0.004 * [progress]: [Phase 1 of 3] Setting up. 0.005 * * * [progress]: [1/2] Preparing points 0.825 * * * [progress]: [2/2] Setting up program. 0.837 * [progress]: [Phase 2 of 3] Improving. 0.837 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.839 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.841 * * [simplify]: iters left: 6 (17 enodes) 0.854 * * [simplify]: iters left: 5 (60 enodes) 0.889 * * [simplify]: iters left: 4 (71 enodes) 0.912 * * [simplify]: iters left: 3 (76 enodes) 0.932 * * [simplify]: Extracting #0: cost 1 inf + 0 0.932 * * [simplify]: Extracting #1: cost 4 inf + 0 0.933 * * [simplify]: Extracting #2: cost 5 inf + 1 0.933 * * [simplify]: Extracting #3: cost 8 inf + 1 0.933 * * [simplify]: Extracting #4: cost 18 inf + 1 0.933 * * [simplify]: Extracting #5: cost 29 inf + 1 0.933 * * [simplify]: Extracting #6: cost 25 inf + 369 0.934 * * [simplify]: Extracting #7: cost 19 inf + 979 0.934 * * [simplify]: Extracting #8: cost 9 inf + 2522 0.936 * * [simplify]: Extracting #9: cost 0 inf + 6397 0.938 * [simplify]: Simplified to (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 0.938 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) 0.952 * * [progress]: iteration 1 / 4 0.952 * * * [progress]: picking best candidate 0.962 * * * * [pick]: Picked # 0.963 * * * [progress]: localizing error 1.061 * * * [progress]: generating rewritten candidates 1.061 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 1.079 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.082 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.087 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 1.100 * * * [progress]: generating series expansions 1.101 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 1.103 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2)) 1.103 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 1.104 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 1.104 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 1.104 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.104 * [backup-simplify]: Simplify lambda1 into lambda1 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 (- 0) into 0 1.105 * [backup-simplify]: Simplify (+ lambda1 0) into lambda1 1.105 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 1.105 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 1.105 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 1.105 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 1.105 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.105 * [backup-simplify]: Simplify 0 into 0 1.105 * [backup-simplify]: Simplify 1 into 1 1.105 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.105 * [backup-simplify]: Simplify lambda2 into lambda2 1.106 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.106 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 1.106 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 1.106 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 1.106 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 1.106 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) 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 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.106 * [backup-simplify]: Simplify lambda2 into lambda2 1.106 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.106 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 1.106 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 1.106 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 1.108 * [backup-simplify]: Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2)) 1.108 * [backup-simplify]: Simplify (* (sin (- lambda2)) 0) into 0 1.108 * [backup-simplify]: Simplify (- 0) into 0 1.108 * [backup-simplify]: Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2)) 1.108 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 1.108 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.108 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.108 * [backup-simplify]: Simplify 0 into 0 1.108 * [backup-simplify]: Simplify 1 into 1 1.108 * [backup-simplify]: Simplify (- 0) into 0 1.109 * [backup-simplify]: Simplify (- 1) into -1 1.109 * [backup-simplify]: Simplify 1 into 1 1.110 * [backup-simplify]: Simplify (+ 0) into 0 1.110 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (* 0 1)) into 0 1.111 * [backup-simplify]: Simplify (- 0) into 0 1.111 * [backup-simplify]: Simplify (+ 1 0) into 1 1.111 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.112 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 1) (* 0 0)) into (sin (- lambda2)) 1.112 * [backup-simplify]: Simplify (- (sin (- lambda2))) into (- (sin (- lambda2))) 1.112 * [backup-simplify]: Simplify (+ 0 (- (sin (- lambda2)))) into (- (sin (- lambda2))) 1.112 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 1.112 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.112 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.112 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.112 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify 1 into 1 1.112 * [backup-simplify]: Simplify (- 0) into 0 1.112 * [backup-simplify]: Simplify (- 1) into -1 1.112 * [backup-simplify]: Simplify (- 0) into 0 1.113 * [backup-simplify]: Simplify 0 into 0 1.113 * [backup-simplify]: Simplify (+ 0) into 0 1.113 * [backup-simplify]: Simplify 0 into 0 1.113 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.114 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (- lambda2)))) 1.115 * [backup-simplify]: Simplify (- 0) into 0 1.115 * [backup-simplify]: Simplify (+ 0 0) into 0 1.116 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.117 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 1) (* 0 0))) into 0 1.117 * [backup-simplify]: Simplify (- 0) into 0 1.117 * [backup-simplify]: Simplify (+ (- (* 1/2 (cos (- lambda2)))) 0) into (- (* 1/2 (cos (- lambda2)))) 1.117 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 1.117 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 1.117 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.117 * [backup-simplify]: Simplify 1/2 into 1/2 1.117 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 1.117 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.117 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.117 * [backup-simplify]: Simplify 0 into 0 1.117 * [backup-simplify]: Simplify 1 into 1 1.118 * [backup-simplify]: Simplify (- 0) into 0 1.118 * [backup-simplify]: Simplify (- 1) into -1 1.119 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.119 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.119 * [backup-simplify]: Simplify -1/2 into -1/2 1.120 * [backup-simplify]: Simplify (- 1) into -1 1.120 * [backup-simplify]: Simplify (+ (* 1 (/ (pow -1 1) 1))) into -1 1.121 * [backup-simplify]: Simplify (- -1) into 1 1.121 * [backup-simplify]: Simplify 1 into 1 1.122 * [backup-simplify]: Simplify (+ (* 1 (* lambda2 lambda1)) (+ (* -1/2 (pow (* 1 lambda1) 2)) 1)) into (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) 1.122 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.122 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.122 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 1.122 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 1.122 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.122 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.122 * [backup-simplify]: Simplify lambda1 into lambda1 1.123 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.123 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.123 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.123 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify 1 into 1 1.123 * [backup-simplify]: Simplify (/ 1 1) into 1 1.124 * [backup-simplify]: Simplify (- 1) into -1 1.124 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.124 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.125 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 1.125 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 1.125 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.125 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.125 * [backup-simplify]: Simplify 0 into 0 1.125 * [backup-simplify]: Simplify 1 into 1 1.125 * [backup-simplify]: Simplify (/ 1 1) into 1 1.125 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.125 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.125 * [backup-simplify]: Simplify lambda2 into lambda2 1.125 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.126 * [backup-simplify]: Simplify (+ 1 0) into 1 1.126 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.126 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 1.126 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 1.126 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.126 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.126 * [backup-simplify]: Simplify 0 into 0 1.126 * [backup-simplify]: Simplify 1 into 1 1.126 * [backup-simplify]: Simplify (/ 1 1) into 1 1.126 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.126 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.126 * [backup-simplify]: Simplify lambda2 into lambda2 1.127 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.127 * [backup-simplify]: Simplify (+ 1 0) into 1 1.127 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.127 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 1.127 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 1.127 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.127 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.127 * [backup-simplify]: Simplify lambda1 into lambda1 1.127 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.127 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.127 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.128 * [backup-simplify]: Simplify 0 into 0 1.128 * [backup-simplify]: Simplify 1 into 1 1.128 * [backup-simplify]: Simplify (/ 1 1) into 1 1.128 * [backup-simplify]: Simplify (- 1) into -1 1.129 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.129 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.129 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.129 * [taylor]: Taking taylor expansion of 0 in lambda2 1.129 * [backup-simplify]: Simplify 0 into 0 1.129 * [backup-simplify]: Simplify 0 into 0 1.129 * [backup-simplify]: Simplify 0 into 0 1.129 * [taylor]: Taking taylor expansion of 0 in lambda2 1.129 * [backup-simplify]: Simplify 0 into 0 1.129 * [backup-simplify]: Simplify 0 into 0 1.129 * [backup-simplify]: Simplify 0 into 0 1.129 * [backup-simplify]: Simplify 0 into 0 1.129 * [taylor]: Taking taylor expansion of 0 in lambda2 1.129 * [backup-simplify]: Simplify 0 into 0 1.129 * [backup-simplify]: Simplify 0 into 0 1.130 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) into (cos (- lambda1 lambda2)) 1.130 * [backup-simplify]: Simplify (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.130 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 1.130 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 1.130 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 1.130 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.130 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [backup-simplify]: Simplify 1 into 1 1.131 * [backup-simplify]: Simplify (/ 1 1) into 1 1.131 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.131 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.131 * [backup-simplify]: Simplify lambda1 into lambda1 1.131 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.131 * [backup-simplify]: Simplify (+ 1 0) into 1 1.131 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.132 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 1.132 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 1.132 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.132 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.132 * [backup-simplify]: Simplify lambda2 into lambda2 1.132 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.132 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.132 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.132 * [backup-simplify]: Simplify 0 into 0 1.132 * [backup-simplify]: Simplify 1 into 1 1.132 * [backup-simplify]: Simplify (/ 1 1) into 1 1.133 * [backup-simplify]: Simplify (- 1) into -1 1.133 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.133 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.133 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 1.133 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 1.133 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.133 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.133 * [backup-simplify]: Simplify lambda2 into lambda2 1.133 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.133 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.133 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.133 * [backup-simplify]: Simplify 0 into 0 1.133 * [backup-simplify]: Simplify 1 into 1 1.134 * [backup-simplify]: Simplify (/ 1 1) into 1 1.134 * [backup-simplify]: Simplify (- 1) into -1 1.135 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.135 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.135 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 1.135 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 1.135 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.135 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.135 * [backup-simplify]: Simplify 0 into 0 1.135 * [backup-simplify]: Simplify 1 into 1 1.135 * [backup-simplify]: Simplify (/ 1 1) into 1 1.135 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.135 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.135 * [backup-simplify]: Simplify lambda1 into lambda1 1.135 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.136 * [backup-simplify]: Simplify (+ 1 0) into 1 1.136 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.136 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 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 * [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 * [backup-simplify]: Simplify 0 into 0 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 (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))) into (cos (- lambda1 lambda2)) 1.137 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.137 * [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)))) 1.137 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in (phi1 phi2 lambda1 lambda2) around 0 1.137 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 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 (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 (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 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 (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 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 (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 1.141 * [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)))) 1.141 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 1.141 * [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)))) 1.141 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 1.141 * [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)))) 1.141 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 1.142 * [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)))) 1.142 * [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)))) 1.142 * [taylor]: Taking taylor expansion of 0 in phi2 1.142 * [backup-simplify]: Simplify 0 into 0 1.142 * [taylor]: Taking taylor expansion of 0 in lambda1 1.142 * [backup-simplify]: Simplify 0 into 0 1.142 * [taylor]: Taking taylor expansion of 0 in lambda2 1.142 * [backup-simplify]: Simplify 0 into 0 1.142 * [backup-simplify]: Simplify 0 into 0 1.142 * [taylor]: Taking taylor expansion of 0 in lambda1 1.142 * [backup-simplify]: Simplify 0 into 0 1.142 * [taylor]: Taking taylor expansion of 0 in lambda2 1.142 * [backup-simplify]: Simplify 0 into 0 1.142 * [backup-simplify]: Simplify 0 into 0 1.142 * [taylor]: Taking taylor expansion of 0 in lambda2 1.142 * [backup-simplify]: Simplify 0 into 0 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 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 * [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 * [backup-simplify]: Simplify 0 into 0 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)))) 1.144 * [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)))))) 1.144 * [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 1.144 * [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 1.144 * [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)))))) 1.144 * [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 1.145 * [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)))))) 1.145 * [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 1.145 * [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)))))) 1.145 * [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 1.146 * [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 (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi1 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 (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi2 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 (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 (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)))))) 1.148 * [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 0 in phi2 1.148 * [backup-simplify]: Simplify 0 into 0 1.148 * [taylor]: Taking taylor expansion of 0 in lambda1 1.148 * [backup-simplify]: Simplify 0 into 0 1.148 * [taylor]: Taking taylor expansion of 0 in lambda2 1.148 * [backup-simplify]: Simplify 0 into 0 1.148 * [backup-simplify]: Simplify 0 into 0 1.148 * [taylor]: Taking taylor expansion of 0 in lambda1 1.148 * [backup-simplify]: Simplify 0 into 0 1.148 * [taylor]: Taking taylor expansion of 0 in lambda2 1.148 * [backup-simplify]: Simplify 0 into 0 1.148 * [backup-simplify]: Simplify 0 into 0 1.148 * [taylor]: Taking taylor expansion of 0 in lambda2 1.148 * [backup-simplify]: Simplify 0 into 0 1.148 * [backup-simplify]: Simplify 0 into 0 1.149 * [backup-simplify]: Simplify 0 into 0 1.149 * [taylor]: Taking taylor expansion of 0 in phi2 1.149 * [backup-simplify]: Simplify 0 into 0 1.149 * [taylor]: Taking taylor expansion of 0 in lambda1 1.149 * [backup-simplify]: Simplify 0 into 0 1.149 * [taylor]: Taking taylor expansion of 0 in lambda2 1.149 * [backup-simplify]: Simplify 0 into 0 1.149 * [backup-simplify]: Simplify 0 into 0 1.149 * [taylor]: Taking taylor expansion of 0 in lambda1 1.149 * [backup-simplify]: Simplify 0 into 0 1.149 * [taylor]: Taking taylor expansion of 0 in lambda2 1.149 * [backup-simplify]: Simplify 0 into 0 1.149 * [backup-simplify]: Simplify 0 into 0 1.149 * [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)))) 1.150 * [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))))))) 1.150 * [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 1.150 * [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 1.150 * [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))))))) 1.151 * [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 1.151 * [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))))))) 1.151 * [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 1.151 * [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))))))) 1.151 * [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 1.152 * [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))))))) 1.152 * [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 1.152 * [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))))))) 1.152 * [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 1.153 * [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))))))) 1.153 * [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 1.153 * [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))))))) 1.153 * [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 1.154 * [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))))))) 1.154 * [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))))))) 1.154 * [taylor]: Taking taylor expansion of 0 in phi2 1.154 * [backup-simplify]: Simplify 0 into 0 1.154 * [taylor]: Taking taylor expansion of 0 in lambda1 1.154 * [backup-simplify]: Simplify 0 into 0 1.155 * [taylor]: Taking taylor expansion of 0 in lambda2 1.155 * [backup-simplify]: Simplify 0 into 0 1.155 * [backup-simplify]: Simplify 0 into 0 1.155 * [taylor]: Taking taylor expansion of 0 in lambda1 1.155 * [backup-simplify]: Simplify 0 into 0 1.155 * [taylor]: Taking taylor expansion of 0 in lambda2 1.155 * [backup-simplify]: Simplify 0 into 0 1.155 * [backup-simplify]: Simplify 0 into 0 1.155 * [taylor]: Taking taylor expansion of 0 in lambda2 1.155 * [backup-simplify]: Simplify 0 into 0 1.155 * [backup-simplify]: Simplify 0 into 0 1.155 * [backup-simplify]: Simplify 0 into 0 1.155 * [taylor]: Taking taylor expansion of 0 in phi2 1.155 * [backup-simplify]: Simplify 0 into 0 1.155 * [taylor]: Taking taylor expansion of 0 in lambda1 1.155 * [backup-simplify]: Simplify 0 into 0 1.155 * [taylor]: Taking taylor expansion of 0 in lambda2 1.155 * [backup-simplify]: Simplify 0 into 0 1.155 * [backup-simplify]: Simplify 0 into 0 1.155 * [taylor]: Taking taylor expansion of 0 in lambda1 1.155 * [backup-simplify]: Simplify 0 into 0 1.155 * [taylor]: Taking taylor expansion of 0 in lambda2 1.155 * [backup-simplify]: Simplify 0 into 0 1.155 * [backup-simplify]: Simplify 0 into 0 1.156 * [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)))) 1.156 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.156 * [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) 1.156 * [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 1.156 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in R 1.156 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in R 1.157 * [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)))) 1.157 * [taylor]: Taking taylor expansion of R in R 1.157 * [backup-simplify]: Simplify 0 into 0 1.157 * [backup-simplify]: Simplify 1 into 1 1.157 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda2 1.157 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 1.157 * [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)))) 1.157 * [taylor]: Taking taylor expansion of R in lambda2 1.157 * [backup-simplify]: Simplify R into R 1.157 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda1 1.157 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 1.158 * [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)))) 1.158 * [taylor]: Taking taylor expansion of R in lambda1 1.158 * [backup-simplify]: Simplify R into R 1.158 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi2 1.158 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 1.158 * [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)))) 1.158 * [taylor]: Taking taylor expansion of R in phi2 1.158 * [backup-simplify]: Simplify R into R 1.158 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi1 1.158 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 1.158 * [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)))) 1.158 * [taylor]: Taking taylor expansion of R in phi1 1.158 * [backup-simplify]: Simplify R into R 1.158 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi1 1.159 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 1.159 * [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)))) 1.159 * [taylor]: Taking taylor expansion of R in phi1 1.159 * [backup-simplify]: Simplify R into R 1.159 * [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) 1.159 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi2 1.159 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 1.160 * [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)))) 1.160 * [taylor]: Taking taylor expansion of R in phi2 1.160 * [backup-simplify]: Simplify R into R 1.160 * [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) 1.160 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda1 1.160 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 1.160 * [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)))) 1.160 * [taylor]: Taking taylor expansion of R in lambda1 1.160 * [backup-simplify]: Simplify R into R 1.161 * [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) 1.161 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda2 1.161 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 1.161 * [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)))) 1.161 * [taylor]: Taking taylor expansion of R in lambda2 1.161 * [backup-simplify]: Simplify R into R 1.161 * [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) 1.162 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in R 1.162 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in R 1.162 * [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)))) 1.162 * [taylor]: Taking taylor expansion of R in R 1.162 * [backup-simplify]: Simplify 0 into 0 1.162 * [backup-simplify]: Simplify 1 into 1 1.162 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) into 0 1.162 * [backup-simplify]: Simplify 0 into 0 1.163 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 1.163 * [taylor]: Taking taylor expansion of 0 in phi2 1.163 * [backup-simplify]: Simplify 0 into 0 1.163 * [taylor]: Taking taylor expansion of 0 in lambda1 1.163 * [backup-simplify]: Simplify 0 into 0 1.163 * [taylor]: Taking taylor expansion of 0 in lambda2 1.163 * [backup-simplify]: Simplify 0 into 0 1.163 * [taylor]: Taking taylor expansion of 0 in R 1.163 * [backup-simplify]: Simplify 0 into 0 1.163 * [backup-simplify]: Simplify 0 into 0 1.164 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 1.164 * [taylor]: Taking taylor expansion of 0 in lambda1 1.164 * [backup-simplify]: Simplify 0 into 0 1.164 * [taylor]: Taking taylor expansion of 0 in lambda2 1.164 * [backup-simplify]: Simplify 0 into 0 1.164 * [taylor]: Taking taylor expansion of 0 in R 1.164 * [backup-simplify]: Simplify 0 into 0 1.164 * [backup-simplify]: Simplify 0 into 0 1.164 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 1.164 * [taylor]: Taking taylor expansion of 0 in lambda2 1.164 * [backup-simplify]: Simplify 0 into 0 1.164 * [taylor]: Taking taylor expansion of 0 in R 1.164 * [backup-simplify]: Simplify 0 into 0 1.164 * [backup-simplify]: Simplify 0 into 0 1.165 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 1.165 * [taylor]: Taking taylor expansion of 0 in R 1.165 * [backup-simplify]: Simplify 0 into 0 1.165 * [backup-simplify]: Simplify 0 into 0 1.174 * [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)))) 1.174 * [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)))) 1.176 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0 1.176 * [taylor]: Taking taylor expansion of 0 in phi2 1.176 * [backup-simplify]: Simplify 0 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 * [backup-simplify]: Simplify 0 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 1.177 * [backup-simplify]: Simplify 0 into 0 1.177 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0 1.177 * [taylor]: Taking taylor expansion of 0 in lambda1 1.177 * [backup-simplify]: Simplify 0 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 1.178 * [backup-simplify]: Simplify 0 into 0 1.178 * [taylor]: Taking taylor expansion of 0 in lambda2 1.178 * [backup-simplify]: Simplify 0 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 * [taylor]: Taking taylor expansion of 0 in lambda2 1.178 * [backup-simplify]: Simplify 0 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 1.179 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0 1.179 * [taylor]: Taking taylor expansion of 0 in lambda2 1.179 * [backup-simplify]: Simplify 0 into 0 1.179 * [taylor]: Taking taylor expansion of 0 in R 1.179 * [backup-simplify]: Simplify 0 into 0 1.179 * [backup-simplify]: Simplify 0 into 0 1.180 * [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) 1.181 * [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) 1.181 * [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 1.181 * [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 1.181 * [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 1.181 * [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)))))) 1.181 * [taylor]: Taking taylor expansion of R in R 1.181 * [backup-simplify]: Simplify 0 into 0 1.181 * [backup-simplify]: Simplify 1 into 1 1.182 * [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)))))) 1.182 * [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 1.182 * [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 1.182 * [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)))))) 1.182 * [taylor]: Taking taylor expansion of R in lambda2 1.182 * [backup-simplify]: Simplify R into R 1.182 * [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) 1.182 * [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 1.182 * [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 1.183 * [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)))))) 1.183 * [taylor]: Taking taylor expansion of R in lambda1 1.183 * [backup-simplify]: Simplify R into R 1.183 * [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) 1.183 * [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 1.183 * [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 1.183 * [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)))))) 1.183 * [taylor]: Taking taylor expansion of R in phi2 1.183 * [backup-simplify]: Simplify R into R 1.183 * [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) 1.183 * [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 1.183 * [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 1.184 * [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)))))) 1.184 * [taylor]: Taking taylor expansion of R in phi1 1.184 * [backup-simplify]: Simplify R into R 1.184 * [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) 1.184 * [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 1.184 * [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 1.184 * [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)))))) 1.184 * [taylor]: Taking taylor expansion of R in phi1 1.184 * [backup-simplify]: Simplify R into R 1.184 * [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) 1.185 * [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 1.185 * [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 1.185 * [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)))))) 1.185 * [taylor]: Taking taylor expansion of R in phi2 1.185 * [backup-simplify]: Simplify R into R 1.185 * [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) 1.185 * [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 1.185 * [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 1.185 * [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)))))) 1.185 * [taylor]: Taking taylor expansion of R in lambda1 1.185 * [backup-simplify]: Simplify R into R 1.186 * [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) 1.186 * [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 1.186 * [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 1.186 * [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)))))) 1.186 * [taylor]: Taking taylor expansion of R in lambda2 1.186 * [backup-simplify]: Simplify R into R 1.186 * [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) 1.186 * [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 1.186 * [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 1.186 * [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)))))) 1.186 * [taylor]: Taking taylor expansion of R in R 1.186 * [backup-simplify]: Simplify 0 into 0 1.186 * [backup-simplify]: Simplify 1 into 1 1.187 * [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)))))) 1.187 * [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)))))) 1.187 * [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 1.188 * [taylor]: Taking taylor expansion of 0 in phi2 1.188 * [backup-simplify]: Simplify 0 into 0 1.188 * [taylor]: Taking taylor expansion of 0 in lambda1 1.188 * [backup-simplify]: Simplify 0 into 0 1.188 * [taylor]: Taking taylor expansion of 0 in lambda2 1.188 * [backup-simplify]: Simplify 0 into 0 1.188 * [taylor]: Taking taylor expansion of 0 in R 1.188 * [backup-simplify]: Simplify 0 into 0 1.188 * [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 1.188 * [taylor]: Taking taylor expansion of 0 in lambda1 1.188 * [backup-simplify]: Simplify 0 into 0 1.188 * [taylor]: Taking taylor expansion of 0 in lambda2 1.188 * [backup-simplify]: Simplify 0 into 0 1.188 * [taylor]: Taking taylor expansion of 0 in R 1.188 * [backup-simplify]: Simplify 0 into 0 1.188 * [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 1.188 * [taylor]: Taking taylor expansion of 0 in lambda2 1.188 * [backup-simplify]: Simplify 0 into 0 1.188 * [taylor]: Taking taylor expansion of 0 in R 1.188 * [backup-simplify]: Simplify 0 into 0 1.189 * [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 1.189 * [taylor]: Taking taylor expansion of 0 in R 1.189 * [backup-simplify]: Simplify 0 into 0 1.190 * [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 1.190 * [backup-simplify]: Simplify 0 into 0 1.190 * [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 1.190 * [taylor]: Taking taylor expansion of 0 in phi2 1.190 * [backup-simplify]: Simplify 0 into 0 1.190 * [taylor]: Taking taylor expansion of 0 in lambda1 1.190 * [backup-simplify]: Simplify 0 into 0 1.190 * [taylor]: Taking taylor expansion of 0 in lambda2 1.190 * [backup-simplify]: Simplify 0 into 0 1.190 * [taylor]: Taking taylor expansion of 0 in R 1.190 * [backup-simplify]: Simplify 0 into 0 1.190 * [taylor]: Taking taylor expansion of 0 in lambda1 1.190 * [backup-simplify]: Simplify 0 into 0 1.190 * [taylor]: Taking taylor expansion of 0 in lambda2 1.190 * [backup-simplify]: Simplify 0 into 0 1.190 * [taylor]: Taking taylor expansion of 0 in R 1.190 * [backup-simplify]: Simplify 0 into 0 1.191 * [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 1.191 * [taylor]: Taking taylor expansion of 0 in lambda1 1.191 * [backup-simplify]: Simplify 0 into 0 1.191 * [taylor]: Taking taylor expansion of 0 in lambda2 1.191 * [backup-simplify]: Simplify 0 into 0 1.191 * [taylor]: Taking taylor expansion of 0 in R 1.191 * [backup-simplify]: Simplify 0 into 0 1.191 * [taylor]: Taking taylor expansion of 0 in lambda2 1.191 * [backup-simplify]: Simplify 0 into 0 1.191 * [taylor]: Taking taylor expansion of 0 in R 1.191 * [backup-simplify]: Simplify 0 into 0 1.191 * [taylor]: Taking taylor expansion of 0 in lambda2 1.191 * [backup-simplify]: Simplify 0 into 0 1.191 * [taylor]: Taking taylor expansion of 0 in R 1.191 * [backup-simplify]: Simplify 0 into 0 1.191 * [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 1.191 * [taylor]: Taking taylor expansion of 0 in lambda2 1.191 * [backup-simplify]: Simplify 0 into 0 1.191 * [taylor]: Taking taylor expansion of 0 in R 1.191 * [backup-simplify]: Simplify 0 into 0 1.191 * [taylor]: Taking taylor expansion of 0 in R 1.191 * [backup-simplify]: Simplify 0 into 0 1.191 * [taylor]: Taking taylor expansion of 0 in R 1.191 * [backup-simplify]: Simplify 0 into 0 1.192 * [taylor]: Taking taylor expansion of 0 in R 1.192 * [backup-simplify]: Simplify 0 into 0 1.192 * [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 1.192 * [taylor]: Taking taylor expansion of 0 in R 1.192 * [backup-simplify]: Simplify 0 into 0 1.192 * [backup-simplify]: Simplify 0 into 0 1.192 * [backup-simplify]: Simplify 0 into 0 1.192 * [backup-simplify]: Simplify 0 into 0 1.192 * [backup-simplify]: Simplify 0 into 0 1.193 * [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 1.193 * [backup-simplify]: Simplify 0 into 0 1.194 * [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) 1.194 * [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)) 1.194 * [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 1.194 * [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 1.194 * [taylor]: Taking taylor expansion of -1 in R 1.194 * [backup-simplify]: Simplify -1 into -1 1.194 * [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 1.194 * [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 1.195 * [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))))))) 1.195 * [taylor]: Taking taylor expansion of R in R 1.195 * [backup-simplify]: Simplify 0 into 0 1.195 * [backup-simplify]: Simplify 1 into 1 1.195 * [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))))))) 1.195 * [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 1.195 * [taylor]: Taking taylor expansion of -1 in lambda2 1.195 * [backup-simplify]: Simplify -1 into -1 1.195 * [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 1.195 * [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 1.195 * [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))))))) 1.195 * [taylor]: Taking taylor expansion of R in lambda2 1.195 * [backup-simplify]: Simplify R into R 1.195 * [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) 1.195 * [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 1.195 * [taylor]: Taking taylor expansion of -1 in lambda1 1.195 * [backup-simplify]: Simplify -1 into -1 1.195 * [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 1.196 * [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 1.196 * [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))))))) 1.196 * [taylor]: Taking taylor expansion of R in lambda1 1.196 * [backup-simplify]: Simplify R into R 1.196 * [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) 1.196 * [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 1.196 * [taylor]: Taking taylor expansion of -1 in phi2 1.196 * [backup-simplify]: Simplify -1 into -1 1.196 * [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 1.196 * [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 1.196 * [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))))))) 1.196 * [taylor]: Taking taylor expansion of R in phi2 1.196 * [backup-simplify]: Simplify R into R 1.197 * [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) 1.197 * [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 1.197 * [taylor]: Taking taylor expansion of -1 in phi1 1.197 * [backup-simplify]: Simplify -1 into -1 1.197 * [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 1.197 * [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 1.197 * [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))))))) 1.197 * [taylor]: Taking taylor expansion of R in phi1 1.197 * [backup-simplify]: Simplify R into R 1.197 * [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) 1.197 * [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 1.197 * [taylor]: Taking taylor expansion of -1 in phi1 1.197 * [backup-simplify]: Simplify -1 into -1 1.197 * [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 1.197 * [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 1.198 * [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))))))) 1.198 * [taylor]: Taking taylor expansion of R in phi1 1.198 * [backup-simplify]: Simplify R into R 1.198 * [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) 1.198 * [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)) 1.198 * [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 1.198 * [taylor]: Taking taylor expansion of -1 in phi2 1.198 * [backup-simplify]: Simplify -1 into -1 1.198 * [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 1.198 * [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 1.198 * [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))))))) 1.198 * [taylor]: Taking taylor expansion of R in phi2 1.199 * [backup-simplify]: Simplify R into R 1.199 * [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) 1.199 * [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)) 1.199 * [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 1.199 * [taylor]: Taking taylor expansion of -1 in lambda1 1.199 * [backup-simplify]: Simplify -1 into -1 1.199 * [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 1.199 * [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 1.199 * [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))))))) 1.199 * [taylor]: Taking taylor expansion of R in lambda1 1.199 * [backup-simplify]: Simplify R into R 1.200 * [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) 1.200 * [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)) 1.200 * [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 1.200 * [taylor]: Taking taylor expansion of -1 in lambda2 1.200 * [backup-simplify]: Simplify -1 into -1 1.200 * [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 1.200 * [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 1.200 * [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))))))) 1.200 * [taylor]: Taking taylor expansion of R in lambda2 1.200 * [backup-simplify]: Simplify R into R 1.200 * [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) 1.201 * [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)) 1.201 * [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 1.201 * [taylor]: Taking taylor expansion of -1 in R 1.201 * [backup-simplify]: Simplify -1 into -1 1.201 * [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 1.201 * [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 1.201 * [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))))))) 1.201 * [taylor]: Taking taylor expansion of R in R 1.201 * [backup-simplify]: Simplify 0 into 0 1.201 * [backup-simplify]: Simplify 1 into 1 1.201 * [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))))))) 1.202 * [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)))))))) 1.202 * [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)))))))) 1.202 * [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 1.203 * [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 1.203 * [taylor]: Taking taylor expansion of 0 in phi2 1.203 * [backup-simplify]: Simplify 0 into 0 1.203 * [taylor]: Taking taylor expansion of 0 in lambda1 1.203 * [backup-simplify]: Simplify 0 into 0 1.203 * [taylor]: Taking taylor expansion of 0 in lambda2 1.203 * [backup-simplify]: Simplify 0 into 0 1.203 * [taylor]: Taking taylor expansion of 0 in R 1.203 * [backup-simplify]: Simplify 0 into 0 1.203 * [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 1.204 * [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 1.204 * [taylor]: Taking taylor expansion of 0 in lambda1 1.204 * [backup-simplify]: Simplify 0 into 0 1.204 * [taylor]: Taking taylor expansion of 0 in lambda2 1.204 * [backup-simplify]: Simplify 0 into 0 1.204 * [taylor]: Taking taylor expansion of 0 in R 1.204 * [backup-simplify]: Simplify 0 into 0 1.204 * [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 1.205 * [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 1.205 * [taylor]: Taking taylor expansion of 0 in lambda2 1.205 * [backup-simplify]: Simplify 0 into 0 1.205 * [taylor]: Taking taylor expansion of 0 in R 1.205 * [backup-simplify]: Simplify 0 into 0 1.205 * [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 1.206 * [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 1.206 * [taylor]: Taking taylor expansion of 0 in R 1.206 * [backup-simplify]: Simplify 0 into 0 1.207 * [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 1.207 * [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 1.207 * [backup-simplify]: Simplify 0 into 0 1.208 * [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 1.208 * [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 1.208 * [taylor]: Taking taylor expansion of 0 in phi2 1.208 * [backup-simplify]: Simplify 0 into 0 1.208 * [taylor]: Taking taylor expansion of 0 in lambda1 1.209 * [backup-simplify]: Simplify 0 into 0 1.209 * [taylor]: Taking taylor expansion of 0 in lambda2 1.209 * [backup-simplify]: Simplify 0 into 0 1.209 * [taylor]: Taking taylor expansion of 0 in R 1.209 * [backup-simplify]: Simplify 0 into 0 1.209 * [taylor]: Taking taylor expansion of 0 in lambda1 1.209 * [backup-simplify]: Simplify 0 into 0 1.209 * [taylor]: Taking taylor expansion of 0 in lambda2 1.209 * [backup-simplify]: Simplify 0 into 0 1.209 * [taylor]: Taking taylor expansion of 0 in R 1.209 * [backup-simplify]: Simplify 0 into 0 1.209 * [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 1.210 * [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 1.210 * [taylor]: Taking taylor expansion of 0 in lambda1 1.210 * [backup-simplify]: Simplify 0 into 0 1.210 * [taylor]: Taking taylor expansion of 0 in lambda2 1.210 * [backup-simplify]: Simplify 0 into 0 1.210 * [taylor]: Taking taylor expansion of 0 in R 1.210 * [backup-simplify]: Simplify 0 into 0 1.210 * [taylor]: Taking taylor expansion of 0 in lambda2 1.210 * [backup-simplify]: Simplify 0 into 0 1.210 * [taylor]: Taking taylor expansion of 0 in R 1.210 * [backup-simplify]: Simplify 0 into 0 1.210 * [taylor]: Taking taylor expansion of 0 in lambda2 1.210 * [backup-simplify]: Simplify 0 into 0 1.210 * [taylor]: Taking taylor expansion of 0 in R 1.210 * [backup-simplify]: Simplify 0 into 0 1.210 * [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 1.211 * [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 1.211 * [taylor]: Taking taylor expansion of 0 in lambda2 1.211 * [backup-simplify]: Simplify 0 into 0 1.211 * [taylor]: Taking taylor expansion of 0 in R 1.211 * [backup-simplify]: Simplify 0 into 0 1.211 * [taylor]: Taking taylor expansion of 0 in R 1.211 * [backup-simplify]: Simplify 0 into 0 1.211 * [taylor]: Taking taylor expansion of 0 in R 1.211 * [backup-simplify]: Simplify 0 into 0 1.211 * [taylor]: Taking taylor expansion of 0 in R 1.211 * [backup-simplify]: Simplify 0 into 0 1.212 * [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 1.212 * [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 1.213 * [taylor]: Taking taylor expansion of 0 in R 1.213 * [backup-simplify]: Simplify 0 into 0 1.213 * [backup-simplify]: Simplify 0 into 0 1.213 * [backup-simplify]: Simplify 0 into 0 1.213 * [backup-simplify]: Simplify 0 into 0 1.213 * [backup-simplify]: Simplify 0 into 0 1.214 * [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 1.215 * [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 1.215 * [backup-simplify]: Simplify 0 into 0 1.216 * [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) 1.216 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.216 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2)) 1.216 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 1.216 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 1.216 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 1.216 * [taylor]: Taking taylor expansion of phi1 in phi2 1.217 * [backup-simplify]: Simplify phi1 into phi1 1.217 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 1.217 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 1.217 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.217 * [taylor]: Taking taylor expansion of phi2 in phi2 1.217 * [backup-simplify]: Simplify 0 into 0 1.217 * [backup-simplify]: Simplify 1 into 1 1.217 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.217 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.217 * [taylor]: Taking taylor expansion of phi1 in phi1 1.217 * [backup-simplify]: Simplify 0 into 0 1.217 * [backup-simplify]: Simplify 1 into 1 1.217 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.217 * [taylor]: Taking taylor expansion of phi2 in phi1 1.217 * [backup-simplify]: Simplify phi2 into phi2 1.217 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 1.217 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 1.217 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.217 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.217 * [taylor]: Taking taylor expansion of phi1 in phi1 1.217 * [backup-simplify]: Simplify 0 into 0 1.217 * [backup-simplify]: Simplify 1 into 1 1.217 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.217 * [taylor]: Taking taylor expansion of phi2 in phi1 1.217 * [backup-simplify]: Simplify phi2 into phi2 1.217 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 1.217 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 1.218 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 1.218 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 1.218 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 1.218 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 1.218 * [taylor]: Taking taylor expansion of 0 in phi2 1.218 * [backup-simplify]: Simplify 0 into 0 1.218 * [backup-simplify]: Simplify 0 into 0 1.219 * [backup-simplify]: Simplify (+ 0) into 0 1.219 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 1.220 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.220 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 1.221 * [backup-simplify]: Simplify (+ 0 0) into 0 1.221 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.222 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 1.222 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.222 * [taylor]: Taking taylor expansion of phi2 in phi2 1.222 * [backup-simplify]: Simplify 0 into 0 1.222 * [backup-simplify]: Simplify 1 into 1 1.222 * [backup-simplify]: Simplify 0 into 0 1.222 * [backup-simplify]: Simplify 0 into 0 1.223 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.223 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 1.224 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.225 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 1.225 * [backup-simplify]: Simplify (+ 0 0) into 0 1.226 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.227 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 1.227 * [taylor]: Taking taylor expansion of 0 in phi2 1.227 * [backup-simplify]: Simplify 0 into 0 1.227 * [backup-simplify]: Simplify 0 into 0 1.227 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.227 * [backup-simplify]: Simplify 1 into 1 1.228 * [backup-simplify]: Simplify 0 into 0 1.229 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.230 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.231 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.232 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.232 * [backup-simplify]: Simplify (+ 0 0) into 0 1.234 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.235 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 1.235 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 1.235 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 1.235 * [taylor]: Taking taylor expansion of 1/6 in phi2 1.235 * [backup-simplify]: Simplify 1/6 into 1/6 1.235 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.235 * [taylor]: Taking taylor expansion of phi2 in phi2 1.235 * [backup-simplify]: Simplify 0 into 0 1.235 * [backup-simplify]: Simplify 1 into 1 1.236 * [backup-simplify]: Simplify (* 1/6 0) into 0 1.236 * [backup-simplify]: Simplify (- 0) into 0 1.236 * [backup-simplify]: Simplify 0 into 0 1.236 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify 0 into 0 1.239 * [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 1.240 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.242 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.243 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.243 * [backup-simplify]: Simplify (+ 0 0) into 0 1.245 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.247 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 1.247 * [taylor]: Taking taylor expansion of 0 in phi2 1.247 * [backup-simplify]: Simplify 0 into 0 1.247 * [backup-simplify]: Simplify 0 into 0 1.247 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2) 1.247 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 1.247 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0 1.247 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 1.247 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.247 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.247 * [taylor]: Taking taylor expansion of phi2 in phi2 1.247 * [backup-simplify]: Simplify 0 into 0 1.247 * [backup-simplify]: Simplify 1 into 1 1.247 * [backup-simplify]: Simplify (/ 1 1) into 1 1.248 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.248 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.248 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.248 * [taylor]: Taking taylor expansion of phi1 in phi2 1.248 * [backup-simplify]: Simplify phi1 into phi1 1.248 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.248 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.248 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.248 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 1.248 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.248 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.248 * [taylor]: Taking taylor expansion of phi2 in phi1 1.248 * [backup-simplify]: Simplify phi2 into phi2 1.248 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.248 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.248 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.248 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.248 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.248 * [taylor]: Taking taylor expansion of phi1 in phi1 1.248 * [backup-simplify]: Simplify 0 into 0 1.248 * [backup-simplify]: Simplify 1 into 1 1.249 * [backup-simplify]: Simplify (/ 1 1) into 1 1.249 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.249 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 1.249 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.249 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.249 * [taylor]: Taking taylor expansion of phi2 in phi1 1.249 * [backup-simplify]: Simplify phi2 into phi2 1.249 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.249 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.249 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.249 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.249 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.249 * [taylor]: Taking taylor expansion of phi1 in phi1 1.249 * [backup-simplify]: Simplify 0 into 0 1.249 * [backup-simplify]: Simplify 1 into 1 1.250 * [backup-simplify]: Simplify (/ 1 1) into 1 1.250 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.250 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 1.250 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 1.250 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 1.250 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 1.250 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 1.250 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.250 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.250 * [taylor]: Taking taylor expansion of phi2 in phi2 1.250 * [backup-simplify]: Simplify 0 into 0 1.250 * [backup-simplify]: Simplify 1 into 1 1.250 * [backup-simplify]: Simplify (/ 1 1) into 1 1.250 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.250 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.251 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.251 * [taylor]: Taking taylor expansion of phi1 in phi2 1.251 * [backup-simplify]: Simplify phi1 into phi1 1.251 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.251 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.251 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.251 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 1.251 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 1.251 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 1.251 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 1.251 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 1.251 * [backup-simplify]: Simplify (+ 0) into 0 1.252 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 1.