 * [taylor]: Taking taylor expansion of phi1 in phi2 1.209 * [backup-simplify]: Simplify phi1 into phi1 1.209 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.209 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.210 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.210 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 1.210 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 1.210 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 1.210 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 1.210 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 1.210 * [backup-simplify]: Simplify (+ 0) into 0 1.210 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 1.211 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.211 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.211 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 1.212 * [backup-simplify]: Simplify (+ 0 0) into 0 1.212 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 1.212 * [taylor]: Taking taylor expansion of 0 in phi2 1.212 * [backup-simplify]: Simplify 0 into 0 1.212 * [backup-simplify]: Simplify 0 into 0 1.212 * [backup-simplify]: Simplify (+ 0) into 0 1.212 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 1.213 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.213 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.213 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 1.214 * [backup-simplify]: Simplify (+ 0 0) into 0 1.214 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 1.214 * [backup-simplify]: Simplify 0 into 0 1.214 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.215 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.215 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.216 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.216 * [backup-simplify]: Simplify (+ 0 0) into 0 1.216 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 1.216 * [taylor]: Taking taylor expansion of 0 in phi2 1.216 * [backup-simplify]: Simplify 0 into 0 1.216 * [backup-simplify]: Simplify 0 into 0 1.216 * [backup-simplify]: Simplify 0 into 0 1.217 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.217 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 1.217 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.218 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.218 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 1.218 * [backup-simplify]: Simplify (+ 0 0) into 0 1.219 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 1.219 * [backup-simplify]: Simplify 0 into 0 1.219 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.220 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.220 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.221 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.222 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.222 * [backup-simplify]: Simplify (+ 0 0) into 0 1.222 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0 1.222 * [taylor]: Taking taylor expansion of 0 in phi2 1.222 * [backup-simplify]: Simplify 0 into 0 1.222 * [backup-simplify]: Simplify 0 into 0 1.222 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2)) 1.223 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.223 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 1.223 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.223 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.223 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.223 * [taylor]: Taking taylor expansion of -1 in phi2 1.223 * [backup-simplify]: Simplify -1 into -1 1.223 * [taylor]: Taking taylor expansion of phi1 in phi2 1.223 * [backup-simplify]: Simplify phi1 into phi1 1.223 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 1.223 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.223 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.223 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.223 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.223 * [taylor]: Taking taylor expansion of -1 in phi2 1.223 * [backup-simplify]: Simplify -1 into -1 1.223 * [taylor]: Taking taylor expansion of phi2 in phi2 1.223 * [backup-simplify]: Simplify 0 into 0 1.223 * [backup-simplify]: Simplify 1 into 1 1.223 * [backup-simplify]: Simplify (/ -1 1) into -1 1.223 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.223 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.223 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.223 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.223 * [taylor]: Taking taylor expansion of -1 in phi1 1.223 * [backup-simplify]: Simplify -1 into -1 1.223 * [taylor]: Taking taylor expansion of phi1 in phi1 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 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.224 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.224 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.224 * [taylor]: Taking taylor expansion of -1 in phi1 1.224 * [backup-simplify]: Simplify -1 into -1 1.224 * [taylor]: Taking taylor expansion of phi2 in phi1 1.224 * [backup-simplify]: Simplify phi2 into phi2 1.224 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 1.224 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.224 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.224 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.224 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.224 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.224 * [taylor]: Taking taylor expansion of -1 in phi1 1.224 * [backup-simplify]: Simplify -1 into -1 1.224 * [taylor]: Taking taylor expansion of phi1 in phi1 1.224 * [backup-simplify]: Simplify 0 into 0 1.224 * [backup-simplify]: Simplify 1 into 1 1.224 * [backup-simplify]: Simplify (/ -1 1) into -1 1.224 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.224 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.224 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.225 * [taylor]: Taking taylor expansion of -1 in phi1 1.225 * [backup-simplify]: Simplify -1 into -1 1.225 * [taylor]: Taking taylor expansion of phi2 in phi1 1.225 * [backup-simplify]: Simplify phi2 into phi2 1.225 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 1.225 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.225 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.225 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 1.225 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 1.225 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 1.225 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.225 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.225 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.225 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.225 * [taylor]: Taking taylor expansion of -1 in phi2 1.225 * [backup-simplify]: Simplify -1 into -1 1.225 * [taylor]: Taking taylor expansion of phi1 in phi2 1.225 * [backup-simplify]: Simplify phi1 into phi1 1.225 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 1.225 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.225 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.225 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.225 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.225 * [taylor]: Taking taylor expansion of -1 in phi2 1.225 * [backup-simplify]: Simplify -1 into -1 1.225 * [taylor]: Taking taylor expansion of phi2 in phi2 1.225 * [backup-simplify]: Simplify 0 into 0 1.225 * [backup-simplify]: Simplify 1 into 1 1.226 * [backup-simplify]: Simplify (/ -1 1) into -1 1.226 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.226 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 1.226 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 1.226 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 1.226 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.226 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.226 * [backup-simplify]: Simplify (+ 0) into 0 1.227 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 1.227 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 1.227 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.227 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 1.228 * [backup-simplify]: Simplify (+ 0 0) into 0 1.228 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 1.228 * [taylor]: Taking taylor expansion of 0 in phi2 1.228 * [backup-simplify]: Simplify 0 into 0 1.228 * [backup-simplify]: Simplify 0 into 0 1.228 * [backup-simplify]: Simplify (+ 0) into 0 1.228 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 1.228 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 1.229 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.229 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 1.229 * [backup-simplify]: Simplify (+ 0 0) into 0 1.230 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 1.230 * [backup-simplify]: Simplify 0 into 0 1.230 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.231 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.231 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.231 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.232 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.232 * [backup-simplify]: Simplify (+ 0 0) into 0 1.232 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 1.232 * [taylor]: Taking taylor expansion of 0 in phi2 1.232 * [backup-simplify]: Simplify 0 into 0 1.232 * [backup-simplify]: Simplify 0 into 0 1.232 * [backup-simplify]: Simplify 0 into 0 1.233 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.233 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 1.233 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.234 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.234 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 1.234 * [backup-simplify]: Simplify (+ 0 0) into 0 1.235 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 1.235 * [backup-simplify]: Simplify 0 into 0 1.235 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.236 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.236 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.238 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.238 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.239 * [backup-simplify]: Simplify (+ 0 0) into 0 1.240 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 1.240 * [taylor]: Taking taylor expansion of 0 in phi2 1.240 * [backup-simplify]: Simplify 0 into 0 1.240 * [backup-simplify]: Simplify 0 into 0 1.240 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 1.241 * * * [progress]: simplifying candidates 1.241 * * * * [progress]: [ 1 / 71 ] simplifiying candidate # 1.241 * * * * [progress]: [ 2 / 71 ] simplifiying candidate # 1.241 * * * * [progress]: [ 3 / 71 ] simplifiying candidate # 1.241 * * * * [progress]: [ 4 / 71 ] simplifiying candidate # 1.241 * * * * [progress]: [ 5 / 71 ] simplifiying candidate # 1.241 * * * * [progress]: [ 6 / 71 ] simplifiying candidate # 1.241 * * * * [progress]: [ 7 / 71 ] simplifiying candidate # 1.241 * * * * [progress]: [ 8 / 71 ] simplifiying candidate # 1.241 * * * * [progress]: [ 9 / 71 ] simplifiying candidate # 1.241 * * * * [progress]: [ 10 / 71 ] simplifiying candidate # 1.241 * * * * [progress]: [ 11 / 71 ] simplifiying candidate #real (real->posit16 (cos (- lambda1 lambda2))))))) R))> 1.242 * * * * [progress]: [ 12 / 71 ] simplifiying candidate # 1.242 * * * * [progress]: [ 13 / 71 ] simplifiying candidate # 1.242 * * * * [progress]: [ 14 / 71 ] simplifiying candidate # 1.242 * * * * [progress]: [ 15 / 71 ] simplifiying candidate # 1.242 * * * * [progress]: [ 16 / 71 ] simplifiying candidate # 1.242 * * * * [progress]: [ 17 / 71 ] simplifiying candidate # 1.242 * * * * [progress]: [ 18 / 71 ] simplifiying candidate # 1.242 * * * * [progress]: [ 19 / 71 ] simplifiying candidate # 1.242 * * * * [progress]: [ 20 / 71 ] simplifiying candidate #real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))> 1.242 * * * * [progress]: [ 21 / 71 ] simplifiying candidate # 1.242 * * * * [progress]: [ 22 / 71 ] simplifiying candidate # 1.242 * * * * [progress]: [ 23 / 71 ] simplifiying candidate # 1.242 * * * * [progress]: [ 24 / 71 ] simplifiying candidate # 1.242 * * * * [progress]: [ 25 / 71 ] simplifiying candidate # 1.242 * * * * [progress]: [ 26 / 71 ] simplifiying candidate # 1.243 * * * * [progress]: [ 27 / 71 ] simplifiying candidate # 1.243 * * * * [progress]: [ 28 / 71 ] simplifiying candidate # 1.243 * * * * [progress]: [ 29 / 71 ] simplifiying candidate # 1.243 * * * * [progress]: [ 30 / 71 ] simplifiying candidate # 1.243 * * * * [progress]: [ 31 / 71 ] simplifiying candidate # 1.243 * * * * [progress]: [ 32 / 71 ] simplifiying candidate # 1.243 * * * * [progress]: [ 33 / 71 ] simplifiying candidate # 1.243 * * * * [progress]: [ 34 / 71 ] simplifiying candidate # 1.243 * * * * [progress]: [ 35 / 71 ] simplifiying candidate # 1.243 * * * * [progress]: [ 36 / 71 ] simplifiying candidate # 1.243 * * * * [progress]: [ 37 / 71 ] simplifiying candidate # 1.244 * * * * [progress]: [ 38 / 71 ] simplifiying candidate #real (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))> 1.244 * * * * [progress]: [ 39 / 71 ] simplifiying candidate # 1.244 * * * * [progress]: [ 40 / 71 ] simplifiying candidate # 1.244 * * * * [progress]: [ 41 / 71 ] simplifiying candidate # 1.244 * * * * [progress]: [ 42 / 71 ] simplifiying candidate # 1.244 * * * * [progress]: [ 43 / 71 ] simplifiying candidate # 1.244 * * * * [progress]: [ 44 / 71 ] simplifiying candidate # 1.244 * * * * [progress]: [ 45 / 71 ] simplifiying candidate # 1.244 * * * * [progress]: [ 46 / 71 ] simplifiying candidate # 1.244 * * * * [progress]: [ 47 / 71 ] simplifiying candidate # 1.244 * * * * [progress]: [ 48 / 71 ] simplifiying candidate # 1.244 * * * * [progress]: [ 49 / 71 ] simplifiying candidate # 1.244 * * * * [progress]: [ 50 / 71 ] simplifiying candidate # 1.244 * * * * [progress]: [ 51 / 71 ] simplifiying candidate # 1.244 * * * * [progress]: [ 52 / 71 ] simplifiying candidate # 1.245 * * * * [progress]: [ 53 / 71 ] simplifiying candidate # 1.245 * * * * [progress]: [ 54 / 71 ] simplifiying candidate # 1.245 * * * * [progress]: [ 55 / 71 ] simplifiying candidate # 1.245 * * * * [progress]: [ 56 / 71 ] simplifiying candidate # 1.245 * * * * [progress]: [ 57 / 71 ] simplifiying candidate # 1.245 * * * * [progress]: [ 58 / 71 ] simplifiying candidate #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))> 1.245 * * * * [progress]: [ 59 / 71 ] simplifiying candidate # 1.245 * * * * [progress]: [ 60 / 71 ] simplifiying candidate # 1.245 * * * * [progress]: [ 61 / 71 ] simplifiying candidate # 1.245 * * * * [progress]: [ 62 / 71 ] simplifiying candidate # 1.245 * * * * [progress]: [ 63 / 71 ] simplifiying candidate # 1.245 * * * * [progress]: [ 64 / 71 ] simplifiying candidate # 1.245 * * * * [progress]: [ 65 / 71 ] simplifiying candidate # 1.245 * * * * [progress]: [ 66 / 71 ] simplifiying candidate # 1.245 * * * * [progress]: [ 67 / 71 ] simplifiying candidate # 1.245 * * * * [progress]: [ 68 / 71 ] simplifiying candidate # 1.245 * * * * [progress]: [ 69 / 71 ] simplifiying candidate # 1.245 * * * * [progress]: [ 70 / 71 ] simplifiying candidate # 1.246 * * * * [progress]: [ 71 / 71 ] simplifiying candidate # 1.247 * [simplify]: Simplifying: (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (real->posit16 (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (real->posit16 (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) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (exp (* (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))))) (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)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (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)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (real->posit16 (* (sin phi1) (sin phi2))) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) (* phi1 phi2) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 1.249 * * [simplify]: iteration 1: (115 enodes) 1.272 * * [simplify]: iteration 2: (209 enodes) 1.325 * * [simplify]: iteration 3: (439 enodes) 1.586 * * [simplify]: iteration 4: (872 enodes) 2.023 * * [simplify]: iteration 5: (1509 enodes) 2.637 * * [simplify]: Extracting #0: cost 51 inf + 0 2.638 * * [simplify]: Extracting #1: cost 223 inf + 0 2.642 * * [simplify]: Extracting #2: cost 359 inf + 3500 2.649 * * [simplify]: Extracting #3: cost 268 inf + 26739 2.665 * * [simplify]: Extracting #4: cost 151 inf + 66346 2.683 * * [simplify]: Extracting #5: cost 130 inf + 73097 2.707 * * [simplify]: Extracting #6: cost 91 inf + 103067 2.748 * * [simplify]: Extracting #7: cost 21 inf + 165038 2.777 * * [simplify]: Extracting #8: cost 1 inf + 185533 2.811 * * [simplify]: Extracting #9: cost 0 inf + 186670 2.855 * [simplify]: Simplified to: (* (cos lambda1) (cos lambda2)) (* (sin (- lambda2)) (sin lambda1)) (* (cos lambda1) (cos lambda2)) (* (sin (- lambda2)) (sin lambda1)) (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (* (cos (- lambda1 lambda2)) (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)))) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (real->posit16 (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (log (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (real->posit16 (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (log (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) (log (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) (exp (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) (* (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (* (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))))) (* (cbrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))))) (cbrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) (* (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (* (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))))) (sqrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (sqrt R)) (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (* (cbrt R) (cbrt R))) (* (sqrt R) (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) R) (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) R) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (real->posit16 (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) (* (sin phi2) (sin phi1)) (log (* (sin phi2) (sin phi1))) (log (* (sin phi2) (sin phi1))) (exp (* (sin phi2) (sin phi1))) (* (* (sin phi2) (sin phi1)) (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)))) (* (cbrt (* (sin phi2) (sin phi1))) (cbrt (* (sin phi2) (sin phi1)))) (cbrt (* (sin phi2) (sin phi1))) (* (* (sin phi2) (sin phi1)) (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)))) (sqrt (* (sin phi2) (sin phi1))) (sqrt (* (sin phi2) (sin phi1))) (* (sqrt (sin phi2)) (sqrt (sin phi1))) (* (sqrt (sin phi2)) (sqrt (sin phi1))) (* (* (cbrt (sin phi2)) (sin phi1)) (cbrt (sin phi2))) (* (sqrt (sin phi2)) (sin phi1)) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sin phi2) (sqrt (sin phi1))) (* (sin phi2) (sin phi1)) (real->posit16 (* (sin phi2) (sin phi1))) (+ (* lambda1 (- lambda2 (* 1/2 lambda1))) 1) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (* phi2 phi1) (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)) 2.866 * * * [progress]: adding candidates to table 4.084 * * [progress]: iteration 2 / 4 4.084 * * * [progress]: picking best candidate 4.197 * * * * [pick]: Picked # 4.197 * * * [progress]: localizing error 4.254 * * * [progress]: generating rewritten candidates 4.254 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 4.258 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 4.269 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 4.290 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 4.378 * * * [progress]: generating series expansions 4.378 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 4.379 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.379 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 4.379 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 4.379 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.380 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 4.380 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.380 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 4.380 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.380 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 4.380 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.381 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 4.381 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.381 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 4.381 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.381 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 4.381 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.382 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 4.382 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.382 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.382 * [taylor]: Taking taylor expansion of 0 in phi2 4.382 * [backup-simplify]: Simplify 0 into 0 4.382 * [taylor]: Taking taylor expansion of 0 in lambda1 4.382 * [backup-simplify]: Simplify 0 into 0 4.382 * [taylor]: Taking taylor expansion of 0 in lambda2 4.382 * [backup-simplify]: Simplify 0 into 0 4.382 * [backup-simplify]: Simplify 0 into 0 4.382 * [taylor]: Taking taylor expansion of 0 in lambda1 4.382 * [backup-simplify]: Simplify 0 into 0 4.382 * [taylor]: Taking taylor expansion of 0 in lambda2 4.382 * [backup-simplify]: Simplify 0 into 0 4.382 * [backup-simplify]: Simplify 0 into 0 4.382 * [taylor]: Taking taylor expansion of 0 in lambda2 4.382 * [backup-simplify]: Simplify 0 into 0 4.382 * [backup-simplify]: Simplify 0 into 0 4.382 * [backup-simplify]: Simplify 0 into 0 4.382 * [taylor]: Taking taylor expansion of 0 in phi2 4.383 * [backup-simplify]: Simplify 0 into 0 4.383 * [taylor]: Taking taylor expansion of 0 in lambda1 4.383 * [backup-simplify]: Simplify 0 into 0 4.383 * [taylor]: Taking taylor expansion of 0 in lambda2 4.383 * [backup-simplify]: Simplify 0 into 0 4.383 * [backup-simplify]: Simplify 0 into 0 4.383 * [taylor]: Taking taylor expansion of 0 in lambda1 4.383 * [backup-simplify]: Simplify 0 into 0 4.383 * [taylor]: Taking taylor expansion of 0 in lambda2 4.383 * [backup-simplify]: Simplify 0 into 0 4.383 * [backup-simplify]: Simplify 0 into 0 4.383 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.383 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.383 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 4.383 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 4.384 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.384 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 4.384 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.384 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 4.385 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.385 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 4.385 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.385 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 4.386 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.386 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 4.386 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.386 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 4.386 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.387 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 4.387 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.387 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.387 * [taylor]: Taking taylor expansion of 0 in phi2 4.387 * [backup-simplify]: Simplify 0 into 0 4.387 * [taylor]: Taking taylor expansion of 0 in lambda1 4.387 * [backup-simplify]: Simplify 0 into 0 4.387 * [taylor]: Taking taylor expansion of 0 in lambda2 4.388 * [backup-simplify]: Simplify 0 into 0 4.388 * [backup-simplify]: Simplify 0 into 0 4.388 * [taylor]: Taking taylor expansion of 0 in lambda1 4.388 * [backup-simplify]: Simplify 0 into 0 4.388 * [taylor]: Taking taylor expansion of 0 in lambda2 4.388 * [backup-simplify]: Simplify 0 into 0 4.388 * [backup-simplify]: Simplify 0 into 0 4.388 * [taylor]: Taking taylor expansion of 0 in lambda2 4.388 * [backup-simplify]: Simplify 0 into 0 4.388 * [backup-simplify]: Simplify 0 into 0 4.388 * [backup-simplify]: Simplify 0 into 0 4.388 * [taylor]: Taking taylor expansion of 0 in phi2 4.388 * [backup-simplify]: Simplify 0 into 0 4.388 * [taylor]: Taking taylor expansion of 0 in lambda1 4.388 * [backup-simplify]: Simplify 0 into 0 4.388 * [taylor]: Taking taylor expansion of 0 in lambda2 4.388 * [backup-simplify]: Simplify 0 into 0 4.388 * [backup-simplify]: Simplify 0 into 0 4.388 * [taylor]: Taking taylor expansion of 0 in lambda1 4.388 * [backup-simplify]: Simplify 0 into 0 4.388 * [taylor]: Taking taylor expansion of 0 in lambda2 4.388 * [backup-simplify]: Simplify 0 into 0 4.388 * [backup-simplify]: Simplify 0 into 0 4.388 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 4.389 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 4.389 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 4.389 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 4.389 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 4.389 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 4.390 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 4.390 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 4.390 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 4.390 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 4.391 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 4.391 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 4.391 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 4.391 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 4.392 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 4.392 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 4.392 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 4.392 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 4.392 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 4.393 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 4.394 * [taylor]: Taking taylor expansion of 0 in phi2 4.394 * [backup-simplify]: Simplify 0 into 0 4.394 * [taylor]: Taking taylor expansion of 0 in lambda1 4.394 * [backup-simplify]: Simplify 0 into 0 4.394 * [taylor]: Taking taylor expansion of 0 in lambda2 4.394 * [backup-simplify]: Simplify 0 into 0 4.394 * [backup-simplify]: Simplify 0 into 0 4.394 * [taylor]: Taking taylor expansion of 0 in lambda1 4.394 * [backup-simplify]: Simplify 0 into 0 4.394 * [taylor]: Taking taylor expansion of 0 in lambda2 4.394 * [backup-simplify]: Simplify 0 into 0 4.394 * [backup-simplify]: Simplify 0 into 0 4.394 * [taylor]: Taking taylor expansion of 0 in lambda2 4.394 * [backup-simplify]: Simplify 0 into 0 4.394 * [backup-simplify]: Simplify 0 into 0 4.394 * [backup-simplify]: Simplify 0 into 0 4.394 * [taylor]: Taking taylor expansion of 0 in phi2 4.394 * [backup-simplify]: Simplify 0 into 0 4.394 * [taylor]: Taking taylor expansion of 0 in lambda1 4.394 * [backup-simplify]: Simplify 0 into 0 4.394 * [taylor]: Taking taylor expansion of 0 in lambda2 4.394 * [backup-simplify]: Simplify 0 into 0 4.394 * [backup-simplify]: Simplify 0 into 0 4.394 * [taylor]: Taking taylor expansion of 0 in lambda1 4.394 * [backup-simplify]: Simplify 0 into 0 4.395 * [taylor]: Taking taylor expansion of 0 in lambda2 4.395 * [backup-simplify]: Simplify 0 into 0 4.395 * [backup-simplify]: Simplify 0 into 0 4.395 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.395 * * * * [progress]: [ 2 / 4 ] generating series at (2) 4.395 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 4.396 * [approximate]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in (phi1 phi2 lambda1 lambda2 R) around 0 4.396 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R 4.396 * [taylor]: Taking taylor expansion of R in R 4.396 * [backup-simplify]: Simplify 0 into 0 4.396 * [backup-simplify]: Simplify 1 into 1 4.396 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R 4.396 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.396 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 4.396 * [taylor]: Taking taylor expansion of R in lambda2 4.396 * [backup-simplify]: Simplify R into R 4.396 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 4.396 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.396 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 4.396 * [taylor]: Taking taylor expansion of R in lambda1 4.396 * [backup-simplify]: Simplify R into R 4.396 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 4.397 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.397 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 4.397 * [taylor]: Taking taylor expansion of R in phi2 4.397 * [backup-simplify]: Simplify R into R 4.397 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 4.397 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.397 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 4.397 * [taylor]: Taking taylor expansion of R in phi1 4.397 * [backup-simplify]: Simplify R into R 4.397 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 4.397 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.397 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 4.397 * [taylor]: Taking taylor expansion of R in phi1 4.397 * [backup-simplify]: Simplify R into R 4.397 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 4.398 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.398 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 4.398 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 4.398 * [taylor]: Taking taylor expansion of R in phi2 4.398 * [backup-simplify]: Simplify R into R 4.398 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 4.398 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.399 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 4.399 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 4.399 * [taylor]: Taking taylor expansion of R in lambda1 4.399 * [backup-simplify]: Simplify R into R 4.399 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 4.399 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.399 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 4.400 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 4.400 * [taylor]: Taking taylor expansion of R in lambda2 4.400 * [backup-simplify]: Simplify R into R 4.400 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 4.400 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.400 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 4.400 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R 4.400 * [taylor]: Taking taylor expansion of R in R 4.400 * [backup-simplify]: Simplify 0 into 0 4.400 * [backup-simplify]: Simplify 1 into 1 4.400 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R 4.401 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.401 * [backup-simplify]: Simplify (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into 0 4.401 * [backup-simplify]: Simplify 0 into 0 4.401 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 4.401 * [taylor]: Taking taylor expansion of 0 in phi2 4.401 * [backup-simplify]: Simplify 0 into 0 4.401 * [taylor]: Taking taylor expansion of 0 in lambda1 4.401 * [backup-simplify]: Simplify 0 into 0 4.401 * [taylor]: Taking taylor expansion of 0 in lambda2 4.401 * [backup-simplify]: Simplify 0 into 0 4.401 * [taylor]: Taking taylor expansion of 0 in R 4.401 * [backup-simplify]: Simplify 0 into 0 4.401 * [backup-simplify]: Simplify 0 into 0 4.402 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 4.402 * [taylor]: Taking taylor expansion of 0 in lambda1 4.402 * [backup-simplify]: Simplify 0 into 0 4.402 * [taylor]: Taking taylor expansion of 0 in lambda2 4.402 * [backup-simplify]: Simplify 0 into 0 4.402 * [taylor]: Taking taylor expansion of 0 in R 4.402 * [backup-simplify]: Simplify 0 into 0 4.402 * [backup-simplify]: Simplify 0 into 0 4.402 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 4.402 * [taylor]: Taking taylor expansion of 0 in lambda2 4.402 * [backup-simplify]: Simplify 0 into 0 4.402 * [taylor]: Taking taylor expansion of 0 in R 4.402 * [backup-simplify]: Simplify 0 into 0 4.402 * [backup-simplify]: Simplify 0 into 0 4.403 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 4.403 * [taylor]: Taking taylor expansion of 0 in R 4.403 * [backup-simplify]: Simplify 0 into 0 4.403 * [backup-simplify]: Simplify 0 into 0 4.404 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.405 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.406 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 4.406 * [taylor]: Taking taylor expansion of 0 in phi2 4.406 * [backup-simplify]: Simplify 0 into 0 4.406 * [taylor]: Taking taylor expansion of 0 in lambda1 4.406 * [backup-simplify]: Simplify 0 into 0 4.406 * [taylor]: Taking taylor expansion of 0 in lambda2 4.406 * [backup-simplify]: Simplify 0 into 0 4.406 * [taylor]: Taking taylor expansion of 0 in R 4.406 * [backup-simplify]: Simplify 0 into 0 4.406 * [backup-simplify]: Simplify 0 into 0 4.406 * [taylor]: Taking taylor expansion of 0 in lambda1 4.406 * [backup-simplify]: Simplify 0 into 0 4.406 * [taylor]: Taking taylor expansion of 0 in lambda2 4.406 * [backup-simplify]: Simplify 0 into 0 4.406 * [taylor]: Taking taylor expansion of 0 in R 4.406 * [backup-simplify]: Simplify 0 into 0 4.406 * [backup-simplify]: Simplify 0 into 0 4.407 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 4.407 * [taylor]: Taking taylor expansion of 0 in lambda1 4.407 * [backup-simplify]: Simplify 0 into 0 4.408 * [taylor]: Taking taylor expansion of 0 in lambda2 4.408 * [backup-simplify]: Simplify 0 into 0 4.408 * [taylor]: Taking taylor expansion of 0 in R 4.408 * [backup-simplify]: Simplify 0 into 0 4.408 * [backup-simplify]: Simplify 0 into 0 4.408 * [taylor]: Taking taylor expansion of 0 in lambda2 4.408 * [backup-simplify]: Simplify 0 into 0 4.408 * [taylor]: Taking taylor expansion of 0 in R 4.408 * [backup-simplify]: Simplify 0 into 0 4.408 * [backup-simplify]: Simplify 0 into 0 4.408 * [taylor]: Taking taylor expansion of 0 in lambda2 4.408 * [backup-simplify]: Simplify 0 into 0 4.408 * [taylor]: Taking taylor expansion of 0 in R 4.408 * [backup-simplify]: Simplify 0 into 0 4.408 * [backup-simplify]: Simplify 0 into 0 4.409 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 4.409 * [taylor]: Taking taylor expansion of 0 in lambda2 4.409 * [backup-simplify]: Simplify 0 into 0 4.409 * [taylor]: Taking taylor expansion of 0 in R 4.409 * [backup-simplify]: Simplify 0 into 0 4.409 * [backup-simplify]: Simplify 0 into 0 4.411 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* R (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 4.412 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) (/ 1 R)) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 4.412 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 4.412 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R 4.412 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R 4.413 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.413 * [taylor]: Taking taylor expansion of R in R 4.413 * [backup-simplify]: Simplify 0 into 0 4.413 * [backup-simplify]: Simplify 1 into 1 4.414 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.414 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2 4.414 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 4.414 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.415 * [taylor]: Taking taylor expansion of R in lambda2 4.415 * [backup-simplify]: Simplify R into R 4.415 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 4.415 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1 4.415 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 4.416 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.416 * [taylor]: Taking taylor expansion of R in lambda1 4.416 * [backup-simplify]: Simplify R into R 4.417 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 4.417 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2 4.417 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 4.418 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.418 * [taylor]: Taking taylor expansion of R in phi2 4.418 * [backup-simplify]: Simplify R into R 4.419 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 4.419 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1 4.419 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 4.420 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.420 * [taylor]: Taking taylor expansion of R in phi1 4.420 * [backup-simplify]: Simplify R into R 4.421 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 4.421 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1 4.421 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 4.422 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.422 * [taylor]: Taking taylor expansion of R in phi1 4.422 * [backup-simplify]: Simplify R into R 4.422 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 4.423 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2 4.423 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 4.423 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.423 * [taylor]: Taking taylor expansion of R in phi2 4.423 * [backup-simplify]: Simplify R into R 4.424 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 4.424 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1 4.424 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 4.425 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.425 * [taylor]: Taking taylor expansion of R in lambda1 4.425 * [backup-simplify]: Simplify R into R 4.426 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 4.426 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2 4.426 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 4.427 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.427 * [taylor]: Taking taylor expansion of R in lambda2 4.427 * [backup-simplify]: Simplify R into R 4.428 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 4.428 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R 4.428 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R 4.429 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.429 * [taylor]: Taking taylor expansion of R in R 4.429 * [backup-simplify]: Simplify 0 into 0 4.429 * [backup-simplify]: Simplify 1 into 1 4.430 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.431 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.432 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 4.432 * [taylor]: Taking taylor expansion of 0 in phi2 4.432 * [backup-simplify]: Simplify 0 into 0 4.432 * [taylor]: Taking taylor expansion of 0 in lambda1 4.432 * [backup-simplify]: Simplify 0 into 0 4.432 * [taylor]: Taking taylor expansion of 0 in lambda2 4.432 * [backup-simplify]: Simplify 0 into 0 4.432 * [taylor]: Taking taylor expansion of 0 in R 4.432 * [backup-simplify]: Simplify 0 into 0 4.433 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 4.433 * [taylor]: Taking taylor expansion of 0 in lambda1 4.433 * [backup-simplify]: Simplify 0 into 0 4.433 * [taylor]: Taking taylor expansion of 0 in lambda2 4.433 * [backup-simplify]: Simplify 0 into 0 4.433 * [taylor]: Taking taylor expansion of 0 in R 4.433 * [backup-simplify]: Simplify 0 into 0 4.434 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 4.434 * [taylor]: Taking taylor expansion of 0 in lambda2 4.434 * [backup-simplify]: Simplify 0 into 0 4.434 * [taylor]: Taking taylor expansion of 0 in R 4.434 * [backup-simplify]: Simplify 0 into 0 4.435 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 4.435 * [taylor]: Taking taylor expansion of 0 in R 4.435 * [backup-simplify]: Simplify 0 into 0 4.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)))) into 0 4.437 * [backup-simplify]: Simplify 0 into 0 4.438 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 4.438 * [taylor]: Taking taylor expansion of 0 in phi2 4.439 * [backup-simplify]: Simplify 0 into 0 4.439 * [taylor]: Taking taylor expansion of 0 in lambda1 4.439 * [backup-simplify]: Simplify 0 into 0 4.439 * [taylor]: Taking taylor expansion of 0 in lambda2 4.439 * [backup-simplify]: Simplify 0 into 0 4.439 * [taylor]: Taking taylor expansion of 0 in R 4.439 * [backup-simplify]: Simplify 0 into 0 4.439 * [taylor]: Taking taylor expansion of 0 in lambda1 4.439 * [backup-simplify]: Simplify 0 into 0 4.439 * [taylor]: Taking taylor expansion of 0 in lambda2 4.439 * [backup-simplify]: Simplify 0 into 0 4.439 * [taylor]: Taking taylor expansion of 0 in R 4.439 * [backup-simplify]: Simplify 0 into 0 4.440 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 4.440 * [taylor]: Taking taylor expansion of 0 in lambda1 4.440 * [backup-simplify]: Simplify 0 into 0 4.440 * [taylor]: Taking taylor expansion of 0 in lambda2 4.440 * [backup-simplify]: Simplify 0 into 0 4.440 * [taylor]: Taking taylor expansion of 0 in R 4.440 * [backup-simplify]: Simplify 0 into 0 4.440 * [taylor]: Taking taylor expansion of 0 in lambda2 4.440 * [backup-simplify]: Simplify 0 into 0 4.440 * [taylor]: Taking taylor expansion of 0 in R 4.440 * [backup-simplify]: Simplify 0 into 0 4.440 * [taylor]: Taking taylor expansion of 0 in lambda2 4.440 * [backup-simplify]: Simplify 0 into 0 4.440 * [taylor]: Taking taylor expansion of 0 in R 4.440 * [backup-simplify]: Simplify 0 into 0 4.442 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 4.442 * [taylor]: Taking taylor expansion of 0 in lambda2 4.442 * [backup-simplify]: Simplify 0 into 0 4.442 * [taylor]: Taking taylor expansion of 0 in R 4.442 * [backup-simplify]: Simplify 0 into 0 4.442 * [taylor]: Taking taylor expansion of 0 in R 4.442 * [backup-simplify]: Simplify 0 into 0 4.442 * [taylor]: Taking taylor expansion of 0 in R 4.442 * [backup-simplify]: Simplify 0 into 0 4.442 * [taylor]: Taking taylor expansion of 0 in R 4.442 * [backup-simplify]: Simplify 0 into 0 4.443 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 4.443 * [taylor]: Taking taylor expansion of 0 in R 4.444 * [backup-simplify]: Simplify 0 into 0 4.444 * [backup-simplify]: Simplify 0 into 0 4.444 * [backup-simplify]: Simplify 0 into 0 4.444 * [backup-simplify]: Simplify 0 into 0 4.444 * [backup-simplify]: Simplify 0 into 0 4.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.446 * [backup-simplify]: Simplify 0 into 0 4.448 * [backup-simplify]: Simplify (* (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 4.449 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) (/ 1 (- R))) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 4.449 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 4.449 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R 4.449 * [taylor]: Taking taylor expansion of -1 in R 4.449 * [backup-simplify]: Simplify -1 into -1 4.449 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R 4.449 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R 4.450 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 4.450 * [taylor]: Taking taylor expansion of R in R 4.450 * [backup-simplify]: Simplify 0 into 0 4.450 * [backup-simplify]: Simplify 1 into 1 4.451 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 4.451 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda2 4.451 * [taylor]: Taking taylor expansion of -1 in lambda2 4.451 * [backup-simplify]: Simplify -1 into -1 4.451 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda2 4.451 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 4.452 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 4.452 * [taylor]: Taking taylor expansion of R in lambda2 4.452 * [backup-simplify]: Simplify R into R 4.453 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 4.453 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1 4.453 * [taylor]: Taking taylor expansion of -1 in lambda1 4.453 * [backup-simplify]: Simplify -1 into -1 4.453 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1 4.453 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 4.454 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 4.454 * [taylor]: Taking taylor expansion of R in lambda1 4.454 * [backup-simplify]: Simplify R into R 4.455 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 4.455 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi2 4.455 * [taylor]: Taking taylor expansion of -1 in phi2 4.455 * [backup-simplify]: Simplify -1 into -1 4.455 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi2 4.455 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 4.456 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 4.456 * [taylor]: Taking taylor expansion of R in phi2 4.456 * [backup-simplify]: Simplify R into R 4.456 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 4.457 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1 4.457 * [taylor]: Taking taylor expansion of -1 in phi1 4.457 * [backup-simplify]: Simplify -1 into -1 4.457 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1 4.457 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 4.457 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 4.458 * [taylor]: Taking taylor expansion of R in phi1 4.458 * [backup-simplify]: Simplify R into R 4.458 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 4.458 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1 4.458 * [taylor]: Taking taylor expansion of -1 in phi1 4.459 * [backup-simplify]: Simplify -1 into -1 4.459 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1 4.459 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 4.459 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 4.459 * [taylor]: Taking taylor expansion of R in phi1 4.459 * [backup-simplify]: Simplify R into R 4.460 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 4.461 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) 4.461 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in phi2 4.461 * [taylor]: Taking taylor expansion of -1 in phi2 4.461 * [backup-simplify]: Simplify -1 into -1 4.461 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in phi2 4.461 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 4.463 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 4.463 * [taylor]: Taking taylor expansion of R in phi2 4.463 * [backup-simplify]: Simplify R into R 4.464 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) 4.464 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 4.465 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1 4.465 * [taylor]: Taking taylor expansion of -1 in lambda1 4.465 * [backup-simplify]: Simplify -1 into -1 4.465 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1 4.465 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 4.465 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 4.466 * [taylor]: Taking taylor expansion of R in lambda1 4.466 * [backup-simplify]: Simplify R into R 4.466 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 4.467 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) 4.467 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in lambda2 4.467 * [taylor]: Taking taylor expansion of -1 in lambda2 4.467 * [backup-simplify]: Simplify -1 into -1 4.467 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in lambda2 4.467 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 4.468 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 4.468 * [taylor]: Taking taylor expansion of R in lambda2 4.468 * [backup-simplify]: Simplify R into R 4.469 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) 4.470 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 4.470 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R 4.470 * [taylor]: Taking taylor expansion of -1 in R 4.470 * [backup-simplify]: Simplify -1 into -1 4.470 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R 4.470 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R 4.471 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 4.471 * [taylor]: Taking taylor expansion of R in R 4.471 * [backup-simplify]: Simplify 0 into 0 4.471 * [backup-simplify]: Simplify 1 into 1 4.472 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 4.473 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) 4.474 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 4.475 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0 4.477 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0 4.477 * [taylor]: Taking taylor expansion of 0 in phi2 4.478 * [backup-simplify]: Simplify 0 into 0 4.478 * [taylor]: Taking taylor expansion of 0 in lambda1 4.478 * [backup-simplify]: Simplify 0 into 0 4.478 * [taylor]: Taking taylor expansion of 0 in lambda2 4.478 * [backup-simplify]: Simplify 0 into 0 4.478 * [taylor]: Taking taylor expansion of 0 in R 4.478 * [backup-simplify]: Simplify 0 into 0 4.479 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0 4.480 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0 4.481 * [taylor]: Taking taylor expansion of 0 in lambda1 4.481 * [backup-simplify]: Simplify 0 into 0 4.481 * [taylor]: Taking taylor expansion of 0 in lambda2 4.481 * [backup-simplify]: Simplify 0 into 0 4.481 * [taylor]: Taking taylor expansion of 0 in R 4.481 * [backup-simplify]: Simplify 0 into 0 4.482 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0 4.483 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0 4.483 * [taylor]: Taking taylor expansion of 0 in lambda2 4.483 * [backup-simplify]: Simplify 0 into 0 4.483 * [taylor]: Taking taylor expansion of 0 in R 4.483 * [backup-simplify]: Simplify 0 into 0 4.485 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0 4.486 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0 4.486 * [taylor]: Taking taylor expansion of 0 in R 4.486 * [backup-simplify]: Simplify 0 into 0 4.