49.704 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.145 * * * [progress]: [2/2] Setting up program. 0.148 * [progress]: [Phase 2 of 3] Improving. 0.148 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.148 * * [simplify]: Extracting # 0 : cost 0 0.148 * * [simplify]: Extracting # 1 : cost 0 0.148 * * [simplify]: Extracting # 2 : cost 0 0.148 * * [simplify]: Extracting # 3 : cost 0 0.148 * * [simplify]: Extracting # 4 : cost 0 0.148 * * [simplify]: Extracting # 5 : cost 0 0.148 * * [simplify]: Extracting # 6 : cost 0 0.148 * * [simplify]: Extracting # 7 : cost 0 0.148 * * [simplify]: iteration 0 : 13 enodes (cost 16 ) 0.151 * * [simplify]: Extracting # 0 : cost 0 0.151 * * [simplify]: Extracting # 1 : cost 0 0.151 * * [simplify]: Extracting # 2 : cost 0 0.152 * * [simplify]: Extracting # 3 : cost 0 0.152 * * [simplify]: Extracting # 4 : cost 0 0.152 * * [simplify]: Extracting # 5 : cost 0 0.152 * * [simplify]: iteration 1 : 29 enodes (cost 16 ) 0.157 * * [simplify]: Extracting # 0 : cost 0 0.158 * * [simplify]: Extracting # 1 : cost 0 0.158 * * [simplify]: Extracting # 2 : cost 0 0.158 * * [simplify]: Extracting # 3 : cost 0 0.158 * * [simplify]: Extracting # 4 : cost 0 0.158 * * [simplify]: iteration 2 : 59 enodes (cost 16 ) 0.170 * * [simplify]: Extracting # 0 : cost 0 0.170 * * [simplify]: Extracting # 1 : cost 0 0.170 * * [simplify]: Extracting # 2 : cost 0 0.170 * * [simplify]: Extracting # 3 : cost 0 0.171 * * [simplify]: Extracting # 4 : cost 0 0.171 * * [simplify]: iteration 3 : 119 enodes (cost 16 ) 0.211 * * [simplify]: Extracting # 0 : cost 0 0.212 * * [simplify]: Extracting # 1 : cost 0 0.213 * * [simplify]: Extracting # 2 : cost 0 0.213 * * [simplify]: Extracting # 3 : cost 0 0.214 * * [simplify]: Extracting # 4 : cost 0 0.214 * * [simplify]: iteration 4 : 313 enodes (cost 16 ) 0.415 * * [simplify]: Extracting # 0 : cost 0 0.417 * * [simplify]: Extracting # 1 : cost 0 0.419 * * [simplify]: Extracting # 2 : cost 0 0.420 * * [simplify]: Extracting # 3 : cost 0 0.421 * * [simplify]: Extracting # 4 : cost 0 0.423 * * [simplify]: iteration 5 : 843 enodes (cost 16 ) 1.902 * * [simplify]: Extracting # 0 : cost 0 1.906 * * [simplify]: Extracting # 1 : cost 0 1.908 * * [simplify]: Extracting # 2 : cost 0 1.911 * * [simplify]: Extracting # 3 : cost 0 1.914 * * [simplify]: Extracting # 4 : cost 0 1.921 * * [simplify]: iteration 6 : 3221 enodes (cost 16 ) 3.696 * * [simplify]: Extracting # 0 : cost 0 3.702 * * [simplify]: Extracting # 1 : cost 0 3.706 * * [simplify]: Extracting # 2 : cost 0 3.711 * * [simplify]: Extracting # 3 : cost 0 3.716 * * [simplify]: Extracting # 4 : cost 0 3.720 * * [simplify]: iteration done: 5001 enodes (cost 16 ) 3.720 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3.721 * * [progress]: iteration 1 / 4 3.721 * * * [progress]: picking best candidate 3.723 * * * * [pick]: Picked # 3.723 * * * [progress]: localizing error 3.737 * * * [progress]: generating rewritten candidates 3.737 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.763 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.769 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 3.787 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.839 * * * [progress]: generating series expansions 3.840 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.841 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 3.841 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 3.841 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.841 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.841 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.841 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.841 * [taylor]: Taking taylor expansion of 0.5 in k 3.841 * [backup-simplify]: Simplify 0.5 into 0.5 3.841 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.841 * [taylor]: Taking taylor expansion of 1.0 in k 3.841 * [backup-simplify]: Simplify 1.0 into 1.0 3.841 * [taylor]: Taking taylor expansion of k in k 3.841 * [backup-simplify]: Simplify 0 into 0 3.841 * [backup-simplify]: Simplify 1 into 1 3.841 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.841 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.841 * [taylor]: Taking taylor expansion of 2.0 in k 3.841 * [backup-simplify]: Simplify 2.0 into 2.0 3.841 * [taylor]: Taking taylor expansion of (* n PI) in k 3.841 * [taylor]: Taking taylor expansion of n in k 3.841 * [backup-simplify]: Simplify n into n 3.841 * [taylor]: Taking taylor expansion of PI in k 3.842 * [backup-simplify]: Simplify PI into PI 3.842 * [backup-simplify]: Simplify (* n PI) into (* n PI) 3.842 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 3.842 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 3.843 * [backup-simplify]: Simplify (- 0) into 0 3.843 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.843 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 3.844 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 3.844 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 3.844 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.844 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.844 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.844 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.844 * [taylor]: Taking taylor expansion of 0.5 in n 3.844 * [backup-simplify]: Simplify 0.5 into 0.5 3.844 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.844 * [taylor]: Taking taylor expansion of 1.0 in n 3.844 * [backup-simplify]: Simplify 1.0 into 1.0 3.844 * [taylor]: Taking taylor expansion of k in n 3.844 * [backup-simplify]: Simplify k into k 3.844 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.844 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.844 * [taylor]: Taking taylor expansion of 2.0 in n 3.844 * [backup-simplify]: Simplify 2.0 into 2.0 3.844 * [taylor]: Taking taylor expansion of (* n PI) in n 3.844 * [taylor]: Taking taylor expansion of n in n 3.844 * [backup-simplify]: Simplify 0 into 0 3.844 * [backup-simplify]: Simplify 1 into 1 3.844 * [taylor]: Taking taylor expansion of PI in n 3.844 * [backup-simplify]: Simplify PI into PI 3.845 * [backup-simplify]: Simplify (* 0 PI) into 0 3.845 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.847 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.848 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.849 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.850 * [backup-simplify]: Simplify (- k) into (- k) 3.850 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 3.850 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 3.851 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.852 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 3.854 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 3.854 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.854 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.854 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.854 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.854 * [taylor]: Taking taylor expansion of 0.5 in n 3.854 * [backup-simplify]: Simplify 0.5 into 0.5 3.854 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.854 * [taylor]: Taking taylor expansion of 1.0 in n 3.854 * [backup-simplify]: Simplify 1.0 into 1.0 3.854 * [taylor]: Taking taylor expansion of k in n 3.854 * [backup-simplify]: Simplify k into k 3.854 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.854 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.854 * [taylor]: Taking taylor expansion of 2.0 in n 3.854 * [backup-simplify]: Simplify 2.0 into 2.0 3.854 * [taylor]: Taking taylor expansion of (* n PI) in n 3.854 * [taylor]: Taking taylor expansion of n in n 3.854 * [backup-simplify]: Simplify 0 into 0 3.854 * [backup-simplify]: Simplify 1 into 1 3.854 * [taylor]: Taking taylor expansion of PI in n 3.854 * [backup-simplify]: Simplify PI into PI 3.855 * [backup-simplify]: Simplify (* 0 PI) into 0 3.855 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.857 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.858 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.859 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.859 * [backup-simplify]: Simplify (- k) into (- k) 3.859 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 3.859 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 3.861 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.862 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 3.863 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 3.863 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.863 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.863 * [taylor]: Taking taylor expansion of 0.5 in k 3.863 * [backup-simplify]: Simplify 0.5 into 0.5 3.863 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.863 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.863 * [taylor]: Taking taylor expansion of 1.0 in k 3.863 * [backup-simplify]: Simplify 1.0 into 1.0 3.863 * [taylor]: Taking taylor expansion of k in k 3.863 * [backup-simplify]: Simplify 0 into 0 3.863 * [backup-simplify]: Simplify 1 into 1 3.864 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.864 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.864 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.864 * [taylor]: Taking taylor expansion of 2.0 in k 3.864 * [backup-simplify]: Simplify 2.0 into 2.0 3.864 * [taylor]: Taking taylor expansion of PI in k 3.864 * [backup-simplify]: Simplify PI into PI 3.864 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.865 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.865 * [taylor]: Taking taylor expansion of (log n) in k 3.865 * [taylor]: Taking taylor expansion of n in k 3.865 * [backup-simplify]: Simplify n into n 3.865 * [backup-simplify]: Simplify (log n) into (log n) 3.866 * [backup-simplify]: Simplify (- 0) into 0 3.866 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.867 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 3.868 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 3.869 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 3.871 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 3.872 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 3.873 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 3.874 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 3.875 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 3.876 * [backup-simplify]: Simplify (- 0) into 0 3.876 * [backup-simplify]: Simplify (+ 0 0) into 0 3.877 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 3.878 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.879 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 3.881 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.881 * [taylor]: Taking taylor expansion of 0 in k 3.881 * [backup-simplify]: Simplify 0 into 0 3.881 * [backup-simplify]: Simplify 0 into 0 3.882 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 3.884 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 3.885 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 3.885 * [backup-simplify]: Simplify (+ 0 0) into 0 3.886 * [backup-simplify]: Simplify (- 1) into -1 3.886 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.887 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 3.890 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 3.893 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 3.896 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 3.898 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 3.899 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 3.902 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 3.903 * [backup-simplify]: Simplify (- 0) into 0 3.903 * [backup-simplify]: Simplify (+ 0 0) into 0 3.904 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 3.906 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.907 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 3.909 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.909 * [taylor]: Taking taylor expansion of 0 in k 3.909 * [backup-simplify]: Simplify 0 into 0 3.909 * [backup-simplify]: Simplify 0 into 0 3.909 * [backup-simplify]: Simplify 0 into 0 3.910 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 3.912 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 3.913 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 3.913 * [backup-simplify]: Simplify (+ 0 0) into 0 3.914 * [backup-simplify]: Simplify (- 0) into 0 3.914 * [backup-simplify]: Simplify (+ 0 0) into 0 3.915 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 3.921 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 3.923 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 3.926 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 3.933 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 3.933 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) 3.933 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 3.933 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.933 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.933 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.933 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.933 * [taylor]: Taking taylor expansion of 0.5 in k 3.933 * [backup-simplify]: Simplify 0.5 into 0.5 3.933 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.933 * [taylor]: Taking taylor expansion of 1.0 in k 3.933 * [backup-simplify]: Simplify 1.0 into 1.0 3.933 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.934 * [taylor]: Taking taylor expansion of k in k 3.934 * [backup-simplify]: Simplify 0 into 0 3.934 * [backup-simplify]: Simplify 1 into 1 3.934 * [backup-simplify]: Simplify (/ 1 1) into 1 3.934 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.934 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.934 * [taylor]: Taking taylor expansion of 2.0 in k 3.934 * [backup-simplify]: Simplify 2.0 into 2.0 3.934 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.934 * [taylor]: Taking taylor expansion of PI in k 3.934 * [backup-simplify]: Simplify PI into PI 3.934 * [taylor]: Taking taylor expansion of n in k 3.934 * [backup-simplify]: Simplify n into n 3.934 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.934 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 3.934 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 3.935 * [backup-simplify]: Simplify (- 1) into -1 3.935 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.935 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 3.935 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 3.935 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 3.935 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.935 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.935 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.936 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.936 * [taylor]: Taking taylor expansion of 0.5 in n 3.936 * [backup-simplify]: Simplify 0.5 into 0.5 3.936 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.936 * [taylor]: Taking taylor expansion of 1.0 in n 3.936 * [backup-simplify]: Simplify 1.0 into 1.0 3.936 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.936 * [taylor]: Taking taylor expansion of k in n 3.936 * [backup-simplify]: Simplify k into k 3.936 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.936 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.936 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.936 * [taylor]: Taking taylor expansion of 2.0 in n 3.936 * [backup-simplify]: Simplify 2.0 into 2.0 3.936 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.936 * [taylor]: Taking taylor expansion of PI in n 3.936 * [backup-simplify]: Simplify PI into PI 3.936 * [taylor]: Taking taylor expansion of n in n 3.936 * [backup-simplify]: Simplify 0 into 0 3.936 * [backup-simplify]: Simplify 1 into 1 3.936 * [backup-simplify]: Simplify (/ PI 1) into PI 3.936 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.937 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.937 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.937 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.937 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 3.938 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.939 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 3.940 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 3.940 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.940 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.940 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.940 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.940 * [taylor]: Taking taylor expansion of 0.5 in n 3.940 * [backup-simplify]: Simplify 0.5 into 0.5 3.940 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.940 * [taylor]: Taking taylor expansion of 1.0 in n 3.940 * [backup-simplify]: Simplify 1.0 into 1.0 3.940 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.940 * [taylor]: Taking taylor expansion of k in n 3.940 * [backup-simplify]: Simplify k into k 3.940 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.940 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.940 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.940 * [taylor]: Taking taylor expansion of 2.0 in n 3.940 * [backup-simplify]: Simplify 2.0 into 2.0 3.940 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.940 * [taylor]: Taking taylor expansion of PI in n 3.940 * [backup-simplify]: Simplify PI into PI 3.940 * [taylor]: Taking taylor expansion of n in n 3.940 * [backup-simplify]: Simplify 0 into 0 3.940 * [backup-simplify]: Simplify 1 into 1 3.940 * [backup-simplify]: Simplify (/ PI 1) into PI 3.941 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.941 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.941 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.942 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.942 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 3.942 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.943 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 3.944 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 3.944 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 3.944 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 3.944 * [taylor]: Taking taylor expansion of 0.5 in k 3.944 * [backup-simplify]: Simplify 0.5 into 0.5 3.944 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 3.944 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.944 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.944 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.944 * [taylor]: Taking taylor expansion of 2.0 in k 3.944 * [backup-simplify]: Simplify 2.0 into 2.0 3.944 * [taylor]: Taking taylor expansion of PI in k 3.944 * [backup-simplify]: Simplify PI into PI 3.945 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.945 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.945 * [taylor]: Taking taylor expansion of (log n) in k 3.945 * [taylor]: Taking taylor expansion of n in k 3.945 * [backup-simplify]: Simplify n into n 3.945 * [backup-simplify]: Simplify (log n) into (log n) 3.945 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.945 * [taylor]: Taking taylor expansion of 1.0 in k 3.945 * [backup-simplify]: Simplify 1.0 into 1.0 3.945 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.945 * [taylor]: Taking taylor expansion of k in k 3.945 * [backup-simplify]: Simplify 0 into 0 3.945 * [backup-simplify]: Simplify 1 into 1 3.946 * [backup-simplify]: Simplify (/ 1 1) into 1 3.946 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 3.946 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 3.947 * [backup-simplify]: Simplify (- 1) into -1 3.947 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.948 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 3.948 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 3.949 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 3.951 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 3.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.953 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 3.954 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 3.955 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.955 * [backup-simplify]: Simplify (- 0) into 0 3.955 * [backup-simplify]: Simplify (+ 0 0) into 0 3.956 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 3.957 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.958 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 3.960 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.960 * [taylor]: Taking taylor expansion of 0 in k 3.960 * [backup-simplify]: Simplify 0 into 0 3.960 * [backup-simplify]: Simplify 0 into 0 3.961 * [backup-simplify]: Simplify 0 into 0 3.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.963 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 3.966 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 3.966 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.967 * [backup-simplify]: Simplify (- 0) into 0 3.967 * [backup-simplify]: Simplify (+ 0 0) into 0 3.968 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 3.969 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.971 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 3.973 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.973 * [taylor]: Taking taylor expansion of 0 in k 3.973 * [backup-simplify]: Simplify 0 into 0 3.973 * [backup-simplify]: Simplify 0 into 0 3.973 * [backup-simplify]: Simplify 0 into 0 3.973 * [backup-simplify]: Simplify 0 into 0 3.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.975 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.981 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 3.981 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.982 * [backup-simplify]: Simplify (- 0) into 0 3.982 * [backup-simplify]: Simplify (+ 0 0) into 0 3.983 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 3.985 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.987 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 3.990 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.990 * [taylor]: Taking taylor expansion of 0 in k 3.990 * [backup-simplify]: Simplify 0 into 0 3.990 * [backup-simplify]: Simplify 0 into 0 3.991 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 3.992 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) 3.992 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 3.992 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.992 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.992 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.992 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.992 * [taylor]: Taking taylor expansion of 0.5 in k 3.992 * [backup-simplify]: Simplify 0.5 into 0.5 3.992 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.992 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.992 * [taylor]: Taking taylor expansion of k in k 3.992 * [backup-simplify]: Simplify 0 into 0 3.992 * [backup-simplify]: Simplify 1 into 1 3.993 * [backup-simplify]: Simplify (/ 1 1) into 1 3.993 * [taylor]: Taking taylor expansion of 1.0 in k 3.993 * [backup-simplify]: Simplify 1.0 into 1.0 3.993 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.993 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.993 * [taylor]: Taking taylor expansion of -2.0 in k 3.993 * [backup-simplify]: Simplify -2.0 into -2.0 3.993 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.993 * [taylor]: Taking taylor expansion of PI in k 3.993 * [backup-simplify]: Simplify PI into PI 3.993 * [taylor]: Taking taylor expansion of n in k 3.993 * [backup-simplify]: Simplify n into n 3.993 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.993 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 3.993 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 3.994 * [backup-simplify]: Simplify (+ 1 0) into 1 3.994 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.994 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 3.995 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 3.995 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.995 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.995 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.995 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.995 * [taylor]: Taking taylor expansion of 0.5 in n 3.995 * [backup-simplify]: Simplify 0.5 into 0.5 3.995 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.995 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.995 * [taylor]: Taking taylor expansion of k in n 3.995 * [backup-simplify]: Simplify k into k 3.995 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.995 * [taylor]: Taking taylor expansion of 1.0 in n 3.995 * [backup-simplify]: Simplify 1.0 into 1.0 3.995 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.995 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.995 * [taylor]: Taking taylor expansion of -2.0 in n 3.995 * [backup-simplify]: Simplify -2.0 into -2.0 3.995 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.995 * [taylor]: Taking taylor expansion of PI in n 3.995 * [backup-simplify]: Simplify PI into PI 3.995 * [taylor]: Taking taylor expansion of n in n 3.995 * [backup-simplify]: Simplify 0 into 0 3.995 * [backup-simplify]: Simplify 1 into 1 3.996 * [backup-simplify]: Simplify (/ PI 1) into PI 3.996 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.997 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.997 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.998 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 3.999 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.001 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 4.002 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.002 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.002 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.002 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.002 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.002 * [taylor]: Taking taylor expansion of 0.5 in n 4.002 * [backup-simplify]: Simplify 0.5 into 0.5 4.002 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.002 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.002 * [taylor]: Taking taylor expansion of k in n 4.002 * [backup-simplify]: Simplify k into k 4.002 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.002 * [taylor]: Taking taylor expansion of 1.0 in n 4.002 * [backup-simplify]: Simplify 1.0 into 1.0 4.002 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.002 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.002 * [taylor]: Taking taylor expansion of -2.0 in n 4.003 * [backup-simplify]: Simplify -2.0 into -2.0 4.003 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.003 * [taylor]: Taking taylor expansion of PI in n 4.003 * [backup-simplify]: Simplify PI into PI 4.003 * [taylor]: Taking taylor expansion of n in n 4.003 * [backup-simplify]: Simplify 0 into 0 4.003 * [backup-simplify]: Simplify 1 into 1 4.003 * [backup-simplify]: Simplify (/ PI 1) into PI 4.004 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.005 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.005 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.005 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.006 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.008 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 4.009 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.009 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.009 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.009 * [taylor]: Taking taylor expansion of 0.5 in k 4.009 * [backup-simplify]: Simplify 0.5 into 0.5 4.009 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.009 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.009 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.009 * [taylor]: Taking taylor expansion of k in k 4.009 * [backup-simplify]: Simplify 0 into 0 4.009 * [backup-simplify]: Simplify 1 into 1 4.010 * [backup-simplify]: Simplify (/ 1 1) into 1 4.010 * [taylor]: Taking taylor expansion of 1.0 in k 4.010 * [backup-simplify]: Simplify 1.0 into 1.0 4.010 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.010 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.010 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.010 * [taylor]: Taking taylor expansion of -2.0 in k 4.010 * [backup-simplify]: Simplify -2.0 into -2.0 4.010 * [taylor]: Taking taylor expansion of PI in k 4.010 * [backup-simplify]: Simplify PI into PI 4.011 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.012 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.012 * [taylor]: Taking taylor expansion of (log n) in k 4.012 * [taylor]: Taking taylor expansion of n in k 4.012 * [backup-simplify]: Simplify n into n 4.012 * [backup-simplify]: Simplify (log n) into (log n) 4.012 * [backup-simplify]: Simplify (+ 1 0) into 1 4.012 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.013 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 4.015 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 4.016 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 4.017 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.018 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.020 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.022 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 4.022 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.022 * [backup-simplify]: Simplify (+ 0 0) into 0 4.023 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 4.024 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.026 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 4.028 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.028 * [taylor]: Taking taylor expansion of 0 in k 4.028 * [backup-simplify]: Simplify 0 into 0 4.028 * [backup-simplify]: Simplify 0 into 0 4.028 * [backup-simplify]: Simplify 0 into 0 4.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.030 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.034 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 4.034 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.035 * [backup-simplify]: Simplify (+ 0 0) into 0 4.036 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 4.037 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.039 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 4.042 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.042 * [taylor]: Taking taylor expansion of 0 in k 4.042 * [backup-simplify]: Simplify 0 into 0 4.042 * [backup-simplify]: Simplify 0 into 0 4.042 * [backup-simplify]: Simplify 0 into 0 4.042 * [backup-simplify]: Simplify 0 into 0 4.043 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.044 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.054 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 4.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.056 * [backup-simplify]: Simplify (+ 0 0) into 0 4.057 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 4.058 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.060 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 4.063 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.063 * [taylor]: Taking taylor expansion of 0 in k 4.063 * [backup-simplify]: Simplify 0 into 0 4.063 * [backup-simplify]: Simplify 0 into 0 4.065 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 4.065 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 4.065 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 4.065 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 4.065 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.065 * [taylor]: Taking taylor expansion of 1.0 in k 4.065 * [backup-simplify]: Simplify 1.0 into 1.0 4.065 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.065 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.065 * [taylor]: Taking taylor expansion of k in k 4.065 * [backup-simplify]: Simplify 0 into 0 4.065 * [backup-simplify]: Simplify 1 into 1 4.066 * [backup-simplify]: Simplify (/ 1 1) into 1 4.066 * [backup-simplify]: Simplify (sqrt 0) into 0 4.068 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.068 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.068 * [taylor]: Taking taylor expansion of 1.0 in k 4.068 * [backup-simplify]: Simplify 1.0 into 1.0 4.068 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.068 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.068 * [taylor]: Taking taylor expansion of k in k 4.068 * [backup-simplify]: Simplify 0 into 0 4.068 * [backup-simplify]: Simplify 1 into 1 4.068 * [backup-simplify]: Simplify (/ 1 1) into 1 4.069 * [backup-simplify]: Simplify (sqrt 0) into 0 4.069 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.070 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.070 * [backup-simplify]: Simplify 0 into 0 4.071 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 4.071 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.073 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.074 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.075 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.077 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.079 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.079 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.080 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 4.080 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 4.080 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 4.080 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.080 * [taylor]: Taking taylor expansion of 1.0 in k 4.080 * [backup-simplify]: Simplify 1.0 into 1.0 4.080 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.080 * [taylor]: Taking taylor expansion of k in k 4.080 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify 1 into 1 4.080 * [backup-simplify]: Simplify (sqrt 0) into 0 4.081 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.081 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.081 * [taylor]: Taking taylor expansion of 1.0 in k 4.081 * [backup-simplify]: Simplify 1.0 into 1.0 4.081 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.081 * [taylor]: Taking taylor expansion of k in k 4.081 * [backup-simplify]: Simplify 0 into 0 4.081 * [backup-simplify]: Simplify 1 into 1 4.082 * [backup-simplify]: Simplify (sqrt 0) into 0 4.082 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.083 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.083 * [backup-simplify]: Simplify 0 into 0 4.084 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 4.084 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.086 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.087 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.087 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.089 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.090 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.091 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.092 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 4.092 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 4.092 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 4.092 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.092 * [taylor]: Taking taylor expansion of 1.0 in k 4.092 * [backup-simplify]: Simplify 1.0 into 1.0 4.092 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.092 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.092 * [taylor]: Taking taylor expansion of -1 in k 4.092 * [backup-simplify]: Simplify -1 into -1 4.092 * [taylor]: Taking taylor expansion of k in k 4.092 * [backup-simplify]: Simplify 0 into 0 4.092 * [backup-simplify]: Simplify 1 into 1 4.092 * [backup-simplify]: Simplify (/ -1 1) into -1 4.093 * [backup-simplify]: Simplify (sqrt 0) into 0 4.093 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.094 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 4.094 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.094 * [taylor]: Taking taylor expansion of 1.0 in k 4.094 * [backup-simplify]: Simplify 1.0 into 1.0 4.094 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.094 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.094 * [taylor]: Taking taylor expansion of -1 in k 4.094 * [backup-simplify]: Simplify -1 into -1 4.094 * [taylor]: Taking taylor expansion of k in k 4.094 * [backup-simplify]: Simplify 0 into 0 4.094 * [backup-simplify]: Simplify 1 into 1 4.094 * [backup-simplify]: Simplify (/ -1 1) into -1 4.094 * [backup-simplify]: Simplify (sqrt 0) into 0 4.095 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.096 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 4.096 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.099 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.102 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 4.102 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.107 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.111 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 4.112 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.113 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 4.113 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 4.113 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 4.113 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.114 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.114 * [taylor]: Taking taylor expansion of 2.0 in n 4.114 * [backup-simplify]: Simplify 2.0 into 2.0 4.114 * [taylor]: Taking taylor expansion of (* n PI) in n 4.114 * [taylor]: Taking taylor expansion of n in n 4.114 * [backup-simplify]: Simplify 0 into 0 4.114 * [backup-simplify]: Simplify 1 into 1 4.114 * [taylor]: Taking taylor expansion of PI in n 4.114 * [backup-simplify]: Simplify PI into PI 4.114 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.114 * [taylor]: Taking taylor expansion of 2.0 in n 4.114 * [backup-simplify]: Simplify 2.0 into 2.0 4.114 * [taylor]: Taking taylor expansion of (* n PI) in n 4.114 * [taylor]: Taking taylor expansion of n in n 4.114 * [backup-simplify]: Simplify 0 into 0 4.114 * [backup-simplify]: Simplify 1 into 1 4.114 * [taylor]: Taking taylor expansion of PI in n 4.114 * [backup-simplify]: Simplify PI into PI 4.115 * [backup-simplify]: Simplify (* 0 PI) into 0 4.115 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.115 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.118 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.119 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.120 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 4.121 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 4.121 * [backup-simplify]: Simplify 0 into 0 4.122 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 4.124 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 4.124 * [backup-simplify]: Simplify 0 into 0 4.125 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.127 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 4.127 * [backup-simplify]: Simplify 0 into 0 4.128 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.130 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 4.130 * [backup-simplify]: Simplify 0 into 0 4.131 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.133 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 4.133 * [backup-simplify]: Simplify 0 into 0 4.135 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 4.137 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 4.137 * [backup-simplify]: Simplify 0 into 0 4.137 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 4.138 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 4.138 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.138 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.138 * [taylor]: Taking taylor expansion of 2.0 in n 4.138 * [backup-simplify]: Simplify 2.0 into 2.0 4.138 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.138 * [taylor]: Taking taylor expansion of PI in n 4.138 * [backup-simplify]: Simplify PI into PI 4.138 * [taylor]: Taking taylor expansion of n in n 4.138 * [backup-simplify]: Simplify 0 into 0 4.138 * [backup-simplify]: Simplify 1 into 1 4.139 * [backup-simplify]: Simplify (/ PI 1) into PI 4.139 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.139 * [taylor]: Taking taylor expansion of 2.0 in n 4.139 * [backup-simplify]: Simplify 2.0 into 2.0 4.139 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.139 * [taylor]: Taking taylor expansion of PI in n 4.139 * [backup-simplify]: Simplify PI into PI 4.139 * [taylor]: Taking taylor expansion of n in n 4.139 * [backup-simplify]: Simplify 0 into 0 4.139 * [backup-simplify]: Simplify 1 into 1 4.140 * [backup-simplify]: Simplify (/ PI 1) into PI 4.140 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.141 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.142 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.142 * [backup-simplify]: Simplify 0 into 0 4.