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.252 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.253 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 1.253 * [backup-simplify]: Simplify (+ 0 0) into 0 1.253 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 1.253 * [taylor]: Taking taylor expansion of 0 in phi2 1.253 * [backup-simplify]: Simplify 0 into 0 1.253 * [backup-simplify]: Simplify 0 into 0 1.253 * [backup-simplify]: Simplify (+ 0) into 0 1.253 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 1.254 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.254 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.254 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 1.255 * [backup-simplify]: Simplify (+ 0 0) into 0 1.255 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.256 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.256 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.257 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.257 * [backup-simplify]: Simplify (+ 0 0) into 0 1.257 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 1.257 * [taylor]: Taking taylor expansion of 0 in phi2 1.257 * [backup-simplify]: Simplify 0 into 0 1.257 * [backup-simplify]: Simplify 0 into 0 1.257 * [backup-simplify]: Simplify 0 into 0 1.258 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.258 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 1.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.259 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.259 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 1.259 * [backup-simplify]: Simplify (+ 0 0) into 0 1.260 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 1.260 * [backup-simplify]: Simplify 0 into 0 1.260 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.261 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.262 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.262 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.263 * [backup-simplify]: Simplify (+ 0 0) into 0 1.263 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0 1.263 * [taylor]: Taking taylor expansion of 0 in phi2 1.263 * [backup-simplify]: Simplify 0 into 0 1.263 * [backup-simplify]: Simplify 0 into 0 1.263 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2)) 1.264 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.264 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 1.264 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.264 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.264 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.264 * [taylor]: Taking taylor expansion of -1 in phi2 1.264 * [backup-simplify]: Simplify -1 into -1 1.264 * [taylor]: Taking taylor expansion of phi1 in phi2 1.264 * [backup-simplify]: Simplify phi1 into phi1 1.264 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 1.264 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.264 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.264 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.264 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.264 * [taylor]: Taking taylor expansion of -1 in phi2 1.264 * [backup-simplify]: Simplify -1 into -1 1.264 * [taylor]: Taking taylor expansion of phi2 in phi2 1.264 * [backup-simplify]: Simplify 0 into 0 1.264 * [backup-simplify]: Simplify 1 into 1 1.264 * [backup-simplify]: Simplify (/ -1 1) into -1 1.264 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.264 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.264 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.264 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.264 * [taylor]: Taking taylor expansion of -1 in phi1 1.264 * [backup-simplify]: Simplify -1 into -1 1.264 * [taylor]: Taking taylor expansion of phi1 in phi1 1.264 * [backup-simplify]: Simplify 0 into 0 1.264 * [backup-simplify]: Simplify 1 into 1 1.265 * [backup-simplify]: Simplify (/ -1 1) into -1 1.265 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.265 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.265 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.265 * [taylor]: Taking taylor expansion of -1 in phi1 1.265 * [backup-simplify]: Simplify -1 into -1 1.265 * [taylor]: Taking taylor expansion of phi2 in phi1 1.265 * [backup-simplify]: Simplify phi2 into phi2 1.265 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 1.265 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.265 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.265 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.265 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.265 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.265 * [taylor]: Taking taylor expansion of -1 in phi1 1.265 * [backup-simplify]: Simplify -1 into -1 1.265 * [taylor]: Taking taylor expansion of phi1 in phi1 1.265 * [backup-simplify]: Simplify 0 into 0 1.265 * [backup-simplify]: Simplify 1 into 1 1.265 * [backup-simplify]: Simplify (/ -1 1) into -1 1.265 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.265 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.265 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.265 * [taylor]: Taking taylor expansion of -1 in phi1 1.265 * [backup-simplify]: Simplify -1 into -1 1.265 * [taylor]: Taking taylor expansion of phi2 in phi1 1.265 * [backup-simplify]: Simplify phi2 into phi2 1.265 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 1.266 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.266 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.266 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 1.266 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 1.266 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 1.266 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.266 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.266 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.266 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.266 * [taylor]: Taking taylor expansion of -1 in phi2 1.266 * [backup-simplify]: Simplify -1 into -1 1.266 * [taylor]: Taking taylor expansion of phi1 in phi2 1.266 * [backup-simplify]: Simplify phi1 into phi1 1.266 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 1.266 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.266 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.266 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.266 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.266 * [taylor]: Taking taylor expansion of -1 in phi2 1.266 * [backup-simplify]: Simplify -1 into -1 1.266 * [taylor]: Taking taylor expansion of phi2 in phi2 1.266 * [backup-simplify]: Simplify 0 into 0 1.266 * [backup-simplify]: Simplify 1 into 1 1.266 * [backup-simplify]: Simplify (/ -1 1) into -1 1.267 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.267 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 1.267 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 1.267 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 1.267 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.267 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.267 * [backup-simplify]: Simplify (+ 0) into 0 1.267 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 1.268 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 1.268 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.268 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 1.268 * [backup-simplify]: Simplify (+ 0 0) into 0 1.269 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 1.269 * [taylor]: Taking taylor expansion of 0 in phi2 1.269 * [backup-simplify]: Simplify 0 into 0 1.269 * [backup-simplify]: Simplify 0 into 0 1.269 * [backup-simplify]: Simplify (+ 0) into 0 1.269 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 1.269 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 1.270 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.270 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 1.271 * [backup-simplify]: Simplify (+ 0 0) into 0 1.271 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 1.271 * [backup-simplify]: Simplify 0 into 0 1.271 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.272 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.272 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.272 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.273 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.273 * [backup-simplify]: Simplify (+ 0 0) into 0 1.273 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 1.273 * [taylor]: Taking taylor expansion of 0 in phi2 1.273 * [backup-simplify]: Simplify 0 into 0 1.273 * [backup-simplify]: Simplify 0 into 0 1.273 * [backup-simplify]: Simplify 0 into 0 1.274 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.274 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 1.274 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.275 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.275 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 1.275 * [backup-simplify]: Simplify (+ 0 0) into 0 1.276 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 1.276 * [backup-simplify]: Simplify 0 into 0 1.276 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.277 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.277 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.278 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.279 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.280 * [backup-simplify]: Simplify (+ 0 0) into 0 1.280 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 1.280 * [taylor]: Taking taylor expansion of 0 in phi2 1.280 * [backup-simplify]: Simplify 0 into 0 1.281 * [backup-simplify]: Simplify 0 into 0 1.281 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 1.281 * * * [progress]: simplifying candidates 1.281 * * * * [progress]: [ 1 / 71 ] simplifiying candidate # 1.281 * [simplify]: Simplifying (* (cos lambda1) (cos (- lambda2))) 1.282 * * [simplify]: iters left: 5 (6 enodes) 1.283 * * [simplify]: iters left: 4 (20 enodes) 1.285 * * [simplify]: Extracting #0: cost 1 inf + 0 1.285 * * [simplify]: Extracting #1: cost 4 inf + 0 1.285 * * [simplify]: Extracting #2: cost 9 inf + 0 1.285 * * [simplify]: Extracting #3: cost 5 inf + 165 1.285 * * [simplify]: Extracting #4: cost 0 inf + 652 1.285 * [simplify]: Simplified to (* (cos lambda1) (cos lambda2)) 1.285 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) 1.285 * * * * [progress]: [ 2 / 71 ] simplifiying candidate # 1.286 * [simplify]: Simplifying (* (cos lambda1) (cos (- lambda2))) 1.286 * * [simplify]: iters left: 5 (6 enodes) 1.287 * * [simplify]: iters left: 4 (20 enodes) 1.289 * * [simplify]: Extracting #0: cost 1 inf + 0 1.289 * * [simplify]: Extracting #1: cost 4 inf + 0 1.289 * * [simplify]: Extracting #2: cost 9 inf + 0 1.289 * * [simplify]: Extracting #3: cost 5 inf + 165 1.289 * * [simplify]: Extracting #4: cost 0 inf + 652 1.290 * [simplify]: Simplified to (* (cos lambda1) (cos lambda2)) 1.290 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) 1.290 * * * * [progress]: [ 3 / 71 ] simplifiying candidate # 1.290 * [simplify]: Simplifying (* (cos lambda1) (cos lambda2)) 1.290 * * [simplify]: iters left: 3 (5 enodes) 1.291 * * [simplify]: iters left: 2 (16 enodes) 1.293 * * [simplify]: Extracting #0: cost 1 inf + 0 1.293 * * [simplify]: Extracting #1: cost 4 inf + 0 1.293 * * [simplify]: Extracting #2: cost 8 inf + 0 1.293 * * [simplify]: Extracting #3: cost 4 inf + 124 1.293 * * [simplify]: Extracting #4: cost 0 inf + 570 1.293 * [simplify]: Simplified to (* (cos lambda2) (cos lambda1)) 1.293 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2)))))) R)) 1.293 * * * * [progress]: [ 4 / 71 ] simplifiying candidate # 1.293 * * * * [progress]: [ 5 / 71 ] simplifiying candidate # 1.293 * * * * [progress]: [ 6 / 71 ] simplifiying candidate # 1.293 * * * * [progress]: [ 7 / 71 ] simplifiying candidate # 1.293 * * * * [progress]: [ 8 / 71 ] simplifiying candidate # 1.293 * * * * [progress]: [ 9 / 71 ] simplifiying candidate # 1.293 * * * * [progress]: [ 10 / 71 ] simplifiying candidate # 1.294 * * * * [progress]: [ 11 / 71 ] simplifiying candidate #real (real->posit16 (cos (- lambda1 lambda2))))))) R))> 1.294 * * * * [progress]: [ 12 / 71 ] simplifiying candidate # 1.294 * * * * [progress]: [ 13 / 71 ] simplifiying candidate # 1.294 * * * * [progress]: [ 14 / 71 ] simplifiying candidate # 1.294 * * * * [progress]: [ 15 / 71 ] simplifiying candidate # 1.294 * * * * [progress]: [ 16 / 71 ] simplifiying candidate # 1.294 * * * * [progress]: [ 17 / 71 ] simplifiying candidate # 1.294 * * * * [progress]: [ 18 / 71 ] simplifiying candidate # 1.294 * * * * [progress]: [ 19 / 71 ] simplifiying candidate # 1.294 * * * * [progress]: [ 20 / 71 ] simplifiying candidate #real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))> 1.294 * * * * [progress]: [ 21 / 71 ] simplifiying candidate # 1.294 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 1.294 * * [simplify]: iters left: 6 (17 enodes) 1.301 * * [simplify]: iters left: 5 (60 enodes) 1.318 * * [simplify]: iters left: 4 (71 enodes) 1.336 * * [simplify]: iters left: 3 (76 enodes) 1.346 * * [simplify]: Extracting #0: cost 1 inf + 0 1.346 * * [simplify]: Extracting #1: cost 4 inf + 0 1.346 * * [simplify]: Extracting #2: cost 5 inf + 1 1.346 * * [simplify]: Extracting #3: cost 8 inf + 1 1.346 * * [simplify]: Extracting #4: cost 18 inf + 1 1.346 * * [simplify]: Extracting #5: cost 29 inf + 1 1.346 * * [simplify]: Extracting #6: cost 25 inf + 369 1.346 * * [simplify]: Extracting #7: cost 19 inf + 979 1.347 * * [simplify]: Extracting #8: cost 9 inf + 2522 1.347 * * [simplify]: Extracting #9: cost 0 inf + 6397 1.348 * [simplify]: Simplified to (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 1.348 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (pow (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 1)) 1.348 * * * * [progress]: [ 22 / 71 ] simplifiying candidate # 1.348 * * * * [progress]: [ 23 / 71 ] simplifiying candidate # 1.349 * [simplify]: Simplifying (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log R)) 1.349 * * [simplify]: iters left: 6 (19 enodes) 1.352 * * [simplify]: iters left: 5 (66 enodes) 1.361 * * [simplify]: iters left: 4 (77 enodes) 1.376 * * [simplify]: iters left: 3 (82 enodes) 1.390 * * [simplify]: Extracting #0: cost 1 inf + 0 1.390 * * [simplify]: Extracting #1: cost 4 inf + 0 1.390 * * [simplify]: Extracting #2: cost 8 inf + 0 1.390 * * [simplify]: Extracting #3: cost 9 inf + 1 1.390 * * [simplify]: Extracting #4: cost 10 inf + 143 1.390 * * [simplify]: Extracting #5: cost 20 inf + 143 1.391 * * [simplify]: Extracting #6: cost 31 inf + 143 1.391 * * [simplify]: Extracting #7: cost 26 inf + 572 1.391 * * [simplify]: Extracting #8: cost 22 inf + 959 1.391 * * [simplify]: Extracting #9: cost 12 inf + 2825 1.392 * * [simplify]: Extracting #10: cost 3 inf + 5933 1.393 * * [simplify]: Extracting #11: cost 0 inf + 8147 1.394 * [simplify]: Simplified to (+ (log R) (log (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) 1.394 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log R) (log (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))))) 1.394 * * * * [progress]: [ 24 / 71 ] simplifiying candidate # 1.394 * * * * [progress]: [ 25 / 71 ] simplifiying candidate # 1.394 * * * * [progress]: [ 26 / 71 ] simplifiying candidate # 1.394 * [simplify]: Simplifying (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* R R) R)) 1.395 * * [simplify]: iters left: 6 (21 enodes) 1.399 * * [simplify]: iters left: 5 (78 enodes) 1.410 * * [simplify]: iters left: 4 (118 enodes) 1.449 * * [simplify]: iters left: 3 (178 enodes) 1.512 * * [simplify]: iters left: 2 (254 enodes) 1.610 * * [simplify]: iters left: 1 (411 enodes) 1.744 * * [simplify]: Extracting #0: cost 1 inf + 0 1.744 * * [simplify]: Extracting #1: cost 48 inf + 0 1.745 * * [simplify]: Extracting #2: cost 145 inf + 2 1.745 * * [simplify]: Extracting #3: cost 149 inf + 934 1.746 * * [simplify]: Extracting #4: cost 155 inf + 2154 1.747 * * [simplify]: Extracting #5: cost 161 inf + 3374 1.748 * * [simplify]: Extracting #6: cost 154 inf + 4379 1.751 * * [simplify]: Extracting #7: cost 121 inf + 22485 1.764 * * [simplify]: Extracting #8: cost 48 inf + 88157 1.796 * * [simplify]: Extracting #9: cost 1 inf + 137613 1.819 * * [simplify]: Extracting #10: cost 0 inf + 138710 1.843 * [simplify]: Simplified to (* (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) R) (* (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) R) (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) R))) 1.843 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) R) (* (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) R) (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) R))))) 1.843 * * * * [progress]: [ 27 / 71 ] simplifiying candidate # 1.843 * * * * [progress]: [ 28 / 71 ] simplifiying candidate # 1.843 * * * * [progress]: [ 29 / 71 ] simplifiying candidate # 1.843 * * * * [progress]: [ 30 / 71 ] simplifiying candidate # 1.843 * * * * [progress]: [ 31 / 71 ] simplifiying candidate # 1.844 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) 1.844 * * [simplify]: iters left: 6 (19 enodes) 1.847 * * [simplify]: iters left: 5 (66 enodes) 1.856 * * [simplify]: iters left: 4 (77 enodes) 1.869 * * [simplify]: iters left: 3 (82 enodes) 1.889 * * [simplify]: Extracting #0: cost 1 inf + 0 1.889 * * [simplify]: Extracting #1: cost 4 inf + 0 1.889 * * [simplify]: Extracting #2: cost 8 inf + 0 1.889 * * [simplify]: Extracting #3: cost 9 inf + 1 1.889 * * [simplify]: Extracting #4: cost 10 inf + 83 1.890 * * [simplify]: Extracting #5: cost 20 inf + 83 1.890 * * [simplify]: Extracting #6: cost 31 inf + 83 1.890 * * [simplify]: Extracting #7: cost 26 inf + 512 1.890 * * [simplify]: Extracting #8: cost 22 inf + 899 1.891 * * [simplify]: Extracting #9: cost 12 inf + 2765 1.893 * * [simplify]: Extracting #10: cost 3 inf + 5843 1.895 * * [simplify]: Extracting #11: cost 0 inf + 7907 1.897 * [simplify]: Simplified to (* (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (sqrt R)) 1.897 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)))) 1.897 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) 1.897 * * [simplify]: iters left: 6 (19 enodes) 1.905 * * [simplify]: iters left: 5 (66 enodes) 1.921 * * [simplify]: iters left: 4 (77 enodes) 1.931 * * [simplify]: iters left: 3 (82 enodes) 1.940 * * [simplify]: Extracting #0: cost 1 inf + 0 1.940 * * [simplify]: Extracting #1: cost 4 inf + 0 1.940 * * [simplify]: Extracting #2: cost 8 inf + 0 1.940 * * [simplify]: Extracting #3: cost 9 inf + 1 1.941 * * [simplify]: Extracting #4: cost 10 inf + 83 1.941 * * [simplify]: Extracting #5: cost 20 inf + 83 1.941 * * [simplify]: Extracting #6: cost 31 inf + 83 1.941 * * [simplify]: Extracting #7: cost 26 inf + 512 1.941 * * [simplify]: Extracting #8: cost 22 inf + 899 1.941 * * [simplify]: Extracting #9: cost 12 inf + 2765 1.942 * * [simplify]: Extracting #10: cost 3 inf + 5843 1.943 * * [simplify]: Extracting #11: cost 0 inf + 7907 1.944 * [simplify]: Simplified to (* (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (sqrt R)) 1.944 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (sqrt R)))) 1.944 * * * * [progress]: [ 32 / 71 ] simplifiying candidate # 1.944 * [simplify]: Simplifying (cbrt R) 1.945 * * [simplify]: iters left: 1 (2 enodes) 1.945 * * [simplify]: Extracting #0: cost 1 inf + 0 1.945 * * [simplify]: Extracting #1: cost 3 inf + 0 1.945 * * [simplify]: Extracting #2: cost 2 inf + 1 1.945 * * [simplify]: Extracting #3: cost 0 inf + 163 1.945 * [simplify]: Simplified to (cbrt R) 1.945 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (cbrt R))) 1.945 * * * * [progress]: [ 33 / 71 ] simplifiying candidate # 1.945 * [simplify]: Simplifying (sqrt R) 1.945 * * [simplify]: iters left: 1 (2 enodes) 1.946 * * [simplify]: Extracting #0: cost 1 inf + 0 1.946 * * [simplify]: Extracting #1: cost 3 inf + 0 1.946 * * [simplify]: Extracting #2: cost 2 inf + 1 1.946 * * [simplify]: Extracting #3: cost 0 inf + 83 1.946 * [simplify]: Simplified to (sqrt R) 1.946 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (sqrt R))) 1.946 * * * * [progress]: [ 34 / 71 ] simplifiying candidate # 1.946 * * * * [progress]: [ 35 / 71 ] simplifiying candidate # 1.946 * [simplify]: Simplifying (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) 1.946 * * [simplify]: iters left: 6 (17 enodes) 1.950 * * [simplify]: iters left: 5 (59 enodes) 1.965 * * [simplify]: iters left: 4 (70 enodes) 1.984 * * [simplify]: iters left: 3 (76 enodes) 2.002 * * [simplify]: Extracting #0: cost 1 inf + 0 2.002 * * [simplify]: Extracting #1: cost 3 inf + 0 2.002 * * [simplify]: Extracting #2: cost 5 inf + 0 2.003 * * [simplify]: Extracting #3: cost 7 inf + 0 2.003 * * [simplify]: Extracting #4: cost 10 inf + 0 2.003 * * [simplify]: Extracting #5: cost 20 inf + 0 2.003 * * [simplify]: Extracting #6: cost 31 inf + 0 2.003 * * [simplify]: Extracting #7: cost 27 inf + 368 2.003 * * [simplify]: Extracting #8: cost 21 inf + 978 2.004 * * [simplify]: Extracting #9: cost 10 inf + 2724 2.006 * * [simplify]: Extracting #10: cost 0 inf + 7902 2.008 * [simplify]: Simplified to (* (cbrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) 2.008 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R))) 2.008 * * * * [progress]: [ 36 / 71 ] simplifiying candidate # 2.008 * [simplify]: Simplifying (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) 2.008 * * [simplify]: iters left: 6 (16 enodes) 2.015 * * [simplify]: iters left: 5 (56 enodes) 2.031 * * [simplify]: iters left: 4 (67 enodes) 2.050 * * [simplify]: iters left: 3 (73 enodes) 2.069 * * [simplify]: Extracting #0: cost 1 inf + 0 2.069 * * [simplify]: Extracting #1: cost 3 inf + 0 2.069 * * [simplify]: Extracting #2: cost 5 inf + 0 2.069 * * [simplify]: Extracting #3: cost 8 inf + 0 2.069 * * [simplify]: Extracting #4: cost 18 inf + 0 2.069 * * [simplify]: Extracting #5: cost 29 inf + 0 2.070 * * [simplify]: Extracting #6: cost 26 inf + 307 2.070 * * [simplify]: Extracting #7: cost 20 inf + 816 2.071 * * [simplify]: Extracting #8: cost 8 inf + 2825 2.072 * * [simplify]: Extracting #9: cost 1 inf + 5760 2.074 * * [simplify]: Extracting #10: cost 0 inf + 6394 2.076 * [simplify]: Simplified to (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 2.076 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R))) 2.076 * * * * [progress]: [ 37 / 71 ] simplifiying candidate # 2.076 * * * * [progress]: [ 38 / 71 ] simplifiying candidate #real (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))> 2.076 * * * * [progress]: [ 39 / 71 ] simplifiying candidate # 2.076 * * * * [progress]: [ 40 / 71 ] simplifiying candidate # 2.076 * [simplify]: Simplifying (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 2.077 * * [simplify]: iters left: 5 (7 enodes) 2.080 * * [simplify]: iters left: 4 (26 enodes) 2.084 * * [simplify]: iters left: 3 (32 enodes) 2.088 * * [simplify]: Extracting #0: cost 1 inf + 0 2.088 * * [simplify]: Extracting #1: cost 5 inf + 0 2.088 * * [simplify]: Extracting #2: cost 10 inf + 0 2.088 * * [simplify]: Extracting #3: cost 15 inf + 0 2.088 * * [simplify]: Extracting #4: cost 13 inf + 43 2.089 * * [simplify]: Extracting #5: cost 4 inf + 800 2.089 * * [simplify]: Extracting #6: cost 1 inf + 1186 2.089 * * [simplify]: Extracting #7: cost 0 inf + 1428 2.089 * [simplify]: Simplified to (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) 2.089 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) 2) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 2.090 * * * * [progress]: [ 41 / 71 ] simplifiying candidate # 2.090 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 2.090 * * [simplify]: iters left: 3 (5 enodes) 2.091 * * [simplify]: iters left: 2 (16 enodes) 2.093 * * [simplify]: Extracting #0: cost 1 inf + 0 2.093 * * [simplify]: Extracting #1: cost 4 inf + 0 2.093 * * [simplify]: Extracting #2: cost 8 inf + 0 2.093 * * [simplify]: Extracting #3: cost 4 inf + 124 2.093 * * [simplify]: Extracting #4: cost 0 inf + 570 2.093 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 2.093 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi2) (sin phi1)) 1) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 2.093 * * * * [progress]: [ 42 / 71 ] simplifiying candidate # 2.093 * * * * [progress]: [ 43 / 71 ] simplifiying candidate # 2.093 * [simplify]: Simplifying (+ (log (sin phi1)) (log (sin phi2))) 2.094 * * [simplify]: iters left: 4 (7 enodes) 2.095 * * [simplify]: iters left: 3 (22 enodes) 2.098 * * [simplify]: Extracting #0: cost 1 inf + 0 2.098 * * [simplify]: Extracting #1: cost 4 inf + 0 2.098 * * [simplify]: Extracting #2: cost 8 inf + 0 2.098 * * [simplify]: Extracting #3: cost 12 inf + 0 2.098 * * [simplify]: Extracting #4: cost 10 inf + 2 2.098 * * [simplify]: Extracting #5: cost 4 inf + 508 2.098 * * [simplify]: Extracting #6: cost 1 inf + 1072 2.098 * * [simplify]: Extracting #7: cost 0 inf + 1374 2.098 * [simplify]: Simplified to (+ (log (sin phi2)) (log (sin phi1))) 2.098 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (+ (log (sin phi2)) (log (sin phi1)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 2.098 * * * * [progress]: [ 44 / 71 ] simplifiying candidate # 2.099 * * * * [progress]: [ 45 / 71 ] simplifiying candidate # 2.099 * * * * [progress]: [ 46 / 71 ] simplifiying candidate # 2.099 * [simplify]: Simplifying (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) 2.099 * * [simplify]: iters left: 6 (9 enodes) 2.101 * * [simplify]: iters left: 5 (34 enodes) 2.107 * * [simplify]: iters left: 4 (63 enodes) 2.123 * * [simplify]: iters left: 3 (122 enodes) 2.158 * * [simplify]: iters left: 2 (196 enodes) 2.231 * * [simplify]: iters left: 1 (356 enodes) 2.363 * * [simplify]: Extracting #0: cost 1 inf + 0 2.363 * * [simplify]: Extracting #1: cost 70 inf + 0 2.364 * * [simplify]: Extracting #2: cost 169 inf + 1 2.365 * * [simplify]: Extracting #3: cost 154 inf + 2658 2.368 * * [simplify]: Extracting #4: cost 86 inf + 31524 2.384 * * [simplify]: Extracting #5: cost 7 inf + 77226 2.401 * * [simplify]: Extracting #6: cost 0 inf + 81813 2.412 * [simplify]: Simplified to (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1))) 2.412 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 2.412 * * * * [progress]: [ 47 / 71 ] simplifiying candidate # 2.412 * * * * [progress]: [ 48 / 71 ] simplifiying candidate # 2.412 * * * * [progress]: [ 49 / 71 ] simplifiying candidate # 2.412 * * * * [progress]: [ 50 / 71 ] simplifiying candidate # 2.412 * * * * [progress]: [ 51 / 71 ] simplifiying candidate # 2.412 * [simplify]: Simplifying (* (sqrt (sin phi1)) (sqrt (sin phi2))) 2.412 * * [simplify]: iters left: 4 (7 enodes) 2.414 * * [simplify]: iters left: 3 (22 enodes) 2.417 * * [simplify]: Extracting #0: cost 1 inf + 0 2.417 * * [simplify]: Extracting #1: cost 4 inf + 0 2.417 * * [simplify]: Extracting #2: cost 8 inf + 0 2.417 * * [simplify]: Extracting #3: cost 12 inf + 0 2.417 * * [simplify]: Extracting #4: cost 10 inf + 2 2.417 * * [simplify]: Extracting #5: cost 4 inf + 448 2.417 * * [simplify]: Extracting #6: cost 1 inf + 892 2.417 * * [simplify]: Extracting #7: cost 0 inf + 1134 2.417 * [simplify]: Simplified to (* (sqrt (sin phi1)) (sqrt (sin phi2))) 2.417 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 2.418 * [simplify]: Simplifying (* (sqrt (sin phi1)) (sqrt (sin phi2))) 2.418 * * [simplify]: iters left: 4 (7 enodes) 2.419 * * [simplify]: iters left: 3 (22 enodes) 2.422 * * [simplify]: Extracting #0: cost 1 inf + 0 2.422 * * [simplify]: Extracting #1: cost 4 inf + 0 2.422 * * [simplify]: Extracting #2: cost 8 inf + 0 2.422 * * [simplify]: Extracting #3: cost 12 inf + 0 2.422 * * [simplify]: Extracting #4: cost 10 inf + 2 2.422 * * [simplify]: Extracting #5: cost 4 inf + 448 2.422 * * [simplify]: Extracting #6: cost 1 inf + 892 2.422 * * [simplify]: Extracting #7: cost 0 inf + 1134 2.422 * [simplify]: Simplified to (* (sqrt (sin phi1)) (sqrt (sin phi2))) 2.422 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 2.422 * * * * [progress]: [ 52 / 71 ] simplifiying candidate # 2.423 * [simplify]: Simplifying (cbrt (sin phi2)) 2.423 * * [simplify]: iters left: 2 (3 enodes) 2.423 * * [simplify]: iters left: 1 (9 enodes) 2.424 * * [simplify]: Extracting #0: cost 1 inf + 0 2.424 * * [simplify]: Extracting #1: cost 3 inf + 0 2.424 * * [simplify]: Extracting #2: cost 5 inf + 0 2.425 * * [simplify]: Extracting #3: cost 4 inf + 1 2.425 * * [simplify]: Extracting #4: cost 0 inf + 405 2.425 * [simplify]: Simplified to (cbrt (sin phi2)) 2.425 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 2.425 * * * * [progress]: [ 53 / 71 ] simplifiying candidate # 2.425 * [simplify]: Simplifying (sqrt (sin phi2)) 2.425 * * [simplify]: iters left: 2 (3 enodes) 2.426 * * [simplify]: iters left: 1 (9 enodes) 2.427 * * [simplify]: Extracting #0: cost 1 inf + 0 2.427 * * [simplify]: Extracting #1: cost 3 inf + 0 2.427 * * [simplify]: Extracting #2: cost 5 inf + 0 2.427 * * [simplify]: Extracting #3: cost 4 inf + 1 2.427 * * [simplify]: Extracting #4: cost 0 inf + 325 2.427 * [simplify]: Simplified to (sqrt (sin phi2)) 2.427 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (sqrt (sin phi2))) (sqrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 2.427 * * * * [progress]: [ 54 / 71 ] simplifiying candidate # 2.427 * [simplify]: Simplifying (sin phi2) 2.427 * * [simplify]: iters left: 1 (2 enodes) 2.428 * * [simplify]: Extracting #0: cost 1 inf + 0 2.428 * * [simplify]: Extracting #1: cost 3 inf + 0 2.428 * * [simplify]: Extracting #2: cost 2 inf + 1 2.428 * * [simplify]: Extracting #3: cost 0 inf + 123 2.428 * [simplify]: Simplified to (sin phi2) 2.428 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) 1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 2.428 * * * * [progress]: [ 55 / 71 ] simplifiying candidate # 2.428 * [simplify]: Simplifying (* (cbrt (sin phi1)) (cbrt (sin phi1))) 2.428 * * [simplify]: iters left: 4 (4 enodes) 2.429 * * [simplify]: iters left: 3 (12 enodes) 2.430 * * [simplify]: Extracting #0: cost 1 inf + 0 2.430 * * [simplify]: Extracting #1: cost 3 inf + 0 2.430 * * [simplify]: Extracting #2: cost 5 inf + 0 2.431 * * [simplify]: Extracting #3: cost 7 inf + 0 2.431 * * [simplify]: Extracting #4: cost 6 inf + 1 2.431 * * [simplify]: Extracting #5: cost 0 inf + 767 2.431 * [simplify]: Simplified to (* (cbrt (sin phi1)) (cbrt (sin phi1))) 2.431 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 2.431 * * * * [progress]: [ 56 / 71 ] simplifiying candidate # 2.431 * [simplify]: Simplifying (sqrt (sin phi1)) 2.431 * * [simplify]: iters left: 2 (3 enodes) 2.432 * * [simplify]: iters left: 1 (9 enodes) 2.433 * * [simplify]: Extracting #0: cost 1 inf + 0 2.433 * * [simplify]: Extracting #1: cost 3 inf + 0 2.433 * * [simplify]: Extracting #2: cost 5 inf + 0 2.433 * * [simplify]: Extracting #3: cost 4 inf + 1 2.433 * * [simplify]: Extracting #4: cost 0 inf + 325 2.433 * [simplify]: Simplified to (sqrt (sin phi1)) 2.433 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 2.433 * * * * [progress]: [ 57 / 71 ] simplifiying candidate # 2.433 * * * * [progress]: [ 58 / 71 ] simplifiying candidate #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))> 2.433 * * * * [progress]: [ 59 / 71 ] simplifiying candidate # 2.433 * * * * [progress]: [ 60 / 71 ] simplifiying candidate # 2.433 * [simplify]: Simplifying (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) 2.434 * * [simplify]: iters left: 6 (10 enodes) 2.437 * * [simplify]: iters left: 5 (43 enodes) 2.450 * * [simplify]: iters left: 4 (68 enodes) 2.472 * * [simplify]: iters left: 3 (99 enodes) 2.491 * * [simplify]: iters left: 2 (121 enodes) 2.507 * * [simplify]: iters left: 1 (130 enodes) 2.527 * * [simplify]: Extracting #0: cost 1 inf + 0 2.527 * * [simplify]: Extracting #1: cost 15 inf + 0 2.527 * * [simplify]: Extracting #2: cost 30 inf + 2 2.527 * * [simplify]: Extracting #3: cost 30 inf + 130 2.528 * * [simplify]: Extracting #4: cost 12 inf + 1530 2.529 * * [simplify]: Extracting #5: cost 1 inf + 2680 2.531 * * [simplify]: Extracting #6: cost 0 inf + 2843 2.533 * [simplify]: Simplified to (+ (* (+ (* lambda1 -1/2) lambda2) lambda1) 1) 2.533 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (+ (* lambda1 -1/2) lambda2) lambda1) 1)))) R)) 2.533 * * * * [progress]: [ 61 / 71 ] simplifiying candidate # 2.533 * [simplify]: Simplifying (cos (- lambda1 lambda2)) 2.533 * * [simplify]: iters left: 3 (4 enodes) 2.535 * * [simplify]: iters left: 2 (14 enodes) 2.539 * * [simplify]: iters left: 1 (17 enodes) 2.543 * * [simplify]: Extracting #0: cost 1 inf + 0 2.543 * * [simplify]: Extracting #1: cost 3 inf + 0 2.543 * * [simplify]: Extracting #2: cost 7 inf + 0 2.543 * * [simplify]: Extracting #3: cost 5 inf + 43 2.543 * * [simplify]: Extracting #4: cost 0 inf + 372 2.543 * [simplify]: Simplified to (cos (- lambda1 lambda2)) 2.544 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 2.544 * * * * [progress]: [ 62 / 71 ] simplifiying candidate # 2.544 * [simplify]: Simplifying (cos (- lambda1 lambda2)) 2.544 * * [simplify]: iters left: 3 (4 enodes) 2.546 * * [simplify]: iters left: 2 (14 enodes) 2.547 * * [simplify]: iters left: 1 (17 enodes) 2.550 * * [simplify]: Extracting #0: cost 1 inf + 0 2.550 * * [simplify]: Extracting #1: cost 3 inf + 0 2.550 * * [simplify]: Extracting #2: cost 7 inf + 0 2.550 * * [simplify]: Extracting #3: cost 5 inf + 43 2.550 * * [simplify]: Extracting #4: cost 0 inf + 372 2.550 * [simplify]: Simplified to (cos (- lambda1 lambda2)) 2.550 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 2.550 * * * * [progress]: [ 63 / 71 ] simplifiying candidate # 2.550 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 2.550 * * [simplify]: iters left: 6 (15 enodes) 2.553 * * [simplify]: iters left: 5 (53 enodes) 2.560 * * [simplify]: iters left: 4 (64 enodes) 2.569 * * [simplify]: iters left: 3 (69 enodes) 2.579 * * [simplify]: Extracting #0: cost 1 inf + 0 2.579 * * [simplify]: Extracting #1: cost 3 inf + 0 2.579 * * [simplify]: Extracting #2: cost 6 inf + 0 2.579 * * [simplify]: Extracting #3: cost 16 inf + 0 2.579 * * [simplify]: Extracting #4: cost 27 inf + 0 2.579 * * [simplify]: Extracting #5: cost 24 inf + 307 2.580 * * [simplify]: Extracting #6: cost 10 inf + 2175 2.581 * * [simplify]: Extracting #7: cost 0 inf + 5126 2.582 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 2.582 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 2.582 * * * * [progress]: [ 64 / 71 ] simplifiying candidate # 2.583 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 2.583 * * [simplify]: iters left: 6 (15 enodes) 2.586 * * [simplify]: iters left: 5 (53 enodes) 2.593 * * [simplify]: iters left: 4 (64 enodes) 2.601 * * [simplify]: iters left: 3 (69 enodes) 2.609 * * [simplify]: Extracting #0: cost 1 inf + 0 2.609 * * [simplify]: Extracting #1: cost 3 inf + 0 2.609 * * [simplify]: Extracting #2: cost 6 inf + 0 2.609 * * [simplify]: Extracting #3: cost 16 inf + 0 2.609 * * [simplify]: Extracting #4: cost 27 inf + 0 2.609 * * [simplify]: Extracting #5: cost 24 inf + 307 2.610 * * [simplify]: Extracting #6: cost 10 inf + 2175 2.610 * * [simplify]: Extracting #7: cost 0 inf + 5126 2.611 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 2.611 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 2.611 * * * * [progress]: [ 65 / 71 ] simplifiying candidate # 2.611 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 2.611 * * [simplify]: iters left: 6 (15 enodes) 2.615 * * [simplify]: iters left: 5 (53 enodes) 2.629 * * [simplify]: iters left: 4 (64 enodes) 2.646 * * [simplify]: iters left: 3 (69 enodes) 2.663 * * [simplify]: Extracting #0: cost 1 inf + 0 2.664 * * [simplify]: Extracting #1: cost 3 inf + 0 2.664 * * [simplify]: Extracting #2: cost 6 inf + 0 2.664 * * [simplify]: Extracting #3: cost 16 inf + 0 2.664 * * [simplify]: Extracting #4: cost 27 inf + 0 2.664 * * [simplify]: Extracting #5: cost 24 inf + 307 2.665 * * [simplify]: Extracting #6: cost 10 inf + 2175 2.666 * * [simplify]: Extracting #7: cost 0 inf + 5126 2.667 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 2.667 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 2.668 * * * * [progress]: [ 66 / 71 ] simplifiying candidate # 2.668 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 2.668 * * [simplify]: iters left: 6 (17 enodes) 2.672 * * [simplify]: iters left: 5 (60 enodes) 2.681 * * [simplify]: iters left: 4 (71 enodes) 2.690 * * [simplify]: iters left: 3 (76 enodes) 2.699 * * [simplify]: Extracting #0: cost 1 inf + 0 2.699 * * [simplify]: Extracting #1: cost 4 inf + 0 2.699 * * [simplify]: Extracting #2: cost 5 inf + 1 2.699 * * [simplify]: Extracting #3: cost 8 inf + 1 2.699 * * [simplify]: Extracting #4: cost 18 inf + 1 2.699 * * [simplify]: Extracting #5: cost 29 inf + 1 2.699 * * [simplify]: Extracting #6: cost 26 inf + 308 2.699 * * [simplify]: Extracting #7: cost 15 inf + 1931 2.700 * * [simplify]: Extracting #8: cost 2 inf + 5991 2.701 * * [simplify]: Extracting #9: cost 0 inf + 6397 2.702 * [simplify]: Simplified to (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) 2.702 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) 2.702 * * * * [progress]: [ 67 / 71 ] simplifiying candidate # 2.702 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 2.702 * * [simplify]: iters left: 6 (17 enodes) 2.706 * * [simplify]: iters left: 5 (60 enodes) 2.713 * * [simplify]: iters left: 4 (71 enodes) 2.722 * * [simplify]: iters left: 3 (76 enodes) 2.731 * * [simplify]: Extracting #0: cost 1 inf + 0 2.731 * * [simplify]: Extracting #1: cost 4 inf + 0 2.731 * * [simplify]: Extracting #2: cost 5 inf + 1 2.731 * * [simplify]: Extracting #3: cost 8 inf + 1 2.731 * * [simplify]: Extracting #4: cost 18 inf + 1 2.731 * * [simplify]: Extracting #5: cost 29 inf + 1 2.731 * * [simplify]: Extracting #6: cost 26 inf + 308 2.732 * * [simplify]: Extracting #7: cost 15 inf + 1931 2.732 * * [simplify]: Extracting #8: cost 2 inf + 5991 2.733 * * [simplify]: Extracting #9: cost 0 inf + 6397 2.734 * [simplify]: Simplified to (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) 2.734 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) 2.734 * * * * [progress]: [ 68 / 71 ] simplifiying candidate # 2.734 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 2.735 * * [simplify]: iters left: 6 (17 enodes) 2.738 * * [simplify]: iters left: 5 (60 enodes) 2.746 * * [simplify]: iters left: 4 (71 enodes) 2.756 * * [simplify]: iters left: 3 (76 enodes) 2.765 * * [simplify]: Extracting #0: cost 1 inf + 0 2.765 * * [simplify]: Extracting #1: cost 4 inf + 0 2.765 * * [simplify]: Extracting #2: cost 5 inf + 1 2.765 * * [simplify]: Extracting #3: cost 8 inf + 1 2.765 * * [simplify]: Extracting #4: cost 18 inf + 1 2.765 * * [simplify]: Extracting #5: cost 29 inf + 1 2.765 * * [simplify]: Extracting #6: cost 26 inf + 308 2.765 * * [simplify]: Extracting #7: cost 15 inf + 1931 2.766 * * [simplify]: Extracting #8: cost 2 inf + 5991 2.767 * * [simplify]: Extracting #9: cost 0 inf + 6397 2.768 * [simplify]: Simplified to (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) 2.768 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) 2.768 * * * * [progress]: [ 69 / 71 ] simplifiying candidate # 2.768 * [simplify]: Simplifying (* phi1 phi2) 2.768 * * [simplify]: iters left: 2 (3 enodes) 2.769 * * [simplify]: iters left: 1 (10 enodes) 2.770 * * [simplify]: Extracting #0: cost 1 inf + 0 2.770 * * [simplify]: Extracting #1: cost 4 inf + 0 2.770 * * [simplify]: Extracting #2: cost 2 inf + 2 2.770 * * [simplify]: Extracting #3: cost 0 inf + 86 2.770 * [simplify]: Simplified to (* phi1 phi2) 2.770 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* phi1 phi2) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 2.770 * * * * [progress]: [ 70 / 71 ] simplifiying candidate # 2.770 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 2.770 * * [simplify]: iters left: 3 (5 enodes) 2.771 * * [simplify]: iters left: 2 (16 enodes) 2.773 * * [simplify]: Extracting #0: cost 1 inf + 0 2.773 * * [simplify]: Extracting #1: cost 4 inf + 0 2.773 * * [simplify]: Extracting #2: cost 8 inf + 0 2.773 * * [simplify]: Extracting #3: cost 4 inf + 124 2.773 * * [simplify]: Extracting #4: cost 0 inf + 570 2.774 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 2.774 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 2.774 * * * * [progress]: [ 71 / 71 ] simplifiying candidate # 2.774 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 2.774 * * [simplify]: iters left: 3 (5 enodes) 2.775 * * [simplify]: iters left: 2 (16 enodes) 2.777 * * [simplify]: Extracting #0: cost 1 inf + 0 2.777 * * [simplify]: Extracting #1: cost 4 inf + 0 2.777 * * [simplify]: Extracting #2: cost 8 inf + 0 2.777 * * [simplify]: Extracting #3: cost 4 inf + 124 2.777 * * [simplify]: Extracting #4: cost 0 inf + 570 2.777 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 2.777 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 2.777 * * * [progress]: adding candidates to table 4.102 * * [progress]: iteration 2 / 4 4.102 * * * [progress]: picking best candidate 4.230 * * * * [pick]: Picked # 4.230 * * * [progress]: localizing error 4.337 * * * [progress]: generating rewritten candidates 4.337 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 4.339 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 4.345 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 4.362 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2) 4.386 * * * [progress]: generating series expansions 4.386 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 4.387 * [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))))) 4.387 * [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 4.387 * [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 4.388 * [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))))) 4.388 * [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 4.389 * [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))))) 4.389 * [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 4.389 * [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))))) 4.389 * [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 4.390 * [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))))) 4.390 * [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 4.391 * [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))))) 4.391 * [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 4.391 * [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))))) 4.391 * [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 4.392 * [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))))) 4.392 * [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 4.393 * [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))))) 4.393 * [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))))) 4.393 * [taylor]: Taking taylor expansion of 0 in phi2 4.393 * [backup-simplify]: Simplify 0 into 0 4.393 * [taylor]: Taking taylor expansion of 0 in lambda1 4.393 * [backup-simplify]: Simplify 0 into 0 4.393 * [taylor]: Taking taylor expansion of 0 in lambda2 4.393 * [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 4.394 * [taylor]: Taking taylor expansion of 0 in lambda2 4.394 * [backup-simplify]: Simplify 0 into 0 4.394 * [backup-simplify]: Simplify 0 into 0 4.395 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.396 * [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)))))))) 4.396 * [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 4.396 * [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 4.396 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (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)))))))) 4.396 * [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 4.397 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (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)))))))) 4.397 * [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 4.398 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (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)))))))) 4.398 * [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 4.399 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (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)))))))) 4.399 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 4.400 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.400 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 4.401 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.401 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 4.402 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.402 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 4.403 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.403 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.404 * [taylor]: Taking taylor expansion of 0 in phi2 4.404 * [backup-simplify]: Simplify 0 into 0 4.404 * [taylor]: Taking taylor expansion of 0 in lambda1 4.404 * [backup-simplify]: Simplify 0 into 0 4.404 * [taylor]: Taking taylor expansion of 0 in lambda2 4.404 * [backup-simplify]: Simplify 0 into 0 4.404 * [backup-simplify]: Simplify 0 into 0 4.404 * [taylor]: Taking taylor expansion of 0 in lambda1 4.404 * [backup-simplify]: Simplify 0 into 0 4.404 * [taylor]: Taking taylor expansion of 0 in lambda2 4.404 * [backup-simplify]: Simplify 0 into 0 4.404 * [backup-simplify]: Simplify 0 into 0 4.404 * [taylor]: Taking taylor expansion of 0 in lambda2 4.404 * [backup-simplify]: Simplify 0 into 0 4.404 * [backup-simplify]: Simplify 0 into 0 4.404 * [backup-simplify]: Simplify 0 into 0 4.404 * [taylor]: Taking taylor expansion of 0 in phi2 4.404 * [backup-simplify]: Simplify 0 into 0 4.404 * [taylor]: Taking taylor expansion of 0 in lambda1 4.404 * [backup-simplify]: Simplify 0 into 0 4.404 * [taylor]: Taking taylor expansion of 0 in lambda2 4.404 * [backup-simplify]: Simplify 0 into 0 4.404 * [backup-simplify]: Simplify 0 into 0 4.404 * [taylor]: Taking taylor expansion of 0 in lambda1 4.404 * [backup-simplify]: Simplify 0 into 0 4.404 * [taylor]: Taking taylor expansion of 0 in lambda2 4.404 * [backup-simplify]: Simplify 0 into 0 4.404 * [backup-simplify]: Simplify 0 into 0 4.405 * [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))))) 4.406 * [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)))))))) 4.406 * [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 4.406 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 4.407 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 4.407 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 4.407 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 4.407 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 4.407 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 4.407 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 4.408 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 4.408 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 4.408 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 4.408 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 4.409 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 4.409 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 4.409 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 4.409 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 4.410 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 4.410 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 4.410 * [taylor]: Taking taylor expansion of 0 in phi2 4.410 * [backup-simplify]: Simplify 0 into 0 4.410 * [taylor]: Taking taylor expansion of 0 in lambda1 4.410 * [backup-simplify]: Simplify 0 into 0 4.410 * [taylor]: Taking taylor expansion of 0 in lambda2 4.410 * [backup-simplify]: Simplify 0 into 0 4.410 * [backup-simplify]: Simplify 0 into 0 4.410 * [taylor]: Taking taylor expansion of 0 in lambda1 4.410 * [backup-simplify]: Simplify 0 into 0 4.410 * [taylor]: Taking taylor expansion of 0 in lambda2 4.410 * [backup-simplify]: Simplify 0 into 0 4.410 * [backup-simplify]: Simplify 0 into 0 4.410 * [taylor]: Taking taylor expansion of 0 in lambda2 4.410 * [backup-simplify]: Simplify 0 into 0 4.410 * [backup-simplify]: Simplify 0 into 0 4.411 * [backup-simplify]: Simplify 0 into 0 4.411 * [taylor]: Taking taylor expansion of 0 in phi2 4.411 * [backup-simplify]: Simplify 0 into 0 4.411 * [taylor]: Taking taylor expansion of 0 in lambda1 4.411 * [backup-simplify]: Simplify 0 into 0 4.411 * [taylor]: Taking taylor expansion of 0 in lambda2 4.411 * [backup-simplify]: Simplify 0 into 0 4.411 * [backup-simplify]: Simplify 0 into 0 4.411 * [taylor]: Taking taylor expansion of 0 in lambda1 4.411 * [backup-simplify]: Simplify 0 into 0 4.411 * [taylor]: Taking taylor expansion of 0 in lambda2 4.411 * [backup-simplify]: Simplify 0 into 0 4.411 * [backup-simplify]: Simplify 0 into 0 4.411 * [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))))) 4.411 * * * * [progress]: [ 2 / 4 ] generating series at (2) 4.412 * [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)))))) 4.412 * [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 4.412 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R 4.412 * [taylor]: Taking taylor expansion of R in R 4.412 * [backup-simplify]: Simplify 0 into 0 4.412 * [backup-simplify]: Simplify 1 into 1 4.412 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R 4.412 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.412 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 4.412 * [taylor]: Taking taylor expansion of R in lambda2 4.412 * [backup-simplify]: Simplify R into R 4.412 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 4.412 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.412 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 4.412 * [taylor]: Taking taylor expansion of R in lambda1 4.412 * [backup-simplify]: Simplify R into R 4.413 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 4.413 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.413 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 4.413 * [taylor]: Taking taylor expansion of R in phi2 4.413 * [backup-simplify]: Simplify R into R 4.413 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 4.413 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.413 * [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 4.413 * [taylor]: Taking taylor expansion of R in phi1 4.413 * [backup-simplify]: Simplify R into R 4.413 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 4.414 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.414 * [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 4.414 * [taylor]: Taking taylor expansion of R in phi1 4.414 * [backup-simplify]: Simplify R into R 4.414 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 4.414 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.414 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 4.414 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 4.414 * [taylor]: Taking taylor expansion of R in phi2 4.414 * [backup-simplify]: Simplify R into R 4.414 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 4.415 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.415 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 4.415 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 4.415 * [taylor]: Taking taylor expansion of R in lambda1 4.415 * [backup-simplify]: Simplify R into R 4.415 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 4.415 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.416 * [backup-simplify]: Simplify (* 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)))))) 4.416 * [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 4.416 * [taylor]: Taking taylor expansion of R in lambda2 4.416 * [backup-simplify]: Simplify R into R 4.416 * [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 4.416 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.416 * [backup-simplify]: Simplify (* 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)))))) 4.416 * [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 4.417 * [taylor]: Taking taylor expansion of R in R 4.417 * [backup-simplify]: Simplify 0 into 0 4.417 * [backup-simplify]: Simplify 1 into 1 4.417 * [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 4.417 * [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))))) 4.417 * [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 4.417 * [backup-simplify]: Simplify 0 into 0 4.418 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 4.418 * [taylor]: Taking taylor expansion of 0 in phi2 4.418 * [backup-simplify]: Simplify 0 into 0 4.418 * [taylor]: Taking taylor expansion of 0 in lambda1 4.418 * [backup-simplify]: Simplify 0 into 0 4.418 * [taylor]: Taking taylor expansion of 0 in lambda2 4.418 * [backup-simplify]: Simplify 0 into 0 4.418 * [taylor]: Taking taylor expansion of 0 in R 4.418 * [backup-simplify]: Simplify 0 into 0 4.418 * [backup-simplify]: Simplify 0 into 0 4.418 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 4.418 * [taylor]: Taking taylor expansion of 0 in lambda1 4.418 * [backup-simplify]: Simplify 0 into 0 4.418 * [taylor]: Taking taylor expansion of 0 in lambda2 4.418 * [backup-simplify]: Simplify 0 into 0 4.418 * [taylor]: Taking taylor expansion of 0 in R 4.418 * [backup-simplify]: Simplify 0 into 0 4.418 * [backup-simplify]: Simplify 0 into 0 4.419 * [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 4.419 * [taylor]: Taking taylor expansion of 0 in lambda2 4.419 * [backup-simplify]: Simplify 0 into 0 4.419 * [taylor]: Taking taylor expansion of 0 in R 4.419 * [backup-simplify]: Simplify 0 into 0 4.419 * [backup-simplify]: Simplify 0 into 0 4.419 * [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 4.419 * [taylor]: Taking taylor expansion of 0 in R 4.419 * [backup-simplify]: Simplify 0 into 0 4.419 * [backup-simplify]: Simplify 0 into 0 4.420 * [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))))) 4.420 * [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))))) 4.421 * [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 4.421 * [taylor]: Taking taylor expansion of 0 in phi2 4.422 * [backup-simplify]: Simplify 0 into 0 4.422 * [taylor]: Taking taylor expansion of 0 in lambda1 4.422 * [backup-simplify]: Simplify 0 into 0 4.422 * [taylor]: Taking taylor expansion of 0 in lambda2 4.422 * [backup-simplify]: Simplify 0 into 0 4.422 * [taylor]: Taking taylor expansion of 0 in R 4.422 * [backup-simplify]: Simplify 0 into 0 4.422 * [backup-simplify]: Simplify 0 into 0 4.422 * [taylor]: Taking taylor expansion of 0 in lambda1 4.422 * [backup-simplify]: Simplify 0 into 0 4.422 * [taylor]: Taking taylor expansion of 0 in lambda2 4.422 * [backup-simplify]: Simplify 0 into 0 4.422 * [taylor]: Taking taylor expansion of 0 in R 4.422 * [backup-simplify]: Simplify 0 into 0 4.422 * [backup-simplify]: Simplify 0 into 0 4.422 * [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 4.422 * [taylor]: Taking taylor expansion of 0 in lambda1 4.422 * [backup-simplify]: Simplify 0 into 0 4.422 * [taylor]: Taking taylor expansion of 0 in lambda2 4.423 * [backup-simplify]: Simplify 0 into 0 4.423 * [taylor]: Taking taylor expansion of 0 in R 4.423 * [backup-simplify]: Simplify 0 into 0 4.423 * [backup-simplify]: Simplify 0 into 0 4.423 * [taylor]: Taking taylor expansion of 0 in lambda2 4.423 * [backup-simplify]: Simplify 0 into 0 4.423 * [taylor]: Taking taylor expansion of 0 in R 4.423 * [backup-simplify]: Simplify 0 into 0 4.423 * [backup-simplify]: Simplify 0 into 0 4.423 * [taylor]: Taking taylor expansion of 0 in lambda2 4.423 * [backup-simplify]: Simplify 0 into 0 4.423 * [taylor]: Taking taylor expansion of 0 in R 4.423 * [backup-simplify]: Simplify 0 into 0 4.423 * [backup-simplify]: Simplify 0 into 0 4.423 * [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 4.423 * [taylor]: Taking taylor expansion of 0 in lambda2 4.423 * [backup-simplify]: Simplify 0 into 0 4.423 * [taylor]: Taking taylor expansion of 0 in R 4.423 * [backup-simplify]: Simplify 0 into 0 4.424 * [backup-simplify]: Simplify 0 into 0 4.424 * [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)))))) 4.425 * [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) 4.425 * [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 4.425 * [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 4.425 * [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 4.425 * [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 R 4.425 * [backup-simplify]: Simplify 0 into 0 4.425 * [backup-simplify]: Simplify 1 into 1 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)))))))) 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)))))))) 4.426 * [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 4.426 * [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)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.426 * [taylor]: Taking taylor expansion of R in lambda2 4.426 * [backup-simplify]: Simplify R into R 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)))))))) 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) 4.427 * [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 4.427 * [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 4.427 * [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 lambda1 4.427 * [backup-simplify]: Simplify R into R 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)))))))) 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 phi2 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 phi2 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)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.428 * [taylor]: Taking taylor expansion of R in phi2 4.428 * [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 phi1 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 phi1 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 phi1 4.429 * [backup-simplify]: Simplify R into 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)))))))) 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) 4.429 * [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 4.429 * [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 4.430 * [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)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.430 * [taylor]: Taking taylor expansion of R in phi1 4.430 * [backup-simplify]: Simplify R into R 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)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 4.430 * [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 4.430 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 4.431 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.431 * [taylor]: Taking taylor expansion of R in phi2 4.431 * [backup-simplify]: Simplify R into R 4.431 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 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) 4.431 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1 4.431 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 4.432 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.432 * [taylor]: Taking taylor expansion of R in lambda1 4.432 * [backup-simplify]: Simplify R into R 4.432 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 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) 4.432 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2 4.432 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 4.433 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.433 * [taylor]: Taking taylor expansion of R in lambda2 4.433 * [backup-simplify]: Simplify R into R 4.433 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 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) 4.433 * [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 4.433 * [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 4.433 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.433 * [taylor]: Taking taylor expansion of R in R 4.434 * [backup-simplify]: Simplify 0 into 0 4.434 * [backup-simplify]: Simplify 1 into 1 4.434 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 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)))))))) 4.435 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.436 * [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 4.436 * [taylor]: Taking taylor expansion of 0 in phi2 4.436 * [backup-simplify]: Simplify 0 into 0 4.436 * [taylor]: Taking taylor expansion of 0 in lambda1 4.436 * [backup-simplify]: Simplify 0 into 0 4.436 * [taylor]: Taking taylor expansion of 0 in lambda2 4.436 * [backup-simplify]: Simplify 0 into 0 4.436 * [taylor]: Taking taylor expansion of 0 in R 4.436 * [backup-simplify]: Simplify 0 into 0 4.437 * [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 4.437 * [taylor]: Taking taylor expansion of 0 in lambda1 4.437 * [backup-simplify]: Simplify 0 into 0 4.437 * [taylor]: Taking taylor expansion of 0 in lambda2 4.437 * [backup-simplify]: Simplify 0 into 0 4.437 * [taylor]: Taking taylor expansion of 0 in R 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)))) into 0 4.438 * [taylor]: Taking taylor expansion of 0 in lambda2 4.438 * [backup-simplify]: Simplify 0 into 0 4.438 * [taylor]: Taking taylor expansion of 0 in R 4.439 * [backup-simplify]: Simplify 0 into 0 4.439 * [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 4.439 * [taylor]: Taking taylor expansion of 0 in R 4.440 * [backup-simplify]: Simplify 0 into 0 4.441 * [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 4.441 * [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 4.443 * [taylor]: Taking taylor expansion of 0 in phi2 4.443 * [backup-simplify]: Simplify 0 into 0 4.443 * [taylor]: Taking taylor expansion of 0 in lambda1 4.443 * [backup-simplify]: Simplify 0 into 0 4.443 * [taylor]: Taking taylor expansion of 0 in lambda2 4.443 * [backup-simplify]: Simplify 0 into 0 4.443 * [taylor]: Taking taylor expansion of 0 in R 4.443 * [backup-simplify]: Simplify 0 into 0 4.443 * [taylor]: Taking taylor expansion of 0 in lambda1 4.443 * [backup-simplify]: Simplify 0 into 0 4.443 * [taylor]: Taking taylor expansion of 0 in lambda2 4.443 * [backup-simplify]: Simplify 0 into 0 4.443 * [taylor]: Taking taylor expansion of 0 in R 4.443 * [backup-simplify]: Simplify 0 into 0 4.444 * [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 4.444 * [taylor]: Taking taylor expansion of 0 in lambda1 4.444 * [backup-simplify]: Simplify 0 into 0 4.444 * [taylor]: Taking taylor expansion of 0 in lambda2 4.444 * [backup-simplify]: Simplify 0 into 0 4.444 * [taylor]: Taking taylor expansion of 0 in R 4.444 * [backup-simplify]: Simplify 0 into 0 4.444 * [taylor]: Taking taylor expansion of 0 in lambda2 4.444 * [backup-simplify]: Simplify 0 into 0 4.444 * [taylor]: Taking taylor expansion of 0 in R 4.444 * [backup-simplify]: Simplify 0 into 0 4.444 * [taylor]: Taking taylor expansion of 0 in lambda2 4.444 * [backup-simplify]: Simplify 0 into 0 4.444 * [taylor]: Taking taylor expansion of 0 in R 4.444 * [backup-simplify]: Simplify 0 into 0 4.445 * [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 4.445 * [taylor]: Taking taylor expansion of 0 in lambda2 4.445 * [backup-simplify]: Simplify 0 into 0 4.445 * [taylor]: Taking taylor expansion of 0 in R 4.446 * [backup-simplify]: Simplify 0 into 0 4.446 * [taylor]: Taking taylor expansion of 0 in R 4.446 * [backup-simplify]: Simplify 0 into 0 4.446 * [taylor]: Taking taylor expansion of 0 in R 4.446 * [backup-simplify]: Simplify 0 into 0 4.446 * [taylor]: Taking taylor expansion of 0 in R 4.446 * [backup-simplify]: Simplify 0 into 0 4.447 * [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 4.447 * [taylor]: Taking taylor expansion of 0 in R 4.447 * [backup-simplify]: Simplify 0 into 0 4.447 * [backup-simplify]: Simplify 0 into 0 4.447 * [backup-simplify]: Simplify 0 into 0 4.447 * [backup-simplify]: Simplify 0 into 0 4.447 * [backup-simplify]: Simplify 0 into 0 4.450 * [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 4.450 * [backup-simplify]: Simplify 0 into 0 4.452 * [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) 4.453 * [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)) 4.453 * [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 4.453 * [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 R 4.453 * [taylor]: Taking taylor expansion of -1 in R 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 R 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 R 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 R 4.454 * [backup-simplify]: Simplify 0 into 0 4.454 * [backup-simplify]: Simplify 1 into 1 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)))))))) 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)))))))) 4.455 * [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 lambda2 4.455 * [taylor]: Taking taylor expansion of -1 in lambda2 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 lambda2 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 lambda2 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 lambda2 4.456 * [backup-simplify]: Simplify R into R 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 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 lambda1 4.457 * [taylor]: Taking taylor expansion of -1 in lambda1 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 lambda1 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 lambda1 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 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 lambda1 4.458 * [backup-simplify]: Simplify R into R 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 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) 4.459 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi2 4.459 * [taylor]: Taking taylor expansion of -1 in phi2 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 phi2 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 phi2 4.460 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 4.460 * [taylor]: Taking taylor expansion of R in phi2 4.460 * [backup-simplify]: Simplify R into R 4.461 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 4.461 * [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 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1 4.461 * [taylor]: Taking taylor expansion of -1 in phi1 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 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1 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 phi2)) (cos (/ -1 lambda2)))))))) in phi1 4.462 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 4.462 * [taylor]: Taking taylor expansion of R in phi1 4.462 * [backup-simplify]: Simplify R into R 4.463 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 4.463 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1 4.463 * [taylor]: Taking taylor expansion of -1 in phi1 4.463 * [backup-simplify]: Simplify -1 into -1 4.463 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1 4.463 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 4.464 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 4.464 * [taylor]: Taking taylor expansion of R in phi1 4.464 * [backup-simplify]: Simplify R into R 4.465 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 4.466 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) 4.466 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in phi2 4.466 * [taylor]: Taking taylor expansion of -1 in phi2 4.466 * [backup-simplify]: Simplify -1 into -1 4.466 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in phi2 4.466 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 4.467 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 4.467 * [taylor]: Taking taylor expansion of R in phi2 4.467 * [backup-simplify]: Simplify R into R 4.468 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 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) 4.469 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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)) 4.469 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1 4.469 * [taylor]: Taking taylor expansion of -1 in lambda1 4.469 * [backup-simplify]: Simplify -1 into -1 4.469 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1 4.469 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 4.473 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 4.473 * [taylor]: Taking taylor expansion of R in lambda1 4.473 * [backup-simplify]: Simplify R into R 4.474 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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) 4.475 * [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)) 4.475 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in lambda2 4.475 * [taylor]: Taking taylor expansion of -1 in lambda2 4.475 * [backup-simplify]: Simplify -1 into -1 4.475 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in lambda2 4.475 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 4.476 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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)))))))) 4.476 * [taylor]: Taking taylor expansion of R in lambda2 4.476 * [backup-simplify]: Simplify R into R 4.477 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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) 4.478 * [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)) 4.478 * [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 4.478 * [taylor]: Taking taylor expansion of -1 in R 4.478 * [backup-simplify]: Simplify -1 into -1 4.478 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 4.479 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R 4.480 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 4.480 * [taylor]: Taking taylor expansion of R in R 4.480 * [backup-simplify]: Simplify 0 into 0 4.480 * [backup-simplify]: Simplify 1 into 1 4.481 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 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)))))))) 4.482 * [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))))))))) 4.483 * [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))))))))) 4.484 * [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 4.486 * [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 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0 4.486 * [taylor]: Taking taylor expansion of 0 in phi2 4.486 * [backup-simplify]: Simplify 0 into 0 4.486 * [taylor]: Taking taylor expansion of 0 in lambda1 4.486 * [backup-simplify]: Simplify 0 into 0 4.486 * [taylor]: Taking taylor expansion of 0 in lambda2 4.486 * [backup-simplify]: Simplify 0 into 0 4.486 * [taylor]: Taking taylor expansion of 0 in R 4.486 * [backup-simplify]: Simplify 0 into 0 4.487 * [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 4.489 * [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 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0 4.489 * [taylor]: Taking taylor expansion of 0 in lambda1 4.489 * [backup-simplify]: Simplify 0 into 0 4.489 * [taylor]: Taking taylor expansion of 0 in lambda2 4.489 * [backup-simplify]: Simplify 0 into 0 4.489 * [taylor]: Taking taylor expansion of 0 in R 4.489 * [backup-simplify]: Simplify 0 into 0 4.490 * [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 4.492 * [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 4.492 * [taylor]: Taking taylor expansion of 0 in lambda2 4.492 * [backup-simplify]: Simplify 0 into 0 4.492 * [taylor]: Taking taylor expansion of 0 in R 4.492 * [backup-simplify]: Simplify 0 into 0 4.493 * [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 4.495 * [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 4.495 * [taylor]: Taking taylor expansion of 0 in R 4.495 * [backup-simplify]: Simplify 0 into 0 4.497 * [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 4.498 * [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 4.498 * [backup-simplify]: Simplify 0 into 0 4.499 * [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 4.501 * [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 4.501 * [taylor]: Taking taylor expansion of 0 in phi2 4.501 * [backup-simplify]: Simplify 0 into 0 4.501 * [taylor]: Taking taylor expansion of 0 in lambda1 4.501 * [backup-simplify]: Simplify 0 into 0 4.501 * [taylor]: Taking taylor expansion of 0 in lambda2 4.501 * [backup-simplify]: Simplify 0 into 0 4.501 * [taylor]: Taking taylor expansion of 0 in R 4.501 * [backup-simplify]: Simplify 0 into 0 4.501 * [taylor]: Taking taylor expansion of 0 in lambda1 4.501 * [backup-simplify]: Simplify 0 into 0 4.501 * [taylor]: Taking taylor expansion of 0 in lambda2 4.501 * [backup-simplify]: Simplify 0 into 0 4.501 * [taylor]: Taking taylor expansion of 0 in R 4.501 * [backup-simplify]: Simplify 0 into 0 4.502 * [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 4.504 * [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 4.504 * [taylor]: Taking taylor expansion of 0 in lambda1 4.504 * [backup-simplify]: Simplify 0 into 0 4.504 * [taylor]: Taking taylor expansion of 0 in lambda2 4.504 * [backup-simplify]: Simplify 0 into 0 4.504 * [taylor]: Taking taylor expansion of 0 in R 4.505 * [backup-simplify]: Simplify 0 into 0 4.505 * [taylor]: Taking taylor expansion of 0 in lambda2 4.505 * [backup-simplify]: Simplify 0 into 0 4.505 * [taylor]: Taking taylor expansion of 0 in R 4.505 * [backup-simplify]: Simplify 0 into 0 4.505 * [taylor]: Taking taylor expansion of 0 in lambda2 4.505 * [backup-simplify]: Simplify 0 into 0 4.505 * [taylor]: Taking taylor expansion of 0 in R 4.505 * [backup-simplify]: Simplify 0 into 0 4.506 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) 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)))))))) R)))) into 0 4.508 * [taylor]: Taking taylor expansion of 0 in lambda2 4.508 * [backup-simplify]: Simplify 0 into 0 4.508 * [taylor]: Taking taylor expansion of 0 in R 4.508 * [backup-simplify]: Simplify 0 into 0 4.508 * [taylor]: Taking taylor expansion of 0 in R 4.508 * [backup-simplify]: Simplify 0 into 0 4.508 * [taylor]: Taking taylor expansion of 0 in R 4.508 * [backup-simplify]: Simplify 0 into 0 4.508 * [taylor]: Taking taylor expansion of 0 in R 4.508 * [backup-simplify]: Simplify 0 into 0 4.510 * [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 4.512 * [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 4.512 * [taylor]: Taking taylor expansion of 0 in R 4.512 * [backup-simplify]: Simplify 0 into 0 4.512 * [backup-simplify]: Simplify 0 into 0 4.512 * [backup-simplify]: Simplify 0 into 0 4.512 * [backup-simplify]: Simplify 0 into 0 4.512 * [backup-simplify]: Simplify 0 into 0 4.515 * [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 4.516 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))))) into 0 4.516 * [backup-simplify]: Simplify 0 into 0 4.518 * [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)))))) 4.518 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 4.519 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2)) 4.519 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 4.519 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 4.519 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 4.519 * [taylor]: Taking taylor expansion of phi1 in phi2 4.519 * [backup-simplify]: Simplify phi1 into phi1 4.519 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 4.519 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 4.519 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 4.519 * [taylor]: Taking taylor expansion of phi2 in phi2 4.519 * [backup-simplify]: Simplify 0 into 0 4.519 * [backup-simplify]: Simplify 1 into 1 4.519 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 4.519 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 4.519 * [taylor]: Taking taylor expansion of phi1 in phi1 4.519 * [backup-simplify]: Simplify 0 into 0 4.519 * [backup-simplify]: Simplify 1 into 1 4.519 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 4.519 * [taylor]: Taking taylor expansion of phi2 in phi1 4.519 * [backup-simplify]: Simplify phi2 into phi2 4.519 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 4.519 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 4.519 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 4.519 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 4.519 * [taylor]: Taking taylor expansion of phi1 in phi1 4.519 * [backup-simplify]: Simplify 0 into 0 4.519 * [backup-simplify]: Simplify 1 into 1 4.519 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 4.519 * [taylor]: Taking taylor expansion of phi2 in phi1 4.519 * [backup-simplify]: Simplify phi2 into phi2 4.520 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 4.520 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 4.520 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 4.520 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 4.520 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 4.520 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 4.520 * [taylor]: Taking taylor expansion of 0 in phi2 4.520 * [backup-simplify]: Simplify 0 into 0 4.520 * [backup-simplify]: Simplify 0 into 0 4.521 * [backup-simplify]: Simplify (+ 0) into 0 4.521 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 4.522 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.522 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 4.523 * [backup-simplify]: Simplify (+ 0 0) into 0 4.524 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.524 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 4.524 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 4.524 * [taylor]: Taking taylor expansion of phi2 in phi2 4.524 * [backup-simplify]: Simplify 0 into 0 4.524 * [backup-simplify]: Simplify 1 into 1 4.524 * [backup-simplify]: Simplify 0 into 0 4.524 * [backup-simplify]: Simplify 0 into 0 4.525 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.526 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 4.527 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.527 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 4.528 * [backup-simplify]: Simplify (+ 0 0) into 0 4.528 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.529 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 4.529 * [taylor]: Taking taylor expansion of 0 in phi2 4.529 * [backup-simplify]: Simplify 0 into 0 4.529 * [backup-simplify]: Simplify 0 into 0 4.530 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.530 * [backup-simplify]: Simplify 1 into 1 4.530 * [backup-simplify]: Simplify 0 into 0 4.531 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.532 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.534 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.535 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.535 * [backup-simplify]: Simplify (+ 0 0) into 0 4.536 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 4.538 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 4.538 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 4.538 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 4.538 * [taylor]: Taking taylor expansion of 1/6 in phi2 4.538 * [backup-simplify]: Simplify 1/6 into 1/6 4.538 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 4.538 * [taylor]: Taking taylor expansion of phi2 in phi2 4.538 * [backup-simplify]: Simplify 0 into 0 4.538 * [backup-simplify]: Simplify 1 into 1 4.538 * [backup-simplify]: Simplify (* 1/6 0) into 0 4.539 * [backup-simplify]: Simplify (- 0) into 0 4.539 * [backup-simplify]: Simplify 0 into 0 4.539 * [backup-simplify]: Simplify 0 into 0 4.540 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.540 * [backup-simplify]: Simplify 0 into 0 4.540 * [backup-simplify]: Simplify 0 into 0 4.542 * [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 4.543 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.545 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.546 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 4.546 * [backup-simplify]: Simplify (+ 0 0) into 0 4.547 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.549 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 4.549 * [taylor]: Taking taylor expansion of 0 in phi2 4.549 * [backup-simplify]: Simplify 0 into 0 4.549 * [backup-simplify]: Simplify 0 into 0 4.549 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2) 4.550 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 4.550 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0 4.550 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 4.550 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 4.550 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 4.550 * [taylor]: Taking taylor expansion of phi2 in phi2 4.550 * [backup-simplify]: Simplify 0 into 0 4.550 * [backup-simplify]: Simplify 1 into 1 4.550 * [backup-simplify]: Simplify (/ 1 1) into 1 4.550 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 4.550 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 4.550 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 4.550 * [taylor]: Taking taylor expansion of phi1 in phi2 4.550 * [backup-simplify]: Simplify phi1 into phi1 4.551 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 4.551 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 4.551 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 4.551 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 4.551 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 4.551 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 4.551 * [taylor]: Taking taylor expansion of phi2 in phi1 4.551 * [backup-simplify]: Simplify phi2 into phi2 4.551 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 4.551 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 4.551 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 4.551 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 4.551 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 4.551 * [taylor]: Taking taylor expansion of phi1 in phi1 4.551 * [backup-simplify]: Simplify 0 into 0 4.551 * [backup-simplify]: Simplify 1 into 1 4.552 * [backup-simplify]: Simplify (/ 1 1) into 1 4.552 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 4.552 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 4.552 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 4.552 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 4.552 * [taylor]: Taking taylor expansion of phi2 in phi1 4.552 * [backup-simplify]: Simplify phi2 into phi2 4.552 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 4.552 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 4.552 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 4.552 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 4.552 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 4.552 * [taylor]: Taking taylor expansion of phi1 in phi1 4.552 * [backup-simplify]: Simplify 0 into 0 4.552 * [backup-simplify]: Simplify 1 into 1 4.552 * [backup-simplify]: Simplify (/ 1 1) into 1 4.553 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 4.553 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 4.553 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 4.553 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 4.553 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 4.553 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 4.553 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 4.553 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 4.553 * [taylor]: Taking taylor expansion of phi2 in phi2 4.553 * [backup-simplify]: Simplify 0 into 0 4.553 * [backup-simplify]: Simplify 1 into 1 4.554 * [backup-simplify]: Simplify (/ 1 1) into 1 4.554 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 4.554 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 4.554 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 4.554 * [taylor]: Taking taylor expansion of phi1 in phi2 4.554 * [backup-simplify]: Simplify phi1 into phi1 4.554 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 4.554 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 4.554 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 4.554 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 4.554 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 4.554 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 4.554 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 4.554 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 4.555 * [backup-simplify]: Simplify (+ 0) into 0 4.555 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 4.556 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 4.557 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.557 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 4.557 * [backup-simplify]: Simplify (+ 0 0) into 0 4.558 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 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 (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 4.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 4.560 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.560 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 4.560 * [backup-simplify]: Simplify (+ 0 0) into 0 4.561 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 4.561 * [backup-simplify]: Simplify 0 into 0 4.562 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.562 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 4.563 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 4.563 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.564 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 4.564 * [backup-simplify]: Simplify (+ 0 0) into 0 4.565 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 4.565 * [taylor]: Taking taylor expansion of 0 in phi2 4.565 * [backup-simplify]: Simplify 0 into 0 4.565 * [backup-simplify]: Simplify 0 into 0 4.565 * [backup-simplify]: Simplify 0 into 0 4.566 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.567 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 4.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 4.568 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.568 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 4.569 * [backup-simplify]: Simplify (+ 0 0) into 0 4.569 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 4.569 * [backup-simplify]: Simplify 0 into 0 4.571 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.572 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.572 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 4.573 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.574 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.574 * [backup-simplify]: Simplify (+ 0 0) into 0 4.575 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0 4.575 * [taylor]: Taking taylor expansion of 0 in phi2 4.575 * [backup-simplify]: Simplify 0 into 0 4.575 * [backup-simplify]: Simplify 0 into 0 4.575 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2)) 4.576 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 4.576 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 4.576 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 4.576 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 4.576 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 4.576 * [taylor]: Taking taylor expansion of -1 in phi2 4.576 * [backup-simplify]: Simplify -1 into -1 4.576 * [taylor]: Taking taylor expansion of phi1 in phi2 4.576 * [backup-simplify]: Simplify phi1 into phi1 4.576 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 4.576 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 4.576 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 4.576 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 4.576 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 4.576 * [taylor]: Taking taylor expansion of -1 in phi2 4.576 * [backup-simplify]: Simplify -1 into -1 4.576 * [taylor]: Taking taylor expansion of phi2 in phi2 4.576 * [backup-simplify]: Simplify 0 into 0 4.576 * [backup-simplify]: Simplify 1 into 1 4.577 * [backup-simplify]: Simplify (/ -1 1) into -1 4.577 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 4.577 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 4.577 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 4.577 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 4.577 * [taylor]: Taking taylor expansion of -1 in phi1 4.577 * [backup-simplify]: Simplify -1 into -1 4.577 * [taylor]: Taking taylor expansion of phi1 in phi1 4.577 * [backup-simplify]: Simplify 0 into 0 4.577 * [backup-simplify]: Simplify 1 into 1 4.578 * [backup-simplify]: Simplify (/ -1 1) into -1 4.578 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 4.578 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 4.578 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 4.578 * [taylor]: Taking taylor expansion of -1 in phi1 4.578 * [backup-simplify]: Simplify -1 into -1 4.578 * [taylor]: Taking taylor expansion of phi2 in phi1 4.578 * [backup-simplify]: Simplify phi2 into phi2 4.578 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 4.578 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 4.578 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 4.578 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 4.578 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 4.578 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 4.578 * [taylor]: Taking taylor expansion of -1 in phi1 4.578 * [backup-simplify]: Simplify -1 into -1 4.578 * [taylor]: Taking taylor expansion of phi1 in phi1 4.578 * [backup-simplify]: Simplify 0 into 0 4.578 * [backup-simplify]: Simplify 1 into 1 4.579 * [backup-simplify]: Simplify (/ -1 1) into -1 4.579 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 4.579 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 4.579 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 4.579 * [taylor]: Taking taylor expansion of -1 in phi1 4.579 * [backup-simplify]: Simplify -1 into -1 4.579 * [taylor]: Taking taylor expansion of phi2 in phi1 4.579 * [backup-simplify]: Simplify phi2 into phi2 4.579 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 4.579 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 4.579 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 4.579 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 4.579 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 4.579 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 4.580 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 4.580 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 4.580 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 4.580 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 4.580 * [taylor]: Taking taylor expansion of -1 in phi2 4.580 * [backup-simplify]: Simplify -1 into -1 4.580 * [taylor]: Taking taylor expansion of phi1 in phi2 4.580 * [backup-simplify]: Simplify phi1 into phi1 4.580 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 4.580 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 4.580 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 4.580 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 4.580 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 4.580 * [taylor]: Taking taylor expansion of -1 in phi2 4.580 * [backup-simplify]: Simplify -1 into -1 4.580 * [taylor]: Taking taylor expansion of phi2 in phi2 4.580 * [backup-simplify]: Simplify 0 into 0 4.580 * [backup-simplify]: Simplify 1 into 1 4.581 * [backup-simplify]: Simplify (/ -1 1) into -1 4.581 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 4.581 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 4.581 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 4.581 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 4.582 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 4.582 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 4.582 * [backup-simplify]: Simplify (+ 0) into 0 4.583 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 4.583 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 4.584 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.584 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 4.585 * [backup-simplify]: Simplify (+ 0 0) into 0 4.585 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 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 (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 4.586 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 4.587 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.587 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 4.588 * [backup-simplify]: Simplify (+ 0 0) into 0 4.588 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 4.588 * [backup-simplify]: Simplify 0 into 0 4.589 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.589 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 4.590 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 4.590 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.591 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 4.591 * [backup-simplify]: Simplify (+ 0 0) into 0 4.592 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 4.592 * [taylor]: Taking taylor expansion of 0 in phi2 4.592 * [backup-simplify]: Simplify 0 into 0 4.592 * [backup-simplify]: Simplify 0 into 0 4.592 * [backup-simplify]: Simplify 0 into 0 4.593 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.594 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 4.594 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 4.595 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.595 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 4.595 * [backup-simplify]: Simplify (+ 0 0) into 0 4.596 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 4.596 * [backup-simplify]: Simplify 0 into 0 4.597 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.598 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.598 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 4.600 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.600 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.601 * [backup-simplify]: Simplify (+ 0 0) into 0 4.601 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 4.602 * [taylor]: Taking taylor expansion of 0 in phi2 4.602 * [backup-simplify]: Simplify 0 into 0 4.602 * [backup-simplify]: Simplify 0 into 0 4.602 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 4.602 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2) 4.602 * [backup-simplify]: Simplify (* (sin lambda1) (sin lambda2)) into (* (sin lambda1) (sin lambda2)) 4.602 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 4.602 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 4.602 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 4.602 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.602 * [backup-simplify]: Simplify lambda1 into lambda1 4.602 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 4.602 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 4.602 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 4.602 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.602 * [backup-simplify]: Simplify 0 into 0 4.602 * [backup-simplify]: Simplify 1 into 1 4.602 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 4.602 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 4.602 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.602 * [backup-simplify]: Simplify 0 into 0 4.602 * [backup-simplify]: Simplify 1 into 1 4.602 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 4.603 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.603 * [backup-simplify]: Simplify lambda2 into lambda2 4.603 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 4.603 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 4.603 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 4.603 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 4.603 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.603 * [backup-simplify]: Simplify 0 into 0 4.603 * [backup-simplify]: Simplify 1 into 1 4.603 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 4.603 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.603 * [backup-simplify]: Simplify lambda2 into lambda2 4.603 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 4.603 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 4.603 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 4.603 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 4.603 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 4.603 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0 4.603 * [taylor]: Taking taylor expansion of 0 in lambda2 4.603 * [backup-simplify]: Simplify 0 into 0 4.603 * [backup-simplify]: Simplify 0 into 0 4.604 * [backup-simplify]: Simplify (+ 0) into 0 4.604 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 4.605 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.605 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 4.606 * [backup-simplify]: Simplify (+ 0 0) into 0 4.606 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.607 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2) 