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)))) into 0 4.489 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into 0 4.490 * [backup-simplify]: Simplify 0 into 0 4.491 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 4.492 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0 4.492 * [taylor]: Taking taylor expansion of 0 in phi2 4.492 * [backup-simplify]: Simplify 0 into 0 4.493 * [taylor]: Taking taylor expansion of 0 in lambda1 4.493 * [backup-simplify]: Simplify 0 into 0 4.493 * [taylor]: Taking taylor expansion of 0 in lambda2 4.493 * [backup-simplify]: Simplify 0 into 0 4.493 * [taylor]: Taking taylor expansion of 0 in R 4.493 * [backup-simplify]: Simplify 0 into 0 4.493 * [taylor]: Taking taylor expansion of 0 in lambda1 4.493 * [backup-simplify]: Simplify 0 into 0 4.493 * [taylor]: Taking taylor expansion of 0 in lambda2 4.493 * [backup-simplify]: Simplify 0 into 0 4.493 * [taylor]: Taking taylor expansion of 0 in R 4.493 * [backup-simplify]: Simplify 0 into 0 4.494 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 4.496 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0 4.496 * [taylor]: Taking taylor expansion of 0 in lambda1 4.496 * [backup-simplify]: Simplify 0 into 0 4.496 * [taylor]: Taking taylor expansion of 0 in lambda2 4.496 * [backup-simplify]: Simplify 0 into 0 4.496 * [taylor]: Taking taylor expansion of 0 in R 4.496 * [backup-simplify]: Simplify 0 into 0 4.496 * [taylor]: Taking taylor expansion of 0 in lambda2 4.496 * [backup-simplify]: Simplify 0 into 0 4.496 * [taylor]: Taking taylor expansion of 0 in R 4.496 * [backup-simplify]: Simplify 0 into 0 4.496 * [taylor]: Taking taylor expansion of 0 in lambda2 4.496 * [backup-simplify]: Simplify 0 into 0 4.496 * [taylor]: Taking taylor expansion of 0 in R 4.496 * [backup-simplify]: Simplify 0 into 0 4.497 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 4.499 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0 4.499 * [taylor]: Taking taylor expansion of 0 in lambda2 4.499 * [backup-simplify]: Simplify 0 into 0 4.499 * [taylor]: Taking taylor expansion of 0 in R 4.499 * [backup-simplify]: Simplify 0 into 0 4.499 * [taylor]: Taking taylor expansion of 0 in R 4.499 * [backup-simplify]: Simplify 0 into 0 4.499 * [taylor]: Taking taylor expansion of 0 in R 4.499 * [backup-simplify]: Simplify 0 into 0 4.499 * [taylor]: Taking taylor expansion of 0 in R 4.500 * [backup-simplify]: Simplify 0 into 0 4.501 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 4.503 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0 4.503 * [taylor]: Taking taylor expansion of 0 in R 4.503 * [backup-simplify]: Simplify 0 into 0 4.503 * [backup-simplify]: Simplify 0 into 0 4.503 * [backup-simplify]: Simplify 0 into 0 4.503 * [backup-simplify]: Simplify 0 into 0 4.503 * [backup-simplify]: Simplify 0 into 0 4.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.508 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))))) into 0 4.508 * [backup-simplify]: Simplify 0 into 0 4.510 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 4.510 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 4.510 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2)) 4.510 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 4.510 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 4.510 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 4.510 * [taylor]: Taking taylor expansion of phi1 in phi2 4.510 * [backup-simplify]: Simplify phi1 into phi1 4.510 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 4.510 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 4.510 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 4.510 * [taylor]: Taking taylor expansion of phi2 in phi2 4.510 * [backup-simplify]: Simplify 0 into 0 4.510 * [backup-simplify]: Simplify 1 into 1 4.510 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 4.510 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 4.511 * [taylor]: Taking taylor expansion of phi1 in phi1 4.511 * [backup-simplify]: Simplify 0 into 0 4.511 * [backup-simplify]: Simplify 1 into 1 4.511 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 4.511 * [taylor]: Taking taylor expansion of phi2 in phi1 4.511 * [backup-simplify]: Simplify phi2 into phi2 4.511 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 4.511 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 4.511 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 4.511 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 4.511 * [taylor]: Taking taylor expansion of phi1 in phi1 4.511 * [backup-simplify]: Simplify 0 into 0 4.511 * [backup-simplify]: Simplify 1 into 1 4.511 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 4.511 * [taylor]: Taking taylor expansion of phi2 in phi1 4.511 * [backup-simplify]: Simplify phi2 into phi2 4.511 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 4.511 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 4.511 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 4.511 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 4.511 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 4.511 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 4.511 * [taylor]: Taking taylor expansion of 0 in phi2 4.512 * [backup-simplify]: Simplify 0 into 0 4.512 * [backup-simplify]: Simplify 0 into 0 4.512 * [backup-simplify]: Simplify (+ 0) into 0 4.513 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 4.513 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.514 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 4.514 * [backup-simplify]: Simplify (+ 0 0) into 0 4.515 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.515 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 4.515 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 4.516 * [taylor]: Taking taylor expansion of phi2 in phi2 4.516 * [backup-simplify]: Simplify 0 into 0 4.516 * [backup-simplify]: Simplify 1 into 1 4.516 * [backup-simplify]: Simplify 0 into 0 4.516 * [backup-simplify]: Simplify 0 into 0 4.517 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.517 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 4.518 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.519 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 4.519 * [backup-simplify]: Simplify (+ 0 0) into 0 4.520 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.521 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 4.521 * [taylor]: Taking taylor expansion of 0 in phi2 4.521 * [backup-simplify]: Simplify 0 into 0 4.521 * [backup-simplify]: Simplify 0 into 0 4.522 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.522 * [backup-simplify]: Simplify 1 into 1 4.522 * [backup-simplify]: Simplify 0 into 0 4.523 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.524 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.526 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.526 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.527 * [backup-simplify]: Simplify (+ 0 0) into 0 4.528 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 4.531 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 4.531 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 4.531 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 4.531 * [taylor]: Taking taylor expansion of 1/6 in phi2 4.532 * [backup-simplify]: Simplify 1/6 into 1/6 4.532 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 4.532 * [taylor]: Taking taylor expansion of phi2 in phi2 4.532 * [backup-simplify]: Simplify 0 into 0 4.532 * [backup-simplify]: Simplify 1 into 1 4.532 * [backup-simplify]: Simplify (* 1/6 0) into 0 4.533 * [backup-simplify]: Simplify (- 0) into 0 4.533 * [backup-simplify]: Simplify 0 into 0 4.533 * [backup-simplify]: Simplify 0 into 0 4.533 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.533 * [backup-simplify]: Simplify 0 into 0 4.534 * [backup-simplify]: Simplify 0 into 0 4.536 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 4.537 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.538 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.539 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 4.540 * [backup-simplify]: Simplify (+ 0 0) into 0 4.541 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.543 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 4.543 * [taylor]: Taking taylor expansion of 0 in phi2 4.543 * [backup-simplify]: Simplify 0 into 0 4.543 * [backup-simplify]: Simplify 0 into 0 4.543 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2) 4.543 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 4.543 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0 4.543 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 4.543 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 4.543 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 4.543 * [taylor]: Taking taylor expansion of phi2 in phi2 4.544 * [backup-simplify]: Simplify 0 into 0 4.544 * [backup-simplify]: Simplify 1 into 1 4.544 * [backup-simplify]: Simplify (/ 1 1) into 1 4.544 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 4.544 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 4.544 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 4.544 * [taylor]: Taking taylor expansion of phi1 in phi2 4.544 * [backup-simplify]: Simplify phi1 into phi1 4.544 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 4.544 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 4.544 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 4.544 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 4.544 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 4.544 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 4.544 * [taylor]: Taking taylor expansion of phi2 in phi1 4.544 * [backup-simplify]: Simplify phi2 into phi2 4.545 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 4.545 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 4.545 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 4.545 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 4.545 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 4.545 * [taylor]: Taking taylor expansion of phi1 in phi1 4.545 * [backup-simplify]: Simplify 0 into 0 4.545 * [backup-simplify]: Simplify 1 into 1 4.545 * [backup-simplify]: Simplify (/ 1 1) into 1 4.545 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 4.545 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 4.545 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 4.545 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 4.545 * [taylor]: Taking taylor expansion of phi2 in phi1 4.545 * [backup-simplify]: Simplify phi2 into phi2 4.545 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 4.546 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 4.546 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 4.546 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 4.546 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 4.546 * [taylor]: Taking taylor expansion of phi1 in phi1 4.546 * [backup-simplify]: Simplify 0 into 0 4.546 * [backup-simplify]: Simplify 1 into 1 4.546 * [backup-simplify]: Simplify (/ 1 1) into 1 4.546 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 4.546 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 4.546 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 4.546 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 4.547 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 4.547 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 4.547 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 4.547 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 4.547 * [taylor]: Taking taylor expansion of phi2 in phi2 4.547 * [backup-simplify]: Simplify 0 into 0 4.547 * [backup-simplify]: Simplify 1 into 1 4.547 * [backup-simplify]: Simplify (/ 1 1) into 1 4.547 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 4.547 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 4.547 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 4.547 * [taylor]: Taking taylor expansion of phi1 in phi2 4.547 * [backup-simplify]: Simplify phi1 into phi1 4.547 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 4.547 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 4.548 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 4.548 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 4.548 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 4.548 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 4.548 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 4.548 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 4.549 * [backup-simplify]: Simplify (+ 0) into 0 4.549 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 4.549 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 4.550 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.550 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 4.551 * [backup-simplify]: Simplify (+ 0 0) into 0 4.551 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 4.551 * [taylor]: Taking taylor expansion of 0 in phi2 4.551 * [backup-simplify]: Simplify 0 into 0 4.551 * [backup-simplify]: Simplify 0 into 0 4.551 * [backup-simplify]: Simplify (+ 0) into 0 4.552 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 4.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 4.553 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.553 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 4.554 * [backup-simplify]: Simplify (+ 0 0) into 0 4.554 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 4.554 * [backup-simplify]: Simplify 0 into 0 4.555 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.556 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 4.556 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 4.557 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.557 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 4.558 * [backup-simplify]: Simplify (+ 0 0) into 0 4.558 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 4.558 * [taylor]: Taking taylor expansion of 0 in phi2 4.558 * [backup-simplify]: Simplify 0 into 0 4.558 * [backup-simplify]: Simplify 0 into 0 4.558 * [backup-simplify]: Simplify 0 into 0 4.559 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.560 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 4.560 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 4.561 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.562 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 4.562 * [backup-simplify]: Simplify (+ 0 0) into 0 4.562 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 4.563 * [backup-simplify]: Simplify 0 into 0 4.563 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.564 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 4.566 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.567 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.567 * [backup-simplify]: Simplify (+ 0 0) into 0 4.568 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0 4.568 * [taylor]: Taking taylor expansion of 0 in phi2 4.568 * [backup-simplify]: Simplify 0 into 0 4.568 * [backup-simplify]: Simplify 0 into 0 4.569 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2)) 4.569 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 4.569 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 4.569 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 4.569 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 4.569 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 4.569 * [taylor]: Taking taylor expansion of -1 in phi2 4.569 * [backup-simplify]: Simplify -1 into -1 4.569 * [taylor]: Taking taylor expansion of phi1 in phi2 4.569 * [backup-simplify]: Simplify phi1 into phi1 4.569 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 4.569 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 4.569 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 4.569 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 4.569 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 4.569 * [taylor]: Taking taylor expansion of -1 in phi2 4.569 * [backup-simplify]: Simplify -1 into -1 4.569 * [taylor]: Taking taylor expansion of phi2 in phi2 4.569 * [backup-simplify]: Simplify 0 into 0 4.569 * [backup-simplify]: Simplify 1 into 1 4.570 * [backup-simplify]: Simplify (/ -1 1) into -1 4.570 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 4.570 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 4.570 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 4.570 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 4.570 * [taylor]: Taking taylor expansion of -1 in phi1 4.570 * [backup-simplify]: Simplify -1 into -1 4.570 * [taylor]: Taking taylor expansion of phi1 in phi1 4.570 * [backup-simplify]: Simplify 0 into 0 4.570 * [backup-simplify]: Simplify 1 into 1 4.571 * [backup-simplify]: Simplify (/ -1 1) into -1 4.571 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 4.571 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 4.571 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 4.571 * [taylor]: Taking taylor expansion of -1 in phi1 4.571 * [backup-simplify]: Simplify -1 into -1 4.571 * [taylor]: Taking taylor expansion of phi2 in phi1 4.571 * [backup-simplify]: Simplify phi2 into phi2 4.571 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 4.571 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 4.571 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 4.571 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 4.571 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 4.571 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 4.571 * [taylor]: Taking taylor expansion of -1 in phi1 4.571 * [backup-simplify]: Simplify -1 into -1 4.571 * [taylor]: Taking taylor expansion of phi1 in phi1 4.571 * [backup-simplify]: Simplify 0 into 0 4.571 * [backup-simplify]: Simplify 1 into 1 4.572 * [backup-simplify]: Simplify (/ -1 1) into -1 4.572 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 4.572 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 4.572 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 4.572 * [taylor]: Taking taylor expansion of -1 in phi1 4.572 * [backup-simplify]: Simplify -1 into -1 4.572 * [taylor]: Taking taylor expansion of phi2 in phi1 4.572 * [backup-simplify]: Simplify phi2 into phi2 4.572 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 4.572 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 4.572 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 4.573 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 4.573 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 4.573 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 4.573 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 4.573 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 4.573 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 4.573 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 4.573 * [taylor]: Taking taylor expansion of -1 in phi2 4.573 * [backup-simplify]: Simplify -1 into -1 4.573 * [taylor]: Taking taylor expansion of phi1 in phi2 4.573 * [backup-simplify]: Simplify phi1 into phi1 4.573 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 4.573 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 4.573 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 4.573 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 4.573 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 4.573 * [taylor]: Taking taylor expansion of -1 in phi2 4.573 * [backup-simplify]: Simplify -1 into -1 4.573 * [taylor]: Taking taylor expansion of phi2 in phi2 4.573 * [backup-simplify]: Simplify 0 into 0 4.573 * [backup-simplify]: Simplify 1 into 1 4.574 * [backup-simplify]: Simplify (/ -1 1) into -1 4.574 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 4.574 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 4.574 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 4.574 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 4.574 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 4.574 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 4.575 * [backup-simplify]: Simplify (+ 0) into 0 4.575 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 4.576 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 4.576 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.577 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 4.577 * [backup-simplify]: Simplify (+ 0 0) into 0 4.578 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 4.578 * [taylor]: Taking taylor expansion of 0 in phi2 4.578 * [backup-simplify]: Simplify 0 into 0 4.578 * [backup-simplify]: Simplify 0 into 0 4.578 * [backup-simplify]: Simplify (+ 0) into 0 4.579 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 4.579 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 4.580 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.580 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 4.581 * [backup-simplify]: Simplify (+ 0 0) into 0 4.581 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 4.581 * [backup-simplify]: Simplify 0 into 0 4.582 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.583 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 4.583 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 4.584 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.585 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 4.585 * [backup-simplify]: Simplify (+ 0 0) into 0 4.585 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 4.585 * [taylor]: Taking taylor expansion of 0 in phi2 4.585 * [backup-simplify]: Simplify 0 into 0 4.585 * [backup-simplify]: Simplify 0 into 0 4.585 * [backup-simplify]: Simplify 0 into 0 4.586 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.586 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 4.586 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 4.587 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.587 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 4.587 * [backup-simplify]: Simplify (+ 0 0) into 0 4.588 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 4.588 * [backup-simplify]: Simplify 0 into 0 4.588 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.589 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.589 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 4.590 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.590 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.591 * [backup-simplify]: Simplify (+ 0 0) into 0 4.591 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 4.591 * [taylor]: Taking taylor expansion of 0 in phi2 4.591 * [backup-simplify]: Simplify 0 into 0 4.591 * [backup-simplify]: Simplify 0 into 0 4.591 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 4.591 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 4.592 * [backup-simplify]: Simplify (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) into (* (cos phi1) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2))) 4.592 * [approximate]: Taking taylor expansion of (* (cos phi1) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2))) in (phi1 phi2 lambda1 lambda2) around 0 4.592 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2))) in lambda2 4.592 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2 4.592 * [taylor]: Taking taylor expansion of phi1 in lambda2 4.592 * [backup-simplify]: Simplify phi1 into phi1 4.592 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 4.592 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 4.592 * [taylor]: Taking taylor expansion of (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) in lambda2 4.592 * [taylor]: Taking taylor expansion of (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) in lambda2 4.592 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 4.592 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 4.592 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.592 * [backup-simplify]: Simplify lambda1 into lambda1 4.592 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 4.592 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 4.592 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 4.592 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.592 * [backup-simplify]: Simplify 0 into 0 4.592 * [backup-simplify]: Simplify 1 into 1 4.592 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda2 4.592 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda2 4.592 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.592 * [backup-simplify]: Simplify lambda1 into lambda1 4.592 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 4.592 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 4.592 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 4.592 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.592 * [backup-simplify]: Simplify 0 into 0 4.592 * [backup-simplify]: Simplify 1 into 1 4.592 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2 4.592 * [taylor]: Taking taylor expansion of phi2 in lambda2 4.592 * [backup-simplify]: Simplify phi2 into phi2 4.592 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 4.592 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 4.592 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2))) in lambda1 4.592 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1 4.592 * [taylor]: Taking taylor expansion of phi1 in lambda1 4.592 * [backup-simplify]: Simplify phi1 into phi1 4.592 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 4.592 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 4.592 * [taylor]: Taking taylor expansion of (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) in lambda1 4.592 * [taylor]: Taking taylor expansion of (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) in lambda1 4.592 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 4.592 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 4.593 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.593 * [backup-simplify]: Simplify 0 into 0 4.593 * [backup-simplify]: Simplify 1 into 1 4.593 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 4.593 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.593 * [backup-simplify]: Simplify lambda2 into lambda2 4.593 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 4.593 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 4.593 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 4.593 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 4.593 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.593 * [backup-simplify]: Simplify 0 into 0 4.593 * [backup-simplify]: Simplify 1 into 1 4.593 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 4.593 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.593 * [backup-simplify]: Simplify lambda2 into lambda2 4.593 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 4.593 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 4.593 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1 4.593 * [taylor]: Taking taylor expansion of phi2 in lambda1 4.593 * [backup-simplify]: Simplify phi2 into phi2 4.593 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 4.593 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 4.593 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2))) in phi2 4.593 * [taylor]: Taking taylor expansion of (cos phi1) in phi2 4.593 * [taylor]: Taking taylor expansion of phi1 in phi2 4.593 * [backup-simplify]: Simplify phi1 into phi1 4.593 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 4.593 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 4.593 * [taylor]: Taking taylor expansion of (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) in phi2 4.593 * [taylor]: Taking taylor expansion of (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) in phi2 4.593 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi2 4.593 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 4.593 * [taylor]: Taking taylor expansion of lambda1 in phi2 4.593 * [backup-simplify]: Simplify lambda1 into lambda1 4.593 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 4.593 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 4.593 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 4.593 * [taylor]: Taking taylor expansion of lambda2 in phi2 4.593 * [backup-simplify]: Simplify lambda2 into lambda2 4.593 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 4.593 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 4.593 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi2 4.593 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 4.593 * [taylor]: Taking taylor expansion of lambda1 in phi2 4.593 * [backup-simplify]: Simplify lambda1 into lambda1 4.593 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 4.593 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 4.593 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 4.593 * [taylor]: Taking taylor expansion of lambda2 in phi2 4.593 * [backup-simplify]: Simplify lambda2 into lambda2 4.593 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 4.593 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 4.593 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 4.593 * [taylor]: Taking taylor expansion of phi2 in phi2 4.594 * [backup-simplify]: Simplify 0 into 0 4.594 * [backup-simplify]: Simplify 1 into 1 4.594 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2))) in phi1 4.594 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 4.594 * [taylor]: Taking taylor expansion of phi1 in phi1 4.594 * [backup-simplify]: Simplify 0 into 0 4.594 * [backup-simplify]: Simplify 1 into 1 4.594 * [taylor]: Taking taylor expansion of (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) in phi1 4.594 * [taylor]: Taking taylor expansion of (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) in phi1 4.594 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi1 4.594 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 4.594 * [taylor]: Taking taylor expansion of lambda1 in phi1 4.594 * [backup-simplify]: Simplify lambda1 into lambda1 4.594 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 4.594 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 4.594 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1 4.594 * [taylor]: Taking taylor expansion of lambda2 in phi1 4.594 * [backup-simplify]: Simplify lambda2 into lambda2 4.594 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 4.594 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 4.594 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi1 4.594 * [taylor]: Taking taylor expansion of (cos lambda1) in phi1 4.594 * [taylor]: Taking taylor expansion of lambda1 in phi1 4.594 * [backup-simplify]: Simplify lambda1 into lambda1 4.594 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 4.594 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 4.594 * [taylor]: Taking taylor expansion of (cos lambda2) in phi1 4.594 * [taylor]: Taking taylor expansion of lambda2 in phi1 4.594 * [backup-simplify]: Simplify lambda2 into lambda2 4.594 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 4.594 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 4.594 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 4.594 * [taylor]: Taking taylor expansion of phi2 in phi1 4.594 * [backup-simplify]: Simplify phi2 into phi2 4.594 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 4.594 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 4.594 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2))) in phi1 4.594 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 4.594 * [taylor]: Taking taylor expansion of phi1 in phi1 4.594 * [backup-simplify]: Simplify 0 into 0 4.594 * [backup-simplify]: Simplify 1 into 1 4.594 * [taylor]: Taking taylor expansion of (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) in phi1 4.594 * [taylor]: Taking taylor expansion of (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) in phi1 4.594 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi1 4.594 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 4.594 * [taylor]: Taking taylor expansion of lambda1 in phi1 4.594 * [backup-simplify]: Simplify lambda1 into lambda1 4.594 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 4.594 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 4.594 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1 4.594 * [taylor]: Taking taylor expansion of lambda2 in phi1 4.594 * [backup-simplify]: Simplify lambda2 into lambda2 4.594 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 4.594 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 4.594 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi1 4.594 * [taylor]: Taking taylor expansion of (cos lambda1) in phi1 4.594 * [taylor]: Taking taylor expansion of lambda1 in phi1 4.595 * [backup-simplify]: Simplify lambda1 into lambda1 4.595 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 4.595 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 4.595 * [taylor]: Taking taylor expansion of (cos lambda2) in phi1 4.595 * [taylor]: Taking taylor expansion of lambda2 in phi1 4.595 * [backup-simplify]: Simplify lambda2 into lambda2 4.595 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 4.595 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 4.595 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 4.595 * [taylor]: Taking taylor expansion of phi2 in phi1 4.595 * [backup-simplify]: Simplify phi2 into phi2 4.595 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 4.595 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 4.595 * [backup-simplify]: Simplify (* (sin lambda1) 1) into (sin lambda1) 4.595 * [backup-simplify]: Simplify (* (cos lambda1) 0) into 0 4.595 * [backup-simplify]: Simplify (+ (sin lambda1) 0) into (sin lambda1) 4.595 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 4.595 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 4.595 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 4.595 * [backup-simplify]: Simplify (* (sin lambda1) (sin lambda2)) into (* (sin lambda1) (sin lambda2)) 4.595 * [backup-simplify]: Simplify (* (cos lambda1) 1) into (cos lambda1) 4.595 * [backup-simplify]: Simplify (* (sin lambda1) 0) into 0 4.596 * [backup-simplify]: Simplify (- 0) into 0 4.596 * [backup-simplify]: Simplify (+ (cos lambda1) 0) into (cos lambda1) 4.596 * [backup-simplify]: Simplify (* (cos lambda2) 1) into (cos lambda2) 4.596 * [backup-simplify]: Simplify (* (sin lambda2) 0) into 0 4.596 * [backup-simplify]: Simplify (- 0) into 0 4.596 * [backup-simplify]: Simplify (+ (cos lambda2) 0) into (cos lambda2) 4.596 * [backup-simplify]: Simplify (* (cos lambda1) (cos lambda2)) into (* (cos lambda1) (cos lambda2)) 4.596 * [backup-simplify]: Simplify (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) into (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) 4.596 * [backup-simplify]: Simplify (* (cos phi2) 1) into (cos phi2) 4.596 * [backup-simplify]: Simplify (* (sin phi2) 0) into 0 4.597 * [backup-simplify]: Simplify (- 0) into 0 4.597 * [backup-simplify]: Simplify (+ (cos phi2) 0) into (cos phi2) 4.597 * [backup-simplify]: Simplify (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) into (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) 4.597 * [backup-simplify]: Simplify (* 1 (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2))) into (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) 4.597 * [taylor]: Taking taylor expansion of (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) in phi2 4.597 * [taylor]: Taking taylor expansion of (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) in phi2 4.597 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi2 4.597 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 4.597 * [taylor]: Taking taylor expansion of lambda1 in phi2 4.597 * [backup-simplify]: Simplify lambda1 into lambda1 4.597 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 4.597 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 4.597 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 4.597 * [taylor]: Taking taylor expansion of lambda2 in phi2 4.597 * [backup-simplify]: Simplify lambda2 into lambda2 4.597 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 4.597 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 4.597 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi2 4.597 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 4.597 * [taylor]: Taking taylor expansion of lambda1 in phi2 4.597 * [backup-simplify]: Simplify lambda1 into lambda1 4.597 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 4.597 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 4.597 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 4.597 * [taylor]: Taking taylor expansion of lambda2 in phi2 4.597 * [backup-simplify]: Simplify lambda2 into lambda2 4.597 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 4.597 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 4.597 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 4.597 * [taylor]: Taking taylor expansion of phi2 in phi2 4.597 * [backup-simplify]: Simplify 0 into 0 4.597 * [backup-simplify]: Simplify 1 into 1 4.597 * [backup-simplify]: Simplify (* (sin lambda1) 1) into (sin lambda1) 4.597 * [backup-simplify]: Simplify (* (cos lambda1) 0) into 0 4.598 * [backup-simplify]: Simplify (+ (sin lambda1) 0) into (sin lambda1) 4.598 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 4.598 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 4.598 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 4.598 * [backup-simplify]: Simplify (* (sin lambda1) (sin lambda2)) into (* (sin lambda1) (sin lambda2)) 4.598 * [backup-simplify]: Simplify (* (cos lambda1) 1) into (cos lambda1) 4.598 * [backup-simplify]: Simplify (* (sin lambda1) 0) into 0 4.598 * [backup-simplify]: Simplify (- 0) into 0 4.598 * [backup-simplify]: Simplify (+ (cos lambda1) 0) into (cos lambda1) 4.598 * [backup-simplify]: Simplify (* (cos lambda2) 1) into (cos lambda2) 4.598 * [backup-simplify]: Simplify (* (sin lambda2) 0) into 0 4.598 * [backup-simplify]: Simplify (- 0) into 0 4.598 * [backup-simplify]: Simplify (+ (cos lambda2) 0) into (cos lambda2) 4.599 * [backup-simplify]: Simplify (* (cos lambda1) (cos lambda2)) into (* (cos lambda1) (cos lambda2)) 4.599 * [backup-simplify]: Simplify (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) into (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) 4.599 * [backup-simplify]: Simplify (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) 1) into (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) 4.599 * [taylor]: Taking taylor expansion of (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) in lambda1 4.599 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 4.599 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 4.599 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.599 * [backup-simplify]: Simplify 0 into 0 4.599 * [backup-simplify]: Simplify 1 into 1 4.599 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 4.599 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.599 * [backup-simplify]: Simplify lambda2 into lambda2 4.599 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 4.599 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 4.599 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 4.599 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 4.599 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.599 * [backup-simplify]: Simplify 0 into 0 4.599 * [backup-simplify]: Simplify 1 into 1 4.599 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 4.599 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.599 * [backup-simplify]: Simplify lambda2 into lambda2 4.599 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 4.599 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 4.599 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 4.599 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 4.599 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 4.599 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0 4.599 * [backup-simplify]: Simplify (* (cos lambda2) 1) into (cos lambda2) 4.599 * [backup-simplify]: Simplify (* (sin lambda2) 0) into 0 4.600 * [backup-simplify]: Simplify (- 0) into 0 4.600 * [backup-simplify]: Simplify (+ (cos lambda2) 0) into (cos lambda2) 4.600 * [backup-simplify]: Simplify (* 1 (cos lambda2)) into (cos lambda2) 4.600 * [backup-simplify]: Simplify (+ 0 (cos lambda2)) into (cos lambda2) 4.600 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 4.600 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.600 * [backup-simplify]: Simplify 0 into 0 4.600 * [backup-simplify]: Simplify 1 into 1 4.600 * [backup-simplify]: Simplify 1 into 1 4.600 * [backup-simplify]: Simplify (+ 0) into 0 4.600 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 1)) into 0 4.601 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.601 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 0)) into 0 4.602 * [backup-simplify]: Simplify (- 0) into 0 4.602 * [backup-simplify]: Simplify (+ 0 0) into 0 4.602 * [backup-simplify]: Simplify (+ 0) into 0 4.602 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 4.603 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.603 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 4.603 * [backup-simplify]: Simplify (+ 0 0) into 0 4.604 * [backup-simplify]: Simplify (+ 0) into 0 4.604 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (* 0 1)) into 0 4.604 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.605 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (* 0 0)) into 0 4.605 * [backup-simplify]: Simplify (+ 0 0) into 0 4.605 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (* 0 (sin lambda2))) into 0 4.605 * [backup-simplify]: Simplify (+ 0) into 0 4.606 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 1)) into 0 4.606 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.607 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 0)) into 0 4.607 * [backup-simplify]: Simplify (- 0) into 0 4.607 * [backup-simplify]: Simplify (+ 0 0) into 0 4.607 * [backup-simplify]: Simplify (+ 0) into 0 4.608 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (* 0 1)) into 0 4.608 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.608 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (* 0 0)) into 0 4.609 * [backup-simplify]: Simplify (- 0) into 0 4.609 * [backup-simplify]: Simplify (+ 0 0) into 0 4.609 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (* 0 (cos lambda2))) into 0 4.609 * [backup-simplify]: Simplify (+ 0 0) into 0 4.609 * [backup-simplify]: Simplify (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) 0) (* 0 (cos phi2))) into 0 4.610 * [backup-simplify]: Simplify (+ 0) into 0 4.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)))) into 0 4.610 * [taylor]: Taking taylor expansion of 0 in phi2 4.610 * [backup-simplify]: Simplify 0 into 0 4.610 * [taylor]: Taking taylor expansion of 0 in lambda1 4.610 * [backup-simplify]: Simplify 0 into 0 4.610 * [taylor]: Taking taylor expansion of 0 in lambda2 4.610 * [backup-simplify]: Simplify 0 into 0 4.610 * [backup-simplify]: Simplify 0 into 0 4.610 * [backup-simplify]: Simplify (+ 0) into 0 4.611 * [backup-simplify]: Simplify (+ 0) into 0 4.611 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 4.612 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.612 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 4.613 * [backup-simplify]: Simplify (+ 0 0) into 0 4.613 * [backup-simplify]: Simplify (+ 0) into 0 4.613 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (* 0 1)) into 0 4.614 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.615 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (* 0 0)) into 0 4.615 * [backup-simplify]: Simplify (+ 0 0) into 0 4.615 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (* 0 (sin lambda2))) into 0 4.616 * [backup-simplify]: Simplify (+ 0) into 0 4.616 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 1)) into 0 4.617 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.617 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 0)) into 0 4.618 * [backup-simplify]: Simplify (- 0) into 0 4.618 * [backup-simplify]: Simplify (+ 0 0) into 0 4.619 * [backup-simplify]: Simplify (+ 0) into 0 4.619 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (* 0 1)) into 0 4.620 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.620 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (* 0 0)) into 0 4.621 * [backup-simplify]: Simplify (- 0) into 0 4.621 * [backup-simplify]: Simplify (+ 0 0) into 0 4.621 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (* 0 (cos lambda2))) into 0 4.622 * [backup-simplify]: Simplify (+ 0 0) into 0 4.622 * [backup-simplify]: Simplify (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) 0) (* 0 1)) into 0 4.622 * [taylor]: Taking taylor expansion of 0 in lambda1 4.622 * [backup-simplify]: Simplify 0 into 0 4.622 * [taylor]: Taking taylor expansion of 0 in lambda2 4.622 * [backup-simplify]: Simplify 0 into 0 4.622 * [backup-simplify]: Simplify 0 into 0 4.623 * [backup-simplify]: Simplify (+ 0) into 0 4.623 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 4.624 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.625 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 4.625 * [backup-simplify]: Simplify (+ 0 0) into 0 4.626 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.626 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2) 4.626 * [backup-simplify]: Simplify (+ 0) into 0 4.627 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 1)) into 0 4.628 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.628 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 0)) into 0 4.629 * [backup-simplify]: Simplify (- 0) into 0 4.629 * [backup-simplify]: Simplify (+ 0 0) into 0 4.629 * [backup-simplify]: Simplify (+ 0) into 0 4.630 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos lambda2))) into 0 4.630 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 4.630 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 4.630 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.630 * [backup-simplify]: Simplify 0 into 0 4.630 * [backup-simplify]: Simplify 1 into 1 4.630 * [backup-simplify]: Simplify 0 into 0 4.631 * [backup-simplify]: Simplify (+ 0) into 0 4.631 * [backup-simplify]: Simplify 0 into 0 4.632 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.632 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 1))) into 0 4.633 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.633 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 0))) into 0 4.633 * [backup-simplify]: Simplify (- 0) into 0 4.633 * [backup-simplify]: Simplify (+ 0 0) into 0 4.634 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.634 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 4.635 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.635 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 4.636 * [backup-simplify]: Simplify (+ 0 0) into 0 4.636 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.637 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (+ (* 0 0) (* 0 1))) into 0 4.637 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.637 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (+ (* 0 0) (* 0 0))) into 0 4.638 * [backup-simplify]: Simplify (+ 0 0) into 0 4.638 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (+ (* 0 0) (* 0 (sin lambda2)))) into 0 4.638 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.639 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 4.639 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.640 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 4.640 * [backup-simplify]: Simplify (- 0) into 0 4.640 * [backup-simplify]: Simplify (+ 0 0) into 0 4.641 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.641 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (+ (* 0 0) (* 0 1))) into 0 4.642 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.642 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (+ (* 0 0) (* 0 0))) into 0 4.642 * [backup-simplify]: Simplify (- 0) into 0 4.643 * [backup-simplify]: Simplify (+ 0 0) into 0 4.643 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (+ (* 0 0) (* 0 (cos lambda2)))) into 0 4.643 * [backup-simplify]: Simplify (+ 0 0) into 0 4.644 * [backup-simplify]: Simplify (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) 0) (+ (* 0 0) (* 0 (cos phi2)))) into 0 4.645 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 4.