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.144 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.144 * [backup-simplify]: Simplify 0 into 0 4.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.146 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.146 * [backup-simplify]: Simplify 0 into 0 4.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.149 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.149 * [backup-simplify]: Simplify 0 into 0 4.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.151 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.151 * [backup-simplify]: Simplify 0 into 0 4.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.154 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.154 * [backup-simplify]: Simplify 0 into 0 4.154 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 4.155 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 4.155 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.155 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.155 * [taylor]: Taking taylor expansion of -2.0 in n 4.155 * [backup-simplify]: Simplify -2.0 into -2.0 4.155 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.155 * [taylor]: Taking taylor expansion of PI in n 4.155 * [backup-simplify]: Simplify PI into PI 4.155 * [taylor]: Taking taylor expansion of n in n 4.155 * [backup-simplify]: Simplify 0 into 0 4.155 * [backup-simplify]: Simplify 1 into 1 4.156 * [backup-simplify]: Simplify (/ PI 1) into PI 4.156 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.156 * [taylor]: Taking taylor expansion of -2.0 in n 4.156 * [backup-simplify]: Simplify -2.0 into -2.0 4.156 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.156 * [taylor]: Taking taylor expansion of PI in n 4.156 * [backup-simplify]: Simplify PI into PI 4.156 * [taylor]: Taking taylor expansion of n in n 4.156 * [backup-simplify]: Simplify 0 into 0 4.156 * [backup-simplify]: Simplify 1 into 1 4.156 * [backup-simplify]: Simplify (/ PI 1) into PI 4.157 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.157 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.159 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.159 * [backup-simplify]: Simplify 0 into 0 4.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.161 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.161 * [backup-simplify]: Simplify 0 into 0 4.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.163 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.163 * [backup-simplify]: Simplify 0 into 0 4.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.165 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.165 * [backup-simplify]: Simplify 0 into 0 4.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.167 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.167 * [backup-simplify]: Simplify 0 into 0 4.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.170 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.170 * [backup-simplify]: Simplify 0 into 0 4.171 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 4.171 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.171 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) 4.172 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 4.172 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 4.172 * [taylor]: Taking taylor expansion of 1.0 in n 4.172 * [backup-simplify]: Simplify 1.0 into 1.0 4.172 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 4.172 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.172 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.172 * [taylor]: Taking taylor expansion of k in n 4.172 * [backup-simplify]: Simplify k into k 4.172 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.172 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 4.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 4.172 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.172 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.172 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.172 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.172 * [taylor]: Taking taylor expansion of 0.5 in n 4.172 * [backup-simplify]: Simplify 0.5 into 0.5 4.172 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.172 * [taylor]: Taking taylor expansion of 1.0 in n 4.172 * [backup-simplify]: Simplify 1.0 into 1.0 4.172 * [taylor]: Taking taylor expansion of k in n 4.172 * [backup-simplify]: Simplify k into k 4.172 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.173 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.173 * [taylor]: Taking taylor expansion of 2.0 in n 4.173 * [backup-simplify]: Simplify 2.0 into 2.0 4.173 * [taylor]: Taking taylor expansion of (* n PI) in n 4.173 * [taylor]: Taking taylor expansion of n in n 4.173 * [backup-simplify]: Simplify 0 into 0 4.173 * [backup-simplify]: Simplify 1 into 1 4.173 * [taylor]: Taking taylor expansion of PI in n 4.173 * [backup-simplify]: Simplify PI into PI 4.173 * [backup-simplify]: Simplify (* 0 PI) into 0 4.174 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.175 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.176 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.183 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.183 * [backup-simplify]: Simplify (- k) into (- k) 4.183 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.183 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.185 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.186 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 4.187 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 4.187 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 4.187 * [taylor]: Taking taylor expansion of 1.0 in k 4.187 * [backup-simplify]: Simplify 1.0 into 1.0 4.187 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.187 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.187 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.187 * [taylor]: Taking taylor expansion of k in k 4.187 * [backup-simplify]: Simplify 0 into 0 4.187 * [backup-simplify]: Simplify 1 into 1 4.188 * [backup-simplify]: Simplify (/ 1 1) into 1 4.188 * [backup-simplify]: Simplify (sqrt 0) into 0 4.190 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.190 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.190 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.190 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.190 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.190 * [taylor]: Taking taylor expansion of 0.5 in k 4.190 * [backup-simplify]: Simplify 0.5 into 0.5 4.190 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.190 * [taylor]: Taking taylor expansion of 1.0 in k 4.190 * [backup-simplify]: Simplify 1.0 into 1.0 4.190 * [taylor]: Taking taylor expansion of k in k 4.190 * [backup-simplify]: Simplify 0 into 0 4.190 * [backup-simplify]: Simplify 1 into 1 4.190 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.190 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.190 * [taylor]: Taking taylor expansion of 2.0 in k 4.190 * [backup-simplify]: Simplify 2.0 into 2.0 4.190 * [taylor]: Taking taylor expansion of (* n PI) in k 4.190 * [taylor]: Taking taylor expansion of n in k 4.190 * [backup-simplify]: Simplify n into n 4.190 * [taylor]: Taking taylor expansion of PI in k 4.190 * [backup-simplify]: Simplify PI into PI 4.190 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.190 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.190 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.191 * [backup-simplify]: Simplify (- 0) into 0 4.191 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.192 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.192 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.192 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.192 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 4.192 * [taylor]: Taking taylor expansion of 1.0 in k 4.192 * [backup-simplify]: Simplify 1.0 into 1.0 4.192 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.192 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.192 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.192 * [taylor]: Taking taylor expansion of k in k 4.193 * [backup-simplify]: Simplify 0 into 0 4.193 * [backup-simplify]: Simplify 1 into 1 4.193 * [backup-simplify]: Simplify (/ 1 1) into 1 4.193 * [backup-simplify]: Simplify (sqrt 0) into 0 4.195 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.195 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.195 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.195 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.195 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.195 * [taylor]: Taking taylor expansion of 0.5 in k 4.195 * [backup-simplify]: Simplify 0.5 into 0.5 4.195 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.195 * [taylor]: Taking taylor expansion of 1.0 in k 4.195 * [backup-simplify]: Simplify 1.0 into 1.0 4.195 * [taylor]: Taking taylor expansion of k in k 4.195 * [backup-simplify]: Simplify 0 into 0 4.195 * [backup-simplify]: Simplify 1 into 1 4.195 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.195 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.195 * [taylor]: Taking taylor expansion of 2.0 in k 4.195 * [backup-simplify]: Simplify 2.0 into 2.0 4.195 * [taylor]: Taking taylor expansion of (* n PI) in k 4.195 * [taylor]: Taking taylor expansion of n in k 4.195 * [backup-simplify]: Simplify n into n 4.195 * [taylor]: Taking taylor expansion of PI in k 4.195 * [backup-simplify]: Simplify PI into PI 4.195 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.195 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.196 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.196 * [backup-simplify]: Simplify (- 0) into 0 4.197 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.197 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.197 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.197 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.198 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 (* n PI)) 0.5)) into 0 4.198 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.198 * [taylor]: Taking taylor expansion of 0 in n 4.198 * [backup-simplify]: Simplify 0 into 0 4.198 * [backup-simplify]: Simplify 0 into 0 4.199 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 4.199 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 4.200 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 4.201 * [backup-simplify]: Simplify (- 1) into -1 4.201 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.203 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 4.204 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 4.204 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1)))) into (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.206 * [backup-simplify]: Simplify (+ (* 0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 4.208 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.208 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 4.208 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.208 * [taylor]: Taking taylor expansion of +nan.0 in n 4.208 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.208 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.208 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.208 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.208 * [taylor]: Taking taylor expansion of 0.5 in n 4.208 * [backup-simplify]: Simplify 0.5 into 0.5 4.208 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.208 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.208 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.208 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.208 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.208 * [taylor]: Taking taylor expansion of 1.0 in n 4.209 * [backup-simplify]: Simplify 1.0 into 1.0 4.209 * [taylor]: Taking taylor expansion of (log PI) in n 4.209 * [taylor]: Taking taylor expansion of PI in n 4.209 * [backup-simplify]: Simplify PI into PI 4.209 * [backup-simplify]: Simplify (log PI) into (log PI) 4.210 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.211 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.211 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.211 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.211 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.211 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.212 * [taylor]: Taking taylor expansion of 1.0 in n 4.212 * [backup-simplify]: Simplify 1.0 into 1.0 4.212 * [taylor]: Taking taylor expansion of (log n) in n 4.212 * [taylor]: Taking taylor expansion of n in n 4.212 * [backup-simplify]: Simplify 0 into 0 4.212 * [backup-simplify]: Simplify 1 into 1 4.212 * [backup-simplify]: Simplify (log 1) into 0 4.213 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.213 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.213 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.213 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.213 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.213 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.213 * [taylor]: Taking taylor expansion of 1.0 in n 4.213 * [backup-simplify]: Simplify 1.0 into 1.0 4.213 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.213 * [taylor]: Taking taylor expansion of 2.0 in n 4.213 * [backup-simplify]: Simplify 2.0 into 2.0 4.213 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.214 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.216 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.216 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 4.217 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 4.218 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 4.219 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 4.220 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.221 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 4.222 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 4.222 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.222 * [backup-simplify]: Simplify 0 into 0 4.223 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 4.223 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 4.225 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 2) into 0 4.225 * [backup-simplify]: Simplify (- 0) into 0 4.225 * [backup-simplify]: Simplify (+ 0 0) into 0 4.226 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 4.227 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 4.227 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.230 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.232 * [backup-simplify]: Simplify (+ (* 0 (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5)))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) 4.235 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) 4.235 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 4.235 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 4.235 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.235 * [taylor]: Taking taylor expansion of +nan.0 in n 4.235 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.235 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.235 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.235 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.235 * [taylor]: Taking taylor expansion of 0.5 in n 4.235 * [backup-simplify]: Simplify 0.5 into 0.5 4.235 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.235 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.235 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.235 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.235 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.235 * [taylor]: Taking taylor expansion of 1.0 in n 4.235 * [backup-simplify]: Simplify 1.0 into 1.0 4.235 * [taylor]: Taking taylor expansion of (log PI) in n 4.235 * [taylor]: Taking taylor expansion of PI in n 4.235 * [backup-simplify]: Simplify PI into PI 4.236 * [backup-simplify]: Simplify (log PI) into (log PI) 4.236 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.237 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.237 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.237 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.237 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.237 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.237 * [taylor]: Taking taylor expansion of 1.0 in n 4.237 * [backup-simplify]: Simplify 1.0 into 1.0 4.237 * [taylor]: Taking taylor expansion of (log n) in n 4.237 * [taylor]: Taking taylor expansion of n in n 4.237 * [backup-simplify]: Simplify 0 into 0 4.237 * [backup-simplify]: Simplify 1 into 1 4.238 * [backup-simplify]: Simplify (log 1) into 0 4.238 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.238 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.238 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.238 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.238 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.238 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.238 * [taylor]: Taking taylor expansion of 1.0 in n 4.238 * [backup-simplify]: Simplify 1.0 into 1.0 4.238 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.238 * [taylor]: Taking taylor expansion of 2.0 in n 4.238 * [backup-simplify]: Simplify 2.0 into 2.0 4.238 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.239 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.240 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.240 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 4.241 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 4.242 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 4.243 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 4.244 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.244 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 4.244 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 4.244 * [taylor]: Taking taylor expansion of +nan.0 in n 4.244 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.244 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 4.244 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.244 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.244 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.244 * [taylor]: Taking taylor expansion of 0.5 in n 4.244 * [backup-simplify]: Simplify 0.5 into 0.5 4.244 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.244 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.244 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.244 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.244 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.244 * [taylor]: Taking taylor expansion of 1.0 in n 4.244 * [backup-simplify]: Simplify 1.0 into 1.0 4.244 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.244 * [taylor]: Taking taylor expansion of 2.0 in n 4.244 * [backup-simplify]: Simplify 2.0 into 2.0 4.244 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.245 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.246 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.246 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.246 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.246 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.246 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.246 * [taylor]: Taking taylor expansion of 1.0 in n 4.246 * [backup-simplify]: Simplify 1.0 into 1.0 4.246 * [taylor]: Taking taylor expansion of (log PI) in n 4.246 * [taylor]: Taking taylor expansion of PI in n 4.246 * [backup-simplify]: Simplify PI into PI 4.246 * [backup-simplify]: Simplify (log PI) into (log PI) 4.247 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.248 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.248 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.248 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.248 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.248 * [taylor]: Taking taylor expansion of 1.0 in n 4.248 * [backup-simplify]: Simplify 1.0 into 1.0 4.248 * [taylor]: Taking taylor expansion of (log n) in n 4.248 * [taylor]: Taking taylor expansion of n in n 4.248 * [backup-simplify]: Simplify 0 into 0 4.248 * [backup-simplify]: Simplify 1 into 1 4.249 * [backup-simplify]: Simplify (log 1) into 0 4.249 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.249 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.249 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.250 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.251 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 4.252 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 4.254 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 4.255 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.255 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.255 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.256 * [taylor]: Taking taylor expansion of 2.0 in n 4.256 * [backup-simplify]: Simplify 2.0 into 2.0 4.256 * [taylor]: Taking taylor expansion of (* n PI) in n 4.256 * [taylor]: Taking taylor expansion of n in n 4.256 * [backup-simplify]: Simplify 0 into 0 4.256 * [backup-simplify]: Simplify 1 into 1 4.256 * [taylor]: Taking taylor expansion of PI in n 4.256 * [backup-simplify]: Simplify PI into PI 4.257 * [backup-simplify]: Simplify (* 0 PI) into 0 4.257 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.258 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.260 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.261 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.262 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 4.264 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.267 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 4.269 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.272 * [backup-simplify]: Simplify (- (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) 4.278 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 4.284 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 4.290 * [backup-simplify]: Simplify (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 4.292 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 4.293 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 4.295 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 4.296 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.297 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.297 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 4.298 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 4.299 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 4.300 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 4.301 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 4.302 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 4.303 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 4.304 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1)))) 1) into 0 4.306 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)))) into 0 4.307 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.308 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5))) into 0 4.309 * [backup-simplify]: Simplify (- 0) into 0 4.309 * [backup-simplify]: Simplify 0 into 0 4.309 * [backup-simplify]: Simplify 0 into 0 4.309 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.315 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 4.317 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 6) into 0 4.317 * [backup-simplify]: Simplify (- 0) into 0 4.317 * [backup-simplify]: Simplify (+ 0 0) into 0 4.318 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 4.319 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 4.320 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.323 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.326 * [backup-simplify]: Simplify (+ (* 0 (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 4.333 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))))) (+ (* 0 (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 4.333 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 4.333 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 4.333 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 4.333 * [taylor]: Taking taylor expansion of +nan.0 in n 4.333 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.333 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.333 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.333 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.333 * [taylor]: Taking taylor expansion of 0.5 in n 4.333 * [backup-simplify]: Simplify 0.5 into 0.5 4.333 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.333 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.334 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.334 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.334 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.334 * [taylor]: Taking taylor expansion of 1.0 in n 4.334 * [backup-simplify]: Simplify 1.0 into 1.0 4.334 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.334 * [taylor]: Taking taylor expansion of 2.0 in n 4.334 * [backup-simplify]: Simplify 2.0 into 2.0 4.334 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.335 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.336 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.336 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.336 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.336 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.336 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.336 * [taylor]: Taking taylor expansion of 1.0 in n 4.336 * [backup-simplify]: Simplify 1.0 into 1.0 4.337 * [taylor]: Taking taylor expansion of (log n) in n 4.337 * [taylor]: Taking taylor expansion of n in n 4.337 * [backup-simplify]: Simplify 0 into 0 4.337 * [backup-simplify]: Simplify 1 into 1 4.337 * [backup-simplify]: Simplify (log 1) into 0 4.337 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.337 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.338 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.338 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.338 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.338 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.338 * [taylor]: Taking taylor expansion of 1.0 in n 4.338 * [backup-simplify]: Simplify 1.0 into 1.0 4.338 * [taylor]: Taking taylor expansion of (log PI) in n 4.338 * [taylor]: Taking taylor expansion of PI in n 4.338 * [backup-simplify]: Simplify PI into PI 4.338 * [backup-simplify]: Simplify (log PI) into (log PI) 4.339 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.341 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.341 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.342 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 4.343 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 4.345 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 4.346 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.346 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 4.346 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 4.346 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 4.346 * [taylor]: Taking taylor expansion of +nan.0 in n 4.346 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.346 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 4.346 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.346 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.346 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.346 * [taylor]: Taking taylor expansion of 0.5 in n 4.346 * [backup-simplify]: Simplify 0.5 into 0.5 4.346 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.346 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.346 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.347 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.347 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.347 * [taylor]: Taking taylor expansion of 1.0 in n 4.347 * [backup-simplify]: Simplify 1.0 into 1.0 4.347 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.347 * [taylor]: Taking taylor expansion of 2.0 in n 4.347 * [backup-simplify]: Simplify 2.0 into 2.0 4.347 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.348 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.349 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.349 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.349 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.349 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.349 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.349 * [taylor]: Taking taylor expansion of 1.0 in n 4.349 * [backup-simplify]: Simplify 1.0 into 1.0 4.349 * [taylor]: Taking taylor expansion of (log PI) in n 4.349 * [taylor]: Taking taylor expansion of PI in n 4.349 * [backup-simplify]: Simplify PI into PI 4.350 * [backup-simplify]: Simplify (log PI) into (log PI) 4.351 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.352 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.352 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.352 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.352 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.352 * [taylor]: Taking taylor expansion of 1.0 in n 4.352 * [backup-simplify]: Simplify 1.0 into 1.0 4.352 * [taylor]: Taking taylor expansion of (log n) in n 4.352 * [taylor]: Taking taylor expansion of n in n 4.352 * [backup-simplify]: Simplify 0 into 0 4.352 * [backup-simplify]: Simplify 1 into 1 4.353 * [backup-simplify]: Simplify (log 1) into 0 4.353 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.353 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.353 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.354 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.355 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 4.356 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 4.358 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 4.359 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.359 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.359 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.359 * [taylor]: Taking taylor expansion of 2.0 in n 4.359 * [backup-simplify]: Simplify 2.0 into 2.0 4.359 * [taylor]: Taking taylor expansion of (* n PI) in n 4.359 * [taylor]: Taking taylor expansion of n in n 4.359 * [backup-simplify]: Simplify 0 into 0 4.359 * [backup-simplify]: Simplify 1 into 1 4.359 * [taylor]: Taking taylor expansion of PI in n 4.359 * [backup-simplify]: Simplify PI into PI 4.360 * [backup-simplify]: Simplify (* 0 PI) into 0 4.360 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.361 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.362 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.363 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.363 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 4.363 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 4.363 * [taylor]: Taking taylor expansion of +nan.0 in n 4.363 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.363 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 4.363 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.363 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.363 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.363 * [taylor]: Taking taylor expansion of 0.5 in n 4.363 * [backup-simplify]: Simplify 0.5 into 0.5 4.363 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.363 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.363 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.363 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.363 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.363 * [taylor]: Taking taylor expansion of 1.0 in n 4.363 * [backup-simplify]: Simplify 1.0 into 1.0 4.363 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.363 * [taylor]: Taking taylor expansion of 2.0 in n 4.363 * [backup-simplify]: Simplify 2.0 into 2.0 4.363 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.364 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.365 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.365 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.365 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.365 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.365 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.365 * [taylor]: Taking taylor expansion of 1.0 in n 4.365 * [backup-simplify]: Simplify 1.0 into 1.0 4.365 * [taylor]: Taking taylor expansion of (log PI) in n 4.365 * [taylor]: Taking taylor expansion of PI in n 4.365 * [backup-simplify]: Simplify PI into PI 4.365 * [backup-simplify]: Simplify (log PI) into (log PI) 4.366 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.367 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.367 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.367 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.367 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.367 * [taylor]: Taking taylor expansion of 1.0 in n 4.367 * [backup-simplify]: Simplify 1.0 into 1.0 4.367 * [taylor]: Taking taylor expansion of (log n) in n 4.367 * [taylor]: Taking taylor expansion of n in n 4.367 * [backup-simplify]: Simplify 0 into 0 4.367 * [backup-simplify]: Simplify 1 into 1 4.367 * [backup-simplify]: Simplify (log 1) into 0 4.367 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.368 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.368 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.368 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.369 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 4.370 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 4.370 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 4.371 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.371 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 4.371 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.371 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.372 * [taylor]: Taking taylor expansion of 2.0 in n 4.372 * [backup-simplify]: Simplify 2.0 into 2.0 4.372 * [taylor]: Taking taylor expansion of (* n PI) in n 4.372 * [taylor]: Taking taylor expansion of n in n 4.372 * [backup-simplify]: Simplify 0 into 0 4.372 * [backup-simplify]: Simplify 1 into 1 4.372 * [taylor]: Taking taylor expansion of PI in n 4.372 * [backup-simplify]: Simplify PI into PI 4.372 * [backup-simplify]: Simplify (* 0 PI) into 0 4.372 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.373 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.374 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.375 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.376 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.377 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 4.377 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.379 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 4.380 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.381 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.382 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.384 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 4.385 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)) into (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 4.387 * [backup-simplify]: Simplify (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.388 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 4.397 * [backup-simplify]: Simplify (+ (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))) 4.410 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))) 4.419 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 4.433 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 4.445 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 4.472 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) (pow (* 1 k) 2)) (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) (* 1 k)) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) 4.473 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) 4.473 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 4.473 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 4.473 * [taylor]: Taking taylor expansion of 1.0 in n 4.473 * [backup-simplify]: Simplify 1.0 into 1.0 4.473 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 4.474 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.474 * [taylor]: Taking taylor expansion of k in n 4.474 * [backup-simplify]: Simplify k into k 4.474 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 4.