4.607 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 4.607 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.607 * [backup-simplify]: Simplify 0 into 0 4.607 * [backup-simplify]: Simplify 1 into 1 4.607 * [backup-simplify]: Simplify 0 into 0 4.607 * [backup-simplify]: Simplify 0 into 0 4.608 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.609 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 4.610 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.610 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 4.611 * [backup-simplify]: Simplify (+ 0 0) into 0 4.611 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.612 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0 4.612 * [taylor]: Taking taylor expansion of 0 in lambda2 4.612 * [backup-simplify]: Simplify 0 into 0 4.612 * [backup-simplify]: Simplify 0 into 0 4.613 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.613 * [backup-simplify]: Simplify 1 into 1 4.613 * [backup-simplify]: Simplify 0 into 0 4.614 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.615 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.616 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.617 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.617 * [backup-simplify]: Simplify (+ 0 0) into 0 4.619 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 4.620 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda2))))) into (- (* 1/6 (sin lambda2))) 4.620 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 4.620 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 4.620 * [taylor]: Taking taylor expansion of 1/6 in lambda2 4.620 * [backup-simplify]: Simplify 1/6 into 1/6 4.620 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 4.620 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.620 * [backup-simplify]: Simplify 0 into 0 4.620 * [backup-simplify]: Simplify 1 into 1 4.621 * [backup-simplify]: Simplify (* 1/6 0) into 0 4.621 * [backup-simplify]: Simplify (- 0) into 0 4.621 * [backup-simplify]: Simplify 0 into 0 4.621 * [backup-simplify]: Simplify 0 into 0 4.622 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.622 * [backup-simplify]: Simplify 0 into 0 4.622 * [backup-simplify]: Simplify 0 into 0 4.628 * [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 4.629 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.630 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.630 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 4.630 * [backup-simplify]: Simplify (+ 0 0) into 0 4.631 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.632 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda2)))))) into 0 4.632 * [taylor]: Taking taylor expansion of 0 in lambda2 4.632 * [backup-simplify]: Simplify 0 into 0 4.632 * [backup-simplify]: Simplify 0 into 0 4.632 * [backup-simplify]: Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1) 4.632 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 4.632 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in (lambda1 lambda2) around 0 4.632 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 4.632 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 4.632 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 4.632 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.632 * [backup-simplify]: Simplify 0 into 0 4.632 * [backup-simplify]: Simplify 1 into 1 4.633 * [backup-simplify]: Simplify (/ 1 1) into 1 4.633 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 4.633 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 4.633 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 4.633 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.633 * [backup-simplify]: Simplify lambda1 into lambda1 4.633 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 4.633 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 4.633 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 4.633 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 4.633 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 4.633 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 4.633 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.633 * [backup-simplify]: Simplify lambda2 into lambda2 4.633 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 4.633 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 4.633 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 4.633 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 4.633 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 4.633 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.633 * [backup-simplify]: Simplify 0 into 0 4.633 * [backup-simplify]: Simplify 1 into 1 4.633 * [backup-simplify]: Simplify (/ 1 1) into 1 4.633 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 4.633 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 4.633 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 4.634 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 4.634 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.634 * [backup-simplify]: Simplify lambda2 into lambda2 4.634 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 4.634 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 4.634 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 4.634 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 4.634 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 4.634 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.634 * [backup-simplify]: Simplify 0 into 0 4.634 * [backup-simplify]: Simplify 1 into 1 4.634 * [backup-simplify]: Simplify (/ 1 1) into 1 4.634 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 4.634 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 4.634 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 4.634 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 4.634 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 4.634 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 4.634 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 4.634 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 4.634 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.634 * [backup-simplify]: Simplify 0 into 0 4.634 * [backup-simplify]: Simplify 1 into 1 4.635 * [backup-simplify]: Simplify (/ 1 1) into 1 4.635 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 4.635 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 4.635 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 4.635 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.635 * [backup-simplify]: Simplify lambda1 into lambda1 4.635 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 4.635 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 4.635 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 4.635 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 4.635 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 4.635 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 4.635 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 4.635 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 4.636 * [backup-simplify]: Simplify (+ 0) into 0 4.636 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 4.636 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 4.636 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.637 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 4.637 * [backup-simplify]: Simplify (+ 0 0) into 0 4.637 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 4.637 * [taylor]: Taking taylor expansion of 0 in lambda2 4.637 * [backup-simplify]: Simplify 0 into 0 4.637 * [backup-simplify]: Simplify 0 into 0 4.637 * [backup-simplify]: Simplify (+ 0) into 0 4.638 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 4.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 4.638 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.638 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 4.639 * [backup-simplify]: Simplify (+ 0 0) into 0 4.639 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 4.639 * [backup-simplify]: Simplify 0 into 0 4.639 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.640 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 4.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 4.640 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.641 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 4.641 * [backup-simplify]: Simplify (+ 0 0) into 0 4.641 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 4.641 * [taylor]: Taking taylor expansion of 0 in lambda2 4.641 * [backup-simplify]: Simplify 0 into 0 4.641 * [backup-simplify]: Simplify 0 into 0 4.641 * [backup-simplify]: Simplify 0 into 0 4.642 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.642 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 4.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 4.643 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.643 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 4.643 * [backup-simplify]: Simplify (+ 0 0) into 0 4.644 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 4.644 * [backup-simplify]: Simplify 0 into 0 4.644 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.645 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.645 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 4.646 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.646 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.646 * [backup-simplify]: Simplify (+ 0 0) into 0 4.647 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0 4.647 * [taylor]: Taking taylor expansion of 0 in lambda2 4.647 * [backup-simplify]: Simplify 0 into 0 4.647 * [backup-simplify]: Simplify 0 into 0 4.647 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))) into (* (sin lambda2) (sin lambda1)) 4.647 * [backup-simplify]: Simplify (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 4.647 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 4.647 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 4.647 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 4.647 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 4.647 * [taylor]: Taking taylor expansion of -1 in lambda2 4.647 * [backup-simplify]: Simplify -1 into -1 4.647 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.647 * [backup-simplify]: Simplify lambda1 into lambda1 4.647 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 4.647 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 4.647 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 4.647 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 4.647 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 4.647 * [taylor]: Taking taylor expansion of -1 in lambda2 4.647 * [backup-simplify]: Simplify -1 into -1 4.647 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.647 * [backup-simplify]: Simplify 0 into 0 4.647 * [backup-simplify]: Simplify 1 into 1 4.648 * [backup-simplify]: Simplify (/ -1 1) into -1 4.648 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 4.648 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 4.648 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 4.648 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 4.648 * [taylor]: Taking taylor expansion of -1 in lambda1 4.648 * [backup-simplify]: Simplify -1 into -1 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 * [backup-simplify]: Simplify (/ -1 1) into -1 4.648 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 4.648 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 4.648 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 4.648 * [taylor]: Taking taylor expansion of -1 in lambda1 4.648 * [backup-simplify]: Simplify -1 into -1 4.648 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.648 * [backup-simplify]: Simplify lambda2 into lambda2 4.648 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 4.648 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 4.648 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 4.649 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 4.649 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 4.649 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 4.649 * [taylor]: Taking taylor expansion of -1 in lambda1 4.649 * [backup-simplify]: Simplify -1 into -1 4.649 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.649 * [backup-simplify]: Simplify 0 into 0 4.649 * [backup-simplify]: Simplify 1 into 1 4.649 * [backup-simplify]: Simplify (/ -1 1) into -1 4.649 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 4.649 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 4.649 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 4.649 * [taylor]: Taking taylor expansion of -1 in lambda1 4.649 * [backup-simplify]: Simplify -1 into -1 4.649 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.649 * [backup-simplify]: Simplify lambda2 into lambda2 4.649 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 4.649 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 4.649 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 4.649 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 4.649 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 4.649 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 4.649 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 4.649 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 4.649 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 4.649 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 4.649 * [taylor]: Taking taylor expansion of -1 in lambda2 4.650 * [backup-simplify]: Simplify -1 into -1 4.650 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.650 * [backup-simplify]: Simplify lambda1 into lambda1 4.650 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 4.650 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 4.650 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 4.650 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 4.650 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 4.650 * [taylor]: Taking taylor expansion of -1 in lambda2 4.650 * [backup-simplify]: Simplify -1 into -1 4.650 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.650 * [backup-simplify]: Simplify 0 into 0 4.650 * [backup-simplify]: Simplify 1 into 1 4.650 * [backup-simplify]: Simplify (/ -1 1) into -1 4.650 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 4.650 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 4.650 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 4.650 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 4.650 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 4.650 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 4.651 * [backup-simplify]: Simplify (+ 0) into 0 4.651 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 4.651 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 4.652 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.652 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 4.652 * [backup-simplify]: Simplify (+ 0 0) into 0 4.652 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 4.652 * [taylor]: Taking taylor expansion of 0 in lambda2 4.652 * [backup-simplify]: Simplify 0 into 0 4.652 * [backup-simplify]: Simplify 0 into 0 4.652 * [backup-simplify]: Simplify (+ 0) into 0 4.653 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 4.653 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 4.653 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.654 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 4.654 * [backup-simplify]: Simplify (+ 0 0) into 0 4.654 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 4.654 * [backup-simplify]: Simplify 0 into 0 4.655 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.655 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 4.655 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 4.656 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.656 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 4.656 * [backup-simplify]: Simplify (+ 0 0) into 0 4.657 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 4.657 * [taylor]: Taking taylor expansion of 0 in lambda2 4.657 * [backup-simplify]: Simplify 0 into 0 4.657 * [backup-simplify]: Simplify 0 into 0 4.657 * [backup-simplify]: Simplify 0 into 0 4.657 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.658 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 4.658 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 4.659 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.659 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 4.659 * [backup-simplify]: Simplify (+ 0 0) into 0 4.660 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 4.660 * [backup-simplify]: Simplify 0 into 0 4.661 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.662 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.662 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 4.664 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.664 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.665 * [backup-simplify]: Simplify (+ 0 0) into 0 4.666 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 4.666 * [taylor]: Taking taylor expansion of 0 in lambda2 4.666 * [backup-simplify]: Simplify 0 into 0 4.666 * [backup-simplify]: Simplify 0 into 0 4.666 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2)) 4.666 * * * [progress]: simplifying candidates 4.666 * * * * [progress]: [ 1 / 80 ] simplifiying candidate # 4.666 * * * * [progress]: [ 2 / 80 ] simplifiying candidate # 4.666 * * * * [progress]: [ 3 / 80 ] simplifiying candidate # 4.666 * * * * [progress]: [ 4 / 80 ] simplifiying candidate # 4.666 * * * * [progress]: [ 5 / 80 ] simplifiying candidate # 4.666 * * * * [progress]: [ 6 / 80 ] simplifiying candidate # 4.667 * * * * [progress]: [ 7 / 80 ] simplifiying candidate # 4.667 * * * * [progress]: [ 8 / 80 ] simplifiying candidate # 4.667 * * * * [progress]: [ 9 / 80 ] simplifiying candidate #real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> 4.667 * * * * [progress]: [ 10 / 80 ] simplifiying candidate # 4.667 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 4.667 * * [simplify]: iters left: 6 (22 enodes) 4.676 * * [simplify]: iters left: 5 (82 enodes) 4.702 * * [simplify]: iters left: 4 (144 enodes) 4.755 * * [simplify]: iters left: 3 (254 enodes) 4.800 * * [simplify]: iters left: 2 (346 enodes) 4.891 * * [simplify]: Extracting #0: cost 1 inf + 0 4.891 * * [simplify]: Extracting #1: cost 4 inf + 0 4.891 * * [simplify]: Extracting #2: cost 5 inf + 1 4.891 * * [simplify]: Extracting #3: cost 12 inf + 1 4.891 * * [simplify]: Extracting #4: cost 48 inf + 1 4.892 * * [simplify]: Extracting #5: cost 82 inf + 1 4.892 * * [simplify]: Extracting #6: cost 70 inf + 594 4.893 * * [simplify]: Extracting #7: cost 51 inf + 3167 4.895 * * [simplify]: Extracting #8: cost 13 inf + 13749 4.898 * * [simplify]: Extracting #9: cost 4 inf + 18141 4.901 * * [simplify]: Extracting #10: cost 1 inf + 20744 4.905 * * [simplify]: Extracting #11: cost 0 inf + 21559 4.909 * * [simplify]: Extracting #12: cost 0 inf + 21519 4.912 * [simplify]: Simplified to (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R) 4.912 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R) 1)) 4.913 * * * * [progress]: [ 11 / 80 ] simplifiying candidate # 4.913 * * * * [progress]: [ 12 / 80 ] simplifiying candidate # 4.913 * [simplify]: Simplifying (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log R)) 4.913 * * [simplify]: iters left: 6 (24 enodes) 4.922 * * [simplify]: iters left: 5 (88 enodes) 4.951 * * [simplify]: iters left: 4 (150 enodes) 5.003 * * [simplify]: iters left: 3 (260 enodes) 5.096 * * [simplify]: iters left: 2 (361 enodes) 5.168 * * [simplify]: Extracting #0: cost 1 inf + 0 5.169 * * [simplify]: Extracting #1: cost 4 inf + 0 5.169 * * [simplify]: Extracting #2: cost 8 inf + 0 5.169 * * [simplify]: Extracting #3: cost 7 inf + 143 5.169 * * [simplify]: Extracting #4: cost 14 inf + 143 5.169 * * [simplify]: Extracting #5: cost 50 inf + 143 5.169 * * [simplify]: Extracting #6: cost 84 inf + 143 5.170 * * [simplify]: Extracting #7: cost 71 inf + 898 5.171 * * [simplify]: Extracting #8: cost 31 inf + 9809 5.174 * * [simplify]: Extracting #9: cost 9 inf + 17595 5.178 * * [simplify]: Extracting #10: cost 2 inf + 21990 5.182 * * [simplify]: Extracting #11: cost 0 inf + 23869 5.186 * * [simplify]: Extracting #12: cost 0 inf + 23789 5.190 * [simplify]: Simplified to (+ (log (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (log R)) 5.190 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (log R)))) 5.190 * * * * [progress]: [ 13 / 80 ] simplifiying candidate # 5.190 * * * * [progress]: [ 14 / 80 ] simplifiying candidate # 5.190 * * * * [progress]: [ 15 / 80 ] simplifiying candidate # 5.190 * [simplify]: Simplifying (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* R R) R)) 5.190 * * [simplify]: iters left: 6 (26 enodes) 5.196 * * [simplify]: iters left: 5 (100 enodes) 5.212 * * [simplify]: iters left: 4 (191 enodes) 5.277 * * [simplify]: iters left: 3 (353 enodes) 5.368 * * [simplify]: Extracting #0: cost 1 inf + 0 5.368 * * [simplify]: Extracting #1: cost 23 inf + 0 5.368 * * [simplify]: Extracting #2: cost 48 inf + 2 5.368 * * [simplify]: Extracting #3: cost 52 inf + 166 5.368 * * [simplify]: Extracting #4: cost 104 inf + 672 5.369 * * [simplify]: Extracting #5: cost 137 inf + 884 5.369 * * [simplify]: Extracting #6: cost 120 inf + 1984 5.371 * * [simplify]: Extracting #7: cost 77 inf + 11545 5.377 * * [simplify]: Extracting #8: cost 45 inf + 26064 5.387 * * [simplify]: Extracting #9: cost 30 inf + 37545 5.399 * * [simplify]: Extracting #10: cost 3 inf + 65671 5.413 * * [simplify]: Extracting #11: cost 0 inf + 68685 5.436 * [simplify]: Simplified to (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R) (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R))) 5.436 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R) (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R))))) 5.436 * * * * [progress]: [ 16 / 80 ] simplifiying candidate # 5.437 * * * * [progress]: [ 17 / 80 ] simplifiying candidate # 5.437 * * * * [progress]: [ 18 / 80 ] simplifiying candidate # 5.437 * * * * [progress]: [ 19 / 80 ] simplifiying candidate # 5.437 * * * * [progress]: [ 20 / 80 ] simplifiying candidate # 5.437 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) 5.437 * * [simplify]: iters left: 6 (24 enodes) 5.447 * * [simplify]: iters left: 5 (88 enodes) 5.471 * * [simplify]: iters left: 4 (150 enodes) 5.497 * * [simplify]: iters left: 3 (260 enodes) 5.560 * * [simplify]: iters left: 2 (361 enodes) 5.662 * * [simplify]: Extracting #0: cost 1 inf + 0 5.662 * * [simplify]: Extracting #1: cost 4 inf + 0 5.662 * * [simplify]: Extracting #2: cost 8 inf + 0 5.662 * * [simplify]: Extracting #3: cost 7 inf + 83 5.662 * * [simplify]: Extracting #4: cost 14 inf + 83 5.662 * * [simplify]: Extracting #5: cost 50 inf + 83 5.663 * * [simplify]: Extracting #6: cost 84 inf + 83 5.664 * * [simplify]: Extracting #7: cost 71 inf + 838 5.666 * * [simplify]: Extracting #8: cost 31 inf + 9749 5.672 * * [simplify]: Extracting #9: cost 9 inf + 17535 5.680 * * [simplify]: Extracting #10: cost 2 inf + 21840 5.688 * * [simplify]: Extracting #11: cost 0 inf + 23629 5.696 * * [simplify]: Extracting #12: cost 0 inf + 23549 5.704 * [simplify]: Simplified to (* (sqrt R) (sqrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) 5.704 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt R) (sqrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)))) 5.705 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) 5.705 * * [simplify]: iters left: 6 (24 enodes) 5.715 * * [simplify]: iters left: 5 (88 enodes) 5.733 * * [simplify]: iters left: 4 (150 enodes) 5.765 * * [simplify]: iters left: 3 (260 enodes) 5.838 * * [simplify]: iters left: 2 (361 enodes) 5.911 * * [simplify]: Extracting #0: cost 1 inf + 0 5.911 * * [simplify]: Extracting #1: cost 4 inf + 0 5.911 * * [simplify]: Extracting #2: cost 8 inf + 0 5.911 * * [simplify]: Extracting #3: cost 7 inf + 83 5.912 * * [simplify]: Extracting #4: cost 14 inf + 83 5.912 * * [simplify]: Extracting #5: cost 50 inf + 83 5.912 * * [simplify]: Extracting #6: cost 84 inf + 83 5.915 * * [simplify]: Extracting #7: cost 71 inf + 838 5.918 * * [simplify]: Extracting #8: cost 31 inf + 9749 5.923 * * [simplify]: Extracting #9: cost 9 inf + 17535 5.931 * * [simplify]: Extracting #10: cost 2 inf + 21840 5.939 * * [simplify]: Extracting #11: cost 0 inf + 23629 5.946 * * [simplify]: Extracting #12: cost 0 inf + 23549 5.952 * [simplify]: Simplified to (* (sqrt R) (sqrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) 5.952 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt R) (sqrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))))) 5.952 * * * * [progress]: [ 21 / 80 ] simplifiying candidate # 5.953 * [simplify]: Simplifying (cbrt R) 5.953 * * [simplify]: iters left: 1 (2 enodes) 5.953 * * [simplify]: Extracting #0: cost 1 inf + 0 5.953 * * [simplify]: Extracting #1: cost 3 inf + 0 5.953 * * [simplify]: Extracting #2: cost 2 inf + 1 5.953 * * [simplify]: Extracting #3: cost 0 inf + 163 5.953 * [simplify]: Simplified to (cbrt R) 5.953 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (cbrt R))) 5.953 * * * * [progress]: [ 22 / 80 ] simplifiying candidate # 5.954 * [simplify]: Simplifying (sqrt R) 5.954 * * [simplify]: iters left: 1 (2 enodes) 5.954 * * [simplify]: Extracting #0: cost 1 inf + 0 5.954 * * [simplify]: Extracting #1: cost 3 inf + 0 5.954 * * [simplify]: Extracting #2: cost 2 inf + 1 5.954 * * [simplify]: Extracting #3: cost 0 inf + 83 5.954 * [simplify]: Simplified to (sqrt R) 5.954 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (sqrt R))) 5.954 * * * * [progress]: [ 23 / 80 ] simplifiying candidate # 5.954 * * * * [progress]: [ 24 / 80 ] simplifiying candidate # 5.955 * [simplify]: Simplifying (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) 5.955 * * [simplify]: iters left: 6 (22 enodes) 5.959 * * [simplify]: iters left: 5 (81 enodes) 5.972 * * [simplify]: iters left: 4 (143 enodes) 6.017 * * [simplify]: iters left: 3 (253 enodes) 6.106 * * [simplify]: iters left: 2 (345 enodes) 6.204 * * [simplify]: Extracting #0: cost 1 inf + 0 6.204 * * [simplify]: Extracting #1: cost 3 inf + 0 6.204 * * [simplify]: Extracting #2: cost 5 inf + 0 6.204 * * [simplify]: Extracting #3: cost 7 inf + 0 6.204 * * [simplify]: Extracting #4: cost 14 inf + 0 6.204 * * [simplify]: Extracting #5: cost 50 inf + 0 6.204 * * [simplify]: Extracting #6: cost 84 inf + 0 6.205 * * [simplify]: Extracting #7: cost 73 inf + 431 6.206 * * [simplify]: Extracting #8: cost 49 inf + 4014 6.211 * * [simplify]: Extracting #9: cost 11 inf + 15602 6.218 * * [simplify]: Extracting #10: cost 2 inf + 21596 6.225 * * [simplify]: Extracting #11: cost 1 inf + 22570 6.233 * * [simplify]: Extracting #12: cost 0 inf + 23544 6.241 * [simplify]: Simplified to (* (cbrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) 6.241 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))) 6.241 * * * * [progress]: [ 25 / 80 ] simplifiying candidate # 6.242 * [simplify]: Simplifying (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 6.242 * * [simplify]: iters left: 6 (21 enodes) 6.251 * * [simplify]: iters left: 5 (78 enodes) 6.276 * * [simplify]: iters left: 4 (140 enodes) 6.325 * * [simplify]: iters left: 3 (250 enodes) 6.413 * * [simplify]: iters left: 2 (351 enodes) 6.514 * * [simplify]: Extracting #0: cost 1 inf + 0 6.514 * * [simplify]: Extracting #1: cost 3 inf + 0 6.514 * * [simplify]: Extracting #2: cost 5 inf + 0 6.514 * * [simplify]: Extracting #3: cost 12 inf + 0 6.514 * * [simplify]: Extracting #4: cost 48 inf + 0 6.514 * * [simplify]: Extracting #5: cost 82 inf + 0 6.514 * * [simplify]: Extracting #6: cost 64 inf + 1161 6.516 * * [simplify]: Extracting #7: cost 33 inf + 7871 6.518 * * [simplify]: Extracting #8: cost 7 inf + 16730 6.522 * * [simplify]: Extracting #9: cost 1 inf + 20622 6.525 * * [simplify]: Extracting #10: cost 0 inf + 21516 6.529 * [simplify]: Simplified to (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))))))) 6.529 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))) 6.529 * * * * [progress]: [ 26 / 80 ] simplifiying candidate # 6.529 * * * * [progress]: [ 27 / 80 ] simplifiying candidate #real (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> 6.529 * * * * [progress]: [ 28 / 80 ] simplifiying candidate # 6.529 * * * * [progress]: [ 29 / 80 ] simplifiying candidate # 6.529 * [simplify]: Simplifying (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 6.529 * * [simplify]: iters left: 5 (7 enodes) 6.531 * * [simplify]: iters left: 4 (26 enodes) 6.535 * * [simplify]: iters left: 3 (32 enodes) 6.538 * * [simplify]: Extracting #0: cost 1 inf + 0 6.538 * * [simplify]: Extracting #1: cost 5 inf + 0 6.539 * * [simplify]: Extracting #2: cost 10 inf + 0 6.539 * * [simplify]: Extracting #3: cost 15 inf + 0 6.539 * * [simplify]: Extracting #4: cost 13 inf + 43 6.539 * * [simplify]: Extracting #5: cost 4 inf + 800 6.539 * * [simplify]: Extracting #6: cost 1 inf + 1186 6.539 * * [simplify]: Extracting #7: cost 0 inf + 1428 6.539 * [simplify]: Simplified to (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) 6.540 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) 2) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 6.540 * * * * [progress]: [ 30 / 80 ] simplifiying candidate # 6.540 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 6.540 * * [simplify]: iters left: 3 (5 enodes) 6.541 * * [simplify]: iters left: 2 (16 enodes) 6.543 * * [simplify]: Extracting #0: cost 1 inf + 0 6.543 * * [simplify]: Extracting #1: cost 4 inf + 0 6.543 * * [simplify]: Extracting #2: cost 8 inf + 0 6.543 * * [simplify]: Extracting #3: cost 4 inf + 124 6.543 * * [simplify]: Extracting #4: cost 0 inf + 570 6.543 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 6.543 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi2) (sin phi1)) 1) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 6.543 * * * * [progress]: [ 31 / 80 ] simplifiying candidate # 6.543 * * * * [progress]: [ 32 / 80 ] simplifiying candidate # 6.544 * [simplify]: Simplifying (+ (log (sin phi1)) (log (sin phi2))) 6.544 * * [simplify]: iters left: 4 (7 enodes) 6.545 * * [simplify]: iters left: 3 (22 enodes) 6.548 * * [simplify]: Extracting #0: cost 1 inf + 0 6.548 * * [simplify]: Extracting #1: cost 4 inf + 0 6.548 * * [simplify]: Extracting #2: cost 8 inf + 0 6.548 * * [simplify]: Extracting #3: cost 12 inf + 0 6.548 * * [simplify]: Extracting #4: cost 10 inf + 2 6.548 * * [simplify]: Extracting #5: cost 4 inf + 508 6.548 * * [simplify]: Extracting #6: cost 1 inf + 1072 6.548 * * [simplify]: Extracting #7: cost 0 inf + 1374 6.548 * [simplify]: Simplified to (+ (log (sin phi2)) (log (sin phi1))) 6.548 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (+ (log (sin phi2)) (log (sin phi1)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 6.548 * * * * [progress]: [ 33 / 80 ] simplifiying candidate # 6.549 * * * * [progress]: [ 34 / 80 ] simplifiying candidate # 6.549 * * * * [progress]: [ 35 / 80 ] simplifiying candidate # 6.549 * [simplify]: Simplifying (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) 6.549 * * [simplify]: iters left: 6 (9 enodes) 6.551 * * [simplify]: iters left: 5 (34 enodes) 6.556 * * [simplify]: iters left: 4 (63 enodes) 6.570 * * [simplify]: iters left: 3 (122 enodes) 6.619 * * [simplify]: iters left: 2 (196 enodes) 6.705 * * [simplify]: iters left: 1 (356 enodes) 6.883 * * [simplify]: Extracting #0: cost 1 inf + 0 6.883 * * [simplify]: Extracting #1: cost 70 inf + 0 6.884 * * [simplify]: Extracting #2: cost 169 inf + 1 6.885 * * [simplify]: Extracting #3: cost 154 inf + 2658 6.888 * * [simplify]: Extracting #4: cost 86 inf + 31524 6.897 * * [simplify]: Extracting #5: cost 7 inf + 77226 6.914 * * [simplify]: Extracting #6: cost 0 inf + 81813 6.922 * [simplify]: Simplified to (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1))) 6.922 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 6.922 * * * * [progress]: [ 36 / 80 ] simplifiying candidate # 6.923 * * * * [progress]: [ 37 / 80 ] simplifiying candidate # 6.923 * * * * [progress]: [ 38 / 80 ] simplifiying candidate # 6.923 * * * * [progress]: [ 39 / 80 ] simplifiying candidate # 6.923 * * * * [progress]: [ 40 / 80 ] simplifiying candidate # 6.923 * [simplify]: Simplifying (* (sqrt (sin phi1)) (sqrt (sin phi2))) 6.923 * * [simplify]: iters left: 4 (7 enodes) 6.924 * * [simplify]: iters left: 3 (22 enodes) 6.927 * * [simplify]: Extracting #0: cost 1 inf + 0 6.927 * * [simplify]: Extracting #1: cost 4 inf + 0 6.927 * * [simplify]: Extracting #2: cost 8 inf + 0 6.927 * * [simplify]: Extracting #3: cost 12 inf + 0 6.927 * * [simplify]: Extracting #4: cost 10 inf + 2 6.927 * * [simplify]: Extracting #5: cost 4 inf + 448 6.927 * * [simplify]: Extracting #6: cost 1 inf + 892 6.928 * * [simplify]: Extracting #7: cost 0 inf + 1134 6.928 * [simplify]: Simplified to (* (sqrt (sin phi1)) (sqrt (sin phi2))) 6.928 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 6.928 * [simplify]: Simplifying (* (sqrt (sin phi1)) (sqrt (sin phi2))) 6.928 * * [simplify]: iters left: 4 (7 enodes) 6.929 * * [simplify]: iters left: 3 (22 enodes) 6.932 * * [simplify]: Extracting #0: cost 1 inf + 0 6.932 * * [simplify]: Extracting #1: cost 4 inf + 0 6.932 * * [simplify]: Extracting #2: cost 8 inf + 0 6.932 * * [simplify]: Extracting #3: cost 12 inf + 0 6.932 * * [simplify]: Extracting #4: cost 10 inf + 2 6.932 * * [simplify]: Extracting #5: cost 4 inf + 448 6.933 * * [simplify]: Extracting #6: cost 1 inf + 892 6.933 * * [simplify]: Extracting #7: cost 0 inf + 1134 6.933 * [simplify]: Simplified to (* (sqrt (sin phi1)) (sqrt (sin phi2))) 6.933 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 6.933 * * * * [progress]: [ 41 / 80 ] simplifiying candidate # 6.933 * [simplify]: Simplifying (cbrt (sin phi2)) 6.933 * * [simplify]: iters left: 2 (3 enodes) 6.934 * * [simplify]: iters left: 1 (9 enodes) 6.935 * * [simplify]: Extracting #0: cost 1 inf + 0 6.935 * * [simplify]: Extracting #1: cost 3 inf + 0 6.935 * * [simplify]: Extracting #2: cost 5 inf + 0 6.935 * * [simplify]: Extracting #3: cost 4 inf + 1 6.935 * * [simplify]: Extracting #4: cost 0 inf + 405 6.935 * [simplify]: Simplified to (cbrt (sin phi2)) 6.935 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 6.935 * * * * [progress]: [ 42 / 80 ] simplifiying candidate # 6.936 * [simplify]: Simplifying (sqrt (sin phi2)) 6.936 * * [simplify]: iters left: 2 (3 enodes) 6.937 * * [simplify]: iters left: 1 (9 enodes) 6.938 * * [simplify]: Extracting #0: cost 1 inf + 0 6.938 * * [simplify]: Extracting #1: cost 3 inf + 0 6.938 * * [simplify]: Extracting #2: cost 5 inf + 0 6.938 * * [simplify]: Extracting #3: cost 4 inf + 1 6.938 * * [simplify]: Extracting #4: cost 0 inf + 325 6.938 * [simplify]: Simplified to (sqrt (sin phi2)) 6.938 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (sqrt (sin phi2))) (sqrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 6.938 * * * * [progress]: [ 43 / 80 ] simplifiying candidate # 6.939 * [simplify]: Simplifying (sin phi2) 6.939 * * [simplify]: iters left: 1 (2 enodes) 6.939 * * [simplify]: Extracting #0: cost 1 inf + 0 6.940 * * [simplify]: Extracting #1: cost 3 inf + 0 6.940 * * [simplify]: Extracting #2: cost 2 inf + 1 6.940 * * [simplify]: Extracting #3: cost 0 inf + 123 6.940 * [simplify]: Simplified to (sin phi2) 6.940 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) 1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 6.940 * * * * [progress]: [ 44 / 80 ] simplifiying candidate # 6.940 * [simplify]: Simplifying (* (cbrt (sin phi1)) (cbrt (sin phi1))) 6.940 * * [simplify]: iters left: 4 (4 enodes) 6.942 * * [simplify]: iters left: 3 (12 enodes) 6.945 * * [simplify]: Extracting #0: cost 1 inf + 0 6.945 * * [simplify]: Extracting #1: cost 3 inf + 0 6.945 * * [simplify]: Extracting #2: cost 5 inf + 0 6.945 * * [simplify]: Extracting #3: cost 7 inf + 0 6.945 * * [simplify]: Extracting #4: cost 6 inf + 1 6.946 * * [simplify]: Extracting #5: cost 0 inf + 767 6.946 * [simplify]: Simplified to (* (cbrt (sin phi1)) (cbrt (sin phi1))) 6.946 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 6.946 * * * * [progress]: [ 45 / 80 ] simplifiying candidate # 6.946 * [simplify]: Simplifying (sqrt (sin phi1)) 6.946 * * [simplify]: iters left: 2 (3 enodes) 6.948 * * [simplify]: iters left: 1 (9 enodes) 6.950 * * [simplify]: Extracting #0: cost 1 inf + 0 6.950 * * [simplify]: Extracting #1: cost 3 inf + 0 6.950 * * [simplify]: Extracting #2: cost 5 inf + 0 6.950 * * [simplify]: Extracting #3: cost 4 inf + 1 6.951 * * [simplify]: Extracting #4: cost 0 inf + 325 6.951 * [simplify]: Simplified to (sqrt (sin phi1)) 6.951 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 6.951 * * * * [progress]: [ 46 / 80 ] simplifiying candidate # 6.951 * * * * [progress]: [ 47 / 80 ] simplifiying candidate #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> 6.951 * * * * [progress]: [ 48 / 80 ] simplifiying candidate # 6.951 * * * * [progress]: [ 49 / 80 ] simplifiying candidate # 6.952 * [simplify]: Simplifying (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) 6.952 * * [simplify]: iters left: 5 (7 enodes) 6.954 * * [simplify]: iters left: 4 (26 enodes) 6.958 * * [simplify]: iters left: 3 (32 enodes) 6.962 * * [simplify]: Extracting #0: cost 1 inf + 0 6.962 * * [simplify]: Extracting #1: cost 5 inf + 0 6.962 * * [simplify]: Extracting #2: cost 10 inf + 0 6.962 * * [simplify]: Extracting #3: cost 15 inf + 0 6.962 * * [simplify]: Extracting #4: cost 13 inf + 43 6.962 * * [simplify]: Extracting #5: cost 4 inf + 800 6.962 * * [simplify]: Extracting #6: cost 1 inf + 1186 6.963 * * [simplify]: Extracting #7: cost 0 inf + 1428 6.963 * [simplify]: Simplified to (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))) 6.963 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (/ (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))) 2))))) R)) 6.963 * * * * [progress]: [ 50 / 80 ] simplifiying candidate # 6.963 * [simplify]: Simplifying (* (sin lambda1) (sin lambda2)) 6.963 * * [simplify]: iters left: 3 (5 enodes) 6.964 * * [simplify]: iters left: 2 (16 enodes) 6.966 * * [simplify]: Extracting #0: cost 1 inf + 0 6.966 * * [simplify]: Extracting #1: cost 4 inf + 0 6.967 * * [simplify]: Extracting #2: cost 8 inf + 0 6.967 * * [simplify]: Extracting #3: cost 4 inf + 124 6.967 * * [simplify]: Extracting #4: cost 0 inf + 570 6.967 * [simplify]: Simplified to (* (sin lambda2) (sin lambda1)) 6.967 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (pow (* (sin lambda2) (sin lambda1)) 1))))) R)) 6.967 * * * * [progress]: [ 51 / 80 ] simplifiying candidate # 6.967 * * * * [progress]: [ 52 / 80 ] simplifiying candidate # 6.967 * [simplify]: Simplifying (+ (log (sin lambda1)) (log (sin lambda2))) 6.967 * * [simplify]: iters left: 4 (7 enodes) 6.969 * * [simplify]: iters left: 3 (22 enodes) 6.971 * * [simplify]: Extracting #0: cost 1 inf + 0 6.971 * * [simplify]: Extracting #1: cost 4 inf + 0 6.972 * * [simplify]: Extracting #2: cost 8 inf + 0 6.972 * * [simplify]: Extracting #3: cost 12 inf + 0 6.972 * * [simplify]: Extracting #4: cost 10 inf + 2 6.972 * * [simplify]: Extracting #5: cost 4 inf + 508 6.972 * * [simplify]: Extracting #6: cost 1 inf + 1072 6.972 * * [simplify]: Extracting #7: cost 0 inf + 1374 6.972 * [simplify]: Simplified to (+ (log (sin lambda2)) (log (sin lambda1))) 6.972 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (exp (+ (log (sin lambda2)) (log (sin lambda1)))))))) R)) 6.972 * * * * [progress]: [ 53 / 80 ] simplifiying candidate # 6.972 * * * * [progress]: [ 54 / 80 ] simplifiying candidate # 6.972 * * * * [progress]: [ 55 / 80 ] simplifiying candidate # 6.973 * [simplify]: Simplifying (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) 6.973 * * [simplify]: iters left: 6 (9 enodes) 6.975 * * [simplify]: iters left: 5 (34 enodes) 6.980 * * [simplify]: iters left: 4 (63 enodes) 6.997 * * [simplify]: iters left: 3 (122 enodes) 7.025 * * [simplify]: iters left: 2 (196 enodes) 7.089 * * [simplify]: iters left: 1 (356 enodes) 7.227 * * [simplify]: Extracting #0: cost 1 inf + 0 7.228 * * [simplify]: Extracting #1: cost 70 inf + 0 7.228 * * [simplify]: Extracting #2: cost 169 inf + 1 7.229 * * [simplify]: Extracting #3: cost 154 inf + 2658 7.236 * * [simplify]: Extracting #4: cost 86 inf + 31524 7.244 * * [simplify]: Extracting #5: cost 7 inf + 77226 7.261 * * [simplify]: Extracting #6: cost 0 inf + 81813 7.273 * [simplify]: Simplified to (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (sin lambda2) (sin lambda1))) 7.273 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (sin lambda2) (sin lambda1)))))))) R)) 7.274 * * * * [progress]: [ 56 / 80 ] simplifiying candidate # 7.274 * * * * [progress]: [ 57 / 80 ] simplifiying candidate # 7.274 * * * * [progress]: [ 58 / 80 ] simplifiying candidate # 7.274 * * * * [progress]: [ 59 / 80 ] simplifiying candidate # 7.274 * * * * [progress]: [ 60 / 80 ] simplifiying candidate # 7.274 * [simplify]: Simplifying (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) 7.274 * * [simplify]: iters left: 4 (7 enodes) 7.276 * * [simplify]: iters left: 3 (22 enodes) 7.278 * * [simplify]: Extracting #0: cost 1 inf + 0 7.278 * * [simplify]: Extracting #1: cost 4 inf + 0 7.278 * * [simplify]: Extracting #2: cost 8 inf + 0 7.278 * * [simplify]: Extracting #3: cost 12 inf + 0 7.278 * * [simplify]: Extracting #4: cost 10 inf + 2 7.279 * * [simplify]: Extracting #5: cost 4 inf + 448 7.279 * * [simplify]: Extracting #6: cost 1 inf + 892 7.279 * * [simplify]: Extracting #7: cost 0 inf + 1134 7.279 * [simplify]: Simplified to (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) 7.279 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2)))))))) R)) 7.279 * [simplify]: Simplifying (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) 7.279 * * [simplify]: iters left: 4 (7 enodes) 7.281 * * [simplify]: iters left: 3 (22 enodes) 7.283 * * [simplify]: Extracting #0: cost 1 inf + 0 7.283 * * [simplify]: Extracting #1: cost 4 inf + 0 7.284 * * [simplify]: Extracting #2: cost 8 inf + 0 7.284 * * [simplify]: Extracting #3: cost 12 inf + 0 7.284 * * [simplify]: Extracting #4: cost 10 inf + 2 7.284 * * [simplify]: Extracting #5: cost 4 inf + 448 7.284 * * [simplify]: Extracting #6: cost 1 inf + 892 7.284 * * [simplify]: Extracting #7: cost 0 inf + 1134 7.284 * [simplify]: Simplified to (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) 7.284 * [simplify]: Simplified (2 1 1 2 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2)))))))) R)) 7.284 * * * * [progress]: [ 61 / 80 ] simplifiying candidate # 7.285 * [simplify]: Simplifying (cbrt (sin lambda2)) 7.285 * * [simplify]: iters left: 2 (3 enodes) 7.285 * * [simplify]: iters left: 1 (9 enodes) 7.286 * * [simplify]: Extracting #0: cost 1 inf + 0 7.286 * * [simplify]: Extracting #1: cost 3 inf + 0 7.286 * * [simplify]: Extracting #2: cost 5 inf + 0 7.286 * * [simplify]: Extracting #3: cost 4 inf + 1 7.286 * * [simplify]: Extracting #4: cost 0 inf + 405 7.287 * [simplify]: Simplified to (cbrt (sin lambda2)) 7.287 * [simplify]: Simplified (2 1 1 2 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))) R)) 7.287 * * * * [progress]: [ 62 / 80 ] simplifiying candidate # 7.287 * [simplify]: Simplifying (sqrt (sin lambda2)) 7.287 * * [simplify]: iters left: 2 (3 enodes) 7.287 * * [simplify]: iters left: 1 (9 enodes) 7.289 * * [simplify]: Extracting #0: cost 1 inf + 0 7.289 * * [simplify]: Extracting #1: cost 3 inf + 0 7.289 * * [simplify]: Extracting #2: cost 5 inf + 0 7.289 * * [simplify]: Extracting #3: cost 4 inf + 1 7.289 * * [simplify]: Extracting #4: cost 0 inf + 325 7.289 * [simplify]: Simplified to (sqrt (sin lambda2)) 7.289 * [simplify]: Simplified (2 1 1 2 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (sqrt (sin lambda2))) (sqrt (sin lambda2))))))) R)) 7.289 * * * * [progress]: [ 63 / 80 ] simplifiying candidate # 7.289 * [simplify]: Simplifying (sin lambda2) 7.289 * * [simplify]: iters left: 1 (2 enodes) 7.290 * * [simplify]: Extracting #0: cost 1 inf + 0 7.290 * * [simplify]: Extracting #1: cost 3 inf + 0 7.290 * * [simplify]: Extracting #2: cost 2 inf + 1 7.290 * * [simplify]: Extracting #3: cost 0 inf + 123 7.290 * [simplify]: Simplified to (sin lambda2) 7.290 * [simplify]: Simplified (2 1 1 2 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) 1) (sin lambda2)))))) R)) 7.290 * * * * [progress]: [ 64 / 80 ] simplifiying candidate # 7.290 * [simplify]: Simplifying (* (cbrt (sin lambda1)) (cbrt (sin lambda1))) 7.290 * * [simplify]: iters left: 4 (4 enodes) 7.291 * * [simplify]: iters left: 3 (12 enodes) 7.293 * * [simplify]: Extracting #0: cost 1 inf + 0 7.293 * * [simplify]: Extracting #1: cost 3 inf + 0 7.293 * * [simplify]: Extracting #2: cost 5 inf + 0 7.293 * * [simplify]: Extracting #3: cost 7 inf + 0 7.293 * * [simplify]: Extracting #4: cost 6 inf + 1 7.293 * * [simplify]: Extracting #5: cost 0 inf + 767 7.293 * [simplify]: Simplified to (* (cbrt (sin lambda1)) (cbrt (sin lambda1))) 7.293 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (cbrt (sin lambda1)) (cbrt (sin lambda1))) (* (cbrt (sin lambda1)) (sin lambda2))))))) R)) 7.293 * * * * [progress]: [ 65 / 80 ] simplifiying candidate # 7.294 * [simplify]: Simplifying (sqrt (sin lambda1)) 7.294 * * [simplify]: iters left: 2 (3 enodes) 7.294 * * [simplify]: iters left: 1 (9 enodes) 7.295 * * [simplify]: Extracting #0: cost 1 inf + 0 7.295 * * [simplify]: Extracting #1: cost 3 inf + 0 7.295 * * [simplify]: Extracting #2: cost 5 inf + 0 7.295 * * [simplify]: Extracting #3: cost 4 inf + 1 7.295 * * [simplify]: Extracting #4: cost 0 inf + 325 7.296 * [simplify]: Simplified to (sqrt (sin lambda1)) 7.296 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sqrt (sin lambda1)) (* (sqrt (sin lambda1)) (sin lambda2))))))) R)) 7.296 * * * * [progress]: [ 66 / 80 ] simplifiying candidate # 7.296 * * * * [progress]: [ 67 / 80 ] simplifiying candidate #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> 7.296 * * * * [progress]: [ 68 / 80 ] simplifiying candidate # 7.296 * * * * [progress]: [ 69 / 80 ] simplifiying candidate # 7.296 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 7.296 * * [simplify]: iters left: 6 (22 enodes) 7.304 * * [simplify]: iters left: 5 (84 enodes) 7.330 * * [simplify]: iters left: 4 (141 enodes) 7.384 * * [simplify]: iters left: 3 (241 enodes) 7.438 * * [simplify]: iters left: 2 (280 enodes) 7.485 * * [simplify]: Extracting #0: cost 1 inf + 0 7.485 * * [simplify]: Extracting #1: cost 3 inf + 0 7.485 * * [simplify]: Extracting #2: cost 10 inf + 0 7.485 * * [simplify]: Extracting #3: cost 46 inf + 0 7.485 * * [simplify]: Extracting #4: cost 80 inf + 0 7.486 * * [simplify]: Extracting #5: cost 63 inf + 1504 7.489 * * [simplify]: Extracting #6: cost 22 inf + 9796 7.495 * * [simplify]: Extracting #7: cost 5 inf + 17031 7.502 * * [simplify]: Extracting #8: cost 0 inf + 19888 7.508 * * [simplify]: Extracting #9: cost 0 inf + 19728 7.515 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) 7.516 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R)) 7.516 * * * * [progress]: [ 70 / 80 ] simplifiying candidate # 7.516 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 7.516 * * [simplify]: iters left: 6 (22 enodes) 7.526 * * [simplify]: iters left: 5 (84 enodes) 7.551 * * [simplify]: iters left: 4 (141 enodes) 7.603 * * [simplify]: iters left: 3 (241 enodes) 7.679 * * [simplify]: iters left: 2 (280 enodes) 7.738 * * [simplify]: Extracting #0: cost 1 inf + 0 7.738 * * [simplify]: Extracting #1: cost 3 inf + 0 7.739 * * [simplify]: Extracting #2: cost 10 inf + 0 7.739 * * [simplify]: Extracting #3: cost 46 inf + 0 7.739 * * [simplify]: Extracting #4: cost 80 inf + 0 7.739 * * [simplify]: Extracting #5: cost 58 inf + 2112 7.741 * * [simplify]: Extracting #6: cost 20 inf + 10221 7.746 * * [simplify]: Extracting #7: cost 2 inf + 18300 7.753 * * [simplify]: Extracting #8: cost 0 inf + 19888 7.759 * * [simplify]: Extracting #9: cost 0 inf + 19728 7.766 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) 7.766 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) R)) 7.766 * * * * [progress]: [ 71 / 80 ] simplifiying candidate # 7.767 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 7.767 * * [simplify]: iters left: 6 (22 enodes) 7.771 * * [simplify]: iters left: 5 (84 enodes) 7.786 * * [simplify]: iters left: 4 (141 enodes) 7.831 * * [simplify]: iters left: 3 (241 enodes) 7.884 * * [simplify]: iters left: 2 (280 enodes) 7.925 * * [simplify]: Extracting #0: cost 1 inf + 0 7.926 * * [simplify]: Extracting #1: cost 3 inf + 0 7.926 * * [simplify]: Extracting #2: cost 10 inf + 0 7.926 * * [simplify]: Extracting #3: cost 46 inf + 0 7.926 * * [simplify]: Extracting #4: cost 80 inf + 0 7.926 * * [simplify]: Extracting #5: cost 63 inf + 1504 7.928 * * [simplify]: Extracting #6: cost 22 inf + 9796 7.932 * * [simplify]: Extracting #7: cost 5 inf + 17031 7.938 * * [simplify]: Extracting #8: cost 0 inf + 19888 7.945 * * [simplify]: Extracting #9: cost 0 inf + 19728 7.952 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) 7.952 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R)) 7.952 * * * * [progress]: [ 72 / 80 ] simplifiying candidate # 7.952 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 7.953 * * [simplify]: iters left: 6 (24 enodes) 7.963 * * [simplify]: iters left: 5 (91 enodes) 7.987 * * [simplify]: iters left: 4 (148 enodes) 8.016 * * [simplify]: iters left: 3 (248 enodes) 8.102 * * [simplify]: iters left: 2 (295 enodes) 8.158 * * [simplify]: Extracting #0: cost 1 inf + 0 8.158 * * [simplify]: Extracting #1: cost 4 inf + 0 8.158 * * [simplify]: Extracting #2: cost 5 inf + 1 8.158 * * [simplify]: Extracting #3: cost 12 inf + 1 8.159 * * [simplify]: Extracting #4: cost 48 inf + 1 8.159 * * [simplify]: Extracting #5: cost 82 inf + 1 8.159 * * [simplify]: Extracting #6: cost 71 inf + 634 8.160 * * [simplify]: Extracting #7: cost 31 inf + 8806 8.163 * * [simplify]: Extracting #8: cost 5 inf + 18631 8.167 * * [simplify]: Extracting #9: cost 1 inf + 20704 8.174 * * [simplify]: Extracting #10: cost 0 inf + 21559 8.183 * * [simplify]: Extracting #11: cost 0 inf + 21519 8.190 * [simplify]: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 8.190 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 8.190 * * * * [progress]: [ 73 / 80 ] simplifiying candidate # 8.191 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 8.191 * * [simplify]: iters left: 6 (24 enodes) 8.201 * * [simplify]: iters left: 5 (91 enodes) 8.228 * * [simplify]: iters left: 4 (148 enodes) 8.280 * * [simplify]: iters left: 3 (248 enodes) 8.343 * * [simplify]: iters left: 2 (292 enodes) 8.413 * * [simplify]: Extracting #0: cost 1 inf + 0 8.413 * * [simplify]: Extracting #1: cost 4 inf + 0 8.414 * * [simplify]: Extracting #2: cost 5 inf + 1 8.414 * * [simplify]: Extracting #3: cost 12 inf + 1 8.414 * * [simplify]: Extracting #4: cost 48 inf + 1 8.414 * * [simplify]: Extracting #5: cost 82 inf + 1 8.415 * * [simplify]: Extracting #6: cost 61 inf + 2052 8.418 * * [simplify]: Extracting #7: cost 23 inf + 9919 8.421 * * [simplify]: Extracting #8: cost 4 inf + 18021 8.425 * * [simplify]: Extracting #9: cost 1 inf + 20624 8.428 * * [simplify]: Extracting #10: cost 0 inf + 21519 8.432 * [simplify]: Simplified to (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R) 8.432 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R)) 8.432 * * * * [progress]: [ 74 / 80 ] simplifiying candidate # 8.432 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 8.432 * * [simplify]: iters left: 6 (24 enodes) 8.437 * * [simplify]: iters left: 5 (91 enodes) 8.456 * * [simplify]: iters left: 4 (148 enodes) 8.507 * * [simplify]: iters left: 3 (248 enodes) 8.586 * * [simplify]: iters left: 2 (295 enodes) 8.634 * * [simplify]: Extracting #0: cost 1 inf + 0 8.635 * * [simplify]: Extracting #1: cost 4 inf + 0 8.635 * * [simplify]: Extracting #2: cost 5 inf + 1 8.635 * * [simplify]: Extracting #3: cost 12 inf + 1 8.635 * * [simplify]: Extracting #4: cost 48 inf + 1 8.635 * * [simplify]: Extracting #5: cost 82 inf + 1 8.636 * * [simplify]: Extracting #6: cost 71 inf + 634 8.638 * * [simplify]: Extracting #7: cost 31 inf + 8806 8.644 * * [simplify]: Extracting #8: cost 5 inf + 18631 8.651 * * [simplify]: Extracting #9: cost 1 inf + 20704 8.658 * * [simplify]: Extracting #10: cost 0 inf + 21559 8.665 * * [simplify]: Extracting #11: cost 0 inf + 21519 8.672 * [simplify]: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 8.673 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 8.673 * * * * [progress]: [ 75 / 80 ] simplifiying candidate # 8.673 * [simplify]: Simplifying (* phi1 phi2) 8.673 * * [simplify]: iters left: 2 (3 enodes) 8.674 * * [simplify]: iters left: 1 (10 enodes) 8.675 * * [simplify]: Extracting #0: cost 1 inf + 0 8.675 * * [simplify]: Extracting #1: cost 4 inf + 0 8.675 * * [simplify]: Extracting #2: cost 2 inf + 2 8.675 * * [simplify]: Extracting #3: cost 0 inf + 86 8.676 * [simplify]: Simplified to (* phi1 phi2) 8.676 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* phi1 phi2) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 8.676 * * * * [progress]: [ 76 / 80 ] simplifiying candidate # 8.676 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 8.676 * * [simplify]: iters left: 3 (5 enodes) 8.677 * * [simplify]: iters left: 2 (16 enodes) 8.679 * * [simplify]: Extracting #0: cost 1 inf + 0 8.679 * * [simplify]: Extracting #1: cost 4 inf + 0 8.679 * * [simplify]: Extracting #2: cost 8 inf + 0 8.679 * * [simplify]: Extracting #3: cost 4 inf + 124 8.679 * * [simplify]: Extracting #4: cost 0 inf + 570 8.679 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 8.679 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 8.679 * * * * [progress]: [ 77 / 80 ] simplifiying candidate # 8.679 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 8.679 * * [simplify]: iters left: 3 (5 enodes) 8.680 * * [simplify]: iters left: 2 (16 enodes) 8.682 * * [simplify]: Extracting #0: cost 1 inf + 0 8.682 * * [simplify]: Extracting #1: cost 4 inf + 0 8.682 * * [simplify]: Extracting #2: cost 8 inf + 0 8.682 * * [simplify]: Extracting #3: cost 4 inf + 124 8.682 * * [simplify]: Extracting #4: cost 0 inf + 570 8.683 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 8.683 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 8.683 * * * * [progress]: [ 78 / 80 ] simplifiying candidate # 8.683 * [simplify]: Simplifying (* lambda2 lambda1) 8.683 * * [simplify]: iters left: 2 (3 enodes) 8.684 * * [simplify]: iters left: 1 (10 enodes) 8.685 * * [simplify]: Extracting #0: cost 1 inf + 0 8.685 * * [simplify]: Extracting #1: cost 4 inf + 0 8.685 * * [simplify]: Extracting #2: cost 2 inf + 2 8.685 * * [simplify]: Extracting #3: cost 0 inf + 86 8.685 * [simplify]: Simplified to (* lambda2 lambda1) 8.685 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* lambda2 lambda1))))) R)) 8.685 * * * * [progress]: [ 79 / 80 ] simplifiying candidate # 8.685 * [simplify]: Simplifying (* (sin lambda2) (sin lambda1)) 8.685 * * [simplify]: iters left: 3 (5 enodes) 8.686 * * [simplify]: iters left: 2 (16 enodes) 8.688 * * [simplify]: Extracting #0: cost 1 inf + 0 8.688 * * [simplify]: Extracting #1: cost 4 inf + 0 8.688 * * [simplify]: Extracting #2: cost 8 inf + 0 8.688 * * [simplify]: Extracting #3: cost 4 inf + 124 8.688 * * [simplify]: Extracting #4: cost 0 inf + 570 8.688 * [simplify]: Simplified to (* (sin lambda1) (sin lambda2)) 8.688 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 8.688 * * * * [progress]: [ 80 / 80 ] simplifiying candidate # 8.689 * [simplify]: Simplifying (* (sin lambda1) (sin lambda2)) 8.689 * * [simplify]: iters left: 3 (5 enodes) 8.690 * * [simplify]: iters left: 2 (16 enodes) 8.692 * * [simplify]: Extracting #0: cost 1 inf + 0 8.692 * * [simplify]: Extracting #1: cost 4 inf + 0 8.692 * * [simplify]: Extracting #2: cost 8 inf + 0 8.692 * * [simplify]: Extracting #3: cost 4 inf + 124 8.692 * * [simplify]: Extracting #4: cost 0 inf + 570 8.692 * [simplify]: Simplified to (* (sin lambda2) (sin lambda1)) 8.692 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R)) 8.692 * * * [progress]: adding candidates to table 10.412 * * [progress]: iteration 3 / 4 10.412 * * * [progress]: picking best candidate 10.579 * * * * [pick]: Picked # 10.579 * * * [progress]: localizing error 10.682 * * * [progress]: generating rewritten candidates 10.682 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2 2) 10.687 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 10.689 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 10.695 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 10.706 * * * [progress]: generating series expansions 10.706 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2 2) 10.707 * [backup-simplify]: Simplify (log (exp (* (sin lambda1) (sin lambda2)))) into (* (sin lambda1) (sin lambda2)) 10.707 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 10.707 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 10.707 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 10.707 * [taylor]: Taking taylor expansion of lambda1 in lambda2 10.707 * [backup-simplify]: Simplify lambda1 into lambda1 10.707 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 10.707 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 10.707 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 10.707 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.707 * [backup-simplify]: Simplify 0 into 0 10.707 * [backup-simplify]: Simplify 1 into 1 10.707 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 10.707 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 10.707 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.707 * [backup-simplify]: Simplify 0 into 0 10.707 * [backup-simplify]: Simplify 1 into 1 10.707 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 10.707 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.707 * [backup-simplify]: Simplify lambda2 into lambda2 10.707 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 10.707 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 10.707 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 10.707 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 10.707 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.707 * [backup-simplify]: Simplify 0 into 0 10.707 * [backup-simplify]: Simplify 1 into 1 10.707 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 10.707 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.707 * [backup-simplify]: Simplify lambda2 into lambda2 10.708 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 10.708 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 10.708 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 10.708 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 10.708 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 10.708 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0 10.708 * [taylor]: Taking taylor expansion of 0 in lambda2 10.708 * [backup-simplify]: Simplify 0 into 0 10.708 * [backup-simplify]: Simplify 0 into 0 10.709 * [backup-simplify]: Simplify (+ 0) into 0 10.709 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 10.710 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.711 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 10.711 * [backup-simplify]: Simplify (+ 0 0) into 0 10.712 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 10.712 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2) 10.712 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 10.712 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.712 * [backup-simplify]: Simplify 0 into 0 10.712 * [backup-simplify]: Simplify 1 into 1 10.712 * [backup-simplify]: Simplify 0 into 0 10.713 * [backup-simplify]: Simplify 0 into 0 10.713 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.714 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 10.715 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.716 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 10.716 * [backup-simplify]: Simplify (+ 0 0) into 0 10.717 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.718 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0 10.718 * [taylor]: Taking taylor expansion of 0 in lambda2 10.718 * [backup-simplify]: Simplify 0 into 0 10.718 * [backup-simplify]: Simplify 0 into 0 10.718 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 10.719 * [backup-simplify]: Simplify 1 into 1 10.719 * [backup-simplify]: Simplify 0 into 0 10.720 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.720 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.722 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.723 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.723 * [backup-simplify]: Simplify (+ 0 0) into 0 10.725 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 10.726 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda2))))) into (- (* 1/6 (sin lambda2))) 10.726 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 10.726 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 10.726 * [taylor]: Taking taylor expansion of 1/6 in lambda2 10.726 * [backup-simplify]: Simplify 1/6 into 1/6 10.726 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 10.726 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.726 * [backup-simplify]: Simplify 0 into 0 10.727 * [backup-simplify]: Simplify 1 into 1 10.727 * [backup-simplify]: Simplify (* 1/6 0) into 0 10.727 * [backup-simplify]: Simplify (- 0) into 0 10.727 * [backup-simplify]: Simplify 0 into 0 10.727 * [backup-simplify]: Simplify 0 into 0 10.728 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.728 * [backup-simplify]: Simplify 0 into 0 10.728 * [backup-simplify]: Simplify 0 into 0 10.731 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 10.732 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.740 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 10.741 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 10.741 * [backup-simplify]: Simplify (+ 0 0) into 0 10.742 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 10.743 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda2)))))) into 0 10.743 * [taylor]: Taking taylor expansion of 0 in lambda2 10.743 * [backup-simplify]: Simplify 0 into 0 10.743 * [backup-simplify]: Simplify 0 into 0 10.743 * [backup-simplify]: Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1) 10.743 * [backup-simplify]: Simplify (log (exp (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 10.743 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in (lambda1 lambda2) around 0 10.743 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 10.743 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 10.743 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 10.743 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.743 * [backup-simplify]: Simplify 0 into 0 10.743 * [backup-simplify]: Simplify 1 into 1 10.744 * [backup-simplify]: Simplify (/ 1 1) into 1 10.744 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 10.744 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 10.744 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 10.744 * [taylor]: Taking taylor expansion of lambda1 in lambda2 10.744 * [backup-simplify]: Simplify lambda1 into lambda1 10.744 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 10.744 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 10.744 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 10.744 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 10.744 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 10.744 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 10.744 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.744 * [backup-simplify]: Simplify lambda2 into lambda2 10.744 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 10.744 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 10.744 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 10.744 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 10.744 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 10.744 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.744 * [backup-simplify]: Simplify 0 into 0 10.744 * [backup-simplify]: Simplify 1 into 1 10.744 * [backup-simplify]: Simplify (/ 1 1) into 1 10.744 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 10.744 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 10.744 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 10.744 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 10.744 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.744 * [backup-simplify]: Simplify lambda2 into lambda2 10.745 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 10.745 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 10.745 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 10.745 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 10.745 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 10.745 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.745 * [backup-simplify]: Simplify 0 into 0 10.745 * [backup-simplify]: Simplify 1 into 1 10.745 * [backup-simplify]: Simplify (/ 1 1) into 1 10.745 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 10.745 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 10.745 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 10.745 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 10.745 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 10.745 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 10.745 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 10.745 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 10.745 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.745 * [backup-simplify]: Simplify 0 into 0 10.745 * [backup-simplify]: Simplify 1 into 1 10.746 * [backup-simplify]: Simplify (/ 1 1) into 1 10.746 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 10.746 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 10.746 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 10.746 * [taylor]: Taking taylor expansion of lambda1 in lambda2 10.746 * [backup-simplify]: Simplify lambda1 into lambda1 10.746 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 10.746 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 10.746 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 10.746 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 10.746 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 10.746 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 10.746 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 10.746 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 10.746 * [backup-simplify]: Simplify (+ 0) into 0 10.747 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 10.747 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 10.747 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.748 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 10.748 * [backup-simplify]: Simplify (+ 0 0) into 0 10.748 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 10.748 * [taylor]: Taking taylor expansion of 0 in lambda2 10.748 * [backup-simplify]: Simplify 0 into 0 10.748 * [backup-simplify]: Simplify 0 into 0 10.748 * [backup-simplify]: Simplify (+ 0) into 0 10.749 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 10.749 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 10.749 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.749 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 10.750 * [backup-simplify]: Simplify (+ 0 0) into 0 10.750 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 10.750 * [backup-simplify]: Simplify 0 into 0 10.750 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.751 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 10.751 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 10.751 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.752 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 10.752 * [backup-simplify]: Simplify (+ 0 0) into 0 10.752 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 10.752 * [taylor]: Taking taylor expansion of 0 in lambda2 10.752 * [backup-simplify]: Simplify 0 into 0 10.752 * [backup-simplify]: Simplify 0 into 0 10.752 * [backup-simplify]: Simplify 0 into 0 10.753 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.753 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 10.753 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 10.754 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.754 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 10.754 * [backup-simplify]: Simplify (+ 0 0) into 0 10.755 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 10.755 * [backup-simplify]: Simplify 0 into 0 10.755 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.756 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.756 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 10.757 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.757 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.758 * [backup-simplify]: Simplify (+ 0 0) into 0 10.758 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0 10.758 * [taylor]: Taking taylor expansion of 0 in lambda2 10.758 * [backup-simplify]: Simplify 0 into 0 10.758 * [backup-simplify]: Simplify 0 into 0 10.758 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))) into (* (sin lambda2) (sin lambda1)) 10.759 * [backup-simplify]: Simplify (log (exp (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 10.759 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 10.759 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 10.759 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 10.759 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 10.759 * [taylor]: Taking taylor expansion of -1 in lambda2 10.759 * [backup-simplify]: Simplify -1 into -1 10.759 * [taylor]: Taking taylor expansion of lambda1 in lambda2 10.759 * [backup-simplify]: Simplify lambda1 into lambda1 10.759 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 10.759 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 10.759 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 10.759 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 10.759 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 10.759 * [taylor]: Taking taylor expansion of -1 in lambda2 10.759 * [backup-simplify]: Simplify -1 into -1 10.759 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.759 * [backup-simplify]: Simplify 0 into 0 10.759 * [backup-simplify]: Simplify 1 into 1 10.759 * [backup-simplify]: Simplify (/ -1 1) into -1 10.759 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 10.760 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 10.760 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 10.760 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 10.760 * [taylor]: Taking taylor expansion of -1 in lambda1 10.760 * [backup-simplify]: Simplify -1 into -1 10.760 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.760 * [backup-simplify]: Simplify 0 into 0 10.760 * [backup-simplify]: Simplify 1 into 1 10.760 * [backup-simplify]: Simplify (/ -1 1) into -1 10.760 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 10.760 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 10.760 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 10.760 * [taylor]: Taking taylor expansion of -1 in lambda1 10.760 * [backup-simplify]: Simplify -1 into -1 10.760 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.760 * [backup-simplify]: Simplify lambda2 into lambda2 10.760 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 10.760 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 10.760 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 10.760 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 10.760 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 10.760 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 10.760 * [taylor]: Taking taylor expansion of -1 in lambda1 10.760 * [backup-simplify]: Simplify -1 into -1 10.760 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.760 * [backup-simplify]: Simplify 0 into 0 10.760 * [backup-simplify]: Simplify 1 into 1 10.761 * [backup-simplify]: Simplify (/ -1 1) into -1 10.761 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 10.761 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 10.761 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 10.761 * [taylor]: Taking taylor expansion of -1 in lambda1 10.761 * [backup-simplify]: Simplify -1 into -1 10.761 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.761 * [backup-simplify]: Simplify lambda2 into lambda2 10.761 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 10.761 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 10.761 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 10.761 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 10.761 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 10.761 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 10.761 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 10.761 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 10.761 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 10.761 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 10.761 * [taylor]: Taking taylor expansion of -1 in lambda2 10.761 * [backup-simplify]: Simplify -1 into -1 10.761 * [taylor]: Taking taylor expansion of lambda1 in lambda2 10.761 * [backup-simplify]: Simplify lambda1 into lambda1 10.761 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 10.761 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 10.761 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 10.761 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 10.761 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 10.761 * [taylor]: Taking taylor expansion of -1 in lambda2 10.761 * [backup-simplify]: Simplify -1 into -1 10.761 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.761 * [backup-simplify]: Simplify 0 into 0 10.761 * [backup-simplify]: Simplify 1 into 1 10.762 * [backup-simplify]: Simplify (/ -1 1) into -1 10.762 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 10.762 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 10.762 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 10.762 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 10.762 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 10.762 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 10.762 * [backup-simplify]: Simplify (+ 0) into 0 10.763 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 10.763 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 10.763 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.764 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 10.764 * [backup-simplify]: Simplify (+ 0 0) into 0 10.764 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 10.764 * [taylor]: Taking taylor expansion of 0 in lambda2 10.764 * [backup-simplify]: Simplify 0 into 0 10.764 * [backup-simplify]: Simplify 0 into 0 10.764 * [backup-simplify]: Simplify (+ 0) into 0 10.765 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 10.765 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 10.765 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.766 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 10.766 * [backup-simplify]: Simplify (+ 0 0) into 0 10.766 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 10.766 * [backup-simplify]: Simplify 0 into 0 10.767 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.768 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 10.768 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 10.769 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.769 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 10.770 * [backup-simplify]: Simplify (+ 0 0) into 0 10.770 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 10.770 * [taylor]: Taking taylor expansion of 0 in lambda2 10.770 * [backup-simplify]: Simplify 0 into 0 10.770 * [backup-simplify]: Simplify 0 into 0 10.770 * [backup-simplify]: Simplify 0 into 0 10.771 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.772 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 10.772 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 10.773 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.774 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 10.774 * [backup-simplify]: Simplify (+ 0 0) into 0 10.774 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 10.774 * [backup-simplify]: Simplify 0 into 0 10.775 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.776 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.777 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 10.778 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.779 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.779 * [backup-simplify]: Simplify (+ 0 0) into 0 10.780 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 10.780 * [taylor]: Taking taylor expansion of 0 in lambda2 10.780 * [backup-simplify]: Simplify 0 into 0 10.780 * [backup-simplify]: Simplify 0 into 0 10.780 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2)) 10.780 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 10.781 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 10.781 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 10.781 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 10.782 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 10.782 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 10.782 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 10.782 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 10.782 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 10.782 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 10.783 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 10.783 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 10.783 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 10.783 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 10.784 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 10.784 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 10.784 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 10.784 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 10.784 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 10.785 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 10.785 * [taylor]: Taking taylor expansion of 0 in phi2 10.785 * [backup-simplify]: Simplify 0 into 0 10.785 * [taylor]: Taking taylor expansion of 0 in lambda1 10.785 * [backup-simplify]: Simplify 0 into 0 10.785 * [taylor]: Taking taylor expansion of 0 in lambda2 10.785 * [backup-simplify]: Simplify 0 into 0 10.785 * [backup-simplify]: Simplify 0 into 0 10.785 * [taylor]: Taking taylor expansion of 0 in lambda1 10.785 * [backup-simplify]: Simplify 0 into 0 10.785 * [taylor]: Taking taylor expansion of 0 in lambda2 10.785 * [backup-simplify]: Simplify 0 into 0 10.785 * [backup-simplify]: Simplify 0 into 0 10.785 * [taylor]: Taking taylor expansion of 0 in lambda2 10.785 * [backup-simplify]: Simplify 0 into 0 10.785 * [backup-simplify]: Simplify 0 into 0 10.785 * [backup-simplify]: Simplify 0 into 0 10.785 * [taylor]: Taking taylor expansion of 0 in phi2 10.785 * [backup-simplify]: Simplify 0 into 0 10.785 * [taylor]: Taking taylor expansion of 0 in lambda1 10.785 * [backup-simplify]: Simplify 0 into 0 10.785 * [taylor]: Taking taylor expansion of 0 in lambda2 10.785 * [backup-simplify]: Simplify 0 into 0 10.785 * [backup-simplify]: Simplify 0 into 0 10.785 * [taylor]: Taking taylor expansion of 0 in lambda1 10.785 * [backup-simplify]: Simplify 0 into 0 10.785 * [taylor]: Taking taylor expansion of 0 in lambda2 10.785 * [backup-simplify]: Simplify 0 into 0 10.785 * [backup-simplify]: Simplify 0 into 0 10.785 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 10.786 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (log (exp (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.786 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 10.786 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 10.786 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.786 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 10.787 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.787 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 10.787 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.787 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 10.788 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.788 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 10.788 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.788 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 10.788 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.788 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 10.789 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.789 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 10.789 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.790 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.790 * [taylor]: Taking taylor expansion of 0 in phi2 10.790 * [backup-simplify]: Simplify 0 into 0 10.790 * [taylor]: Taking taylor expansion of 0 in lambda1 10.790 * [backup-simplify]: Simplify 0 into 0 10.790 * [taylor]: Taking taylor expansion of 0 in lambda2 10.790 * [backup-simplify]: Simplify 0 into 0 10.790 * [backup-simplify]: Simplify 0 into 0 10.790 * [taylor]: Taking taylor expansion of 0 in lambda1 10.790 * [backup-simplify]: Simplify 0 into 0 10.790 * [taylor]: Taking taylor expansion of 0 in lambda2 10.790 * [backup-simplify]: Simplify 0 into 0 10.790 * [backup-simplify]: Simplify 0 into 0 10.790 * [taylor]: Taking taylor expansion of 0 in lambda2 10.790 * [backup-simplify]: Simplify 0 into 0 10.790 * [backup-simplify]: Simplify 0 into 0 10.790 * [backup-simplify]: Simplify 0 into 0 10.790 * [taylor]: Taking taylor expansion of 0 in phi2 10.790 * [backup-simplify]: Simplify 0 into 0 10.790 * [taylor]: Taking taylor expansion of 0 in lambda1 10.790 * [backup-simplify]: Simplify 0 into 0 10.790 * [taylor]: Taking taylor expansion of 0 in lambda2 10.790 * [backup-simplify]: Simplify 0 into 0 10.790 * [backup-simplify]: Simplify 0 into 0 10.790 * [taylor]: Taking taylor expansion of 0 in lambda1 10.790 * [backup-simplify]: Simplify 0 into 0 10.790 * [taylor]: Taking taylor expansion of 0 in lambda2 10.790 * [backup-simplify]: Simplify 0 into 0 10.790 * [backup-simplify]: Simplify 0 into 0 10.791 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 10.791 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (log (exp (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 10.791 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 10.791 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 10.792 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 10.792 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 10.792 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 10.792 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 10.793 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 10.793 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 10.793 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 10.793 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 10.793 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 10.793 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 10.794 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 10.794 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 10.794 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 10.794 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 10.795 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 10.795 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 10.795 * [taylor]: Taking taylor expansion of 0 in phi2 10.795 * [backup-simplify]: Simplify 0 into 0 10.795 * [taylor]: Taking taylor expansion of 0 in lambda1 10.795 * [backup-simplify]: Simplify 0 into 0 10.795 * [taylor]: Taking taylor expansion of 0 in lambda2 10.795 * [backup-simplify]: Simplify 0 into 0 10.795 * [backup-simplify]: Simplify 0 into 0 10.795 * [taylor]: Taking taylor expansion of 0 in lambda1 10.795 * [backup-simplify]: Simplify 0 into 0 10.795 * [taylor]: Taking taylor expansion of 0 in lambda2 10.795 * [backup-simplify]: Simplify 0 into 0 10.795 * [backup-simplify]: Simplify 0 into 0 10.795 * [taylor]: Taking taylor expansion of 0 in lambda2 10.795 * [backup-simplify]: Simplify 0 into 0 10.796 * [backup-simplify]: Simplify 0 into 0 10.796 * [backup-simplify]: Simplify 0 into 0 10.796 * [taylor]: Taking taylor expansion of 0 in phi2 10.796 * [backup-simplify]: Simplify 0 into 0 10.796 * [taylor]: Taking taylor expansion of 0 in lambda1 10.796 * [backup-simplify]: Simplify 0 into 0 10.796 * [taylor]: Taking taylor expansion of 0 in lambda2 10.796 * [backup-simplify]: Simplify 0 into 0 10.796 * [backup-simplify]: Simplify 0 into 0 10.796 * [taylor]: Taking taylor expansion of 0 in lambda1 10.796 * [backup-simplify]: Simplify 0 into 0 10.796 * [taylor]: Taking taylor expansion of 0 in lambda2 10.796 * [backup-simplify]: Simplify 0 into 0 10.796 * [backup-simplify]: Simplify 0 into 0 10.796 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 10.796 * * * * [progress]: [ 3 / 4 ] generating series at (2) 10.797 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 10.797 * [approximate]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in (phi1 phi2 lambda1 lambda2 R) around 0 10.797 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R 10.797 * [taylor]: Taking taylor expansion of R in R 10.797 * [backup-simplify]: Simplify 0 into 0 10.797 * [backup-simplify]: Simplify 1 into 1 10.797 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R 10.797 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 10.797 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 10.797 * [taylor]: Taking taylor expansion of R in lambda2 10.797 * [backup-simplify]: Simplify R into R 10.797 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 10.797 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 10.797 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 10.797 * [taylor]: Taking taylor expansion of R in lambda1 10.797 * [backup-simplify]: Simplify R into R 10.797 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 10.798 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 10.798 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 10.798 * [taylor]: Taking taylor expansion of R in phi2 10.798 * [backup-simplify]: Simplify R into R 10.798 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 10.798 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 10.798 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 10.798 * [taylor]: Taking taylor expansion of R in phi1 10.798 * [backup-simplify]: Simplify R into R 10.798 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 10.799 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 10.799 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 10.799 * [taylor]: Taking taylor expansion of R in phi1 10.799 * [backup-simplify]: Simplify R into R 10.799 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 10.799 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 10.799 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 10.799 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 10.799 * [taylor]: Taking taylor expansion of R in phi2 10.799 * [backup-simplify]: Simplify R into R 10.799 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 10.800 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 10.800 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 10.800 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 10.800 * [taylor]: Taking taylor expansion of R in lambda1 10.800 * [backup-simplify]: Simplify R into R 10.800 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 10.800 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 10.801 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 10.801 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 10.801 * [taylor]: Taking taylor expansion of R in lambda2 10.801 * [backup-simplify]: Simplify R into R 10.801 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 10.801 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 10.801 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 10.801 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R 10.801 * [taylor]: Taking taylor expansion of R in R 10.801 * [backup-simplify]: Simplify 0 into 0 10.801 * [backup-simplify]: Simplify 1 into 1 10.801 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R 10.802 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 10.802 * [backup-simplify]: Simplify (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into 0 10.802 * [backup-simplify]: Simplify 0 into 0 10.802 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 10.802 * [taylor]: Taking taylor expansion of 0 in phi2 10.802 * [backup-simplify]: Simplify 0 into 0 10.802 * [taylor]: Taking taylor expansion of 0 in lambda1 10.802 * [backup-simplify]: Simplify 0 into 0 10.802 * [taylor]: Taking taylor expansion of 0 in lambda2 10.803 * [backup-simplify]: Simplify 0 into 0 10.803 * [taylor]: Taking taylor expansion of 0 in R 10.803 * [backup-simplify]: Simplify 0 into 0 10.803 * [backup-simplify]: Simplify 0 into 0 10.803 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 10.803 * [taylor]: Taking taylor expansion of 0 in lambda1 10.803 * [backup-simplify]: Simplify 0 into 0 10.803 * [taylor]: Taking taylor expansion of 0 in lambda2 10.803 * [backup-simplify]: Simplify 0 into 0 10.803 * [taylor]: Taking taylor expansion of 0 in R 10.803 * [backup-simplify]: Simplify 0 into 0 10.803 * [backup-simplify]: Simplify 0 into 0 10.803 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 10.803 * [taylor]: Taking taylor expansion of 0 in lambda2 10.803 * [backup-simplify]: Simplify 0 into 0 10.803 * [taylor]: Taking taylor expansion of 0 in R 10.803 * [backup-simplify]: Simplify 0 into 0 10.803 * [backup-simplify]: Simplify 0 into 0 10.804 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 10.804 * [taylor]: Taking taylor expansion of 0 in R 10.804 * [backup-simplify]: Simplify 0 into 0 10.804 * [backup-simplify]: Simplify 0 into 0 10.805 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 10.805 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 10.806 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 10.806 * [taylor]: Taking taylor expansion of 0 in phi2 10.806 * [backup-simplify]: Simplify 0 into 0 10.806 * [taylor]: Taking taylor expansion of 0 in lambda1 10.806 * [backup-simplify]: Simplify 0 into 0 10.806 * [taylor]: Taking taylor expansion of 0 in lambda2 10.806 * [backup-simplify]: Simplify 0 into 0 10.806 * [taylor]: Taking taylor expansion of 0 in R 10.806 * [backup-simplify]: Simplify 0 into 0 10.806 * [backup-simplify]: Simplify 0 into 0 10.806 * [taylor]: Taking taylor expansion of 0 in lambda1 10.806 * [backup-simplify]: Simplify 0 into 0 10.806 * [taylor]: Taking taylor expansion of 0 in lambda2 10.806 * [backup-simplify]: Simplify 0 into 0 10.806 * [taylor]: Taking taylor expansion of 0 in R 10.806 * [backup-simplify]: Simplify 0 into 0 10.806 * [backup-simplify]: Simplify 0 into 0 10.807 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 10.807 * [taylor]: Taking taylor expansion of 0 in lambda1 10.807 * [backup-simplify]: Simplify 0 into 0 10.807 * [taylor]: Taking taylor expansion of 0 in lambda2 10.807 * [backup-simplify]: Simplify 0 into 0 10.807 * [taylor]: Taking taylor expansion of 0 in R 10.807 * [backup-simplify]: Simplify 0 into 0 10.807 * [backup-simplify]: Simplify 0 into 0 10.807 * [taylor]: Taking taylor expansion of 0 in lambda2 10.807 * [backup-simplify]: Simplify 0 into 0 10.807 * [taylor]: Taking taylor expansion of 0 in R 10.807 * [backup-simplify]: Simplify 0 into 0 10.807 * [backup-simplify]: Simplify 0 into 0 10.807 * [taylor]: Taking taylor expansion of 0 in lambda2 10.807 * [backup-simplify]: Simplify 0 into 0 10.807 * [taylor]: Taking taylor expansion of 0 in R 10.807 * [backup-simplify]: Simplify 0 into 0 10.807 * [backup-simplify]: Simplify 0 into 0 10.808 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 10.808 * [taylor]: Taking taylor expansion of 0 in lambda2 10.808 * [backup-simplify]: Simplify 0 into 0 10.808 * [taylor]: Taking taylor expansion of 0 in R 10.808 * [backup-simplify]: Simplify 0 into 0 10.808 * [backup-simplify]: Simplify 0 into 0 10.808 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* R (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 10.809 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (log (exp (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))))) (/ 1 R)) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 10.809 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 10.809 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R 10.809 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R 10.809 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.809 * [taylor]: Taking taylor expansion of R in R 10.809 * [backup-simplify]: Simplify 0 into 0 10.809 * [backup-simplify]: Simplify 1 into 1 10.810 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.810 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2 10.810 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 10.810 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.810 * [taylor]: Taking taylor expansion of R in lambda2 10.810 * [backup-simplify]: Simplify R into R 10.811 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 10.811 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1 10.811 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 10.811 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.811 * [taylor]: Taking taylor expansion of R in lambda1 10.811 * [backup-simplify]: Simplify R into R 10.812 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 10.812 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2 10.812 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 10.812 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.812 * [taylor]: Taking taylor expansion of R in phi2 10.812 * [backup-simplify]: Simplify R into R 10.813 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 10.813 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1 10.813 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 10.813 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.813 * [taylor]: Taking taylor expansion of R in phi1 10.813 * [backup-simplify]: Simplify R into R 10.814 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 10.814 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1 10.814 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 10.814 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.814 * [taylor]: Taking taylor expansion of R in phi1 10.814 * [backup-simplify]: Simplify R into R 10.814 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 10.815 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2 10.815 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 10.815 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.815 * [taylor]: Taking taylor expansion of R in phi2 10.815 * [backup-simplify]: Simplify R into R 10.815 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 10.815 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1 10.816 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 10.816 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.816 * [taylor]: Taking taylor expansion of R in lambda1 10.816 * [backup-simplify]: Simplify R into R 10.816 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 10.816 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2 10.816 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 10.817 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.817 * [taylor]: Taking taylor expansion of R in lambda2 10.817 * [backup-simplify]: Simplify R into R 10.817 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 10.817 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R 10.817 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R 10.818 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.818 * [taylor]: Taking taylor expansion of R in R 10.818 * [backup-simplify]: Simplify 0 into 0 10.818 * [backup-simplify]: Simplify 1 into 1 10.819 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.819 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.820 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 10.820 * [taylor]: Taking taylor expansion of 0 in phi2 10.820 * [backup-simplify]: Simplify 0 into 0 10.821 * [taylor]: Taking taylor expansion of 0 in lambda1 10.821 * [backup-simplify]: Simplify 0 into 0 10.821 * [taylor]: Taking taylor expansion of 0 in lambda2 10.821 * [backup-simplify]: Simplify 0 into 0 10.821 * [taylor]: Taking taylor expansion of 0 in R 10.821 * [backup-simplify]: Simplify 0 into 0 10.822 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 10.822 * [taylor]: Taking taylor expansion of 0 in lambda1 10.822 * [backup-simplify]: Simplify 0 into 0 10.822 * [taylor]: Taking taylor expansion of 0 in lambda2 10.822 * [backup-simplify]: Simplify 0 into 0 10.822 * [taylor]: Taking taylor expansion of 0 in R 10.822 * [backup-simplify]: Simplify 0 into 0 10.823 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 10.823 * [taylor]: Taking taylor expansion of 0 in lambda2 10.823 * [backup-simplify]: Simplify 0 into 0 10.823 * [taylor]: Taking taylor expansion of 0 in R 10.823 * [backup-simplify]: Simplify 0 into 0 10.824 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 10.824 * [taylor]: Taking taylor expansion of 0 in R 10.824 * [backup-simplify]: Simplify 0 into 0 10.