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/2 (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2))))) into (- (+ (* 1/2 (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* 1/2 (* (cos phi2) (* (cos lambda1) (cos lambda2)))))) 4.645 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* 1/2 (* (cos phi2) (* (cos lambda1) (cos lambda2)))))) in phi2 4.645 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* 1/2 (* (cos phi2) (* (cos lambda1) (cos lambda2))))) in phi2 4.645 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos phi2) (* (sin lambda1) (sin lambda2)))) in phi2 4.645 * [taylor]: Taking taylor expansion of 1/2 in phi2 4.645 * [backup-simplify]: Simplify 1/2 into 1/2 4.645 * [taylor]: Taking taylor expansion of (* (cos phi2) (* (sin lambda1) (sin lambda2))) in phi2 4.645 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 4.645 * [taylor]: Taking taylor expansion of phi2 in phi2 4.645 * [backup-simplify]: Simplify 0 into 0 4.645 * [backup-simplify]: Simplify 1 into 1 4.645 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi2 4.646 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 4.646 * [taylor]: Taking taylor expansion of lambda1 in phi2 4.646 * [backup-simplify]: Simplify lambda1 into lambda1 4.646 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 4.646 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 4.646 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 4.646 * [taylor]: Taking taylor expansion of lambda2 in phi2 4.646 * [backup-simplify]: Simplify lambda2 into lambda2 4.646 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 4.646 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 4.646 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos phi2) (* (cos lambda1) (cos lambda2)))) in phi2 4.646 * [taylor]: Taking taylor expansion of 1/2 in phi2 4.646 * [backup-simplify]: Simplify 1/2 into 1/2 4.646 * [taylor]: Taking taylor expansion of (* (cos phi2) (* (cos lambda1) (cos lambda2))) in phi2 4.646 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 4.646 * [taylor]: Taking taylor expansion of phi2 in phi2 4.646 * [backup-simplify]: Simplify 0 into 0 4.646 * [backup-simplify]: Simplify 1 into 1 4.646 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi2 4.646 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 4.646 * [taylor]: Taking taylor expansion of lambda1 in phi2 4.646 * [backup-simplify]: Simplify lambda1 into lambda1 4.646 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 4.646 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 4.646 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 4.646 * [taylor]: Taking taylor expansion of lambda2 in phi2 4.646 * [backup-simplify]: Simplify lambda2 into lambda2 4.646 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 4.646 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 4.646 * [backup-simplify]: Simplify (* (sin lambda1) 1) into (sin lambda1) 4.646 * [backup-simplify]: Simplify (* (cos lambda1) 0) into 0 4.646 * [backup-simplify]: Simplify (+ (sin lambda1) 0) into (sin lambda1) 4.646 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 4.646 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 4.646 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 4.646 * [backup-simplify]: Simplify (* (sin lambda1) (sin lambda2)) into (* (sin lambda1) (sin lambda2)) 4.646 * [backup-simplify]: Simplify (* 1 (* (sin lambda1) (sin lambda2))) into (* (sin lambda1) (sin lambda2)) 4.646 * [backup-simplify]: Simplify (* 1/2 (* (sin lambda1) (sin lambda2))) into (* 1/2 (* (sin lambda1) (sin lambda2))) 4.646 * [backup-simplify]: Simplify (* (cos lambda1) 1) into (cos lambda1) 4.647 * [backup-simplify]: Simplify (* (sin lambda1) 0) into 0 4.647 * [backup-simplify]: Simplify (- 0) into 0 4.647 * [backup-simplify]: Simplify (+ (cos lambda1) 0) into (cos lambda1) 4.647 * [backup-simplify]: Simplify (* (cos lambda2) 1) into (cos lambda2) 4.647 * [backup-simplify]: Simplify (* (sin lambda2) 0) into 0 4.647 * [backup-simplify]: Simplify (- 0) into 0 4.647 * [backup-simplify]: Simplify (+ (cos lambda2) 0) into (cos lambda2) 4.647 * [backup-simplify]: Simplify (* (cos lambda1) (cos lambda2)) into (* (cos lambda1) (cos lambda2)) 4.647 * [backup-simplify]: Simplify (* 1 (* (cos lambda1) (cos lambda2))) into (* (cos lambda1) (cos lambda2)) 4.647 * [backup-simplify]: Simplify (* 1/2 (* (cos lambda1) (cos lambda2))) into (* 1/2 (* (cos lambda1) (cos lambda2))) 4.648 * [backup-simplify]: Simplify (+ (* 1/2 (* (sin lambda1) (sin lambda2))) (* 1/2 (* (cos lambda1) (cos lambda2)))) into (+ (* 1/2 (* (sin lambda1) (sin lambda2))) (* 1/2 (* (cos lambda1) (cos lambda2)))) 4.648 * [backup-simplify]: Simplify (- (+ (* 1/2 (* (sin lambda1) (sin lambda2))) (* 1/2 (* (cos lambda1) (cos lambda2))))) into (- (+ (* 1/2 (* (sin lambda1) (sin lambda2))) (* 1/2 (* (cos lambda1) (cos lambda2))))) 4.648 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* (sin lambda1) (sin lambda2))) (* 1/2 (* (cos lambda1) (cos lambda2))))) in lambda1 4.648 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (sin lambda1) (sin lambda2))) (* 1/2 (* (cos lambda1) (cos lambda2)))) in lambda1 4.648 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin lambda2))) in lambda1 4.648 * [taylor]: Taking taylor expansion of 1/2 in lambda1 4.648 * [backup-simplify]: Simplify 1/2 into 1/2 4.648 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 4.648 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 4.648 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.648 * [backup-simplify]: Simplify 0 into 0 4.648 * [backup-simplify]: Simplify 1 into 1 4.648 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 4.648 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.648 * [backup-simplify]: Simplify lambda2 into lambda2 4.648 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 4.648 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 4.648 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (cos lambda2))) in lambda1 4.648 * [taylor]: Taking taylor expansion of 1/2 in lambda1 4.648 * [backup-simplify]: Simplify 1/2 into 1/2 4.648 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 4.648 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 4.648 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.648 * [backup-simplify]: Simplify 0 into 0 4.648 * [backup-simplify]: Simplify 1 into 1 4.648 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 4.648 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.648 * [backup-simplify]: Simplify lambda2 into lambda2 4.648 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 4.648 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 4.648 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 4.648 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 4.648 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 4.648 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0 4.649 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.649 * [backup-simplify]: Simplify (* (cos lambda2) 1) into (cos lambda2) 4.649 * [backup-simplify]: Simplify (* (sin lambda2) 0) into 0 4.649 * [backup-simplify]: Simplify (- 0) into 0 4.649 * [backup-simplify]: Simplify (+ (cos lambda2) 0) into (cos lambda2) 4.649 * [backup-simplify]: Simplify (* 1 (cos lambda2)) into (cos lambda2) 4.649 * [backup-simplify]: Simplify (* 1/2 (cos lambda2)) into (* 1/2 (cos lambda2)) 4.649 * [backup-simplify]: Simplify (+ 0 (* 1/2 (cos lambda2))) into (* 1/2 (cos lambda2)) 4.649 * [backup-simplify]: Simplify (- (* 1/2 (cos lambda2))) into (- (* 1/2 (cos lambda2))) 4.649 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos lambda2))) in lambda2 4.649 * [taylor]: Taking taylor expansion of (* 1/2 (cos lambda2)) in lambda2 4.649 * [taylor]: Taking taylor expansion of 1/2 in lambda2 4.649 * [backup-simplify]: Simplify 1/2 into 1/2 4.649 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 4.649 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.649 * [backup-simplify]: Simplify 0 into 0 4.649 * [backup-simplify]: Simplify 1 into 1 4.650 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.650 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.650 * [backup-simplify]: Simplify -1/2 into -1/2 4.650 * [taylor]: Taking taylor expansion of 0 in lambda1 4.650 * [backup-simplify]: Simplify 0 into 0 4.650 * [taylor]: Taking taylor expansion of 0 in lambda2 4.650 * [backup-simplify]: Simplify 0 into 0 4.650 * [backup-simplify]: Simplify 0 into 0 4.651 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 4.651 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.652 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 4.652 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.653 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 4.653 * [backup-simplify]: Simplify (+ 0 0) into 0 4.653 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.654 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (+ (* 0 0) (* 0 1))) into 0 4.654 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.656 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (+ (* 0 0) (* 0 0))) into 0 4.657 * [backup-simplify]: Simplify (+ 0 0) into 0 4.657 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (+ (* 0 0) (* 0 (sin lambda2)))) into 0 4.658 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.658 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 4.659 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.659 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 4.659 * [backup-simplify]: Simplify (- 0) into 0 4.659 * [backup-simplify]: Simplify (+ 0 0) into 0 4.660 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.661 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (+ (* 0 0) (* 0 1))) into 0 4.662 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.662 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (+ (* 0 0) (* 0 0))) into 0 4.663 * [backup-simplify]: Simplify (- 0) into 0 4.663 * [backup-simplify]: Simplify (+ 0 0) into 0 4.664 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (+ (* 0 0) (* 0 (cos lambda2)))) into 0 4.664 * [backup-simplify]: Simplify (+ 0 0) into 0 4.665 * [backup-simplify]: Simplify (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) -1/2) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/2 (* (sin lambda1) (sin lambda2))) (* 1/2 (* (cos lambda1) (cos lambda2))))) 4.665 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* (sin lambda1) (sin lambda2))) (* 1/2 (* (cos lambda1) (cos lambda2))))) in lambda1 4.665 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (sin lambda1) (sin lambda2))) (* 1/2 (* (cos lambda1) (cos lambda2)))) in lambda1 4.665 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin lambda2))) in lambda1 4.665 * [taylor]: Taking taylor expansion of 1/2 in lambda1 4.665 * [backup-simplify]: Simplify 1/2 into 1/2 4.665 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 4.665 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 4.665 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.665 * [backup-simplify]: Simplify 0 into 0 4.665 * [backup-simplify]: Simplify 1 into 1 4.665 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 4.665 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.665 * [backup-simplify]: Simplify lambda2 into lambda2 4.666 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 4.666 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 4.666 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (cos lambda2))) in lambda1 4.666 * [taylor]: Taking taylor expansion of 1/2 in lambda1 4.666 * [backup-simplify]: Simplify 1/2 into 1/2 4.666 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 4.666 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 4.666 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.666 * [backup-simplify]: Simplify 0 into 0 4.666 * [backup-simplify]: Simplify 1 into 1 4.666 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 4.666 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.666 * [backup-simplify]: Simplify lambda2 into lambda2 4.666 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 4.666 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 4.666 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 4.666 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 4.666 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 4.666 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0 4.667 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.667 * [backup-simplify]: Simplify (* (cos lambda2) 1) into (cos lambda2) 4.667 * [backup-simplify]: Simplify (* (sin lambda2) 0) into 0 4.667 * [backup-simplify]: Simplify (- 0) into 0 4.667 * [backup-simplify]: Simplify (+ (cos lambda2) 0) into (cos lambda2) 4.668 * [backup-simplify]: Simplify (* 1 (cos lambda2)) into (cos lambda2) 4.668 * [backup-simplify]: Simplify (* 1/2 (cos lambda2)) into (* 1/2 (cos lambda2)) 4.668 * [backup-simplify]: Simplify (+ 0 (* 1/2 (cos lambda2))) into (* 1/2 (cos lambda2)) 4.668 * [backup-simplify]: Simplify (- (* 1/2 (cos lambda2))) into (- (* 1/2 (cos lambda2))) 4.668 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos lambda2))) in lambda2 4.668 * [taylor]: Taking taylor expansion of (* 1/2 (cos lambda2)) in lambda2 4.668 * [taylor]: Taking taylor expansion of 1/2 in lambda2 4.668 * [backup-simplify]: Simplify 1/2 into 1/2 4.668 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 4.668 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.668 * [backup-simplify]: Simplify 0 into 0 4.668 * [backup-simplify]: Simplify 1 into 1 4.669 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.669 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.669 * [backup-simplify]: Simplify -1/2 into -1/2 4.669 * [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)))) 4.670 * [backup-simplify]: Simplify (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))) into (* (cos (/ 1 phi2)) (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1)))) 4.670 * [approximate]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1)))) in (phi1 phi2 lambda1 lambda2) around 0 4.670 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1)))) in lambda2 4.670 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 4.670 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 4.670 * [taylor]: Taking taylor expansion of phi2 in lambda2 4.670 * [backup-simplify]: Simplify phi2 into phi2 4.670 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 4.670 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 4.670 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 4.670 * [taylor]: Taking taylor expansion of (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1))) in lambda2 4.670 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda2 4.670 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 4.670 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 4.670 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 4.670 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.670 * [backup-simplify]: Simplify 0 into 0 4.670 * [backup-simplify]: Simplify 1 into 1 4.671 * [backup-simplify]: Simplify (/ 1 1) into 1 4.671 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 4.671 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 4.671 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 4.671 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.671 * [backup-simplify]: Simplify lambda1 into lambda1 4.671 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 4.671 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 4.671 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 4.671 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2 4.671 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 4.671 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 4.671 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.671 * [backup-simplify]: Simplify 0 into 0 4.671 * [backup-simplify]: Simplify 1 into 1 4.672 * [backup-simplify]: Simplify (/ 1 1) into 1 4.672 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 4.672 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 4.672 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 4.672 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.672 * [backup-simplify]: Simplify lambda1 into lambda1 4.672 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 4.672 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 4.672 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 4.672 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 4.672 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 4.672 * [taylor]: Taking taylor expansion of phi1 in lambda2 4.672 * [backup-simplify]: Simplify phi1 into phi1 4.672 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 4.673 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 4.673 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 4.673 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1)))) in lambda1 4.673 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 4.673 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 4.673 * [taylor]: Taking taylor expansion of phi2 in lambda1 4.673 * [backup-simplify]: Simplify phi2 into phi2 4.673 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 4.673 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 4.673 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 4.673 * [taylor]: Taking taylor expansion of (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1))) in lambda1 4.673 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda1 4.673 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 4.673 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 4.673 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 4.673 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.673 * [backup-simplify]: Simplify lambda2 into lambda2 4.673 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 4.673 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 4.673 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 4.673 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 4.674 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 4.674 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.674 * [backup-simplify]: Simplify 0 into 0 4.674 * [backup-simplify]: Simplify 1 into 1 4.674 * [backup-simplify]: Simplify (/ 1 1) into 1 4.674 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 4.674 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1 4.674 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 4.674 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 4.674 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.674 * [backup-simplify]: Simplify lambda2 into lambda2 4.674 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 4.674 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 4.675 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 4.675 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 4.675 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 4.675 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.675 * [backup-simplify]: Simplify 0 into 0 4.675 * [backup-simplify]: Simplify 1 into 1 4.675 * [backup-simplify]: Simplify (/ 1 1) into 1 4.675 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 4.675 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 4.675 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 4.675 * [taylor]: Taking taylor expansion of phi1 in lambda1 4.675 * [backup-simplify]: Simplify phi1 into phi1 4.675 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 4.675 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 4.675 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 4.676 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1)))) in phi2 4.676 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 4.676 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 4.676 * [taylor]: Taking taylor expansion of phi2 in phi2 4.676 * [backup-simplify]: Simplify 0 into 0 4.676 * [backup-simplify]: Simplify 1 into 1 4.676 * [backup-simplify]: Simplify (/ 1 1) into 1 4.676 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 4.676 * [taylor]: Taking taylor expansion of (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1))) in phi2 4.676 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi2 4.676 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in phi2 4.676 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 4.676 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 4.676 * [taylor]: Taking taylor expansion of lambda2 in phi2 4.676 * [backup-simplify]: Simplify lambda2 into lambda2 4.676 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 4.677 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 4.677 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 4.677 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 4.677 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 4.677 * [taylor]: Taking taylor expansion of lambda1 in phi2 4.677 * [backup-simplify]: Simplify lambda1 into lambda1 4.677 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 4.677 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 4.677 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 4.677 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi2 4.677 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi2 4.677 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 4.677 * [taylor]: Taking taylor expansion of lambda2 in phi2 4.677 * [backup-simplify]: Simplify lambda2 into lambda2 4.677 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 4.677 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 4.677 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 4.677 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi2 4.677 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 4.677 * [taylor]: Taking taylor expansion of lambda1 in phi2 4.677 * [backup-simplify]: Simplify lambda1 into lambda1 4.678 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 4.678 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 4.678 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 4.678 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 4.678 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 4.678 * [taylor]: Taking taylor expansion of phi1 in phi2 4.678 * [backup-simplify]: Simplify phi1 into phi1 4.678 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 4.678 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 4.678 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 4.678 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1)))) in phi1 4.678 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 4.678 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 4.678 * [taylor]: Taking taylor expansion of phi2 in phi1 4.678 * [backup-simplify]: Simplify phi2 into phi2 4.678 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 4.678 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 4.678 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 4.678 * [taylor]: Taking taylor expansion of (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1))) in phi1 4.678 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi1 4.678 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in phi1 4.679 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 4.679 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 4.679 * [taylor]: Taking taylor expansion of lambda2 in phi1 4.679 * [backup-simplify]: Simplify lambda2 into lambda2 4.679 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 4.679 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 4.679 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 4.679 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 4.679 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 4.679 * [taylor]: Taking taylor expansion of lambda1 in phi1 4.679 * [backup-simplify]: Simplify lambda1 into lambda1 4.679 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 4.679 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 4.679 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 4.679 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi1 4.679 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi1 4.679 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 4.679 * [taylor]: Taking taylor expansion of lambda2 in phi1 4.679 * [backup-simplify]: Simplify lambda2 into lambda2 4.679 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 4.679 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 4.679 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 4.680 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi1 4.680 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 4.680 * [taylor]: Taking taylor expansion of lambda1 in phi1 4.680 * [backup-simplify]: Simplify lambda1 into lambda1 4.680 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 4.680 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 4.680 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 4.680 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 4.680 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 4.680 * [taylor]: Taking taylor expansion of phi1 in phi1 4.680 * [backup-simplify]: Simplify 0 into 0 4.680 * [backup-simplify]: Simplify 1 into 1 4.681 * [backup-simplify]: Simplify (/ 1 1) into 1 4.681 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 4.681 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1)))) in phi1 4.681 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 4.681 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 4.681 * [taylor]: Taking taylor expansion of phi2 in phi1 4.681 * [backup-simplify]: Simplify phi2 into phi2 4.681 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 4.681 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 4.681 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 4.681 * [taylor]: Taking taylor expansion of (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1))) in phi1 4.681 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi1 4.681 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in phi1 4.681 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 4.681 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 4.681 * [taylor]: Taking taylor expansion of lambda2 in phi1 4.681 * [backup-simplify]: Simplify lambda2 into lambda2 4.681 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 4.681 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 4.681 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 4.682 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 4.682 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 4.682 * [taylor]: Taking taylor expansion of lambda1 in phi1 4.682 * [backup-simplify]: Simplify lambda1 into lambda1 4.682 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 4.682 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 4.682 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 4.682 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi1 4.682 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi1 4.682 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 4.682 * [taylor]: Taking taylor expansion of lambda2 in phi1 4.682 * [backup-simplify]: Simplify lambda2 into lambda2 4.682 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 4.682 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 4.682 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 4.682 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi1 4.682 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 4.682 * [taylor]: Taking taylor expansion of lambda1 in phi1 4.682 * [backup-simplify]: Simplify lambda1 into lambda1 4.682 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 4.682 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 4.683 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 4.683 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 4.683 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 4.683 * [taylor]: Taking taylor expansion of phi1 in phi1 4.683 * [backup-simplify]: Simplify 0 into 0 4.683 * [backup-simplify]: Simplify 1 into 1 4.683 * [backup-simplify]: Simplify (/ 1 1) into 1 4.683 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 4.684 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2)) 4.684 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 0) into 0 4.684 * [backup-simplify]: Simplify (- 0) into 0 4.684 * [backup-simplify]: Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2)) 4.684 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 4.685 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 4.685 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 4.685 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 4.685 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 4.685 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 4.685 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 4.686 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 1) into (cos (/ 1 lambda2)) 4.686 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 0) into 0 4.686 * [backup-simplify]: Simplify (- 0) into 0 4.686 * [backup-simplify]: Simplify (+ (cos (/ 1 lambda2)) 0) into (cos (/ 1 lambda2)) 4.686 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 1) into (cos (/ 1 lambda1)) 4.686 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 0) into 0 4.687 * [backup-simplify]: Simplify (- 0) into 0 4.687 * [backup-simplify]: Simplify (+ (cos (/ 1 lambda1)) 0) into (cos (/ 1 lambda1)) 4.687 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) into (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) 4.687 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) into (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) 4.688 * [backup-simplify]: Simplify (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1))) into (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1))) 4.688 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) 4.688 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in phi2 4.688 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 4.688 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 4.688 * [taylor]: Taking taylor expansion of phi1 in phi2 4.689 * [backup-simplify]: Simplify phi1 into phi1 4.689 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 4.689 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 4.689 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 4.689 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi2 4.689 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 4.689 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 4.689 * [taylor]: Taking taylor expansion of phi2 in phi2 4.689 * [backup-simplify]: Simplify 0 into 0 4.689 * [backup-simplify]: Simplify 1 into 1 4.689 * [backup-simplify]: Simplify (/ 1 1) into 1 4.690 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 4.690 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi2 4.690 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in phi2 4.690 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 4.690 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 4.690 * [taylor]: Taking taylor expansion of lambda2 in phi2 4.690 * [backup-simplify]: Simplify lambda2 into lambda2 4.690 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 4.690 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 4.690 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 4.690 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 4.690 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 4.690 * [taylor]: Taking taylor expansion of lambda1 in phi2 4.690 * [backup-simplify]: Simplify lambda1 into lambda1 4.690 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 4.690 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 4.690 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 4.690 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi2 4.690 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi2 4.690 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 4.690 * [taylor]: Taking taylor expansion of lambda2 in phi2 4.690 * [backup-simplify]: Simplify lambda2 into lambda2 4.691 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 4.691 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 4.691 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 4.691 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi2 4.691 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 4.691 * [taylor]: Taking taylor expansion of lambda1 in phi2 4.691 * [backup-simplify]: Simplify lambda1 into lambda1 4.691 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 4.691 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 4.691 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 4.691 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1)) 4.691 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 0) into 0 4.692 * [backup-simplify]: Simplify (- 0) into 0 4.692 * [backup-simplify]: Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1)) 4.692 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 4.692 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 4.692 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 4.692 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 4.692 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 4.692 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 4.693 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 4.693 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 1) into (cos (/ 1 lambda2)) 4.693 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 0) into 0 4.693 * [backup-simplify]: Simplify (- 0) into 0 4.693 * [backup-simplify]: Simplify (+ (cos (/ 1 lambda2)) 0) into (cos (/ 1 lambda2)) 4.693 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 1) into (cos (/ 1 lambda1)) 4.693 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 0) into 0 4.694 * [backup-simplify]: Simplify (- 0) into 0 4.694 * [backup-simplify]: Simplify (+ (cos (/ 1 lambda1)) 0) into (cos (/ 1 lambda1)) 4.694 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) into (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) 4.694 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) into (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) 4.695 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) into (* (cos (/ 1 phi2)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) 4.695 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) into (* (cos (/ 1 phi2)) (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1)))) 4.695 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1)))) in lambda1 4.695 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 4.695 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 4.695 * [taylor]: Taking taylor expansion of phi2 in lambda1 4.695 * [backup-simplify]: Simplify phi2 into phi2 4.695 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 4.695 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 4.696 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 4.696 * [taylor]: Taking taylor expansion of (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1))) in lambda1 4.696 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda1 4.696 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 4.696 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 4.696 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 4.696 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.696 * [backup-simplify]: Simplify lambda2 into lambda2 4.696 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 4.696 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 4.696 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 4.696 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 4.696 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 4.696 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.696 * [backup-simplify]: Simplify 0 into 0 4.696 * [backup-simplify]: Simplify 1 into 1 4.697 * [backup-simplify]: Simplify (/ 1 1) into 1 4.697 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 4.697 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1 4.697 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 4.697 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 4.697 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.697 * [backup-simplify]: Simplify lambda2 into lambda2 4.697 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 4.697 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 4.697 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 4.697 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 4.697 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 4.697 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.697 * [backup-simplify]: Simplify 0 into 0 4.697 * [backup-simplify]: Simplify 1 into 1 4.698 * [backup-simplify]: Simplify (/ 1 1) into 1 4.698 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 4.698 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 4.698 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 4.698 * [taylor]: Taking taylor expansion of phi1 in lambda1 4.698 * [backup-simplify]: Simplify phi1 into phi1 4.698 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 4.698 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 4.698 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 4.698 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2)) 4.698 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 0) into 0 4.699 * [backup-simplify]: Simplify (- 0) into 0 4.699 * [backup-simplify]: Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2)) 4.699 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 4.699 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 4.699 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 4.699 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 4.699 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 1) into (cos (/ 1 lambda2)) 4.700 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 0) into 0 4.700 * [backup-simplify]: Simplify (- 0) into 0 4.700 * [backup-simplify]: Simplify (+ (cos (/ 1 lambda2)) 0) into (cos (/ 1 lambda2)) 4.700 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) into (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) 4.700 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) into (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) 4.701 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1)) 4.701 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 0) into 0 4.701 * [backup-simplify]: Simplify (- 0) into 0 4.701 * [backup-simplify]: Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1)) 4.702 * [backup-simplify]: Simplify (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1))) into (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1))) 4.702 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) 4.702 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda2 4.702 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 4.702 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 4.702 * [taylor]: Taking taylor expansion of phi1 in lambda2 4.702 * [backup-simplify]: Simplify phi1 into phi1 4.702 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 4.702 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 4.702 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 4.702 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda2 4.702 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 4.702 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 4.703 * [taylor]: Taking taylor expansion of phi2 in lambda2 4.703 * [backup-simplify]: Simplify phi2 into phi2 4.703 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 4.703 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 4.703 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 4.703 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda2 4.703 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 4.703 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 4.703 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 4.703 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.703 * [backup-simplify]: Simplify 0 into 0 4.703 * [backup-simplify]: Simplify 1 into 1 4.704 * [backup-simplify]: Simplify (/ 1 1) into 1 4.704 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 4.704 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 4.704 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 4.704 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.704 * [backup-simplify]: Simplify lambda1 into lambda1 4.704 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 4.704 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 4.704 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 4.704 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2 4.705 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 4.705 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 4.705 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.705 * [backup-simplify]: Simplify 0 into 0 4.705 * [backup-simplify]: Simplify 1 into 1 4.705 * [backup-simplify]: Simplify (/ 1 1) into 1 4.705 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 4.705 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 4.705 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 4.705 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.705 * [backup-simplify]: Simplify lambda1 into lambda1 4.705 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 4.705 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 4.706 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 4.706 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1)) 4.706 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 0) into 0 4.706 * [backup-simplify]: Simplify (- 0) into 0 4.706 * [backup-simplify]: Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1)) 4.706 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2)) 4.706 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 0) into 0 4.707 * [backup-simplify]: Simplify (- 0) into 0 4.707 * [backup-simplify]: Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2)) 4.707 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 4.707 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 4.707 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 4.707 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 4.707 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 1) into (cos (/ 1 lambda1)) 4.708 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 0) into 0 4.708 * [backup-simplify]: Simplify (- 0) into 0 4.708 * [backup-simplify]: Simplify (+ (cos (/ 1 lambda1)) 0) into (cos (/ 1 lambda1)) 4.708 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) into (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) 4.709 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) into (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) 4.709 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) into (* (cos (/ 1 phi2)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) 4.709 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) into (* (cos (/ 1 phi2)) (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1)))) 4.710 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) 4.710 * [backup-simplify]: Simplify (+ 0) into 0 4.711 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 4.711 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 4.712 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.712 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 4.712 * [backup-simplify]: Simplify (+ 0 0) into 0 4.713 * [backup-simplify]: Simplify (+ 0) into 0 4.713 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 4.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 4.714 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.714 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 4.714 * [backup-simplify]: Simplify (+ 0 0) into 0 4.714 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 4.715 * [backup-simplify]: Simplify (+ 0) into 0 4.715 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 1)) into 0 4.715 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 4.715 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.716 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 0)) into 0 4.716 * [backup-simplify]: Simplify (- 0) into 0 4.716 * [backup-simplify]: Simplify (+ 0 0) into 0 4.716 * [backup-simplify]: Simplify (+ 0) into 0 4.717 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 1)) into 0 4.717 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 4.717 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.718 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 0)) into 0 4.718 * [backup-simplify]: Simplify (- 0) into 0 4.718 * [backup-simplify]: Simplify (+ 0 0) into 0 4.718 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 (cos (/ 1 lambda1)))) into 0 4.719 * [backup-simplify]: Simplify (+ 0 0) into 0 4.719 * [backup-simplify]: Simplify (+ (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) 0) (* 0 (cos (/ 1 phi1)))) into 0 4.719 * [backup-simplify]: Simplify (+ 0) into 0 4.719 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0 4.719 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 4.720 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.720 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0 4.721 * [backup-simplify]: Simplify (- 0) into 0 4.721 * [backup-simplify]: Simplify (+ 0 0) into 0 4.721 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1))))) into 0 4.721 * [taylor]: Taking taylor expansion of 0 in phi2 4.721 * [backup-simplify]: Simplify 0 into 0 4.721 * [taylor]: Taking taylor expansion of 0 in lambda1 4.721 * [backup-simplify]: Simplify 0 into 0 4.721 * [taylor]: Taking taylor expansion of 0 in lambda2 4.721 * [backup-simplify]: Simplify 0 into 0 4.721 * [backup-simplify]: Simplify 0 into 0 4.722 * [backup-simplify]: Simplify (+ 0) into 0 4.722 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 4.722 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 4.723 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.723 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 4.723 * [backup-simplify]: Simplify (+ 0 0) into 0 4.724 * [backup-simplify]: Simplify (+ 0) into 0 4.724 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 4.724 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 4.724 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.725 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 4.725 * [backup-simplify]: Simplify (+ 0 0) into 0 4.725 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 4.725 * [backup-simplify]: Simplify (+ 0) into 0 4.726 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 1)) into 0 4.726 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 4.726 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.727 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 0)) into 0 4.727 * [backup-simplify]: Simplify (- 0) into 0 4.727 * [backup-simplify]: Simplify (+ 0 0) into 0 4.727 * [backup-simplify]: Simplify (+ 0) into 0 4.728 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 1)) into 0 4.728 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 4.728 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.728 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 0)) into 0 4.729 * [backup-simplify]: Simplify (- 0) into 0 4.729 * [backup-simplify]: Simplify (+ 0 0) into 0 4.729 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 (cos (/ 1 lambda1)))) into 0 4.729 * [backup-simplify]: Simplify (+ 0 0) into 0 4.730 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) into 0 4.730 * [backup-simplify]: Simplify (+ 0) into 0 4.730 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 1)) into 0 4.730 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 4.731 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.731 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 0)) into 0 4.731 * [backup-simplify]: Simplify (- 0) into 0 4.731 * [backup-simplify]: Simplify (+ 0 0) into 0 4.732 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 (* (cos (/ 1 phi2)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))))) into 0 4.732 * [taylor]: Taking taylor expansion of 0 in lambda1 4.732 * [backup-simplify]: Simplify 0 into 0 4.732 * [taylor]: Taking taylor expansion of 0 in lambda2 4.732 * [backup-simplify]: Simplify 0 into 0 4.732 * [backup-simplify]: Simplify 0 into 0 4.732 * [backup-simplify]: Simplify (+ 0) into 0 4.732 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 1)) into 0 4.733 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 4.733 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.733 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 0)) into 0 4.734 * [backup-simplify]: Simplify (- 0) into 0 4.734 * [backup-simplify]: Simplify (+ 0 0) into 0 4.734 * [backup-simplify]: Simplify (+ 0) into 0 4.734 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 4.734 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 4.735 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.735 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 4.735 * [backup-simplify]: Simplify (+ 0 0) into 0 4.736 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 4.736 * [backup-simplify]: Simplify (+ 0) into 0 4.736 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 1)) into 0 4.736 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 4.737 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.737 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 0)) into 0 4.737 * [backup-simplify]: Simplify (- 0) into 0 4.737 * [backup-simplify]: Simplify (+ 0 0) into 0 4.738 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 (cos (/ 1 lambda1)))) into 0 4.738 * [backup-simplify]: Simplify (+ 0 0) into 0 4.738 * [backup-simplify]: Simplify (+ (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) 0) (* 0 (cos (/ 1 phi1)))) into 0 4.738 * [backup-simplify]: Simplify (+ 0) into 0 4.739 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0 4.739 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 4.739 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.739 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0 4.740 * [backup-simplify]: Simplify (- 0) into 0 4.740 * [backup-simplify]: Simplify (+ 0 0) into 0 4.740 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1))))) into 0 4.740 * [taylor]: Taking taylor expansion of 0 in lambda2 4.741 * [backup-simplify]: Simplify 0 into 0 4.741 * [backup-simplify]: Simplify 0 into 0 4.741 * [backup-simplify]: Simplify (+ 0) into 0 4.741 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 4.742 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 4.742 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.743 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 4.743 * [backup-simplify]: Simplify (+ 0 0) into 0 4.743 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 4.744 * [backup-simplify]: Simplify (+ 0) into 0 4.744 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 1)) into 0 4.