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 4.474 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.474 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.474 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.474 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.474 * [taylor]: Taking taylor expansion of 0.5 in n 4.474 * [backup-simplify]: Simplify 0.5 into 0.5 4.474 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.474 * [taylor]: Taking taylor expansion of 1.0 in n 4.474 * [backup-simplify]: Simplify 1.0 into 1.0 4.474 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.474 * [taylor]: Taking taylor expansion of k in n 4.474 * [backup-simplify]: Simplify k into k 4.474 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.474 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.474 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.474 * [taylor]: Taking taylor expansion of 2.0 in n 4.474 * [backup-simplify]: Simplify 2.0 into 2.0 4.474 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.474 * [taylor]: Taking taylor expansion of PI in n 4.474 * [backup-simplify]: Simplify PI into PI 4.474 * [taylor]: Taking taylor expansion of n in n 4.474 * [backup-simplify]: Simplify 0 into 0 4.475 * [backup-simplify]: Simplify 1 into 1 4.475 * [backup-simplify]: Simplify (/ PI 1) into PI 4.476 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.477 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.477 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.477 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.477 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.479 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.480 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 4.482 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.482 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.482 * [taylor]: Taking taylor expansion of 1.0 in k 4.482 * [backup-simplify]: Simplify 1.0 into 1.0 4.482 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.482 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.482 * [taylor]: Taking taylor expansion of k in k 4.482 * [backup-simplify]: Simplify 0 into 0 4.482 * [backup-simplify]: Simplify 1 into 1 4.482 * [backup-simplify]: Simplify (sqrt 0) into 0 4.484 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.484 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.484 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.484 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.484 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.484 * [taylor]: Taking taylor expansion of 0.5 in k 4.484 * [backup-simplify]: Simplify 0.5 into 0.5 4.484 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.484 * [taylor]: Taking taylor expansion of 1.0 in k 4.484 * [backup-simplify]: Simplify 1.0 into 1.0 4.484 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.484 * [taylor]: Taking taylor expansion of k in k 4.484 * [backup-simplify]: Simplify 0 into 0 4.484 * [backup-simplify]: Simplify 1 into 1 4.485 * [backup-simplify]: Simplify (/ 1 1) into 1 4.485 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.485 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.485 * [taylor]: Taking taylor expansion of 2.0 in k 4.485 * [backup-simplify]: Simplify 2.0 into 2.0 4.485 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.485 * [taylor]: Taking taylor expansion of PI in k 4.485 * [backup-simplify]: Simplify PI into PI 4.485 * [taylor]: Taking taylor expansion of n in k 4.485 * [backup-simplify]: Simplify n into n 4.485 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.485 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 4.485 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 4.486 * [backup-simplify]: Simplify (- 1) into -1 4.486 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.487 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.487 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 4.487 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 4.487 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.487 * [taylor]: Taking taylor expansion of 1.0 in k 4.487 * [backup-simplify]: Simplify 1.0 into 1.0 4.487 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.487 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.487 * [taylor]: Taking taylor expansion of k in k 4.487 * [backup-simplify]: Simplify 0 into 0 4.487 * [backup-simplify]: Simplify 1 into 1 4.488 * [backup-simplify]: Simplify (sqrt 0) into 0 4.489 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.489 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.489 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.489 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.489 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.489 * [taylor]: Taking taylor expansion of 0.5 in k 4.489 * [backup-simplify]: Simplify 0.5 into 0.5 4.489 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.489 * [taylor]: Taking taylor expansion of 1.0 in k 4.489 * [backup-simplify]: Simplify 1.0 into 1.0 4.489 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.489 * [taylor]: Taking taylor expansion of k in k 4.489 * [backup-simplify]: Simplify 0 into 0 4.489 * [backup-simplify]: Simplify 1 into 1 4.490 * [backup-simplify]: Simplify (/ 1 1) into 1 4.490 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.490 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.490 * [taylor]: Taking taylor expansion of 2.0 in k 4.490 * [backup-simplify]: Simplify 2.0 into 2.0 4.490 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.490 * [taylor]: Taking taylor expansion of PI in k 4.490 * [backup-simplify]: Simplify PI into PI 4.490 * [taylor]: Taking taylor expansion of n in k 4.490 * [backup-simplify]: Simplify n into n 4.490 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.490 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 4.490 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 4.491 * [backup-simplify]: Simplify (- 1) into -1 4.491 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.492 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.492 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 4.492 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 4.493 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into 0 4.493 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.493 * [taylor]: Taking taylor expansion of 0 in n 4.493 * [backup-simplify]: Simplify 0 into 0 4.493 * [backup-simplify]: Simplify 0 into 0 4.494 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 4.495 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 4.495 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.495 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.495 * [taylor]: Taking taylor expansion of +nan.0 in n 4.495 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.495 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.495 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.495 * [taylor]: Taking taylor expansion of 0.5 in n 4.495 * [backup-simplify]: Simplify 0.5 into 0.5 4.495 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.495 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.495 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.495 * [taylor]: Taking taylor expansion of 2.0 in n 4.495 * [backup-simplify]: Simplify 2.0 into 2.0 4.495 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.495 * [taylor]: Taking taylor expansion of PI in n 4.495 * [backup-simplify]: Simplify PI into PI 4.495 * [taylor]: Taking taylor expansion of n in n 4.495 * [backup-simplify]: Simplify 0 into 0 4.495 * [backup-simplify]: Simplify 1 into 1 4.496 * [backup-simplify]: Simplify (/ PI 1) into PI 4.496 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.497 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.497 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.497 * [taylor]: Taking taylor expansion of 1.0 in n 4.497 * [backup-simplify]: Simplify 1.0 into 1.0 4.497 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.497 * [taylor]: Taking taylor expansion of k in n 4.497 * [backup-simplify]: Simplify k into k 4.497 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.498 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.498 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.498 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.499 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 4.500 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 4.500 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.501 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 4.502 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 4.503 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 4.503 * [backup-simplify]: Simplify 0 into 0 4.505 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.505 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 4.506 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 4.506 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.506 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.506 * [taylor]: Taking taylor expansion of +nan.0 in n 4.506 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.506 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.506 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.506 * [taylor]: Taking taylor expansion of 0.5 in n 4.506 * [backup-simplify]: Simplify 0.5 into 0.5 4.506 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.506 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.506 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.506 * [taylor]: Taking taylor expansion of 2.0 in n 4.506 * [backup-simplify]: Simplify 2.0 into 2.0 4.506 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.506 * [taylor]: Taking taylor expansion of PI in n 4.506 * [backup-simplify]: Simplify PI into PI 4.506 * [taylor]: Taking taylor expansion of n in n 4.506 * [backup-simplify]: Simplify 0 into 0 4.506 * [backup-simplify]: Simplify 1 into 1 4.507 * [backup-simplify]: Simplify (/ PI 1) into PI 4.507 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.508 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.508 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.508 * [taylor]: Taking taylor expansion of 1.0 in n 4.508 * [backup-simplify]: Simplify 1.0 into 1.0 4.508 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.508 * [taylor]: Taking taylor expansion of k in n 4.508 * [backup-simplify]: Simplify k into k 4.508 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.509 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.509 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.509 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.510 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 4.511 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 4.511 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.512 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 4.513 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 4.514 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 4.515 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.515 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.515 * [backup-simplify]: Simplify (- 0) into 0 4.515 * [backup-simplify]: Simplify (+ 0 0) into 0 4.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.516 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.517 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.518 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 4.519 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0 4.520 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.522 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 4.522 * [backup-simplify]: Simplify (- 0) into 0 4.522 * [backup-simplify]: Simplify 0 into 0 4.522 * [backup-simplify]: Simplify 0 into 0 4.526 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.527 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 4.528 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 4.528 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.528 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.529 * [taylor]: Taking taylor expansion of +nan.0 in n 4.529 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.529 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.529 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.529 * [taylor]: Taking taylor expansion of 0.5 in n 4.529 * [backup-simplify]: Simplify 0.5 into 0.5 4.529 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.529 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.529 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.529 * [taylor]: Taking taylor expansion of 2.0 in n 4.529 * [backup-simplify]: Simplify 2.0 into 2.0 4.529 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.529 * [taylor]: Taking taylor expansion of PI in n 4.529 * [backup-simplify]: Simplify PI into PI 4.529 * [taylor]: Taking taylor expansion of n in n 4.529 * [backup-simplify]: Simplify 0 into 0 4.529 * [backup-simplify]: Simplify 1 into 1 4.529 * [backup-simplify]: Simplify (/ PI 1) into PI 4.530 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.531 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.531 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.531 * [taylor]: Taking taylor expansion of 1.0 in n 4.531 * [backup-simplify]: Simplify 1.0 into 1.0 4.531 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.531 * [taylor]: Taking taylor expansion of k in n 4.531 * [backup-simplify]: Simplify k into k 4.531 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.532 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.532 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.532 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.533 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 4.534 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 4.536 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.537 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 4.538 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 4.539 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 4.548 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) 4.549 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) 4.549 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 4.549 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 4.549 * [taylor]: Taking taylor expansion of 1.0 in n 4.549 * [backup-simplify]: Simplify 1.0 into 1.0 4.549 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 4.549 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.549 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.549 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.549 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.549 * [taylor]: Taking taylor expansion of 0.5 in n 4.549 * [backup-simplify]: Simplify 0.5 into 0.5 4.549 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.549 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.549 * [taylor]: Taking taylor expansion of k in n 4.549 * [backup-simplify]: Simplify k into k 4.549 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.549 * [taylor]: Taking taylor expansion of 1.0 in n 4.549 * [backup-simplify]: Simplify 1.0 into 1.0 4.549 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.549 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.549 * [taylor]: Taking taylor expansion of -2.0 in n 4.549 * [backup-simplify]: Simplify -2.0 into -2.0 4.549 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.549 * [taylor]: Taking taylor expansion of PI in n 4.549 * [backup-simplify]: Simplify PI into PI 4.549 * [taylor]: Taking taylor expansion of n in n 4.549 * [backup-simplify]: Simplify 0 into 0 4.549 * [backup-simplify]: Simplify 1 into 1 4.550 * [backup-simplify]: Simplify (/ PI 1) into PI 4.550 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.551 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.551 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.551 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.552 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.552 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 4.553 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.553 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.553 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.553 * [taylor]: Taking taylor expansion of -1 in n 4.553 * [backup-simplify]: Simplify -1 into -1 4.553 * [taylor]: Taking taylor expansion of k in n 4.553 * [backup-simplify]: Simplify k into k 4.553 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 4.553 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 4.553 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 4.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 4.554 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) 4.554 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.554 * [taylor]: Taking taylor expansion of 1.0 in k 4.554 * [backup-simplify]: Simplify 1.0 into 1.0 4.554 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.554 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.554 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.554 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.554 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.554 * [taylor]: Taking taylor expansion of 0.5 in k 4.554 * [backup-simplify]: Simplify 0.5 into 0.5 4.554 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.554 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.554 * [taylor]: Taking taylor expansion of k in k 4.554 * [backup-simplify]: Simplify 0 into 0 4.554 * [backup-simplify]: Simplify 1 into 1 4.555 * [backup-simplify]: Simplify (/ 1 1) into 1 4.555 * [taylor]: Taking taylor expansion of 1.0 in k 4.555 * [backup-simplify]: Simplify 1.0 into 1.0 4.555 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.555 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.555 * [taylor]: Taking taylor expansion of -2.0 in k 4.555 * [backup-simplify]: Simplify -2.0 into -2.0 4.555 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.555 * [taylor]: Taking taylor expansion of PI in k 4.555 * [backup-simplify]: Simplify PI into PI 4.555 * [taylor]: Taking taylor expansion of n in k 4.555 * [backup-simplify]: Simplify n into n 4.555 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.555 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.555 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.555 * [backup-simplify]: Simplify (+ 1 0) into 1 4.556 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.556 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.556 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 4.556 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.556 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.556 * [taylor]: Taking taylor expansion of -1 in k 4.556 * [backup-simplify]: Simplify -1 into -1 4.556 * [taylor]: Taking taylor expansion of k in k 4.556 * [backup-simplify]: Simplify 0 into 0 4.556 * [backup-simplify]: Simplify 1 into 1 4.556 * [backup-simplify]: Simplify (/ -1 1) into -1 4.556 * [backup-simplify]: Simplify (sqrt 0) into 0 4.557 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.558 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 4.558 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.558 * [taylor]: Taking taylor expansion of 1.0 in k 4.558 * [backup-simplify]: Simplify 1.0 into 1.0 4.558 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.558 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.558 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.558 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.558 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.558 * [taylor]: Taking taylor expansion of 0.5 in k 4.558 * [backup-simplify]: Simplify 0.5 into 0.5 4.558 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.558 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.558 * [taylor]: Taking taylor expansion of k in k 4.558 * [backup-simplify]: Simplify 0 into 0 4.558 * [backup-simplify]: Simplify 1 into 1 4.558 * [backup-simplify]: Simplify (/ 1 1) into 1 4.558 * [taylor]: Taking taylor expansion of 1.0 in k 4.558 * [backup-simplify]: Simplify 1.0 into 1.0 4.558 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.558 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.558 * [taylor]: Taking taylor expansion of -2.0 in k 4.558 * [backup-simplify]: Simplify -2.0 into -2.0 4.558 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.558 * [taylor]: Taking taylor expansion of PI in k 4.558 * [backup-simplify]: Simplify PI into PI 4.558 * [taylor]: Taking taylor expansion of n in k 4.558 * [backup-simplify]: Simplify n into n 4.558 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.558 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.559 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.559 * [backup-simplify]: Simplify (+ 1 0) into 1 4.559 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.559 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.559 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 4.559 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.559 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.559 * [taylor]: Taking taylor expansion of -1 in k 4.559 * [backup-simplify]: Simplify -1 into -1 4.559 * [taylor]: Taking taylor expansion of k in k 4.559 * [backup-simplify]: Simplify 0 into 0 4.559 * [backup-simplify]: Simplify 1 into 1 4.560 * [backup-simplify]: Simplify (/ -1 1) into -1 4.560 * [backup-simplify]: Simplify (sqrt 0) into 0 4.561 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.561 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 4.561 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 4.561 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 4.561 * [taylor]: Taking taylor expansion of +nan.0 in n 4.561 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.561 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 4.561 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 4.561 * [taylor]: Taking taylor expansion of 0.5 in n 4.561 * [backup-simplify]: Simplify 0.5 into 0.5 4.561 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 4.561 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.561 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.561 * [taylor]: Taking taylor expansion of k in n 4.561 * [backup-simplify]: Simplify k into k 4.561 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.561 * [taylor]: Taking taylor expansion of 1.0 in n 4.561 * [backup-simplify]: Simplify 1.0 into 1.0 4.561 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.561 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.561 * [taylor]: Taking taylor expansion of -2.0 in n 4.561 * [backup-simplify]: Simplify -2.0 into -2.0 4.561 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.561 * [taylor]: Taking taylor expansion of PI in n 4.562 * [backup-simplify]: Simplify PI into PI 4.562 * [taylor]: Taking taylor expansion of n in n 4.562 * [backup-simplify]: Simplify 0 into 0 4.562 * [backup-simplify]: Simplify 1 into 1 4.562 * [backup-simplify]: Simplify (/ PI 1) into PI 4.562 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.563 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.563 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.564 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.564 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 4.565 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 4.566 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.567 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 4.567 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 4.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.570 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.571 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 4.571 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 4.571 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 4.571 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 4.571 * [taylor]: Taking taylor expansion of +nan.0 in n 4.571 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.571 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 4.571 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 4.571 * [taylor]: Taking taylor expansion of 0.5 in n 4.571 * [backup-simplify]: Simplify 0.5 into 0.5 4.571 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 4.571 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.571 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.571 * [taylor]: Taking taylor expansion of k in n 4.571 * [backup-simplify]: Simplify k into k 4.571 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.571 * [taylor]: Taking taylor expansion of 1.0 in n 4.571 * [backup-simplify]: Simplify 1.0 into 1.0 4.571 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.571 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.571 * [taylor]: Taking taylor expansion of -2.0 in n 4.571 * [backup-simplify]: Simplify -2.0 into -2.0 4.571 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.571 * [taylor]: Taking taylor expansion of PI in n 4.571 * [backup-simplify]: Simplify PI into PI 4.571 * [taylor]: Taking taylor expansion of n in n 4.571 * [backup-simplify]: Simplify 0 into 0 4.571 * [backup-simplify]: Simplify 1 into 1 4.572 * [backup-simplify]: Simplify (/ PI 1) into PI 4.572 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.573 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.573 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.574 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.574 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 4.575 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 4.576 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.577 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 4.577 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 4.578 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 4.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.579 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.580 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 4.580 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.580 * [backup-simplify]: Simplify (+ 0 0) into 0 4.582 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.583 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 4.584 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0 4.586 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.587 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 4.587 * [backup-simplify]: Simplify 0 into 0 4.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.591 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.593 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 4.594 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 4.594 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 4.594 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 4.594 * [taylor]: Taking taylor expansion of +nan.0 in n 4.594 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.594 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 4.594 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 4.594 * [taylor]: Taking taylor expansion of 0.5 in n 4.595 * [backup-simplify]: Simplify 0.5 into 0.5 4.595 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 4.595 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.595 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.595 * [taylor]: Taking taylor expansion of k in n 4.595 * [backup-simplify]: Simplify k into k 4.595 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.595 * [taylor]: Taking taylor expansion of 1.0 in n 4.595 * [backup-simplify]: Simplify 1.0 into 1.0 4.595 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.595 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.595 * [taylor]: Taking taylor expansion of -2.0 in n 4.595 * [backup-simplify]: Simplify -2.0 into -2.0 4.595 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.595 * [taylor]: Taking taylor expansion of PI in n 4.595 * [backup-simplify]: Simplify PI into PI 4.595 * [taylor]: Taking taylor expansion of n in n 4.595 * [backup-simplify]: Simplify 0 into 0 4.595 * [backup-simplify]: Simplify 1 into 1 4.596 * [backup-simplify]: Simplify (/ PI 1) into PI 4.596 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.597 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.597 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.599 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.600 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 4.601 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 4.602 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.604 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 4.605 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 4.606 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 4.611 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 4.612 * * * [progress]: simplifying candidates 4.616 * [simplify]: Simplifying: (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 4.625 * * [simplify]: Extracting # 0 : cost 0 4.626 * * [simplify]: Extracting # 1 : cost 0 4.626 * * [simplify]: Extracting # 2 : cost 0 4.627 * * [simplify]: Extracting # 3 : cost 0 4.628 * * [simplify]: Extracting # 4 : cost 0 4.628 * * [simplify]: Extracting # 5 : cost 0 4.629 * * [simplify]: Extracting # 6 : cost 0 4.630 * * [simplify]: Extracting # 7 : cost 0 4.631 * * [simplify]: Extracting # 8 : cost 0 4.632 * * [simplify]: Extracting # 9 : cost 0 4.633 * * [simplify]: Extracting # 10 : cost 0 4.634 * * [simplify]: Extracting # 11 : cost 0 4.635 * * [simplify]: Extracting # 12 : cost 0 4.636 * * [simplify]: Extracting # 13 : cost 0 4.638 * * [simplify]: Extracting # 14 : cost 0 4.639 * * [simplify]: Extracting # 15 : cost 0 4.640 * * [simplify]: Extracting # 16 : cost 0 4.641 * * [simplify]: Extracting # 17 : cost 0 4.642 * * [simplify]: Extracting # 18 : cost 0 4.643 * * [simplify]: Extracting # 19 : cost 0 4.644 * * [simplify]: Extracting # 20 : cost 0 4.645 * * [simplify]: Extracting # 21 : cost 0 4.646 * * [simplify]: Extracting # 22 : cost 0 4.647 * * [simplify]: Extracting # 23 : cost 0 4.648 * * [simplify]: Extracting # 24 : cost 0 4.649 * * [simplify]: Extracting # 25 : cost 0 4.650 * * [simplify]: Extracting # 26 : cost 0 4.651 * * [simplify]: Extracting # 27 : cost 0 4.652 * * [simplify]: Extracting # 28 : cost 0 4.660 * * [simplify]: Extracting # 29 : cost 0 4.661 * * [simplify]: Extracting # 30 : cost 0 4.662 * * [simplify]: Extracting # 31 : cost 0 4.663 * * [simplify]: Extracting # 32 : cost 0 4.665 * * [simplify]: Extracting # 33 : cost 0 4.666 * * [simplify]: iteration 0 : 361 enodes (cost 2800 ) 4.842 * * [simplify]: Extracting # 0 : cost 0 4.843 * * [simplify]: Extracting # 1 : cost 0 4.845 * * [simplify]: Extracting # 2 : cost 0 4.846 * * [simplify]: Extracting # 3 : cost 0 4.847 * * [simplify]: Extracting # 4 : cost 0 4.848 * * [simplify]: Extracting # 5 : cost 0 4.850 * * [simplify]: Extracting # 6 : cost 0 4.851 * * [simplify]: iteration 1 : 931 enodes (cost 2635 ) 5.366 * * [simplify]: Extracting # 0 : cost 0 5.370 * * [simplify]: Extracting # 1 : cost 0 5.374 * * [simplify]: Extracting # 2 : cost 0 5.378 * * [simplify]: Extracting # 3 : cost 0 5.381 * * [simplify]: Extracting # 4 : cost 0 5.385 * * [simplify]: Extracting # 5 : cost 0 5.389 * * [simplify]: iteration 2 : 3051 enodes (cost 2471 ) 6.623 * * [simplify]: Extracting # 0 : cost 0 6.635 * * [simplify]: Extracting # 1 : cost 0 6.647 * * [simplify]: Extracting # 2 : cost 0 6.659 * * [simplify]: Extracting # 3 : cost 0 6.670 * * [simplify]: Extracting # 4 : cost 0 6.690 * * [simplify]: iteration done: 5001 enodes (cost 2471 ) 6.693 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* PI (* 2.0 n)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (pow (* PI (* 2.0 n)) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* PI (* 2.0 n)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* PI (* 2.0 n)) (/ (/ (- 1.0 k) 2.0) 2)) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (/ (pow 1.0 3) k) (sqrt k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (log (* PI (* 2.0 n))) (log (* PI (* 2.0 n))) (log (* PI (* 2.0 n))) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* n PI) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (/ (pow 1.0 3) k) (sqrt k)) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3)) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (+ (+ (pow (* (* 2.0 PI) n) 0.5) (* (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (* 2.0 PI) n) 0.5)) 0.25)) (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (* (* 2.0 PI) n) 0.5)) (* (pow (* (* 2.0 PI) n) 0.5) (pow (log n) 2))))) (* (* 0.5 k) (+ (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (* (pow (* (* 2.0 PI) n) 0.5) (log (* 2.0 PI)))))) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (pow (exp (* 0.5 (- 1.0 k))) (- (log (* -2.0 PI)) (log (/ -1 n)))) (- (- (* +nan.0 k) (- (* +nan.0 (pow k 2)) +nan.0))) (+ (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ (- +nan.0) (pow k 2))) (- (+ (- (/ +nan.0 (pow k 2)) (/ +nan.0 k)) +nan.0)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (+ (+ (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))) (+ (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (* +nan.0 (- (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) (+ (* (- +nan.0) (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (pow k 3))) (* +nan.0 (- (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) k) (/ (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) k) k)))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)))) 6.694 * * * [progress]: adding candidates to table 7.344 * * [progress]: iteration 2 / 4 7.344 * * * [progress]: picking best candidate 7.382 * * * * [pick]: Picked # 7.382 * * * [progress]: localizing error 7.407 * * * [progress]: generating rewritten candidates 7.407 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 7.429 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 7.456 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 7.471 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 7.542 * * * [progress]: generating series expansions 7.542 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 7.543 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 7.543 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 7.543 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 7.543 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 7.543 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 7.543 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.543 * [taylor]: Taking taylor expansion of 0.5 in k 7.543 * [backup-simplify]: Simplify 0.5 into 0.5 7.543 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.543 * [taylor]: Taking taylor expansion of 1.0 in k 7.543 * [backup-simplify]: Simplify 1.0 into 1.0 7.543 * [taylor]: Taking taylor expansion of k in k 7.544 * [backup-simplify]: Simplify 0 into 0 7.544 * [backup-simplify]: Simplify 1 into 1 7.544 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 7.544 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 7.544 * [taylor]: Taking taylor expansion of 2.0 in k 7.544 * [backup-simplify]: Simplify 2.0 into 2.0 7.544 * [taylor]: Taking taylor expansion of (* n PI) in k 7.544 * [taylor]: Taking taylor expansion of n in k 7.544 * [backup-simplify]: Simplify n into n 7.544 * [taylor]: Taking taylor expansion of PI in k 7.544 * [backup-simplify]: Simplify PI into PI 7.544 * [backup-simplify]: Simplify (* n PI) into (* n PI) 7.544 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 7.544 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 7.544 * [backup-simplify]: Simplify (- 0) into 0 7.544 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.545 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 7.545 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 7.545 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 7.545 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 7.545 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 7.545 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 7.545 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 7.545 * [taylor]: Taking taylor expansion of 0.5 in n 7.545 * [backup-simplify]: Simplify 0.5 into 0.5 7.545 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 7.545 * [taylor]: Taking taylor expansion of 1.0 in n 7.545 * [backup-simplify]: Simplify 1.0 into 1.0 7.545 * [taylor]: Taking taylor expansion of k in n 7.545 * [backup-simplify]: Simplify k into k 7.545 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 7.545 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.545 * [taylor]: Taking taylor expansion of 2.0 in n 7.545 * [backup-simplify]: Simplify 2.0 into 2.0 7.545 * [taylor]: Taking taylor expansion of (* n PI) in n 7.545 * [taylor]: Taking taylor expansion of n in n 7.545 * [backup-simplify]: Simplify 0 into 0 7.545 * [backup-simplify]: Simplify 1 into 1 7.545 * [taylor]: Taking taylor expansion of PI in n 7.545 * [backup-simplify]: Simplify PI into PI 7.546 * [backup-simplify]: Simplify (* 0 PI) into 0 7.546 * [backup-simplify]: Simplify (* 2.0 0) into 0 7.547 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 7.548 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 7.549 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.549 * [backup-simplify]: Simplify (- k) into (- k) 7.549 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 7.549 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 7.550 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 7.550 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 7.551 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 7.551 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 7.551 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 7.551 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 7.551 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 7.551 * [taylor]: Taking taylor expansion of 0.5 in n 7.551 * [backup-simplify]: Simplify 0.5 into 0.5 7.551 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 7.551 * [taylor]: Taking taylor expansion of 1.0 in n 7.551 * [backup-simplify]: Simplify 1.0 into 1.0 7.551 * [taylor]: Taking taylor expansion of k in n 7.551 * [backup-simplify]: Simplify k into k 7.551 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 7.551 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.552 * [taylor]: Taking taylor expansion of 2.0 in n 7.552 * [backup-simplify]: Simplify 2.0 into 2.0 7.552 * [taylor]: Taking taylor expansion of (* n PI) in n 7.552 * [taylor]: Taking taylor expansion of n in n 7.552 * [backup-simplify]: Simplify 0 into 0 7.552 * [backup-simplify]: Simplify 1 into 1 7.552 * [taylor]: Taking taylor expansion of PI in n 7.552 * [backup-simplify]: Simplify PI into PI 7.552 * [backup-simplify]: Simplify (* 0 PI) into 0 7.552 * [backup-simplify]: Simplify (* 2.0 0) into 0 7.553 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 7.554 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 7.555 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.555 * [backup-simplify]: Simplify (- k) into (- k) 7.555 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 7.555 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 7.556 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 7.556 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 7.557 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 7.557 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 7.557 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 7.557 * [taylor]: Taking taylor expansion of 0.5 in k 7.557 * [backup-simplify]: Simplify 0.5 into 0.5 7.557 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 7.557 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.557 * [taylor]: Taking taylor expansion of 1.0 in k 7.557 * [backup-simplify]: Simplify 1.0 into 1.0 7.557 * [taylor]: Taking taylor expansion of k in k 7.557 * [backup-simplify]: Simplify 0 into 0 7.557 * [backup-simplify]: Simplify 1 into 1 7.557 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 7.558 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.558 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.558 * [taylor]: Taking taylor expansion of 2.0 in k 7.558 * [backup-simplify]: Simplify 2.0 into 2.0 7.558 * [taylor]: Taking taylor expansion of PI in k 7.558 * [backup-simplify]: Simplify PI into PI 7.558 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.559 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.559 * [taylor]: Taking taylor expansion of (log n) in k 7.559 * [taylor]: Taking taylor expansion of n in k 7.559 * [backup-simplify]: Simplify n into n 7.559 * [backup-simplify]: Simplify (log n) into (log n) 7.559 * [backup-simplify]: Simplify (- 0) into 0 7.559 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.560 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 7.567 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 7.568 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 7.569 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 7.570 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 7.570 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 7.571 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 7.572 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 7.572 * [backup-simplify]: Simplify (- 0) into 0 7.573 * [backup-simplify]: Simplify (+ 0 0) into 0 7.573 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 7.574 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 7.574 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 7.576 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 7.576 * [taylor]: Taking taylor expansion of 0 in k 7.576 * [backup-simplify]: Simplify 0 into 0 7.576 * [backup-simplify]: Simplify 0 into 0 7.576 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 7.577 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 7.578 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 7.578 * [backup-simplify]: Simplify (+ 0 0) into 0 7.578 * [backup-simplify]: Simplify (- 1) into -1 7.578 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.579 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 7.581 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 7.583 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 7.584 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 7.585 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 7.586 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 7.588 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 7.588 * [backup-simplify]: Simplify (- 0) into 0 7.588 * [backup-simplify]: Simplify (+ 0 0) into 0 7.589 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 7.590 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 7.591 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 7.592 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.592 * [taylor]: Taking taylor expansion of 0 in k 7.592 * [backup-simplify]: Simplify 0 into 0 7.592 * [backup-simplify]: Simplify 0 into 0 7.592 * [backup-simplify]: Simplify 0 into 0 7.593 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 7.595 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 7.596 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 7.597 * [backup-simplify]: Simplify (+ 0 0) into 0 7.597 * [backup-simplify]: Simplify (- 0) into 0 7.597 * [backup-simplify]: Simplify (+ 0 0) into 0 7.598 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 7.600 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 7.602 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 7.606 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 7.617 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 7.618 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) 7.618 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 7.618 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 7.618 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 7.618 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 7.618 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 7.618 * [taylor]: Taking taylor expansion of 0.5 in k 7.618 * [backup-simplify]: Simplify 0.5 into 0.5 7.618 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.618 * [taylor]: Taking taylor expansion of 1.0 in k 7.618 * [backup-simplify]: Simplify 1.0 into 1.0 7.618 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.618 * [taylor]: Taking taylor expansion of k in k 7.618 * [backup-simplify]: Simplify 0 into 0 7.619 * [backup-simplify]: Simplify 1 into 1 7.619 * [backup-simplify]: Simplify (/ 1 1) into 1 7.619 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 7.619 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 7.619 * [taylor]: Taking taylor expansion of 2.0 in k 7.619 * [backup-simplify]: Simplify 2.0 into 2.0 7.619 * [taylor]: Taking taylor expansion of (/ PI n) in k 7.619 * [taylor]: Taking taylor expansion of PI in k 7.619 * [backup-simplify]: Simplify PI into PI 7.619 * [taylor]: Taking taylor expansion of n in k 7.619 * [backup-simplify]: Simplify n into n 7.619 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 7.619 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 7.620 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 7.620 * [backup-simplify]: Simplify (- 1) into -1 7.620 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.621 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 7.621 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 7.621 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 7.621 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 7.621 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 7.621 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 7.621 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 7.621 * [taylor]: Taking taylor expansion of 0.5 in n 7.621 * [backup-simplify]: Simplify 0.5 into 0.5 7.621 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 7.621 * [taylor]: Taking taylor expansion of 1.0 in n 7.621 * [backup-simplify]: Simplify 1.0 into 1.0 7.621 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.622 * [taylor]: Taking taylor expansion of k in n 7.622 * [backup-simplify]: Simplify k into k 7.622 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.622 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 7.622 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 7.622 * [taylor]: Taking taylor expansion of 2.0 in n 7.622 * [backup-simplify]: Simplify 2.0 into 2.0 7.622 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.622 * [taylor]: Taking taylor expansion of PI in n 7.622 * [backup-simplify]: Simplify PI into PI 7.622 * [taylor]: Taking taylor expansion of n in n 7.622 * [backup-simplify]: Simplify 0 into 0 7.622 * [backup-simplify]: Simplify 1 into 1 7.622 * [backup-simplify]: Simplify (/ PI 1) into PI 7.623 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.624 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.624 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 7.624 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 7.624 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 7.626 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 7.627 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 7.628 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 7.628 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 7.628 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 7.628 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 7.628 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 7.628 * [taylor]: Taking taylor expansion of 0.5 in n 7.628 * [backup-simplify]: Simplify 0.5 into 0.5 7.628 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 7.628 * [taylor]: Taking taylor expansion of 1.0 in n 7.628 * [backup-simplify]: Simplify 1.0 into 1.0 7.628 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.629 * [taylor]: Taking taylor expansion of k in n 7.629 * [backup-simplify]: Simplify k into k 7.629 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.629 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 7.629 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 7.629 * [taylor]: Taking taylor expansion of 2.0 in n 7.629 * [backup-simplify]: Simplify 2.0 into 2.0 7.629 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.629 * [taylor]: Taking taylor expansion of PI in n 7.629 * [backup-simplify]: Simplify PI into PI 7.629 * [taylor]: Taking taylor expansion of n in n 7.629 * [backup-simplify]: Simplify 0 into 0 7.629 * [backup-simplify]: Simplify 1 into 1 7.630 * [backup-simplify]: Simplify (/ PI 1) into PI 7.630 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.631 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.631 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 7.631 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 7.631 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 7.633 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 7.634 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 7.636 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 7.636 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 7.636 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 7.636 * [taylor]: Taking taylor expansion of 0.5 in k 7.636 * [backup-simplify]: Simplify 0.5 into 0.5 7.637 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 7.637 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 7.637 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.637 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.637 * [taylor]: Taking taylor expansion of 2.0 in k 7.637 * [backup-simplify]: Simplify 2.0 into 2.0 7.637 * [taylor]: Taking taylor expansion of PI in k 7.637 * [backup-simplify]: Simplify PI into PI 7.638 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.639 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.639 * [taylor]: Taking taylor expansion of (log n) in k 7.639 * [taylor]: Taking taylor expansion of n in k 7.639 * [backup-simplify]: Simplify n into n 7.639 * [backup-simplify]: Simplify (log n) into (log n) 7.639 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.639 * [taylor]: Taking taylor expansion of 1.0 in k 7.639 * [backup-simplify]: Simplify 1.0 into 1.0 7.639 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.639 * [taylor]: Taking taylor expansion of k in k 7.639 * [backup-simplify]: Simplify 0 into 0 7.639 * [backup-simplify]: Simplify 1 into 1 7.640 * [backup-simplify]: Simplify (/ 1 1) into 1 7.640 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 7.641 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 7.641 * [backup-simplify]: Simplify (- 1) into -1 7.642 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.643 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 7.644 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 7.645 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 7.646 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 7.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.648 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 7.650 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 7.650 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 7.651 * [backup-simplify]: Simplify (- 0) into 0 7.651 * [backup-simplify]: Simplify (+ 0 0) into 0 7.652 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 7.653 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 7.654 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 7.656 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 7.656 * [taylor]: Taking taylor expansion of 0 in k 7.656 * [backup-simplify]: Simplify 0 into 0 7.656 * [backup-simplify]: Simplify 0 into 0 7.656 * [backup-simplify]: Simplify 0 into 0 7.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.658 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 7.662 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 7.662 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 7.662 * [backup-simplify]: Simplify (- 0) into 0 7.663 * [backup-simplify]: Simplify (+ 0 0) into 0 7.664 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 7.665 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 7.667 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 7.669 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.669 * [taylor]: Taking taylor expansion of 0 in k 7.669 * [backup-simplify]: Simplify 0 into 0 7.669 * [backup-simplify]: Simplify 0 into 0 7.669 * [backup-simplify]: Simplify 0 into 0 7.669 * [backup-simplify]: Simplify 0 into 0 7.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.672 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.677 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 7.677 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 7.678 * [backup-simplify]: Simplify (- 0) into 0 7.678 * [backup-simplify]: Simplify (+ 0 0) into 0 7.679 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 7.681 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 7.682 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 7.685 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.685 * [taylor]: Taking taylor expansion of 0 in k 7.685 * [backup-simplify]: Simplify 0 into 0 7.686 * [backup-simplify]: Simplify 0 into 0 7.687 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 7.693 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) 7.694 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 7.694 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 7.694 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 7.694 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 7.694 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 7.694 * [taylor]: Taking taylor expansion of 0.5 in k 7.694 * [backup-simplify]: Simplify 0.5 into 0.5 7.694 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.694 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.694 * [taylor]: Taking taylor expansion of k in k 7.694 * [backup-simplify]: Simplify 0 into 0 7.694 * [backup-simplify]: Simplify 1 into 1 7.695 * [backup-simplify]: Simplify (/ 1 1) into 1 7.695 * [taylor]: Taking taylor expansion of 1.0 in k 7.695 * [backup-simplify]: Simplify 1.0 into 1.0 7.695 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 7.695 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 7.695 * [taylor]: Taking taylor expansion of -2.0 in k 7.695 * [backup-simplify]: Simplify -2.0 into -2.0 7.695 * [taylor]: Taking taylor expansion of (/ PI n) in k 7.695 * [taylor]: Taking taylor expansion of PI in k 7.695 * [backup-simplify]: Simplify PI into PI 7.695 * [taylor]: Taking taylor expansion of n in k 7.695 * [backup-simplify]: Simplify n into n 7.695 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 7.695 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 7.695 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 7.696 * [backup-simplify]: Simplify (+ 1 0) into 1 7.696 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.696 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 7.697 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 7.697 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 7.697 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 7.697 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 7.697 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 7.697 * [taylor]: Taking taylor expansion of 0.5 in n 7.697 * [backup-simplify]: Simplify 0.5 into 0.5 7.697 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 7.697 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.697 * [taylor]: Taking taylor expansion of k in n 7.697 * [backup-simplify]: Simplify k into k 7.697 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.697 * [taylor]: Taking taylor expansion of 1.0 in n 7.697 * [backup-simplify]: Simplify 1.0 into 1.0 7.697 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 7.697 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 7.697 * [taylor]: Taking taylor expansion of -2.0 in n 7.697 * [backup-simplify]: Simplify -2.0 into -2.0 7.697 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.697 * [taylor]: Taking taylor expansion of PI in n 7.697 * [backup-simplify]: Simplify PI into PI 7.697 * [taylor]: Taking taylor expansion of n in n 7.697 * [backup-simplify]: Simplify 0 into 0 7.697 * [backup-simplify]: Simplify 1 into 1 7.698 * [backup-simplify]: Simplify (/ PI 1) into PI 7.698 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 7.700 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 7.700 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 7.700 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 7.701 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 7.703 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 7.704 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 7.704 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 7.704 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 7.704 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 7.704 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 7.704 * [taylor]: Taking taylor expansion of 0.5 in n 7.704 * [backup-simplify]: Simplify 0.5 into 0.5 7.704 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 7.704 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.704 * [taylor]: Taking taylor expansion of k in n 7.705 * [backup-simplify]: Simplify k into k 7.705 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.705 * [taylor]: Taking taylor expansion of 1.0 in n 7.705 * [backup-simplify]: Simplify 1.0 into 1.0 7.705 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 7.705 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 7.705 * [taylor]: Taking taylor expansion of -2.0 in n 7.705 * [backup-simplify]: Simplify -2.0 into -2.0 7.705 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.705 * [taylor]: Taking taylor expansion of PI in n 7.705 * [backup-simplify]: Simplify PI into PI 7.705 * [taylor]: Taking taylor expansion of n in n 7.705 * [backup-simplify]: Simplify 0 into 0 7.705 * [backup-simplify]: Simplify 1 into 1 7.705 * [backup-simplify]: Simplify (/ PI 1) into PI 7.706 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 7.707 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 7.707 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 7.707 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 7.709 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 7.710 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 7.711 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 7.711 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 7.712 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 7.712 * [taylor]: Taking taylor expansion of 0.5 in k 7.712 * [backup-simplify]: Simplify 0.5 into 0.5 7.712 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 7.712 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.712 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.712 * [taylor]: Taking taylor expansion of k in k 7.712 * [backup-simplify]: Simplify 0 into 0 7.712 * [backup-simplify]: Simplify 1 into 1 7.712 * [backup-simplify]: Simplify (/ 1 1) into 1 7.712 * [taylor]: Taking taylor expansion of 1.0 in k 7.712 * [backup-simplify]: Simplify 1.0 into 1.0 7.712 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 7.712 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 7.712 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 7.712 * [taylor]: Taking taylor expansion of -2.0 in k 7.712 * [backup-simplify]: Simplify -2.0 into -2.0 7.712 * [taylor]: Taking taylor expansion of PI in k 7.712 * [backup-simplify]: Simplify PI into PI 7.713 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 7.714 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 7.714 * [taylor]: Taking taylor expansion of (log n) in k 7.714 * [taylor]: Taking taylor expansion of n in k 7.714 * [backup-simplify]: Simplify n into n 7.714 * [backup-simplify]: Simplify (log n) into (log n) 7.715 * [backup-simplify]: Simplify (+ 1 0) into 1 7.715 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 7.716 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 7.717 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 7.718 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 7.719 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 7.721 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 7.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.722 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 7.724 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 7.724 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 7.724 * [backup-simplify]: Simplify (+ 0 0) into 0 7.725 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 7.726 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 7.728 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 7.730 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 7.730 * [taylor]: Taking taylor expansion of 0 in k 7.730 * [backup-simplify]: Simplify 0 into 0 7.730 * [backup-simplify]: Simplify 0 into 0 7.730 * [backup-simplify]: Simplify 0 into 0 7.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.732 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 7.735 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 7.736 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 7.736 * [backup-simplify]: Simplify (+ 0 0) into 0 7.737 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 7.738 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 7.740 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 7.742 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.742 * [taylor]: Taking taylor expansion of 0 in k 7.742 * [backup-simplify]: Simplify 0 into 0 7.743 * [backup-simplify]: Simplify 0 into 0 7.743 * [backup-simplify]: Simplify 0 into 0 7.743 * [backup-simplify]: Simplify 0 into 0 7.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.745 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.751 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 7.751 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 7.752 * [backup-simplify]: Simplify (+ 0 0) into 0 7.753 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 7.755 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 7.757 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 7.760 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.760 * [taylor]: Taking taylor expansion of 0 in k 7.760 * [backup-simplify]: Simplify 0 into 0 7.760 * [backup-simplify]: Simplify 0 into 0 7.761 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 7.762 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 7.762 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) into (* 1.0 (sqrt (/ 1 k))) 7.762 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 7.762 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 7.762 * [taylor]: Taking taylor expansion of 1.0 in k 7.762 * [backup-simplify]: Simplify 1.0 into 1.0 7.762 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.762 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.762 * [taylor]: Taking taylor expansion of k in k 7.762 * [backup-simplify]: Simplify 0 into 0 7.762 * [backup-simplify]: Simplify 1 into 1 7.763 * [backup-simplify]: Simplify (/ 1 1) into 1 7.763 * [backup-simplify]: Simplify (sqrt 0) into 0 7.764 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.764 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 7.764 * [taylor]: Taking taylor expansion of 1.0 in k 7.764 * [backup-simplify]: Simplify 1.0 into 1.0 7.765 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.765 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.765 * [taylor]: Taking taylor expansion of k in k 7.765 * [backup-simplify]: Simplify 0 into 0 7.765 * [backup-simplify]: Simplify 1 into 1 7.765 * [backup-simplify]: Simplify (/ 1 1) into 1 7.765 * [backup-simplify]: Simplify (sqrt 0) into 0 7.767 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.767 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.767 * [backup-simplify]: Simplify 0 into 0 7.769 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 7.769 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.773 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.775 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 7.775 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.780 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.782 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 7.783 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.784 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 7.784 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (sqrt (/ 1 k)))) (sqrt (sqrt (/ 1 k)))) into (* 1.0 (sqrt k)) 7.784 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 7.784 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 7.784 * [taylor]: Taking taylor expansion of 1.0 in k 7.784 * [backup-simplify]: Simplify 1.0 into 1.0 7.784 * [taylor]: Taking taylor expansion of (sqrt k) in k 7.785 * [taylor]: Taking taylor expansion of k in k 7.785 * [backup-simplify]: Simplify 0 into 0 7.785 * [backup-simplify]: Simplify 1 into 1 7.785 * [backup-simplify]: Simplify (sqrt 0) into 0 7.786 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.786 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 7.786 * [taylor]: Taking taylor expansion of 1.0 in k 7.786 * [backup-simplify]: Simplify 1.0 into 1.0 7.786 * [taylor]: Taking taylor expansion of (sqrt k) in k 7.786 * [taylor]: Taking taylor expansion of k in k 7.786 * [backup-simplify]: Simplify 0 into 0 7.786 * [backup-simplify]: Simplify 1 into 1 7.787 * [backup-simplify]: Simplify (sqrt 0) into 0 7.788 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.789 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.789 * [backup-simplify]: Simplify 0 into 0 7.790 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 7.791 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.794 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.795 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 7.796 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.799 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.802 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 7.802 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.804 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 7.804 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (sqrt (/ 1 (- k))))) (sqrt (sqrt (/ 1 (- k))))) into (/ 1.0 (sqrt (/ -1 k))) 7.804 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 7.804 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 7.804 * [taylor]: Taking taylor expansion of 1.0 in k 7.804 * [backup-simplify]: Simplify 1.0 into 1.0 7.804 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 7.804 * [taylor]: Taking taylor expansion of (/ -1 k) in k 7.804 * [taylor]: Taking taylor expansion of -1 in k 7.804 * [backup-simplify]: Simplify -1 into -1 7.804 * [taylor]: Taking taylor expansion of k in k 7.804 * [backup-simplify]: Simplify 0 into 0 7.804 * [backup-simplify]: Simplify 1 into 1 7.805 * [backup-simplify]: Simplify (/ -1 1) into -1 7.805 * [backup-simplify]: Simplify (sqrt 0) into 0 7.806 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.807 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 7.807 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 7.807 * [taylor]: Taking taylor expansion of 1.0 in k 7.807 * [backup-simplify]: Simplify 1.0 into 1.0 7.807 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 7.807 * [taylor]: Taking taylor expansion of (/ -1 k) in k 7.807 * [taylor]: Taking taylor expansion of -1 in k 7.807 * [backup-simplify]: Simplify -1 into -1 7.807 * [taylor]: Taking taylor expansion of k in k 7.807 * [backup-simplify]: Simplify 0 into 0 7.807 * [backup-simplify]: Simplify 1 into 1 7.808 * [backup-simplify]: Simplify (/ -1 1) into -1 7.808 * [backup-simplify]: Simplify (sqrt 0) into 0 7.810 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.810 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 7.810 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.814 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.816 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 7.817 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.821 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.823 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 7.824 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.824 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 7.824 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 7.824 * [backup-simplify]: Simplify (/ 1.0 (sqrt (sqrt k))) into (* 1.0 (pow (/ 1 k) 1/4)) 7.824 * [approximate]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in (k) around 0 7.824 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 7.825 * [taylor]: Taking taylor expansion of 1.0 in k 7.825 * [backup-simplify]: Simplify 1.0 into 1.0 7.825 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 7.825 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 7.825 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 7.825 * [taylor]: Taking taylor expansion of 1/4 in k 7.825 * [backup-simplify]: Simplify 1/4 into 1/4 7.825 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 7.825 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.825 * [taylor]: Taking taylor expansion of k in k 7.825 * [backup-simplify]: Simplify 0 into 0 7.825 * [backup-simplify]: Simplify 1 into 1 7.825 * [backup-simplify]: Simplify (/ 1 1) into 1 7.825 * [backup-simplify]: Simplify (log 1) into 0 7.825 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 7.826 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 7.826 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 7.826 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 7.826 * [taylor]: Taking taylor expansion of 1.0 in k 7.826 * [backup-simplify]: Simplify 1.0 into 1.0 7.826 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 7.826 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 7.826 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 7.826 * [taylor]: Taking taylor expansion of 1/4 in k 7.826 * [backup-simplify]: Simplify 1/4 into 1/4 7.826 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 7.826 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.826 * [taylor]: Taking taylor expansion of k in k 7.826 * [backup-simplify]: Simplify 0 into 0 7.826 * [backup-simplify]: Simplify 1 into 1 7.826 * [backup-simplify]: Simplify (/ 1 1) into 1 7.826 * [backup-simplify]: Simplify (log 1) into 0 7.827 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 7.827 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 7.827 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 7.827 * [backup-simplify]: Simplify (* 1.0 (pow k -1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 7.827 * [backup-simplify]: Simplify (* 1.0 (pow (/ 1 k) 1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 7.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.828 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.828 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 7.829 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log k)))) into 0 7.829 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 7.830 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (pow k -1/4))) into 0 7.830 * [backup-simplify]: Simplify 0 into 0 7.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.835 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.836 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 7.836 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 7.837 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.838 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (pow k -1/4)))) into 0 7.838 * [backup-simplify]: Simplify 0 into 0 7.