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)))) into 0 10.826 * [backup-simplify]: Simplify 0 into 0 10.827 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 10.827 * [taylor]: Taking taylor expansion of 0 in phi2 10.827 * [backup-simplify]: Simplify 0 into 0 10.827 * [taylor]: Taking taylor expansion of 0 in lambda1 10.827 * [backup-simplify]: Simplify 0 into 0 10.827 * [taylor]: Taking taylor expansion of 0 in lambda2 10.827 * [backup-simplify]: Simplify 0 into 0 10.827 * [taylor]: Taking taylor expansion of 0 in R 10.827 * [backup-simplify]: Simplify 0 into 0 10.827 * [taylor]: Taking taylor expansion of 0 in lambda1 10.827 * [backup-simplify]: Simplify 0 into 0 10.827 * [taylor]: Taking taylor expansion of 0 in lambda2 10.827 * [backup-simplify]: Simplify 0 into 0 10.827 * [taylor]: Taking taylor expansion of 0 in R 10.827 * [backup-simplify]: Simplify 0 into 0 10.828 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 10.828 * [taylor]: Taking taylor expansion of 0 in lambda1 10.828 * [backup-simplify]: Simplify 0 into 0 10.828 * [taylor]: Taking taylor expansion of 0 in lambda2 10.828 * [backup-simplify]: Simplify 0 into 0 10.828 * [taylor]: Taking taylor expansion of 0 in R 10.829 * [backup-simplify]: Simplify 0 into 0 10.829 * [taylor]: Taking taylor expansion of 0 in lambda2 10.829 * [backup-simplify]: Simplify 0 into 0 10.829 * [taylor]: Taking taylor expansion of 0 in R 10.829 * [backup-simplify]: Simplify 0 into 0 10.829 * [taylor]: Taking taylor expansion of 0 in lambda2 10.829 * [backup-simplify]: Simplify 0 into 0 10.829 * [taylor]: Taking taylor expansion of 0 in R 10.829 * [backup-simplify]: Simplify 0 into 0 10.830 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 10.830 * [taylor]: Taking taylor expansion of 0 in lambda2 10.830 * [backup-simplify]: Simplify 0 into 0 10.830 * [taylor]: Taking taylor expansion of 0 in R 10.830 * [backup-simplify]: Simplify 0 into 0 10.830 * [taylor]: Taking taylor expansion of 0 in R 10.830 * [backup-simplify]: Simplify 0 into 0 10.830 * [taylor]: Taking taylor expansion of 0 in R 10.830 * [backup-simplify]: Simplify 0 into 0 10.830 * [taylor]: Taking taylor expansion of 0 in R 10.830 * [backup-simplify]: Simplify 0 into 0 10.831 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 10.831 * [taylor]: Taking taylor expansion of 0 in R 10.831 * [backup-simplify]: Simplify 0 into 0 10.831 * [backup-simplify]: Simplify 0 into 0 10.831 * [backup-simplify]: Simplify 0 into 0 10.831 * [backup-simplify]: Simplify 0 into 0 10.831 * [backup-simplify]: Simplify 0 into 0 10.837 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.838 * [backup-simplify]: Simplify 0 into 0 10.839 * [backup-simplify]: Simplify (* (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 10.840 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (log (exp (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))))) (/ 1 (- R))) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 10.840 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 10.840 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R 10.840 * [taylor]: Taking taylor expansion of -1 in R 10.840 * [backup-simplify]: Simplify -1 into -1 10.840 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R 10.840 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R 10.841 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 10.841 * [taylor]: Taking taylor expansion of R in R 10.841 * [backup-simplify]: Simplify 0 into 0 10.841 * [backup-simplify]: Simplify 1 into 1 10.842 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 10.842 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda2 10.842 * [taylor]: Taking taylor expansion of -1 in lambda2 10.842 * [backup-simplify]: Simplify -1 into -1 10.842 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda2 10.842 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 10.843 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 10.843 * [taylor]: Taking taylor expansion of R in lambda2 10.843 * [backup-simplify]: Simplify R into R 10.844 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 10.844 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1 10.844 * [taylor]: Taking taylor expansion of -1 in lambda1 10.844 * [backup-simplify]: Simplify -1 into -1 10.844 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1 10.844 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 10.845 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 10.845 * [taylor]: Taking taylor expansion of R in lambda1 10.845 * [backup-simplify]: Simplify R into R 10.846 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 10.846 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi2 10.846 * [taylor]: Taking taylor expansion of -1 in phi2 10.846 * [backup-simplify]: Simplify -1 into -1 10.846 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi2 10.846 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 10.847 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 10.847 * [taylor]: Taking taylor expansion of R in phi2 10.847 * [backup-simplify]: Simplify R into R 10.847 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 10.847 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1 10.847 * [taylor]: Taking taylor expansion of -1 in phi1 10.848 * [backup-simplify]: Simplify -1 into -1 10.848 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1 10.848 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 10.848 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 10.848 * [taylor]: Taking taylor expansion of R in phi1 10.848 * [backup-simplify]: Simplify R into R 10.849 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 10.849 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1 10.849 * [taylor]: Taking taylor expansion of -1 in phi1 10.849 * [backup-simplify]: Simplify -1 into -1 10.849 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1 10.849 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 10.850 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 10.850 * [taylor]: Taking taylor expansion of R in phi1 10.850 * [backup-simplify]: Simplify R into R 10.851 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 10.852 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) 10.852 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in phi2 10.852 * [taylor]: Taking taylor expansion of -1 in phi2 10.852 * [backup-simplify]: Simplify -1 into -1 10.852 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in phi2 10.852 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 10.853 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 10.853 * [taylor]: Taking taylor expansion of R in phi2 10.853 * [backup-simplify]: Simplify R into R 10.854 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) 10.854 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 10.854 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1 10.854 * [taylor]: Taking taylor expansion of -1 in lambda1 10.854 * [backup-simplify]: Simplify -1 into -1 10.854 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1 10.855 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 10.855 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 10.855 * [taylor]: Taking taylor expansion of R in lambda1 10.855 * [backup-simplify]: Simplify R into R 10.856 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 10.857 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) 10.857 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in lambda2 10.857 * [taylor]: Taking taylor expansion of -1 in lambda2 10.857 * [backup-simplify]: Simplify -1 into -1 10.857 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in lambda2 10.857 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 10.858 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 10.858 * [taylor]: Taking taylor expansion of R in lambda2 10.858 * [backup-simplify]: Simplify R into R 10.859 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) 10.860 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 10.860 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R 10.860 * [taylor]: Taking taylor expansion of -1 in R 10.860 * [backup-simplify]: Simplify -1 into -1 10.860 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R 10.860 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R 10.861 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 10.861 * [taylor]: Taking taylor expansion of R in R 10.861 * [backup-simplify]: Simplify 0 into 0 10.861 * [backup-simplify]: Simplify 1 into 1 10.862 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 10.863 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) 10.864 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 10.865 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0 10.867 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0 10.867 * [taylor]: Taking taylor expansion of 0 in phi2 10.867 * [backup-simplify]: Simplify 0 into 0 10.867 * [taylor]: Taking taylor expansion of 0 in lambda1 10.867 * [backup-simplify]: Simplify 0 into 0 10.867 * [taylor]: Taking taylor expansion of 0 in lambda2 10.867 * [backup-simplify]: Simplify 0 into 0 10.867 * [taylor]: Taking taylor expansion of 0 in R 10.867 * [backup-simplify]: Simplify 0 into 0 10.868 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0 10.869 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0 10.869 * [taylor]: Taking taylor expansion of 0 in lambda1 10.869 * [backup-simplify]: Simplify 0 into 0 10.869 * [taylor]: Taking taylor expansion of 0 in lambda2 10.869 * [backup-simplify]: Simplify 0 into 0 10.869 * [taylor]: Taking taylor expansion of 0 in R 10.869 * [backup-simplify]: Simplify 0 into 0 10.870 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0 10.872 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0 10.872 * [taylor]: Taking taylor expansion of 0 in lambda2 10.872 * [backup-simplify]: Simplify 0 into 0 10.872 * [taylor]: Taking taylor expansion of 0 in R 10.872 * [backup-simplify]: Simplify 0 into 0 10.873 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0 10.875 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0 10.875 * [taylor]: Taking taylor expansion of 0 in R 10.875 * [backup-simplify]: Simplify 0 into 0 10.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)))) into 0 10.878 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into 0 10.878 * [backup-simplify]: Simplify 0 into 0 10.879 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 10.881 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0 10.881 * [taylor]: Taking taylor expansion of 0 in phi2 10.881 * [backup-simplify]: Simplify 0 into 0 10.881 * [taylor]: Taking taylor expansion of 0 in lambda1 10.881 * [backup-simplify]: Simplify 0 into 0 10.881 * [taylor]: Taking taylor expansion of 0 in lambda2 10.881 * [backup-simplify]: Simplify 0 into 0 10.881 * [taylor]: Taking taylor expansion of 0 in R 10.881 * [backup-simplify]: Simplify 0 into 0 10.881 * [taylor]: Taking taylor expansion of 0 in lambda1 10.881 * [backup-simplify]: Simplify 0 into 0 10.881 * [taylor]: Taking taylor expansion of 0 in lambda2 10.882 * [backup-simplify]: Simplify 0 into 0 10.882 * [taylor]: Taking taylor expansion of 0 in R 10.882 * [backup-simplify]: Simplify 0 into 0 10.883 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 10.884 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0 10.884 * [taylor]: Taking taylor expansion of 0 in lambda1 10.884 * [backup-simplify]: Simplify 0 into 0 10.885 * [taylor]: Taking taylor expansion of 0 in lambda2 10.885 * [backup-simplify]: Simplify 0 into 0 10.885 * [taylor]: Taking taylor expansion of 0 in R 10.885 * [backup-simplify]: Simplify 0 into 0 10.885 * [taylor]: Taking taylor expansion of 0 in lambda2 10.885 * [backup-simplify]: Simplify 0 into 0 10.885 * [taylor]: Taking taylor expansion of 0 in R 10.885 * [backup-simplify]: Simplify 0 into 0 10.885 * [taylor]: Taking taylor expansion of 0 in lambda2 10.885 * [backup-simplify]: Simplify 0 into 0 10.885 * [taylor]: Taking taylor expansion of 0 in R 10.885 * [backup-simplify]: Simplify 0 into 0 10.886 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 10.888 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0 10.888 * [taylor]: Taking taylor expansion of 0 in lambda2 10.888 * [backup-simplify]: Simplify 0 into 0 10.888 * [taylor]: Taking taylor expansion of 0 in R 10.888 * [backup-simplify]: Simplify 0 into 0 10.888 * [taylor]: Taking taylor expansion of 0 in R 10.888 * [backup-simplify]: Simplify 0 into 0 10.888 * [taylor]: Taking taylor expansion of 0 in R 10.888 * [backup-simplify]: Simplify 0 into 0 10.888 * [taylor]: Taking taylor expansion of 0 in R 10.888 * [backup-simplify]: Simplify 0 into 0 10.889 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 10.891 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0 10.891 * [taylor]: Taking taylor expansion of 0 in R 10.891 * [backup-simplify]: Simplify 0 into 0 10.891 * [backup-simplify]: Simplify 0 into 0 10.891 * [backup-simplify]: Simplify 0 into 0 10.891 * [backup-simplify]: Simplify 0 into 0 10.891 * [backup-simplify]: Simplify 0 into 0 10.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.896 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))))) into 0 10.896 * [backup-simplify]: Simplify 0 into 0 10.898 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 10.898 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 10.898 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2)) 10.898 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 10.898 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 10.898 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 10.898 * [taylor]: Taking taylor expansion of phi1 in phi2 10.898 * [backup-simplify]: Simplify phi1 into phi1 10.898 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 10.898 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 10.898 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 10.898 * [taylor]: Taking taylor expansion of phi2 in phi2 10.898 * [backup-simplify]: Simplify 0 into 0 10.898 * [backup-simplify]: Simplify 1 into 1 10.898 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 10.898 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 10.898 * [taylor]: Taking taylor expansion of phi1 in phi1 10.898 * [backup-simplify]: Simplify 0 into 0 10.898 * [backup-simplify]: Simplify 1 into 1 10.898 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 10.898 * [taylor]: Taking taylor expansion of phi2 in phi1 10.898 * [backup-simplify]: Simplify phi2 into phi2 10.898 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 10.899 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 10.899 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 10.899 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 10.899 * [taylor]: Taking taylor expansion of phi1 in phi1 10.899 * [backup-simplify]: Simplify 0 into 0 10.899 * [backup-simplify]: Simplify 1 into 1 10.899 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 10.899 * [taylor]: Taking taylor expansion of phi2 in phi1 10.899 * [backup-simplify]: Simplify phi2 into phi2 10.899 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 10.899 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 10.899 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 10.899 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 10.899 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 10.899 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 10.899 * [taylor]: Taking taylor expansion of 0 in phi2 10.899 * [backup-simplify]: Simplify 0 into 0 10.899 * [backup-simplify]: Simplify 0 into 0 10.900 * [backup-simplify]: Simplify (+ 0) into 0 10.900 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 10.901 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.901 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 10.902 * [backup-simplify]: Simplify (+ 0 0) into 0 10.903 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 10.903 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 10.903 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 10.903 * [taylor]: Taking taylor expansion of phi2 in phi2 10.903 * [backup-simplify]: Simplify 0 into 0 10.903 * [backup-simplify]: Simplify 1 into 1 10.903 * [backup-simplify]: Simplify 0 into 0 10.903 * [backup-simplify]: Simplify 0 into 0 10.904 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.905 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 10.906 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.906 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 10.907 * [backup-simplify]: Simplify (+ 0 0) into 0 10.907 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.908 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 10.908 * [taylor]: Taking taylor expansion of 0 in phi2 10.908 * [backup-simplify]: Simplify 0 into 0 10.908 * [backup-simplify]: Simplify 0 into 0 10.909 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 10.909 * [backup-simplify]: Simplify 1 into 1 10.909 * [backup-simplify]: Simplify 0 into 0 10.910 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.911 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.913 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.913 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.914 * [backup-simplify]: Simplify (+ 0 0) into 0 10.916 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 10.917 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 10.917 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 10.917 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 10.917 * [taylor]: Taking taylor expansion of 1/6 in phi2 10.917 * [backup-simplify]: Simplify 1/6 into 1/6 10.917 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 10.917 * [taylor]: Taking taylor expansion of phi2 in phi2 10.917 * [backup-simplify]: Simplify 0 into 0 10.917 * [backup-simplify]: Simplify 1 into 1 10.918 * [backup-simplify]: Simplify (* 1/6 0) into 0 10.918 * [backup-simplify]: Simplify (- 0) into 0 10.918 * [backup-simplify]: Simplify 0 into 0 10.918 * [backup-simplify]: Simplify 0 into 0 10.919 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.919 * [backup-simplify]: Simplify 0 into 0 10.919 * [backup-simplify]: Simplify 0 into 0 10.921 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 10.922 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.924 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 10.925 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 10.925 * [backup-simplify]: Simplify (+ 0 0) into 0 10.927 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 10.928 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 10.928 * [taylor]: Taking taylor expansion of 0 in phi2 10.928 * [backup-simplify]: Simplify 0 into 0 10.928 * [backup-simplify]: Simplify 0 into 0 10.928 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2) 10.929 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 10.929 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0 10.929 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 10.929 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 10.929 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 10.929 * [taylor]: Taking taylor expansion of phi2 in phi2 10.929 * [backup-simplify]: Simplify 0 into 0 10.929 * [backup-simplify]: Simplify 1 into 1 10.929 * [backup-simplify]: Simplify (/ 1 1) into 1 10.929 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 10.929 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 10.929 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 10.929 * [taylor]: Taking taylor expansion of phi1 in phi2 10.929 * [backup-simplify]: Simplify phi1 into phi1 10.929 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 10.930 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 10.930 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 10.930 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 10.930 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 10.930 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 10.930 * [taylor]: Taking taylor expansion of phi2 in phi1 10.930 * [backup-simplify]: Simplify phi2 into phi2 10.930 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 10.930 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 10.930 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 10.930 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 10.930 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 10.930 * [taylor]: Taking taylor expansion of phi1 in phi1 10.930 * [backup-simplify]: Simplify 0 into 0 10.930 * [backup-simplify]: Simplify 1 into 1 10.930 * [backup-simplify]: Simplify (/ 1 1) into 1 10.931 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 10.931 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 10.931 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 10.931 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 10.931 * [taylor]: Taking taylor expansion of phi2 in phi1 10.931 * [backup-simplify]: Simplify phi2 into phi2 10.931 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 10.931 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 10.931 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 10.931 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 10.931 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 10.931 * [taylor]: Taking taylor expansion of phi1 in phi1 10.931 * [backup-simplify]: Simplify 0 into 0 10.931 * [backup-simplify]: Simplify 1 into 1 10.931 * [backup-simplify]: Simplify (/ 1 1) into 1 10.931 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 10.932 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 10.932 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 10.932 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 10.932 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 10.932 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 10.932 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 10.932 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 10.932 * [taylor]: Taking taylor expansion of phi2 in phi2 10.932 * [backup-simplify]: Simplify 0 into 0 10.932 * [backup-simplify]: Simplify 1 into 1 10.932 * [backup-simplify]: Simplify (/ 1 1) into 1 10.933 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 10.933 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 10.933 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 10.933 * [taylor]: Taking taylor expansion of phi1 in phi2 10.933 * [backup-simplify]: Simplify phi1 into phi1 10.933 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 10.933 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 10.933 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 10.933 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 10.933 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 10.933 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 10.933 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 10.933 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 10.934 * [backup-simplify]: Simplify (+ 0) into 0 10.934 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 10.935 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 10.935 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.936 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 10.936 * [backup-simplify]: Simplify (+ 0 0) into 0 10.936 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 10.936 * [taylor]: Taking taylor expansion of 0 in phi2 10.937 * [backup-simplify]: Simplify 0 into 0 10.937 * [backup-simplify]: Simplify 0 into 0 10.937 * [backup-simplify]: Simplify (+ 0) into 0 10.938 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 10.938 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 10.938 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.939 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 10.939 * [backup-simplify]: Simplify (+ 0 0) into 0 10.939 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 10.939 * [backup-simplify]: Simplify 0 into 0 10.939 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.940 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 10.940 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 10.940 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.941 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 10.941 * [backup-simplify]: Simplify (+ 0 0) into 0 10.942 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 10.942 * [taylor]: Taking taylor expansion of 0 in phi2 10.942 * [backup-simplify]: Simplify 0 into 0 10.942 * [backup-simplify]: Simplify 0 into 0 10.942 * [backup-simplify]: Simplify 0 into 0 10.942 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.943 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 10.943 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 10.943 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.943 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 10.944 * [backup-simplify]: Simplify (+ 0 0) into 0 10.944 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 10.944 * [backup-simplify]: Simplify 0 into 0 10.945 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.945 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 10.946 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.947 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.947 * [backup-simplify]: Simplify (+ 0 0) into 0 10.947 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0 10.948 * [taylor]: Taking taylor expansion of 0 in phi2 10.948 * [backup-simplify]: Simplify 0 into 0 10.948 * [backup-simplify]: Simplify 0 into 0 10.948 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2)) 10.948 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 10.948 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 10.948 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 10.948 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 10.948 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 10.948 * [taylor]: Taking taylor expansion of -1 in phi2 10.948 * [backup-simplify]: Simplify -1 into -1 10.948 * [taylor]: Taking taylor expansion of phi1 in phi2 10.948 * [backup-simplify]: Simplify phi1 into phi1 10.948 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 10.948 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 10.948 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 10.948 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 10.948 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 10.948 * [taylor]: Taking taylor expansion of -1 in phi2 10.948 * [backup-simplify]: Simplify -1 into -1 10.948 * [taylor]: Taking taylor expansion of phi2 in phi2 10.948 * [backup-simplify]: Simplify 0 into 0 10.948 * [backup-simplify]: Simplify 1 into 1 10.948 * [backup-simplify]: Simplify (/ -1 1) into -1 10.949 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 10.949 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 10.949 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 10.949 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 10.949 * [taylor]: Taking taylor expansion of -1 in phi1 10.949 * [backup-simplify]: Simplify -1 into -1 10.949 * [taylor]: Taking taylor expansion of phi1 in phi1 10.949 * [backup-simplify]: Simplify 0 into 0 10.949 * [backup-simplify]: Simplify 1 into 1 10.949 * [backup-simplify]: Simplify (/ -1 1) into -1 10.949 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 10.949 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 10.949 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 10.949 * [taylor]: Taking taylor expansion of -1 in phi1 10.949 * [backup-simplify]: Simplify -1 into -1 10.949 * [taylor]: Taking taylor expansion of phi2 in phi1 10.949 * [backup-simplify]: Simplify phi2 into phi2 10.949 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 10.949 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 10.949 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 10.949 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 10.949 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 10.949 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 10.949 * [taylor]: Taking taylor expansion of -1 in phi1 10.949 * [backup-simplify]: Simplify -1 into -1 10.949 * [taylor]: Taking taylor expansion of phi1 in phi1 10.949 * [backup-simplify]: Simplify 0 into 0 10.949 * [backup-simplify]: Simplify 1 into 1 10.950 * [backup-simplify]: Simplify (/ -1 1) into -1 10.950 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 10.950 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 10.950 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 10.950 * [taylor]: Taking taylor expansion of -1 in phi1 10.950 * [backup-simplify]: Simplify -1 into -1 10.950 * [taylor]: Taking taylor expansion of phi2 in phi1 10.950 * [backup-simplify]: Simplify phi2 into phi2 10.950 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 10.950 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 10.950 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 10.950 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 10.950 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 10.950 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 10.950 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 10.950 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 10.950 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 10.950 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 10.950 * [taylor]: Taking taylor expansion of -1 in phi2 10.950 * [backup-simplify]: Simplify -1 into -1 10.950 * [taylor]: Taking taylor expansion of phi1 in phi2 10.950 * [backup-simplify]: Simplify phi1 into phi1 10.950 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 10.950 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 10.950 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 10.950 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 10.950 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 10.950 * [taylor]: Taking taylor expansion of -1 in phi2 10.950 * [backup-simplify]: Simplify -1 into -1 10.950 * [taylor]: Taking taylor expansion of phi2 in phi2 10.951 * [backup-simplify]: Simplify 0 into 0 10.951 * [backup-simplify]: Simplify 1 into 1 10.951 * [backup-simplify]: Simplify (/ -1 1) into -1 10.951 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 10.951 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 10.951 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 10.951 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 10.951 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 10.951 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 10.952 * [backup-simplify]: Simplify (+ 0) into 0 10.952 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 10.952 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 10.952 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.953 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 10.953 * [backup-simplify]: Simplify (+ 0 0) into 0 10.953 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 10.953 * [taylor]: Taking taylor expansion of 0 in phi2 10.953 * [backup-simplify]: Simplify 0 into 0 10.953 * [backup-simplify]: Simplify 0 into 0 10.953 * [backup-simplify]: Simplify (+ 0) into 0 10.954 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 10.954 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 10.954 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.955 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 10.955 * [backup-simplify]: Simplify (+ 0 0) into 0 10.955 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 10.955 * [backup-simplify]: Simplify 0 into 0 10.955 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.956 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 10.956 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 10.956 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.957 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 10.957 * [backup-simplify]: Simplify (+ 0 0) into 0 10.957 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 10.957 * [taylor]: Taking taylor expansion of 0 in phi2 10.957 * [backup-simplify]: Simplify 0 into 0 10.957 * [backup-simplify]: Simplify 0 into 0 10.957 * [backup-simplify]: Simplify 0 into 0 10.958 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.958 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 10.959 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 10.959 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.959 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 10.960 * [backup-simplify]: Simplify (+ 0 0) into 0 10.960 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 10.960 * [backup-simplify]: Simplify 0 into 0 10.960 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.961 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.961 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 10.962 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.963 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.966 * [backup-simplify]: Simplify (+ 0 0) into 0 10.967 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 10.967 * [taylor]: Taking taylor expansion of 0 in phi2 10.967 * [backup-simplify]: Simplify 0 into 0 10.967 * [backup-simplify]: Simplify 0 into 0 10.967 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 10.967 * * * [progress]: simplifying candidates 10.968 * * * * [progress]: [ 1 / 75 ] simplifiying candidate # 10.968 * [simplify]: Simplifying (log (* (cbrt (exp (* (sin lambda1) (sin lambda2)))) (cbrt (exp (* (sin lambda1) (sin lambda2)))))) 10.968 * * [simplify]: iters left: 6 (9 enodes) 10.972 * * [simplify]: iters left: 5 (32 enodes) 10.981 * * [simplify]: iters left: 4 (42 enodes) 10.988 * * [simplify]: iters left: 3 (55 enodes) 10.996 * * [simplify]: iters left: 2 (82 enodes) 11.011 * * [simplify]: iters left: 1 (147 enodes) 11.062 * * [simplify]: Extracting #0: cost 1 inf + 0 11.062 * * [simplify]: Extracting #1: cost 4 inf + 0 11.063 * * [simplify]: Extracting #2: cost 7 inf + 0 11.063 * * [simplify]: Extracting #3: cost 9 inf + 0 11.063 * * [simplify]: Extracting #4: cost 29 inf + 0 11.063 * * [simplify]: Extracting #5: cost 81 inf + 1 11.063 * * [simplify]: Extracting #6: cost 88 inf + 728 11.064 * * [simplify]: Extracting #7: cost 51 inf + 7790 11.067 * * [simplify]: Extracting #8: cost 10 inf + 27988 11.070 * * [simplify]: Extracting #9: cost 0 inf + 35489 11.076 * * [simplify]: Extracting #10: cost 0 inf + 35027 11.081 * * [simplify]: Extracting #11: cost 0 inf + 34987 11.088 * [simplify]: Simplified to (log (* (cbrt (exp (* (sin lambda2) (sin lambda1)))) (cbrt (exp (* (sin lambda2) (sin lambda1)))))) 11.088 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (+ (log (* (cbrt (exp (* (sin lambda2) (sin lambda1)))) (cbrt (exp (* (sin lambda2) (sin lambda1)))))) (log (cbrt (exp (* (sin lambda1) (sin lambda2)))))))))) R)) 11.089 * * * * [progress]: [ 2 / 75 ] simplifiying candidate # 11.089 * [simplify]: Simplifying (log (sqrt (exp (* (sin lambda1) (sin lambda2))))) 11.089 * * [simplify]: iters left: 6 (8 enodes) 11.092 * * [simplify]: iters left: 5 (27 enodes) 11.100 * * [simplify]: iters left: 4 (35 enodes) 11.109 * * [simplify]: iters left: 3 (49 enodes) 11.116 * * [simplify]: iters left: 2 (76 enodes) 11.129 * * [simplify]: iters left: 1 (141 enodes) 11.178 * * [simplify]: Extracting #0: cost 1 inf + 0 11.178 * * [simplify]: Extracting #1: cost 3 inf + 0 11.178 * * [simplify]: Extracting #2: cost 6 inf + 0 11.178 * * [simplify]: Extracting #3: cost 31 inf + 0 11.179 * * [simplify]: Extracting #4: cost 85 inf + 1 11.180 * * [simplify]: Extracting #5: cost 85 inf + 1064 11.181 * * [simplify]: Extracting #6: cost 53 inf + 5478 11.185 * * [simplify]: Extracting #7: cost 20 inf + 18813 11.194 * * [simplify]: Extracting #8: cost 1 inf + 30565 11.202 * * [simplify]: Extracting #9: cost 0 inf + 30837 11.210 * [simplify]: Simplified to (log (sqrt (exp (* (sin lambda2) (sin lambda1))))) 11.210 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (+ (log (sqrt (exp (* (sin lambda2) (sin lambda1))))) (log (sqrt (exp (* (sin lambda1) (sin lambda2)))))))))) R)) 11.210 * * * * [progress]: [ 3 / 75 ] simplifiying candidate # 11.210 * [simplify]: Simplifying (log 1) 11.210 * * [simplify]: iters left: 1 (2 enodes) 11.213 * * [simplify]: Extracting #0: cost 1 inf + 0 11.213 * * [simplify]: Extracting #1: cost 0 inf + 1 11.213 * [simplify]: Simplified to 0 11.213 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (+ 0 (log (exp (* (sin lambda1) (sin lambda2))))))))) R)) 11.213 * * * * [progress]: [ 4 / 75 ] simplifiying candidate # 11.214 * [simplify]: Simplifying (sin lambda2) 11.214 * * [simplify]: iters left: 1 (2 enodes) 11.215 * * [simplify]: Extracting #0: cost 1 inf + 0 11.215 * * [simplify]: Extracting #1: cost 3 inf + 0 11.215 * * [simplify]: Extracting #2: cost 2 inf + 1 11.215 * * [simplify]: Extracting #3: cost 0 inf + 123 11.215 * [simplify]: Simplified to (sin lambda2) 11.215 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (log (exp (sin lambda1)))))))) R)) 11.215 * * * * [progress]: [ 5 / 75 ] simplifiying candidate # 11.215 * * * * [progress]: [ 6 / 75 ] simplifiying candidate # 11.216 * [simplify]: Simplifying (sin lambda2) 11.216 * * [simplify]: iters left: 1 (2 enodes) 11.217 * * [simplify]: Extracting #0: cost 1 inf + 0 11.217 * * [simplify]: Extracting #1: cost 3 inf + 0 11.217 * * [simplify]: Extracting #2: cost 2 inf + 1 11.217 * * [simplify]: Extracting #3: cost 0 inf + 123 11.217 * [simplify]: Simplified to (sin lambda2) 11.217 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (log (exp (sin lambda1)))))))) R)) 11.217 * * * * [progress]: [ 7 / 75 ] simplifiying candidate # 11.217 * * * * [progress]: [ 8 / 75 ] simplifiying candidate # 11.218 * [simplify]: Simplifying (sin lambda1) 11.218 * * [simplify]: iters left: 1 (2 enodes) 11.219 * * [simplify]: Extracting #0: cost 1 inf + 0 11.219 * * [simplify]: Extracting #1: cost 3 inf + 0 11.219 * * [simplify]: Extracting #2: cost 2 inf + 1 11.219 * * [simplify]: Extracting #3: cost 0 inf + 123 11.219 * [simplify]: Simplified to (sin lambda1) 11.219 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 11.219 * * * * [progress]: [ 9 / 75 ] simplifiying candidate # 11.219 * * * * [progress]: [ 10 / 75 ] simplifiying candidate # 11.219 * * * * [progress]: [ 11 / 75 ] simplifiying candidate # 11.219 * * * * [progress]: [ 12 / 75 ] simplifiying candidate # 11.219 * * * * [progress]: [ 13 / 75 ] simplifiying candidate # 11.220 * * * * [progress]: [ 14 / 75 ] simplifiying candidate # 11.220 * * * * [progress]: [ 15 / 75 ] simplifiying candidate #real (real->posit16 (log (exp (* (sin lambda1) (sin lambda2)))))))))) R))> 11.220 * * * * [progress]: [ 16 / 75 ] simplifiying candidate # 11.220 * * * * [progress]: [ 17 / 75 ] simplifiying candidate # 11.220 * * * * [progress]: [ 18 / 75 ] simplifiying candidate # 11.220 * * * * [progress]: [ 19 / 75 ] simplifiying candidate # 11.220 * * * * [progress]: [ 20 / 75 ] simplifiying candidate # 11.220 * * * * [progress]: [ 21 / 75 ] simplifiying candidate # 11.220 * * * * [progress]: [ 22 / 75 ] simplifiying candidate # 11.220 * * * * [progress]: [ 23 / 75 ] simplifiying candidate # 11.220 * * * * [progress]: [ 24 / 75 ] simplifiying candidate #real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) R))> 11.220 * * * * [progress]: [ 25 / 75 ] simplifiying candidate # 11.221 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R) 11.221 * * [simplify]: iters left: 6 (24 enodes) 11.231 * * [simplify]: iters left: 5 (88 enodes) 11.257 * * [simplify]: iters left: 4 (160 enodes) 11.291 * * [simplify]: iters left: 3 (285 enodes) 11.377 * * [simplify]: iters left: 2 (432 enodes) 11.483 * * [simplify]: Extracting #0: cost 1 inf + 0 11.483 * * [simplify]: Extracting #1: cost 4 inf + 0 11.483 * * [simplify]: Extracting #2: cost 5 inf + 1 11.483 * * [simplify]: Extracting #3: cost 14 inf + 1 11.483 * * [simplify]: Extracting #4: cost 65 inf + 1 11.483 * * [simplify]: Extracting #5: cost 135 inf + 1 11.484 * * [simplify]: Extracting #6: cost 146 inf + 1334 11.486 * * [simplify]: Extracting #7: cost 105 inf + 11046 11.493 * * [simplify]: Extracting #8: cost 46 inf + 32062 11.501 * * [simplify]: Extracting #9: cost 9 inf + 47774 11.509 * * [simplify]: Extracting #10: cost 0 inf + 53868 11.518 * * [simplify]: Extracting #11: cost 0 inf + 53708 11.534 * [simplify]: Simplified to (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))) R) 11.534 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))) R) 1)) 11.534 * * * * [progress]: [ 26 / 75 ] simplifiying candidate # 11.534 * * * * [progress]: [ 27 / 75 ] simplifiying candidate # 11.535 * [simplify]: Simplifying (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (log R)) 11.535 * * [simplify]: iters left: 6 (26 enodes) 11.546 * * [simplify]: iters left: 5 (94 enodes) 11.561 * * [simplify]: iters left: 4 (166 enodes) 11.599 * * [simplify]: iters left: 3 (290 enodes) 11.675 * * [simplify]: iters left: 2 (437 enodes) 11.781 * * [simplify]: Extracting #0: cost 1 inf + 0 11.781 * * [simplify]: Extracting #1: cost 4 inf + 0 11.781 * * [simplify]: Extracting #2: cost 8 inf + 0 11.781 * * [simplify]: Extracting #3: cost 8 inf + 72 11.781 * * [simplify]: Extracting #4: cost 16 inf + 143 11.782 * * [simplify]: Extracting #5: cost 67 inf + 143 11.783 * * [simplify]: Extracting #6: cost 137 inf + 143 11.784 * * [simplify]: Extracting #7: cost 148 inf + 1781 11.788 * * [simplify]: Extracting #8: cost 96 inf + 14358 11.797 * * [simplify]: Extracting #9: cost 44 inf + 36529 11.805 * * [simplify]: Extracting #10: cost 1 inf + 56398 11.814 * * [simplify]: Extracting #11: cost 0 inf + 56581 11.824 * [simplify]: Simplified to (+ (log R) (log (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))))) 11.824 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log R) (log (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))))))) 11.824 * * * * [progress]: [ 28 / 75 ] simplifiying candidate # 11.824 * * * * [progress]: [ 29 / 75 ] simplifiying candidate # 11.824 * * * * [progress]: [ 30 / 75 ] simplifiying candidate # 11.825 * [simplify]: Simplifying (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (* (* R R) R)) 11.825 * * [simplify]: iters left: 6 (28 enodes) 11.838 * * [simplify]: iters left: 5 (106 enodes) 11.867 * * [simplify]: iters left: 4 (207 enodes) 11.917 * * [simplify]: iters left: 3 (388 enodes) 12.008 * * [simplify]: Extracting #0: cost 1 inf + 0 12.008 * * [simplify]: Extracting #1: cost 31 inf + 0 12.008 * * [simplify]: Extracting #2: cost 58 inf + 1 12.008 * * [simplify]: Extracting #3: cost 62 inf + 256 12.009 * * [simplify]: Extracting #4: cost 115 inf + 672 12.012 * * [simplify]: Extracting #5: cost 159 inf + 884 12.014 * * [simplify]: Extracting #6: cost 160 inf + 1761 12.016 * * [simplify]: Extracting #7: cost 136 inf + 7284 12.021 * * [simplify]: Extracting #8: cost 68 inf + 31797 12.028 * * [simplify]: Extracting #9: cost 42 inf + 46999 12.041 * * [simplify]: Extracting #10: cost 6 inf + 84210 12.063 * * [simplify]: Extracting #11: cost 0 inf + 89228 12.094 * * [simplify]: Extracting #12: cost 0 inf + 89149 12.124 * [simplify]: Simplified to (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))) R) (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))) R) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))) R))) 12.124 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))) R) (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))) R) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))) R))))) 12.124 * * * * [progress]: [ 31 / 75 ] simplifiying candidate # 12.124 * * * * [progress]: [ 32 / 75 ] simplifiying candidate # 12.124 * * * * [progress]: [ 33 / 75 ] simplifiying candidate # 12.124 * * * * [progress]: [ 34 / 75 ] simplifiying candidate # 12.124 * * * * [progress]: [ 35 / 75 ] simplifiying candidate # 12.125 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) 12.125 * * [simplify]: iters left: 6 (26 enodes) 12.133 * * [simplify]: iters left: 5 (94 enodes) 12.149 * * [simplify]: iters left: 4 (166 enodes) 12.178 * * [simplify]: iters left: 3 (290 enodes) 12.245 * * [simplify]: iters left: 2 (437 enodes) 12.335 * * [simplify]: Extracting #0: cost 1 inf + 0 12.335 * * [simplify]: Extracting #1: cost 4 inf + 0 12.335 * * [simplify]: Extracting #2: cost 8 inf + 0 12.336 * * [simplify]: Extracting #3: cost 8 inf + 42 12.336 * * [simplify]: Extracting #4: cost 16 inf + 83 12.336 * * [simplify]: Extracting #5: cost 67 inf + 83 12.337 * * [simplify]: Extracting #6: cost 137 inf + 83 12.338 * * [simplify]: Extracting #7: cost 148 inf + 1721 12.342 * * [simplify]: Extracting #8: cost 96 inf + 14298 12.348 * * [simplify]: Extracting #9: cost 44 inf + 36379 12.356 * * [simplify]: Extracting #10: cost 1 inf + 56158 12.367 * * [simplify]: Extracting #11: cost 0 inf + 56341 12.377 * [simplify]: Simplified to (* (sqrt R) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))))) 12.378 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt R) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt R)))) 12.378 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) 12.378 * * [simplify]: iters left: 6 (26 enodes) 12.389 * * [simplify]: iters left: 5 (94 enodes) 12.410 * * [simplify]: iters left: 4 (166 enodes) 12.446 * * [simplify]: iters left: 3 (290 enodes) 12.515 * * [simplify]: iters left: 2 (437 enodes) 12.612 * * [simplify]: Extracting #0: cost 1 inf + 0 12.612 * * [simplify]: Extracting #1: cost 4 inf + 0 12.612 * * [simplify]: Extracting #2: cost 8 inf + 0 12.612 * * [simplify]: Extracting #3: cost 8 inf + 42 12.612 * * [simplify]: Extracting #4: cost 16 inf + 83 12.612 * * [simplify]: Extracting #5: cost 67 inf + 83 12.613 * * [simplify]: Extracting #6: cost 137 inf + 83 12.617 * * [simplify]: Extracting #7: cost 148 inf + 1721 12.621 * * [simplify]: Extracting #8: cost 96 inf + 14298 12.632 * * [simplify]: Extracting #9: cost 44 inf + 36379 12.648 * * [simplify]: Extracting #10: cost 1 inf + 56158 12.665 * * [simplify]: Extracting #11: cost 0 inf + 56341 12.682 * [simplify]: Simplified to (* (sqrt R) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))))) 12.682 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (sqrt R) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))))))) 12.682 * * * * [progress]: [ 36 / 75 ] simplifiying candidate # 12.683 * [simplify]: Simplifying (cbrt R) 12.683 * * [simplify]: iters left: 1 (2 enodes) 12.684 * * [simplify]: Extracting #0: cost 1 inf + 0 12.684 * * [simplify]: Extracting #1: cost 3 inf + 0 12.684 * * [simplify]: Extracting #2: cost 2 inf + 1 12.684 * * [simplify]: Extracting #3: cost 0 inf + 163 12.684 * [simplify]: Simplified to (cbrt R) 12.684 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (* (cbrt R) (cbrt R))) (cbrt R))) 12.684 * * * * [progress]: [ 37 / 75 ] simplifiying candidate # 12.684 * [simplify]: Simplifying (sqrt R) 12.684 * * [simplify]: iters left: 1 (2 enodes) 12.685 * * [simplify]: Extracting #0: cost 1 inf + 0 12.685 * * [simplify]: Extracting #1: cost 3 inf + 0 12.685 * * [simplify]: Extracting #2: cost 2 inf + 1 12.685 * * [simplify]: Extracting #3: cost 0 inf + 83 12.685 * [simplify]: Simplified to (sqrt R) 12.686 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (sqrt R))) 12.686 * * * * [progress]: [ 38 / 75 ] simplifiying candidate # 12.686 * * * * [progress]: [ 39 / 75 ] simplifiying candidate # 12.686 * [simplify]: Simplifying (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) 12.686 * * [simplify]: iters left: 6 (24 enodes) 12.696 * * [simplify]: iters left: 5 (87 enodes) 12.724 * * [simplify]: iters left: 4 (159 enodes) 12.782 * * [simplify]: iters left: 3 (284 enodes) 12.852 * * [simplify]: iters left: 2 (431 enodes) 12.992 * * [simplify]: Extracting #0: cost 1 inf + 0 12.992 * * [simplify]: Extracting #1: cost 3 inf + 0 12.992 * * [simplify]: Extracting #2: cost 5 inf + 0 12.992 * * [simplify]: Extracting #3: cost 7 inf + 0 12.992 * * [simplify]: Extracting #4: cost 16 inf + 0 12.993 * * [simplify]: Extracting #5: cost 67 inf + 0 12.993 * * [simplify]: Extracting #6: cost 137 inf + 0 12.993 * * [simplify]: Extracting #7: cost 147 inf + 1334 12.996 * * [simplify]: Extracting #8: cost 91 inf + 14640 13.005 * * [simplify]: Extracting #9: cost 33 inf + 38011 13.021 * * [simplify]: Extracting #10: cost 6 inf + 51638 13.038 * * [simplify]: Extracting #11: cost 1 inf + 55239 13.048 * * [simplify]: Extracting #12: cost 0 inf + 56213 13.057 * [simplify]: Simplified to (* (cbrt (acos (+ (* (* (cos phi1) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (cos phi2)) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (* (cos phi1) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (cos phi2)) (* (sin phi2) (sin phi1)))))) 13.057 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (* (cos phi1) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (cos phi2)) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (* (cos phi1) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (cos phi2)) (* (sin phi2) (sin phi1)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) R))) 13.057 * * * * [progress]: [ 40 / 75 ] simplifiying candidate # 13.057 * [simplify]: Simplifying (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) 13.058 * * [simplify]: iters left: 6 (23 enodes) 13.062 * * [simplify]: iters left: 5 (84 enodes) 13.086 * * [simplify]: iters left: 4 (156 enodes) 13.114 * * [simplify]: iters left: 3 (282 enodes) 13.200 * * [simplify]: iters left: 2 (433 enodes) 13.319 * * [simplify]: Extracting #0: cost 1 inf + 0 13.319 * * [simplify]: Extracting #1: cost 3 inf + 0 13.319 * * [simplify]: Extracting #2: cost 5 inf + 0 13.319 * * [simplify]: Extracting #3: cost 12 inf + 0 13.320 * * [simplify]: Extracting #4: cost 57 inf + 0 13.320 * * [simplify]: Extracting #5: cost 125 inf + 0 13.321 * * [simplify]: Extracting #6: cost 143 inf + 1354 13.326 * * [simplify]: Extracting #7: cost 90 inf + 18219 13.339 * * [simplify]: Extracting #8: cost 22 inf + 43446 13.353 * * [simplify]: Extracting #9: cost 2 inf + 53170 13.361 * * [simplify]: Extracting #10: cost 0 inf + 53613 13.371 * * [simplify]: Extracting #11: cost 0 inf + 53573 13.381 * [simplify]: Simplified to (sqrt (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi2)) (cos phi1)) (* (sin phi2) (sin phi1))))) 13.381 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi2)) (cos phi1)) (* (sin phi2) (sin phi1))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) R))) 13.382 * * * * [progress]: [ 41 / 75 ] simplifiying candidate # 13.382 * * * * [progress]: [ 42 / 75 ] simplifiying candidate #real (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))))> 13.382 * * * * [progress]: [ 43 / 75 ] simplifiying candidate # 13.382 * * * * [progress]: [ 44 / 75 ] simplifiying candidate # 13.382 * [simplify]: Simplifying (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 13.382 * * [simplify]: iters left: 5 (7 enodes) 13.385 * * [simplify]: iters left: 4 (26 enodes) 13.392 * * [simplify]: iters left: 3 (32 enodes) 13.401 * * [simplify]: Extracting #0: cost 1 inf + 0 13.401 * * [simplify]: Extracting #1: cost 5 inf + 0 13.401 * * [simplify]: Extracting #2: cost 10 inf + 0 13.401 * * [simplify]: Extracting #3: cost 15 inf + 0 13.401 * * [simplify]: Extracting #4: cost 13 inf + 43 13.401 * * [simplify]: Extracting #5: cost 4 inf + 800 13.402 * * [simplify]: Extracting #6: cost 1 inf + 1186 13.402 * * [simplify]: Extracting #7: cost 0 inf + 1428 13.403 * [simplify]: Simplified to (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) 13.403 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) 2) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 13.403 * * * * [progress]: [ 45 / 75 ] simplifiying candidate # 13.404 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 13.404 * * [simplify]: iters left: 3 (5 enodes) 13.406 * * [simplify]: iters left: 2 (16 enodes) 13.410 * * [simplify]: Extracting #0: cost 1 inf + 0 13.410 * * [simplify]: Extracting #1: cost 4 inf + 0 13.410 * * [simplify]: Extracting #2: cost 8 inf + 0 13.410 * * [simplify]: Extracting #3: cost 4 inf + 124 13.410 * * [simplify]: Extracting #4: cost 0 inf + 570 13.411 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 13.411 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi2) (sin phi1)) 1) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 13.411 * * * * [progress]: [ 46 / 75 ] simplifiying candidate # 13.411 * * * * [progress]: [ 47 / 75 ] simplifiying candidate # 13.411 * [simplify]: Simplifying (+ (log (sin phi1)) (log (sin phi2))) 13.411 * * [simplify]: iters left: 4 (7 enodes) 13.414 * * [simplify]: iters left: 3 (22 enodes) 13.420 * * [simplify]: Extracting #0: cost 1 inf + 0 13.420 * * [simplify]: Extracting #1: cost 4 inf + 0 13.420 * * [simplify]: Extracting #2: cost 8 inf + 0 13.420 * * [simplify]: Extracting #3: cost 12 inf + 0 13.420 * * [simplify]: Extracting #4: cost 10 inf + 2 13.420 * * [simplify]: Extracting #5: cost 4 inf + 508 13.421 * * [simplify]: Extracting #6: cost 1 inf + 1072 13.421 * * [simplify]: Extracting #7: cost 0 inf + 1374 13.421 * [simplify]: Simplified to (+ (log (sin phi2)) (log (sin phi1))) 13.421 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (+ (log (sin phi2)) (log (sin phi1)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 13.422 * * * * [progress]: [ 48 / 75 ] simplifiying candidate # 13.422 * * * * [progress]: [ 49 / 75 ] simplifiying candidate # 13.422 * * * * [progress]: [ 50 / 75 ] simplifiying candidate # 13.422 * [simplify]: Simplifying (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) 13.422 * * [simplify]: iters left: 6 (9 enodes) 13.426 * * [simplify]: iters left: 5 (34 enodes) 13.438 * * [simplify]: iters left: 4 (63 enodes) 13.462 * * [simplify]: iters left: 3 (122 enodes) 13.495 * * [simplify]: iters left: 2 (196 enodes) 13.548 * * [simplify]: iters left: 1 (356 enodes) 13.725 * * [simplify]: Extracting #0: cost 1 inf + 0 13.726 * * [simplify]: Extracting #1: cost 70 inf + 0 13.726 * * [simplify]: Extracting #2: cost 169 inf + 1 13.727 * * [simplify]: Extracting #3: cost 154 inf + 2658 13.731 * * [simplify]: Extracting #4: cost 86 inf + 31524 13.738 * * [simplify]: Extracting #5: cost 7 inf + 77226 13.750 * * [simplify]: Extracting #6: cost 0 inf + 81813 13.764 * [simplify]: Simplified to (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1))) 13.764 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 13.765 * * * * [progress]: [ 51 / 75 ] simplifiying candidate # 13.765 * * * * [progress]: [ 52 / 75 ] simplifiying candidate # 13.765 * * * * [progress]: [ 53 / 75 ] simplifiying candidate # 13.765 * * * * [progress]: [ 54 / 75 ] simplifiying candidate # 13.765 * * * * [progress]: [ 55 / 75 ] simplifiying candidate # 13.765 * [simplify]: Simplifying (* (sqrt (sin phi1)) (sqrt (sin phi2))) 13.765 * * [simplify]: iters left: 4 (7 enodes) 13.766 * * [simplify]: iters left: 3 (22 enodes) 13.769 * * [simplify]: Extracting #0: cost 1 inf + 0 13.769 * * [simplify]: Extracting #1: cost 4 inf + 0 13.769 * * [simplify]: Extracting #2: cost 8 inf + 0 13.769 * * [simplify]: Extracting #3: cost 12 inf + 0 13.769 * * [simplify]: Extracting #4: cost 10 inf + 2 13.769 * * [simplify]: Extracting #5: cost 4 inf + 448 13.770 * * [simplify]: Extracting #6: cost 1 inf + 892 13.770 * * [simplify]: Extracting #7: cost 0 inf + 1134 13.770 * [simplify]: Simplified to (* (sqrt (sin phi1)) (sqrt (sin phi2))) 13.770 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 13.770 * [simplify]: Simplifying (* (sqrt (sin phi1)) (sqrt (sin phi2))) 13.770 * * [simplify]: iters left: 4 (7 enodes) 13.772 * * [simplify]: iters left: 3 (22 enodes) 13.775 * * [simplify]: Extracting #0: cost 1 inf + 0 13.775 * * [simplify]: Extracting #1: cost 4 inf + 0 13.775 * * [simplify]: Extracting #2: cost 8 inf + 0 13.775 * * [simplify]: Extracting #3: cost 12 inf + 0 13.775 * * [simplify]: Extracting #4: cost 10 inf + 2 13.775 * * [simplify]: Extracting #5: cost 4 inf + 448 13.775 * * [simplify]: Extracting #6: cost 1 inf + 892 13.775 * * [simplify]: Extracting #7: cost 0 inf + 1134 13.775 * [simplify]: Simplified to (* (sqrt (sin phi1)) (sqrt (sin phi2))) 13.775 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 13.775 * * * * [progress]: [ 56 / 75 ] simplifiying candidate # 13.776 * [simplify]: Simplifying (cbrt (sin phi2)) 13.776 * * [simplify]: iters left: 2 (3 enodes) 13.776 * * [simplify]: iters left: 1 (9 enodes) 13.777 * * [simplify]: Extracting #0: cost 1 inf + 0 13.777 * * [simplify]: Extracting #1: cost 3 inf + 0 13.777 * * [simplify]: Extracting #2: cost 5 inf + 0 13.778 * * [simplify]: Extracting #3: cost 4 inf + 1 13.778 * * [simplify]: Extracting #4: cost 0 inf + 405 13.778 * [simplify]: Simplified to (cbrt (sin phi2)) 13.778 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 13.778 * * * * [progress]: [ 57 / 75 ] simplifiying candidate # 13.778 * [simplify]: Simplifying (sqrt (sin phi2)) 13.778 * * [simplify]: iters left: 2 (3 enodes) 13.779 * * [simplify]: iters left: 1 (9 enodes) 13.780 * * [simplify]: Extracting #0: cost 1 inf + 0 13.780 * * [simplify]: Extracting #1: cost 3 inf + 0 13.780 * * [simplify]: Extracting #2: cost 5 inf + 0 13.780 * * [simplify]: Extracting #3: cost 4 inf + 1 13.780 * * [simplify]: Extracting #4: cost 0 inf + 325 13.780 * [simplify]: Simplified to (sqrt (sin phi2)) 13.780 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (sqrt (sin phi2))) (sqrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 13.780 * * * * [progress]: [ 58 / 75 ] simplifiying candidate # 13.780 * [simplify]: Simplifying (sin phi2) 13.780 * * [simplify]: iters left: 1 (2 enodes) 13.781 * * [simplify]: Extracting #0: cost 1 inf + 0 13.781 * * [simplify]: Extracting #1: cost 3 inf + 0 13.781 * * [simplify]: Extracting #2: cost 2 inf + 1 13.781 * * [simplify]: Extracting #3: cost 0 inf + 123 13.781 * [simplify]: Simplified to (sin phi2) 13.781 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) 1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 13.781 * * * * [progress]: [ 59 / 75 ] simplifiying candidate # 13.781 * [simplify]: Simplifying (* (cbrt (sin phi1)) (cbrt (sin phi1))) 13.781 * * [simplify]: iters left: 4 (4 enodes) 13.782 * * [simplify]: iters left: 3 (12 enodes) 13.784 * * [simplify]: Extracting #0: cost 1 inf + 0 13.784 * * [simplify]: Extracting #1: cost 3 inf + 0 13.784 * * [simplify]: Extracting #2: cost 5 inf + 0 13.784 * * [simplify]: Extracting #3: cost 7 inf + 0 13.784 * * [simplify]: Extracting #4: cost 6 inf + 1 13.784 * * [simplify]: Extracting #5: cost 0 inf + 767 13.784 * [simplify]: Simplified to (* (cbrt (sin phi1)) (cbrt (sin phi1))) 13.784 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 13.784 * * * * [progress]: [ 60 / 75 ] simplifiying candidate # 13.784 * [simplify]: Simplifying (sqrt (sin phi1)) 13.784 * * [simplify]: iters left: 2 (3 enodes) 13.785 * * [simplify]: iters left: 1 (9 enodes) 13.786 * * [simplify]: Extracting #0: cost 1 inf + 0 13.786 * * [simplify]: Extracting #1: cost 3 inf + 0 13.786 * * [simplify]: Extracting #2: cost 5 inf + 0 13.786 * * [simplify]: Extracting #3: cost 4 inf + 1 13.786 * * [simplify]: Extracting #4: cost 0 inf + 325 13.786 * [simplify]: Simplified to (sqrt (sin phi1)) 13.786 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 13.786 * * * * [progress]: [ 61 / 75 ] simplifiying candidate # 13.786 * * * * [progress]: [ 62 / 75 ] simplifiying candidate #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))> 13.787 * * * * [progress]: [ 63 / 75 ] simplifiying candidate # 13.787 * * * * [progress]: [ 64 / 75 ] simplifiying candidate # 13.787 * [simplify]: Simplifying (* lambda2 lambda1) 13.787 * * [simplify]: iters left: 2 (3 enodes) 13.787 * * [simplify]: iters left: 1 (10 enodes) 13.789 * * [simplify]: Extracting #0: cost 1 inf + 0 13.789 * * [simplify]: Extracting #1: cost 4 inf + 0 13.789 * * [simplify]: Extracting #2: cost 2 inf + 2 13.789 * * [simplify]: Extracting #3: cost 0 inf + 86 13.789 * [simplify]: Simplified to (* lambda2 lambda1) 13.789 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* lambda2 lambda1))))) R)) 13.789 * * * * [progress]: [ 65 / 75 ] simplifiying candidate # 13.789 * [simplify]: Simplifying (* (sin lambda2) (sin lambda1)) 13.789 * * [simplify]: iters left: 3 (5 enodes) 13.790 * * [simplify]: iters left: 2 (16 enodes) 13.795 * * [simplify]: Extracting #0: cost 1 inf + 0 13.795 * * [simplify]: Extracting #1: cost 4 inf + 0 13.795 * * [simplify]: Extracting #2: cost 8 inf + 0 13.795 * * [simplify]: Extracting #3: cost 4 inf + 124 13.795 * * [simplify]: Extracting #4: cost 0 inf + 570 13.795 * [simplify]: Simplified to (* (sin lambda1) (sin lambda2)) 13.795 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 13.795 * * * * [progress]: [ 66 / 75 ] simplifiying candidate # 13.796 * [simplify]: Simplifying (* (sin lambda1) (sin lambda2)) 13.796 * * [simplify]: iters left: 3 (5 enodes) 13.798 * * [simplify]: iters left: 2 (16 enodes) 13.802 * * [simplify]: Extracting #0: cost 1 inf + 0 13.802 * * [simplify]: Extracting #1: cost 4 inf + 0 13.802 * * [simplify]: Extracting #2: cost 8 inf + 0 13.802 * * [simplify]: Extracting #3: cost 4 inf + 124 13.803 * * [simplify]: Extracting #4: cost 0 inf + 570 13.803 * [simplify]: Simplified to (* (sin lambda2) (sin lambda1)) 13.803 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R)) 13.803 * * * * [progress]: [ 67 / 75 ] simplifiying candidate # 13.803 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 13.804 * * [simplify]: iters left: 6 (22 enodes) 13.813 * * [simplify]: iters left: 5 (84 enodes) 13.838 * * [simplify]: iters left: 4 (141 enodes) 13.865 * * [simplify]: iters left: 3 (241 enodes) 13.943 * * [simplify]: iters left: 2 (280 enodes) 14.004 * * [simplify]: Extracting #0: cost 1 inf + 0 14.004 * * [simplify]: Extracting #1: cost 3 inf + 0 14.004 * * [simplify]: Extracting #2: cost 10 inf + 0 14.004 * * [simplify]: Extracting #3: cost 46 inf + 0 14.005 * * [simplify]: Extracting #4: cost 80 inf + 0 14.005 * * [simplify]: Extracting #5: cost 63 inf + 1504 14.007 * * [simplify]: Extracting #6: cost 22 inf + 9796 14.009 * * [simplify]: Extracting #7: cost 5 inf + 17031 14.013 * * [simplify]: Extracting #8: cost 0 inf + 19888 14.016 * * [simplify]: Extracting #9: cost 0 inf + 19728 14.021 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) 14.021 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R)) 14.021 * * * * [progress]: [ 68 / 75 ] simplifiying candidate # 14.021 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 14.022 * * [simplify]: iters left: 6 (22 enodes) 14.032 * * [simplify]: iters left: 5 (84 enodes) 14.056 * * [simplify]: iters left: 4 (141 enodes) 14.082 * * [simplify]: iters left: 3 (241 enodes) 14.133 * * [simplify]: iters left: 2 (280 enodes) 14.181 * * [simplify]: Extracting #0: cost 1 inf + 0 14.181 * * [simplify]: Extracting #1: cost 3 inf + 0 14.181 * * [simplify]: Extracting #2: cost 10 inf + 0 14.181 * * [simplify]: Extracting #3: cost 46 inf + 0 14.181 * * [simplify]: Extracting #4: cost 80 inf + 0 14.182 * * [simplify]: Extracting #5: cost 58 inf + 2112 14.184 * * [simplify]: Extracting #6: cost 20 inf + 10221 14.187 * * [simplify]: Extracting #7: cost 2 inf + 18300 14.190 * * [simplify]: Extracting #8: cost 0 inf + 19888 14.193 * * [simplify]: Extracting #9: cost 0 inf + 19728 14.197 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) 14.197 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) R)) 14.197 * * * * [progress]: [ 69 / 75 ] simplifiying candidate # 14.197 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 14.197 * * [simplify]: iters left: 6 (22 enodes) 14.202 * * [simplify]: iters left: 5 (84 enodes) 14.220 * * [simplify]: iters left: 4 (141 enodes) 14.251 * * [simplify]: iters left: 3 (241 enodes) 14.301 * * [simplify]: iters left: 2 (280 enodes) 14.362 * * [simplify]: Extracting #0: cost 1 inf + 0 14.362 * * [simplify]: Extracting #1: cost 3 inf + 0 14.362 * * [simplify]: Extracting #2: cost 10 inf + 0 14.362 * * [simplify]: Extracting #3: cost 46 inf + 0 14.362 * * [simplify]: Extracting #4: cost 80 inf + 0 14.363 * * [simplify]: Extracting #5: cost 63 inf + 1504 14.364 * * [simplify]: Extracting #6: cost 22 inf + 9796 14.367 * * [simplify]: Extracting #7: cost 5 inf + 17031 14.371 * * [simplify]: Extracting #8: cost 0 inf + 19888 14.374 * * [simplify]: Extracting #9: cost 0 inf + 19728 14.377 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) 14.377 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R)) 14.378 * * * * [progress]: [ 70 / 75 ] simplifiying candidate # 14.378 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 14.378 * * [simplify]: iters left: 6 (24 enodes) 14.383 * * [simplify]: iters left: 5 (91 enodes) 14.403 * * [simplify]: iters left: 4 (148 enodes) 14.443 * * [simplify]: iters left: 3 (248 enodes) 14.492 * * [simplify]: iters left: 2 (295 enodes) 14.538 * * [simplify]: Extracting #0: cost 1 inf + 0 14.538 * * [simplify]: Extracting #1: cost 4 inf + 0 14.538 * * [simplify]: Extracting #2: cost 5 inf + 1 14.538 * * [simplify]: Extracting #3: cost 12 inf + 1 14.538 * * [simplify]: Extracting #4: cost 48 inf + 1 14.538 * * [simplify]: Extracting #5: cost 82 inf + 1 14.539 * * [simplify]: Extracting #6: cost 71 inf + 634 14.540 * * [simplify]: Extracting #7: cost 31 inf + 8806 14.543 * * [simplify]: Extracting #8: cost 5 inf + 18631 14.546 * * [simplify]: Extracting #9: cost 1 inf + 20704 14.549 * * [simplify]: Extracting #10: cost 0 inf + 21559 14.556 * * [simplify]: Extracting #11: cost 0 inf + 21519 14.563 * [simplify]: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 14.563 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 14.563 * * * * [progress]: [ 71 / 75 ] simplifiying candidate # 14.564 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 14.564 * * [simplify]: iters left: 6 (24 enodes) 14.576 * * [simplify]: iters left: 5 (91 enodes) 14.603 * * [simplify]: iters left: 4 (148 enodes) 14.640 * * [simplify]: iters left: 3 (248 enodes) 14.694 * * [simplify]: iters left: 2 (292 enodes) 14.747 * * [simplify]: Extracting #0: cost 1 inf + 0 14.747 * * [simplify]: Extracting #1: cost 4 inf + 0 14.748 * * [simplify]: Extracting #2: cost 5 inf + 1 14.748 * * [simplify]: Extracting #3: cost 12 inf + 1 14.748 * * [simplify]: Extracting #4: cost 48 inf + 1 14.748 * * [simplify]: Extracting #5: cost 82 inf + 1 14.749 * * [simplify]: Extracting #6: cost 61 inf + 2052 14.752 * * [simplify]: Extracting #7: cost 23 inf + 9919 14.759 * * [simplify]: Extracting #8: cost 4 inf + 18021 14.767 * * [simplify]: Extracting #9: cost 1 inf + 20624 14.774 * * [simplify]: Extracting #10: cost 0 inf + 21519 14.781 * [simplify]: Simplified to (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R) 14.781 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R)) 14.781 * * * * [progress]: [ 72 / 75 ] simplifiying candidate # 14.781 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 14.782 * * [simplify]: iters left: 6 (24 enodes) 14.792 * * [simplify]: iters left: 5 (91 enodes) 14.819 * * [simplify]: iters left: 4 (148 enodes) 14.847 * * [simplify]: iters left: 3 (248 enodes) 14.896 * * [simplify]: iters left: 2 (295 enodes) 14.958 * * [simplify]: Extracting #0: cost 1 inf + 0 14.958 * * [simplify]: Extracting #1: cost 4 inf + 0 14.958 * * [simplify]: Extracting #2: cost 5 inf + 1 14.958 * * [simplify]: Extracting #3: cost 12 inf + 1 14.958 * * [simplify]: Extracting #4: cost 48 inf + 1 14.958 * * [simplify]: Extracting #5: cost 82 inf + 1 14.959 * * [simplify]: Extracting #6: cost 71 inf + 634 14.960 * * [simplify]: Extracting #7: cost 31 inf + 8806 14.963 * * [simplify]: Extracting #8: cost 5 inf + 18631 14.966 * * [simplify]: Extracting #9: cost 1 inf + 20704 14.969 * * [simplify]: Extracting #10: cost 0 inf + 21559 14.973 * * [simplify]: Extracting #11: cost 0 inf + 21519 14.979 * [simplify]: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 14.979 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 14.979 * * * * [progress]: [ 73 / 75 ] simplifiying candidate # 14.980 * [simplify]: Simplifying (* phi1 phi2) 14.980 * * [simplify]: iters left: 2 (3 enodes) 14.981 * * [simplify]: iters left: 1 (10 enodes) 14.984 * * [simplify]: Extracting #0: cost 1 inf + 0 14.984 * * [simplify]: Extracting #1: cost 4 inf + 0 14.984 * * [simplify]: Extracting #2: cost 2 inf + 2 14.984 * * [simplify]: Extracting #3: cost 0 inf + 86 14.984 * [simplify]: Simplified to (* phi1 phi2) 14.984 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* phi1 phi2) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 14.984 * * * * [progress]: [ 74 / 75 ] simplifiying candidate # 14.985 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 14.985 * * [simplify]: iters left: 3 (5 enodes) 14.987 * * [simplify]: iters left: 2 (16 enodes) 14.991 * * [simplify]: Extracting #0: cost 1 inf + 0 14.991 * * [simplify]: Extracting #1: cost 4 inf + 0 14.991 * * [simplify]: Extracting #2: cost 8 inf + 0 14.991 * * [simplify]: Extracting #3: cost 4 inf + 124 14.991 * * [simplify]: Extracting #4: cost 0 inf + 570 14.991 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 14.991 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 14.991 * * * * [progress]: [ 75 / 75 ] simplifiying candidate # 14.991 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 14.991 * * [simplify]: iters left: 3 (5 enodes) 14.992 * * [simplify]: iters left: 2 (16 enodes) 14.994 * * [simplify]: Extracting #0: cost 1 inf + 0 14.994 * * [simplify]: Extracting #1: cost 4 inf + 0 14.994 * * [simplify]: Extracting #2: cost 8 inf + 0 14.994 * * [simplify]: Extracting #3: cost 4 inf + 124 14.994 * * [simplify]: Extracting #4: cost 0 inf + 570 14.995 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 14.995 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 14.995 * * * [progress]: adding candidates to table 16.816 * * [progress]: iteration 4 / 4 16.816 * * * [progress]: picking best candidate 17.013 * * * * [pick]: Picked # 17.013 * * * [progress]: localizing error 17.119 * * * [progress]: generating rewritten candidates 17.119 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1 2 2 2) 17.124 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 17.126 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 17.136 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 17.143 * * * [progress]: generating series expansions 17.143 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1 2 2 2) 17.143 * [backup-simplify]: Simplify (log (exp (* (sin lambda1) (sin lambda2)))) into (* (sin lambda1) (sin lambda2)) 17.143 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 17.143 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 17.143 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 17.143 * [taylor]: Taking taylor expansion of lambda1 in lambda2 17.143 * [backup-simplify]: Simplify lambda1 into lambda1 17.143 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 17.143 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 17.143 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 17.143 * [taylor]: Taking taylor expansion of lambda2 in lambda2 17.143 * [backup-simplify]: Simplify 0 into 0 17.143 * [backup-simplify]: Simplify 1 into 1 17.143 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 17.143 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 17.143 * [taylor]: Taking taylor expansion of lambda1 in lambda1 17.143 * [backup-simplify]: Simplify 0 into 0 17.143 * [backup-simplify]: Simplify 1 into 1 17.143 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 17.143 * [taylor]: Taking taylor expansion of lambda2 in lambda1 17.143 * [backup-simplify]: Simplify lambda2 into lambda2 17.143 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 17.143 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 17.144 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 17.144 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 17.144 * [taylor]: Taking taylor expansion of lambda1 in lambda1 17.144 * [backup-simplify]: Simplify 0 into 0 17.144 * [backup-simplify]: Simplify 1 into 1 17.144 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 17.144 * [taylor]: Taking taylor expansion of lambda2 in lambda1 17.144 * [backup-simplify]: Simplify lambda2 into lambda2 17.144 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 17.144 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 17.144 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 17.144 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 17.144 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 17.144 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0 17.144 * [taylor]: Taking taylor expansion of 0 in lambda2 17.144 * [backup-simplify]: Simplify 0 into 0 17.144 * [backup-simplify]: Simplify 0 into 0 17.145 * [backup-simplify]: Simplify (+ 0) into 0 17.145 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 17.146 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 17.147 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 17.147 * [backup-simplify]: Simplify (+ 0 0) into 0 17.148 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 17.148 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2) 17.148 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 17.148 * [taylor]: Taking taylor expansion of lambda2 in lambda2 17.148 * [backup-simplify]: Simplify 0 into 0 17.148 * [backup-simplify]: Simplify 1 into 1 17.148 * [backup-simplify]: Simplify 0 into 0 17.148 * [backup-simplify]: Simplify 0 into 0 17.149 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 17.150 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 17.151 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 17.151 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 17.152 * [backup-simplify]: Simplify (+ 0 0) into 0 17.152 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 17.154 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0 17.154 * [taylor]: Taking taylor expansion of 0 in lambda2 17.154 * [backup-simplify]: Simplify 0 into 0 17.154 * [backup-simplify]: Simplify 0 into 0 17.154 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 17.155 * [backup-simplify]: Simplify 1 into 1 17.155 * [backup-simplify]: Simplify 0 into 0 17.156 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 17.156 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.158 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 17.158 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 17.159 * [backup-simplify]: Simplify (+ 0 0) into 0 17.161 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 17.162 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda2))))) into (- (* 1/6 (sin lambda2))) 17.162 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 17.162 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 17.162 * [taylor]: Taking taylor expansion of 1/6 in lambda2 17.162 * [backup-simplify]: Simplify 1/6 into 1/6 17.162 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 17.162 * [taylor]: Taking taylor expansion of lambda2 in lambda2 17.162 * [backup-simplify]: Simplify 0 into 0 17.162 * [backup-simplify]: Simplify 1 into 1 17.162 * [backup-simplify]: Simplify (* 1/6 0) into 0 17.163 * [backup-simplify]: Simplify (- 0) into 0 17.163 * [backup-simplify]: Simplify 0 into 0 17.163 * [backup-simplify]: Simplify 0 into 0 17.164 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 17.164 * [backup-simplify]: Simplify 0 into 0 17.164 * [backup-simplify]: Simplify 0 into 0 17.167 * [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 17.168 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 17.169 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 17.170 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 17.170 * [backup-simplify]: Simplify (+ 0 0) into 0 17.172 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 17.173 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda2)))))) into 0 17.173 * [taylor]: Taking taylor expansion of 0 in lambda2 17.174 * [backup-simplify]: Simplify 0 into 0 17.174 * [backup-simplify]: Simplify 0 into 0 17.174 * [backup-simplify]: Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1) 17.174 * [backup-simplify]: Simplify (log (exp (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 17.174 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in (lambda1 lambda2) around 0 17.174 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 17.174 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 17.174 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 17.174 * [taylor]: Taking taylor expansion of lambda2 in lambda2 17.174 * [backup-simplify]: Simplify 0 into 0 17.174 * [backup-simplify]: Simplify 1 into 1 17.174 * [backup-simplify]: Simplify (/ 1 1) into 1 17.175 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 17.175 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 17.175 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 17.175 * [taylor]: Taking taylor expansion of lambda1 in lambda2 17.175 * [backup-simplify]: Simplify lambda1 into lambda1 17.175 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 17.175 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 17.175 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 17.175 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 17.175 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 17.175 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 17.175 * [taylor]: Taking taylor expansion of lambda2 in lambda1 17.175 * [backup-simplify]: Simplify lambda2 into lambda2 17.175 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 17.175 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 17.175 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 17.175 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 17.175 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 17.175 * [taylor]: Taking taylor expansion of lambda1 in lambda1 17.175 * [backup-simplify]: Simplify 0 into 0 17.175 * [backup-simplify]: Simplify 1 into 1 17.176 * [backup-simplify]: Simplify (/ 1 1) into 1 17.176 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 17.176 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 17.176 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 17.176 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 17.176 * [taylor]: Taking taylor expansion of lambda2 in lambda1 17.176 * [backup-simplify]: Simplify lambda2 into lambda2 17.176 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 17.176 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 17.176 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 17.176 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 17.176 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 17.176 * [taylor]: Taking taylor expansion of lambda1 in lambda1 17.176 * [backup-simplify]: Simplify 0 into 0 17.176 * [backup-simplify]: Simplify 1 into 1 17.177 * [backup-simplify]: Simplify (/ 1 1) into 1 17.177 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 17.177 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 17.177 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 17.177 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 17.177 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 17.177 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 17.177 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 17.177 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 17.177 * [taylor]: Taking taylor expansion of lambda2 in lambda2 17.177 * [backup-simplify]: Simplify 0 into 0 17.177 * [backup-simplify]: Simplify 1 into 1 17.184 * [backup-simplify]: Simplify (/ 1 1) into 1 17.184 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 17.184 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 17.184 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 17.184 * [taylor]: Taking taylor expansion of lambda1 in lambda2 17.184 * [backup-simplify]: Simplify lambda1 into lambda1 17.184 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 17.184 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 17.184 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 17.184 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 17.184 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 17.184 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 17.184 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 17.185 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 17.185 * [backup-simplify]: Simplify (+ 0) into 0 17.185 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 17.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 17.186 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 17.186 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 17.187 * [backup-simplify]: Simplify (+ 0 0) into 0 17.187 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 17.187 * [taylor]: Taking taylor expansion of 0 in lambda2 17.187 * [backup-simplify]: Simplify 0 into 0 17.187 * [backup-simplify]: Simplify 0 into 0 17.187 * [backup-simplify]: Simplify (+ 0) into 0 17.187 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 17.187 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 17.188 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 17.188 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 17.188 * [backup-simplify]: Simplify (+ 0 0) into 0 17.189 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 17.189 * [backup-simplify]: Simplify 0 into 0 17.189 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 17.190 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 17.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 17.190 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 17.190 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 17.191 * [backup-simplify]: Simplify (+ 0 0) into 0 17.191 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 17.191 * [taylor]: Taking taylor expansion of 0 in lambda2 17.191 * [backup-simplify]: Simplify 0 into 0 17.191 * [backup-simplify]: Simplify 0 into 0 17.191 * [backup-simplify]: Simplify 0 into 0 17.192 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 17.192 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 17.192 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 17.193 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 17.193 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 17.193 * [backup-simplify]: Simplify (+ 0 0) into 0 17.194 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 17.194 * [backup-simplify]: Simplify 0 into 0 17.194 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 17.195 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 17.196 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 17.196 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 17.196 * [backup-simplify]: Simplify (+ 0 0) into 0 17.197 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0 17.197 * [taylor]: Taking taylor expansion of 0 in lambda2 17.197 * [backup-simplify]: Simplify 0 into 0 17.197 * [backup-simplify]: Simplify 0 into 0 17.197 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))) into (* (sin lambda2) (sin lambda1)) 17.197 * [backup-simplify]: Simplify (log (exp (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 17.197 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 17.197 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 17.197 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 17.197 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 17.197 * [taylor]: Taking taylor expansion of -1 in lambda2 17.197 * [backup-simplify]: Simplify -1 into -1 17.197 * [taylor]: Taking taylor expansion of lambda1 in lambda2 17.197 * [backup-simplify]: Simplify lambda1 into lambda1 17.197 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 17.197 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 17.197 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 17.197 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 17.197 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 17.197 * [taylor]: Taking taylor expansion of -1 in lambda2 17.198 * [backup-simplify]: Simplify -1 into -1 17.198 * [taylor]: Taking taylor expansion of lambda2 in lambda2 17.198 * [backup-simplify]: Simplify 0 into 0 17.198 * [backup-simplify]: Simplify 1 into 1 17.198 * [backup-simplify]: Simplify (/ -1 1) into -1 17.198 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 17.198 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 17.198 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 17.198 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 17.198 * [taylor]: Taking taylor expansion of -1 in lambda1 17.198 * [backup-simplify]: Simplify -1 into -1 17.198 * [taylor]: Taking taylor expansion of lambda1 in lambda1 17.198 * [backup-simplify]: Simplify 0 into 0 17.198 * [backup-simplify]: Simplify 1 into 1 17.198 * [backup-simplify]: Simplify (/ -1 1) into -1 17.198 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 17.198 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 17.198 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 17.198 * [taylor]: Taking taylor expansion of -1 in lambda1 17.198 * [backup-simplify]: Simplify -1 into -1 17.198 * [taylor]: Taking taylor expansion of lambda2 in lambda1 17.198 * [backup-simplify]: Simplify lambda2 into lambda2 17.198 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 17.199 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 17.199 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 17.199 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 17.199 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 17.199 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 17.199 * [taylor]: Taking taylor expansion of -1 in lambda1 17.199 * [backup-simplify]: Simplify -1 into -1 17.199 * [taylor]: Taking taylor expansion of lambda1 in lambda1 17.199 * [backup-simplify]: Simplify 0 into 0 17.199 * [backup-simplify]: Simplify 1 into 1 17.199 * [backup-simplify]: Simplify (/ -1 1) into -1 17.199 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 17.199 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 17.199 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 17.199 * [taylor]: Taking taylor expansion of -1 in lambda1 17.199 * [backup-simplify]: Simplify -1 into -1 17.199 * [taylor]: Taking taylor expansion of lambda2 in lambda1 17.199 * [backup-simplify]: Simplify lambda2 into lambda2 17.199 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 17.199 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 17.199 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 17.199 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 17.199 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 17.199 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 17.200 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 17.200 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 17.200 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 17.200 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 17.200 * [taylor]: Taking taylor expansion of -1 in lambda2 17.200 * [backup-simplify]: Simplify -1 into -1 17.200 * [taylor]: Taking taylor expansion of lambda1 in lambda2 17.200 * [backup-simplify]: Simplify lambda1 into lambda1 17.200 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 17.200 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 17.200 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 17.200 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 17.200 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 17.200 * [taylor]: Taking taylor expansion of -1 in lambda2 17.200 * [backup-simplify]: Simplify -1 into -1 17.200 * [taylor]: Taking taylor expansion of lambda2 in lambda2 17.200 * [backup-simplify]: Simplify 0 into 0 17.200 * [backup-simplify]: Simplify 1 into 1 17.200 * [backup-simplify]: Simplify (/ -1 1) into -1 17.200 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 17.200 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 17.200 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 17.200 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 17.200 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 17.200 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 17.201 * [backup-simplify]: Simplify (+ 0) into 0 17.201 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 17.201 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 17.202 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 17.202 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 17.202 * [backup-simplify]: Simplify (+ 0 0) into 0 17.202 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 17.202 * [taylor]: Taking taylor expansion of 0 in lambda2 17.202 * [backup-simplify]: Simplify 0 into 0 17.202 * [backup-simplify]: Simplify 0 into 0 17.203 * [backup-simplify]: Simplify (+ 0) into 0 17.203 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 17.204 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 17.204 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 17.204 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 17.205 * [backup-simplify]: Simplify (+ 0 0) into 0 17.205 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 17.205 * [backup-simplify]: Simplify 0 into 0 17.205 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 17.206 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 17.206 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 17.206 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 17.207 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 17.207 * [backup-simplify]: Simplify (+ 0 0) into 0 17.207 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 17.207 * [taylor]: Taking taylor expansion of 0 in lambda2 17.207 * [backup-simplify]: Simplify 0 into 0 17.207 * [backup-simplify]: Simplify 0 into 0 17.207 * [backup-simplify]: Simplify 0 into 0 17.208 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 17.209 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 17.209 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 17.209 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 17.209 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 17.210 * [backup-simplify]: Simplify (+ 0 0) into 0 17.210 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 17.210 * [backup-simplify]: Simplify 0 into 0 17.211 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 17.211 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.211 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 17.212 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 17.212 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 17.213 * [backup-simplify]: Simplify (+ 0 0) into 0 17.213 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 17.213 * [taylor]: Taking taylor expansion of 0 in lambda2 17.213 * [backup-simplify]: Simplify 0 into 0 17.213 * [backup-simplify]: Simplify 0 into 0 17.213 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2)) 17.213 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 17.214 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 17.214 * [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 17.214 * [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 17.214 * [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))))) 17.214 * [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 17.214 * [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))))) 17.214 * [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 17.215 * [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))))) 17.215 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 17.215 * [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))))) 17.215 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 17.215 * [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))))) 17.215 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 17.216 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 17.216 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 17.216 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 17.216 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 17.216 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 17.217 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 17.217 * [taylor]: Taking taylor expansion of 0 in phi2 17.217 * [backup-simplify]: Simplify 0 into 0 17.217 * [taylor]: Taking taylor expansion of 0 in lambda1 17.217 * [backup-simplify]: Simplify 0 into 0 17.217 * [taylor]: Taking taylor expansion of 0 in lambda2 17.217 * [backup-simplify]: Simplify 0 into 0 17.217 * [backup-simplify]: Simplify 0 into 0 17.217 * [taylor]: Taking taylor expansion of 0 in lambda1 17.217 * [backup-simplify]: Simplify 0 into 0 17.217 * [taylor]: Taking taylor expansion of 0 in lambda2 17.217 * [backup-simplify]: Simplify 0 into 0 17.217 * [backup-simplify]: Simplify 0 into 0 17.217 * [taylor]: Taking taylor expansion of 0 in lambda2 17.217 * [backup-simplify]: Simplify 0 into 0 17.217 * [backup-simplify]: Simplify 0 into 0 17.217 * [backup-simplify]: Simplify 0 into 0 17.217 * [taylor]: Taking taylor expansion of 0 in phi2 17.217 * [backup-simplify]: Simplify 0 into 0 17.217 * [taylor]: Taking taylor expansion of 0 in lambda1 17.217 * [backup-simplify]: Simplify 0 into 0 17.217 * [taylor]: Taking taylor expansion of 0 in lambda2 17.217 * [backup-simplify]: Simplify 0 into 0 17.217 * [backup-simplify]: Simplify 0 into 0 17.217 * [taylor]: Taking taylor expansion of 0 in lambda1 17.217 * [backup-simplify]: Simplify 0 into 0 17.217 * [taylor]: Taking taylor expansion of 0 in lambda2 17.217 * [backup-simplify]: Simplify 0 into 0 17.217 * [backup-simplify]: Simplify 0 into 0 17.218 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 17.218 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (log (exp (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 17.218 * [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 17.218 * [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 17.218 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (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)))))))) 17.218 * [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 17.219 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (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)))))))) 17.219 * [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 17.219 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (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)))))))) 17.219 * [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 17.220 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 17.220 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 17.220 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 17.220 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 17.221 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 17.221 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 17.221 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 17.221 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 17.221 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 17.222 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 17.222 * [taylor]: Taking taylor expansion of 0 in phi2 17.222 * [backup-simplify]: Simplify 0 into 0 17.222 * [taylor]: Taking taylor expansion of 0 in lambda1 17.222 * [backup-simplify]: Simplify 0 into 0 17.222 * [taylor]: Taking taylor expansion of 0 in lambda2 17.222 * [backup-simplify]: Simplify 0 into 0 17.222 * [backup-simplify]: Simplify 0 into 0 17.222 * [taylor]: Taking taylor expansion of 0 in lambda1 17.222 * [backup-simplify]: Simplify 0 into 0 17.222 * [taylor]: Taking taylor expansion of 0 in lambda2 17.222 * [backup-simplify]: Simplify 0 into 0 17.222 * [backup-simplify]: Simplify 0 into 0 17.222 * [taylor]: Taking taylor expansion of 0 in lambda2 17.222 * [backup-simplify]: Simplify 0 into 0 17.222 * [backup-simplify]: Simplify 0 into 0 17.222 * [backup-simplify]: Simplify 0 into 0 17.222 * [taylor]: Taking taylor expansion of 0 in phi2 17.222 * [backup-simplify]: Simplify 0 into 0 17.222 * [taylor]: Taking taylor expansion of 0 in lambda1 17.222 * [backup-simplify]: Simplify 0 into 0 17.222 * [taylor]: Taking taylor expansion of 0 in lambda2 17.222 * [backup-simplify]: Simplify 0 into 0 17.222 * [backup-simplify]: Simplify 0 into 0 17.222 * [taylor]: Taking taylor expansion of 0 in lambda1 17.222 * [backup-simplify]: Simplify 0 into 0 17.222 * [taylor]: Taking taylor expansion of 0 in lambda2 17.222 * [backup-simplify]: Simplify 0 into 0 17.222 * [backup-simplify]: Simplify 0 into 0 17.223 * [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))))) 17.223 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (log (exp (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 17.223 * [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 17.223 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 17.224 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 17.224 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 17.224 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 17.224 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 17.225 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 17.225 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 17.225 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 17.225 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 17.225 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 17.226 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 17.226 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 17.226 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 17.226 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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)))))))) 17.226 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 17.227 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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)))))))) 17.227 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 17.227 * [taylor]: Taking taylor expansion of 0 in phi2 17.227 * [backup-simplify]: Simplify 0 into 0 17.227 * [taylor]: Taking taylor expansion of 0 in lambda1 17.227 * [backup-simplify]: Simplify 0 into 0 17.227 * [taylor]: Taking taylor expansion of 0 in lambda2 17.227 * [backup-simplify]: Simplify 0 into 0 17.227 * [backup-simplify]: Simplify 0 into 0 17.227 * [taylor]: Taking taylor expansion of 0 in lambda1 17.227 * [backup-simplify]: Simplify 0 into 0 17.228 * [taylor]: Taking taylor expansion of 0 in lambda2 17.228 * [backup-simplify]: Simplify 0 into 0 17.228 * [backup-simplify]: Simplify 0 into 0 17.228 * [taylor]: Taking taylor expansion of 0 in lambda2 17.228 * [backup-simplify]: Simplify 0 into 0 17.228 * [backup-simplify]: Simplify 0 into 0 17.228 * [backup-simplify]: Simplify 0 into 0 17.228 * [taylor]: Taking taylor expansion of 0 in phi2 17.228 * [backup-simplify]: Simplify 0 into 0 17.228 * [taylor]: Taking taylor expansion of 0 in lambda1 17.228 * [backup-simplify]: Simplify 0 into 0 17.228 * [taylor]: Taking taylor expansion of 0 in lambda2 17.228 * [backup-simplify]: Simplify 0 into 0 17.228 * [backup-simplify]: Simplify 0 into 0 17.228 * [taylor]: Taking taylor expansion of 0 in lambda1 17.228 * [backup-simplify]: Simplify 0 into 0 17.228 * [taylor]: Taking taylor expansion of 0 in lambda2 17.228 * [backup-simplify]: Simplify 0 into 0 17.228 * [backup-simplify]: Simplify 0 into 0 17.228 * [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))))) 17.228 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 17.229 * [backup-simplify]: Simplify (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 17.229 * [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 17.229 * [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 17.229 * [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))))) 17.229 * [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 17.229 * [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))))) 17.229 * [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 17.230 * [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))))) 17.230 * [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 17.230 * [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))))) 17.230 * [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 17.230 * [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))))) 17.230 * [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 17.231 * [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))))) 17.231 * [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 17.231 * [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))))) 17.231 * [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 17.231 * [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))))) 17.232 * [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))))) 17.232 * [taylor]: Taking taylor expansion of 0 in phi2 17.232 * [backup-simplify]: Simplify 0 into 0 17.232 * [taylor]: Taking taylor expansion of 0 in lambda1 17.232 * [backup-simplify]: Simplify 0 into 0 17.232 * [taylor]: Taking taylor expansion of 0 in lambda2 17.232 * [backup-simplify]: Simplify 0 into 0 17.232 * [backup-simplify]: Simplify 0 into 0 17.232 * [taylor]: Taking taylor expansion of 0 in lambda1 17.232 * [backup-simplify]: Simplify 0 into 0 17.232 * [taylor]: Taking taylor expansion of 0 in lambda2 17.232 * [backup-simplify]: Simplify 0 into 0 17.232 * [backup-simplify]: Simplify 0 into 0 17.232 * [taylor]: Taking taylor expansion of 0 in lambda2 17.232 * [backup-simplify]: Simplify 0 into 0 17.232 * [backup-simplify]: Simplify 0 into 0 17.232 * [backup-simplify]: Simplify 0 into 0 17.232 * [taylor]: Taking taylor expansion of 0 in phi2 17.232 * [backup-simplify]: Simplify 0 into 0 17.232 * [taylor]: Taking taylor expansion of 0 in lambda1 17.232 * [backup-simplify]: Simplify 0 into 0 17.232 * [taylor]: Taking taylor expansion of 0 in lambda2 17.232 * [backup-simplify]: Simplify 0 into 0 17.232 * [backup-simplify]: Simplify 0 into 0 17.232 * [taylor]: Taking taylor expansion of 0 in lambda1 17.232 * [backup-simplify]: Simplify 0 into 0 17.232 * [taylor]: Taking taylor expansion of 0 in lambda2 17.232 * [backup-simplify]: Simplify 0 into 0 17.232 * [backup-simplify]: Simplify 0 into 0 17.232 * [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))))) 17.233 * [backup-simplify]: Simplify (log (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (log (exp (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 17.233 * [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 17.233 * [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 17.233 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (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)))))))) 17.233 * [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 17.234 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (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)))))))) 17.234 * [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 17.234 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (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)))))))) 17.234 * [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 17.235 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (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)))))))) 17.235 * [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 17.235 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (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)))))))) 17.235 * [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 17.236 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (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)))))))) 17.236 * [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 17.236 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (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)))))))) 17.236 * [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 17.236 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (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)))))))) 17.237 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (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)))))))) 17.237 * [taylor]: Taking taylor expansion of 0 in phi2 17.237 * [backup-simplify]: Simplify 0 into 0 17.237 * [taylor]: Taking taylor expansion of 0 in lambda1 17.237 * [backup-simplify]: Simplify 0 into 0 17.237 * [taylor]: Taking taylor expansion of 0 in lambda2 17.237 * [backup-simplify]: Simplify 0 into 0 17.237 * [backup-simplify]: Simplify 0 into 0 17.237 * [taylor]: Taking taylor expansion of 0 in lambda1 17.237 * [backup-simplify]: Simplify 0 into 0 17.237 * [taylor]: Taking taylor expansion of 0 in lambda2 17.237 * [backup-simplify]: Simplify 0 into 0 17.237 * [backup-simplify]: Simplify 0 into 0 17.237 * [taylor]: Taking taylor expansion of 0 in lambda2 17.237 * [backup-simplify]: Simplify 0 into 0 17.237 * [backup-simplify]: Simplify 0 into 0 17.237 * [backup-simplify]: Simplify 0 into 0 17.238 * [taylor]: Taking taylor expansion of 0 in phi2 17.238 * [backup-simplify]: Simplify 0 into 0 17.238 * [taylor]: Taking taylor expansion of 0 in lambda1 17.238 * [backup-simplify]: Simplify 0 into 0 17.238 * [taylor]: Taking taylor expansion of 0 in lambda2 17.238 * [backup-simplify]: Simplify 0 into 0 17.238 * [backup-simplify]: Simplify 0 into 0 17.238 * [taylor]: Taking taylor expansion of 0 in lambda1 17.238 * [backup-simplify]: Simplify 0 into 0 17.238 * [taylor]: Taking taylor expansion of 0 in lambda2 17.238 * [backup-simplify]: Simplify 0 into 0 17.238 * [backup-simplify]: Simplify 0 into 0 17.238 * [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))))) 17.239 * [backup-simplify]: Simplify (log (exp (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (log (exp (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 17.239 * [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 17.239 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 17.239 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 17.239 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 17.240 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 17.240 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 17.240 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 17.240 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 17.240 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 17.240 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 17.241 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 17.241 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 17.241 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 17.241 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 17.242 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 17.242 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 17.242 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))))))) 17.243 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 17.243 * [taylor]: Taking taylor expansion of 0 in phi2 17.243 * [backup-simplify]: Simplify 0 into 0 17.243 * [taylor]: Taking taylor expansion of 0 in lambda1 17.243 * [backup-simplify]: Simplify 0 into 0 17.243 * [taylor]: Taking taylor expansion of 0 in lambda2 17.243 * [backup-simplify]: Simplify 0 into 0 17.243 * [backup-simplify]: Simplify 0 into 0 17.243 * [taylor]: Taking taylor expansion of 0 in lambda1 17.243 * [backup-simplify]: Simplify 0 into 0 17.243 * [taylor]: Taking taylor expansion of 0 in lambda2 17.243 * [backup-simplify]: Simplify 0 into 0 17.243 * [backup-simplify]: Simplify 0 into 0 17.243 * [taylor]: Taking taylor expansion of 0 in lambda2 17.243 * [backup-simplify]: Simplify 0 into 0 17.243 * [backup-simplify]: Simplify 0 into 0 17.243 * [backup-simplify]: Simplify 0 into 0 17.243 * [taylor]: Taking taylor expansion of 0 in phi2 17.243 * [backup-simplify]: Simplify 0 into 0 17.243 * [taylor]: Taking taylor expansion of 0 in lambda1 17.243 * [backup-simplify]: Simplify 0 into 0 17.243 * [taylor]: Taking taylor expansion of 0 in lambda2 17.243 * [backup-simplify]: Simplify 0 into 0 17.243 * [backup-simplify]: Simplify 0 into 0 17.243 * [taylor]: Taking taylor expansion of 0 in lambda1 17.243 * [backup-simplify]: Simplify 0 into 0 17.243 * [taylor]: Taking taylor expansion of 0 in lambda2 17.243 * [backup-simplify]: Simplify 0 into 0 17.243 * [backup-simplify]: Simplify 0 into 0 17.244 * [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))))) 17.244 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 17.244 * [backup-simplify]: Simplify (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (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)))))) 17.244 * [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 17.244 * [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 17.244 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 17.245 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 17.245 * [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)))))) 17.245 * [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 17.245 * [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 17.245 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 17.246 * [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)))))) 17.246 * [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 17.246 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 17.246 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 17.246 * [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)))))) 17.246 * [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 17.246 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 17.247 * [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))))) 17.247 * [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)))))) 17.247 * [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 17.247 * [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 17.247 * [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))))) 17.247 * [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)))))) 17.248 * [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 17.248 * [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 17.248 * [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))))) 17.248 * [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)))))) 17.248 * [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 17.248 * [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 17.249 * [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))))) 17.249 * [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)))))) 17.249 * [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 17.249 * [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 17.249 * [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))))) 17.249 * [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)))))) 17.250 * [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)))))) 17.251 * [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 17.251 * [taylor]: Taking taylor expansion of 0 in phi2 17.251 * [backup-simplify]: Simplify 0 into 0 17.251 * [taylor]: Taking taylor expansion of 0 in lambda1 17.251 * [backup-simplify]: Simplify 0 into 0 17.251 * [taylor]: Taking taylor expansion of 0 in lambda2 17.251 * [backup-simplify]: Simplify 0 into 0 17.251 * [backup-simplify]: Simplify 0 into 0 17.252 * [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 17.252 * [taylor]: Taking taylor expansion of 0 in lambda1 17.252 * [backup-simplify]: Simplify 0 into 0 17.252 * [taylor]: Taking taylor expansion of 0 in lambda2 17.252 * [backup-simplify]: Simplify 0 into 0 17.252 * [backup-simplify]: Simplify 0 into 0 17.253 * [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 17.253 * [taylor]: Taking taylor expansion of 0 in lambda2 17.253 * [backup-simplify]: Simplify 0 into 0 17.253 * [backup-simplify]: Simplify 0 into 0 17.254 * [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 17.254 * [backup-simplify]: Simplify 0 into 0 17.255 * [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 17.255 * [taylor]: Taking taylor expansion of 0 in phi2 17.255 * [backup-simplify]: Simplify 0 into 0 17.255 * [taylor]: Taking taylor expansion of 0 in lambda1 17.255 * [backup-simplify]: Simplify 0 into 0 17.255 * [taylor]: Taking taylor expansion of 0 in lambda2 17.255 * [backup-simplify]: Simplify 0 into 0 17.255 * [backup-simplify]: Simplify 0 into 0 17.255 * [taylor]: Taking taylor expansion of 0 in lambda1 17.255 * [backup-simplify]: Simplify 0 into 0 17.255 * [taylor]: Taking taylor expansion of 0 in lambda2 17.255 * [backup-simplify]: Simplify 0 into 0 17.255 * [backup-simplify]: Simplify 0 into 0 17.255 * [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)))))) 17.256 * [backup-simplify]: Simplify (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (log (exp (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))))))))) into (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))))))))) 17.256 * [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 17.256 * [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 17.256 * [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 17.256 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (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)))))))) 17.257 * [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))))))))) 17.257 * [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 17.257 * [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 17.257 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (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)))))))) 17.258 * [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))))))))) 17.258 * [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 17.258 * [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 17.258 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (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)))))))) 17.259 * [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))))))))) 17.259 * [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 17.259 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 17.260 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 17.261 * [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))))))))) 17.261 * [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 17.261 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 17.262 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 17.263 * [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))))))))) 17.263 * [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 17.263 * [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 17.264 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 17.265 * [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))))))))) 17.265 * [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 17.265 * [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 17.266 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 17.266 * [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))))))))) 17.266 * [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 17.266 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 17.267 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 17.268 * [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))))))))) 17.272 * [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))))))))) 17.274 * [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 17.274 * [taylor]: Taking taylor expansion of 0 in phi2 17.274 * [backup-simplify]: Simplify 0 into 0 17.274 * [taylor]: Taking taylor expansion of 0 in lambda1 17.274 * [backup-simplify]: Simplify 0 into 0 17.274 * [taylor]: Taking taylor expansion of 0 in lambda2 17.275 * [backup-simplify]: Simplify 0 into 0 17.275 * [backup-simplify]: Simplify 0 into 0 17.276 * [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 17.276 * [taylor]: Taking taylor expansion of 0 in lambda1 17.276 * [backup-simplify]: Simplify 0 into 0 17.276 * [taylor]: Taking taylor expansion of 0 in lambda2 17.276 * [backup-simplify]: Simplify 0 into 0 17.276 * [backup-simplify]: Simplify 0 into 0 17.278 * [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 17.278 * [taylor]: Taking taylor expansion of 0 in lambda2 17.278 * [backup-simplify]: Simplify 0 into 0 17.278 * [backup-simplify]: Simplify 0 into 0 17.280 * [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 17.280 * [backup-simplify]: Simplify 0 into 0 17.282 * [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 17.282 * [taylor]: Taking taylor expansion of 0 in phi2 17.282 * [backup-simplify]: Simplify 0 into 0 17.282 * [taylor]: Taking taylor expansion of 0 in lambda1 17.282 * [backup-simplify]: Simplify 0 into 0 17.282 * [taylor]: Taking taylor expansion of 0 in lambda2 17.282 * [backup-simplify]: Simplify 0 into 0 17.282 * [backup-simplify]: Simplify 0 into 0 17.282 * [taylor]: Taking taylor expansion of 0 in lambda1 17.282 * [backup-simplify]: Simplify 0 into 0 17.282 * [taylor]: Taking taylor expansion of 0 in lambda2 17.282 * [backup-simplify]: Simplify 0 into 0 17.282 * [backup-simplify]: Simplify 0 into 0 17.284 * [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)))))) 17.285 * [backup-simplify]: Simplify (exp (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (log (exp (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))))))))) into (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))))))))) 17.285 * [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 17.285 * [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 17.285 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 17.286 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 17.286 * [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))))))))) 17.286 * [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 17.286 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 17.287 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 17.288 * [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))))))))) 17.288 * [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 17.288 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 17.289 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 17.290 * [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))))))))) 17.290 * [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 17.290 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 17.291 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 17.291 * [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))))))))) 17.291 * [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 17.291 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 17.292 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 17.293 * [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))))))))) 17.293 * [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 17.293 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 17.294 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 17.295 * [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))))))))) 17.295 * [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 17.295 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 17.296 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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)))))))) 17.297 * [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))))))))) 17.297 * [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 17.297 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -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 17.298 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 17.298 * [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))))))))) 17.299 * [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))))))))) 17.301 * [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 17.301 * [taylor]: Taking taylor expansion of 0 in phi2 17.301 * [backup-simplify]: Simplify 0 into 0 17.301 * [taylor]: Taking taylor expansion of 0 in lambda1 17.301 * [backup-simplify]: Simplify 0 into 0 17.301 * [taylor]: Taking taylor expansion of 0 in lambda2 17.301 * [backup-simplify]: Simplify 0 into 0 17.301 * [backup-simplify]: Simplify 0 into 0 17.303 * [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 17.303 * [taylor]: Taking taylor expansion of 0 in lambda1 17.303 * [backup-simplify]: Simplify 0 into 0 17.303 * [taylor]: Taking taylor expansion of 0 in lambda2 17.303 * [backup-simplify]: Simplify 0 into 0 17.303 * [backup-simplify]: Simplify 0 into 0 17.305 * [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 17.305 * [taylor]: Taking taylor expansion of 0 in lambda2 17.305 * [backup-simplify]: Simplify 0 into 0 17.305 * [backup-simplify]: Simplify 0 into 0 17.307 * [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 17.307 * [backup-simplify]: Simplify 0 into 0 17.309 * [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 17.309 * [taylor]: Taking taylor expansion of 0 in phi2 17.309 * [backup-simplify]: Simplify 0 into 0 17.309 * [taylor]: Taking taylor expansion of 0 in lambda1 17.309 * [backup-simplify]: Simplify 0 into 0 17.309 * [taylor]: Taking taylor expansion of 0 in lambda2 17.309 * [backup-simplify]: Simplify 0 into 0 17.310 * [backup-simplify]: Simplify 0 into 0 17.310 * [taylor]: Taking taylor expansion of 0 in lambda1 17.310 * [backup-simplify]: Simplify 0 into 0 17.310 * [taylor]: Taking taylor expansion of 0 in lambda2 17.310 * [backup-simplify]: Simplify 0 into 0 17.310 * [backup-simplify]: Simplify 0 into 0 17.311 * [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)))))) 17.311 * * * [progress]: simplifying candidates 17.311 * * * * [progress]: [ 1 / 66 ] simplifiying candidate # 17.311 * [simplify]: Simplifying (log (* (cbrt (exp (* (sin lambda1) (sin lambda2)))) (cbrt (exp (* (sin lambda1) (sin lambda2)))))) 17.311 * * [simplify]: iters left: 6 (9 enodes) 17.316 * * [simplify]: iters left: 5 (32 enodes) 17.325 * * [simplify]: iters left: 4 (42 enodes) 17.337 * * [simplify]: iters left: 3 (55 enodes) 17.352 * * [simplify]: iters left: 2 (82 enodes) 17.366 * * [simplify]: iters left: 1 (147 enodes) 17.409 * * [simplify]: Extracting #0: cost 1 inf + 0 17.410 * * [simplify]: Extracting #1: cost 4 inf + 0 17.410 * * [simplify]: Extracting #2: cost 7 inf + 0 17.410 * * [simplify]: Extracting #3: cost 9 inf + 0 17.410 * * [simplify]: Extracting #4: cost 29 inf + 0 17.410 * * [simplify]: Extracting #5: cost 81 inf + 1 17.411 * * [simplify]: Extracting #6: cost 88 inf + 728 17.413 * * [simplify]: Extracting #7: cost 51 inf + 7790 17.418 * * [simplify]: Extracting #8: cost 10 inf + 27988 17.425 * * [simplify]: Extracting #9: cost 0 inf + 35489 17.429 * * [simplify]: Extracting #10: cost 0 inf + 35027 17.433 * * [simplify]: Extracting #11: cost 0 inf + 34987 17.436 * [simplify]: Simplified to (log (* (cbrt (exp (* (sin lambda2) (sin lambda1)))) (cbrt (exp (* (sin lambda2) (sin lambda1)))))) 17.436 * [simplify]: Simplified (2 1 1 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (+ (log (* (cbrt (exp (* (sin lambda2) (sin lambda1)))) (cbrt (exp (* (sin lambda2) (sin lambda1)))))) (log (cbrt (exp (* (sin lambda1) (sin lambda2)))))))))))) R)) 17.436 * * * * [progress]: [ 2 / 66 ] simplifiying candidate # 17.437 * [simplify]: Simplifying (log (sqrt (exp (* (sin lambda1) (sin lambda2))))) 17.437 * * [simplify]: iters left: 6 (8 enodes) 17.438 * * [simplify]: iters left: 5 (27 enodes) 17.442 * * [simplify]: iters left: 4 (35 enodes) 17.447 * * [simplify]: iters left: 3 (49 enodes) 17.458 * * [simplify]: iters left: 2 (76 enodes) 17.483 * * [simplify]: iters left: 1 (141 enodes) 17.540 * * [simplify]: Extracting #0: cost 1 inf + 0 17.540 * * [simplify]: Extracting #1: cost 3 inf + 0 17.540 * * [simplify]: Extracting #2: cost 6 inf + 0 17.541 * * [simplify]: Extracting #3: cost 31 inf + 0 17.541 * * [simplify]: Extracting #4: cost 85 inf + 1 17.542 * * [simplify]: Extracting #5: cost 85 inf + 1064 17.543 * * [simplify]: Extracting #6: cost 53 inf + 5478 17.547 * * [simplify]: Extracting #7: cost 20 inf + 18813 17.552 * * [simplify]: Extracting #8: cost 1 inf + 30565 17.555 * * [simplify]: Extracting #9: cost 0 inf + 30837 17.559 * [simplify]: Simplified to (log (sqrt (exp (* (sin lambda2) (sin lambda1))))) 17.559 * [simplify]: Simplified (2 1 1 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (+ (log (sqrt (exp (* (sin lambda2) (sin lambda1))))) (log (sqrt (exp (* (sin lambda1) (sin lambda2)))))))))))) R)) 17.559 * * * * [progress]: [ 3 / 66 ] simplifiying candidate # 17.560 * [simplify]: Simplifying (log 1) 17.560 * * [simplify]: iters left: 1 (2 enodes) 17.561 * * [simplify]: Extracting #0: cost 1 inf + 0 17.561 * * [simplify]: Extracting #1: cost 0 inf + 1 17.561 * [simplify]: Simplified to 0 17.561 * [simplify]: Simplified (2 1 1 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (+ 0 (log (exp (* (sin lambda1) (sin lambda2))))))))))) R)) 17.561 * * * * [progress]: [ 4 / 66 ] simplifiying candidate # 17.562 * [simplify]: Simplifying (sin lambda2) 17.562 * * [simplify]: iters left: 1 (2 enodes) 17.562 * * [simplify]: Extracting #0: cost 1 inf + 0 17.562 * * [simplify]: Extracting #1: cost 3 inf + 0 17.562 * * [simplify]: Extracting #2: cost 2 inf + 1 17.562 * * [simplify]: Extracting #3: cost 0 inf + 123 17.562 * [simplify]: Simplified to (sin lambda2) 17.562 * [simplify]: Simplified (2 1 1 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (log (exp (sin lambda1)))))))))) R)) 17.562 * * * * [progress]: [ 5 / 66 ] simplifiying candidate # 17.563 * * * * [progress]: [ 6 / 66 ] simplifiying candidate # 17.563 * [simplify]: Simplifying (sin lambda2) 17.563 * * [simplify]: iters left: 1 (2 enodes) 17.563 * * [simplify]: Extracting #0: cost 1 inf + 0 17.563 * * [simplify]: Extracting #1: cost 3 inf + 0 17.563 * * [simplify]: Extracting #2: cost 2 inf + 1 17.563 * * [simplify]: Extracting #3: cost 0 inf + 123 17.563 * [simplify]: Simplified to (sin lambda2) 17.563 * [simplify]: Simplified (2 1 1 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (log (exp (sin lambda1)))))))))) R)) 17.563 * * * * [progress]: [ 7 / 66 ] simplifiying candidate # 17.563 * * * * [progress]: [ 8 / 66 ] simplifiying candidate # 17.564 * [simplify]: Simplifying (sin lambda1) 17.564 * * [simplify]: iters left: 1 (2 enodes) 17.564 * * [simplify]: Extracting #0: cost 1 inf + 0 17.564 * * [simplify]: Extracting #1: cost 3 inf + 0 17.564 * * [simplify]: Extracting #2: cost 2 inf + 1 17.564 * * [simplify]: Extracting #3: cost 0 inf + 123 17.564 * [simplify]: Simplified to (sin lambda1) 17.564 * [simplify]: Simplified (2 1 1 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) 17.564 * * * * [progress]: [ 9 / 66 ] simplifiying candidate # 17.564 * * * * [progress]: [ 10 / 66 ] simplifiying candidate # 17.564 * * * * [progress]: [ 11 / 66 ] simplifiying candidate # 17.565 * * * * [progress]: [ 12 / 66 ] simplifiying candidate # 17.565 * * * * [progress]: [ 13 / 66 ] simplifiying candidate # 17.565 * * * * [progress]: [ 14 / 66 ] simplifiying candidate # 17.565 * * * * [progress]: [ 15 / 66 ] simplifiying candidate #real (real->posit16 (log (exp (* (sin lambda1) (sin lambda2)))))))))))) R))> 17.565 * * * * [progress]: [ 16 / 66 ] simplifiying candidate # 17.565 * * * * [progress]: [ 17 / 66 ] simplifiying candidate # 17.565 * * * * [progress]: [ 18 / 66 ] simplifiying candidate # 17.565 * * * * [progress]: [ 19 / 66 ] simplifiying candidate # 17.565 * * * * [progress]: [ 20 / 66 ] simplifiying candidate # 17.565 * * * * [progress]: [ 21 / 66 ] simplifiying candidate # 17.565 * * * * [progress]: [ 22 / 66 ] simplifiying candidate # 17.565 * * * * [progress]: [ 23 / 66 ] simplifiying candidate # 17.565 * * * * [progress]: [ 24 / 66 ] simplifiying candidate #real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))))) R))> 17.565 * * * * [progress]: [ 25 / 66 ] simplifiying candidate # 17.565 * [simplify]: Simplifying (log (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))))) 17.565 * * [simplify]: iters left: 6 (26 enodes) 17.571 * * [simplify]: iters left: 5 (95 enodes) 17.588 * * [simplify]: iters left: 4 (169 enodes) 17.637 * * [simplify]: iters left: 3 (294 enodes) 18.150 * * [simplify]: iters left: 2 (443 enodes) 18.317 * * [simplify]: Extracting #0: cost 1 inf + 0 18.317 * * [simplify]: Extracting #1: cost 4 inf + 0 18.318 * * [simplify]: Extracting #2: cost 7 inf + 0 18.318 * * [simplify]: Extracting #3: cost 9 inf + 0 18.318 * * [simplify]: Extracting #4: cost 11 inf + 0 18.318 * * [simplify]: Extracting #5: cost 13 inf + 0 18.318 * * [simplify]: Extracting #6: cost 22 inf + 0 18.318 * * [simplify]: Extracting #7: cost 73 inf + 0 18.319 * * [simplify]: Extracting #8: cost 143 inf + 0 18.320 * * [simplify]: Extracting #9: cost 149 inf + 1901 18.324 * * [simplify]: Extracting #10: cost 102 inf + 15737 18.334 * * [simplify]: Extracting #11: cost 56 inf + 33039 18.344 * * [simplify]: Extracting #12: cost 8 inf + 56004 18.354 * * [simplify]: Extracting #13: cost 1 inf + 61956 18.363 * * [simplify]: Extracting #14: cost 0 inf + 62990 18.379 * [simplify]: Simplified to (log (* (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))))) (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))))))) 18.379 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (+ (log (* (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))))) (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))))))) (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))))) R)) 18.379 * * * * [progress]: [ 26 / 66 ] simplifiying candidate # 18.380 * [simplify]: Simplifying (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) 18.380 * * [simplify]: iters left: 6 (25 enodes) 18.390 * * [simplify]: iters left: 5 (90 enodes) 18.415 * * [simplify]: iters left: 4 (162 enodes) 18.444 * * [simplify]: iters left: 3 (288 enodes) 18.546 * * [simplify]: iters left: 2 (442 enodes) 18.702 * * [simplify]: Extracting #0: cost 1 inf + 0 18.702 * * [simplify]: Extracting #1: cost 3 inf + 0 18.702 * * [simplify]: Extracting #2: cost 5 inf + 0 18.702 * * [simplify]: Extracting #3: cost 7 inf + 0 18.702 * * [simplify]: Extracting #4: cost 9 inf + 0 18.702 * * [simplify]: Extracting #5: cost 18 inf + 0 18.702 * * [simplify]: Extracting #6: cost 69 inf + 0 18.703 * * [simplify]: Extracting #7: cost 139 inf + 0 18.703 * * [simplify]: Extracting #8: cost 147 inf + 1627 18.705 * * [simplify]: Extracting #9: cost 98 inf + 13634 18.713 * * [simplify]: Extracting #10: cost 44 inf + 36261 18.721 * * [simplify]: Extracting #11: cost 6 inf + 53265 18.730 * * [simplify]: Extracting #12: cost 2 inf + 56637 18.739 * * [simplify]: Extracting #13: cost 0 inf + 58515 18.750 * [simplify]: Simplified to (log (sqrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))))))))) 18.750 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (+ (log (sqrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))))) R)) 18.750 * * * * [progress]: [ 27 / 66 ] simplifiying candidate # 18.750 * [simplify]: Simplifying (log 1) 18.751 * * [simplify]: iters left: 1 (2 enodes) 18.753 * * [simplify]: Extracting #0: cost 1 inf + 0 18.753 * * [simplify]: Extracting #1: cost 0 inf + 1 18.753 * [simplify]: Simplified to 0 18.753 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (+ 0 (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) R)) 18.753 * * * * [progress]: [ 28 / 66 ] simplifiying candidate # 18.754 * [simplify]: Simplifying (log (exp (/ PI 2))) 18.754 * * [simplify]: iters left: 4 (5 enodes) 18.756 * * [simplify]: iters left: 3 (15 enodes) 18.760 * * [simplify]: iters left: 2 (17 enodes) 18.765 * * [simplify]: Extracting #0: cost 1 inf + 0 18.765 * * [simplify]: Extracting #1: cost 5 inf + 0 18.765 * * [simplify]: Extracting #2: cost 5 inf + 2 18.765 * * [simplify]: Extracting #3: cost 3 inf + 157 18.766 * * [simplify]: Extracting #4: cost 0 inf + 450 18.766 * [simplify]: Simplified to (/ PI 2) 18.766 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) R)) 18.766 * * * * [progress]: [ 29 / 66 ] simplifiying candidate # 18.766 * * * * [progress]: [ 30 / 66 ] simplifiying candidate # 18.767 * [simplify]: Simplifying (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) 18.767 * * [simplify]: iters left: 6 (23 enodes) 18.776 * * [simplify]: iters left: 5 (84 enodes) 18.804 * * [simplify]: iters left: 4 (156 enodes) 18.863 * * [simplify]: iters left: 3 (282 enodes) 18.966 * * [simplify]: iters left: 2 (433 enodes) 19.065 * * [simplify]: Extracting #0: cost 1 inf + 0 19.065 * * [simplify]: Extracting #1: cost 3 inf + 0 19.065 * * [simplify]: Extracting #2: cost 5 inf + 0 19.065 * * [simplify]: Extracting #3: cost 12 inf + 0 19.066 * * [simplify]: Extracting #4: cost 57 inf + 0 19.066 * * [simplify]: Extracting #5: cost 125 inf + 0 19.066 * * [simplify]: Extracting #6: cost 143 inf + 1354 19.069 * * [simplify]: Extracting #7: cost 90 inf + 18219 19.075 * * [simplify]: Extracting #8: cost 22 inf + 43486 19.083 * * [simplify]: Extracting #9: cost 2 inf + 53250 19.097 * * [simplify]: Extracting #10: cost 0 inf + 53693 19.108 * * [simplify]: Extracting #11: cost 0 inf + 53653 19.116 * [simplify]: Simplified to (cbrt (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi2)) (cos phi1)) (* (sin phi2) (sin phi1))))) 19.116 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi2)) (cos phi1)) (* (sin phi2) (sin phi1))))) (log (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))))) R)) 19.116 * * * * [progress]: [ 31 / 66 ] simplifiying candidate # 19.116 * [simplify]: Simplifying (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) 19.117 * * [simplify]: iters left: 6 (23 enodes) 19.123 * * [simplify]: iters left: 5 (84 enodes) 19.143 * * [simplify]: iters left: 4 (156 enodes) 19.173 * * [simplify]: iters left: 3 (282 enodes) 19.268 * * [simplify]: iters left: 2 (433 enodes) 19.380 * * [simplify]: Extracting #0: cost 1 inf + 0 19.380 * * [simplify]: Extracting #1: cost 3 inf + 0 19.380 * * [simplify]: Extracting #2: cost 5 inf + 0 19.380 * * [simplify]: Extracting #3: cost 12 inf + 0 19.380 * * [simplify]: Extracting #4: cost 57 inf + 0 19.381 * * [simplify]: Extracting #5: cost 125 inf + 0 19.382 * * [simplify]: Extracting #6: cost 143 inf + 1354 19.387 * * [simplify]: Extracting #7: cost 90 inf + 18219 19.400 * * [simplify]: Extracting #8: cost 22 inf + 43446 19.416 * * [simplify]: Extracting #9: cost 2 inf + 53170 19.436 * * [simplify]: Extracting #10: cost 0 inf + 53613 19.447 * * [simplify]: Extracting #11: cost 0 inf + 53573 19.456 * [simplify]: Simplified to (sqrt (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi2)) (cos phi1)) (* (sin phi2) (sin phi1))))) 19.456 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi2)) (cos phi1)) (* (sin phi2) (sin phi1))))) (log (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))))) R)) 19.456 * * * * [progress]: [ 32 / 66 ] simplifiying candidate # 19.456 * [simplify]: Simplifying (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) 19.456 * * [simplify]: iters left: 6 (22 enodes) 19.461 * * [simplify]: iters left: 5 (81 enodes) 19.484 * * [simplify]: iters left: 4 (153 enodes) 19.512 * * [simplify]: iters left: 3 (279 enodes) 19.572 * * [simplify]: iters left: 2 (427 enodes) 19.726 * * [simplify]: Extracting #0: cost 1 inf + 0 19.726 * * [simplify]: Extracting #1: cost 3 inf + 0 19.726 * * [simplify]: Extracting #2: cost 12 inf + 0 19.726 * * [simplify]: Extracting #3: cost 63 inf + 0 19.727 * * [simplify]: Extracting #4: cost 133 inf + 0 19.732 * * [simplify]: Extracting #5: cost 135 inf + 2388 19.735 * * [simplify]: Extracting #6: cost 82 inf + 18458 19.742 * * [simplify]: Extracting #7: cost 20 inf + 42839 19.750 * * [simplify]: Extracting #8: cost 4 inf + 50395 19.758 * * [simplify]: Extracting #9: cost 0 inf + 52951 19.771 * [simplify]: Simplified to (acos (+ (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi2))) (* (sin phi2) (sin phi1)))) 19.771 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi2))) (* (sin phi2) (sin phi1)))) (log (exp 1))) R)) 19.771 * * * * [progress]: [ 33 / 66 ] simplifiying candidate # 19.771 * * * * [progress]: [ 34 / 66 ] simplifiying candidate # 19.772 * [simplify]: Simplifying (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))) 19.772 * * [simplify]: iters left: 6 (21 enodes) 19.781 * * [simplify]: iters left: 5 (78 enodes) 19.806 * * [simplify]: iters left: 4 (150 enodes) 19.856 * * [simplify]: iters left: 3 (274 enodes) 19.934 * * [simplify]: iters left: 2 (427 enodes) 20.071 * * [simplify]: Extracting #0: cost 1 inf + 0 20.072 * * [simplify]: Extracting #1: cost 10 inf + 0 20.072 * * [simplify]: Extracting #2: cost 61 inf + 0 20.073 * * [simplify]: Extracting #3: cost 131 inf + 0 20.074 * * [simplify]: Extracting #4: cost 140 inf + 1535 20.077 * * [simplify]: Extracting #5: cost 97 inf + 12967 20.089 * * [simplify]: Extracting #6: cost 27 inf + 38778 20.105 * * [simplify]: Extracting #7: cost 0 inf + 51403 20.120 * [simplify]: Simplified to (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))))) 20.121 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))) R)) 20.121 * * * * [progress]: [ 35 / 66 ] simplifiying candidate # 20.121 * * * * [progress]: [ 36 / 66 ] simplifiying candidate # 20.122 * * * * [progress]: [ 37 / 66 ] simplifiying candidate # 20.122 * * * * [progress]: [ 38 / 66 ] simplifiying candidate # 20.122 * * * * [progress]: [ 39 / 66 ] simplifiying candidate # 20.122 * * * * [progress]: [ 40 / 66 ] simplifiying candidate # 20.122 * * * * [progress]: [ 41 / 66 ] simplifiying candidate #real (real->posit16 (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))))) R))> 20.122 * * * * [progress]: [ 42 / 66 ] simplifiying candidate # 20.122 * * * * [progress]: [ 43 / 66 ] simplifiying candidate # 20.122 * [simplify]: Simplifying (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) 20.123 * * [simplify]: iters left: 6 (25 enodes) 20.133 * * [simplify]: iters left: 5 (92 enodes) 20.148 * * [simplify]: iters left: 4 (169 enodes) 20.178 * * [simplify]: iters left: 3 (303 enodes) 20.265 * * [simplify]: iters left: 2 (476 enodes) 20.407 * * [simplify]: Extracting #0: cost 1 inf + 0 20.407 * * [simplify]: Extracting #1: cost 12 inf + 0 20.408 * * [simplify]: Extracting #2: cost 36 inf + 0 20.408 * * [simplify]: Extracting #3: cost 46 inf + 2 20.408 * * [simplify]: Extracting #4: cost 51 inf + 4 20.409 * * [simplify]: Extracting #5: cost 96 inf + 4 20.409 * * [simplify]: Extracting #6: cost 163 inf + 4 20.411 * * [simplify]: Extracting #7: cost 182 inf + 1397 20.415 * * [simplify]: Extracting #8: cost 135 inf + 12278 20.427 * * [simplify]: Extracting #9: cost 71 inf + 38451 20.447 * * [simplify]: Extracting #10: cost 25 inf + 69479 20.477 * * [simplify]: Extracting #11: cost 4 inf + 93311 20.506 * * [simplify]: Extracting #12: cost 0 inf + 99536 20.536 * [simplify]: Simplified to (exp (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))))))))) 20.536 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) R)) 20.536 * * * * [progress]: [ 44 / 66 ] simplifiying candidate # 20.537 * [simplify]: Simplifying (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) 20.537 * * [simplify]: iters left: 6 (24 enodes) 20.547 * * [simplify]: iters left: 5 (87 enodes) 20.574 * * [simplify]: iters left: 4 (159 enodes) 20.605 * * [simplify]: iters left: 3 (284 enodes) 20.660 * * [simplify]: iters left: 2 (431 enodes) 20.775 * * [simplify]: Extracting #0: cost 1 inf + 0 20.775 * * [simplify]: Extracting #1: cost 3 inf + 0 20.775 * * [simplify]: Extracting #2: cost 5 inf + 0 20.775 * * [simplify]: Extracting #3: cost 7 inf + 0 20.775 * * [simplify]: Extracting #4: cost 16 inf + 0 20.776 * * [simplify]: Extracting #5: cost 67 inf + 0 20.777 * * [simplify]: Extracting #6: cost 137 inf + 0 20.778 * * [simplify]: Extracting #7: cost 147 inf + 1334 20.782 * * [simplify]: Extracting #8: cost 91 inf + 14640 20.793 * * [simplify]: Extracting #9: cost 33 inf + 38011 20.809 * * [simplify]: Extracting #10: cost 6 inf + 51598 20.825 * * [simplify]: Extracting #11: cost 1 inf + 55149 20.841 * * [simplify]: Extracting #12: cost 0 inf + 56113 20.857 * [simplify]: Simplified to (exp (sqrt (acos (+ (* (* (cos phi1) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (cos phi2)) (* (sin phi2) (sin phi1)))))) 20.858 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (sqrt (acos (+ (* (* (cos phi1) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (cos phi2)) (* (sin phi2) (sin phi1)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) R)) 20.858 * * * * [progress]: [ 45 / 66 ] simplifiying candidate # 20.858 * [simplify]: Simplifying (exp 1) 20.858 * * [simplify]: iters left: 1 (2 enodes) 20.860 * * [simplify]: Extracting #0: cost 1 inf + 0 20.860 * * [simplify]: Extracting #1: cost 0 inf + 1 20.860 * [simplify]: Simplified to E 20.860 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow E (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) R)) 20.860 * * * * [progress]: [ 46 / 66 ] simplifiying candidate # 20.861 * [simplify]: Simplifying (exp (/ PI 2)) 20.861 * * [simplify]: iters left: 3 (4 enodes) 20.863 * * [simplify]: iters left: 2 (14 enodes) 20.867 * * [simplify]: iters left: 1 (16 enodes) 20.872 * * [simplify]: Extracting #0: cost 1 inf + 0 20.872 * * [simplify]: Extracting #1: cost 4 inf + 0 20.872 * * [simplify]: Extracting #2: cost 8 inf + 0 20.872 * * [simplify]: Extracting #3: cost 6 inf + 2 20.872 * * [simplify]: Extracting #4: cost 0 inf + 452 20.872 * * [simplify]: Extracting #5: cost 0 inf + 450 20.872 * [simplify]: Simplified to (sqrt (exp PI)) 20.872 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) R)) 20.873 * * * * [progress]: [ 47 / 66 ] simplifiying candidate # 20.873 * [simplify]: Simplifying (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) 20.873 * * [simplify]: iters left: 6 (22 enodes) 20.883 * * [simplify]: iters left: 5 (81 enodes) 20.911 * * [simplify]: iters left: 4 (153 enodes) 20.937 * * [simplify]: iters left: 3 (279 enodes) 20.996 * * [simplify]: iters left: 2 (427 enodes) 21.127 * * [simplify]: Extracting #0: cost 1 inf + 0 21.127 * * [simplify]: Extracting #1: cost 3 inf + 0 21.127 * * [simplify]: Extracting #2: cost 12 inf + 0 21.127 * * [simplify]: Extracting #3: cost 63 inf + 0 21.128 * * [simplify]: Extracting #4: cost 133 inf + 0 21.128 * * [simplify]: Extracting #5: cost 135 inf + 2388 21.131 * * [simplify]: Extracting #6: cost 82 inf + 18458 21.141 * * [simplify]: Extracting #7: cost 20 inf + 42839 21.156 * * [simplify]: Extracting #8: cost 4 inf + 50395 21.168 * * [simplify]: Extracting #9: cost 0 inf + 52951 21.178 * [simplify]: Simplified to (acos (+ (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi2))) (* (sin phi2) (sin phi1)))) 21.178 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi2))) (* (sin phi2) (sin phi1)))))) R)) 21.178 * * * * [progress]: [ 48 / 66 ] simplifiying candidate # 21.178 * * * * [progress]: [ 49 / 66 ] simplifiying candidate # 21.178 * * * * [progress]: [ 50 / 66 ] simplifiying candidate # 21.179 * * * * [progress]: [ 51 / 66 ] simplifiying candidate # 21.179 * * * * [progress]: [ 52 / 66 ] simplifiying candidate # 21.179 * * * * [progress]: [ 53 / 66 ] simplifiying candidate # 21.179 * * * * [progress]: [ 54 / 66 ] simplifiying candidate #real (real->posit16 (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))))) R))> 21.179 * * * * [progress]: [ 55 / 66 ] simplifiying candidate # 21.179 * [simplify]: Simplifying (* lambda2 lambda1) 21.179 * * [simplify]: iters left: 2 (3 enodes) 21.180 * * [simplify]: iters left: 1 (10 enodes) 21.181 * * [simplify]: Extracting #0: cost 1 inf + 0 21.181 * * [simplify]: Extracting #1: cost 4 inf + 0 21.181 * * [simplify]: Extracting #2: cost 2 inf + 2 21.181 * * [simplify]: Extracting #3: cost 0 inf + 86 21.181 * [simplify]: Simplified to (* lambda2 lambda1) 21.181 * [simplify]: Simplified (2 1 1 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* lambda2 lambda1))))))) R)) 21.181 * * * * [progress]: [ 56 / 66 ] simplifiying candidate # 21.181 * [simplify]: Simplifying (* (sin lambda2) (sin lambda1)) 21.181 * * [simplify]: iters left: 3 (5 enodes) 21.183 * * [simplify]: iters left: 2 (16 enodes) 21.187 * * [simplify]: Extracting #0: cost 1 inf + 0 21.187 * * [simplify]: Extracting #1: cost 4 inf + 0 21.187 * * [simplify]: Extracting #2: cost 8 inf + 0 21.187 * * [simplify]: Extracting #3: cost 4 inf + 124 21.187 * * [simplify]: Extracting #4: cost 0 inf + 570 21.188 * [simplify]: Simplified to (* (sin lambda1) (sin lambda2)) 21.188 * [simplify]: Simplified (2 1 1 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) 21.188 * * * * [progress]: [ 57 / 66 ] simplifiying candidate # 21.188 * [simplify]: Simplifying (* (sin lambda1) (sin lambda2)) 21.188 * * [simplify]: iters left: 3 (5 enodes) 21.191 * * [simplify]: iters left: 2 (16 enodes) 21.195 * * [simplify]: Extracting #0: cost 1 inf + 0 21.195 * * [simplify]: Extracting #1: cost 4 inf + 0 21.195 * * [simplify]: Extracting #2: cost 8 inf + 0 21.195 * * [simplify]: Extracting #3: cost 4 inf + 124 21.195 * * [simplify]: Extracting #4: cost 0 inf + 570 21.196 * [simplify]: Simplified to (* (sin lambda2) (sin lambda1)) 21.196 * [simplify]: Simplified (2 1 1 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))))) R)) 21.196 * * * * [progress]: [ 58 / 66 ] simplifiying candidate # 21.196 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 21.196 * * [simplify]: iters left: 6 (22 enodes) 21.202 * * [simplify]: iters left: 5 (84 enodes) 21.215 * * [simplify]: iters left: 4 (141 enodes) 21.253 * * [simplify]: iters left: 3 (241 enodes) 21.307 * * [simplify]: iters left: 2 (280 enodes) 21.355 * * [simplify]: Extracting #0: cost 1 inf + 0 21.355 * * [simplify]: Extracting #1: cost 3 inf + 0 21.355 * * [simplify]: Extracting #2: cost 10 inf + 0 21.355 * * [simplify]: Extracting #3: cost 46 inf + 0 21.356 * * [simplify]: Extracting #4: cost 80 inf + 0 21.357 * * [simplify]: Extracting #5: cost 63 inf + 1504 21.360 * * [simplify]: Extracting #6: cost 22 inf + 9796 21.366 * * [simplify]: Extracting #7: cost 5 inf + 17031 21.372 * * [simplify]: Extracting #8: cost 0 inf + 19888 21.379 * * [simplify]: Extracting #9: cost 0 inf + 19728 21.386 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) 21.386 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) R)) 21.386 * * * * [progress]: [ 59 / 66 ] simplifiying candidate # 21.386 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 21.387 * * [simplify]: iters left: 6 (22 enodes) 21.391 * * [simplify]: iters left: 5 (84 enodes) 21.404 * * [simplify]: iters left: 4 (141 enodes) 21.434 * * [simplify]: iters left: 3 (241 enodes) 21.488 * * [simplify]: iters left: 2 (280 enodes) 21.525 * * [simplify]: Extracting #0: cost 1 inf + 0 21.525 * * [simplify]: Extracting #1: cost 3 inf + 0 21.525 * * [simplify]: Extracting #2: cost 10 inf + 0 21.525 * * [simplify]: Extracting #3: cost 46 inf + 0 21.525 * * [simplify]: Extracting #4: cost 80 inf + 0 21.525 * * [simplify]: Extracting #5: cost 58 inf + 2112 21.529 * * [simplify]: Extracting #6: cost 20 inf + 10221 21.535 * * [simplify]: Extracting #7: cost 2 inf + 18300 21.542 * * [simplify]: Extracting #8: cost 0 inf + 19888 21.548 * * [simplify]: Extracting #9: cost 0 inf + 19728 21.555 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) 21.555 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))))) R)) 21.555 * * * * [progress]: [ 60 / 66 ] simplifiying candidate # 21.556 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 21.556 * * [simplify]: iters left: 6 (22 enodes) 21.566 * * [simplify]: iters left: 5 (84 enodes) 21.592 * * [simplify]: iters left: 4 (141 enodes) 21.643 * * [simplify]: iters left: 3 (241 enodes) 21.721 * * [simplify]: iters left: 2 (280 enodes) 21.776 * * [simplify]: Extracting #0: cost 1 inf + 0 21.776 * * [simplify]: Extracting #1: cost 3 inf + 0 21.776 * * [simplify]: Extracting #2: cost 10 inf + 0 21.776 * * [simplify]: Extracting #3: cost 46 inf + 0 21.776 * * [simplify]: Extracting #4: cost 80 inf + 0 21.776 * * [simplify]: Extracting #5: cost 63 inf + 1504 21.778 * * [simplify]: Extracting #6: cost 22 inf + 9796 21.784 * * [simplify]: Extracting #7: cost 5 inf + 17031 21.790 * * [simplify]: Extracting #8: cost 0 inf + 19888 21.798 * * [simplify]: Extracting #9: cost 0 inf + 19728 21.804 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) 21.804 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) R)) 21.805 * * * * [progress]: [ 61 / 66 ] simplifiying candidate # 21.805 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 21.805 * * [simplify]: iters left: 6 (22 enodes) 21.815 * * [simplify]: iters left: 5 (84 enodes) 21.836 * * [simplify]: iters left: 4 (141 enodes) 21.863 * * [simplify]: iters left: 3 (241 enodes) 21.916 * * [simplify]: iters left: 2 (280 enodes) 21.976 * * [simplify]: Extracting #0: cost 1 inf + 0 21.976 * * [simplify]: Extracting #1: cost 3 inf + 0 21.976 * * [simplify]: Extracting #2: cost 10 inf + 0 21.976 * * [simplify]: Extracting #3: cost 46 inf + 0 21.977 * * [simplify]: Extracting #4: cost 80 inf + 0 21.977 * * [simplify]: Extracting #5: cost 63 inf + 1504 21.980 * * [simplify]: Extracting #6: cost 22 inf + 9796 21.986 * * [simplify]: Extracting #7: cost 5 inf + 17031 21.992 * * [simplify]: Extracting #8: cost 0 inf + 19888 21.999 * * [simplify]: Extracting #9: cost 0 inf + 19728 22.006 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) 22.006 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R)) 22.006 * * * * [progress]: [ 62 / 66 ] simplifiying candidate # 22.007 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 22.007 * * [simplify]: iters left: 6 (22 enodes) 22.016 * * [simplify]: iters left: 5 (84 enodes) 22.042 * * [simplify]: iters left: 4 (141 enodes) 22.093 * * [simplify]: iters left: 3 (241 enodes) 22.164 * * [simplify]: iters left: 2 (280 enodes) 22.217 * * [simplify]: Extracting #0: cost 1 inf + 0 22.217 * * [simplify]: Extracting #1: cost 3 inf + 0 22.217 * * [simplify]: Extracting #2: cost 10 inf + 0 22.217 * * [simplify]: Extracting #3: cost 46 inf + 0 22.217 * * [simplify]: Extracting #4: cost 80 inf + 0 22.218 * * [simplify]: Extracting #5: cost 58 inf + 2112 22.219 * * [simplify]: Extracting #6: cost 20 inf + 10221 22.222 * * [simplify]: Extracting #7: cost 2 inf + 18300 22.225 * * [simplify]: Extracting #8: cost 0 inf + 19888 22.229 * * [simplify]: Extracting #9: cost 0 inf + 19728 22.232 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) 22.232 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) R)) 22.232 * * * * [progress]: [ 63 / 66 ] simplifiying candidate # 22.232 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 22.232 * * [simplify]: iters left: 6 (22 enodes) 22.237 * * [simplify]: iters left: 5 (84 enodes) 22.252 * * [simplify]: iters left: 4 (141 enodes) 22.304 * * [simplify]: iters left: 3 (241 enodes) 22.356 * * [simplify]: iters left: 2 (280 enodes) 22.413 * * [simplify]: Extracting #0: cost 1 inf + 0 22.413 * * [simplify]: Extracting #1: cost 3 inf + 0 22.413 * * [simplify]: Extracting #2: cost 10 inf + 0 22.413 * * [simplify]: Extracting #3: cost 46 inf + 0 22.414 * * [simplify]: Extracting #4: cost 80 inf + 0 22.415 * * [simplify]: Extracting #5: cost 63 inf + 1504 22.418 * * [simplify]: Extracting #6: cost 22 inf + 9796 22.423 * * [simplify]: Extracting #7: cost 5 inf + 17031 22.430 * * [simplify]: Extracting #8: cost 0 inf + 19888 22.437 * * [simplify]: Extracting #9: cost 0 inf + 19728 22.443 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) 22.443 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R)) 22.444 * * * * [progress]: [ 64 / 66 ] simplifiying candidate # 22.444 * [simplify]: Simplifying (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 22.444 * * [simplify]: iters left: 6 (23 enodes) 22.454 * * [simplify]: iters left: 5 (87 enodes) 22.480 * * [simplify]: iters left: 4 (144 enodes) 22.532 * * [simplify]: iters left: 3 (245 enodes) 22.611 * * [simplify]: iters left: 2 (290 enodes) 22.682 * * [simplify]: Extracting #0: cost 1 inf + 0 22.682 * * [simplify]: Extracting #1: cost 3 inf + 0 22.682 * * [simplify]: Extracting #2: cost 5 inf + 0 22.682 * * [simplify]: Extracting #3: cost 12 inf + 0 22.682 * * [simplify]: Extracting #4: cost 48 inf + 0 22.683 * * [simplify]: Extracting #5: cost 82 inf + 0 22.683 * * [simplify]: Extracting #6: cost 68 inf + 917 22.684 * * [simplify]: Extracting #7: cost 37 inf + 6545 22.687 * * [simplify]: Extracting #8: cost 6 inf + 17113 22.690 * * [simplify]: Extracting #9: cost 2 inf + 19838 22.697 * * [simplify]: Extracting #10: cost 0 inf + 21576 22.704 * [simplify]: Simplified to (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 22.705 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) R)) 22.705 * * * * [progress]: [ 65 / 66 ] simplifiying candidate # 22.705 * [simplify]: Simplifying (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) 22.705 * * [simplify]: iters left: 6 (23 enodes) 22.716 * * [simplify]: iters left: 5 (87 enodes) 22.741 * * [simplify]: iters left: 4 (144 enodes) 22.768 * * [simplify]: iters left: 3 (245 enodes) 22.821 * * [simplify]: iters left: 2 (290 enodes) 22.870 * * [simplify]: Extracting #0: cost 1 inf + 0 22.870 * * [simplify]: Extracting #1: cost 3 inf + 0 22.870 * * [simplify]: Extracting #2: cost 5 inf + 0 22.870 * * [simplify]: Extracting #3: cost 12 inf + 0 22.870 * * [simplify]: Extracting #4: cost 48 inf + 0 22.871 * * [simplify]: Extracting #5: cost 82 inf + 0 22.871 * * [simplify]: Extracting #6: cost 65 inf + 1201 22.872 * * [simplify]: Extracting #7: cost 32 inf + 7557 22.875 * * [simplify]: Extracting #8: cost 6 inf + 17113 22.878 * * [simplify]: Extracting #9: cost 2 inf + 19838 22.882 * * [simplify]: Extracting #10: cost 0 inf + 21576 22.886 * [simplify]: Simplified to (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi1) (sin phi2))))) 22.886 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi1) (sin phi2)))))) R)) 22.886 * * * * [progress]: [ 66 / 66 ] simplifiying candidate # 22.886 * [simplify]: Simplifying (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 22.887 * * [simplify]: iters left: 6 (23 enodes) 22.893 * * [simplify]: iters left: 5 (87 enodes) 22.914 * * [simplify]: iters left: 4 (144 enodes) 22.940 * * [simplify]: iters left: 3 (245 enodes) 23.001 * * [simplify]: iters left: 2 (290 enodes) 23.080 * * [simplify]: Extracting #0: cost 1 inf + 0 23.080 * * [simplify]: Extracting #1: cost 3 inf + 0 23.080 * * [simplify]: Extracting #2: cost 5 inf + 0 23.080 * * [simplify]: Extracting #3: cost 12 inf + 0 23.080 * * [simplify]: Extracting #4: cost 48 inf + 0 23.080 * * [simplify]: Extracting #5: cost 82 inf + 0 23.081 * * [simplify]: Extracting #6: cost 68 inf + 917 23.083 * * [simplify]: Extracting #7: cost 37 inf + 6545 23.089 * * [simplify]: Extracting #8: cost 6 inf + 17113 23.097 * * [simplify]: Extracting #9: cost 2 inf + 19838 23.104 * * [simplify]: Extracting #10: cost 0 inf + 21576 23.111 * [simplify]: Simplified to (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 23.111 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) R)) 23.111 * * * [progress]: adding candidates to table 24.883 * [progress]: [Phase 3 of 3] Extracting. 24.884 * * [regime]: Finding splitpoints for: (# #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # # # # # # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # #) 24.908 * * * [regime-changes]: Trying 5 branch expressions: (R lambda2 lambda1 phi2 phi1) 24.908 * * * * [regimes]: Trying to branch on R from (# #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # # # # # # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # #) 25.153 * * * * [regimes]: Trying to branch on lambda2 from (# #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # # # # # # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # #) 25.432 * * * * [regimes]: Trying to branch on lambda1 from (# #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # # # # # # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # #) 25.725 * * * * [regimes]: Trying to branch on phi2 from (# #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # # # # # # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # #) 25.983 * * * * [regimes]: Trying to branch on phi1 from (# #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # # # # # # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # #) 26.243 * * * [regime]: Found split indices: #