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 4.745 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.746 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 0)) into 0 4.746 * [backup-simplify]: Simplify (- 0) into 0 4.746 * [backup-simplify]: Simplify (+ 0 0) into 0 4.747 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 (cos (/ 1 lambda1)))) into 0 4.747 * [backup-simplify]: Simplify (+ 0 0) into 0 4.747 * [backup-simplify]: Simplify (+ 0) into 0 4.748 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0 4.748 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 4.749 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.749 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0 4.749 * [backup-simplify]: Simplify (- 0) into 0 4.750 * [backup-simplify]: Simplify (+ 0 0) into 0 4.750 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) into 0 4.751 * [backup-simplify]: Simplify (+ 0) into 0 4.751 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 1)) into 0 4.752 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 4.752 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.753 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 0)) into 0 4.753 * [backup-simplify]: Simplify (- 0) into 0 4.754 * [backup-simplify]: Simplify (+ 0 0) into 0 4.754 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 (* (cos (/ 1 phi2)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))))) into 0 4.754 * [backup-simplify]: Simplify 0 into 0 4.755 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.756 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 4.756 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 4.756 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.757 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 4.757 * [backup-simplify]: Simplify (+ 0 0) into 0 4.758 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.758 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 4.758 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 4.759 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.759 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 4.759 * [backup-simplify]: Simplify (+ 0 0) into 0 4.760 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 4.760 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.761 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 4.761 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 4.761 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.762 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 4.762 * [backup-simplify]: Simplify (- 0) into 0 4.762 * [backup-simplify]: Simplify (+ 0 0) into 0 4.763 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.763 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 4.763 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 4.764 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.764 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 4.765 * [backup-simplify]: Simplify (- 0) into 0 4.765 * [backup-simplify]: Simplify (+ 0 0) into 0 4.765 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (cos (/ 1 lambda1))))) into 0 4.765 * [backup-simplify]: Simplify (+ 0 0) into 0 4.766 * [backup-simplify]: Simplify (+ (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) 0) (+ (* 0 0) (* 0 (cos (/ 1 phi1))))) into 0 4.766 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.767 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 4.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 4.767 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.768 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 4.768 * [backup-simplify]: Simplify (- 0) into 0 4.768 * [backup-simplify]: Simplify (+ 0 0) into 0 4.769 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1)))))) into 0 4.769 * [taylor]: Taking taylor expansion of 0 in phi2 4.769 * [backup-simplify]: Simplify 0 into 0 4.769 * [taylor]: Taking taylor expansion of 0 in lambda1 4.769 * [backup-simplify]: Simplify 0 into 0 4.769 * [taylor]: Taking taylor expansion of 0 in lambda2 4.769 * [backup-simplify]: Simplify 0 into 0 4.769 * [backup-simplify]: Simplify 0 into 0 4.769 * [taylor]: Taking taylor expansion of 0 in lambda1 4.769 * [backup-simplify]: Simplify 0 into 0 4.769 * [taylor]: Taking taylor expansion of 0 in lambda2 4.769 * [backup-simplify]: Simplify 0 into 0 4.769 * [backup-simplify]: Simplify 0 into 0 4.769 * [backup-simplify]: Simplify (* (cos (/ 1 (/ 1 phi1))) (* (cos (/ 1 (/ 1 phi2))) (+ (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))) (* (cos (/ 1 (/ 1 lambda2))) (cos (/ 1 (/ 1 lambda1))))))) into (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))) 4.770 * [backup-simplify]: Simplify (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) 4.770 * [approximate]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) in (phi1 phi2 lambda1 lambda2) around 0 4.770 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) in lambda2 4.770 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 4.770 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 4.770 * [taylor]: Taking taylor expansion of -1 in lambda2 4.770 * [backup-simplify]: Simplify -1 into -1 4.770 * [taylor]: Taking taylor expansion of phi1 in lambda2 4.770 * [backup-simplify]: Simplify phi1 into phi1 4.770 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 4.770 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 4.770 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 4.770 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) in lambda2 4.770 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 4.770 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 4.770 * [taylor]: Taking taylor expansion of -1 in lambda2 4.770 * [backup-simplify]: Simplify -1 into -1 4.770 * [taylor]: Taking taylor expansion of phi2 in lambda2 4.770 * [backup-simplify]: Simplify phi2 into phi2 4.770 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 4.770 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 4.770 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 4.770 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) in lambda2 4.770 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 4.770 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 4.770 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 4.770 * [taylor]: Taking taylor expansion of -1 in lambda2 4.770 * [backup-simplify]: Simplify -1 into -1 4.770 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.770 * [backup-simplify]: Simplify lambda1 into lambda1 4.770 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 4.770 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 4.770 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 4.770 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 4.770 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 4.770 * [taylor]: Taking taylor expansion of -1 in lambda2 4.770 * [backup-simplify]: Simplify -1 into -1 4.770 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.770 * [backup-simplify]: Simplify 0 into 0 4.770 * [backup-simplify]: Simplify 1 into 1 4.771 * [backup-simplify]: Simplify (/ -1 1) into -1 4.771 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 4.771 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 4.771 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2 4.771 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 4.771 * [taylor]: Taking taylor expansion of -1 in lambda2 4.771 * [backup-simplify]: Simplify -1 into -1 4.771 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.771 * [backup-simplify]: Simplify lambda1 into lambda1 4.771 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 4.771 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 4.771 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 4.771 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2 4.771 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 4.771 * [taylor]: Taking taylor expansion of -1 in lambda2 4.771 * [backup-simplify]: Simplify -1 into -1 4.771 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.771 * [backup-simplify]: Simplify 0 into 0 4.771 * [backup-simplify]: Simplify 1 into 1 4.771 * [backup-simplify]: Simplify (/ -1 1) into -1 4.771 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 4.771 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) in lambda1 4.771 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 4.772 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 4.772 * [taylor]: Taking taylor expansion of -1 in lambda1 4.772 * [backup-simplify]: Simplify -1 into -1 4.772 * [taylor]: Taking taylor expansion of phi1 in lambda1 4.772 * [backup-simplify]: Simplify phi1 into phi1 4.772 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 4.772 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 4.772 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 4.772 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) in lambda1 4.772 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 4.772 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 4.772 * [taylor]: Taking taylor expansion of -1 in lambda1 4.772 * [backup-simplify]: Simplify -1 into -1 4.772 * [taylor]: Taking taylor expansion of phi2 in lambda1 4.772 * [backup-simplify]: Simplify phi2 into phi2 4.772 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 4.772 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 4.772 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 4.772 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) in lambda1 4.772 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 4.772 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 4.772 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 4.772 * [taylor]: Taking taylor expansion of -1 in lambda1 4.772 * [backup-simplify]: Simplify -1 into -1 4.772 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.772 * [backup-simplify]: Simplify 0 into 0 4.772 * [backup-simplify]: Simplify 1 into 1 4.772 * [backup-simplify]: Simplify (/ -1 1) into -1 4.772 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 4.772 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 4.772 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 4.772 * [taylor]: Taking taylor expansion of -1 in lambda1 4.773 * [backup-simplify]: Simplify -1 into -1 4.773 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.773 * [backup-simplify]: Simplify lambda2 into lambda2 4.773 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 4.773 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 4.773 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 4.773 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda1 4.773 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 4.773 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 4.773 * [taylor]: Taking taylor expansion of -1 in lambda1 4.773 * [backup-simplify]: Simplify -1 into -1 4.773 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.773 * [backup-simplify]: Simplify 0 into 0 4.773 * [backup-simplify]: Simplify 1 into 1 4.773 * [backup-simplify]: Simplify (/ -1 1) into -1 4.773 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 4.773 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 4.773 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 4.773 * [taylor]: Taking taylor expansion of -1 in lambda1 4.773 * [backup-simplify]: Simplify -1 into -1 4.773 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.773 * [backup-simplify]: Simplify lambda2 into lambda2 4.773 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 4.773 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 4.773 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 4.773 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) in phi2 4.773 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 4.773 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 4.773 * [taylor]: Taking taylor expansion of -1 in phi2 4.773 * [backup-simplify]: Simplify -1 into -1 4.773 * [taylor]: Taking taylor expansion of phi1 in phi2 4.774 * [backup-simplify]: Simplify phi1 into phi1 4.774 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 4.774 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 4.774 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 4.774 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) in phi2 4.774 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 4.774 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 4.774 * [taylor]: Taking taylor expansion of -1 in phi2 4.774 * [backup-simplify]: Simplify -1 into -1 4.774 * [taylor]: Taking taylor expansion of phi2 in phi2 4.774 * [backup-simplify]: Simplify 0 into 0 4.774 * [backup-simplify]: Simplify 1 into 1 4.774 * [backup-simplify]: Simplify (/ -1 1) into -1 4.774 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 4.774 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) in phi2 4.774 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi2 4.774 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 4.774 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 4.774 * [taylor]: Taking taylor expansion of -1 in phi2 4.774 * [backup-simplify]: Simplify -1 into -1 4.774 * [taylor]: Taking taylor expansion of lambda1 in phi2 4.774 * [backup-simplify]: Simplify lambda1 into lambda1 4.774 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 4.774 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 4.774 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 4.774 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2 4.774 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 4.774 * [taylor]: Taking taylor expansion of -1 in phi2 4.774 * [backup-simplify]: Simplify -1 into -1 4.774 * [taylor]: Taking taylor expansion of lambda2 in phi2 4.774 * [backup-simplify]: Simplify lambda2 into lambda2 4.775 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 4.775 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 4.775 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 4.775 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi2 4.775 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi2 4.775 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 4.775 * [taylor]: Taking taylor expansion of -1 in phi2 4.775 * [backup-simplify]: Simplify -1 into -1 4.775 * [taylor]: Taking taylor expansion of lambda1 in phi2 4.775 * [backup-simplify]: Simplify lambda1 into lambda1 4.775 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 4.775 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 4.775 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 4.775 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi2 4.775 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 4.775 * [taylor]: Taking taylor expansion of -1 in phi2 4.775 * [backup-simplify]: Simplify -1 into -1 4.775 * [taylor]: Taking taylor expansion of lambda2 in phi2 4.775 * [backup-simplify]: Simplify lambda2 into lambda2 4.775 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 4.775 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 4.775 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 4.775 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) in phi1 4.775 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 4.775 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 4.775 * [taylor]: Taking taylor expansion of -1 in phi1 4.775 * [backup-simplify]: Simplify -1 into -1 4.775 * [taylor]: Taking taylor expansion of phi1 in phi1 4.775 * [backup-simplify]: Simplify 0 into 0 4.775 * [backup-simplify]: Simplify 1 into 1 4.776 * [backup-simplify]: Simplify (/ -1 1) into -1 4.776 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 4.776 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) in phi1 4.776 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 4.776 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 4.776 * [taylor]: Taking taylor expansion of -1 in phi1 4.776 * [backup-simplify]: Simplify -1 into -1 4.776 * [taylor]: Taking taylor expansion of phi2 in phi1 4.776 * [backup-simplify]: Simplify phi2 into phi2 4.776 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 4.776 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 4.776 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 4.776 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) in phi1 4.776 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi1 4.776 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 4.776 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 4.776 * [taylor]: Taking taylor expansion of -1 in phi1 4.776 * [backup-simplify]: Simplify -1 into -1 4.776 * [taylor]: Taking taylor expansion of lambda1 in phi1 4.776 * [backup-simplify]: Simplify lambda1 into lambda1 4.776 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 4.776 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 4.776 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 4.776 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1 4.776 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 4.776 * [taylor]: Taking taylor expansion of -1 in phi1 4.776 * [backup-simplify]: Simplify -1 into -1 4.777 * [taylor]: Taking taylor expansion of lambda2 in phi1 4.777 * [backup-simplify]: Simplify lambda2 into lambda2 4.777 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 4.777 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 4.777 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 4.777 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi1 4.777 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi1 4.777 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 4.777 * [taylor]: Taking taylor expansion of -1 in phi1 4.777 * [backup-simplify]: Simplify -1 into -1 4.777 * [taylor]: Taking taylor expansion of lambda1 in phi1 4.777 * [backup-simplify]: Simplify lambda1 into lambda1 4.777 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 4.777 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 4.777 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 4.777 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi1 4.777 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 4.777 * [taylor]: Taking taylor expansion of -1 in phi1 4.777 * [backup-simplify]: Simplify -1 into -1 4.777 * [taylor]: Taking taylor expansion of lambda2 in phi1 4.777 * [backup-simplify]: Simplify lambda2 into lambda2 4.777 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 4.777 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 4.777 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 4.777 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) in phi1 4.777 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 4.777 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 4.777 * [taylor]: Taking taylor expansion of -1 in phi1 4.777 * [backup-simplify]: Simplify -1 into -1 4.777 * [taylor]: Taking taylor expansion of phi1 in phi1 4.777 * [backup-simplify]: Simplify 0 into 0 4.777 * [backup-simplify]: Simplify 1 into 1 4.778 * [backup-simplify]: Simplify (/ -1 1) into -1 4.778 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 4.778 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) in phi1 4.778 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 4.778 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 4.778 * [taylor]: Taking taylor expansion of -1 in phi1 4.778 * [backup-simplify]: Simplify -1 into -1 4.778 * [taylor]: Taking taylor expansion of phi2 in phi1 4.778 * [backup-simplify]: Simplify phi2 into phi2 4.778 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 4.778 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 4.778 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 4.778 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) in phi1 4.778 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi1 4.778 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 4.778 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 4.778 * [taylor]: Taking taylor expansion of -1 in phi1 4.778 * [backup-simplify]: Simplify -1 into -1 4.778 * [taylor]: Taking taylor expansion of lambda1 in phi1 4.778 * [backup-simplify]: Simplify lambda1 into lambda1 4.778 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 4.778 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 4.778 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 4.778 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1 4.778 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 4.778 * [taylor]: Taking taylor expansion of -1 in phi1 4.778 * [backup-simplify]: Simplify -1 into -1 4.778 * [taylor]: Taking taylor expansion of lambda2 in phi1 4.778 * [backup-simplify]: Simplify lambda2 into lambda2 4.778 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 4.778 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 4.778 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 4.778 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi1 4.778 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi1 4.778 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 4.778 * [taylor]: Taking taylor expansion of -1 in phi1 4.778 * [backup-simplify]: Simplify -1 into -1 4.778 * [taylor]: Taking taylor expansion of lambda1 in phi1 4.778 * [backup-simplify]: Simplify lambda1 into lambda1 4.778 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 4.778 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 4.779 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 4.779 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi1 4.779 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 4.779 * [taylor]: Taking taylor expansion of -1 in phi1 4.779 * [backup-simplify]: Simplify -1 into -1 4.779 * [taylor]: Taking taylor expansion of lambda2 in phi1 4.779 * [backup-simplify]: Simplify lambda2 into lambda2 4.779 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 4.779 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 4.779 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 4.779 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2)) 4.779 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 0) into 0 4.779 * [backup-simplify]: Simplify (- 0) into 0 4.779 * [backup-simplify]: Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2)) 4.779 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 4.779 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 4.779 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 4.779 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 4.780 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 4.780 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 4.780 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 4.780 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 1) into (cos (/ -1 lambda1)) 4.780 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 0) into 0 4.780 * [backup-simplify]: Simplify (- 0) into 0 4.780 * [backup-simplify]: Simplify (+ (cos (/ -1 lambda1)) 0) into (cos (/ -1 lambda1)) 4.780 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 1) into (cos (/ -1 lambda2)) 4.780 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 0) into 0 4.780 * [backup-simplify]: Simplify (- 0) into 0 4.781 * [backup-simplify]: Simplify (+ (cos (/ -1 lambda2)) 0) into (cos (/ -1 lambda2)) 4.781 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) into (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) 4.781 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) into (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) 4.781 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) into (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) 4.781 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) 4.781 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) in phi2 4.781 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 4.781 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 4.781 * [taylor]: Taking taylor expansion of -1 in phi2 4.781 * [backup-simplify]: Simplify -1 into -1 4.781 * [taylor]: Taking taylor expansion of phi1 in phi2 4.781 * [backup-simplify]: Simplify phi1 into phi1 4.781 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 4.781 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 4.781 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 4.781 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) in phi2 4.781 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 4.781 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 4.781 * [taylor]: Taking taylor expansion of -1 in phi2 4.781 * [backup-simplify]: Simplify -1 into -1 4.782 * [taylor]: Taking taylor expansion of phi2 in phi2 4.782 * [backup-simplify]: Simplify 0 into 0 4.782 * [backup-simplify]: Simplify 1 into 1 4.782 * [backup-simplify]: Simplify (/ -1 1) into -1 4.782 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 4.782 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) in phi2 4.782 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi2 4.782 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 4.782 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 4.782 * [taylor]: Taking taylor expansion of -1 in phi2 4.782 * [backup-simplify]: Simplify -1 into -1 4.782 * [taylor]: Taking taylor expansion of lambda1 in phi2 4.782 * [backup-simplify]: Simplify lambda1 into lambda1 4.782 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 4.782 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 4.782 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 4.782 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2 4.782 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 4.782 * [taylor]: Taking taylor expansion of -1 in phi2 4.782 * [backup-simplify]: Simplify -1 into -1 4.782 * [taylor]: Taking taylor expansion of lambda2 in phi2 4.782 * [backup-simplify]: Simplify lambda2 into lambda2 4.782 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 4.782 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 4.782 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 4.782 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi2 4.782 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi2 4.782 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 4.782 * [taylor]: Taking taylor expansion of -1 in phi2 4.782 * [backup-simplify]: Simplify -1 into -1 4.782 * [taylor]: Taking taylor expansion of lambda1 in phi2 4.782 * [backup-simplify]: Simplify lambda1 into lambda1 4.782 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 4.783 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 4.783 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 4.783 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi2 4.783 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 4.783 * [taylor]: Taking taylor expansion of -1 in phi2 4.783 * [backup-simplify]: Simplify -1 into -1 4.783 * [taylor]: Taking taylor expansion of lambda2 in phi2 4.783 * [backup-simplify]: Simplify lambda2 into lambda2 4.783 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 4.783 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 4.783 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 4.783 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1)) 4.783 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 0) into 0 4.783 * [backup-simplify]: Simplify (- 0) into 0 4.783 * [backup-simplify]: Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1)) 4.783 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 4.783 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 4.783 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 4.783 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 4.783 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 4.784 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 4.784 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 4.784 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 1) into (cos (/ -1 lambda1)) 4.784 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 0) into 0 4.784 * [backup-simplify]: Simplify (- 0) into 0 4.784 * [backup-simplify]: Simplify (+ (cos (/ -1 lambda1)) 0) into (cos (/ -1 lambda1)) 4.784 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 1) into (cos (/ -1 lambda2)) 4.784 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 0) into 0 4.785 * [backup-simplify]: Simplify (- 0) into 0 4.785 * [backup-simplify]: Simplify (+ (cos (/ -1 lambda2)) 0) into (cos (/ -1 lambda2)) 4.785 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) into (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) 4.785 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) into (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) 4.786 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) into (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) 4.786 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) 4.786 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) in lambda1 4.786 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 4.786 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 4.786 * [taylor]: Taking taylor expansion of -1 in lambda1 4.786 * [backup-simplify]: Simplify -1 into -1 4.786 * [taylor]: Taking taylor expansion of phi1 in lambda1 4.786 * [backup-simplify]: Simplify phi1 into phi1 4.786 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 4.786 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 4.786 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 4.786 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) in lambda1 4.787 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 4.787 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 4.787 * [taylor]: Taking taylor expansion of -1 in lambda1 4.787 * [backup-simplify]: Simplify -1 into -1 4.787 * [taylor]: Taking taylor expansion of phi2 in lambda1 4.787 * [backup-simplify]: Simplify phi2 into phi2 4.787 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 4.787 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 4.787 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 4.787 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) in lambda1 4.787 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 4.787 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 4.787 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 4.787 * [taylor]: Taking taylor expansion of -1 in lambda1 4.787 * [backup-simplify]: Simplify -1 into -1 4.787 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.787 * [backup-simplify]: Simplify 0 into 0 4.787 * [backup-simplify]: Simplify 1 into 1 4.790 * [backup-simplify]: Simplify (/ -1 1) into -1 4.790 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 4.790 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 4.790 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 4.790 * [taylor]: Taking taylor expansion of -1 in lambda1 4.790 * [backup-simplify]: Simplify -1 into -1 4.790 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.790 * [backup-simplify]: Simplify lambda2 into lambda2 4.790 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 4.790 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 4.790 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 4.790 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda1 4.790 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 4.790 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 4.790 * [taylor]: Taking taylor expansion of -1 in lambda1 4.791 * [backup-simplify]: Simplify -1 into -1 4.791 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.791 * [backup-simplify]: Simplify 0 into 0 4.791 * [backup-simplify]: Simplify 1 into 1 4.791 * [backup-simplify]: Simplify (/ -1 1) into -1 4.791 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 4.791 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 4.791 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 4.791 * [taylor]: Taking taylor expansion of -1 in lambda1 4.791 * [backup-simplify]: Simplify -1 into -1 4.791 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.792 * [backup-simplify]: Simplify lambda2 into lambda2 4.792 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 4.792 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 4.792 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 4.792 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1)) 4.792 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 0) into 0 4.792 * [backup-simplify]: Simplify (- 0) into 0 4.792 * [backup-simplify]: Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1)) 4.793 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2)) 4.793 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 0) into 0 4.793 * [backup-simplify]: Simplify (- 0) into 0 4.793 * [backup-simplify]: Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2)) 4.793 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 4.793 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 4.793 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 4.794 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 4.794 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 1) into (cos (/ -1 lambda2)) 4.794 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 0) into 0 4.794 * [backup-simplify]: Simplify (- 0) into 0 4.794 * [backup-simplify]: Simplify (+ (cos (/ -1 lambda2)) 0) into (cos (/ -1 lambda2)) 4.794 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) into (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) 4.795 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) into (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) 4.795 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) into (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) 4.795 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) 4.796 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) in lambda2 4.796 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 4.796 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 4.796 * [taylor]: Taking taylor expansion of -1 in lambda2 4.796 * [backup-simplify]: Simplify -1 into -1 4.796 * [taylor]: Taking taylor expansion of phi1 in lambda2 4.796 * [backup-simplify]: Simplify phi1 into phi1 4.796 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 4.796 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 4.796 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 4.796 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) in lambda2 4.796 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 4.796 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 4.796 * [taylor]: Taking taylor expansion of -1 in lambda2 4.796 * [backup-simplify]: Simplify -1 into -1 4.796 * [taylor]: Taking taylor expansion of phi2 in lambda2 4.796 * [backup-simplify]: Simplify phi2 into phi2 4.796 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 4.796 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 4.796 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 4.796 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) in lambda2 4.796 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 4.796 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 4.796 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 4.797 * [taylor]: Taking taylor expansion of -1 in lambda2 4.797 * [backup-simplify]: Simplify -1 into -1 4.797 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.797 * [backup-simplify]: Simplify lambda1 into lambda1 4.797 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 4.797 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 4.797 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 4.797 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 4.797 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 4.797 * [taylor]: Taking taylor expansion of -1 in lambda2 4.797 * [backup-simplify]: Simplify -1 into -1 4.797 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.797 * [backup-simplify]: Simplify 0 into 0 4.797 * [backup-simplify]: Simplify 1 into 1 4.798 * [backup-simplify]: Simplify (/ -1 1) into -1 4.798 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 4.798 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 4.798 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2 4.798 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 4.798 * [taylor]: Taking taylor expansion of -1 in lambda2 4.798 * [backup-simplify]: Simplify -1 into -1 4.798 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.798 * [backup-simplify]: Simplify lambda1 into lambda1 4.798 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 4.798 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 4.798 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 4.798 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2 4.798 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 4.798 * [taylor]: Taking taylor expansion of -1 in lambda2 4.798 * [backup-simplify]: Simplify -1 into -1 4.798 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.798 * [backup-simplify]: Simplify 0 into 0 4.798 * [backup-simplify]: Simplify 1 into 1 4.799 * [backup-simplify]: Simplify (/ -1 1) into -1 4.799 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 4.799 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1)) 4.799 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 0) into 0 4.799 * [backup-simplify]: Simplify (- 0) into 0 4.800 * [backup-simplify]: Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1)) 4.800 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2)) 4.800 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 0) into 0 4.800 * [backup-simplify]: Simplify (- 0) into 0 4.800 * [backup-simplify]: Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2)) 4.800 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 4.800 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 4.800 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 4.800 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 4.800 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 1) into (cos (/ -1 lambda1)) 4.800 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 0) into 0 4.801 * [backup-simplify]: Simplify (- 0) into 0 4.801 * [backup-simplify]: Simplify (+ (cos (/ -1 lambda1)) 0) into (cos (/ -1 lambda1)) 4.801 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) into (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) 4.801 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) into (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) 4.801 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) into (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) 4.802 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) 4.802 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) 4.802 * [backup-simplify]: Simplify (+ 0) into 0 4.802 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 4.803 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 4.803 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.803 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 4.804 * [backup-simplify]: Simplify (+ 0 0) into 0 4.804 * [backup-simplify]: Simplify (+ 0) into 0 4.804 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 4.804 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 4.805 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.805 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 4.805 * [backup-simplify]: Simplify (+ 0 0) into 0 4.805 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 4.806 * [backup-simplify]: Simplify (+ 0) into 0 4.806 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 1)) into 0 4.806 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 4.807 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.807 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 0)) into 0 4.807 * [backup-simplify]: Simplify (- 0) into 0 4.807 * [backup-simplify]: Simplify (+ 0 0) into 0 4.808 * [backup-simplify]: Simplify (+ 0) into 0 4.808 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 1)) into 0 4.808 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 4.809 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.809 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 0)) into 0 4.809 * [backup-simplify]: Simplify (- 0) into 0 4.809 * [backup-simplify]: Simplify (+ 0 0) into 0 4.809 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 (cos (/ -1 lambda2)))) into 0 4.810 * [backup-simplify]: Simplify (+ 0 0) into 0 4.810 * [backup-simplify]: Simplify (+ 0) into 0 4.810 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 1)) into 0 4.810 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 4.811 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.811 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 0)) into 0 4.811 * [backup-simplify]: Simplify (- 0) into 0 4.812 * [backup-simplify]: Simplify (+ 0 0) into 0 4.812 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) into 0 4.812 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))))) into 0 4.812 * [taylor]: Taking taylor expansion of 0 in phi2 4.812 * [backup-simplify]: Simplify 0 into 0 4.812 * [taylor]: Taking taylor expansion of 0 in lambda1 4.812 * [backup-simplify]: Simplify 0 into 0 4.812 * [taylor]: Taking taylor expansion of 0 in lambda2 4.812 * [backup-simplify]: Simplify 0 into 0 4.812 * [backup-simplify]: Simplify 0 into 0 4.812 * [backup-simplify]: Simplify (+ 0) into 0 4.813 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 4.813 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 4.813 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.814 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 4.814 * [backup-simplify]: Simplify (+ 0 0) into 0 4.814 * [backup-simplify]: Simplify (+ 0) into 0 4.815 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 4.815 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 4.815 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.816 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 4.816 * [backup-simplify]: Simplify (+ 0 0) into 0 4.816 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 4.816 * [backup-simplify]: Simplify (+ 0) into 0 4.817 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 1)) into 0 4.817 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 4.817 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.817 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 0)) into 0 4.818 * [backup-simplify]: Simplify (- 0) into 0 4.818 * [backup-simplify]: Simplify (+ 0 0) into 0 4.818 * [backup-simplify]: Simplify (+ 0) into 0 4.818 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 1)) into 0 4.819 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 4.819 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.819 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 0)) into 0 4.820 * [backup-simplify]: Simplify (- 0) into 0 4.820 * [backup-simplify]: Simplify (+ 0 0) into 0 4.820 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 (cos (/ -1 lambda2)))) into 0 4.820 * [backup-simplify]: Simplify (+ 0 0) into 0 4.820 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) into 0 4.821 * [backup-simplify]: Simplify (+ 0) into 0 4.821 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0 4.821 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 4.822 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.822 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0 4.822 * [backup-simplify]: Simplify (- 0) into 0 4.822 * [backup-simplify]: Simplify (+ 0 0) into 0 4.823 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))))) into 0 4.823 * [taylor]: Taking taylor expansion of 0 in lambda1 4.823 * [backup-simplify]: Simplify 0 into 0 4.823 * [taylor]: Taking taylor expansion of 0 in lambda2 4.823 * [backup-simplify]: Simplify 0 into 0 4.823 * [backup-simplify]: Simplify 0 into 0 4.823 * [backup-simplify]: Simplify (+ 0) into 0 4.824 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 4.824 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 4.824 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.825 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 4.825 * [backup-simplify]: Simplify (+ 0 0) into 0 4.825 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 4.825 * [backup-simplify]: Simplify (+ 0) into 0 4.826 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 1)) into 0 4.826 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 4.826 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.827 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 0)) into 0 4.827 * [backup-simplify]: Simplify (- 0) into 0 4.827 * [backup-simplify]: Simplify (+ 0 0) into 0 4.827 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 (cos (/ -1 lambda2)))) into 0 4.827 * [backup-simplify]: Simplify (+ 0 0) into 0 4.828 * [backup-simplify]: Simplify (+ 0) into 0 4.828 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 1)) into 0 4.828 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 4.829 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.829 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 0)) into 0 4.830 * [backup-simplify]: Simplify (- 0) into 0 4.830 * [backup-simplify]: Simplify (+ 0 0) into 0 4.830 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) into 0 4.831 * [backup-simplify]: Simplify (+ 0) into 0 4.831 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0 4.831 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 4.832 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.833 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0 4.833 * [backup-simplify]: Simplify (- 0) into 0 4.833 * [backup-simplify]: Simplify (+ 0 0) into 0 4.834 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))))) into 0 4.834 * [taylor]: Taking taylor expansion of 0 in lambda2 4.834 * [backup-simplify]: Simplify 0 into 0 4.834 * [backup-simplify]: Simplify 0 into 0 4.834 * [backup-simplify]: Simplify (+ 0) into 0 4.835 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 4.835 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 4.836 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.836 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 4.836 * [backup-simplify]: Simplify (+ 0 0) into 0 4.837 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 4.837 * [backup-simplify]: Simplify (+ 0) into 0 4.837 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 1)) into 0 4.838 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 4.838 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.839 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 0)) into 0 4.839 * [backup-simplify]: Simplify (- 0) into 0 4.840 * [backup-simplify]: Simplify (+ 0 0) into 0 4.840 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 (cos (/ -1 lambda2)))) into 0 4.840 * [backup-simplify]: Simplify (+ 0 0) into 0 4.840 * [backup-simplify]: Simplify (+ 0) into 0 4.841 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 1)) into 0 4.841 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 4.842 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.842 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 0)) into 0 4.843 * [backup-simplify]: Simplify (- 0) into 0 4.843 * [backup-simplify]: Simplify (+ 0 0) into 0 4.843 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) into 0 4.844 * [backup-simplify]: Simplify (+ 0) into 0 4.844 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0 4.844 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 4.845 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.846 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0 4.846 * [backup-simplify]: Simplify (- 0) into 0 4.846 * [backup-simplify]: Simplify (+ 0 0) into 0 4.847 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))))) into 0 4.847 * [backup-simplify]: Simplify 0 into 0 4.848 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.848 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 4.849 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 4.849 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.850 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 4.850 * [backup-simplify]: Simplify (+ 0 0) into 0 4.851 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.852 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 4.852 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 4.853 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.853 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 4.854 * [backup-simplify]: Simplify (+ 0 0) into 0 4.854 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 4.855 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.856 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 4.856 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 4.857 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.857 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 4.858 * [backup-simplify]: Simplify (- 0) into 0 4.858 * [backup-simplify]: Simplify (+ 0 0) into 0 4.859 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.860 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 4.860 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 4.861 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.861 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 4.862 * [backup-simplify]: Simplify (- 0) into 0 4.862 * [backup-simplify]: Simplify (+ 0 0) into 0 4.862 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (cos (/ -1 lambda2))))) into 0 4.863 * [backup-simplify]: Simplify (+ 0 0) into 0 4.864 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.865 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 4.865 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 4.866 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.866 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 4.867 * [backup-simplify]: Simplify (- 0) into 0 4.867 * [backup-simplify]: Simplify (+ 0 0) into 0 4.868 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))))) into 0 4.868 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))))) into 0 4.868 * [taylor]: Taking taylor expansion of 0 in phi2 4.868 * [backup-simplify]: Simplify 0 into 0 4.869 * [taylor]: Taking taylor expansion of 0 in lambda1 4.869 * [backup-simplify]: Simplify 0 into 0 4.869 * [taylor]: Taking taylor expansion of 0 in lambda2 4.869 * [backup-simplify]: Simplify 0 into 0 4.869 * [backup-simplify]: Simplify 0 into 0 4.869 * [taylor]: Taking taylor expansion of 0 in lambda1 4.869 * [backup-simplify]: Simplify 0 into 0 4.869 * [taylor]: Taking taylor expansion of 0 in lambda2 4.869 * [backup-simplify]: Simplify 0 into 0 4.869 * [backup-simplify]: Simplify 0 into 0 4.869 * [backup-simplify]: Simplify (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (+ (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) (* (cos (/ -1 (/ 1 (- lambda1)))) (cos (/ -1 (/ 1 (- lambda2)))))))) into (* (cos phi1) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2))) 4.869 * * * [progress]: simplifying candidates 4.869 * * * * [progress]: [ 1 / 88 ] simplifiying candidate # 4.870 * * * * [progress]: [ 2 / 88 ] simplifiying candidate # 4.870 * * * * [progress]: [ 3 / 88 ] simplifiying candidate # 4.870 * * * * [progress]: [ 4 / 88 ] simplifiying candidate # 4.870 * * * * [progress]: [ 5 / 88 ] simplifiying candidate # 4.870 * * * * [progress]: [ 6 / 88 ] simplifiying candidate # 4.870 * * * * [progress]: [ 7 / 88 ] simplifiying candidate # 4.870 * * * * [progress]: [ 8 / 88 ] simplifiying candidate # 4.870 * * * * [progress]: [ 9 / 88 ] simplifiying candidate #real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> 4.870 * * * * [progress]: [ 10 / 88 ] simplifiying candidate # 4.870 * * * * [progress]: [ 11 / 88 ] simplifiying candidate # 4.870 * * * * [progress]: [ 12 / 88 ] simplifiying candidate # 4.870 * * * * [progress]: [ 13 / 88 ] simplifiying candidate # 4.870 * * * * [progress]: [ 14 / 88 ] simplifiying candidate # 4.870 * * * * [progress]: [ 15 / 88 ] simplifiying candidate # 4.871 * * * * [progress]: [ 16 / 88 ] simplifiying candidate # 4.871 * * * * [progress]: [ 17 / 88 ] simplifiying candidate # 4.871 * * * * [progress]: [ 18 / 88 ] simplifiying candidate # 4.871 * * * * [progress]: [ 19 / 88 ] simplifiying candidate # 4.871 * * * * [progress]: [ 20 / 88 ] simplifiying candidate # 4.871 * * * * [progress]: [ 21 / 88 ] simplifiying candidate # 4.871 * * * * [progress]: [ 22 / 88 ] simplifiying candidate # 4.871 * * * * [progress]: [ 23 / 88 ] simplifiying candidate # 4.871 * * * * [progress]: [ 24 / 88 ] simplifiying candidate # 4.871 * * * * [progress]: [ 25 / 88 ] simplifiying candidate # 4.871 * * * * [progress]: [ 26 / 88 ] simplifiying candidate # 4.871 * * * * [progress]: [ 27 / 88 ] simplifiying candidate #real (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> 4.871 * * * * [progress]: [ 28 / 88 ] simplifiying candidate # 4.871 * * * * [progress]: [ 29 / 88 ] simplifiying candidate # 4.872 * * * * [progress]: [ 30 / 88 ] simplifiying candidate # 4.872 * * * * [progress]: [ 31 / 88 ] simplifiying candidate # 4.872 * * * * [progress]: [ 32 / 88 ] simplifiying candidate # 4.872 * * * * [progress]: [ 33 / 88 ] simplifiying candidate # 4.872 * * * * [progress]: [ 34 / 88 ] simplifiying candidate # 4.872 * * * * [progress]: [ 35 / 88 ] simplifiying candidate # 4.872 * * * * [progress]: [ 36 / 88 ] simplifiying candidate # 4.872 * * * * [progress]: [ 37 / 88 ] simplifiying candidate # 4.872 * * * * [progress]: [ 38 / 88 ] simplifiying candidate # 4.872 * * * * [progress]: [ 39 / 88 ] simplifiying candidate # 4.872 * * * * [progress]: [ 40 / 88 ] simplifiying candidate # 4.872 * * * * [progress]: [ 41 / 88 ] simplifiying candidate # 4.872 * * * * [progress]: [ 42 / 88 ] simplifiying candidate # 4.872 * * * * [progress]: [ 43 / 88 ] simplifiying candidate # 4.873 * * * * [progress]: [ 44 / 88 ] simplifiying candidate # 4.873 * * * * [progress]: [ 45 / 88 ] simplifiying candidate # 4.873 * * * * [progress]: [ 46 / 88 ] simplifiying candidate # 4.873 * * * * [progress]: [ 47 / 88 ] simplifiying candidate #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> 4.873 * * * * [progress]: [ 48 / 88 ] simplifiying candidate # 4.873 * * * * [progress]: [ 49 / 88 ] simplifiying candidate # 4.873 * * * * [progress]: [ 50 / 88 ] simplifiying candidate # 4.873 * * * * [progress]: [ 51 / 88 ] simplifiying candidate # 4.873 * * * * [progress]: [ 52 / 88 ] simplifiying candidate # 4.873 * * * * [progress]: [ 53 / 88 ] simplifiying candidate # 4.873 * * * * [progress]: [ 54 / 88 ] simplifiying candidate # 4.873 * * * * [progress]: [ 55 / 88 ] simplifiying candidate # 4.873 * * * * [progress]: [ 56 / 88 ] simplifiying candidate # 4.873 * * * * [progress]: [ 57 / 88 ] simplifiying candidate # 4.873 * * * * [progress]: [ 58 / 88 ] simplifiying candidate # 4.874 * * * * [progress]: [ 59 / 88 ] simplifiying candidate # 4.874 * * * * [progress]: [ 60 / 88 ] simplifiying candidate # 4.874 * * * * [progress]: [ 61 / 88 ] simplifiying candidate # 4.874 * * * * [progress]: [ 62 / 88 ] simplifiying candidate # 4.874 * * * * [progress]: [ 63 / 88 ] simplifiying candidate # 4.874 * * * * [progress]: [ 64 / 88 ] simplifiying candidate # 4.874 * * * * [progress]: [ 65 / 88 ] simplifiying candidate # 4.874 * * * * [progress]: [ 66 / 88 ] simplifiying candidate # 4.874 * * * * [progress]: [ 67 / 88 ] simplifiying candidate # 4.874 * * * * [progress]: [ 68 / 88 ] simplifiying candidate # 4.874 * * * * [progress]: [ 69 / 88 ] simplifiying candidate # 4.874 * * * * [progress]: [ 70 / 88 ] simplifiying candidate # 4.874 * * * * [progress]: [ 71 / 88 ] simplifiying candidate # 4.875 * * * * [progress]: [ 72 / 88 ] simplifiying candidate # 4.875 * * * * [progress]: [ 73 / 88 ] simplifiying candidate # 4.875 * * * * [progress]: [ 74 / 88 ] simplifiying candidate # 4.875 * * * * [progress]: [ 75 / 88 ] simplifiying candidate #real (real->posit16 (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> 4.875 * * * * [progress]: [ 76 / 88 ] simplifiying candidate # 4.875 * * * * [progress]: [ 77 / 88 ] simplifiying candidate # 4.875 * * * * [progress]: [ 78 / 88 ] simplifiying candidate # 4.875 * * * * [progress]: [ 79 / 88 ] simplifiying candidate # 4.875 * * * * [progress]: [ 80 / 88 ] simplifiying candidate # 4.875 * * * * [progress]: [ 81 / 88 ] simplifiying candidate # 4.875 * * * * [progress]: [ 82 / 88 ] simplifiying candidate # 4.875 * * * * [progress]: [ 83 / 88 ] simplifiying candidate # 4.875 * * * * [progress]: [ 84 / 88 ] simplifiying candidate # 4.875 * * * * [progress]: [ 85 / 88 ] simplifiying candidate # 4.875 * * * * [progress]: [ 86 / 88 ] simplifiying candidate # 4.875 * * * * [progress]: [ 87 / 88 ] simplifiying candidate # 4.876 * * * * [progress]: [ 88 / 88 ] simplifiying candidate # 4.877 * [simplify]: Simplifying: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (real->posit16 (* (sin phi1) (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (+ (log (cos phi1)) (log (cos phi2))) (log (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (+ (log (* (cos phi1) (cos phi2))) (log (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (log (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (exp (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 2) (* 2 (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))))) (* 2 (* 2 2)) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (* 2 (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (* 2 (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) (* (* (cos phi1) (cos phi2)) (* (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (* (cos phi1) (cos phi2)) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (cos phi1) (cos phi2)) 1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 2) (* 2 (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))))) (* (* (cos phi1) (cos phi2)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (real->posit16 (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (* phi1 phi2) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (- 1 (+ (* 1/2 (pow phi2 2)) (* 1/2 (pow phi1 2)))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))) (* (cos phi1) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2))) 4.881 * * [simplify]: iteration 1: (187 enodes) 4.969 * * [simplify]: iteration 2: (511 enodes) 5.218 * * [simplify]: iteration 3: (1832 enodes) 10.642 * * [simplify]: Extracting #0: cost 64 inf + 0 10.644 * * [simplify]: Extracting #1: cost 592 inf + 1 10.653 * * [simplify]: Extracting #2: cost 1871 inf + 1317 10.668 * * [simplify]: Extracting #3: cost 2433 inf + 41941 10.708 * * [simplify]: Extracting #4: cost 1894 inf + 170978 10.849 * * [simplify]: Extracting #5: cost 780 inf + 686675 11.185 * * [simplify]: Extracting #6: cost 69 inf + 1093036 11.480 * * [simplify]: Extracting #7: cost 1 inf + 1124298 11.775 * * [simplify]: Extracting #8: cost 0 inf + 1123923 12.582 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) (log (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (real->posit16 (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R) (log (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)) (log (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)) (exp (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)) (* (* (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)) (* (cbrt (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)) (cbrt (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R))) (cbrt (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)) (* (* (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)) (sqrt (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)) (sqrt (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)) (* (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (sqrt R)) (* (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (sqrt R)) (* (* (cbrt R) (cbrt R)) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) (sqrt R)) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) (* (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) (* R (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R) (real->posit16 (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (sin phi1) (sin phi2)) (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (sin phi1) (sin phi2)) (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi2)) (sqrt (sin phi1))) (* (sqrt (sin phi2)) (sqrt (sin phi1))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (sin phi2) (cbrt (sin phi1))) (* (sin phi2) (sqrt (sin phi1))) (* (sin phi1) (sin phi2)) (real->posit16 (* (sin phi1) (sin phi2))) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (log (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))) (log (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))) (log (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))) (exp (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))) (* (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))) (* (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))) (* (cbrt (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))) (cbrt (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))) (cbrt (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))) (* (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))) (sqrt (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))) (sqrt (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))) (* 2 (* (+ (+ (cos (+ lambda2 lambda1)) (cos (- lambda1 lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1)))) (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))))) 8 (* (+ (* (* (cos lambda1) (cos lambda2)) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2)))) (* (* (sin lambda1) (sin lambda2)) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2)))) (* (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda2) (sin lambda1)) (- (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))) 2) (* (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) 2) (* (* (cos lambda2) (* (cos phi2) (cos phi1))) (cos lambda1)) (* (* (sin lambda2) (cos phi2)) (* (sin lambda1) (cos phi1))) (* (* (cos lambda2) (* (cos phi2) (cos phi1))) (cos lambda1)) (* (* (sin lambda2) (cos phi2)) (* (sin lambda1) (cos phi1))) (* (* (* (cos phi2) (cos phi1)) (cbrt (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))) (cbrt (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))) (* (sqrt (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (cos phi2) (cos phi1))) (* (cos phi2) (cos phi1)) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (* 2 (* (cos phi2) (cos phi1))) (+ (+ (cos (+ lambda2 lambda1)) (cos (- lambda1 lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))))) (* (* (cos phi2) (cos phi1)) (+ (* (* (cos lambda1) (cos lambda2)) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2)))) (* (* (sin lambda1) (sin lambda2)) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (* (cos phi2) (cos phi1))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (real->posit16 (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R) (* phi1 phi2) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (+ (* (+ (* phi1 phi1) (* phi2 phi2)) -1/2) 1) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) 12.602 * * * [progress]: adding candidates to table 14.574 * * [progress]: iteration 3 / 4 14.574 * * * [progress]: picking best candidate 14.791 * * * * [pick]: Picked # 14.791 * * * [progress]: localizing error 14.929 * * * [progress]: generating rewritten candidates 14.929 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 14.933 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 14.943 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 14.950 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 14.975 * * * [progress]: generating series expansions 14.975 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 14.976 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 14.976 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 14.976 * [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 14.977 * [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))))) 14.977 * [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 14.977 * [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))))) 14.977 * [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 14.978 * [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))))) 14.978 * [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 14.978 * [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))))) 14.978 * [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 14.979 * [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))))) 14.979 * [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 14.979 * [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))))) 14.979 * [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 14.980 * [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))))) 14.980 * [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 14.981 * [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))))) 14.981 * [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))))) 14.981 * [taylor]: Taking taylor expansion of 0 in phi2 14.981 * [backup-simplify]: Simplify 0 into 0 14.981 * [taylor]: Taking taylor expansion of 0 in lambda1 14.981 * [backup-simplify]: Simplify 0 into 0 14.981 * [taylor]: Taking taylor expansion of 0 in lambda2 14.981 * [backup-simplify]: Simplify 0 into 0 14.981 * [backup-simplify]: Simplify 0 into 0 14.981 * [taylor]: Taking taylor expansion of 0 in lambda1 14.981 * [backup-simplify]: Simplify 0 into 0 14.981 * [taylor]: Taking taylor expansion of 0 in lambda2 14.981 * [backup-simplify]: Simplify 0 into 0 14.981 * [backup-simplify]: Simplify 0 into 0 14.982 * [taylor]: Taking taylor expansion of 0 in lambda2 14.982 * [backup-simplify]: Simplify 0 into 0 14.982 * [backup-simplify]: Simplify 0 into 0 14.982 * [backup-simplify]: Simplify 0 into 0 14.982 * [taylor]: Taking taylor expansion of 0 in phi2 14.982 * [backup-simplify]: Simplify 0 into 0 14.982 * [taylor]: Taking taylor expansion of 0 in lambda1 14.982 * [backup-simplify]: Simplify 0 into 0 14.982 * [taylor]: Taking taylor expansion of 0 in lambda2 14.982 * [backup-simplify]: Simplify 0 into 0 14.982 * [backup-simplify]: Simplify 0 into 0 14.982 * [taylor]: Taking taylor expansion of 0 in lambda1 14.982 * [backup-simplify]: Simplify 0 into 0 14.982 * [taylor]: Taking taylor expansion of 0 in lambda2 14.982 * [backup-simplify]: Simplify 0 into 0 14.982 * [backup-simplify]: Simplify 0 into 0 14.982 * [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))))) 14.983 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 14.983 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 14.983 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 14.984 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 14.984 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 14.985 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 14.985 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 14.985 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 14.986 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 14.986 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 14.986 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 14.987 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 14.987 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 14.988 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 14.988 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 14.989 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 14.989 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 14.990 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 14.991 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 14.991 * [taylor]: Taking taylor expansion of 0 in phi2 14.991 * [backup-simplify]: Simplify 0 into 0 14.991 * [taylor]: Taking taylor expansion of 0 in lambda1 14.991 * [backup-simplify]: Simplify 0 into 0 14.991 * [taylor]: Taking taylor expansion of 0 in lambda2 14.991 * [backup-simplify]: Simplify 0 into 0 14.991 * [backup-simplify]: Simplify 0 into 0 14.991 * [taylor]: Taking taylor expansion of 0 in lambda1 14.991 * [backup-simplify]: Simplify 0 into 0 14.991 * [taylor]: Taking taylor expansion of 0 in lambda2 14.991 * [backup-simplify]: Simplify 0 into 0 14.991 * [backup-simplify]: Simplify 0 into 0 14.992 * [taylor]: Taking taylor expansion of 0 in lambda2 14.992 * [backup-simplify]: Simplify 0 into 0 14.992 * [backup-simplify]: Simplify 0 into 0 14.992 * [backup-simplify]: Simplify 0 into 0 14.992 * [taylor]: Taking taylor expansion of 0 in phi2 14.992 * [backup-simplify]: Simplify 0 into 0 14.992 * [taylor]: Taking taylor expansion of 0 in lambda1 14.992 * [backup-simplify]: Simplify 0 into 0 14.992 * [taylor]: Taking taylor expansion of 0 in lambda2 14.992 * [backup-simplify]: Simplify 0 into 0 14.992 * [backup-simplify]: Simplify 0 into 0 14.992 * [taylor]: Taking taylor expansion of 0 in lambda1 14.992 * [backup-simplify]: Simplify 0 into 0 14.992 * [taylor]: Taking taylor expansion of 0 in lambda2 14.992 * [backup-simplify]: Simplify 0 into 0 14.992 * [backup-simplify]: Simplify 0 into 0 14.993 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 14.994 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 14.994 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 14.994 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 14.995 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 14.995 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 14.996 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 14.996 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 14.997 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 14.997 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 14.998 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 14.998 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 14.999 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 14.999 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 15.000 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 15.000 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 15.001 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.001 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 15.002 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 15.002 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.003 * [taylor]: Taking taylor expansion of 0 in phi2 15.003 * [backup-simplify]: Simplify 0 into 0 15.003 * [taylor]: Taking taylor expansion of 0 in lambda1 15.003 * [backup-simplify]: Simplify 0 into 0 15.003 * [taylor]: Taking taylor expansion of 0 in lambda2 15.003 * [backup-simplify]: Simplify 0 into 0 15.003 * [backup-simplify]: Simplify 0 into 0 15.003 * [taylor]: Taking taylor expansion of 0 in lambda1 15.003 * [backup-simplify]: Simplify 0 into 0 15.003 * [taylor]: Taking taylor expansion of 0 in lambda2 15.003 * [backup-simplify]: Simplify 0 into 0 15.003 * [backup-simplify]: Simplify 0 into 0 15.003 * [taylor]: Taking taylor expansion of 0 in lambda2 15.003 * [backup-simplify]: Simplify 0 into 0 15.003 * [backup-simplify]: Simplify 0 into 0 15.003 * [backup-simplify]: Simplify 0 into 0 15.003 * [taylor]: Taking taylor expansion of 0 in phi2 15.003 * [backup-simplify]: Simplify 0 into 0 15.003 * [taylor]: Taking taylor expansion of 0 in lambda1 15.003 * [backup-simplify]: Simplify 0 into 0 15.003 * [taylor]: Taking taylor expansion of 0 in lambda2 15.003 * [backup-simplify]: Simplify 0 into 0 15.003 * [backup-simplify]: Simplify 0 into 0 15.003 * [taylor]: Taking taylor expansion of 0 in lambda1 15.003 * [backup-simplify]: Simplify 0 into 0 15.003 * [taylor]: Taking taylor expansion of 0 in lambda2 15.004 * [backup-simplify]: Simplify 0 into 0 15.004 * [backup-simplify]: Simplify 0 into 0 15.005 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 15.005 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 15.005 * [backup-simplify]: Simplify (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 15.005 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 15.005 * [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 15.006 * [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))))) 15.006 * [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 15.007 * [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))))) 15.007 * [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 15.007 * [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))))) 15.007 * [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 15.008 * [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))))) 15.008 * [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 15.009 * [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))))) 15.009 * [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 15.009 * [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))))) 15.009 * [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 15.010 * [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))))) 15.010 * [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 15.011 * [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))))) 15.011 * [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))))) 15.011 * [taylor]: Taking taylor expansion of 0 in phi2 15.011 * [backup-simplify]: Simplify 0 into 0 15.011 * [taylor]: Taking taylor expansion of 0 in lambda1 15.011 * [backup-simplify]: Simplify 0 into 0 15.011 * [taylor]: Taking taylor expansion of 0 in lambda2 15.011 * [backup-simplify]: Simplify 0 into 0 15.011 * [backup-simplify]: Simplify 0 into 0 15.012 * [taylor]: Taking taylor expansion of 0 in lambda1 15.012 * [backup-simplify]: Simplify 0 into 0 15.012 * [taylor]: Taking taylor expansion of 0 in lambda2 15.012 * [backup-simplify]: Simplify 0 into 0 15.012 * [backup-simplify]: Simplify 0 into 0 15.012 * [taylor]: Taking taylor expansion of 0 in lambda2 15.012 * [backup-simplify]: Simplify 0 into 0 15.012 * [backup-simplify]: Simplify 0 into 0 15.012 * [backup-simplify]: Simplify 0 into 0 15.012 * [taylor]: Taking taylor expansion of 0 in phi2 15.012 * [backup-simplify]: Simplify 0 into 0 15.012 * [taylor]: Taking taylor expansion of 0 in lambda1 15.012 * [backup-simplify]: Simplify 0 into 0 15.012 * [taylor]: Taking taylor expansion of 0 in lambda2 15.012 * [backup-simplify]: Simplify 0 into 0 15.012 * [backup-simplify]: Simplify 0 into 0 15.012 * [taylor]: Taking taylor expansion of 0 in lambda1 15.012 * [backup-simplify]: Simplify 0 into 0 15.012 * [taylor]: Taking taylor expansion of 0 in lambda2 15.012 * [backup-simplify]: Simplify 0 into 0 15.012 * [backup-simplify]: Simplify 0 into 0 15.012 * [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))))) 15.013 * [backup-simplify]: Simplify (log (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 15.013 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 15.013 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 15.013 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 15.013 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 15.014 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 15.014 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 15.014 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 15.014 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 15.015 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 15.015 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 15.015 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 15.015 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 15.015 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 15.015 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 15.016 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 15.016 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 15.016 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 15.017 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 15.017 * [taylor]: Taking taylor expansion of 0 in phi2 15.017 * [backup-simplify]: Simplify 0 into 0 15.017 * [taylor]: Taking taylor expansion of 0 in lambda1 15.017 * [backup-simplify]: Simplify 0 into 0 15.017 * [taylor]: Taking taylor expansion of 0 in lambda2 15.017 * [backup-simplify]: Simplify 0 into 0 15.017 * [backup-simplify]: Simplify 0 into 0 15.017 * [taylor]: Taking taylor expansion of 0 in lambda1 15.017 * [backup-simplify]: Simplify 0 into 0 15.017 * [taylor]: Taking taylor expansion of 0 in lambda2 15.017 * [backup-simplify]: Simplify 0 into 0 15.017 * [backup-simplify]: Simplify 0 into 0 15.017 * [taylor]: Taking taylor expansion of 0 in lambda2 15.017 * [backup-simplify]: Simplify 0 into 0 15.017 * [backup-simplify]: Simplify 0 into 0 15.017 * [backup-simplify]: Simplify 0 into 0 15.017 * [taylor]: Taking taylor expansion of 0 in phi2 15.017 * [backup-simplify]: Simplify 0 into 0 15.017 * [taylor]: Taking taylor expansion of 0 in lambda1 15.017 * [backup-simplify]: Simplify 0 into 0 15.017 * [taylor]: Taking taylor expansion of 0 in lambda2 15.017 * [backup-simplify]: Simplify 0 into 0 15.017 * [backup-simplify]: Simplify 0 into 0 15.017 * [taylor]: Taking taylor expansion of 0 in lambda1 15.017 * [backup-simplify]: Simplify 0 into 0 15.017 * [taylor]: Taking taylor expansion of 0 in lambda2 15.017 * [backup-simplify]: Simplify 0 into 0 15.017 * [backup-simplify]: Simplify 0 into 0 15.018 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.018 * [backup-simplify]: Simplify (log (exp (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 15.018 * [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 15.018 * [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 lambda2 15.019 * [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)))))))) 15.019 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 15.019 * [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)))))))) 15.019 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 15.020 * [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 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.020 * [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 phi2)) (cos (/ -1 lambda2)))))))) in phi1 15.020 * [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 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.020 * [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 phi2)) (cos (/ -1 lambda2)))))))) in phi1 15.021 * [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)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.021 * [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 lambda2)) (cos (/ -1 phi2)))))))) in phi2 15.021 * [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 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 15.021 * [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 15.022 * [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)))))))) 15.022 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 15.022 * [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)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 15.023 * [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 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.023 * [taylor]: Taking taylor expansion of 0 in phi2 15.023 * [backup-simplify]: Simplify 0 into 0 15.023 * [taylor]: Taking taylor expansion of 0 in lambda1 15.023 * [backup-simplify]: Simplify 0 into 0 15.023 * [taylor]: Taking taylor expansion of 0 in lambda2 15.023 * [backup-simplify]: Simplify 0 into 0 15.023 * [backup-simplify]: Simplify 0 into 0 15.023 * [taylor]: Taking taylor expansion of 0 in lambda1 15.023 * [backup-simplify]: Simplify 0 into 0 15.023 * [taylor]: Taking taylor expansion of 0 in lambda2 15.023 * [backup-simplify]: Simplify 0 into 0 15.023 * [backup-simplify]: Simplify 0 into 0 15.023 * [taylor]: Taking taylor expansion of 0 in lambda2 15.023 * [backup-simplify]: Simplify 0 into 0 15.023 * [backup-simplify]: Simplify 0 into 0 15.023 * [backup-simplify]: Simplify 0 into 0 15.023 * [taylor]: Taking taylor expansion of 0 in phi2 15.023 * [backup-simplify]: Simplify 0 into 0 15.023 * [taylor]: Taking taylor expansion of 0 in lambda1 15.023 * [backup-simplify]: Simplify 0 into 0 15.023 * [taylor]: Taking taylor expansion of 0 in lambda2 15.023 * [backup-simplify]: Simplify 0 into 0 15.023 * [backup-simplify]: Simplify 0 into 0 15.023 * [taylor]: Taking taylor expansion of 0 in lambda1 15.023 * [backup-simplify]: Simplify 0 into 0 15.023 * [taylor]: Taking taylor expansion of 0 in lambda2 15.023 * [backup-simplify]: Simplify 0 into 0 15.023 * [backup-simplify]: Simplify 0 into 0 15.024 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 15.024 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 15.024 * [backup-simplify]: Simplify (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 15.024 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 15.024 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 15.024 * [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 15.025 * [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))))) 15.025 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 15.025 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 15.025 * [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 15.025 * [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))))) 15.026 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 15.026 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 15.026 * [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 15.026 * [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))))) 15.026 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 15.026 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 15.026 * [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 15.027 * [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))))) 15.027 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 15.027 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 15.027 * [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 15.027 * [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))))) 15.028 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 15.028 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 15.028 * [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 15.028 * [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))))) 15.028 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 15.028 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 15.029 * [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 15.029 * [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))))) 15.029 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 15.029 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 15.029 * [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 15.029 * [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))))) 15.030 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 15.030 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 15.031 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.031 * [taylor]: Taking taylor expansion of 0 in phi2 15.032 * [backup-simplify]: Simplify 0 into 0 15.032 * [taylor]: Taking taylor expansion of 0 in lambda1 15.032 * [backup-simplify]: Simplify 0 into 0 15.032 * [taylor]: Taking taylor expansion of 0 in lambda2 15.032 * [backup-simplify]: Simplify 0 into 0 15.032 * [backup-simplify]: Simplify 0 into 0 15.032 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.032 * [taylor]: Taking taylor expansion of 0 in lambda1 15.032 * [backup-simplify]: Simplify 0 into 0 15.033 * [taylor]: Taking taylor expansion of 0 in lambda2 15.033 * [backup-simplify]: Simplify 0 into 0 15.033 * [backup-simplify]: Simplify 0 into 0 15.033 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.033 * [taylor]: Taking taylor expansion of 0 in lambda2 15.033 * [backup-simplify]: Simplify 0 into 0 15.033 * [backup-simplify]: Simplify 0 into 0 15.034 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.034 * [backup-simplify]: Simplify 0 into 0 15.035 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.035 * [taylor]: Taking taylor expansion of 0 in phi2 15.035 * [backup-simplify]: Simplify 0 into 0 15.035 * [taylor]: Taking taylor expansion of 0 in lambda1 15.035 * [backup-simplify]: Simplify 0 into 0 15.035 * [taylor]: Taking taylor expansion of 0 in lambda2 15.036 * [backup-simplify]: Simplify 0 into 0 15.036 * [backup-simplify]: Simplify 0 into 0 15.036 * [taylor]: Taking taylor expansion of 0 in lambda1 15.036 * [backup-simplify]: Simplify 0 into 0 15.036 * [taylor]: Taking taylor expansion of 0 in lambda2 15.036 * [backup-simplify]: Simplify 0 into 0 15.036 * [backup-simplify]: Simplify 0 into 0 15.036 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 15.036 * [backup-simplify]: Simplify (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 15.036 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in (phi1 phi2 lambda1 lambda2) around 0 15.036 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda2 15.036 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 15.039 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 15.039 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 15.039 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda1 15.039 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 15.040 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 15.040 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 15.040 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi2 15.040 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 15.041 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 15.041 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 15.041 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi1 15.041 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 15.042 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 15.042 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 15.042 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi1 15.042 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 15.042 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 15.043 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 15.043 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi2 15.043 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 15.043 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 15.044 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 15.044 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda1 15.044 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 15.044 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 15.045 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 15.045 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda2 15.045 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 15.045 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 15.046 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 15.046 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 15.047 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.047 * [taylor]: Taking taylor expansion of 0 in phi2 15.047 * [backup-simplify]: Simplify 0 into 0 15.047 * [taylor]: Taking taylor expansion of 0 in lambda1 15.047 * [backup-simplify]: Simplify 0 into 0 15.047 * [taylor]: Taking taylor expansion of 0 in lambda2 15.047 * [backup-simplify]: Simplify 0 into 0 15.047 * [backup-simplify]: Simplify 0 into 0 15.048 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.048 * [taylor]: Taking taylor expansion of 0 in lambda1 15.048 * [backup-simplify]: Simplify 0 into 0 15.049 * [taylor]: Taking taylor expansion of 0 in lambda2 15.049 * [backup-simplify]: Simplify 0 into 0 15.049 * [backup-simplify]: Simplify 0 into 0 15.049 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.050 * [taylor]: Taking taylor expansion of 0 in lambda2 15.050 * [backup-simplify]: Simplify 0 into 0 15.050 * [backup-simplify]: Simplify 0 into 0 15.051 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.051 * [backup-simplify]: Simplify 0 into 0 15.052 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.052 * [taylor]: Taking taylor expansion of 0 in phi2 15.052 * [backup-simplify]: Simplify 0 into 0 15.052 * [taylor]: Taking taylor expansion of 0 in lambda1 15.052 * [backup-simplify]: Simplify 0 into 0 15.052 * [taylor]: Taking taylor expansion of 0 in lambda2 15.052 * [backup-simplify]: Simplify 0 into 0 15.052 * [backup-simplify]: Simplify 0 into 0 15.052 * [taylor]: Taking taylor expansion of 0 in lambda1 15.052 * [backup-simplify]: Simplify 0 into 0 15.052 * [taylor]: Taking taylor expansion of 0 in lambda2 15.052 * [backup-simplify]: Simplify 0 into 0 15.052 * [backup-simplify]: Simplify 0 into 0 15.053 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) 15.053 * [backup-simplify]: Simplify (exp (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 15.053 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in (phi1 phi2 lambda1 lambda2) around 0 15.053 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda2 15.053 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 15.054 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.054 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 15.054 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda1 15.054 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 15.054 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.055 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 15.055 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi2 15.055 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 15.055 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.056 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 15.056 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi1 15.056 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 15.056 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.057 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 15.057 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi1 15.057 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 15.057 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.058 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 15.058 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi2 15.058 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 15.058 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.059 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 15.059 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda1 15.059 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 15.059 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.059 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 15.060 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda2 15.060 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 15.060 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.060 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 15.061 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) 15.062 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.062 * [taylor]: Taking taylor expansion of 0 in phi2 15.062 * [backup-simplify]: Simplify 0 into 0 15.062 * [taylor]: Taking taylor expansion of 0 in lambda1 15.062 * [backup-simplify]: Simplify 0 into 0 15.062 * [taylor]: Taking taylor expansion of 0 in lambda2 15.062 * [backup-simplify]: Simplify 0 into 0 15.062 * [backup-simplify]: Simplify 0 into 0 15.063 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.063 * [taylor]: Taking taylor expansion of 0 in lambda1 15.063 * [backup-simplify]: Simplify 0 into 0 15.063 * [taylor]: Taking taylor expansion of 0 in lambda2 15.063 * [backup-simplify]: Simplify 0 into 0 15.063 * [backup-simplify]: Simplify 0 into 0 15.065 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.065 * [taylor]: Taking taylor expansion of 0 in lambda2 15.065 * [backup-simplify]: Simplify 0 into 0 15.065 * [backup-simplify]: Simplify 0 into 0 15.066 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.066 * [backup-simplify]: Simplify 0 into 0 15.068 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.069 * [taylor]: Taking taylor expansion of 0 in phi2 15.069 * [backup-simplify]: Simplify 0 into 0 15.069 * [taylor]: Taking taylor expansion of 0 in lambda1 15.069 * [backup-simplify]: Simplify 0 into 0 15.069 * [taylor]: Taking taylor expansion of 0 in lambda2 15.069 * [backup-simplify]: Simplify 0 into 0 15.069 * [backup-simplify]: Simplify 0 into 0 15.069 * [taylor]: Taking taylor expansion of 0 in lambda1 15.069 * [backup-simplify]: Simplify 0 into 0 15.069 * [taylor]: Taking taylor expansion of 0 in lambda2 15.069 * [backup-simplify]: Simplify 0 into 0 15.069 * [backup-simplify]: Simplify 0 into 0 15.070 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2))))))))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 15.070 * * * * [progress]: [ 4 / 4 ] generating series at (2) 15.071 * [backup-simplify]: Simplify (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 15.071 * [approximate]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in (phi1 phi2 lambda1 lambda2 R) around 0 15.071 * [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 15.071 * [taylor]: Taking taylor expansion of R in R 15.071 * [backup-simplify]: Simplify 0 into 0 15.071 * [backup-simplify]: Simplify 1 into 1 15.071 * [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 15.072 * [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))))) 15.072 * [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 15.072 * [taylor]: Taking taylor expansion of R in lambda2 15.072 * [backup-simplify]: Simplify R into R 15.072 * [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 15.072 * [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))))) 15.072 * [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 15.072 * [taylor]: Taking taylor expansion of R in lambda1 15.072 * [backup-simplify]: Simplify R into R 15.072 * [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 15.073 * [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))))) 15.073 * [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 15.073 * [taylor]: Taking taylor expansion of R in phi2 15.073 * [backup-simplify]: Simplify R into R 15.073 * [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 15.074 * [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))))) 15.074 * [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 15.074 * [taylor]: Taking taylor expansion of R in phi1 15.074 * [backup-simplify]: Simplify R into R 15.074 * [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 15.074 * [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))))) 15.074 * [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 15.074 * [taylor]: Taking taylor expansion of R in phi1 15.074 * [backup-simplify]: Simplify R into R 15.074 * [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 15.075 * [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))))) 15.075 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 15.075 * [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 15.075 * [taylor]: Taking taylor expansion of R in phi2 15.076 * [backup-simplify]: Simplify R into R 15.076 * [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 15.076 * [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))))) 15.077 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 15.077 * [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 15.077 * [taylor]: Taking taylor expansion of R in lambda1 15.077 * [backup-simplify]: Simplify R into R 15.077 * [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 15.077 * [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))))) 15.078 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 15.078 * [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 15.078 * [taylor]: Taking taylor expansion of R in lambda2 15.078 * [backup-simplify]: Simplify R into R 15.078 * [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 15.078 * [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))))) 15.079 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 15.079 * [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 15.079 * [taylor]: Taking taylor expansion of R in R 15.079 * [backup-simplify]: Simplify 0 into 0 15.079 * [backup-simplify]: Simplify 1 into 1 15.079 * [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 15.080 * [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))))) 15.080 * [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 15.080 * [backup-simplify]: Simplify 0 into 0 15.081 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 15.081 * [taylor]: Taking taylor expansion of 0 in phi2 15.081 * [backup-simplify]: Simplify 0 into 0 15.081 * [taylor]: Taking taylor expansion of 0 in lambda1 15.081 * [backup-simplify]: Simplify 0 into 0 15.081 * [taylor]: Taking taylor expansion of 0 in lambda2 15.081 * [backup-simplify]: Simplify 0 into 0 15.081 * [taylor]: Taking taylor expansion of 0 in R 15.081 * [backup-simplify]: Simplify 0 into 0 15.081 * [backup-simplify]: Simplify 0 into 0 15.082 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 15.082 * [taylor]: Taking taylor expansion of 0 in lambda1 15.082 * [backup-simplify]: Simplify 0 into 0 15.082 * [taylor]: Taking taylor expansion of 0 in lambda2 15.082 * [backup-simplify]: Simplify 0 into 0 15.082 * [taylor]: Taking taylor expansion of 0 in R 15.082 * [backup-simplify]: Simplify 0 into 0 15.082 * [backup-simplify]: Simplify 0 into 0 15.083 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 15.083 * [taylor]: Taking taylor expansion of 0 in lambda2 15.083 * [backup-simplify]: Simplify 0 into 0 15.083 * [taylor]: Taking taylor expansion of 0 in R 15.083 * [backup-simplify]: Simplify 0 into 0 15.083 * [backup-simplify]: Simplify 0 into 0 15.084 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 15.084 * [taylor]: Taking taylor expansion of 0 in R 15.084 * [backup-simplify]: Simplify 0 into 0 15.084 * [backup-simplify]: Simplify 0 into 0 15.085 * [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))))) 15.086 * [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))))) 15.087 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 15.087 * [taylor]: Taking taylor expansion of 0 in phi2 15.087 * [backup-simplify]: Simplify 0 into 0 15.087 * [taylor]: Taking taylor expansion of 0 in lambda1 15.087 * [backup-simplify]: Simplify 0 into 0 15.087 * [taylor]: Taking taylor expansion of 0 in lambda2 15.087 * [backup-simplify]: Simplify 0 into 0 15.087 * [taylor]: Taking taylor expansion of 0 in R 15.087 * [backup-simplify]: Simplify 0 into 0 15.087 * [backup-simplify]: Simplify 0 into 0 15.087 * [taylor]: Taking taylor expansion of 0 in lambda1 15.087 * [backup-simplify]: Simplify 0 into 0 15.087 * [taylor]: Taking taylor expansion of 0 in lambda2 15.087 * [backup-simplify]: Simplify 0 into 0 15.088 * [taylor]: Taking taylor expansion of 0 in R 15.088 * [backup-simplify]: Simplify 0 into 0 15.088 * [backup-simplify]: Simplify 0 into 0 15.089 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 15.089 * [taylor]: Taking taylor expansion of 0 in lambda1 15.089 * [backup-simplify]: Simplify 0 into 0 15.089 * [taylor]: Taking taylor expansion of 0 in lambda2 15.089 * [backup-simplify]: Simplify 0 into 0 15.089 * [taylor]: Taking taylor expansion of 0 in R 15.089 * [backup-simplify]: Simplify 0 into 0 15.089 * [backup-simplify]: Simplify 0 into 0 15.089 * [taylor]: Taking taylor expansion of 0 in lambda2 15.089 * [backup-simplify]: Simplify 0 into 0 15.089 * [taylor]: Taking taylor expansion of 0 in R 15.089 * [backup-simplify]: Simplify 0 into 0 15.089 * [backup-simplify]: Simplify 0 into 0 15.089 * [taylor]: Taking taylor expansion of 0 in lambda2 15.089 * [backup-simplify]: Simplify 0 into 0 15.089 * [taylor]: Taking taylor expansion of 0 in R 15.089 * [backup-simplify]: Simplify 0 into 0 15.089 * [backup-simplify]: Simplify 0 into 0 15.090 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 15.090 * [taylor]: Taking taylor expansion of 0 in lambda2 15.090 * [backup-simplify]: Simplify 0 into 0 15.091 * [taylor]: Taking taylor expansion of 0 in R 15.091 * [backup-simplify]: Simplify 0 into 0 15.091 * [backup-simplify]: Simplify 0 into 0 15.092 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* R (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 15.093 * [backup-simplify]: Simplify (* (log (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))))) (/ 1 R)) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 15.093 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 15.093 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R 15.093 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R 15.094 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 15.094 * [taylor]: Taking taylor expansion of R in R 15.094 * [backup-simplify]: Simplify 0 into 0 15.094 * [backup-simplify]: Simplify 1 into 1 15.094 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 15.094 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2 15.095 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 15.095 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 15.095 * [taylor]: Taking taylor expansion of R in lambda2 15.095 * [backup-simplify]: Simplify R into R 15.096 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 15.096 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1 15.096 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 15.097 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 15.097 * [taylor]: Taking taylor expansion of R in lambda1 15.097 * [backup-simplify]: Simplify R into R 15.098 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 15.098 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2 15.098 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 15.099 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 15.099 * [taylor]: Taking taylor expansion of R in phi2 15.099 * [backup-simplify]: Simplify R into R 15.100 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 15.100 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1 15.100 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 15.100 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 15.101 * [taylor]: Taking taylor expansion of R in phi1 15.101 * [backup-simplify]: Simplify R into R 15.101 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 15.101 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1 15.101 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 15.102 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 15.102 * [taylor]: Taking taylor expansion of R in phi1 15.102 * [backup-simplify]: Simplify R into R 15.103 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 15.103 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2 15.103 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 15.104 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 15.104 * [taylor]: Taking taylor expansion of R in phi2 15.104 * [backup-simplify]: Simplify R into R 15.105 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 15.105 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1 15.105 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 15.106 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 15.106 * [taylor]: Taking taylor expansion of R in lambda1 15.106 * [backup-simplify]: Simplify R into R 15.107 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 15.107 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2 15.107 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 15.108 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 15.108 * [taylor]: Taking taylor expansion of R in lambda2 15.108 * [backup-simplify]: Simplify R into R 15.108 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 15.108 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R 15.109 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R 15.109 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 15.109 * [taylor]: Taking taylor expansion of R in R 15.109 * [backup-simplify]: Simplify 0 into 0 15.109 * [backup-simplify]: Simplify 1 into 1 15.110 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 15.111 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 15.112 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 15.112 * [taylor]: Taking taylor expansion of 0 in phi2 15.112 * [backup-simplify]: Simplify 0 into 0 15.112 * [taylor]: Taking taylor expansion of 0 in lambda1 15.112 * [backup-simplify]: Simplify 0 into 0 15.112 * [taylor]: Taking taylor expansion of 0 in lambda2 15.112 * [backup-simplify]: Simplify 0 into 0 15.112 * [taylor]: Taking taylor expansion of 0 in R 15.112 * [backup-simplify]: Simplify 0 into 0 15.113 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 15.113 * [taylor]: Taking taylor expansion of 0 in lambda1 15.113 * [backup-simplify]: Simplify 0 into 0 15.113 * [taylor]: Taking taylor expansion of 0 in lambda2 15.113 * [backup-simplify]: Simplify 0 into 0 15.113 * [taylor]: Taking taylor expansion of 0 in R 15.113 * [backup-simplify]: Simplify 0 into 0 15.114 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 15.114 * [taylor]: Taking taylor expansion of 0 in lambda2 15.114 * [backup-simplify]: Simplify 0 into 0 15.115 * [taylor]: Taking taylor expansion of 0 in R 15.115 * [backup-simplify]: Simplify 0 into 0 15.116 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 15.116 * [taylor]: Taking taylor expansion of 0 in R 15.116 * [backup-simplify]: Simplify 0 into 0 15.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)))) into 0 15.118 * [backup-simplify]: Simplify 0 into 0 15.119 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 15.119 * [taylor]: Taking taylor expansion of 0 in phi2 15.119 * [backup-simplify]: Simplify 0 into 0 15.119 * [taylor]: Taking taylor expansion of 0 in lambda1 15.120 * [backup-simplify]: Simplify 0 into 0 15.120 * [taylor]: Taking taylor expansion of 0 in lambda2 15.120 * [backup-simplify]: Simplify 0 into 0 15.120 * [taylor]: Taking taylor expansion of 0 in R 15.120 * [backup-simplify]: Simplify 0 into 0 15.120 * [taylor]: Taking taylor expansion of 0 in lambda1 15.120 * [backup-simplify]: Simplify 0 into 0 15.120 * [taylor]: Taking taylor expansion of 0 in lambda2 15.120 * [backup-simplify]: Simplify 0 into 0 15.120 * [taylor]: Taking taylor expansion of 0 in R 15.120 * [backup-simplify]: Simplify 0 into 0 15.121 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 15.121 * [taylor]: Taking taylor expansion of 0 in lambda1 15.121 * [backup-simplify]: Simplify 0 into 0 15.121 * [taylor]: Taking taylor expansion of 0 in lambda2 15.121 * [backup-simplify]: Simplify 0 into 0 15.121 * [taylor]: Taking taylor expansion of 0 in R 15.121 * [backup-simplify]: Simplify 0 into 0 15.121 * [taylor]: Taking taylor expansion of 0 in lambda2 15.121 * [backup-simplify]: Simplify 0 into 0 15.121 * [taylor]: Taking taylor expansion of 0 in R 15.121 * [backup-simplify]: Simplify 0 into 0 15.121 * [taylor]: Taking taylor expansion of 0 in lambda2 15.121 * [backup-simplify]: Simplify 0 into 0 15.121 * [taylor]: Taking taylor expansion of 0 in R 15.121 * [backup-simplify]: Simplify 0 into 0 15.122 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 15.122 * [taylor]: Taking taylor expansion of 0 in lambda2 15.122 * [backup-simplify]: Simplify 0 into 0 15.122 * [taylor]: Taking taylor expansion of 0 in R 15.123 * [backup-simplify]: Simplify 0 into 0 15.123 * [taylor]: Taking taylor expansion of 0 in R 15.123 * [backup-simplify]: Simplify 0 into 0 15.123 * [taylor]: Taking taylor expansion of 0 in R 15.123 * [backup-simplify]: Simplify 0 into 0 15.123 * [taylor]: Taking taylor expansion of 0 in R 15.123 * [backup-simplify]: Simplify 0 into 0 15.124 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 15.124 * [taylor]: Taking taylor expansion of 0 in R 15.124 * [backup-simplify]: Simplify 0 into 0 15.124 * [backup-simplify]: Simplify 0 into 0 15.124 * [backup-simplify]: Simplify 0 into 0 15.124 * [backup-simplify]: Simplify 0 into 0 15.124 * [backup-simplify]: Simplify 0 into 0 15.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.127 * [backup-simplify]: Simplify 0 into 0 15.128 * [backup-simplify]: Simplify (* (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 15.130 * [backup-simplify]: Simplify (* (log (exp (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))))) (/ 1 (- R))) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 15.130 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 15.130 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R 15.130 * [taylor]: Taking taylor expansion of -1 in R 15.130 * [backup-simplify]: Simplify -1 into -1 15.130 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R 15.130 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R 15.131 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.131 * [taylor]: Taking taylor expansion of R in R 15.131 * [backup-simplify]: Simplify 0 into 0 15.131 * [backup-simplify]: Simplify 1 into 1 15.132 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 15.132 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda2 15.133 * [taylor]: Taking taylor expansion of -1 in lambda2 15.133 * [backup-simplify]: Simplify -1 into -1 15.133 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda2 15.133 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 15.134 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.134 * [taylor]: Taking taylor expansion of R in lambda2 15.134 * [backup-simplify]: Simplify R into R 15.135 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 15.135 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1 15.135 * [taylor]: Taking taylor expansion of -1 in lambda1 15.135 * [backup-simplify]: Simplify -1 into -1 15.135 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1 15.135 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 15.136 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.136 * [taylor]: Taking taylor expansion of R in lambda1 15.136 * [backup-simplify]: Simplify R into R 15.136 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 15.136 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi2 15.137 * [taylor]: Taking taylor expansion of -1 in phi2 15.137 * [backup-simplify]: Simplify -1 into -1 15.137 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi2 15.137 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 15.137 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.137 * [taylor]: Taking taylor expansion of R in phi2 15.137 * [backup-simplify]: Simplify R into R 15.138 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 15.138 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1 15.138 * [taylor]: Taking taylor expansion of -1 in phi1 15.138 * [backup-simplify]: Simplify -1 into -1 15.138 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1 15.138 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 15.139 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.139 * [taylor]: Taking taylor expansion of R in phi1 15.139 * [backup-simplify]: Simplify R into R 15.140 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 15.140 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1 15.140 * [taylor]: Taking taylor expansion of -1 in phi1 15.140 * [backup-simplify]: Simplify -1 into -1 15.140 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1 15.140 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 15.141 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.141 * [taylor]: Taking taylor expansion of R in phi1 15.141 * [backup-simplify]: Simplify R into R 15.142 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 15.143 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) 15.143 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in phi2 15.143 * [taylor]: Taking taylor expansion of -1 in phi2 15.143 * [backup-simplify]: Simplify -1 into -1 15.143 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in phi2 15.143 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 15.144 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 15.144 * [taylor]: Taking taylor expansion of R in phi2 15.144 * [backup-simplify]: Simplify R into R 15.145 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) 15.146 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 15.146 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1 15.146 * [taylor]: Taking taylor expansion of -1 in lambda1 15.146 * [backup-simplify]: Simplify -1 into -1 15.146 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1 15.146 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 15.147 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.147 * [taylor]: Taking taylor expansion of R in lambda1 15.147 * [backup-simplify]: Simplify R into R 15.148 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 15.149 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) 15.149 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in lambda2 15.149 * [taylor]: Taking taylor expansion of -1 in lambda2 15.149 * [backup-simplify]: Simplify -1 into -1 15.149 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in lambda2 15.149 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 15.150 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 15.150 * [taylor]: Taking taylor expansion of R in lambda2 15.150 * [backup-simplify]: Simplify R into R 15.151 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) 15.154 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 15.154 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R 15.154 * [taylor]: Taking taylor expansion of -1 in R 15.154 * [backup-simplify]: Simplify -1 into -1 15.154 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R 15.154 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R 15.155 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.155 * [taylor]: Taking taylor expansion of R in R 15.155 * [backup-simplify]: Simplify 0 into 0 15.155 * [backup-simplify]: Simplify 1 into 1 15.156 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 15.156 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) 15.157 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 15.158 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0 15.159 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0 15.159 * [taylor]: Taking taylor expansion of 0 in phi2 15.159 * [backup-simplify]: Simplify 0 into 0 15.159 * [taylor]: Taking taylor expansion of 0 in lambda1 15.159 * [backup-simplify]: Simplify 0 into 0 15.159 * [taylor]: Taking taylor expansion of 0 in lambda2 15.159 * [backup-simplify]: Simplify 0 into 0 15.159 * [taylor]: Taking taylor expansion of 0 in R 15.159 * [backup-simplify]: Simplify 0 into 0 15.159 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0 15.160 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0 15.160 * [taylor]: Taking taylor expansion of 0 in lambda1 15.160 * [backup-simplify]: Simplify 0 into 0 15.160 * [taylor]: Taking taylor expansion of 0 in lambda2 15.160 * [backup-simplify]: Simplify 0 into 0 15.160 * [taylor]: Taking taylor expansion of 0 in R 15.160 * [backup-simplify]: Simplify 0 into 0 15.161 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0 15.162 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0 15.162 * [taylor]: Taking taylor expansion of 0 in lambda2 15.162 * [backup-simplify]: Simplify 0 into 0 15.162 * [taylor]: Taking taylor expansion of 0 in R 15.162 * [backup-simplify]: Simplify 0 into 0 15.162 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0 15.163 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0 15.163 * [taylor]: Taking taylor expansion of 0 in R 15.163 * [backup-simplify]: Simplify 0 into 0 15.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)))) into 0 15.165 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into 0 15.165 * [backup-simplify]: Simplify 0 into 0 15.165 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 15.166 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0 15.167 * [taylor]: Taking taylor expansion of 0 in phi2 15.167 * [backup-simplify]: Simplify 0 into 0 15.167 * [taylor]: Taking taylor expansion of 0 in lambda1 15.167 * [backup-simplify]: Simplify 0 into 0 15.167 * [taylor]: Taking taylor expansion of 0 in lambda2 15.167 * [backup-simplify]: Simplify 0 into 0 15.167 * [taylor]: Taking taylor expansion of 0 in R 15.167 * [backup-simplify]: Simplify 0 into 0 15.167 * [taylor]: Taking taylor expansion of 0 in lambda1 15.167 * [backup-simplify]: Simplify 0 into 0 15.167 * [taylor]: Taking taylor expansion of 0 in lambda2 15.167 * [backup-simplify]: Simplify 0 into 0 15.167 * [taylor]: Taking taylor expansion of 0 in R 15.167 * [backup-simplify]: Simplify 0 into 0 15.167 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 15.168 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0 15.168 * [taylor]: Taking taylor expansion of 0 in lambda1 15.168 * [backup-simplify]: Simplify 0 into 0 15.168 * [taylor]: Taking taylor expansion of 0 in lambda2 15.168 * [backup-simplify]: Simplify 0 into 0 15.168 * [taylor]: Taking taylor expansion of 0 in R 15.168 * [backup-simplify]: Simplify 0 into 0 15.168 * [taylor]: Taking taylor expansion of 0 in lambda2 15.168 * [backup-simplify]: Simplify 0 into 0 15.169 * [taylor]: Taking taylor expansion of 0 in R 15.169 * [backup-simplify]: Simplify 0 into 0 15.169 * [taylor]: Taking taylor expansion of 0 in lambda2 15.169 * [backup-simplify]: Simplify 0 into 0 15.169 * [taylor]: Taking taylor expansion of 0 in R 15.169 * [backup-simplify]: Simplify 0 into 0 15.169 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 15.170 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0 15.170 * [taylor]: Taking taylor expansion of 0 in lambda2 15.170 * [backup-simplify]: Simplify 0 into 0 15.170 * [taylor]: Taking taylor expansion of 0 in R 15.170 * [backup-simplify]: Simplify 0 into 0 15.171 * [taylor]: Taking taylor expansion of 0 in R 15.171 * [backup-simplify]: Simplify 0 into 0 15.171 * [taylor]: Taking taylor expansion of 0 in R 15.171 * [backup-simplify]: Simplify 0 into 0 15.171 * [taylor]: Taking taylor expansion of 0 in R 15.171 * [backup-simplify]: Simplify 0 into 0 15.171 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 15.172 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0 15.172 * [taylor]: Taking taylor expansion of 0 in R 15.172 * [backup-simplify]: Simplify 0 into 0 15.172 * [backup-simplify]: Simplify 0 into 0 15.172 * [backup-simplify]: Simplify 0 into 0 15.172 * [backup-simplify]: Simplify 0 into 0 15.172 * [backup-simplify]: Simplify 0 into 0 15.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.175 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))))) into 0 15.175 * [backup-simplify]: Simplify 0 into 0 15.176 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 15.176 * * * [progress]: simplifying candidates 15.176 * * * * [progress]: [ 1 / 74 ] simplifiying candidate # 15.176 * * * * [progress]: [ 2 / 74 ] simplifiying candidate # 15.176 * * * * [progress]: [ 3 / 74 ] simplifiying candidate # 15.176 * * * * [progress]: [ 4 / 74 ] simplifiying candidate # 15.176 * * * * [progress]: [ 5 / 74 ] simplifiying candidate # 15.176 * * * * [progress]: [ 6 / 74 ] simplifiying candidate # 15.176 * * * * [progress]: [ 7 / 74 ] simplifiying candidate # 15.176 * * * * [progress]: [ 8 / 74 ] simplifiying candidate # 15.176 * * * * [progress]: [ 9 / 74 ] simplifiying candidate #real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))> 15.177 * * * * [progress]: [ 10 / 74 ] simplifiying candidate # 15.177 * * * * [progress]: [ 11 / 74 ] simplifiying candidate # 15.177 * * * * [progress]: [ 12 / 74 ] simplifiying candidate # 15.177 * * * * [progress]: [ 13 / 74 ] simplifiying candidate # 15.177 * * * * [progress]: [ 14 / 74 ] simplifiying candidate # 15.177 * * * * [progress]: [ 15 / 74 ] simplifiying candidate # 15.177 * * * * [progress]: [ 16 / 74 ] simplifiying candidate # 15.177 * * * * [progress]: [ 17 / 74 ] simplifiying candidate # 15.177 * * * * [progress]: [ 18 / 74 ] simplifiying candidate # 15.177 * * * * [progress]: [ 19 / 74 ] simplifiying candidate # 15.177 * * * * [progress]: [ 20 / 74 ] simplifiying candidate # 15.177 * * * * [progress]: [ 21 / 74 ] simplifiying candidate # 15.177 * * * * [progress]: [ 22 / 74 ] simplifiying candidate # 15.178 * * * * [progress]: [ 23 / 74 ] simplifiying candidate # 15.178 * * * * [progress]: [ 24 / 74 ] simplifiying candidate # 15.178 * * * * [progress]: [ 25 / 74 ] simplifiying candidate # 15.178 * * * * [progress]: [ 26 / 74 ] simplifiying candidate #real (real->posit16 (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))> 15.178 * * * * [progress]: [ 27 / 74 ] simplifiying candidate # 15.178 * * * * [progress]: [ 28 / 74 ] simplifiying candidate # 15.178 * * * * [progress]: [ 29 / 74 ] simplifiying candidate # 15.178 * * * * [progress]: [ 30 / 74 ] simplifiying candidate # 15.178 * * * * [progress]: [ 31 / 74 ] simplifiying candidate # 15.178 * * * * [progress]: [ 32 / 74 ] simplifiying candidate # 15.178 * * * * [progress]: [ 33 / 74 ] simplifiying candidate # 15.178 * * * * [progress]: [ 34 / 74 ] simplifiying candidate # 15.179 * * * * [progress]: [ 35 / 74 ] simplifiying candidate # 15.179 * * * * [progress]: [ 36 / 74 ] simplifiying candidate # 15.179 * * * * [progress]: [ 37 / 74 ] simplifiying candidate # 15.179 * * * * [progress]: [ 38 / 74 ] simplifiying candidate # 15.179 * * * * [progress]: [ 39 / 74 ] simplifiying candidate #real (real->posit16 (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))> 15.179 * * * * [progress]: [ 40 / 74 ] simplifiying candidate # 15.179 * * * * [progress]: [ 41 / 74 ] simplifiying candidate # 15.179 * * * * [progress]: [ 42 / 74 ] simplifiying candidate # 15.179 * * * * [progress]: [ 43 / 74 ] simplifiying candidate # 15.179 * * * * [progress]: [ 44 / 74 ] simplifiying candidate # 15.179 * * * * [progress]: [ 45 / 74 ] simplifiying candidate # 15.179 * * * * [progress]: [ 46 / 74 ] simplifiying candidate # 15.179 * * * * [progress]: [ 47 / 74 ] simplifiying candidate # 15.180 * * * * [progress]: [ 48 / 74 ] simplifiying candidate # 15.180 * * * * [progress]: [ 49 / 74 ] simplifiying candidate # 15.180 * * * * [progress]: [ 50 / 74 ] simplifiying candidate # 15.180 * * * * [progress]: [ 51 / 74 ] simplifiying candidate # 15.180 * * * * [progress]: [ 52 / 74 ] simplifiying candidate # 15.180 * * * * [progress]: [ 53 / 74 ] simplifiying candidate # 15.180 * * * * [progress]: [ 54 / 74 ] simplifiying candidate # 15.180 * * * * [progress]: [ 55 / 74 ] simplifiying candidate # 15.180 * * * * [progress]: [ 56 / 74 ] simplifiying candidate # 15.180 * * * * [progress]: [ 57 / 74 ] simplifiying candidate # 15.180 * * * * [progress]: [ 58 / 74 ] simplifiying candidate # 15.180 * * * * [progress]: [ 59 / 74 ] simplifiying candidate # 15.181 * * * * [progress]: [ 60 / 74 ] simplifiying candidate # 15.181 * * * * [progress]: [ 61 / 74 ] simplifiying candidate #real (real->posit16 (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))))> 15.181 * * * * [progress]: [ 62 / 74 ] simplifiying candidate # 15.181 * * * * [progress]: [ 63 / 74 ] simplifiying candidate # 15.181 * * * * [progress]: [ 64 / 74 ] simplifiying candidate # 15.181 * * * * [progress]: [ 65 / 74 ] simplifiying candidate # 15.181 * * * * [progress]: [ 66 / 74 ] simplifiying candidate # 15.181 * * * * [progress]: [ 67 / 74 ] simplifiying candidate # 15.181 * * * * [progress]: [ 68 / 74 ] simplifiying candidate # 15.181 * * * * [progress]: [ 69 / 74 ] simplifiying candidate # 15.181 * * * * [progress]: [ 70 / 74 ] simplifiying candidate # 15.181 * * * * [progress]: [ 71 / 74 ] simplifiying candidate # 15.181 * * * * [progress]: [ 72 / 74 ] simplifiying candidate # 15.181 * * * * [progress]: [ 73 / 74 ] simplifiying candidate # 15.181 * * * * [progress]: [ 74 / 74 ] simplifiying candidate # 15.183 * [simplify]: Simplifying: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log 1) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (/ PI 2))) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp 1)) (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (real->posit16 (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp 1) (exp (/ PI 2)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (* (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) 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enodes) 15.640 * * [simplify]: iteration 5: (813 enodes) 15.951 * * [simplify]: iteration 6: (1438 enodes) 17.991 * * [simplify]: Extracting #0: cost 41 inf + 0 17.993 * * [simplify]: Extracting #1: cost 373 inf + 4 18.004 * * [simplify]: Extracting #2: cost 969 inf + 1405 18.015 * * [simplify]: Extracting #3: cost 1301 inf + 6308 18.027 * * [simplify]: Extracting #4: cost 1284 inf + 10151 18.040 * * [simplify]: Extracting #5: cost 1277 inf + 10220 18.053 * * [simplify]: Extracting #6: cost 1253 inf + 14470 18.068 * * [simplify]: Extracting #7: cost 1240 inf + 19971 18.142 * * [simplify]: Extracting #8: cost 956 inf + 336536 18.399 * * [simplify]: Extracting #9: cost 185 inf + 1274336 18.822 * * [simplify]: Extracting #10: cost 5 inf + 1439127 19.176 * * [simplify]: Extracting #11: cost 0 inf + 1399297 19.470 * * [simplify]: Extracting #12: cost 0 inf + 1396527 19.830 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos 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lambda2))))) (* (sin phi2) (sin phi1))))))) (cbrt (* R (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1)))))) (* (* R (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1))))) (* (* R (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1))))) (* R (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1))))))) (sqrt (* R (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1)))))) (sqrt (* R (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1)))))) (* (sqrt (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1))))) (sqrt R)) (* (sqrt (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1))))) (sqrt R)) (* (* (cbrt R) (cbrt R)) (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1))))) (* (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1)))) (sqrt R)) (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1)))) (* R (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1))))) (* (cbrt (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1))))) (* (cbrt (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1))))) R)) (* R (sqrt (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1)))))) R (* (cbrt (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1))))) R) (* R (sqrt (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1)))))) (* R (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1))))) (real->posit16 (* R (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1)))))) (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1)))) (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1)))) (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1)))) (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1)))) (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1)))) (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1)))) (exp (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1))))) (exp (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1))))) (exp (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1))))) (* R (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1))))) (* R (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1))))) (* R (acos (+ (* (cos phi2) (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1))))) 19.839 * * * [progress]: adding candidates to table 21.549 * * [progress]: iteration 4 / 4 21.549 * * * [progress]: picking best candidate 21.809 * * * * [pick]: Picked # 21.809 * * * [progress]: localizing error 21.934 * * * [progress]: generating rewritten candidates 21.934 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 21.936 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1 2 1) 22.000 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1 2 2) 22.060 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 22.067 * * * [progress]: generating series expansions 22.067 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 22.067 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 22.067 * [approximate]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) in (phi1 phi2 lambda1 lambda2) around 0 22.067 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) in lambda2 22.068 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 22.068 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) in lambda1 22.069 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 22.069 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) in phi2 22.070 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 22.070 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) in phi1 22.071 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 22.071 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) in phi1 22.071 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 22.071 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) in phi2 22.072 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 22.072 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) in lambda1 22.073 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 22.073 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) in lambda2 22.074 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 22.075 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 22.075 * [taylor]: Taking taylor expansion of 0 in phi2 22.075 * [backup-simplify]: Simplify 0 into 0 22.075 * [taylor]: Taking taylor expansion of 0 in lambda1 22.075 * [backup-simplify]: Simplify 0 into 0 22.075 * [taylor]: Taking taylor expansion of 0 in lambda2 22.075 * [backup-simplify]: Simplify 0 into 0 22.075 * [backup-simplify]: Simplify 0 into 0 22.075 * [taylor]: Taking taylor expansion of 0 in lambda1 22.075 * [backup-simplify]: Simplify 0 into 0 22.075 * [taylor]: Taking taylor expansion of 0 in lambda2 22.075 * [backup-simplify]: Simplify 0 into 0 22.075 * [backup-simplify]: Simplify 0 into 0 22.075 * [taylor]: Taking taylor expansion of 0 in lambda2 22.075 * [backup-simplify]: Simplify 0 into 0 22.075 * [backup-simplify]: Simplify 0 into 0 22.075 * [backup-simplify]: Simplify 0 into 0 22.075 * [taylor]: Taking taylor expansion of 0 in phi2 22.075 * [backup-simplify]: Simplify 0 into 0 22.075 * [taylor]: Taking taylor expansion of 0 in lambda1 22.075 * [backup-simplify]: Simplify 0 into 0 22.075 * [taylor]: Taking taylor expansion of 0 in lambda2 22.075 * [backup-simplify]: Simplify 0 into 0 22.075 * [backup-simplify]: Simplify 0 into 0 22.075 * [taylor]: Taking taylor expansion of 0 in lambda1 22.075 * [backup-simplify]: Simplify 0 into 0 22.075 * [taylor]: Taking taylor expansion of 0 in lambda2 22.075 * [backup-simplify]: Simplify 0 into 0 22.075 * [backup-simplify]: Simplify 0 into 0 22.076 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 22.077 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (/ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) into (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) 22.077 * [approximate]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) in (phi1 phi2 lambda1 lambda2) around 0 22.077 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) in lambda2 22.078 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) 22.078 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) in lambda1 22.079 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) 22.079 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) in phi2 22.080 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) 22.081 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) in phi1 22.082 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) 22.083 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) in phi1 22.085 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) 22.085 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) in phi2 22.087 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) 22.087 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) in lambda1 22.089 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) 22.089 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) in lambda2 22.091 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) 22.093 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) 22.093 * [taylor]: Taking taylor expansion of 0 in phi2 22.094 * [backup-simplify]: Simplify 0 into 0 22.094 * [taylor]: Taking taylor expansion of 0 in lambda1 22.094 * [backup-simplify]: Simplify 0 into 0 22.094 * [taylor]: Taking taylor expansion of 0 in lambda2 22.094 * [backup-simplify]: Simplify 0 into 0 22.094 * [backup-simplify]: Simplify 0 into 0 22.094 * [taylor]: Taking taylor expansion of 0 in lambda1 22.094 * [backup-simplify]: Simplify 0 into 0 22.094 * [taylor]: Taking taylor expansion of 0 in lambda2 22.094 * [backup-simplify]: Simplify 0 into 0 22.094 * [backup-simplify]: Simplify 0 into 0 22.094 * [taylor]: Taking taylor expansion of 0 in lambda2 22.094 * [backup-simplify]: Simplify 0 into 0 22.094 * [backup-simplify]: Simplify 0 into 0 22.094 * [backup-simplify]: Simplify 0 into 0 22.094 * [taylor]: Taking taylor expansion of 0 in phi2 22.094 * [backup-simplify]: Simplify 0 into 0 22.094 * [taylor]: Taking taylor expansion of 0 in lambda1 22.094 * [backup-simplify]: Simplify 0 into 0 22.094 * [taylor]: Taking taylor expansion of 0 in lambda2 22.094 * [backup-simplify]: Simplify 0 into 0 22.094 * [backup-simplify]: Simplify 0 into 0 22.094 * [taylor]: Taking taylor expansion of 0 in lambda1 22.094 * [backup-simplify]: Simplify 0 into 0 22.094 * [taylor]: Taking taylor expansion of 0 in lambda2 22.094 * [backup-simplify]: Simplify 0 into 0 22.094 * [backup-simplify]: Simplify 0 into 0 22.097 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (/ (* (cos (/ 1 (/ 1 phi2))) (* (pow (cos (/ 1 (/ 1 lambda2))) 2) (* (pow (cos (/ 1 (/ 1 lambda1))) 2) (cos (/ 1 (/ 1 phi1)))))) (- (* (cos (/ 1 (/ 1 lambda2))) (cos (/ 1 (/ 1 lambda1)))) (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1))))))) (/ (* (cos (/ 1 (/ 1 phi2))) (* (pow (sin (/ 1 (/ 1 lambda2))) 2) (* (pow (sin (/ 1 (/ 1 lambda1))) 2) (cos (/ 1 (/ 1 phi1)))))) (- (* (cos (/ 1 (/ 1 lambda2))) (cos (/ 1 (/ 1 lambda1)))) (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) 22.099 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (/ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) 22.099 * [approximate]: Taking taylor expansion of (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 22.099 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) in lambda2 22.101 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) into (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) 22.101 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) in lambda1 22.103 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) into (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) 22.103 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) in phi2 22.105 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) into (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) 22.105 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) in phi1 22.107 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) into (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) 22.107 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) in phi1 22.109 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) into (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) 22.110 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) in phi2 22.112 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) into (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) 22.112 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) in lambda1 22.115 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) into (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) 22.115 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) in lambda2 22.117 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) into (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) 22.119 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) into (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) 22.119 * [taylor]: Taking taylor expansion of 0 in phi2 22.119 * [backup-simplify]: Simplify 0 into 0 22.119 * [taylor]: Taking taylor expansion of 0 in lambda1 22.119 * [backup-simplify]: Simplify 0 into 0 22.119 * [taylor]: Taking taylor expansion of 0 in lambda2 22.119 * [backup-simplify]: Simplify 0 into 0 22.119 * [backup-simplify]: Simplify 0 into 0 22.119 * [taylor]: Taking taylor expansion of 0 in lambda1 22.119 * [backup-simplify]: Simplify 0 into 0 22.119 * [taylor]: Taking taylor expansion of 0 in lambda2 22.119 * [backup-simplify]: Simplify 0 into 0 22.119 * [backup-simplify]: Simplify 0 into 0 22.119 * [taylor]: Taking taylor expansion of 0 in lambda2 22.119 * [backup-simplify]: Simplify 0 into 0 22.119 * [backup-simplify]: Simplify 0 into 0 22.119 * [backup-simplify]: Simplify 0 into 0 22.119 * [taylor]: Taking taylor expansion of 0 in phi2 22.120 * [backup-simplify]: Simplify 0 into 0 22.120 * [taylor]: Taking taylor expansion of 0 in lambda1 22.120 * [backup-simplify]: Simplify 0 into 0 22.120 * [taylor]: Taking taylor expansion of 0 in lambda2 22.120 * [backup-simplify]: Simplify 0 into 0 22.120 * [backup-simplify]: Simplify 0 into 0 22.120 * [taylor]: Taking taylor expansion of 0 in lambda1 22.120 * [backup-simplify]: Simplify 0 into 0 22.120 * [taylor]: Taking taylor expansion of 0 in lambda2 22.120 * [backup-simplify]: Simplify 0 into 0 22.120 * [backup-simplify]: Simplify 0 into 0 22.122 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (/ (* (cos (/ -1 (/ 1 (- phi1)))) (* (pow (cos (/ -1 (/ 1 (- lambda1)))) 2) (* (cos (/ -1 (/ 1 (- phi2)))) (pow (cos (/ -1 (/ 1 (- lambda2)))) 2)))) (- (* (cos (/ -1 (/ 1 (- lambda1)))) (cos (/ -1 (/ 1 (- lambda2))))) (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2)))))))) (/ (* (cos (/ -1 (/ 1 (- phi1)))) (* (pow (sin (/ -1 (/ 1 (- lambda1)))) 2) (* (cos (/ -1 (/ 1 (- phi2)))) (pow (sin (/ -1 (/ 1 (- lambda2)))) 2)))) (- (* (cos (/ -1 (/ 1 (- lambda1)))) (cos (/ -1 (/ 1 (- lambda2))))) (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 22.122 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1 2 1) 22.123 * [backup-simplify]: Simplify (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) into (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)) 22.123 * [approximate]: Taking taylor expansion of (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)) in (lambda1 lambda2) around 0 22.123 * [taylor]: Taking taylor expansion of (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)) in lambda2 22.123 * [taylor]: Taking taylor expansion of (pow (cos lambda1) 2) in lambda2 22.123 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda2 22.123 * [taylor]: Taking taylor expansion of lambda1 in lambda2 22.123 * [backup-simplify]: Simplify lambda1 into lambda1 22.123 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 22.123 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 22.123 * [backup-simplify]: Simplify (* (cos lambda1) 1) into (cos lambda1) 22.123 * [backup-simplify]: Simplify (* (sin lambda1) 0) into 0 22.124 * [backup-simplify]: Simplify (- 0) into 0 22.124 * [backup-simplify]: Simplify (+ (cos lambda1) 0) into (cos lambda1) 22.124 * [taylor]: Taking taylor expansion of (pow (cos lambda2) 2) in lambda2 22.124 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 22.125 * [taylor]: Taking taylor expansion of lambda2 in lambda2 22.125 * [backup-simplify]: Simplify 0 into 0 22.125 * [backup-simplify]: Simplify 1 into 1 22.125 * [taylor]: Taking taylor expansion of (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)) in lambda1 22.125 * [taylor]: Taking taylor expansion of (pow (cos lambda1) 2) in lambda1 22.125 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 22.125 * [taylor]: Taking taylor expansion of lambda1 in lambda1 22.125 * [backup-simplify]: Simplify 0 into 0 22.125 * [backup-simplify]: Simplify 1 into 1 22.125 * [taylor]: Taking taylor expansion of (pow (cos lambda2) 2) in lambda1 22.125 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 22.125 * [taylor]: Taking taylor expansion of lambda2 in lambda1 22.125 * [backup-simplify]: Simplify lambda2 into lambda2 22.125 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 22.125 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 22.125 * [backup-simplify]: Simplify (* (cos lambda2) 1) into (cos lambda2) 22.125 * [backup-simplify]: Simplify (* (sin lambda2) 0) into 0 22.126 * [backup-simplify]: Simplify (- 0) into 0 22.126 * [backup-simplify]: Simplify (+ (cos lambda2) 0) into (cos lambda2) 22.126 * [taylor]: Taking taylor expansion of (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)) in lambda1 22.126 * [taylor]: Taking taylor expansion of (pow (cos lambda1) 2) in lambda1 22.126 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 22.126 * [taylor]: Taking taylor expansion of lambda1 in lambda1 22.126 * [backup-simplify]: Simplify 0 into 0 22.126 * [backup-simplify]: Simplify 1 into 1 22.126 * [taylor]: Taking taylor expansion of (pow (cos lambda2) 2) in lambda1 22.126 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 22.126 * [taylor]: Taking taylor expansion of lambda2 in lambda1 22.126 * [backup-simplify]: Simplify lambda2 into lambda2 22.126 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 22.126 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 22.126 * [backup-simplify]: Simplify (* (cos lambda2) 1) into (cos lambda2) 22.126 * [backup-simplify]: Simplify (* (sin lambda2) 0) into 0 22.127 * [backup-simplify]: Simplify (- 0) into 0 22.127 * [backup-simplify]: Simplify (+ (cos lambda2) 0) into (cos lambda2) 22.127 * [backup-simplify]: Simplify (* 1 1) into 1 22.127 * [backup-simplify]: Simplify (* (cos lambda2) (cos lambda2)) into (pow (cos lambda2) 2) 22.128 * [backup-simplify]: Simplify (* 1 (pow (cos lambda2) 2)) into (pow (cos lambda2) 2) 22.128 * [taylor]: Taking taylor expansion of (pow (cos lambda2) 2) in lambda2 22.128 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 22.128 * [taylor]: Taking taylor expansion of lambda2 in lambda2 22.128 * [backup-simplify]: Simplify 0 into 0 22.128 * [backup-simplify]: Simplify 1 into 1 22.128 * [backup-simplify]: Simplify (* 1 1) into 1 22.128 * [backup-simplify]: Simplify 1 into 1 22.129 * [backup-simplify]: Simplify (+ 0) into 0 22.129 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 1)) into 0 22.130 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 22.130 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 0)) into 0 22.131 * [backup-simplify]: Simplify (- 0) into 0 22.131 * [backup-simplify]: Simplify (+ 0 0) into 0 22.131 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 (cos lambda2))) into 0 22.132 * [backup-simplify]: Simplify (+ 0) into 0 22.