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.841 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 7.841 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 7.842 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 7.843 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.844 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4))))) into 0 7.844 * [backup-simplify]: Simplify 0 into 0 7.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.851 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 7.852 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 7.853 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 7.856 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.858 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4)))))) into 0 7.858 * [backup-simplify]: Simplify 0 into 0 7.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.875 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 7.875 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 7.877 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 7.881 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.883 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4))))))) into 0 7.883 * [backup-simplify]: Simplify 0 into 0 7.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.911 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 7.911 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 7.914 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 7.919 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.922 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4)))))))) into 0 7.922 * [backup-simplify]: Simplify 0 into 0 7.922 * [backup-simplify]: Simplify (* 1.0 (pow (/ 1 k) 1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 7.922 * [backup-simplify]: Simplify (/ 1.0 (sqrt (sqrt (/ 1 k)))) into (* 1.0 (pow k 1/4)) 7.922 * [approximate]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in (k) around 0 7.922 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 7.922 * [taylor]: Taking taylor expansion of 1.0 in k 7.922 * [backup-simplify]: Simplify 1.0 into 1.0 7.922 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 7.922 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 7.922 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 7.923 * [taylor]: Taking taylor expansion of 1/4 in k 7.923 * [backup-simplify]: Simplify 1/4 into 1/4 7.923 * [taylor]: Taking taylor expansion of (log k) in k 7.923 * [taylor]: Taking taylor expansion of k in k 7.923 * [backup-simplify]: Simplify 0 into 0 7.923 * [backup-simplify]: Simplify 1 into 1 7.923 * [backup-simplify]: Simplify (log 1) into 0 7.924 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 7.924 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 7.924 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 7.924 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 7.924 * [taylor]: Taking taylor expansion of 1.0 in k 7.924 * [backup-simplify]: Simplify 1.0 into 1.0 7.924 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 7.924 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 7.924 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 7.924 * [taylor]: Taking taylor expansion of 1/4 in k 7.924 * [backup-simplify]: Simplify 1/4 into 1/4 7.924 * [taylor]: Taking taylor expansion of (log k) in k 7.924 * [taylor]: Taking taylor expansion of k in k 7.924 * [backup-simplify]: Simplify 0 into 0 7.924 * [backup-simplify]: Simplify 1 into 1 7.924 * [backup-simplify]: Simplify (log 1) into 0 7.925 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 7.925 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 7.925 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 7.925 * [backup-simplify]: Simplify (* 1.0 (pow k 1/4)) into (* 1.0 (pow k 1/4)) 7.925 * [backup-simplify]: Simplify (* 1.0 (pow k 1/4)) into (* 1.0 (pow k 1/4)) 7.927 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.927 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 7.928 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 7.929 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 7.929 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (pow k 1/4))) into 0 7.929 * [backup-simplify]: Simplify 0 into 0 7.932 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.932 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 7.933 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 7.935 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.935 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (pow k 1/4)))) into 0 7.936 * [backup-simplify]: Simplify 0 into 0 7.940 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 7.941 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 7.942 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 7.944 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.945 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4))))) into 0 7.945 * [backup-simplify]: Simplify 0 into 0 7.954 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 7.955 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 7.956 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 7.959 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.960 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4)))))) into 0 7.961 * [backup-simplify]: Simplify 0 into 0 7.975 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 7.975 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 7.976 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 7.978 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.980 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4))))))) into 0 7.980 * [backup-simplify]: Simplify 0 into 0 7.994 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 7.995 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 7.996 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 8.002 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.005 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4)))))))) into 0 8.005 * [backup-simplify]: Simplify 0 into 0 8.005 * [backup-simplify]: Simplify (* 1.0 (pow (/ 1 k) 1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 8.005 * [backup-simplify]: Simplify (/ 1.0 (sqrt (sqrt (/ 1 (- k))))) into (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) 8.005 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in (k) around 0 8.005 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 8.005 * [taylor]: Taking taylor expansion of 1.0 in k 8.005 * [backup-simplify]: Simplify 1.0 into 1.0 8.005 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 8.006 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 8.006 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.006 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.006 * [taylor]: Taking taylor expansion of -1 in k 8.006 * [backup-simplify]: Simplify -1 into -1 8.006 * [taylor]: Taking taylor expansion of k in k 8.006 * [backup-simplify]: Simplify 0 into 0 8.006 * [backup-simplify]: Simplify 1 into 1 8.006 * [backup-simplify]: Simplify (/ -1 1) into -1 8.007 * [backup-simplify]: Simplify (sqrt 0) into 0 8.008 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.009 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 8.009 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 8.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.013 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.015 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 8.017 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 8.017 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 8.017 * [taylor]: Taking taylor expansion of 1.0 in k 8.017 * [backup-simplify]: Simplify 1.0 into 1.0 8.017 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 8.017 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 8.017 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.017 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.017 * [taylor]: Taking taylor expansion of -1 in k 8.017 * [backup-simplify]: Simplify -1 into -1 8.017 * [taylor]: Taking taylor expansion of k in k 8.017 * [backup-simplify]: Simplify 0 into 0 8.017 * [backup-simplify]: Simplify 1 into 1 8.018 * [backup-simplify]: Simplify (/ -1 1) into -1 8.018 * [backup-simplify]: Simplify (sqrt 0) into 0 8.019 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.020 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 8.020 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 8.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.024 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.026 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 8.028 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 8.029 * [backup-simplify]: Simplify (* 1.0 (sqrt +nan.0)) into (* 1.0 (sqrt +nan.0)) 8.030 * [backup-simplify]: Simplify (* 1.0 (sqrt +nan.0)) into (* 1.0 (sqrt +nan.0)) 8.033 * [backup-simplify]: Simplify (+ (* 1.0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 8.035 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (sqrt +nan.0)))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 8.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.040 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.044 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 8.049 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 8.062 * [backup-simplify]: Simplify (+ (* 1.0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) 8.070 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) 8.083 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (/ 1 (sqrt +nan.0)))) (/ 1 (- k))) (* 1.0 (sqrt +nan.0)))) into (- (* 1.0 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) k))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2))))))))) 8.083 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 8.093 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 8.093 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 8.093 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.093 * [taylor]: Taking taylor expansion of 2.0 in n 8.093 * [backup-simplify]: Simplify 2.0 into 2.0 8.093 * [taylor]: Taking taylor expansion of (* n PI) in n 8.093 * [taylor]: Taking taylor expansion of n in n 8.093 * [backup-simplify]: Simplify 0 into 0 8.093 * [backup-simplify]: Simplify 1 into 1 8.093 * [taylor]: Taking taylor expansion of PI in n 8.093 * [backup-simplify]: Simplify PI into PI 8.093 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.093 * [taylor]: Taking taylor expansion of 2.0 in n 8.093 * [backup-simplify]: Simplify 2.0 into 2.0 8.093 * [taylor]: Taking taylor expansion of (* n PI) in n 8.093 * [taylor]: Taking taylor expansion of n in n 8.093 * [backup-simplify]: Simplify 0 into 0 8.093 * [backup-simplify]: Simplify 1 into 1 8.093 * [taylor]: Taking taylor expansion of PI in n 8.094 * [backup-simplify]: Simplify PI into PI 8.095 * [backup-simplify]: Simplify (* 0 PI) into 0 8.095 * [backup-simplify]: Simplify (* 2.0 0) into 0 8.095 * [backup-simplify]: Simplify 0 into 0 8.097 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.099 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 8.099 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.100 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 8.101 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 8.101 * [backup-simplify]: Simplify 0 into 0 8.103 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 8.104 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 8.104 * [backup-simplify]: Simplify 0 into 0 8.105 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.106 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 8.106 * [backup-simplify]: Simplify 0 into 0 8.108 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 8.109 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 8.109 * [backup-simplify]: Simplify 0 into 0 8.111 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 8.113 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 8.113 * [backup-simplify]: Simplify 0 into 0 8.114 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 8.116 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 8.116 * [backup-simplify]: Simplify 0 into 0 8.117 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 8.118 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 8.118 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 8.118 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.118 * [taylor]: Taking taylor expansion of 2.0 in n 8.118 * [backup-simplify]: Simplify 2.0 into 2.0 8.118 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.118 * [taylor]: Taking taylor expansion of PI in n 8.118 * [backup-simplify]: Simplify PI into PI 8.118 * [taylor]: Taking taylor expansion of n in n 8.118 * [backup-simplify]: Simplify 0 into 0 8.118 * [backup-simplify]: Simplify 1 into 1 8.118 * [backup-simplify]: Simplify (/ PI 1) into PI 8.118 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.118 * [taylor]: Taking taylor expansion of 2.0 in n 8.118 * [backup-simplify]: Simplify 2.0 into 2.0 8.118 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.119 * [taylor]: Taking taylor expansion of PI in n 8.119 * [backup-simplify]: Simplify PI into PI 8.119 * [taylor]: Taking taylor expansion of n in n 8.119 * [backup-simplify]: Simplify 0 into 0 8.119 * [backup-simplify]: Simplify 1 into 1 8.119 * [backup-simplify]: Simplify (/ PI 1) into PI 8.120 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.120 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.121 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.121 * [backup-simplify]: Simplify 0 into 0 8.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.122 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.122 * [backup-simplify]: Simplify 0 into 0 8.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.124 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.124 * [backup-simplify]: Simplify 0 into 0 8.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.125 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.125 * [backup-simplify]: Simplify 0 into 0 8.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.126 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 8.127 * [backup-simplify]: Simplify 0 into 0 8.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.128 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 8.128 * [backup-simplify]: Simplify 0 into 0 8.128 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 8.129 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 8.129 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 8.129 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.129 * [taylor]: Taking taylor expansion of -2.0 in n 8.129 * [backup-simplify]: Simplify -2.0 into -2.0 8.129 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.129 * [taylor]: Taking taylor expansion of PI in n 8.129 * [backup-simplify]: Simplify PI into PI 8.129 * [taylor]: Taking taylor expansion of n in n 8.129 * [backup-simplify]: Simplify 0 into 0 8.129 * [backup-simplify]: Simplify 1 into 1 8.130 * [backup-simplify]: Simplify (/ PI 1) into PI 8.130 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.130 * [taylor]: Taking taylor expansion of -2.0 in n 8.130 * [backup-simplify]: Simplify -2.0 into -2.0 8.130 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.130 * [taylor]: Taking taylor expansion of PI in n 8.130 * [backup-simplify]: Simplify PI into PI 8.130 * [taylor]: Taking taylor expansion of n in n 8.130 * [backup-simplify]: Simplify 0 into 0 8.130 * [backup-simplify]: Simplify 1 into 1 8.130 * [backup-simplify]: Simplify (/ PI 1) into PI 8.130 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.131 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.132 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 8.132 * [backup-simplify]: Simplify 0 into 0 8.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.133 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.133 * [backup-simplify]: Simplify 0 into 0 8.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.134 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.134 * [backup-simplify]: Simplify 0 into 0 8.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.135 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.136 * [backup-simplify]: Simplify 0 into 0 8.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.137 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 8.137 * [backup-simplify]: Simplify 0 into 0 8.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.138 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 8.139 * [backup-simplify]: Simplify 0 into 0 8.139 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 8.139 * * * [progress]: simplifying candidates 8.147 * [simplify]: Simplifying: (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (- (- (log 1.0) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (- (log (/ 1.0 (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (log (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (exp (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (* (* (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (* (sqrt 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PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* 1.0 (pow (/ 1 k) 1/4)) (* 1.0 (pow (/ 1 k) 1/4)) (- (* 1.0 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) k))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2))))))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 8.165 * * [simplify]: Extracting # 0 : cost 0 8.166 * * [simplify]: Extracting # 1 : cost 0 8.167 * * [simplify]: Extracting # 2 : cost 0 8.168 * * [simplify]: Extracting # 3 : cost 0 8.169 * * [simplify]: Extracting # 4 : cost 0 8.170 * * [simplify]: Extracting # 5 : cost 0 8.171 * * [simplify]: Extracting # 6 : cost 0 8.172 * * [simplify]: Extracting # 7 : cost 0 8.173 * * [simplify]: Extracting # 8 : cost 0 8.181 * * [simplify]: Extracting # 9 : cost 0 8.182 * * [simplify]: Extracting # 10 : cost 0 8.183 * * [simplify]: Extracting # 11 : cost 0 8.184 * * [simplify]: Extracting # 12 : cost 0 8.185 * * [simplify]: Extracting # 13 : cost 0 8.186 * * [simplify]: iteration 0 : 558 enodes (cost 8953 ) 8.471 * * [simplify]: Extracting # 0 : cost 0 8.473 * * [simplify]: Extracting # 1 : cost 0 8.475 * * [simplify]: Extracting # 2 : cost 0 8.477 * * [simplify]: Extracting # 3 : cost 0 8.479 * * [simplify]: Extracting # 4 : cost 0 8.480 * * [simplify]: iteration 1 : 1320 enodes (cost 7629 ) 9.133 * * [simplify]: Extracting # 0 : cost 0 9.137 * * [simplify]: Extracting # 1 : cost 0 9.144 * * [simplify]: Extracting # 2 : cost 0 9.151 * * [simplify]: Extracting # 3 : cost 0 9.157 * * [simplify]: Extracting # 4 : cost 0 9.164 * * [simplify]: Extracting # 5 : cost 0 9.172 * * [simplify]: iteration 2 : 3045 enodes (cost 7052 ) 10.358 * * [simplify]: Extracting # 0 : cost 0 10.364 * * [simplify]: Extracting # 1 : cost 0 10.374 * * [simplify]: Extracting # 2 : cost 0 10.384 * * [simplify]: Extracting # 3 : cost 0 10.390 * * [simplify]: Extracting # 4 : cost 0 10.395 * * [simplify]: iteration done: 5001 enodes (cost 6884 ) 10.399 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* n (* 2.0 PI)) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ 1 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1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ 1.0 (fabs (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ 1.0 (sqrt (fabs (cbrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1 (pow (sqrt (sqrt (sqrt k))) 3)) 1.0 (/ 1 (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1 (pow (sqrt (sqrt (sqrt k))) 3)) 1.0 (/ 1 (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1 (pow (sqrt (sqrt (sqrt k))) 3)) 1.0 (/ 1 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ (sqrt k) 1.0) (/ (/ 1.0 (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (fabs (cbrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (cbrt (/ 1.0 (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (sqrt (/ 1.0 (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (pow (sqrt (sqrt (sqrt k))) 3) (cbrt 1.0)) (/ (sqrt k) (cbrt 1.0)) (/ (pow (sqrt (sqrt (sqrt k))) 3) (cbrt 1.0)) (/ (sqrt k) (cbrt 1.0)) (/ (pow (sqrt (sqrt (sqrt k))) 3) (cbrt 1.0)) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (pow (sqrt (sqrt (sqrt k))) 3) (sqrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (pow (sqrt (sqrt (sqrt k))) 3) (sqrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (pow (sqrt (sqrt (sqrt k))) 3) (sqrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt (sqrt k)) (/ 1.0 (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt (cbrt k))))) (/ (pow (sqrt (sqrt (sqrt k))) 3) 1.0) (/ (sqrt k) 1.0) (/ (pow (sqrt (sqrt (sqrt k))) 3) 1.0) (/ (sqrt k) 1.0) (/ (pow (sqrt (sqrt (sqrt k))) 3) 1.0) (/ (sqrt k) 1.0) (/ (sqrt k) 1.0) (sqrt k) (sqrt k) (log (/ 1.0 (sqrt (sqrt k)))) (log (/ 1.0 (sqrt (sqrt k)))) (exp (/ 1.0 (sqrt (sqrt k)))) (pow (/ 1.0 (sqrt (sqrt k))) 3) (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (cbrt (/ 1.0 (sqrt (sqrt k)))) (pow (/ 1.0 (sqrt (sqrt k))) 3) (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k)))) (- 1.0) (- (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (fabs (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1.0 (cbrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ 1.0 (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ 1.0 (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) 1.0) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ 1.0 (fabs (cbrt (sqrt k)))) (/ 1.0 (sqrt (fabs (cbrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1.0 (/ 1.0 (sqrt (sqrt (sqrt k)))) 1.0 (/ 1.0 (sqrt (sqrt (sqrt k)))) 1.0 (/ (sqrt (sqrt k)) (cbrt 1.0)) (/ (sqrt (sqrt k)) (sqrt 1.0)) (/ (sqrt (sqrt k)) 1.0) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (log (* n (* 2.0 PI))) (log (* n (* 2.0 PI))) (log (* n (* 2.0 PI))) (exp (* (* 2.0 PI) n)) (pow (* n (* 2.0 PI)) 3) (pow (* n (* 2.0 PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* n (* 2.0 PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* n PI) (+ (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (* n (* 2.0 PI)) 0.5)) (* (pow (log n) 2) (pow (* n (* 2.0 PI)) 0.5)))) (- (+ (pow (* n (* 2.0 PI)) 0.5) (* (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* n (* 2.0 PI)) 0.5) (log n)))) (* (* 0.5 k) (+ (* (pow (* n (* 2.0 PI)) 0.5) (log (* 2.0 PI))) (* (pow (* n (* 2.0 PI)) 0.5) (log n)))))) (pow (pow (* n (* 2.0 PI)) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (- (* +nan.0 k) (- (* +nan.0 (pow k 2)) +nan.0))) (+ (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ (- +nan.0) (pow k 2))) (- (- (/ +nan.0 (pow k 2)) (- (/ +nan.0 k) +nan.0))) (* 1.0 (pow (/ 1 k) 1/4)) (* 1.0 (pow (/ 1 k) 1/4)) (+ (- (* 1.0 (sqrt +nan.0)) (/ +nan.0 (* (sqrt +nan.0) (pow k 2)))) (- (/ +nan.0 (* (sqrt +nan.0) k)) (/ +nan.0 (* (pow (sqrt +nan.0) 3) (pow k 2))))) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (* n (* 2.0 PI)) 10.411 * * * [progress]: adding candidates to table 11.506 * * [progress]: iteration 3 / 4 11.506 * * * [progress]: picking best candidate 11.573 * * * * [pick]: Picked # 11.573 * * * [progress]: localizing error 11.589 * * * [progress]: generating rewritten candidates 11.589 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 11.626 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 11.694 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 11.706 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 11.751 * * * [progress]: generating series expansions 11.751 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 11.752 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 11.752 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 11.752 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 11.752 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 11.752 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 11.752 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.752 * [taylor]: Taking taylor expansion of 0.5 in k 11.752 * [backup-simplify]: Simplify 0.5 into 0.5 11.752 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.752 * [taylor]: Taking taylor expansion of 1.0 in k 11.752 * [backup-simplify]: Simplify 1.0 into 1.0 11.753 * [taylor]: Taking taylor expansion of k in k 11.753 * [backup-simplify]: Simplify 0 into 0 11.753 * [backup-simplify]: Simplify 1 into 1 11.753 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 11.753 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 11.753 * [taylor]: Taking taylor expansion of 2.0 in k 11.753 * [backup-simplify]: Simplify 2.0 into 2.0 11.753 * [taylor]: Taking taylor expansion of (* n PI) in k 11.753 * [taylor]: Taking taylor expansion of n in k 11.753 * [backup-simplify]: Simplify n into n 11.753 * [taylor]: Taking taylor expansion of PI in k 11.753 * [backup-simplify]: Simplify PI into PI 11.753 * [backup-simplify]: Simplify (* n PI) into (* n PI) 11.753 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 11.753 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 11.754 * [backup-simplify]: Simplify (- 0) into 0 11.754 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.755 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.755 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 11.755 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 11.755 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 11.755 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 11.755 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 11.755 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 11.755 * [taylor]: Taking taylor expansion of 0.5 in n 11.755 * [backup-simplify]: Simplify 0.5 into 0.5 11.755 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.755 * [taylor]: Taking taylor expansion of 1.0 in n 11.755 * [backup-simplify]: Simplify 1.0 into 1.0 11.755 * [taylor]: Taking taylor expansion of k in n 11.755 * [backup-simplify]: Simplify k into k 11.755 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 11.755 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 11.755 * [taylor]: Taking taylor expansion of 2.0 in n 11.755 * [backup-simplify]: Simplify 2.0 into 2.0 11.755 * [taylor]: Taking taylor expansion of (* n PI) in n 11.755 * [taylor]: Taking taylor expansion of n in n 11.756 * [backup-simplify]: Simplify 0 into 0 11.756 * [backup-simplify]: Simplify 1 into 1 11.756 * [taylor]: Taking taylor expansion of PI in n 11.756 * [backup-simplify]: Simplify PI into PI 11.756 * [backup-simplify]: Simplify (* 0 PI) into 0 11.757 * [backup-simplify]: Simplify (* 2.0 0) into 0 11.759 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 11.760 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 11.762 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.762 * [backup-simplify]: Simplify (- k) into (- k) 11.762 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.762 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 11.763 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 11.765 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 11.766 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 11.766 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 11.766 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 11.766 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 11.766 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 11.766 * [taylor]: Taking taylor expansion of 0.5 in n 11.766 * [backup-simplify]: Simplify 0.5 into 0.5 11.766 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.766 * [taylor]: Taking taylor expansion of 1.0 in n 11.766 * [backup-simplify]: Simplify 1.0 into 1.0 11.766 * [taylor]: Taking taylor expansion of k in n 11.766 * [backup-simplify]: Simplify k into k 11.766 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 11.766 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 11.766 * [taylor]: Taking taylor expansion of 2.0 in n 11.766 * [backup-simplify]: Simplify 2.0 into 2.0 11.766 * [taylor]: Taking taylor expansion of (* n PI) in n 11.767 * [taylor]: Taking taylor expansion of n in n 11.767 * [backup-simplify]: Simplify 0 into 0 11.767 * [backup-simplify]: Simplify 1 into 1 11.767 * [taylor]: Taking taylor expansion of PI in n 11.767 * [backup-simplify]: Simplify PI into PI 11.767 * [backup-simplify]: Simplify (* 0 PI) into 0 11.768 * [backup-simplify]: Simplify (* 2.0 0) into 0 11.769 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 11.771 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 11.772 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.772 * [backup-simplify]: Simplify (- k) into (- k) 11.772 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.772 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 11.773 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 11.774 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 11.775 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 11.775 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 11.775 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 11.775 * [taylor]: Taking taylor expansion of 0.5 in k 11.775 * [backup-simplify]: Simplify 0.5 into 0.5 11.775 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 11.775 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.775 * [taylor]: Taking taylor expansion of 1.0 in k 11.775 * [backup-simplify]: Simplify 1.0 into 1.0 11.775 * [taylor]: Taking taylor expansion of k in k 11.775 * [backup-simplify]: Simplify 0 into 0 11.775 * [backup-simplify]: Simplify 1 into 1 11.775 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 11.775 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 11.775 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 11.775 * [taylor]: Taking taylor expansion of 2.0 in k 11.775 * [backup-simplify]: Simplify 2.0 into 2.0 11.775 * [taylor]: Taking taylor expansion of PI in k 11.775 * [backup-simplify]: Simplify PI into PI 11.776 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.776 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.776 * [taylor]: Taking taylor expansion of (log n) in k 11.776 * [taylor]: Taking taylor expansion of n in k 11.776 * [backup-simplify]: Simplify n into n 11.776 * [backup-simplify]: Simplify (log n) into (log n) 11.777 * [backup-simplify]: Simplify (- 0) into 0 11.777 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.778 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 11.778 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 11.779 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 11.780 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 11.781 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 11.781 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 11.782 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 11.783 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 11.783 * [backup-simplify]: Simplify (- 0) into 0 11.783 * [backup-simplify]: Simplify (+ 0 0) into 0 11.784 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 11.784 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 11.785 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 11.786 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.786 * [taylor]: Taking taylor expansion of 0 in k 11.786 * [backup-simplify]: Simplify 0 into 0 11.786 * [backup-simplify]: Simplify 0 into 0 11.787 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 11.788 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 11.788 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 11.789 * [backup-simplify]: Simplify (+ 0 0) into 0 11.789 * [backup-simplify]: Simplify (- 1) into -1 11.789 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.790 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 11.791 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 11.793 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 11.795 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 11.796 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 11.797 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 11.798 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 11.799 * [backup-simplify]: Simplify (- 0) into 0 11.799 * [backup-simplify]: Simplify (+ 0 0) into 0 11.799 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 11.800 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 11.802 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 11.805 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.805 * [taylor]: Taking taylor expansion of 0 in k 11.805 * [backup-simplify]: Simplify 0 into 0 11.805 * [backup-simplify]: Simplify 0 into 0 11.805 * [backup-simplify]: Simplify 0 into 0 11.806 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 11.809 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 11.811 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 11.812 * [backup-simplify]: Simplify (+ 0 0) into 0 11.812 * [backup-simplify]: Simplify (- 0) into 0 11.812 * [backup-simplify]: Simplify (+ 0 0) into 0 11.813 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 11.815 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 11.817 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 11.821 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 11.827 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 11.827 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) 11.827 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 11.827 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 11.827 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 11.827 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 11.827 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.827 * [taylor]: Taking taylor expansion of 0.5 in k 11.828 * [backup-simplify]: Simplify 0.5 into 0.5 11.828 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.828 * [taylor]: Taking taylor expansion of 1.0 in k 11.828 * [backup-simplify]: Simplify 1.0 into 1.0 11.828 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.828 * [taylor]: Taking taylor expansion of k in k 11.828 * [backup-simplify]: Simplify 0 into 0 11.828 * [backup-simplify]: Simplify 1 into 1 11.828 * [backup-simplify]: Simplify (/ 1 1) into 1 11.828 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 11.828 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 11.828 * [taylor]: Taking taylor expansion of 2.0 in k 11.828 * [backup-simplify]: Simplify 2.0 into 2.0 11.828 * [taylor]: Taking taylor expansion of (/ PI n) in k 11.828 * [taylor]: Taking taylor expansion of PI in k 11.828 * [backup-simplify]: Simplify PI into PI 11.828 * [taylor]: Taking taylor expansion of n in k 11.828 * [backup-simplify]: Simplify n into n 11.828 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 11.828 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 11.828 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 11.828 * [backup-simplify]: Simplify (- 1) into -1 11.829 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.829 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.829 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 11.829 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 11.829 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 11.829 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 11.829 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 11.829 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 11.829 * [taylor]: Taking taylor expansion of 0.5 in n 11.829 * [backup-simplify]: Simplify 0.5 into 0.5 11.829 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 11.829 * [taylor]: Taking taylor expansion of 1.0 in n 11.829 * [backup-simplify]: Simplify 1.0 into 1.0 11.829 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.829 * [taylor]: Taking taylor expansion of k in n 11.830 * [backup-simplify]: Simplify k into k 11.830 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.830 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 11.830 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 11.830 * [taylor]: Taking taylor expansion of 2.0 in n 11.830 * [backup-simplify]: Simplify 2.0 into 2.0 11.830 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.830 * [taylor]: Taking taylor expansion of PI in n 11.830 * [backup-simplify]: Simplify PI into PI 11.830 * [taylor]: Taking taylor expansion of n in n 11.830 * [backup-simplify]: Simplify 0 into 0 11.830 * [backup-simplify]: Simplify 1 into 1 11.830 * [backup-simplify]: Simplify (/ PI 1) into PI 11.830 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.831 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.831 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 11.831 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 11.831 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 11.832 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 11.833 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 11.834 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 11.834 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 11.834 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 11.834 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 11.834 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 11.834 * [taylor]: Taking taylor expansion of 0.5 in n 11.834 * [backup-simplify]: Simplify 0.5 into 0.5 11.834 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 11.834 * [taylor]: Taking taylor expansion of 1.0 in n 11.834 * [backup-simplify]: Simplify 1.0 into 1.0 11.834 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.834 * [taylor]: Taking taylor expansion of k in n 11.834 * [backup-simplify]: Simplify k into k 11.834 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.834 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 11.834 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 11.834 * [taylor]: Taking taylor expansion of 2.0 in n 11.834 * [backup-simplify]: Simplify 2.0 into 2.0 11.834 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.834 * [taylor]: Taking taylor expansion of PI in n 11.834 * [backup-simplify]: Simplify PI into PI 11.834 * [taylor]: Taking taylor expansion of n in n 11.834 * [backup-simplify]: Simplify 0 into 0 11.834 * [backup-simplify]: Simplify 1 into 1 11.834 * [backup-simplify]: Simplify (/ PI 1) into PI 11.835 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.835 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.835 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 11.835 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 11.835 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 11.836 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 11.837 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 11.838 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 11.838 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 11.838 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 11.838 * [taylor]: Taking taylor expansion of 0.5 in k 11.838 * [backup-simplify]: Simplify 0.5 into 0.5 11.838 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 11.838 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 11.838 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 11.838 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 11.838 * [taylor]: Taking taylor expansion of 2.0 in k 11.838 * [backup-simplify]: Simplify 2.0 into 2.0 11.838 * [taylor]: Taking taylor expansion of PI in k 11.838 * [backup-simplify]: Simplify PI into PI 11.838 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.839 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.839 * [taylor]: Taking taylor expansion of (log n) in k 11.839 * [taylor]: Taking taylor expansion of n in k 11.839 * [backup-simplify]: Simplify n into n 11.839 * [backup-simplify]: Simplify (log n) into (log n) 11.839 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.839 * [taylor]: Taking taylor expansion of 1.0 in k 11.839 * [backup-simplify]: Simplify 1.0 into 1.0 11.839 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.839 * [taylor]: Taking taylor expansion of k in k 11.839 * [backup-simplify]: Simplify 0 into 0 11.839 * [backup-simplify]: Simplify 1 into 1 11.840 * [backup-simplify]: Simplify (/ 1 1) into 1 11.840 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 11.840 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 11.841 * [backup-simplify]: Simplify (- 1) into -1 11.841 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.842 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 11.843 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 11.845 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 11.846 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 11.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.848 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 11.849 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 11.850 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 11.850 * [backup-simplify]: Simplify (- 0) into 0 11.850 * [backup-simplify]: Simplify (+ 0 0) into 0 11.851 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 11.853 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 11.854 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 11.856 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.856 * [taylor]: Taking taylor expansion of 0 in k 11.856 * [backup-simplify]: Simplify 0 into 0 11.856 * [backup-simplify]: Simplify 0 into 0 11.856 * [backup-simplify]: Simplify 0 into 0 11.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.858 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 11.867 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 11.868 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.868 * [backup-simplify]: Simplify (- 0) into 0 11.869 * [backup-simplify]: Simplify (+ 0 0) into 0 11.869 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 11.870 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 11.871 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 11.872 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.873 * [taylor]: Taking taylor expansion of 0 in k 11.873 * [backup-simplify]: Simplify 0 into 0 11.873 * [backup-simplify]: Simplify 0 into 0 11.873 * [backup-simplify]: Simplify 0 into 0 11.873 * [backup-simplify]: Simplify 0 into 0 11.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.875 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.878 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 11.878 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.878 * [backup-simplify]: Simplify (- 0) into 0 11.878 * [backup-simplify]: Simplify (+ 0 0) into 0 11.879 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 11.880 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 11.881 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 11.883 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.883 * [taylor]: Taking taylor expansion of 0 in k 11.883 * [backup-simplify]: Simplify 0 into 0 11.883 * [backup-simplify]: Simplify 0 into 0 11.884 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 11.884 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) 11.884 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 11.884 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 11.884 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 11.884 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 11.884 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.884 * [taylor]: Taking taylor expansion of 0.5 in k 11.885 * [backup-simplify]: Simplify 0.5 into 0.5 11.885 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.885 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.885 * [taylor]: Taking taylor expansion of k in k 11.885 * [backup-simplify]: Simplify 0 into 0 11.885 * [backup-simplify]: Simplify 1 into 1 11.885 * [backup-simplify]: Simplify (/ 1 1) into 1 11.885 * [taylor]: Taking taylor expansion of 1.0 in k 11.885 * [backup-simplify]: Simplify 1.0 into 1.0 11.885 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 11.885 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 11.885 * [taylor]: Taking taylor expansion of -2.0 in k 11.885 * [backup-simplify]: Simplify -2.0 into -2.0 11.885 * [taylor]: Taking taylor expansion of (/ PI n) in k 11.885 * [taylor]: Taking taylor expansion of PI in k 11.885 * [backup-simplify]: Simplify PI into PI 11.885 * [taylor]: Taking taylor expansion of n in k 11.885 * [backup-simplify]: Simplify n into n 11.885 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 11.886 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 11.886 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 11.886 * [backup-simplify]: Simplify (+ 1 0) into 1 11.887 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.887 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 11.887 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 11.887 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 11.887 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 11.887 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 11.887 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 11.887 * [taylor]: Taking taylor expansion of 0.5 in n 11.887 * [backup-simplify]: Simplify 0.5 into 0.5 11.887 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 11.887 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.887 * [taylor]: Taking taylor expansion of k in n 11.887 * [backup-simplify]: Simplify k into k 11.887 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.887 * [taylor]: Taking taylor expansion of 1.0 in n 11.887 * [backup-simplify]: Simplify 1.0 into 1.0 11.887 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 11.888 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 11.888 * [taylor]: Taking taylor expansion of -2.0 in n 11.888 * [backup-simplify]: Simplify -2.0 into -2.0 11.888 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.888 * [taylor]: Taking taylor expansion of PI in n 11.888 * [backup-simplify]: Simplify PI into PI 11.888 * [taylor]: Taking taylor expansion of n in n 11.888 * [backup-simplify]: Simplify 0 into 0 11.888 * [backup-simplify]: Simplify 1 into 1 11.888 * [backup-simplify]: Simplify (/ PI 1) into PI 11.889 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 11.890 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 11.890 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 11.890 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 11.892 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 11.893 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 11.894 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 11.894 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 11.894 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 11.894 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 11.894 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 11.894 * [taylor]: Taking taylor expansion of 0.5 in n 11.894 * [backup-simplify]: Simplify 0.5 into 0.5 11.894 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 11.894 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.894 * [taylor]: Taking taylor expansion of k in n 11.894 * [backup-simplify]: Simplify k into k 11.894 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.894 * [taylor]: Taking taylor expansion of 1.0 in n 11.894 * [backup-simplify]: Simplify 1.0 into 1.0 11.894 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 11.894 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 11.894 * [taylor]: Taking taylor expansion of -2.0 in n 11.894 * [backup-simplify]: Simplify -2.0 into -2.0 11.894 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.894 * [taylor]: Taking taylor expansion of PI in n 11.894 * [backup-simplify]: Simplify PI into PI 11.894 * [taylor]: Taking taylor expansion of n in n 11.895 * [backup-simplify]: Simplify 0 into 0 11.895 * [backup-simplify]: Simplify 1 into 1 11.895 * [backup-simplify]: Simplify (/ PI 1) into PI 11.895 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 11.896 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 11.897 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 11.897 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 11.898 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 11.899 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 11.900 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 11.901 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 11.901 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 11.901 * [taylor]: Taking taylor expansion of 0.5 in k 11.901 * [backup-simplify]: Simplify 0.5 into 0.5 11.901 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 11.901 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.901 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.901 * [taylor]: Taking taylor expansion of k in k 11.901 * [backup-simplify]: Simplify 0 into 0 11.901 * [backup-simplify]: Simplify 1 into 1 11.901 * [backup-simplify]: Simplify (/ 1 1) into 1 11.901 * [taylor]: Taking taylor expansion of 1.0 in k 11.901 * [backup-simplify]: Simplify 1.0 into 1.0 11.901 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 11.901 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 11.901 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 11.901 * [taylor]: Taking taylor expansion of -2.0 in k 11.901 * [backup-simplify]: Simplify -2.0 into -2.0 11.901 * [taylor]: Taking taylor expansion of PI in k 11.901 * [backup-simplify]: Simplify PI into PI 11.902 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 11.903 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 11.903 * [taylor]: Taking taylor expansion of (log n) in k 11.903 * [taylor]: Taking taylor expansion of n in k 11.903 * [backup-simplify]: Simplify n into n 11.903 * [backup-simplify]: Simplify (log n) into (log n) 11.904 * [backup-simplify]: Simplify (+ 1 0) into 1 11.904 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 11.905 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 11.906 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 11.907 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 11.908 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 11.909 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 11.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.911 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 11.913 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 11.913 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 11.913 * [backup-simplify]: Simplify (+ 0 0) into 0 11.914 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 11.915 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 11.917 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 11.919 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.919 * [taylor]: Taking taylor expansion of 0 in k 11.919 * [backup-simplify]: Simplify 0 into 0 11.919 * [backup-simplify]: Simplify 0 into 0 11.919 * [backup-simplify]: Simplify 0 into 0 11.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.921 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 11.925 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 11.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.926 * [backup-simplify]: Simplify (+ 0 0) into 0 11.927 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 11.928 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 11.930 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 11.932 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.932 * [taylor]: Taking taylor expansion of 0 in k 11.932 * [backup-simplify]: Simplify 0 into 0 11.932 * [backup-simplify]: Simplify 0 into 0 11.932 * [backup-simplify]: Simplify 0 into 0 11.932 * [backup-simplify]: Simplify 0 into 0 11.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.935 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.941 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 11.941 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.942 * [backup-simplify]: Simplify (+ 0 0) into 0 11.943 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 11.945 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 11.947 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 11.949 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.949 * [taylor]: Taking taylor expansion of 0 in k 11.950 * [backup-simplify]: Simplify 0 into 0 11.950 * [backup-simplify]: Simplify 0 into 0 11.951 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 11.951 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 11.951 * [backup-simplify]: Simplify (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) into (* (sqrt (/ 1 k)) (pow (sqrt 1.0) 2)) 11.951 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (sqrt 1.0) 2)) in (k) around 0 11.951 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (sqrt 1.0) 2)) in k 11.952 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 11.952 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.952 * [taylor]: Taking taylor expansion of k in k 11.952 * [backup-simplify]: Simplify 0 into 0 11.952 * [backup-simplify]: Simplify 1 into 1 11.952 * [backup-simplify]: Simplify (/ 1 1) into 1 11.953 * [backup-simplify]: Simplify (sqrt 0) into 0 11.954 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.954 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 11.954 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 11.954 * [taylor]: Taking taylor expansion of 1.0 in k 11.954 * [backup-simplify]: Simplify 1.0 into 1.0 11.955 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 11.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 11.955 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (sqrt 1.0) 2)) in k 11.955 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 11.955 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.956 * [taylor]: Taking taylor expansion of k in k 11.956 * [backup-simplify]: Simplify 0 into 0 11.956 * [backup-simplify]: Simplify 1 into 1 11.956 * [backup-simplify]: Simplify (/ 1 1) into 1 11.956 * [backup-simplify]: Simplify (sqrt 0) into 0 11.958 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.958 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 11.958 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 11.958 * [taylor]: Taking taylor expansion of 1.0 in k 11.958 * [backup-simplify]: Simplify 1.0 into 1.0 11.958 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 11.959 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 11.960 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 11.961 * [backup-simplify]: Simplify (* 0 (pow (sqrt 1.0) 2)) into 0 11.961 * [backup-simplify]: Simplify 0 into 0 11.962 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 11.965 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 11.967 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 11.968 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 11.969 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 11.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.973 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.979 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (pow (sqrt 1.0) 2)))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 11.981 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 11.983 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 11.984 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0))))) into 0 11.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.989 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.995 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (pow (sqrt 1.0) 2))))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 11.998 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 12.015 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (pow k 2)) (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) k) (- (* +nan.0 (pow (sqrt 1.0) 2))))) into (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- (+ (* +nan.0 (* k (pow (sqrt 1.0) 2))) (- (* +nan.0 (* (pow k 2) (pow (sqrt 1.0) 2)))))))) 12.016 * [backup-simplify]: Simplify (* (sqrt (/ 1.0 (sqrt (/ 1 k)))) (sqrt (/ 1.0 (sqrt (/ 1 k))))) into (* (sqrt k) (pow (sqrt 1.0) 2)) 12.016 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (sqrt 1.0) 2)) in (k) around 0 12.016 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (sqrt 1.0) 2)) in k 12.016 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.016 * [taylor]: Taking taylor expansion of k in k 12.016 * [backup-simplify]: Simplify 0 into 0 12.016 * [backup-simplify]: Simplify 1 into 1 12.016 * [backup-simplify]: Simplify (sqrt 0) into 0 12.018 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.018 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 12.018 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 12.018 * [taylor]: Taking taylor expansion of 1.0 in k 12.018 * [backup-simplify]: Simplify 1.0 into 1.0 12.018 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 12.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 12.019 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (sqrt 1.0) 2)) in k 12.019 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.019 * [taylor]: Taking taylor expansion of k in k 12.019 * [backup-simplify]: Simplify 0 into 0 12.019 * [backup-simplify]: Simplify 1 into 1 12.019 * [backup-simplify]: Simplify (sqrt 0) into 0 12.021 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.021 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 12.021 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 12.021 * [taylor]: Taking taylor expansion of 1.0 in k 12.021 * [backup-simplify]: Simplify 1.0 into 1.0 12.021 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 12.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 12.023 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 12.024 * [backup-simplify]: Simplify (* 0 (pow (sqrt 1.0) 2)) into 0 12.024 * [backup-simplify]: Simplify 0 into 0 12.025 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 12.028 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 12.031 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 12.032 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 12.033 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 12.036 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.041 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (pow (sqrt 1.0) 2)))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 12.043 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 12.045 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 12.046 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0))))) into 0 12.049 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.056 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (pow (sqrt 1.0) 2))))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 12.057 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 12.062 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow k 3))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow k 2))) (- (* +nan.0 (/ (pow (sqrt 1.0) 2) k))))))) 12.062 * [backup-simplify]: Simplify (* (sqrt (/ 1.0 (sqrt (/ 1 (- k))))) (sqrt (/ 1.0 (sqrt (/ 1 (- k)))))) into (/ (pow (sqrt 1.0) 2) (sqrt (/ -1 k))) 12.062 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (sqrt (/ -1 k))) in (k) around 0 12.062 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (sqrt (/ -1 k))) in k 12.062 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 12.062 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 12.062 * [taylor]: Taking taylor expansion of 1.0 in k 12.062 * [backup-simplify]: Simplify 1.0 into 1.0 12.063 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 12.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 12.063 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.063 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.063 * [taylor]: Taking taylor expansion of -1 in k 12.063 * [backup-simplify]: Simplify -1 into -1 12.063 * [taylor]: Taking taylor expansion of k in k 12.063 * [backup-simplify]: Simplify 0 into 0 12.063 * [backup-simplify]: Simplify 1 into 1 12.064 * [backup-simplify]: Simplify (/ -1 1) into -1 12.064 * [backup-simplify]: Simplify (sqrt 0) into 0 12.065 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.065 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 12.066 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) +nan.0) into (* +nan.0 (pow (sqrt 1.0) 2)) 12.066 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (sqrt (/ -1 k))) in k 12.066 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 12.066 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 12.066 * [taylor]: Taking taylor expansion of 1.0 in k 12.066 * [backup-simplify]: Simplify 1.0 into 1.0 12.067 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 12.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 12.067 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.067 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.067 * [taylor]: Taking taylor expansion of -1 in k 12.067 * [backup-simplify]: Simplify -1 into -1 12.067 * [taylor]: Taking taylor expansion of k in k 12.067 * [backup-simplify]: Simplify 0 into 0 12.067 * [backup-simplify]: Simplify 1 into 1 12.067 * [backup-simplify]: Simplify (/ -1 1) into -1 12.068 * [backup-simplify]: Simplify (sqrt 0) into 0 12.068 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.069 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 12.070 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) +nan.0) into (* +nan.0 (pow (sqrt 1.0) 2)) 12.071 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 1.0) 2)) into (* +nan.0 (pow (sqrt 1.0) 2)) 12.072 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 12.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.074 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.078 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (pow (sqrt 1.0) 2)) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 12.080 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 12.080 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 12.081 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 12.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.084 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.090 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (pow (sqrt 1.0) 2)) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 12.092 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 12.096 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (/ 1 (- k))) (* +nan.0 (pow (sqrt 1.0) 2)))) into (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow k 2))) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- (* +nan.0 (/ (pow (sqrt 1.0) 2) k))))))) 12.096 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 12.096 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 12.096 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 12.096 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 12.096 * [taylor]: Taking taylor expansion of 1.0 in k 12.096 * [backup-simplify]: Simplify 1.0 into 1.0 12.096 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 12.096 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.096 * [taylor]: Taking taylor expansion of k in k 12.096 * [backup-simplify]: Simplify 0 into 0 12.096 * [backup-simplify]: Simplify 1 into 1 12.097 * [backup-simplify]: Simplify (/ 1 1) into 1 12.097 * [backup-simplify]: Simplify (sqrt 0) into 0 12.098 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.098 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 12.098 * [taylor]: Taking taylor expansion of 1.0 in k 12.098 * [backup-simplify]: Simplify 1.0 into 1.0 12.098 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 12.098 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.098 * [taylor]: Taking taylor expansion of k in k 12.098 * [backup-simplify]: Simplify 0 into 0 12.098 * [backup-simplify]: Simplify 1 into 1 12.098 * [backup-simplify]: Simplify (/ 1 1) into 1 12.098 * [backup-simplify]: Simplify (sqrt 0) into 0 12.099 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.099 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.099 * [backup-simplify]: Simplify 0 into 0 12.100 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 12.101 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.103 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.104 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 12.104 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.107 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.108 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 12.108 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.109 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 12.109 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 12.109 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 12.109 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 12.109 * [taylor]: Taking taylor expansion of 1.0 in k 12.109 * [backup-simplify]: Simplify 1.0 into 1.0 12.109 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.109 * [taylor]: Taking taylor expansion of k in k 12.110 * [backup-simplify]: Simplify 0 into 0 12.110 * [backup-simplify]: Simplify 1 into 1 12.110 * [backup-simplify]: Simplify (sqrt 0) into 0 12.111 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.111 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 12.111 * [taylor]: Taking taylor expansion of 1.0 in k 12.111 * [backup-simplify]: Simplify 1.0 into 1.0 12.111 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.111 * [taylor]: Taking taylor expansion of k in k 12.111 * [backup-simplify]: Simplify 0 into 0 12.111 * [backup-simplify]: Simplify 1 into 1 12.111 * [backup-simplify]: Simplify (sqrt 0) into 0 12.112 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.112 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.112 * [backup-simplify]: Simplify 0 into 0 12.120 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 12.120 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.123 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.126 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 12.126 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.130 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.132 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 12.133 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.134 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 12.134 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 12.134 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 12.134 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 12.134 * [taylor]: Taking taylor expansion of 1.0 in k 12.134 * [backup-simplify]: Simplify 1.0 into 1.0 12.134 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.134 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.134 * [taylor]: Taking taylor expansion of -1 in k 12.134 * [backup-simplify]: Simplify -1 into -1 12.134 * [taylor]: Taking taylor expansion of k in k 12.134 * [backup-simplify]: Simplify 0 into 0 12.134 * [backup-simplify]: Simplify 1 into 1 12.134 * [backup-simplify]: Simplify (/ -1 1) into -1 12.135 * [backup-simplify]: Simplify (sqrt 0) into 0 12.135 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.136 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 12.136 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 12.136 * [taylor]: Taking taylor expansion of 1.0 in k 12.136 * [backup-simplify]: Simplify 1.0 into 1.0 12.136 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.136 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.136 * [taylor]: Taking taylor expansion of -1 in k 12.136 * [backup-simplify]: Simplify -1 into -1 12.136 * [taylor]: Taking taylor expansion of k in k 12.136 * [backup-simplify]: Simplify 0 into 0 12.136 * [backup-simplify]: Simplify 1 into 1 12.136 * [backup-simplify]: Simplify (/ -1 1) into -1 12.136 * [backup-simplify]: Simplify (sqrt 0) into 0 12.137 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.137 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 12.137 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.140 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.141 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 12.141 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.144 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.147 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 12.147 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.148 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 12.148 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 12.148 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 12.148 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 12.148 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 12.148 * [taylor]: Taking taylor expansion of 1.0 in k 12.148 * [backup-simplify]: Simplify 1.0 into 1.0 12.148 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 12.148 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.148 * [taylor]: Taking taylor expansion of k in k 12.148 * [backup-simplify]: Simplify 0 into 0 12.148 * [backup-simplify]: Simplify 1 into 1 12.148 * [backup-simplify]: Simplify (/ 1 1) into 1 12.149 * [backup-simplify]: Simplify (sqrt 0) into 0 12.149 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.149 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 12.149 * [taylor]: Taking taylor expansion of 1.0 in k 12.149 * [backup-simplify]: Simplify 1.0 into 1.0 12.149 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 12.149 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.149 * [taylor]: Taking taylor expansion of k in k 12.149 * [backup-simplify]: Simplify 0 into 0 12.149 * [backup-simplify]: Simplify 1 into 1 12.150 * [backup-simplify]: Simplify (/ 1 1) into 1 12.150 * [backup-simplify]: Simplify (sqrt 0) into 0 12.151 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.151 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.151 * [backup-simplify]: Simplify 0 into 0 12.152 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 12.152 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.154 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.155 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 12.156 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.159 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.160 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 12.160 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.161 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 12.161 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 12.161 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 12.161 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 12.161 * [taylor]: Taking taylor expansion of 1.0 in k 12.161 * [backup-simplify]: Simplify 1.0 into 1.0 12.161 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.161 * [taylor]: Taking taylor expansion of k in k 12.161 * [backup-simplify]: Simplify 0 into 0 12.161 * [backup-simplify]: Simplify 1 into 1 12.162 * [backup-simplify]: Simplify (sqrt 0) into 0 12.162 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.162 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 12.163 * [taylor]: Taking taylor expansion of 1.0 in k 12.163 * [backup-simplify]: Simplify 1.0 into 1.0 12.163 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.163 * [taylor]: Taking taylor expansion of k in k 12.163 * [backup-simplify]: Simplify 0 into 0 12.163 * [backup-simplify]: Simplify 1 into 1 12.163 * [backup-simplify]: Simplify (sqrt 0) into 0 12.164 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.164 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.164 * [backup-simplify]: Simplify 0 into 0 12.165 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 12.165 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.167 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.168 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 12.169 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.171 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.172 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 12.172 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.174 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 12.174 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 12.174 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 12.174 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 12.174 * [taylor]: Taking taylor expansion of 1.0 in k 12.174 * [backup-simplify]: Simplify 1.0 into 1.0 12.174 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.174 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.174 * [taylor]: Taking taylor expansion of -1 in k 12.174 * [backup-simplify]: Simplify -1 into -1 12.174 * [taylor]: Taking taylor expansion of k in k 12.174 * [backup-simplify]: Simplify 0 into 0 12.174 * [backup-simplify]: Simplify 1 into 1 12.174 * [backup-simplify]: Simplify (/ -1 1) into -1 12.175 * [backup-simplify]: Simplify (sqrt 0) into 0 12.176 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.176 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 12.176 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 12.176 * [taylor]: Taking taylor expansion of 1.0 in k 12.176 * [backup-simplify]: Simplify 1.0 into 1.0 12.176 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.176 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.176 * [taylor]: Taking taylor expansion of -1 in k 12.176 * [backup-simplify]: Simplify -1 into -1 12.176 * [taylor]: Taking taylor expansion of k in k 12.176 * [backup-simplify]: Simplify 0 into 0 12.176 * [backup-simplify]: Simplify 1 into 1 12.176 * [backup-simplify]: Simplify (/ -1 1) into -1 12.176 * [backup-simplify]: Simplify (sqrt 0) into 0 12.177 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.178 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 12.178 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.180 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.182 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 12.182 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.185 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.187 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 12.187 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.188 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 12.188 * * * [progress]: simplifying candidates 12.192 * [simplify]: Simplifying: (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (+ 1 1) (+ (log (sqrt (/ 1.0 (sqrt k)))) (log (sqrt (/ 1.0 (sqrt k))))) (log (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (exp (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (* (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ 1.0 (sqrt k))))) (* (cbrt (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (cbrt (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))))) (cbrt (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (* (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (sqrt (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (sqrt (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt (sqrt k)) (sqrt (sqrt k))) (* (* (cbrt (sqrt (/ 1.0 (sqrt k)))) (cbrt (sqrt (/ 1.0 (sqrt k))))) (* (cbrt (sqrt (/ 1.0 (sqrt k)))) (cbrt (sqrt (/ 1.0 (sqrt k)))))) (* (cbrt (sqrt (/ 1.0 (sqrt k)))) (cbrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k))))) (sqrt (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))))) (* (sqrt (cbrt (/ 1.0 (sqrt k)))) (sqrt (cbrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (cbrt 1.0) (cbrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (cbrt (sqrt k))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (cbrt 1.0) (sqrt (cbrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (cbrt k))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))))) (* (sqrt (/ (cbrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))))) (* (sqrt (/ (cbrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)))) (* (sqrt (/ (cbrt 1.0) (sqrt k))) (sqrt (/ (cbrt 1.0) (sqrt k)))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))))) (* (sqrt (/ (cbrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))))) (* (sqrt (/ (cbrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (* (sqrt (/ (cbrt 1.0) (sqrt k))) (sqrt (/ (cbrt 1.0) (sqrt k)))) (* (sqrt (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (sqrt 1.0) (cbrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (cbrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (sqrt 1.0) (sqrt (cbrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (cbrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt 1))) (sqrt (/ (sqrt 1.0) (sqrt 1)))) (* (sqrt (/ (sqrt 1.0) (sqrt k))) (sqrt (/ (sqrt 1.0) (sqrt k)))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) 1)) (sqrt (/ (sqrt 1.0) 1))) (* (sqrt (/ (sqrt 1.0) (sqrt k))) (sqrt (/ (sqrt 1.0) (sqrt k)))) (* (sqrt (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ 1.0 (cbrt (sqrt k)))) (sqrt (/ 1.0 (cbrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ 1 (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt (cbrt k)))) (sqrt (/ 1.0 (sqrt (cbrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k))))) (* (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k))))) (* (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt 1))) (sqrt (/ 1 (sqrt 1)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k))))) (* (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k))))) (* (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (sqrt (/ 1 1)) (sqrt (/ 1 1))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k)))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* 1 1) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (/ 1.0 (sqrt k))) (* (cbrt (sqrt (/ 1.0 (sqrt k)))) (cbrt (sqrt (/ 1.0 (sqrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))))) (* (sqrt 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(sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- (+ (* +nan.0 (* k (pow (sqrt 1.0) 2))) (- (* +nan.0 (* (pow k 2) (pow (sqrt 1.0) 2)))))))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow k 3))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow k 2))) (- (* +nan.0 (/ (pow (sqrt 1.0) 2) k))))))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow k 2))) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- (* +nan.0 (/ (pow (sqrt 1.0) 2) k))))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 12.198 * * [simplify]: Extracting # 0 : cost 0 12.198 * * [simplify]: Extracting # 1 : cost 0 12.199 * * [simplify]: Extracting # 2 : cost 0 12.200 * * [simplify]: Extracting # 3 : cost 0 12.201 * * [simplify]: Extracting # 4 : cost 0 12.202 * * [simplify]: Extracting # 5 : cost 0 12.203 * * [simplify]: Extracting # 6 : cost 0 12.204 * * [simplify]: Extracting # 7 : cost 0 12.206 * * [simplify]: Extracting # 8 : cost 0 12.207 * * [simplify]: Extracting # 9 : cost 0 12.208 * * [simplify]: Extracting # 10 : cost 0 12.209 * * [simplify]: Extracting # 11 : cost 0 12.210 * * [simplify]: Extracting # 12 : cost 0 12.222 * * [simplify]: iteration 0 : 360 enodes (cost 3916 ) 12.380 * * [simplify]: Extracting # 0 : cost 0 12.382 * * [simplify]: Extracting # 1 : cost 0 12.382 * * [simplify]: Extracting # 2 : cost 0 12.383 * * [simplify]: Extracting # 3 : cost 0 12.384 * * [simplify]: Extracting # 4 : cost 0 12.385 * * [simplify]: Extracting # 5 : cost 0 12.386 * * [simplify]: Extracting # 6 : cost 0 12.387 * * [simplify]: iteration 1 : 728 enodes (cost 2818 ) 12.740 * * [simplify]: Extracting # 0 : cost 0 12.744 * * [simplify]: Extracting # 1 : cost 0 12.750 * * [simplify]: Extracting # 2 : cost 0 12.755 * * [simplify]: Extracting # 3 : cost 0 12.767 * * [simplify]: Extracting # 4 : cost 0 12.772 * * [simplify]: Extracting # 5 : cost 0 12.777 * * [simplify]: iteration 2 : 2126 enodes (cost 2679 ) 13.652 * * [simplify]: Extracting # 0 : cost 0 13.663 * * [simplify]: Extracting # 1 : cost 0 13.676 * * [simplify]: Extracting # 2 : cost 0 13.687 * * [simplify]: Extracting # 3 : cost 0 13.709 * * [simplify]: Extracting # 4 : cost 0 13.720 * * [simplify]: Extracting # 5 : cost 0 13.728 * * [simplify]: iteration done: 5000 enodes (cost 2638 ) 13.730 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 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1.0 (sqrt k))) (sqrt (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1 (fabs (cbrt k))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1 (sqrt (sqrt k))))) (sqrt (/ 1.0 (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1 (sqrt (sqrt k))))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt 1.0)) (pow (sqrt (sqrt (/ 1.0 (sqrt k)))) 3) (sqrt (/ 1.0 (sqrt k))) (pow (cbrt (sqrt (/ 1.0 (sqrt k)))) (+ 3 1)) (* (sqrt (cbrt (/ 1.0 (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (pow (sqrt (sqrt (/ 1.0 (sqrt k)))) 3) (* (sqrt (/ (cbrt 1.0) (cbrt (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ (cbrt 1.0) (sqrt (cbrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ (cbrt 1.0) (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ (cbrt 1.0) (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ (cbrt 1.0) (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ (cbrt 1.0) (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ (sqrt 1.0) (cbrt (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ (sqrt 1.0) (sqrt (cbrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (cbrt (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt (cbrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (/ 1.0 (sqrt k)) (* (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k)) (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (pow (sqrt (sqrt (/ 1.0 (sqrt k)))) 3) (/ 1.0 (sqrt k)) (* (sqrt (/ 1.0 (sqrt k))) (sqrt 1.0)) (* (sqrt (/ 1.0 (sqrt k))) (sqrt 1.0)) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (/ (pow 1.0 3) k) (sqrt k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (/ (pow 1.0 3) k) (sqrt k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (+ (* 0.125 (* (* (pow (* (* 2.0 PI) n) 0.5) (pow k 2)) (+ (pow (log (* 2.0 PI)) 2) (pow (log n) 2)))) (- (+ (* (* 0.25 (pow k 2)) (* (log n) (* (pow (* (* 2.0 PI) n) 0.5) (log (* 2.0 PI))))) (pow (* (* 2.0 PI) n) 0.5)) (* 0.5 (* (* k (pow (* (* 2.0 PI) n) 0.5)) (log (* (* 2.0 PI) n)))))) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 1.0 (+ (- +nan.0) (* k (- +nan.0 (* +nan.0 k))))) (- (+ (* (/ 1.0 (pow k 2)) (- (/ +nan.0 k) +nan.0)) (/ (* +nan.0 1.0) k))) (- (* +nan.0 (- (/ 1.0 (pow k 2)) (- 1.0 (/ 1.0 k))))) (- (+ (* k (- +nan.0 (* +nan.0 k))) +nan.0)) (+ (/ (- +nan.0) (pow k 2)) (- (/ +nan.0 k) (/ +nan.0 (pow k 3)))) (+ (- (/ +nan.0 k) +nan.0) (/ (- +nan.0) (pow k 2))) (- (+ (* k (- +nan.0 (* +nan.0 k))) +nan.0)) (+ (/ (- +nan.0) (pow k 2)) (- (/ +nan.0 k) (/ +nan.0 (pow k 3)))) (+ (- (/ +nan.0 k) +nan.0) (/ (- +nan.0) (pow k 2))) 13.732 * * * [progress]: adding candidates to table 14.774 * * [progress]: iteration 4 / 4 14.774 * * * [progress]: picking best candidate 14.825 * * * * [pick]: Picked # 14.825 * * * [progress]: localizing error 14.855 * * * [progress]: generating rewritten candidates 14.855 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 14.881 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2 2 1) 14.882 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 2 1) 14.882 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 15.014 * * * [progress]: generating series expansions 15.014 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 15.015 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 15.015 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 15.015 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 15.015 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 15.015 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 15.015 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 15.015 * [taylor]: Taking taylor expansion of 0.5 in k 15.015 * [backup-simplify]: Simplify 0.5 into 0.5 15.015 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 15.015 * [taylor]: Taking taylor expansion of 1.0 in k 15.015 * [backup-simplify]: Simplify 1.0 into 1.0 15.016 * [taylor]: Taking taylor expansion of k in k 15.016 * [backup-simplify]: Simplify 0 into 0 15.016 * [backup-simplify]: Simplify 1 into 1 15.016 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 15.016 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 15.016 * [taylor]: Taking taylor expansion of 2.0 in k 15.016 * [backup-simplify]: Simplify 2.0 into 2.0 15.016 * [taylor]: Taking taylor expansion of (* n PI) in k 15.016 * [taylor]: Taking taylor expansion of n in k 15.016 * [backup-simplify]: Simplify n into n 15.016 * [taylor]: Taking taylor expansion of PI in k 15.016 * [backup-simplify]: Simplify PI into PI 15.016 * [backup-simplify]: Simplify (* n PI) into (* n PI) 15.016 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 15.016 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 15.017 * [backup-simplify]: Simplify (- 0) into 0 15.017 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.018 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 15.018 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 15.018 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 15.018 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 15.018 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 15.018 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 15.018 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 15.018 * [taylor]: Taking taylor expansion of 0.5 in n 15.018 * [backup-simplify]: Simplify 0.5 into 0.5 15.018 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 15.018 * [taylor]: Taking taylor expansion of 1.0 in n 15.018 * [backup-simplify]: Simplify 1.0 into 1.0 15.018 * [taylor]: Taking taylor expansion of k in n 15.018 * [backup-simplify]: Simplify k into k 15.018 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 15.018 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 15.018 * [taylor]: Taking taylor expansion of 2.0 in n 15.018 * [backup-simplify]: Simplify 2.0 into 2.0 15.018 * [taylor]: Taking taylor expansion of (* n PI) in n 15.019 * [taylor]: Taking taylor expansion of n in n 15.019 * [backup-simplify]: Simplify 0 into 0 15.019 * [backup-simplify]: Simplify 1 into 1 15.019 * [taylor]: Taking taylor expansion of PI in n 15.019 * [backup-simplify]: Simplify PI into PI 15.020 * [backup-simplify]: Simplify (* 0 PI) into 0 15.020 * [backup-simplify]: Simplify (* 2.0 0) into 0 15.022 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 15.023 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 15.025 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.025 * [backup-simplify]: Simplify (- k) into (- k) 15.025 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 15.025 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 15.027 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 15.028 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 15.030 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 15.030 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 15.030 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 15.030 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 15.030 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 15.030 * [taylor]: Taking taylor expansion of 0.5 in n 15.030 * [backup-simplify]: Simplify 0.5 into 0.5 15.030 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 15.030 * [taylor]: Taking taylor expansion of 1.0 in n 15.030 * [backup-simplify]: Simplify 1.0 into 1.0 15.030 * [taylor]: Taking taylor expansion of k in n 15.030 * [backup-simplify]: Simplify k into k 15.030 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 15.030 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 15.030 * [taylor]: Taking taylor expansion of 2.0 in n 15.030 * [backup-simplify]: Simplify 2.0 into 2.0 15.030 * [taylor]: Taking taylor expansion of (* n PI) in n 15.030 * [taylor]: Taking taylor expansion of n in n 15.030 * [backup-simplify]: Simplify 0 into 0 15.030 * [backup-simplify]: Simplify 1 into 1 15.030 * [taylor]: Taking taylor expansion of PI in n 15.030 * [backup-simplify]: Simplify PI into PI 15.031 * [backup-simplify]: Simplify (* 0 PI) into 0 15.031 * [backup-simplify]: Simplify (* 2.0 0) into 0 15.033 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 15.034 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 15.035 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.035 * [backup-simplify]: Simplify (- k) into (- k) 15.035 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 15.036 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 15.037 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 15.038 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 15.039 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 15.040 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 15.040 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 15.040 * [taylor]: Taking taylor expansion of 0.5 in k 15.040 * [backup-simplify]: Simplify 0.5 into 0.5 15.040 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 15.040 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 15.040 * [taylor]: Taking taylor expansion of 1.0 in k 15.040 * [backup-simplify]: Simplify 1.0 into 1.0 15.040 * [taylor]: Taking taylor expansion of k in k 15.040 * [backup-simplify]: Simplify 0 into 0 15.040 * [backup-simplify]: Simplify 1 into 1 15.040 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 15.040 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 15.040 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 15.040 * [taylor]: Taking taylor expansion of 2.0 in k 15.040 * [backup-simplify]: Simplify 2.0 into 2.0 15.040 * [taylor]: Taking taylor expansion of PI in k 15.040 * [backup-simplify]: Simplify PI into PI 15.041 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 15.042 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.042 * [taylor]: Taking taylor expansion of (log n) in k 15.042 * [taylor]: Taking taylor expansion of n in k 15.042 * [backup-simplify]: Simplify n into n 15.042 * [backup-simplify]: Simplify (log n) into (log n) 15.042 * [backup-simplify]: Simplify (- 0) into 0 15.043 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.044 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 15.045 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 15.046 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 15.047 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 15.048 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 15.049 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 15.051 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 15.052 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 15.053 * [backup-simplify]: Simplify (- 0) into 0 15.053 * [backup-simplify]: Simplify (+ 0 0) into 0 15.054 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 15.055 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 15.056 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 15.058 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.058 * [taylor]: Taking taylor expansion of 0 in k 15.058 * [backup-simplify]: Simplify 0 into 0 15.058 * [backup-simplify]: Simplify 0 into 0 15.059 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 15.060 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 15.061 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 15.062 * [backup-simplify]: Simplify (+ 0 0) into 0 15.062 * [backup-simplify]: Simplify (- 1) into -1 15.062 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.064 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 15.066 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 15.069 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 15.072 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 15.073 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 15.075 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 15.078 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 15.079 * [backup-simplify]: Simplify (- 0) into 0 15.079 * [backup-simplify]: Simplify (+ 0 0) into 0 15.080 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 15.081 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 15.082 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 15.085 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.085 * [taylor]: Taking taylor expansion of 0 in k 15.085 * [backup-simplify]: Simplify 0 into 0 15.085 * [backup-simplify]: Simplify 0 into 0 15.085 * [backup-simplify]: Simplify 0 into 0 15.086 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 15.089 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 15.091 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 15.091 * [backup-simplify]: Simplify (+ 0 0) into 0 15.091 * [backup-simplify]: Simplify (- 0) into 0 15.092 * [backup-simplify]: Simplify (+ 0 0) into 0 15.101 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 15.104 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 15.108 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 15.113 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 15.123 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 15.124 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) 15.124 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 15.124 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 15.124 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 15.124 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 15.124 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 15.124 * [taylor]: Taking taylor expansion of 0.5 in k 15.124 * [backup-simplify]: Simplify 0.5 into 0.5 15.124 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 15.124 * [taylor]: Taking taylor expansion of 1.0 in k 15.124 * [backup-simplify]: Simplify 1.0 into 1.0 15.124 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.125 * [taylor]: Taking taylor expansion of k in k 15.125 * [backup-simplify]: Simplify 0 into 0 15.125 * [backup-simplify]: Simplify 1 into 1 15.125 * [backup-simplify]: Simplify (/ 1 1) into 1 15.125 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 15.125 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 15.125 * [taylor]: Taking taylor expansion of 2.0 in k 15.125 * [backup-simplify]: Simplify 2.0 into 2.0 15.125 * [taylor]: Taking taylor expansion of (/ PI n) in k 15.125 * [taylor]: Taking taylor expansion of PI in k 15.125 * [backup-simplify]: Simplify PI into PI 15.125 * [taylor]: Taking taylor expansion of n in k 15.125 * [backup-simplify]: Simplify n into n 15.126 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 15.126 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 15.126 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 15.126 * [backup-simplify]: Simplify (- 1) into -1 15.126 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.127 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 15.127 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 15.127 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 15.127 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 15.127 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 15.127 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 15.127 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 15.127 * [taylor]: Taking taylor expansion of 0.5 in n 15.128 * [backup-simplify]: Simplify 0.5 into 0.5 15.128 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 15.128 * [taylor]: Taking taylor expansion of 1.0 in n 15.128 * [backup-simplify]: Simplify 1.0 into 1.0 15.128 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.128 * [taylor]: Taking taylor expansion of k in n 15.128 * [backup-simplify]: Simplify k into k 15.128 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.128 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 15.128 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 15.128 * [taylor]: Taking taylor expansion of 2.0 in n 15.128 * [backup-simplify]: Simplify 2.0 into 2.0 15.128 * [taylor]: Taking taylor expansion of (/ PI n) in n 15.128 * [taylor]: Taking taylor expansion of PI in n 15.128 * [backup-simplify]: Simplify PI into PI 15.128 * [taylor]: Taking taylor expansion of n in n 15.128 * [backup-simplify]: Simplify 0 into 0 15.128 * [backup-simplify]: Simplify 1 into 1 15.129 * [backup-simplify]: Simplify (/ PI 1) into PI 15.129 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 15.130 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.130 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 15.130 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 15.130 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 15.131 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 15.133 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 15.134 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 15.134 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 15.134 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 15.134 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 15.134 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 15.134 * [taylor]: Taking taylor expansion of 0.5 in n 15.134 * [backup-simplify]: Simplify 0.5 into 0.5 15.134 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 15.134 * [taylor]: Taking taylor expansion of 1.0 in n 15.134 * [backup-simplify]: Simplify 1.0 into 1.0 15.134 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.134 * [taylor]: Taking taylor expansion of k in n 15.134 * [backup-simplify]: Simplify k into k 15.134 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.134 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 15.134 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 15.134 * [taylor]: Taking taylor expansion of 2.0 in n 15.134 * [backup-simplify]: Simplify 2.0 into 2.0 15.134 * [taylor]: Taking taylor expansion of (/ PI n) in n 15.134 * [taylor]: Taking taylor expansion of PI in n 15.134 * [backup-simplify]: Simplify PI into PI 15.134 * [taylor]: Taking taylor expansion of n in n 15.134 * [backup-simplify]: Simplify 0 into 0 15.134 * [backup-simplify]: Simplify 1 into 1 15.135 * [backup-simplify]: Simplify (/ PI 1) into PI 15.135 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 15.137 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.137 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 15.137 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 15.137 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 15.138 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 15.139 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 15.141 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 15.141 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 15.141 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 15.141 * [taylor]: Taking taylor expansion of 0.5 in k 15.141 * [backup-simplify]: Simplify 0.5 into 0.5 15.141 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 15.141 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 15.141 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 15.141 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 15.141 * [taylor]: Taking taylor expansion of 2.0 in k 15.141 * [backup-simplify]: Simplify 2.0 into 2.0 15.141 * [taylor]: Taking taylor expansion of PI in k 15.141 * [backup-simplify]: Simplify PI into PI 15.141 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 15.142 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.142 * [taylor]: Taking taylor expansion of (log n) in k 15.143 * [taylor]: Taking taylor expansion of n in k 15.143 * [backup-simplify]: Simplify n into n 15.143 * [backup-simplify]: Simplify (log n) into (log n) 15.143 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 15.143 * [taylor]: Taking taylor expansion of 1.0 in k 15.143 * [backup-simplify]: Simplify 1.0 into 1.0 15.143 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.143 * [taylor]: Taking taylor expansion of k in k 15.143 * [backup-simplify]: Simplify 0 into 0 15.143 * [backup-simplify]: Simplify 1 into 1 15.143 * [backup-simplify]: Simplify (/ 1 1) into 1 15.143 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 15.144 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 15.145 * [backup-simplify]: Simplify (- 1) into -1 15.145 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.146 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 15.147 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 15.148 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 15.149 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 15.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 15.151 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 15.153 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 15.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 15.153 * [backup-simplify]: Simplify (- 0) into 0 15.154 * [backup-simplify]: Simplify (+ 0 0) into 0 15.154 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 15.155 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 15.157 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 15.158 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.158 * [taylor]: Taking taylor expansion of 0 in k 15.158 * [backup-simplify]: Simplify 0 into 0 15.159 * [backup-simplify]: Simplify 0 into 0 15.159 * [backup-simplify]: Simplify 0 into 0 15.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.160 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 15.164 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 15.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.164 * [backup-simplify]: Simplify (- 0) into 0 15.165 * [backup-simplify]: Simplify (+ 0 0) into 0 15.166 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 15.167 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 15.168 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 15.171 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.171 * [taylor]: Taking taylor expansion of 0 in k 15.171 * [backup-simplify]: Simplify 0 into 0 15.171 * [backup-simplify]: Simplify 0 into 0 15.171 * [backup-simplify]: Simplify 0 into 0 15.171 * [backup-simplify]: Simplify 0 into 0 15.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.173 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.178 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 15.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.179 * [backup-simplify]: Simplify (- 0) into 0 15.179 * [backup-simplify]: Simplify (+ 0 0) into 0 15.181 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 15.182 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 15.184 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 15.186 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.186 * [taylor]: Taking taylor expansion of 0 in k 15.186 * [backup-simplify]: Simplify 0 into 0 15.186 * [backup-simplify]: Simplify 0 into 0 15.188 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 15.188 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) 15.188 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 15.188 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 15.188 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 15.188 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 15.189 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 15.189 * [taylor]: Taking taylor expansion of 0.5 in k 15.189 * [backup-simplify]: Simplify 0.5 into 0.5 15.189 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 15.189 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.189 * [taylor]: Taking taylor expansion of k in k 15.189 * [backup-simplify]: Simplify 0 into 0 15.189 * [backup-simplify]: Simplify 1 into 1 15.189 * [backup-simplify]: Simplify (/ 1 1) into 1 15.189 * [taylor]: Taking taylor expansion of 1.0 in k 15.189 * [backup-simplify]: Simplify 1.0 into 1.0 15.189 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 15.189 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 15.189 * [taylor]: Taking taylor expansion of -2.0 in k 15.189 * [backup-simplify]: Simplify -2.0 into -2.0 15.189 * [taylor]: Taking taylor expansion of (/ PI n) in k 15.189 * [taylor]: Taking taylor expansion of PI in k 15.189 * [backup-simplify]: Simplify PI into PI 15.189 * [taylor]: Taking taylor expansion of n in k 15.189 * [backup-simplify]: Simplify n into n 15.189 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 15.190 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 15.190 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 15.190 * [backup-simplify]: Simplify (+ 1 0) into 1 15.190 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 15.191 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 15.191 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 15.191 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 15.191 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 15.191 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 15.191 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 15.191 * [taylor]: Taking taylor expansion of 0.5 in n 15.191 * [backup-simplify]: Simplify 0.5 into 0.5 15.191 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 15.191 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.191 * [taylor]: Taking taylor expansion of k in n 15.191 * [backup-simplify]: Simplify k into k 15.191 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.191 * [taylor]: Taking taylor expansion of 1.0 in n 15.191 * [backup-simplify]: Simplify 1.0 into 1.0 15.191 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 15.191 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 15.191 * [taylor]: Taking taylor expansion of -2.0 in n 15.191 * [backup-simplify]: Simplify -2.0 into -2.0 15.191 * [taylor]: Taking taylor expansion of (/ PI n) in n 15.191 * [taylor]: Taking taylor expansion of PI in n 15.191 * [backup-simplify]: Simplify PI into PI 15.191 * [taylor]: Taking taylor expansion of n in n 15.191 * [backup-simplify]: Simplify 0 into 0 15.191 * [backup-simplify]: Simplify 1 into 1 15.192 * [backup-simplify]: Simplify (/ PI 1) into PI 15.192 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 15.193 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 15.194 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 15.194 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 15.195 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 15.196 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 15.197 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 15.197 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 15.197 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 15.197 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 15.197 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 15.197 * [taylor]: Taking taylor expansion of 0.5 in n 15.197 * [backup-simplify]: Simplify 0.5 into 0.5 15.197 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 15.198 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.198 * [taylor]: Taking taylor expansion of k in n 15.198 * [backup-simplify]: Simplify k into k 15.198 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.198 * [taylor]: Taking taylor expansion of 1.0 in n 15.198 * [backup-simplify]: Simplify 1.0 into 1.0 15.198 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 15.198 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 15.198 * [taylor]: Taking taylor expansion of -2.0 in n 15.198 * [backup-simplify]: Simplify -2.0 into -2.0 15.198 * [taylor]: Taking taylor expansion of (/ PI n) in n 15.198 * [taylor]: Taking taylor expansion of PI in n 15.198 * [backup-simplify]: Simplify PI into PI 15.198 * [taylor]: Taking taylor expansion of n in n 15.198 * [backup-simplify]: Simplify 0 into 0 15.198 * [backup-simplify]: Simplify 1 into 1 15.198 * [backup-simplify]: Simplify (/ PI 1) into PI 15.199 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 15.200 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 15.200 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 15.200 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 15.201 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 15.203 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 15.204 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 15.204 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 15.204 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 15.205 * [taylor]: Taking taylor expansion of 0.5 in k 15.205 * [backup-simplify]: Simplify 0.5 into 0.5 15.205 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 15.205 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 15.205 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.205 * [taylor]: Taking taylor expansion of k in k 15.205 * [backup-simplify]: Simplify 0 into 0 15.205 * [backup-simplify]: Simplify 1 into 1 15.205 * [backup-simplify]: Simplify (/ 1 1) into 1 15.205 * [taylor]: Taking taylor expansion of 1.0 in k 15.205 * [backup-simplify]: Simplify 1.0 into 1.0 15.205 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 15.205 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 15.205 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 15.205 * [taylor]: Taking taylor expansion of -2.0 in k 15.205 * [backup-simplify]: Simplify -2.0 into -2.0 15.205 * [taylor]: Taking taylor expansion of PI in k 15.205 * [backup-simplify]: Simplify PI into PI 15.206 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 15.207 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 15.207 * [taylor]: Taking taylor expansion of (log n) in k 15.207 * [taylor]: Taking taylor expansion of n in k 15.207 * [backup-simplify]: Simplify n into n 15.207 * [backup-simplify]: Simplify (log n) into (log n) 15.207 * [backup-simplify]: Simplify (+ 1 0) into 1 15.207 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 15.208 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 15.210 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 15.211 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 15.212 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 15.213 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 15.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 15.215 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 15.217 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 15.217 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 15.217 * [backup-simplify]: Simplify (+ 0 0) into 0 15.218 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 15.219 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 15.220 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 15.222 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.222 * [taylor]: Taking taylor expansion of 0 in k 15.222 * [backup-simplify]: Simplify 0 into 0 15.222 * [backup-simplify]: Simplify 0 into 0 15.222 * [backup-simplify]: Simplify 0 into 0 15.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.224 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 15.227 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 15.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.228 * [backup-simplify]: Simplify (+ 0 0) into 0 15.229 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 15.230 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 15.231 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 15.233 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.233 * [taylor]: Taking taylor expansion of 0 in k 15.233 * [backup-simplify]: Simplify 0 into 0 15.233 * [backup-simplify]: Simplify 0 into 0 15.233 * [backup-simplify]: Simplify 0 into 0 15.233 * [backup-simplify]: Simplify 0 into 0 15.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.235 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.244 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 15.