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos lambda2) 2))) into 0 22.133 * [taylor]: Taking taylor expansion of 0 in lambda2 22.133 * [backup-simplify]: Simplify 0 into 0 22.133 * [backup-simplify]: Simplify 0 into 0 22.133 * [backup-simplify]: Simplify (+ 0) into 0 22.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.134 * [backup-simplify]: Simplify 0 into 0 22.135 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 22.136 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 22.137 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 22.137 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 22.138 * [backup-simplify]: Simplify (- 0) into 0 22.138 * [backup-simplify]: Simplify (+ 0 0) into 0 22.139 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 (cos lambda2)))) into 0 22.140 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 22.141 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 1))) into -1 22.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1 (pow (cos lambda2) 2)))) into (- (pow (cos lambda2) 2)) 22.142 * [taylor]: Taking taylor expansion of (- (pow (cos lambda2) 2)) in lambda2 22.142 * [taylor]: Taking taylor expansion of (pow (cos lambda2) 2) in lambda2 22.142 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 22.142 * [taylor]: Taking taylor expansion of lambda2 in lambda2 22.142 * [backup-simplify]: Simplify 0 into 0 22.142 * [backup-simplify]: Simplify 1 into 1 22.142 * [backup-simplify]: Simplify (* 1 1) into 1 22.143 * [backup-simplify]: Simplify (- 1) into -1 22.143 * [backup-simplify]: Simplify -1 into -1 22.143 * [backup-simplify]: Simplify 0 into 0 22.144 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 22.145 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 1))) into -1 22.145 * [backup-simplify]: Simplify -1 into -1 22.145 * [backup-simplify]: Simplify (+ (* -1 (pow (* lambda2 1) 2)) (+ (* -1 (pow (* 1 lambda1) 2)) 1)) into (- 1 (+ (pow lambda1 2) (pow lambda2 2))) 22.145 * [backup-simplify]: Simplify (* (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) into (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) 22.146 * [approximate]: Taking taylor expansion of (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) in (lambda1 lambda2) around 0 22.146 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) in lambda2 22.146 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 lambda2)) 2) in lambda2 22.146 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 22.146 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 22.146 * [taylor]: Taking taylor expansion of lambda2 in lambda2 22.146 * [backup-simplify]: Simplify 0 into 0 22.146 * [backup-simplify]: Simplify 1 into 1 22.146 * [backup-simplify]: Simplify (/ 1 1) into 1 22.146 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 22.146 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 lambda1)) 2) in lambda2 22.146 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 22.146 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 22.146 * [taylor]: Taking taylor expansion of lambda1 in lambda2 22.146 * [backup-simplify]: Simplify lambda1 into lambda1 22.146 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 22.147 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 22.147 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 22.147 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 1) into (cos (/ 1 lambda1)) 22.147 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 0) into 0 22.147 * [backup-simplify]: Simplify (- 0) into 0 22.147 * [backup-simplify]: Simplify (+ (cos (/ 1 lambda1)) 0) into (cos (/ 1 lambda1)) 22.147 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) in lambda1 22.147 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 lambda2)) 2) in lambda1 22.147 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 22.147 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 22.147 * [taylor]: Taking taylor expansion of lambda2 in lambda1 22.147 * [backup-simplify]: Simplify lambda2 into lambda2 22.147 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 22.148 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 22.148 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 22.148 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 1) into (cos (/ 1 lambda2)) 22.148 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 0) into 0 22.148 * [backup-simplify]: Simplify (- 0) into 0 22.148 * [backup-simplify]: Simplify (+ (cos (/ 1 lambda2)) 0) into (cos (/ 1 lambda2)) 22.148 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 lambda1)) 2) in lambda1 22.148 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 22.148 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 22.148 * [taylor]: Taking taylor expansion of lambda1 in lambda1 22.148 * [backup-simplify]: Simplify 0 into 0 22.148 * [backup-simplify]: Simplify 1 into 1 22.149 * [backup-simplify]: Simplify (/ 1 1) into 1 22.149 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 22.149 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) in lambda1 22.149 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 lambda2)) 2) in lambda1 22.149 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 22.149 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 22.149 * [taylor]: Taking taylor expansion of lambda2 in lambda1 22.149 * [backup-simplify]: Simplify lambda2 into lambda2 22.149 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 22.149 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 22.149 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 22.149 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 1) into (cos (/ 1 lambda2)) 22.149 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 0) into 0 22.150 * [backup-simplify]: Simplify (- 0) into 0 22.150 * [backup-simplify]: Simplify (+ (cos (/ 1 lambda2)) 0) into (cos (/ 1 lambda2)) 22.150 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 lambda1)) 2) in lambda1 22.150 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 22.150 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 22.150 * [taylor]: Taking taylor expansion of lambda1 in lambda1 22.150 * [backup-simplify]: Simplify 0 into 0 22.150 * [backup-simplify]: Simplify 1 into 1 22.150 * [backup-simplify]: Simplify (/ 1 1) into 1 22.151 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 22.151 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) (cos (/ 1 lambda2))) into (pow (cos (/ 1 lambda2)) 2) 22.151 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) (cos (/ 1 lambda1))) into (pow (cos (/ 1 lambda1)) 2) 22.151 * [backup-simplify]: Simplify (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) into (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) 22.151 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) in lambda2 22.151 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 lambda2)) 2) in lambda2 22.151 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 22.151 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 22.151 * [taylor]: Taking taylor expansion of lambda2 in lambda2 22.151 * [backup-simplify]: Simplify 0 into 0 22.151 * [backup-simplify]: Simplify 1 into 1 22.152 * [backup-simplify]: Simplify (/ 1 1) into 1 22.152 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 22.152 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 lambda1)) 2) in lambda2 22.152 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 22.152 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 22.152 * [taylor]: Taking taylor expansion of lambda1 in lambda2 22.152 * [backup-simplify]: Simplify lambda1 into lambda1 22.152 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 22.152 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 22.152 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 22.152 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 1) into (cos (/ 1 lambda1)) 22.152 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 0) into 0 22.153 * [backup-simplify]: Simplify (- 0) into 0 22.153 * [backup-simplify]: Simplify (+ (cos (/ 1 lambda1)) 0) into (cos (/ 1 lambda1)) 22.153 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) (cos (/ 1 lambda2))) into (pow (cos (/ 1 lambda2)) 2) 22.153 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) (cos (/ 1 lambda1))) into (pow (cos (/ 1 lambda1)) 2) 22.153 * [backup-simplify]: Simplify (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) into (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) 22.154 * [backup-simplify]: Simplify (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) into (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) 22.154 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 (cos (/ 1 lambda1)))) into 0 22.154 * [backup-simplify]: Simplify (+ 0) into 0 22.155 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 1)) into 0 22.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 22.156 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 22.156 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 0)) into 0 22.156 * [backup-simplify]: Simplify (- 0) into 0 22.157 * [backup-simplify]: Simplify (+ 0 0) into 0 22.157 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 (cos (/ 1 lambda2)))) into 0 22.157 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1 lambda2)) 2) 0) (* 0 (pow (cos (/ 1 lambda1)) 2))) into 0 22.157 * [taylor]: Taking taylor expansion of 0 in lambda2 22.157 * [backup-simplify]: Simplify 0 into 0 22.157 * [backup-simplify]: Simplify 0 into 0 22.158 * [backup-simplify]: Simplify (+ 0) into 0 22.158 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 1)) into 0 22.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 22.159 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 22.160 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 0)) into 0 22.160 * [backup-simplify]: Simplify (- 0) into 0 22.160 * [backup-simplify]: Simplify (+ 0 0) into 0 22.160 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 (cos (/ 1 lambda1)))) into 0 22.161 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 (cos (/ 1 lambda2)))) into 0 22.161 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1 lambda2)) 2) 0) (* 0 (pow (cos (/ 1 lambda1)) 2))) into 0 22.161 * [backup-simplify]: Simplify 0 into 0 22.161 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (cos (/ 1 lambda1))))) into 0 22.162 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 22.163 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 22.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 22.164 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 22.165 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 22.165 * [backup-simplify]: Simplify (- 0) into 0 22.165 * [backup-simplify]: Simplify (+ 0 0) into 0 22.166 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (cos (/ 1 lambda2))))) into 0 22.166 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1 lambda2)) 2) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 lambda1)) 2)))) into 0 22.166 * [taylor]: Taking taylor expansion of 0 in lambda2 22.166 * [backup-simplify]: Simplify 0 into 0 22.166 * [backup-simplify]: Simplify 0 into 0 22.167 * [backup-simplify]: Simplify 0 into 0 22.167 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 22.168 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 22.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 22.169 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 22.170 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 22.170 * [backup-simplify]: Simplify (- 0) into 0 22.170 * [backup-simplify]: Simplify (+ 0 0) into 0 22.176 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (cos (/ 1 lambda1))))) into 0 22.177 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (cos (/ 1 lambda2))))) into 0 22.177 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1 lambda2)) 2) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 lambda1)) 2)))) into 0 22.177 * [backup-simplify]: Simplify 0 into 0 22.178 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 lambda1)))))) into 0 22.179 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 22.180 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 22.182 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 22.183 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 22.183 * [backup-simplify]: Simplify (- 0) into 0 22.183 * [backup-simplify]: Simplify (+ 0 0) into 0 22.184 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 lambda2)))))) into 0 22.185 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1 lambda2)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 lambda1)) 2))))) into 0 22.185 * [taylor]: Taking taylor expansion of 0 in lambda2 22.185 * [backup-simplify]: Simplify 0 into 0 22.185 * [backup-simplify]: Simplify 0 into 0 22.186 * [backup-simplify]: Simplify (* (pow (cos (/ 1 (/ 1 lambda2))) 2) (pow (cos (/ 1 (/ 1 lambda1))) 2)) into (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)) 22.186 * [backup-simplify]: Simplify (* (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) into (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) 22.186 * [approximate]: Taking taylor expansion of (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) in (lambda1 lambda2) around 0 22.186 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) in lambda2 22.186 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 lambda1)) 2) in lambda2 22.186 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2 22.186 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 22.186 * [taylor]: Taking taylor expansion of -1 in lambda2 22.186 * [backup-simplify]: Simplify -1 into -1 22.186 * [taylor]: Taking taylor expansion of lambda1 in lambda2 22.186 * [backup-simplify]: Simplify lambda1 into lambda1 22.186 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 22.186 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 22.186 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 22.187 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 1) into (cos (/ -1 lambda1)) 22.187 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 0) into 0 22.187 * [backup-simplify]: Simplify (- 0) into 0 22.187 * [backup-simplify]: Simplify (+ (cos (/ -1 lambda1)) 0) into (cos (/ -1 lambda1)) 22.187 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 lambda2)) 2) in lambda2 22.187 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2 22.187 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 22.187 * [taylor]: Taking taylor expansion of -1 in lambda2 22.187 * [backup-simplify]: Simplify -1 into -1 22.187 * [taylor]: Taking taylor expansion of lambda2 in lambda2 22.187 * [backup-simplify]: Simplify 0 into 0 22.187 * [backup-simplify]: Simplify 1 into 1 22.188 * [backup-simplify]: Simplify (/ -1 1) into -1 22.188 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 22.188 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) in lambda1 22.188 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 lambda1)) 2) in lambda1 22.188 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 22.188 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 22.188 * [taylor]: Taking taylor expansion of -1 in lambda1 22.188 * [backup-simplify]: Simplify -1 into -1 22.188 * [taylor]: Taking taylor expansion of lambda1 in lambda1 22.188 * [backup-simplify]: Simplify 0 into 0 22.188 * [backup-simplify]: Simplify 1 into 1 22.189 * [backup-simplify]: Simplify (/ -1 1) into -1 22.189 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 22.189 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 lambda2)) 2) in lambda1 22.189 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 22.189 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 22.189 * [taylor]: Taking taylor expansion of -1 in lambda1 22.189 * [backup-simplify]: Simplify -1 into -1 22.189 * [taylor]: Taking taylor expansion of lambda2 in lambda1 22.189 * [backup-simplify]: Simplify lambda2 into lambda2 22.189 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 22.189 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 22.189 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 22.189 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 1) into (cos (/ -1 lambda2)) 22.189 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 0) into 0 22.190 * [backup-simplify]: Simplify (- 0) into 0 22.190 * [backup-simplify]: Simplify (+ (cos (/ -1 lambda2)) 0) into (cos (/ -1 lambda2)) 22.190 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) in lambda1 22.190 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 lambda1)) 2) in lambda1 22.190 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 22.190 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 22.190 * [taylor]: Taking taylor expansion of -1 in lambda1 22.190 * [backup-simplify]: Simplify -1 into -1 22.190 * [taylor]: Taking taylor expansion of lambda1 in lambda1 22.190 * [backup-simplify]: Simplify 0 into 0 22.190 * [backup-simplify]: Simplify 1 into 1 22.190 * [backup-simplify]: Simplify (/ -1 1) into -1 22.190 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 22.190 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 lambda2)) 2) in lambda1 22.191 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 22.191 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 22.191 * [taylor]: Taking taylor expansion of -1 in lambda1 22.191 * [backup-simplify]: Simplify -1 into -1 22.191 * [taylor]: Taking taylor expansion of lambda2 in lambda1 22.191 * [backup-simplify]: Simplify lambda2 into lambda2 22.191 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 22.191 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 22.191 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 22.191 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 1) into (cos (/ -1 lambda2)) 22.191 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 0) into 0 22.191 * [backup-simplify]: Simplify (- 0) into 0 22.191 * [backup-simplify]: Simplify (+ (cos (/ -1 lambda2)) 0) into (cos (/ -1 lambda2)) 22.192 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) (cos (/ -1 lambda1))) into (pow (cos (/ -1 lambda1)) 2) 22.192 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) (cos (/ -1 lambda2))) into (pow (cos (/ -1 lambda2)) 2) 22.192 * [backup-simplify]: Simplify (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) into (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) 22.192 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) in lambda2 22.192 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 lambda1)) 2) in lambda2 22.192 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2 22.192 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 22.192 * [taylor]: Taking taylor expansion of -1 in lambda2 22.192 * [backup-simplify]: Simplify -1 into -1 22.192 * [taylor]: Taking taylor expansion of lambda1 in lambda2 22.192 * [backup-simplify]: Simplify lambda1 into lambda1 22.192 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 22.192 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 22.192 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 22.192 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 1) into (cos (/ -1 lambda1)) 22.193 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 0) into 0 22.193 * [backup-simplify]: Simplify (- 0) into 0 22.193 * [backup-simplify]: Simplify (+ (cos (/ -1 lambda1)) 0) into (cos (/ -1 lambda1)) 22.193 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 lambda2)) 2) in lambda2 22.193 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2 22.193 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 22.193 * [taylor]: Taking taylor expansion of -1 in lambda2 22.193 * [backup-simplify]: Simplify -1 into -1 22.193 * [taylor]: Taking taylor expansion of lambda2 in lambda2 22.193 * [backup-simplify]: Simplify 0 into 0 22.193 * [backup-simplify]: Simplify 1 into 1 22.194 * [backup-simplify]: Simplify (/ -1 1) into -1 22.194 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 22.194 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) (cos (/ -1 lambda1))) into (pow (cos (/ -1 lambda1)) 2) 22.194 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) (cos (/ -1 lambda2))) into (pow (cos (/ -1 lambda2)) 2) 22.194 * [backup-simplify]: Simplify (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) into (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) 22.194 * [backup-simplify]: Simplify (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) into (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) 22.195 * [backup-simplify]: Simplify (+ 0) into 0 22.196 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 1)) into 0 22.196 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 22.197 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 22.197 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 0)) into 0 22.197 * [backup-simplify]: Simplify (- 0) into 0 22.198 * [backup-simplify]: Simplify (+ 0 0) into 0 22.198 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 (cos (/ -1 lambda2)))) into 0 22.198 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 (cos (/ -1 lambda1)))) into 0 22.198 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1 lambda1)) 2) 0) (* 0 (pow (cos (/ -1 lambda2)) 2))) into 0 22.198 * [taylor]: Taking taylor expansion of 0 in lambda2 22.198 * [backup-simplify]: Simplify 0 into 0 22.198 * [backup-simplify]: Simplify 0 into 0 22.199 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 (cos (/ -1 lambda2)))) into 0 22.199 * [backup-simplify]: Simplify (+ 0) into 0 22.200 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 1)) into 0 22.200 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 22.201 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 22.201 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 0)) into 0 22.201 * [backup-simplify]: Simplify (- 0) into 0 22.202 * [backup-simplify]: Simplify (+ 0 0) into 0 22.202 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 (cos (/ -1 lambda1)))) into 0 22.202 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1 lambda1)) 2) 0) (* 0 (pow (cos (/ -1 lambda2)) 2))) into 0 22.202 * [backup-simplify]: Simplify 0 into 0 22.203 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 22.204 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 22.204 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 22.205 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 22.206 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 22.206 * [backup-simplify]: Simplify (- 0) into 0 22.206 * [backup-simplify]: Simplify (+ 0 0) into 0 22.207 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 (cos (/ -1 lambda2))))) into 0 22.208 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (cos (/ -1 lambda1))))) into 0 22.208 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1 lambda1)) 2) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 lambda2)) 2)))) into 0 22.208 * [taylor]: Taking taylor expansion of 0 in lambda2 22.208 * [backup-simplify]: Simplify 0 into 0 22.208 * [backup-simplify]: Simplify 0 into 0 22.208 * [backup-simplify]: Simplify 0 into 0 22.209 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 (cos (/ -1 lambda2))))) into 0 22.210 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 22.211 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 22.211 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 22.212 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 22.212 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 22.213 * [backup-simplify]: Simplify (- 0) into 0 22.213 * [backup-simplify]: Simplify (+ 0 0) into 0 22.213 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (cos (/ -1 lambda1))))) into 0 22.214 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1 lambda1)) 2) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 lambda2)) 2)))) into 0 22.214 * [backup-simplify]: Simplify 0 into 0 22.215 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 22.216 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.216 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 22.218 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 22.219 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 22.219 * [backup-simplify]: Simplify (- 0) into 0 22.219 * [backup-simplify]: Simplify (+ 0 0) into 0 22.220 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 lambda2)))))) into 0 22.221 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 lambda1)))))) into 0 22.222 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1 lambda1)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 lambda2)) 2))))) into 0 22.222 * [taylor]: Taking taylor expansion of 0 in lambda2 22.222 * [backup-simplify]: Simplify 0 into 0 22.222 * [backup-simplify]: Simplify 0 into 0 22.223 * [backup-simplify]: Simplify (* (pow (cos (/ -1 (/ 1 (- lambda1)))) 2) (pow (cos (/ -1 (/ 1 (- lambda2)))) 2)) into (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)) 22.223 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1 2 2) 22.223 * [backup-simplify]: Simplify (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) into (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) 22.223 * [approximate]: Taking taylor expansion of (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) in (lambda1 lambda2) around 0 22.223 * [taylor]: Taking taylor expansion of (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) in lambda2 22.223 * [taylor]: Taking taylor expansion of (pow (sin lambda1) 2) in lambda2 22.223 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 22.223 * [taylor]: Taking taylor expansion of lambda1 in lambda2 22.223 * [backup-simplify]: Simplify lambda1 into lambda1 22.223 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 22.223 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 22.223 * [backup-simplify]: Simplify (* (sin lambda1) 1) into (sin lambda1) 22.223 * [backup-simplify]: Simplify (* (cos lambda1) 0) into 0 22.223 * [backup-simplify]: Simplify (+ (sin lambda1) 0) into (sin lambda1) 22.223 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 2) in lambda2 22.223 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 22.223 * [taylor]: Taking taylor expansion of lambda2 in lambda2 22.223 * [backup-simplify]: Simplify 0 into 0 22.224 * [backup-simplify]: Simplify 1 into 1 22.224 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 22.224 * [taylor]: Taking taylor expansion of (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) in lambda1 22.224 * [taylor]: Taking taylor expansion of (pow (sin lambda1) 2) in lambda1 22.224 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 22.224 * [taylor]: Taking taylor expansion of lambda1 in lambda1 22.224 * [backup-simplify]: Simplify 0 into 0 22.225 * [backup-simplify]: Simplify 1 into 1 22.225 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 22.225 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 2) in lambda1 22.225 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 22.225 * [taylor]: Taking taylor expansion of lambda2 in lambda1 22.225 * [backup-simplify]: Simplify lambda2 into lambda2 22.225 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 22.225 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 22.226 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 22.226 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 22.226 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 22.226 * [taylor]: Taking taylor expansion of (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) in lambda1 22.226 * [taylor]: Taking taylor expansion of (pow (sin lambda1) 2) in lambda1 22.226 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 22.226 * [taylor]: Taking taylor expansion of lambda1 in lambda1 22.226 * [backup-simplify]: Simplify 0 into 0 22.226 * [backup-simplify]: Simplify 1 into 1 22.227 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 22.227 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 2) in lambda1 22.227 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 22.227 * [taylor]: Taking taylor expansion of lambda2 in lambda1 22.227 * [backup-simplify]: Simplify lambda2 into lambda2 22.227 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 22.227 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 22.227 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 22.227 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 22.227 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 22.227 * [backup-simplify]: Simplify (* 1 1) into 1 22.228 * [backup-simplify]: Simplify (* (sin lambda2) (sin lambda2)) into (pow (sin lambda2) 2) 22.228 * [backup-simplify]: Simplify (* 1 (pow (sin lambda2) 2)) into (pow (sin lambda2) 2) 22.228 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 2) in lambda2 22.228 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 22.228 * [taylor]: Taking taylor expansion of lambda2 in lambda2 22.228 * [backup-simplify]: Simplify 0 into 0 22.228 * [backup-simplify]: Simplify 1 into 1 22.229 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 22.229 * [backup-simplify]: Simplify (* 1 1) into 1 22.229 * [backup-simplify]: Simplify 1 into 1 22.229 * [backup-simplify]: Simplify (+ 0) into 0 22.230 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 22.231 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 22.231 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 22.232 * [backup-simplify]: Simplify (+ 0 0) into 0 22.232 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 (sin lambda2))) into 0 22.232 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 22.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sin lambda2) 2))) into 0 22.234 * [taylor]: Taking taylor expansion of 0 in lambda2 22.234 * [backup-simplify]: Simplify 0 into 0 22.234 * [backup-simplify]: Simplify 0 into 0 22.235 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 22.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.236 * [backup-simplify]: Simplify 0 into 0 22.237 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 22.238 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 22.239 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 22.239 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 22.240 * [backup-simplify]: Simplify (+ 0 0) into 0 22.240 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 (sin lambda2)))) into 0 22.242 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 22.243 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 22.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/3 (pow (sin lambda2) 2)))) into (- (* 1/3 (pow (sin lambda2) 2))) 22.244 * [taylor]: Taking taylor expansion of (- (* 1/3 (pow (sin lambda2) 2))) in lambda2 22.244 * [taylor]: Taking taylor expansion of (* 1/3 (pow (sin lambda2) 2)) in lambda2 22.244 * [taylor]: Taking taylor expansion of 1/3 in lambda2 22.244 * [backup-simplify]: Simplify 1/3 into 1/3 22.244 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 2) in lambda2 22.244 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 22.244 * [taylor]: Taking taylor expansion of lambda2 in lambda2 22.244 * [backup-simplify]: Simplify 0 into 0 22.244 * [backup-simplify]: Simplify 1 into 1 22.245 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 22.246 * [backup-simplify]: Simplify (* 1 1) into 1 22.246 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 22.246 * [backup-simplify]: Simplify (- 1/3) into -1/3 22.246 * [backup-simplify]: Simplify -1/3 into -1/3 22.246 * [backup-simplify]: Simplify 0 into 0 22.248 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 22.249 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 22.249 * [backup-simplify]: Simplify -1/3 into -1/3 22.251 * [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))))) 22.251 * [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)) 22.251 * [approximate]: Taking taylor expansion of (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2)) in (lambda1 lambda2) around 0 22.251 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2)) in lambda2 22.251 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 2) in lambda2 22.251 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 22.251 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 22.251 * [taylor]: Taking taylor expansion of lambda2 in lambda2 22.251 * [backup-simplify]: Simplify 0 into 0 22.251 * [backup-simplify]: Simplify 1 into 1 22.252 * [backup-simplify]: Simplify (/ 1 1) into 1 22.252 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 22.252 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda1)) 2) in lambda2 22.252 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 22.252 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 22.252 * [taylor]: Taking taylor expansion of lambda1 in lambda2 22.252 * [backup-simplify]: Simplify lambda1 into lambda1 22.252 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 22.252 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 22.252 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 22.252 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 22.252 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 22.252 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 22.252 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2)) in lambda1 22.252 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 2) in lambda1 22.252 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 22.253 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 22.253 * [taylor]: Taking taylor expansion of lambda2 in lambda1 22.253 * [backup-simplify]: Simplify lambda2 into lambda2 22.253 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 22.253 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 22.253 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 22.253 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 22.253 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 22.253 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 22.253 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda1)) 2) in lambda1 22.253 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 22.253 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 22.253 * [taylor]: Taking taylor expansion of lambda1 in lambda1 22.253 * [backup-simplify]: Simplify 0 into 0 22.253 * [backup-simplify]: Simplify 1 into 1 22.254 * [backup-simplify]: Simplify (/ 1 1) into 1 22.254 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 22.254 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2)) in lambda1 22.254 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 2) in lambda1 22.254 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 22.254 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 22.254 * [taylor]: Taking taylor expansion of lambda2 in lambda1 22.254 * [backup-simplify]: Simplify lambda2 into lambda2 22.254 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 22.254 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 22.254 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 22.254 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 22.254 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 22.254 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 22.254 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda1)) 2) in lambda1 22.254 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 22.254 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 22.254 * [taylor]: Taking taylor expansion of lambda1 in lambda1 22.255 * [backup-simplify]: Simplify 0 into 0 22.255 * [backup-simplify]: Simplify 1 into 1 22.255 * [backup-simplify]: Simplify (/ 1 1) into 1 22.255 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 22.255 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda2))) into (pow (sin (/ 1 lambda2)) 2) 22.255 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda1))) into (pow (sin (/ 1 lambda1)) 2) 22.256 * [backup-simplify]: Simplify (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2)) into (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2)) 22.256 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2)) in lambda2 22.256 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 2) in lambda2 22.256 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 22.256 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 22.256 * [taylor]: Taking taylor expansion of lambda2 in lambda2 22.256 * [backup-simplify]: Simplify 0 into 0 22.256 * [backup-simplify]: Simplify 1 into 1 22.256 * [backup-simplify]: Simplify (/ 1 1) into 1 22.256 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 22.256 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda1)) 2) in lambda2 22.256 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 22.256 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 22.256 * [taylor]: Taking taylor expansion of lambda1 in lambda2 22.256 * [backup-simplify]: Simplify lambda1 into lambda1 22.257 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 22.257 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 22.257 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 22.257 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 22.257 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 22.257 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 22.257 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda2))) into (pow (sin (/ 1 lambda2)) 2) 22.257 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda1))) into (pow (sin (/ 1 lambda1)) 2) 22.257 * [backup-simplify]: Simplify (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2)) into (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2)) 22.258 * [backup-simplify]: Simplify (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2)) into (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2)) 22.258 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 22.258 * [backup-simplify]: Simplify (+ 0) into 0 22.259 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 22.259 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 22.260 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 22.260 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 22.261 * [backup-simplify]: Simplify (+ 0 0) into 0 22.261 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda2)))) into 0 22.261 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 lambda2)) 2) 0) (* 0 (pow (sin (/ 1 lambda1)) 2))) into 0 22.261 * [taylor]: Taking taylor expansion of 0 in lambda2 22.261 * [backup-simplify]: Simplify 0 into 0 22.261 * [backup-simplify]: Simplify 0 into 0 22.262 * [backup-simplify]: Simplify (+ 0) into 0 22.262 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 22.263 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 22.263 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 22.264 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 22.264 * [backup-simplify]: Simplify (+ 0 0) into 0 22.264 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 22.265 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda2)))) into 0 22.265 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 lambda2)) 2) 0) (* 0 (pow (sin (/ 1 lambda1)) 2))) into 0 22.265 * [backup-simplify]: Simplify 0 into 0 22.265 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 22.266 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 22.267 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 22.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 22.268 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 22.269 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 22.269 * [backup-simplify]: Simplify (+ 0 0) into 0 22.270 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) into 0 22.270 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 lambda2)) 2) 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 lambda1)) 2)))) into 0 22.270 * [taylor]: Taking taylor expansion of 0 in lambda2 22.270 * [backup-simplify]: Simplify 0 into 0 22.270 * [backup-simplify]: Simplify 0 into 0 22.270 * [backup-simplify]: Simplify 0 into 0 22.271 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 22.272 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 22.272 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 22.273 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 22.274 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 22.274 * [backup-simplify]: Simplify (+ 0 0) into 0 22.275 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 22.275 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) into 0 22.276 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 lambda2)) 2) 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 lambda1)) 2)))) into 0 22.276 * [backup-simplify]: Simplify 0 into 0 22.277 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0 22.278 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 22.279 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 22.281 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 22.281 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 22.282 * [backup-simplify]: Simplify (+ 0 0) into 0 22.283 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2)))))) into 0 22.283 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 lambda2)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 lambda1)) 2))))) into 0 22.284 * [taylor]: Taking taylor expansion of 0 in lambda2 22.284 * [backup-simplify]: Simplify 0 into 0 22.284 * [backup-simplify]: Simplify 0 into 0 22.284 * [backup-simplify]: Simplify (* (pow (sin (/ 1 (/ 1 lambda2))) 2) (pow (sin (/ 1 (/ 1 lambda1))) 2)) into (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) 22.284 * [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)) 22.285 * [approximate]: Taking taylor expansion of (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)) in (lambda1 lambda2) around 0 22.285 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)) in lambda2 22.285 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda1)) 2) in lambda2 22.285 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 22.285 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 22.285 * [taylor]: Taking taylor expansion of -1 in lambda2 22.285 * [backup-simplify]: Simplify -1 into -1 22.285 * [taylor]: Taking taylor expansion of lambda1 in lambda2 22.285 * [backup-simplify]: Simplify lambda1 into lambda1 22.285 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 22.285 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 22.285 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 22.285 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 22.285 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 22.285 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 22.285 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 2) in lambda2 22.285 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 22.285 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 22.285 * [taylor]: Taking taylor expansion of -1 in lambda2 22.285 * [backup-simplify]: Simplify -1 into -1 22.285 * [taylor]: Taking taylor expansion of lambda2 in lambda2 22.285 * [backup-simplify]: Simplify 0 into 0 22.285 * [backup-simplify]: Simplify 1 into 1 22.286 * [backup-simplify]: Simplify (/ -1 1) into -1 22.286 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 22.286 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)) in lambda1 22.286 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda1)) 2) in lambda1 22.286 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 22.286 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 22.286 * [taylor]: Taking taylor expansion of -1 in lambda1 22.286 * [backup-simplify]: Simplify -1 into -1 22.286 * [taylor]: Taking taylor expansion of lambda1 in lambda1 22.286 * [backup-simplify]: Simplify 0 into 0 22.286 * [backup-simplify]: Simplify 1 into 1 22.287 * [backup-simplify]: Simplify (/ -1 1) into -1 22.287 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 22.287 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 2) in lambda1 22.287 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 22.287 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 22.287 * [taylor]: Taking taylor expansion of -1 in lambda1 22.287 * [backup-simplify]: Simplify -1 into -1 22.287 * [taylor]: Taking taylor expansion of lambda2 in lambda1 22.287 * [backup-simplify]: Simplify lambda2 into lambda2 22.287 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 22.287 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 22.287 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 22.287 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 22.287 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 22.288 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 22.288 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)) in lambda1 22.288 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda1)) 2) in lambda1 22.288 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 22.288 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 22.288 * [taylor]: Taking taylor expansion of -1 in lambda1 22.288 * [backup-simplify]: Simplify -1 into -1 22.288 * [taylor]: Taking taylor expansion of lambda1 in lambda1 22.288 * [backup-simplify]: Simplify 0 into 0 22.288 * [backup-simplify]: Simplify 1 into 1 22.288 * [backup-simplify]: Simplify (/ -1 1) into -1 22.288 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 22.288 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 2) in lambda1 22.289 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 22.289 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 22.289 * [taylor]: Taking taylor expansion of -1 in lambda1 22.289 * [backup-simplify]: Simplify -1 into -1 22.289 * [taylor]: Taking taylor expansion of lambda2 in lambda1 22.289 * [backup-simplify]: Simplify lambda2 into lambda2 22.289 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 22.289 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 22.289 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 22.289 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 22.289 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 22.289 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 22.289 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda1))) into (pow (sin (/ -1 lambda1)) 2) 22.289 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) (sin (/ -1 lambda2))) into (pow (sin (/ -1 lambda2)) 2) 22.290 * [backup-simplify]: Simplify (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)) into (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)) 22.290 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)) in lambda2 22.290 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda1)) 2) in lambda2 22.290 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 22.290 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 22.290 * [taylor]: Taking taylor expansion of -1 in lambda2 22.290 * [backup-simplify]: Simplify -1 into -1 22.290 * [taylor]: Taking taylor expansion of lambda1 in lambda2 22.290 * [backup-simplify]: Simplify lambda1 into lambda1 22.290 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 22.290 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 22.290 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 22.290 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 22.290 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 22.290 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 22.290 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 2) in lambda2 22.291 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 22.291 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 22.291 * [taylor]: Taking taylor expansion of -1 in lambda2 22.291 * [backup-simplify]: Simplify -1 into -1 22.291 * [taylor]: Taking taylor expansion of lambda2 in lambda2 22.291 * [backup-simplify]: Simplify 0 into 0 22.291 * [backup-simplify]: Simplify 1 into 1 22.291 * [backup-simplify]: Simplify (/ -1 1) into -1 22.291 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 22.291 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda1))) into (pow (sin (/ -1 lambda1)) 2) 22.292 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) (sin (/ -1 lambda2))) into (pow (sin (/ -1 lambda2)) 2) 22.292 * [backup-simplify]: Simplify (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)) into (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)) 22.292 * [backup-simplify]: Simplify (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)) into (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)) 22.293 * [backup-simplify]: Simplify (+ 0) into 0 22.293 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 22.293 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 22.294 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 22.295 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 22.295 * [backup-simplify]: Simplify (+ 0 0) into 0 22.295 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 22.295 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda1)))) into 0 22.295 * [backup-simplify]: Simplify (+ (* (pow (sin (/ -1 lambda1)) 2) 0) (* 0 (pow (sin (/ -1 lambda2)) 2))) into 0 22.296 * [taylor]: Taking taylor expansion of 0 in lambda2 22.296 * [backup-simplify]: Simplify 0 into 0 22.296 * [backup-simplify]: Simplify 0 into 0 22.296 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 22.296 * [backup-simplify]: Simplify (+ 0) into 0 22.297 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 22.297 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 22.298 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 22.298 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 22.299 * [backup-simplify]: Simplify (+ 0 0) into 0 22.299 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda1)))) into 0 22.299 * [backup-simplify]: Simplify (+ (* (pow (sin (/ -1 lambda1)) 2) 0) (* 0 (pow (sin (/ -1 lambda2)) 2))) into 0 22.299 * [backup-simplify]: Simplify 0 into 0 22.300 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 22.301 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 22.301 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 22.302 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 22.302 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 22.303 * [backup-simplify]: Simplify (+ 0 0) into 0 22.303 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 22.304 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda1))))) into 0 22.304 * [backup-simplify]: Simplify (+ (* (pow (sin (/ -1 lambda1)) 2) 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 lambda2)) 2)))) into 0 22.304 * [taylor]: Taking taylor expansion of 0 in lambda2 22.305 * [backup-simplify]: Simplify 0 into 0 22.305 * [backup-simplify]: Simplify 0 into 0 22.305 * [backup-simplify]: Simplify 0 into 0 22.305 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 22.306 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 22.307 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 22.307 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 22.308 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 22.309 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 22.309 * [backup-simplify]: Simplify (+ 0 0) into 0 22.310 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda1))))) into 0 22.310 * [backup-simplify]: Simplify (+ (* (pow (sin (/ -1 lambda1)) 2) 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 lambda2)) 2)))) into 0 22.310 * [backup-simplify]: Simplify 0 into 0 22.311 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 22.312 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.312 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 22.314 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 22.315 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 22.315 * [backup-simplify]: Simplify (+ 0 0) into 0 22.316 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 22.317 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda1)))))) into 0 22.318 * [backup-simplify]: Simplify (+ (* (pow (sin (/ -1 lambda1)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 lambda2)) 2))))) into 0 22.318 * [taylor]: Taking taylor expansion of 0 in lambda2 22.318 * [backup-simplify]: Simplify 0 into 0 22.318 * [backup-simplify]: Simplify 0 into 0 22.318 * [backup-simplify]: Simplify (* (pow (sin (/ -1 (/ 1 (- lambda1)))) 2) (pow (sin (/ -1 (/ 1 (- lambda2)))) 2)) into (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) 22.318 * * * * [progress]: [ 4 / 4 ] generating series at (2) 22.320 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 22.320 * [approximate]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 22.320 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) in R 22.320 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) in R 22.322 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 22.322 * [taylor]: Taking taylor expansion of R in R 22.322 * [backup-simplify]: Simplify 0 into 0 22.322 * [backup-simplify]: Simplify 1 into 1 22.322 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) in lambda2 22.322 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) in lambda2 22.323 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 22.323 * [taylor]: Taking taylor expansion of R in lambda2 22.323 * [backup-simplify]: Simplify R into R 22.323 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) in lambda1 22.324 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) in lambda1 22.324 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 22.325 * [taylor]: Taking taylor expansion of R in lambda1 22.325 * [backup-simplify]: Simplify R into R 22.325 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) in phi2 22.325 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) in phi2 22.325 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 22.325 * [taylor]: Taking taylor expansion of R in phi2 22.325 * [backup-simplify]: Simplify R into R 22.325 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) in phi1 22.325 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) in phi1 22.326 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 22.326 * [taylor]: Taking taylor expansion of R in phi1 22.326 * [backup-simplify]: Simplify R into R 22.326 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) in phi1 22.326 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) in phi1 22.327 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 22.327 * [taylor]: Taking taylor expansion of R in phi1 22.327 * [backup-simplify]: Simplify R into R 22.328 * [backup-simplify]: Simplify (* (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 22.328 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) in phi2 22.328 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) in phi2 22.329 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 22.329 * [taylor]: Taking taylor expansion of R in phi2 22.329 * [backup-simplify]: Simplify R into R 22.330 * [backup-simplify]: Simplify (* (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 22.330 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) in lambda1 22.330 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) in lambda1 22.330 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 22.330 * [taylor]: Taking taylor expansion of R in lambda1 22.331 * [backup-simplify]: Simplify R into R 22.331 * [backup-simplify]: Simplify (* (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 22.331 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) in lambda2 22.331 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) in lambda2 22.332 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 22.332 * [taylor]: Taking taylor expansion of R in lambda2 22.332 * [backup-simplify]: Simplify R into R 22.333 * [backup-simplify]: Simplify (* (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 22.333 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) in R 22.333 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) in R 22.338 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 22.338 * [taylor]: Taking taylor expansion of R in R 22.338 * [backup-simplify]: Simplify 0 into 0 22.338 * [backup-simplify]: Simplify 1 into 1 22.339 * [backup-simplify]: Simplify (* (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 0) into 0 22.339 * [backup-simplify]: Simplify 0 into 0 22.340 * [backup-simplify]: Simplify (+ (* (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 0) (* 0 R)) into 0 22.340 * [taylor]: Taking taylor expansion of 0 in phi2 22.340 * [backup-simplify]: Simplify 0 into 0 22.340 * [taylor]: Taking taylor expansion of 0 in lambda1 22.340 * [backup-simplify]: Simplify 0 into 0 22.340 * [taylor]: Taking taylor expansion of 0 in lambda2 22.340 * [backup-simplify]: Simplify 0 into 0 22.340 * [taylor]: Taking taylor expansion of 0 in R 22.340 * [backup-simplify]: Simplify 0 into 0 22.340 * [backup-simplify]: Simplify 0 into 0 22.341 * [backup-simplify]: Simplify (+ (* (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 0) (* 0 R)) into 0 22.341 * [taylor]: Taking taylor expansion of 0 in lambda1 22.341 * [backup-simplify]: Simplify 0 into 0 22.341 * [taylor]: Taking taylor expansion of 0 in lambda2 22.341 * [backup-simplify]: Simplify 0 into 0 22.341 * [taylor]: Taking taylor expansion of 0 in R 22.341 * [backup-simplify]: Simplify 0 into 0 22.341 * [backup-simplify]: Simplify 0 into 0 22.342 * [backup-simplify]: Simplify (+ (* (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 0) (* 0 R)) into 0 22.342 * [taylor]: Taking taylor expansion of 0 in lambda2 22.342 * [backup-simplify]: Simplify 0 into 0 22.342 * [taylor]: Taking taylor expansion of 0 in R 22.342 * [backup-simplify]: Simplify 0 into 0 22.342 * [backup-simplify]: Simplify 0 into 0 22.343 * [backup-simplify]: Simplify (+ (* (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 0) (* 0 R)) into 0 22.343 * [taylor]: Taking taylor expansion of 0 in R 22.343 * [backup-simplify]: Simplify 0 into 0 22.343 * [backup-simplify]: Simplify 0 into 0 22.345 * [backup-simplify]: Simplify (+ (* (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1) (* 0 0)) into (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 22.345 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 22.347 * [backup-simplify]: Simplify (+ (* (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 0) (+ (* 0 0) (* 0 R))) into 0 22.347 * [taylor]: Taking taylor expansion of 0 in phi2 22.347 * [backup-simplify]: Simplify 0 into 0 22.347 * [taylor]: Taking taylor expansion of 0 in lambda1 22.347 * [backup-simplify]: Simplify 0 into 0 22.347 * [taylor]: Taking taylor expansion of 0 in lambda2 22.347 * [backup-simplify]: Simplify 0 into 0 22.347 * [taylor]: Taking taylor expansion of 0 in R 22.347 * [backup-simplify]: Simplify 0 into 0 22.347 * [backup-simplify]: Simplify 0 into 0 22.347 * [taylor]: Taking taylor expansion of 0 in lambda1 22.347 * [backup-simplify]: Simplify 0 into 0 22.347 * [taylor]: Taking taylor expansion of 0 in lambda2 22.347 * [backup-simplify]: Simplify 0 into 0 22.347 * [taylor]: Taking taylor expansion of 0 in R 22.347 * [backup-simplify]: Simplify 0 into 0 22.347 * [backup-simplify]: Simplify 0 into 0 22.348 * [backup-simplify]: Simplify (+ (* (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 0) (+ (* 0 0) (* 0 R))) into 0 22.348 * [taylor]: Taking taylor expansion of 0 in lambda1 22.348 * [backup-simplify]: Simplify 0 into 0 22.348 * [taylor]: Taking taylor expansion of 0 in lambda2 22.348 * [backup-simplify]: Simplify 0 into 0 22.348 * [taylor]: Taking taylor expansion of 0 in R 22.348 * [backup-simplify]: Simplify 0 into 0 22.348 * [backup-simplify]: Simplify 0 into 0 22.348 * [taylor]: Taking taylor expansion of 0 in lambda2 22.348 * [backup-simplify]: Simplify 0 into 0 22.348 * [taylor]: Taking taylor expansion of 0 in R 22.348 * [backup-simplify]: Simplify 0 into 0 22.348 * [backup-simplify]: Simplify 0 into 0 22.349 * [taylor]: Taking taylor expansion of 0 in lambda2 22.349 * [backup-simplify]: Simplify 0 into 0 22.349 * [taylor]: Taking taylor expansion of 0 in R 22.349 * [backup-simplify]: Simplify 0 into 0 22.349 * [backup-simplify]: Simplify 0 into 0 22.350 * [backup-simplify]: Simplify (+ (* (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 0) (+ (* 0 0) (* 0 R))) into 0 22.350 * [taylor]: Taking taylor expansion of 0 in lambda2 22.350 * [backup-simplify]: Simplify 0 into 0 22.350 * [taylor]: Taking taylor expansion of 0 in R 22.350 * [backup-simplify]: Simplify 0 into 0 22.350 * [backup-simplify]: Simplify 0 into 0 22.351 * [backup-simplify]: Simplify (* (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* R (* 1 (* 1 (* 1 1))))) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 22.352 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (/ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) (/ 1 R)) into (/ (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) R) 22.352 * [approximate]: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 22.352 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) R) in R 22.352 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) in R 22.354 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) 22.354 * [taylor]: Taking taylor expansion of R in R 22.354 * [backup-simplify]: Simplify 0 into 0 22.354 * [backup-simplify]: Simplify 1 into 1 22.356 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) 1) into (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) 22.356 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) R) in lambda2 22.357 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) in lambda2 22.359 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) 22.359 * [taylor]: Taking taylor expansion of R in lambda2 22.359 * [backup-simplify]: Simplify R into R 22.361 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) R) into (/ (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) R) 22.361 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) R) in lambda1 22.361 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) in lambda1 22.363 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) 22.363 * [taylor]: Taking taylor expansion of R in lambda1 22.363 * [backup-simplify]: Simplify R into R 22.365 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) R) into (/ (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) R) 22.365 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) R) in phi2 22.365 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) in phi2 22.367 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) 22.367 * [taylor]: Taking taylor expansion of R in phi2 22.367 * [backup-simplify]: Simplify R into R 22.370 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) R) into (/ (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) R) 22.370 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) R) in phi1 22.370 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) in phi1 22.372 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) 22.372 * [taylor]: Taking taylor expansion of R in phi1 22.372 * [backup-simplify]: Simplify R into R 22.374 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) R) into (/ (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) R) 22.374 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) R) in phi1 22.374 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) in phi1 22.376 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) 22.376 * [taylor]: Taking taylor expansion of R in phi1 22.376 * [backup-simplify]: Simplify R into R 22.378 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) R) into (/ (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) R) 22.378 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) R) in phi2 22.378 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) in phi2 22.380 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) 22.380 * [taylor]: Taking taylor expansion of R in phi2 22.380 * [backup-simplify]: Simplify R into R 22.382 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) R) into (/ (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) R) 22.382 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) R) in lambda1 22.382 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) in lambda1 22.384 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) 22.384 * [taylor]: Taking taylor expansion of R in lambda1 22.384 * [backup-simplify]: Simplify R into R 22.386 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) R) into (/ (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) R) 22.386 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) R) in lambda2 22.386 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) in lambda2 22.388 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) 22.388 * [taylor]: Taking taylor expansion of R in lambda2 22.388 * [backup-simplify]: Simplify R into R 22.390 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) R) into (/ (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) R) 22.390 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) R) in R 22.390 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) in R 22.392 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) 22.393 * [taylor]: Taking taylor expansion of R in R 22.393 * [backup-simplify]: Simplify 0 into 0 22.393 * [backup-simplify]: Simplify 1 into 1 22.395 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) 1) into (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) 22.397 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) 22.399 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) R) (/ 0 R)))) into 0 22.399 * [taylor]: Taking taylor expansion of 0 in phi2 22.399 * [backup-simplify]: Simplify 0 into 0 22.399 * [taylor]: Taking taylor expansion of 0 in lambda1 22.399 * [backup-simplify]: Simplify 0 into 0 22.399 * [taylor]: Taking taylor expansion of 0 in lambda2 22.399 * [backup-simplify]: Simplify 0 into 0 22.399 * [taylor]: Taking taylor expansion of 0 in R 22.399 * [backup-simplify]: Simplify 0 into 0 22.402 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) R) (/ 0 R)))) into 0 22.402 * [taylor]: Taking taylor expansion of 0 in lambda1 22.402 * [backup-simplify]: Simplify 0 into 0 22.402 * [taylor]: Taking taylor expansion of 0 in lambda2 22.402 * [backup-simplify]: Simplify 0 into 0 22.402 * [taylor]: Taking taylor expansion of 0 in R 22.402 * [backup-simplify]: Simplify 0 into 0 22.404 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) R) (/ 0 R)))) into 0 22.404 * [taylor]: Taking taylor expansion of 0 in lambda2 22.404 * [backup-simplify]: Simplify 0 into 0 22.404 * [taylor]: Taking taylor expansion of 0 in R 22.404 * [backup-simplify]: Simplify 0 into 0 22.406 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) R) (/ 0 R)))) into 0 22.407 * [taylor]: Taking taylor expansion of 0 in R 22.407 * [backup-simplify]: Simplify 0 into 0 22.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) (/ 0 1)))) into 0 22.410 * [backup-simplify]: Simplify 0 into 0 22.412 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 22.413 * [taylor]: Taking taylor expansion of 0 in phi2 22.413 * [backup-simplify]: Simplify 0 into 0 22.413 * [taylor]: Taking taylor expansion of 0 in lambda1 22.413 * [backup-simplify]: Simplify 0 into 0 22.413 * [taylor]: Taking taylor expansion of 0 in lambda2 22.413 * [backup-simplify]: Simplify 0 into 0 22.413 * [taylor]: Taking taylor expansion of 0 in R 22.413 * [backup-simplify]: Simplify 0 into 0 22.413 * [taylor]: Taking taylor expansion of 0 in lambda1 22.413 * [backup-simplify]: Simplify 0 into 0 22.413 * [taylor]: Taking taylor expansion of 0 in lambda2 22.413 * [backup-simplify]: Simplify 0 into 0 22.413 * [taylor]: Taking taylor expansion of 0 in R 22.413 * [backup-simplify]: Simplify 0 into 0 22.415 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 22.415 * [taylor]: Taking taylor expansion of 0 in lambda1 22.415 * [backup-simplify]: Simplify 0 into 0 22.415 * [taylor]: Taking taylor expansion of 0 in lambda2 22.415 * [backup-simplify]: Simplify 0 into 0 22.415 * [taylor]: Taking taylor expansion of 0 in R 22.415 * [backup-simplify]: Simplify 0 into 0 22.415 * [taylor]: Taking taylor expansion of 0 in lambda2 22.415 * [backup-simplify]: Simplify 0 into 0 22.415 * [taylor]: Taking taylor expansion of 0 in R 22.415 * [backup-simplify]: Simplify 0 into 0 22.416 * [taylor]: Taking taylor expansion of 0 in lambda2 22.416 * [backup-simplify]: Simplify 0 into 0 22.416 * [taylor]: Taking taylor expansion of 0 in R 22.416 * [backup-simplify]: Simplify 0 into 0 22.418 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 22.418 * [taylor]: Taking taylor expansion of 0 in lambda2 22.418 * [backup-simplify]: Simplify 0 into 0 22.418 * [taylor]: Taking taylor expansion of 0 in R 22.418 * [backup-simplify]: Simplify 0 into 0 22.418 * [taylor]: Taking taylor expansion of 0 in R 22.418 * [backup-simplify]: Simplify 0 into 0 22.418 * [taylor]: Taking taylor expansion of 0 in R 22.418 * [backup-simplify]: Simplify 0 into 0 22.418 * [taylor]: Taking taylor expansion of 0 in R 22.418 * [backup-simplify]: Simplify 0 into 0 22.420 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 22.420 * [taylor]: Taking taylor expansion of 0 in R 22.420 * [backup-simplify]: Simplify 0 into 0 22.420 * [backup-simplify]: Simplify 0 into 0 22.421 * [backup-simplify]: Simplify 0 into 0 22.421 * [backup-simplify]: Simplify 0 into 0 22.421 * [backup-simplify]: Simplify 0 into 0 22.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (- (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (/ (* (cos (/ 1 phi2)) (* (pow (cos (/ 1 lambda2)) 2) (* (pow (cos (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 2) (* (pow (sin (/ 1 lambda1)) 2) (cos (/ 1 phi1))))) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.425 * [backup-simplify]: Simplify 0 into 0 22.428 * [backup-simplify]: Simplify (* (acos (- (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (/ (* (cos (/ 1 (/ 1 phi2))) (* (pow (cos (/ 1 (/ 1 lambda2))) 2) (* (pow (cos (/ 1 (/ 1 lambda1))) 2) (cos (/ 1 (/ 1 phi1)))))) (- (* (cos (/ 1 (/ 1 lambda2))) (cos (/ 1 (/ 1 lambda1)))) (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1))))))) (/ (* (cos (/ 1 (/ 1 phi2))) (* (pow (sin (/ 1 (/ 1 lambda2))) 2) (* (pow (sin (/ 1 (/ 1 lambda1))) 2) (cos (/ 1 (/ 1 phi1)))))) (- (* (cos (/ 1 (/ 1 lambda2))) (cos (/ 1 (/ 1 lambda1)))) (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R) 22.430 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (/ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) (/ 1 (- R))) into (* -1 (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R)) 22.430 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 22.430 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R)) in R 22.430 * [taylor]: Taking taylor expansion of -1 in R 22.430 * [backup-simplify]: Simplify -1 into -1 22.430 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R) in R 22.430 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) in R 22.432 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) into (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) 22.432 * [taylor]: Taking taylor expansion of R in R 22.432 * [backup-simplify]: Simplify 0 into 0 22.432 * [backup-simplify]: Simplify 1 into 1 22.434 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) 1) into (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) 22.434 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R)) in lambda2 22.434 * [taylor]: Taking taylor expansion of -1 in lambda2 22.434 * [backup-simplify]: Simplify -1 into -1 22.435 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R) in lambda2 22.435 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) in lambda2 22.437 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) into (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) 22.437 * [taylor]: Taking taylor expansion of R in lambda2 22.437 * [backup-simplify]: Simplify R into R 22.439 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R) into (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R) 22.439 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R)) in lambda1 22.439 * [taylor]: Taking taylor expansion of -1 in lambda1 22.439 * [backup-simplify]: Simplify -1 into -1 22.439 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R) in lambda1 22.439 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) in lambda1 22.441 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) into (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) 22.442 * [taylor]: Taking taylor expansion of R in lambda1 22.442 * [backup-simplify]: Simplify R into R 22.444 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R) into (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R) 22.444 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R)) in phi2 22.444 * [taylor]: Taking taylor expansion of -1 in phi2 22.444 * [backup-simplify]: Simplify -1 into -1 22.444 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R) in phi2 22.444 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) in phi2 22.446 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) into (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) 22.446 * [taylor]: Taking taylor expansion of R in phi2 22.446 * [backup-simplify]: Simplify R into R 22.448 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R) into (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R) 22.448 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R)) in phi1 22.448 * [taylor]: Taking taylor expansion of -1 in phi1 22.448 * [backup-simplify]: Simplify -1 into -1 22.448 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R) in phi1 22.448 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) in phi1 22.450 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) into (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) 22.450 * [taylor]: Taking taylor expansion of R in phi1 22.450 * [backup-simplify]: Simplify R into R 22.452 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R) into (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R) 22.453 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R)) in phi1 22.453 * [taylor]: Taking taylor expansion of -1 in phi1 22.453 * [backup-simplify]: Simplify -1 into -1 22.453 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R) in phi1 22.453 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) in phi1 22.454 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) into (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) 22.455 * [taylor]: Taking taylor expansion of R in phi1 22.455 * [backup-simplify]: Simplify R into R 22.456 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R) into (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R) 22.459 * [backup-simplify]: Simplify (* -1 (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R)) into (* -1 (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R)) 22.459 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R)) in phi2 22.459 * [taylor]: Taking taylor expansion of -1 in phi2 22.459 * [backup-simplify]: Simplify -1 into -1 22.459 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R) in phi2 22.459 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) in phi2 22.461 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) into (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) 22.461 * [taylor]: Taking taylor expansion of R in phi2 22.461 * [backup-simplify]: Simplify R into R 22.463 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R) into (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R) 22.465 * [backup-simplify]: Simplify (* -1 (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R)) into (* -1 (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R)) 22.465 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R)) in lambda1 22.465 * [taylor]: Taking taylor expansion of -1 in lambda1 22.465 * [backup-simplify]: Simplify -1 into -1 22.465 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R) in lambda1 22.465 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) in lambda1 22.469 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) into (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) 22.469 * [taylor]: Taking taylor expansion of R in lambda1 22.469 * [backup-simplify]: Simplify R into R 22.471 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R) into (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R) 22.473 * [backup-simplify]: Simplify (* -1 (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R)) into (* -1 (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R)) 22.473 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R)) in lambda2 22.473 * [taylor]: Taking taylor expansion of -1 in lambda2 22.473 * [backup-simplify]: Simplify -1 into -1 22.473 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R) in lambda2 22.473 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) in lambda2 22.474 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) into (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) 22.474 * [taylor]: Taking taylor expansion of R in lambda2 22.474 * [backup-simplify]: Simplify R into R 22.475 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R) into (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R) 22.476 * [backup-simplify]: Simplify (* -1 (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R)) into (* -1 (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R)) 22.476 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R)) in R 22.476 * [taylor]: Taking taylor expansion of -1 in R 22.476 * [backup-simplify]: Simplify -1 into -1 22.476 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R) in R 22.476 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) in R 22.477 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) into (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) 22.477 * [taylor]: Taking taylor expansion of R in R 22.477 * [backup-simplify]: Simplify 0 into 0 22.477 * [backup-simplify]: Simplify 1 into 1 22.478 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) 1) into (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) 22.479 * [backup-simplify]: Simplify (* -1 (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))))) into (* -1 (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))))) 22.480 * [backup-simplify]: Simplify (* -1 (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))))) into (* -1 (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))))) 22.482 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R) (/ 0 R)))) into 0 22.483 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R))) into 0 22.483 * [taylor]: Taking taylor expansion of 0 in phi2 22.483 * [backup-simplify]: Simplify 0 into 0 22.483 * [taylor]: Taking taylor expansion of 0 in lambda1 22.483 * [backup-simplify]: Simplify 0 into 0 22.483 * [taylor]: Taking taylor expansion of 0 in lambda2 22.484 * [backup-simplify]: Simplify 0 into 0 22.484 * [taylor]: Taking taylor expansion of 0 in R 22.484 * [backup-simplify]: Simplify 0 into 0 22.485 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R) (/ 0 R)))) into 0 22.486 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R))) into 0 22.486 * [taylor]: Taking taylor expansion of 0 in lambda1 22.486 * [backup-simplify]: Simplify 0 into 0 22.486 * [taylor]: Taking taylor expansion of 0 in lambda2 22.486 * [backup-simplify]: Simplify 0 into 0 22.486 * [taylor]: Taking taylor expansion of 0 in R 22.486 * [backup-simplify]: Simplify 0 into 0 22.487 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R) (/ 0 R)))) into 0 22.489 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R))) into 0 22.489 * [taylor]: Taking taylor expansion of 0 in lambda2 22.489 * [backup-simplify]: Simplify 0 into 0 22.489 * [taylor]: Taking taylor expansion of 0 in R 22.489 * [backup-simplify]: Simplify 0 into 0 22.490 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R) (/ 0 R)))) into 0 22.492 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R))) into 0 22.492 * [taylor]: Taking taylor expansion of 0 in R 22.492 * [backup-simplify]: Simplify 0 into 0 22.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) (/ 0 1)))) into 0 22.495 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))))) into 0 22.495 * [backup-simplify]: Simplify 0 into 0 22.496 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 22.498 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R)))) into 0 22.498 * [taylor]: Taking taylor expansion of 0 in phi2 22.498 * [backup-simplify]: Simplify 0 into 0 22.498 * [taylor]: Taking taylor expansion of 0 in lambda1 22.498 * [backup-simplify]: Simplify 0 into 0 22.498 * [taylor]: Taking taylor expansion of 0 in lambda2 22.498 * [backup-simplify]: Simplify 0 into 0 22.498 * [taylor]: Taking taylor expansion of 0 in R 22.498 * [backup-simplify]: Simplify 0 into 0 22.498 * [taylor]: Taking taylor expansion of 0 in lambda1 22.498 * [backup-simplify]: Simplify 0 into 0 22.498 * [taylor]: Taking taylor expansion of 0 in lambda2 22.498 * [backup-simplify]: Simplify 0 into 0 22.498 * [taylor]: Taking taylor expansion of 0 in R 22.498 * [backup-simplify]: Simplify 0 into 0 22.500 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 22.502 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R)))) into 0 22.503 * [taylor]: Taking taylor expansion of 0 in lambda1 22.503 * [backup-simplify]: Simplify 0 into 0 22.503 * [taylor]: Taking taylor expansion of 0 in lambda2 22.503 * [backup-simplify]: Simplify 0 into 0 22.503 * [taylor]: Taking taylor expansion of 0 in R 22.503 * [backup-simplify]: Simplify 0 into 0 22.503 * [taylor]: Taking taylor expansion of 0 in lambda2 22.503 * [backup-simplify]: Simplify 0 into 0 22.503 * [taylor]: Taking taylor expansion of 0 in R 22.503 * [backup-simplify]: Simplify 0 into 0 22.503 * [taylor]: Taking taylor expansion of 0 in lambda2 22.503 * [backup-simplify]: Simplify 0 into 0 22.503 * [taylor]: Taking taylor expansion of 0 in R 22.503 * [backup-simplify]: Simplify 0 into 0 22.505 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 22.509 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R)))) into 0 22.509 * [taylor]: Taking taylor expansion of 0 in lambda2 22.509 * [backup-simplify]: Simplify 0 into 0 22.509 * [taylor]: Taking taylor expansion of 0 in R 22.509 * [backup-simplify]: Simplify 0 into 0 22.509 * [taylor]: Taking taylor expansion of 0 in R 22.509 * [backup-simplify]: Simplify 0 into 0 22.509 * [taylor]: Taking taylor expansion of 0 in R 22.509 * [backup-simplify]: Simplify 0 into 0 22.509 * [taylor]: Taking taylor expansion of 0 in R 22.509 * [backup-simplify]: Simplify 0 into 0 22.511 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 22.515 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) R)))) into 0 22.515 * [taylor]: Taking taylor expansion of 0 in R 22.515 * [backup-simplify]: Simplify 0 into 0 22.515 * [backup-simplify]: Simplify 0 into 0 22.515 * [backup-simplify]: Simplify 0 into 0 22.515 * [backup-simplify]: Simplify 0 into 0 22.515 * [backup-simplify]: Simplify 0 into 0 22.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.519 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (- (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 2) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 2)))) (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))))))) into 0 22.519 * [backup-simplify]: Simplify 0 into 0 22.521 * [backup-simplify]: Simplify (* (* -1 (acos (- (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (/ (* (cos (/ -1 (/ 1 (- phi1)))) (* (pow (cos (/ -1 (/ 1 (- lambda1)))) 2) (* (cos (/ -1 (/ 1 (- phi2)))) (pow (cos (/ -1 (/ 1 (- lambda2)))) 2)))) (- (* (cos (/ -1 (/ 1 (- lambda1)))) (cos (/ -1 (/ 1 (- lambda2))))) (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2)))))))) (/ (* (cos (/ -1 (/ 1 (- phi1)))) (* (pow (sin (/ -1 (/ 1 (- lambda1)))) 2) (* (cos (/ -1 (/ 1 (- phi2)))) (pow (sin (/ -1 (/ 1 (- lambda2)))) 2)))) (- (* (cos (/ -1 (/ 1 (- lambda1)))) (cos (/ -1 (/ 1 (- lambda2))))) (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2)))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 22.521 * * * [progress]: simplifying candidates 22.521 * * * * [progress]: [ 1 / 116 ] simplifiying candidate # 22.521 * * * * [progress]: [ 2 / 116 ] simplifiying candidate # 22.521 * * * * [progress]: [ 3 / 116 ] simplifiying candidate # 22.521 * * * * [progress]: [ 4 / 116 ] simplifiying candidate # 22.521 * * * * [progress]: [ 5 / 116 ] simplifiying candidate # 22.521 * * * * [progress]: [ 6 / 116 ] simplifiying candidate # 22.521 * * * * [progress]: [ 7 / 116 ] simplifiying candidate # 22.521 * * * * [progress]: [ 8 / 116 ] simplifiying candidate # 22.521 * * * * [progress]: [ 9 / 116 ] simplifiying candidate #real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> 22.521 * * * * [progress]: [ 10 / 116 ] simplifiying candidate # 22.521 * * * * [progress]: [ 11 / 116 ] simplifiying candidate # 22.522 * * * * [progress]: [ 12 / 116 ] simplifiying candidate # 22.522 * * * * [progress]: [ 13 / 116 ] simplifiying candidate # 22.522 * * * * [progress]: [ 14 / 116 ] simplifiying candidate # 22.522 * * * * [progress]: [ 15 / 116 ] simplifiying candidate # 22.522 * * * * [progress]: [ 16 / 116 ] simplifiying candidate # 22.522 * * * * [progress]: [ 17 / 116 ] simplifiying candidate # 22.522 * * * * [progress]: [ 18 / 116 ] simplifiying candidate # 22.522 * * * * [progress]: [ 19 / 116 ] simplifiying candidate # 22.522 * * * * [progress]: [ 20 / 116 ] simplifiying candidate # 22.522 * * * * [progress]: [ 21 / 116 ] simplifiying candidate # 22.522 * * * * [progress]: [ 22 / 116 ] simplifiying candidate # 22.522 * * * * [progress]: [ 23 / 116 ] simplifiying candidate # 22.522 * * * * [progress]: [ 24 / 116 ] simplifiying candidate # 22.522 * * * * [progress]: [ 25 / 116 ] simplifiying candidate # 22.522 * * * * [progress]: [ 26 / 116 ] simplifiying candidate # 22.522 * * * * [progress]: [ 27 / 116 ] simplifiying candidate # 22.522 * * * * [progress]: [ 28 / 116 ] simplifiying candidate # 22.522 * * * * [progress]: [ 29 / 116 ] simplifiying candidate # 22.522 * * * * [progress]: [ 30 / 116 ] simplifiying candidate # 22.522 * * * * [progress]: [ 31 / 116 ] simplifiying candidate # 22.523 * * * * [progress]: [ 32 / 116 ] simplifiying candidate # 22.523 * * * * [progress]: [ 33 / 116 ] simplifiying candidate # 22.523 * * * * [progress]: [ 34 / 116 ] simplifiying candidate # 22.523 * * * * [progress]: [ 35 / 116 ] simplifiying candidate # 22.523 * * * * [progress]: [ 36 / 116 ] simplifiying candidate # 22.523 * * * * [progress]: [ 37 / 116 ] simplifiying candidate # 22.523 * * * * [progress]: [ 38 / 116 ] simplifiying candidate # 22.523 * * * * [progress]: [ 39 / 116 ] simplifiying candidate # 22.523 * * * * [progress]: [ 40 / 116 ] simplifiying candidate # 22.523 * * * * [progress]: [ 41 / 116 ] simplifiying candidate # 22.523 * * * * [progress]: [ 42 / 116 ] simplifiying candidate # 22.523 * * * * [progress]: [ 43 / 116 ] simplifiying candidate # 22.523 * * * * [progress]: [ 44 / 116 ] simplifiying candidate # 22.523 * * * * [progress]: [ 45 / 116 ] simplifiying candidate # 22.523 * * * * [progress]: [ 46 / 116 ] simplifiying candidate #real (real->posit16 (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> 22.523 * * * * [progress]: [ 47 / 116 ] simplifiying candidate # 22.523 * * * * [progress]: [ 48 / 116 ] simplifiying candidate # 22.523 * * * * [progress]: [ 49 / 116 ] simplifiying candidate # 22.523 * * * * [progress]: [ 50 / 116 ] simplifiying candidate # 22.523 * * * * [progress]: [ 51 / 116 ] simplifiying candidate # 22.523 * * * * [progress]: [ 52 / 116 ] simplifiying candidate # 22.524 * * * * [progress]: [ 53 / 116 ] simplifiying candidate # 22.524 * * * * [progress]: [ 54 / 116 ] simplifiying candidate # 22.524 * * * * [progress]: [ 55 / 116 ] simplifiying candidate # 22.524 * * * * [progress]: [ 56 / 116 ] simplifiying candidate # 22.524 * * * * [progress]: [ 57 / 116 ] simplifiying candidate # 22.524 * * * * [progress]: [ 58 / 116 ] simplifiying candidate # 22.524 * * * * [progress]: [ 59 / 116 ] simplifiying candidate # 22.524 * * * * [progress]: [ 60 / 116 ] simplifiying candidate # 22.524 * * * * [progress]: [ 61 / 116 ] simplifiying candidate # 22.524 * * * * [progress]: [ 62 / 116 ] simplifiying candidate # 22.524 * * * * [progress]: [ 63 / 116 ] simplifiying candidate # 22.524 * * * * [progress]: [ 64 / 116 ] simplifiying candidate # 22.524 * * * * [progress]: [ 65 / 116 ] simplifiying candidate # 22.524 * * * * [progress]: [ 66 / 116 ] simplifiying candidate # 22.524 * * * * [progress]: [ 67 / 116 ] simplifiying candidate # 22.524 * * * * [progress]: [ 68 / 116 ] simplifiying candidate # 22.524 * * * * [progress]: [ 69 / 116 ] simplifiying candidate # 22.524 * * * * [progress]: [ 70 / 116 ] simplifiying candidate # 22.524 * * * * [progress]: [ 71 / 116 ] simplifiying candidate # 22.524 * * * * [progress]: [ 72 / 116 ] simplifiying candidate # 22.524 * * * * [progress]: [ 73 / 116 ] simplifiying candidate # 22.525 * * * * [progress]: [ 74 / 116 ] simplifiying candidate # 22.525 * * * * [progress]: [ 75 / 116 ] simplifiying candidate # 22.525 * * * * [progress]: [ 76 / 116 ] simplifiying candidate # 22.525 * * * * [progress]: [ 77 / 116 ] simplifiying candidate # 22.525 * * * * [progress]: [ 78 / 116 ] simplifiying candidate # 22.525 * * * * [progress]: [ 79 / 116 ] simplifiying candidate # 22.525 * * * * [progress]: [ 80 / 116 ] simplifiying candidate # 22.525 * * * * [progress]: [ 81 / 116 ] simplifiying candidate # 22.525 * * * * [progress]: [ 82 / 116 ] simplifiying candidate # 22.525 * * * * [progress]: [ 83 / 116 ] simplifiying candidate # 22.525 * * * * [progress]: [ 84 / 116 ] simplifiying candidate #real (real->posit16 (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> 22.525 * * * * [progress]: [ 85 / 116 ] simplifiying candidate # 22.525 * * * * [progress]: [ 86 / 116 ] simplifiying candidate # 22.525 * * * * [progress]: [ 87 / 116 ] simplifiying candidate # 22.525 * * * * [progress]: [ 88 / 116 ] simplifiying candidate # 22.525 * * * * [progress]: [ 89 / 116 ] simplifiying candidate # 22.525 * * * * [progress]: [ 90 / 116 ] simplifiying candidate # 22.525 * * * * [progress]: [ 91 / 116 ] simplifiying candidate # 22.525 * * * * [progress]: [ 92 / 116 ] simplifiying candidate # 22.525 * * * * [progress]: [ 93 / 116 ] simplifiying candidate # 22.526 * * * * [progress]: [ 94 / 116 ] simplifiying candidate # 22.526 * * * * [progress]: [ 95 / 116 ] simplifiying candidate # 22.526 * * * * [progress]: [ 96 / 116 ] simplifiying candidate # 22.526 * * * * [progress]: [ 97 / 116 ] simplifiying candidate # 22.526 * * * * [progress]: [ 98 / 116 ] simplifiying candidate # 22.526 * * * * [progress]: [ 99 / 116 ] simplifiying candidate # 22.526 * * * * [progress]: [ 100 / 116 ] simplifiying candidate # 22.526 * * * * [progress]: [ 101 / 116 ] simplifiying candidate # 22.526 * * * * [progress]: [ 102 / 116 ] simplifiying candidate # 22.526 * * * * [progress]: [ 103 / 116 ] simplifiying candidate #real (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> 22.526 * * * * [progress]: [ 104 / 116 ] simplifiying candidate # 22.526 * * * * [progress]: [ 105 / 116 ] simplifiying candidate # 22.526 * * * * [progress]: [ 106 / 116 ] simplifiying candidate # 22.526 * * * * [progress]: [ 107 / 116 ] simplifiying candidate # 22.526 * * * * [progress]: [ 108 / 116 ] simplifiying candidate # 22.526 * * * * [progress]: [ 109 / 116 ] simplifiying candidate # 22.526 * * * * [progress]: [ 110 / 116 ] simplifiying candidate # 22.526 * * * * [progress]: [ 111 / 116 ] simplifiying candidate # 22.526 * * * * [progress]: [ 112 / 116 ] simplifiying candidate # 22.526 * * * * [progress]: [ 113 / 116 ] simplifiying candidate # 22.526 * * * * [progress]: [ 114 / 116 ] simplifiying candidate # 22.526 * * * * [progress]: [ 115 / 116 ] simplifiying candidate # 22.526 * * * * [progress]: [ 116 / 116 ] simplifiying candidate # 22.528 * [simplify]: Simplifying: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (+ 1 1) (+ 1 1) (+ 1 1) (+ 1 1) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (cos lambda1) (cos 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(cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos lambda1) (cos lambda2))) (* (* (* (cos lambda1) (cos lambda1)) (cos lambda1)) (* (* (cos lambda2) (cos lambda2)) (cos lambda2)))) (* (* (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos lambda1) (cos lambda2))) (* (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos lambda1) (cos lambda2)))) (* (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2)))) (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))))) (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2)))) (* (* (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2)))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2)))) (sqrt (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2)))) (sqrt (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2)))) (* (+ (cos 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(log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (- (* (* (cos 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lambda2))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))) (/ (* (cos phi1) (* (cos 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lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R) (* (acos (- (+ (* (sin phi1) (sin phi2)) (/ (* (cos phi1) (* (cos phi2) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (/ (* (cos phi1) (* (cos phi2) (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 22.530 * * [simplify]: iteration 1: (174 enodes) 22.589 * * [simplify]: iteration 2: (428 enodes) 22.752 * * [simplify]: iteration 3: (1551 enodes) 25.829 * * [simplify]: Extracting #0: cost 57 inf + 0 25.831 * * [simplify]: Extracting #1: cost 402 inf + 2 25.838 * * [simplify]: Extracting #2: cost 809 inf + 446 25.844 * * [simplify]: Extracting #3: cost 921 inf + 4524 25.857 * * [simplify]: Extracting #4: cost 698 inf + 69256 25.911 * * [simplify]: Extracting #5: cost 553 inf + 181995 25.986 * * [simplify]: Extracting #6: cost 149 inf + 303098 26.152 * * [simplify]: Extracting #7: cost 13 inf + 388682 26.270 * * [simplify]: Extracting #8: cost 0 inf + 402256 26.411 * * [simplify]: Extracting #9: cost 0 inf + 401896 26.549 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (/ (cos phi2) (/ (/ (/ (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (cos phi1))))) (log (acos (+ (* (sin phi2) (sin phi1)) (/ (cos phi2) (/ (/ (/ (- (* 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(sin phi2) (sin phi1))) (* (/ (cos phi1) (/ (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))))) (cos phi2)))) (acos (- (+ (* (/ (cos phi1) (/ (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))))) (cos phi2)) (* (sin phi2) (sin phi1))) (* (/ (cos phi1) (/ (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))))) (cos phi2)))) (- (- 1 (* lambda1 lambda1)) (* lambda2 lambda2)) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* lambda2 lambda1) (* lambda2 lambda1)) (* (* (* lambda2 lambda2) (+ (* (* lambda1 lambda1) (* lambda1 lambda1)) (* (* lambda2 lambda1) (* lambda2 lambda1)))) 1/3)) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (acos (- (+ (* (/ (cos phi1) (/ (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))))) (cos phi2)) (* (sin phi2) (sin phi1))) (* (/ (cos phi1) (/ (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))))) (cos phi2)))) R) (* (acos (- (+ (* (/ (cos phi1) (/ (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))))) (cos phi2)) (* (sin phi2) (sin phi1))) (* (/ (cos phi1) (/ (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))))) (cos phi2)))) R) (* (acos (- (+ (* (/ (cos phi1) (/ (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))))) (cos phi2)) (* (sin phi2) (sin phi1))) (* (/ (cos phi1) (/ (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))))) (cos phi2)))) R) 26.574 * * * [progress]: adding candidates to table 29.294 * [progress]: [Phase 3 of 3] Extracting. 29.295 * * [regime]: Finding splitpoints for: (# # # # # #real (real->posit16 (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # # # # # # # # # # # #) 29.321 * * * [regime-changes]: Trying 5 branch expressions: (phi2 phi1 lambda2 lambda1 R) 29.321 * * * * [regimes]: Trying to branch on phi2 from (# # # # # #real (real->posit16 (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # # # # # # # # # # # #) 29.584 * * * * [regimes]: Trying to branch on phi1 from (# # # # # #real (real->posit16 (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # # # # # # # # # # # #) 29.867 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # #real (real->posit16 (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # # # # # # # # # # # #) 30.146 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # #real (real->posit16 (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # # # # # # # # # # # #) 30.412 * * * * [regimes]: Trying to branch on R from (# # # # # #real (real->posit16 (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # # # # # # # # # # # #) 30.725 * * * [regime]: Found split indices: #