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.244 * [backup-simplify]: Simplify (+ 0 0) into 0 15.245 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 15.246 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 15.247 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 15.249 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.249 * [taylor]: Taking taylor expansion of 0 in k 15.249 * [backup-simplify]: Simplify 0 into 0 15.249 * [backup-simplify]: Simplify 0 into 0 15.250 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 15.250 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2 2 1) 15.250 * [backup-simplify]: Simplify (cbrt k) into (pow k 1/3) 15.250 * [approximate]: Taking taylor expansion of (pow k 1/3) in (k) around 0 15.250 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 15.250 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 15.250 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 15.250 * [taylor]: Taking taylor expansion of 1/3 in k 15.250 * [backup-simplify]: Simplify 1/3 into 1/3 15.250 * [taylor]: Taking taylor expansion of (log k) in k 15.250 * [taylor]: Taking taylor expansion of k in k 15.250 * [backup-simplify]: Simplify 0 into 0 15.250 * [backup-simplify]: Simplify 1 into 1 15.250 * [backup-simplify]: Simplify (log 1) into 0 15.251 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 15.251 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 15.251 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 15.251 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 15.251 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 15.251 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 15.251 * [taylor]: Taking taylor expansion of 1/3 in k 15.251 * [backup-simplify]: Simplify 1/3 into 1/3 15.251 * [taylor]: Taking taylor expansion of (log k) in k 15.251 * [taylor]: Taking taylor expansion of k in k 15.251 * [backup-simplify]: Simplify 0 into 0 15.251 * [backup-simplify]: Simplify 1 into 1 15.251 * [backup-simplify]: Simplify (log 1) into 0 15.251 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 15.251 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 15.251 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 15.252 * [backup-simplify]: Simplify (pow k 1/3) into (pow k 1/3) 15.252 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.253 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 15.253 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log k))) into 0 15.253 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 15.253 * [backup-simplify]: Simplify 0 into 0 15.255 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 15.255 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 15.256 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log k)))) into 0 15.256 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.256 * [backup-simplify]: Simplify 0 into 0 15.259 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 15.259 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 15.260 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 15.261 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.261 * [backup-simplify]: Simplify 0 into 0 15.268 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 15.269 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 15.270 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 15.272 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.273 * [backup-simplify]: Simplify 0 into 0 15.287 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 15.288 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 15.289 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 15.293 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.293 * [backup-simplify]: Simplify 0 into 0 15.309 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 15.309 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 15.311 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 15.314 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.314 * [backup-simplify]: Simplify 0 into 0 15.314 * [backup-simplify]: Simplify (pow k 1/3) into (pow k 1/3) 15.314 * [backup-simplify]: Simplify (cbrt (/ 1 k)) into (pow (/ 1 k) 1/3) 15.314 * [approximate]: Taking taylor expansion of (pow (/ 1 k) 1/3) in (k) around 0 15.314 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 15.314 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 15.314 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 15.314 * [taylor]: Taking taylor expansion of 1/3 in k 15.315 * [backup-simplify]: Simplify 1/3 into 1/3 15.315 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 15.315 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.315 * [taylor]: Taking taylor expansion of k in k 15.315 * [backup-simplify]: Simplify 0 into 0 15.315 * [backup-simplify]: Simplify 1 into 1 15.315 * [backup-simplify]: Simplify (/ 1 1) into 1 15.315 * [backup-simplify]: Simplify (log 1) into 0 15.315 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 15.316 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 15.316 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 15.316 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 15.316 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 15.316 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 15.316 * [taylor]: Taking taylor expansion of 1/3 in k 15.316 * [backup-simplify]: Simplify 1/3 into 1/3 15.316 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 15.316 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.316 * [taylor]: Taking taylor expansion of k in k 15.316 * [backup-simplify]: Simplify 0 into 0 15.316 * [backup-simplify]: Simplify 1 into 1 15.316 * [backup-simplify]: Simplify (/ 1 1) into 1 15.316 * [backup-simplify]: Simplify (log 1) into 0 15.317 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 15.317 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 15.317 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 15.317 * [backup-simplify]: Simplify (pow k -1/3) into (pow k -1/3) 15.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.318 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.318 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 15.319 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log k)))) into 0 15.319 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 15.319 * [backup-simplify]: Simplify 0 into 0 15.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.321 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 15.322 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 15.322 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 15.323 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.323 * [backup-simplify]: Simplify 0 into 0 15.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.327 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 15.328 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 15.329 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 15.331 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.331 * [backup-simplify]: Simplify 0 into 0 15.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.341 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 15.342 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 15.353 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 15.356 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.356 * [backup-simplify]: Simplify 0 into 0 15.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.369 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 15.369 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 15.371 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 15.373 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.373 * [backup-simplify]: Simplify 0 into 0 15.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.388 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 15.389 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 15.390 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 15.394 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.394 * [backup-simplify]: Simplify 0 into 0 15.394 * [backup-simplify]: Simplify (pow (/ 1 k) -1/3) into (pow (/ 1 k) -1/3) 15.394 * [backup-simplify]: Simplify (cbrt (/ 1 (- k))) into (* (pow (/ 1 k) 1/3) (cbrt -1)) 15.394 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in (k) around 0 15.394 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 15.394 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 15.394 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 15.394 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 15.395 * [taylor]: Taking taylor expansion of 1/3 in k 15.395 * [backup-simplify]: Simplify 1/3 into 1/3 15.395 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 15.395 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.395 * [taylor]: Taking taylor expansion of k in k 15.395 * [backup-simplify]: Simplify 0 into 0 15.395 * [backup-simplify]: Simplify 1 into 1 15.395 * [backup-simplify]: Simplify (/ 1 1) into 1 15.396 * [backup-simplify]: Simplify (log 1) into 0 15.396 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 15.396 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 15.396 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 15.396 * [taylor]: Taking taylor expansion of (cbrt -1) in k 15.396 * [taylor]: Taking taylor expansion of -1 in k 15.396 * [backup-simplify]: Simplify -1 into -1 15.397 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 15.398 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 15.398 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 15.398 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 15.398 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 15.398 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 15.398 * [taylor]: Taking taylor expansion of 1/3 in k 15.398 * [backup-simplify]: Simplify 1/3 into 1/3 15.398 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 15.398 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.398 * [taylor]: Taking taylor expansion of k in k 15.398 * [backup-simplify]: Simplify 0 into 0 15.398 * [backup-simplify]: Simplify 1 into 1 15.398 * [backup-simplify]: Simplify (/ 1 1) into 1 15.399 * [backup-simplify]: Simplify (log 1) into 0 15.399 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 15.399 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 15.399 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 15.399 * [taylor]: Taking taylor expansion of (cbrt -1) in k 15.400 * [taylor]: Taking taylor expansion of -1 in k 15.400 * [backup-simplify]: Simplify -1 into -1 15.400 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 15.401 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 15.401 * [backup-simplify]: Simplify (* (pow k -1/3) (cbrt -1)) into (* (pow (/ 1 k) 1/3) (cbrt -1)) 15.402 * [backup-simplify]: Simplify (* (pow (/ 1 k) 1/3) (cbrt -1)) into (* (pow (/ 1 k) 1/3) (cbrt -1)) 15.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.404 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.405 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 15.405 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log k)))) into 0 15.406 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 15.407 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (* 0 (cbrt -1))) into 0 15.407 * [backup-simplify]: Simplify 0 into 0 15.408 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 15.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.412 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 15.412 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 15.413 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 15.415 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.416 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 15.416 * [backup-simplify]: Simplify 0 into 0 15.417 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 15.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.423 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 15.424 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 15.425 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 15.427 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.428 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 15.428 * [backup-simplify]: Simplify 0 into 0 15.430 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 15.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.440 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 15.441 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 15.442 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 15.445 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.446 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 15.446 * [backup-simplify]: Simplify 0 into 0 15.448 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 15.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.464 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 15.464 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 15.466 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 15.479 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.481 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 15.481 * [backup-simplify]: Simplify 0 into 0 15.483 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 15.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.512 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 15.512 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 15.514 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 15.520 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.522 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 15.522 * [backup-simplify]: Simplify 0 into 0 15.522 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- k))) 1/3) (cbrt -1)) into (* (pow (* -1 k) 1/3) (cbrt -1)) 15.522 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 2 1) 15.523 * [backup-simplify]: Simplify (cbrt k) into (pow k 1/3) 15.523 * [approximate]: Taking taylor expansion of (pow k 1/3) in (k) around 0 15.523 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 15.523 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 15.523 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 15.523 * [taylor]: Taking taylor expansion of 1/3 in k 15.523 * [backup-simplify]: Simplify 1/3 into 1/3 15.523 * [taylor]: Taking taylor expansion of (log k) in k 15.523 * [taylor]: Taking taylor expansion of k in k 15.523 * [backup-simplify]: Simplify 0 into 0 15.523 * [backup-simplify]: Simplify 1 into 1 15.523 * [backup-simplify]: Simplify (log 1) into 0 15.524 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 15.524 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 15.524 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 15.524 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 15.524 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 15.524 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 15.524 * [taylor]: Taking taylor expansion of 1/3 in k 15.524 * [backup-simplify]: Simplify 1/3 into 1/3 15.524 * [taylor]: Taking taylor expansion of (log k) in k 15.524 * [taylor]: Taking taylor expansion of k in k 15.524 * [backup-simplify]: Simplify 0 into 0 15.524 * [backup-simplify]: Simplify 1 into 1 15.525 * [backup-simplify]: Simplify (log 1) into 0 15.525 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 15.525 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 15.525 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 15.525 * [backup-simplify]: Simplify (pow k 1/3) into (pow k 1/3) 15.527 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.527 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 15.528 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log k))) into 0 15.528 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 15.528 * [backup-simplify]: Simplify 0 into 0 15.531 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 15.532 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 15.532 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log k)))) into 0 15.534 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.534 * [backup-simplify]: Simplify 0 into 0 15.539 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 15.540 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 15.541 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 15.543 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.543 * [backup-simplify]: Simplify 0 into 0 15.553 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 15.553 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 15.555 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 15.558 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.558 * [backup-simplify]: Simplify 0 into 0 15.572 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 15.573 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 15.575 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 15.578 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.579 * [backup-simplify]: Simplify 0 into 0 15.606 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 15.607 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 15.609 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 15.624 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.624 * [backup-simplify]: Simplify 0 into 0 15.624 * [backup-simplify]: Simplify (pow k 1/3) into (pow k 1/3) 15.625 * [backup-simplify]: Simplify (cbrt (/ 1 k)) into (pow (/ 1 k) 1/3) 15.625 * [approximate]: Taking taylor expansion of (pow (/ 1 k) 1/3) in (k) around 0 15.625 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 15.625 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 15.625 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 15.625 * [taylor]: Taking taylor expansion of 1/3 in k 15.625 * [backup-simplify]: Simplify 1/3 into 1/3 15.625 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 15.625 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.625 * [taylor]: Taking taylor expansion of k in k 15.625 * [backup-simplify]: Simplify 0 into 0 15.625 * [backup-simplify]: Simplify 1 into 1 15.626 * [backup-simplify]: Simplify (/ 1 1) into 1 15.626 * [backup-simplify]: Simplify (log 1) into 0 15.626 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 15.627 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 15.627 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 15.627 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 15.627 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 15.627 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 15.627 * [taylor]: Taking taylor expansion of 1/3 in k 15.627 * [backup-simplify]: Simplify 1/3 into 1/3 15.627 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 15.627 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.627 * [taylor]: Taking taylor expansion of k in k 15.627 * [backup-simplify]: Simplify 0 into 0 15.627 * [backup-simplify]: Simplify 1 into 1 15.627 * [backup-simplify]: Simplify (/ 1 1) into 1 15.628 * [backup-simplify]: Simplify (log 1) into 0 15.628 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 15.628 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 15.628 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 15.629 * [backup-simplify]: Simplify (pow k -1/3) into (pow k -1/3) 15.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.631 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.631 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 15.632 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log k)))) into 0 15.632 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 15.633 * [backup-simplify]: Simplify 0 into 0 15.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.636 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 15.637 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 15.637 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 15.638 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.638 * [backup-simplify]: Simplify 0 into 0 15.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.641 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 15.641 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 15.642 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 15.643 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.643 * [backup-simplify]: Simplify 0 into 0 15.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.649 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 15.649 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 15.650 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 15.651 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.651 * [backup-simplify]: Simplify 0 into 0 15.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.660 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 15.660 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 15.661 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 15.663 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.663 * [backup-simplify]: Simplify 0 into 0 15.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.679 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 15.680 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 15.681 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 15.684 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.684 * [backup-simplify]: Simplify 0 into 0 15.684 * [backup-simplify]: Simplify (pow (/ 1 k) -1/3) into (pow (/ 1 k) -1/3) 15.684 * [backup-simplify]: Simplify (cbrt (/ 1 (- k))) into (* (pow (/ 1 k) 1/3) (cbrt -1)) 15.684 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in (k) around 0 15.684 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 15.684 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 15.685 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 15.685 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 15.685 * [taylor]: Taking taylor expansion of 1/3 in k 15.685 * [backup-simplify]: Simplify 1/3 into 1/3 15.685 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 15.685 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.685 * [taylor]: Taking taylor expansion of k in k 15.685 * [backup-simplify]: Simplify 0 into 0 15.685 * [backup-simplify]: Simplify 1 into 1 15.685 * [backup-simplify]: Simplify (/ 1 1) into 1 15.685 * [backup-simplify]: Simplify (log 1) into 0 15.685 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 15.686 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 15.686 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 15.686 * [taylor]: Taking taylor expansion of (cbrt -1) in k 15.686 * [taylor]: Taking taylor expansion of -1 in k 15.686 * [backup-simplify]: Simplify -1 into -1 15.686 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 15.686 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 15.686 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 15.686 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 15.686 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 15.686 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 15.686 * [taylor]: Taking taylor expansion of 1/3 in k 15.687 * [backup-simplify]: Simplify 1/3 into 1/3 15.687 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 15.687 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.687 * [taylor]: Taking taylor expansion of k in k 15.687 * [backup-simplify]: Simplify 0 into 0 15.687 * [backup-simplify]: Simplify 1 into 1 15.687 * [backup-simplify]: Simplify (/ 1 1) into 1 15.687 * [backup-simplify]: Simplify (log 1) into 0 15.688 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 15.688 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 15.688 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 15.688 * [taylor]: Taking taylor expansion of (cbrt -1) in k 15.688 * [taylor]: Taking taylor expansion of -1 in k 15.688 * [backup-simplify]: Simplify -1 into -1 15.688 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 15.689 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 15.689 * [backup-simplify]: Simplify (* (pow k -1/3) (cbrt -1)) into (* (pow (/ 1 k) 1/3) (cbrt -1)) 15.690 * [backup-simplify]: Simplify (* (pow (/ 1 k) 1/3) (cbrt -1)) into (* (pow (/ 1 k) 1/3) (cbrt -1)) 15.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.692 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.693 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 15.693 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log k)))) into 0 15.694 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 15.695 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (* 0 (cbrt -1))) into 0 15.695 * [backup-simplify]: Simplify 0 into 0 15.696 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 15.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.700 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 15.701 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 15.702 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 15.703 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.704 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 15.704 * [backup-simplify]: Simplify 0 into 0 15.706 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 15.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.711 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 15.712 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 15.713 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 15.715 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.716 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 15.716 * [backup-simplify]: Simplify 0 into 0 15.718 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 15.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.738 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 15.739 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 15.741 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 15.743 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.745 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 15.745 * [backup-simplify]: Simplify 0 into 0 15.746 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 15.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.756 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 15.757 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 15.758 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 15.760 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.761 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 15.761 * [backup-simplify]: Simplify 0 into 0 15.762 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 15.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.777 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 15.778 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 15.779 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 15.784 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.786 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 15.786 * [backup-simplify]: Simplify 0 into 0 15.787 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- k))) 1/3) (cbrt -1)) into (* (pow (* -1 k) 1/3) (cbrt -1)) 15.787 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 15.788 * [backup-simplify]: Simplify (* (sqrt (* (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))))) (sqrt (/ 1.0 (sqrt k)))) into (* (sqrt (/ 1 (fabs (pow k 1/3)))) (* (pow (sqrt 1.0) 2) (pow (/ 1 k) 1/3))) 15.788 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (fabs (pow k 1/3)))) (* (pow (sqrt 1.0) 2) (pow (/ 1 k) 1/3))) in (k) around 0 15.788 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (fabs (pow k 1/3)))) (* (pow (sqrt 1.0) 2) (pow (/ 1 k) 1/3))) in k 15.788 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (pow k 1/3)))) in k 15.788 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow k 1/3))) in k 15.788 * [taylor]: Taking taylor expansion of (fabs (pow k 1/3)) in k 15.790 * [backup-simplify]: Simplify (fabs (pow k 1/3)) into (fabs (pow k 1/3)) 15.790 * [backup-simplify]: Simplify (/ 1 (fabs (pow k 1/3))) into (/ 1 (fabs (pow k 1/3))) 15.790 * [backup-simplify]: Simplify (sqrt (/ 1 (fabs (pow k 1/3)))) into (sqrt (/ 1 (fabs (pow k 1/3)))) 15.791 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))))) into 0 15.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 15.791 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (/ 1 k) 1/3)) in k 15.791 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 15.791 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 15.791 * [taylor]: Taking taylor expansion of 1.0 in k 15.791 * [backup-simplify]: Simplify 1.0 into 1.0 15.792 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 15.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 15.792 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 15.792 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 15.792 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 15.792 * [taylor]: Taking taylor expansion of 1/3 in k 15.792 * [backup-simplify]: Simplify 1/3 into 1/3 15.792 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 15.793 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.793 * [taylor]: Taking taylor expansion of k in k 15.793 * [backup-simplify]: Simplify 0 into 0 15.793 * [backup-simplify]: Simplify 1 into 1 15.793 * [backup-simplify]: Simplify (/ 1 1) into 1 15.793 * [backup-simplify]: Simplify (log 1) into 0 15.793 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 15.793 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 15.793 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 15.793 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (fabs (pow k 1/3)))) (* (pow (sqrt 1.0) 2) (pow (/ 1 k) 1/3))) in k 15.794 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (pow k 1/3)))) in k 15.794 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow k 1/3))) in k 15.794 * [taylor]: Taking taylor expansion of (fabs (pow k 1/3)) in k 15.794 * [backup-simplify]: Simplify (fabs (pow k 1/3)) into (fabs (pow k 1/3)) 15.794 * [backup-simplify]: Simplify (/ 1 (fabs (pow k 1/3))) into (/ 1 (fabs (pow k 1/3))) 15.794 * [backup-simplify]: Simplify (sqrt (/ 1 (fabs (pow k 1/3)))) into (sqrt (/ 1 (fabs (pow k 1/3)))) 15.794 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))))) into 0 15.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 15.794 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (/ 1 k) 1/3)) in k 15.794 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 15.794 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 15.794 * [taylor]: Taking taylor expansion of 1.0 in k 15.794 * [backup-simplify]: Simplify 1.0 into 1.0 15.795 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 15.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 15.795 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 15.795 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 15.795 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 15.795 * [taylor]: Taking taylor expansion of 1/3 in k 15.795 * [backup-simplify]: Simplify 1/3 into 1/3 15.795 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 15.795 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.795 * [taylor]: Taking taylor expansion of k in k 15.795 * [backup-simplify]: Simplify 0 into 0 15.795 * [backup-simplify]: Simplify 1 into 1 15.795 * [backup-simplify]: Simplify (/ 1 1) into 1 15.796 * [backup-simplify]: Simplify (log 1) into 0 15.796 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 15.796 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 15.796 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 15.797 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 15.798 * [backup-simplify]: Simplify (* (pow (sqrt 1.0) 2) (pow k -1/3)) into (* (pow (/ 1 k) 1/3) (pow (sqrt 1.0) 2)) 15.798 * [backup-simplify]: Simplify (* (sqrt (/ 1 (fabs (pow k 1/3)))) (* (pow (/ 1 k) 1/3) (pow (sqrt 1.0) 2))) into (* (sqrt (/ 1 (fabs (pow k 1/3)))) (* (pow (sqrt 1.0) 2) (pow (/ 1 k) 1/3))) 15.799 * [backup-simplify]: Simplify (* (sqrt (/ 1 (fabs (pow k 1/3)))) (* (pow (sqrt 1.0) 2) (pow (/ 1 k) 1/3))) into (* (sqrt (/ 1 (fabs (pow k 1/3)))) (* (pow (sqrt 1.0) 2) (pow (/ 1 k) 1/3))) 15.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.800 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.801 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 15.801 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log k)))) into 0 15.802 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 15.802 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 15.803 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) 0) (* 0 (pow k -1/3))) into 0 15.803 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow k 1/3)))) 0) (* 0 (* (pow (/ 1 k) 1/3) (pow (sqrt 1.0) 2)))) into 0 15.803 * [backup-simplify]: Simplify 0 into 0 15.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.805 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 15.806 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 15.806 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 15.807 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.808 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 15.808 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 15.809 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) 0) (+ (* 0 0) (* 0 (pow k -1/3)))) into 0 15.809 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 15.810 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 15.811 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow k 1/3)))) 0) (+ (* 0 0) (* 0 (* (pow (/ 1 k) 1/3) (pow (sqrt 1.0) 2))))) into 0 15.811 * [backup-simplify]: Simplify 0 into 0 15.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.814 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 15.814 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 15.815 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 15.816 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.817 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 15.817 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0))))) into 0 15.818 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3))))) into 0 15.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 15.819 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 15.820 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow k 1/3)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (/ 1 k) 1/3) (pow (sqrt 1.0) 2)))))) into 0 15.821 * [backup-simplify]: Simplify 0 into 0 15.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.838 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 15.839 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 15.840 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 15.843 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.844 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 15.845 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0)))))) into 0 15.848 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3)))))) into 0 15.848 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 15.850 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 15.852 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow k 1/3)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (/ 1 k) 1/3) (pow (sqrt 1.0) 2))))))) into 0 15.852 * [backup-simplify]: Simplify 0 into 0 15.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.869 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 15.870 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 15.871 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 15.875 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.876 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 15.878 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0))))))) into 0 15.880 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3))))))) into 0 15.881 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 15.882 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 15.885 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow k 1/3)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (/ 1 k) 1/3) (pow (sqrt 1.0) 2)))))))) into 0 15.885 * [backup-simplify]: Simplify 0 into 0 15.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.913 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 15.914 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 15.916 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 15.922 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.923 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 15.925 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0)))))))) into 0 15.928 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3)))))))) into 0 15.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 15.930 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 15.933 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow k 1/3)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (/ 1 k) 1/3) (pow (sqrt 1.0) 2))))))))) into 0 15.933 * [backup-simplify]: Simplify 0 into 0 15.935 * [backup-simplify]: Simplify (* (sqrt (/ 1 (fabs (pow k 1/3)))) (* (pow (sqrt 1.0) 2) (pow (/ 1 k) 1/3))) into (* (sqrt (/ 1 (fabs (pow k 1/3)))) (* (pow (sqrt 1.0) 2) (pow (/ 1 k) 1/3))) 15.936 * [backup-simplify]: Simplify (* (sqrt (* (/ (sqrt 1.0) (fabs (cbrt (/ 1 k)))) (/ (sqrt 1.0) (sqrt (cbrt (/ 1 k)))))) (sqrt (/ 1.0 (sqrt (/ 1 k))))) into (* (pow k 1/3) (* (pow (sqrt 1.0) 2) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) 15.936 * [approximate]: Taking taylor expansion of (* (pow k 1/3) (* (pow (sqrt 1.0) 2) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) in (k) around 0 15.936 * [taylor]: Taking taylor expansion of (* (pow k 1/3) (* (pow (sqrt 1.0) 2) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) in k 15.936 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 15.936 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 15.936 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 15.936 * [taylor]: Taking taylor expansion of 1/3 in k 15.936 * [backup-simplify]: Simplify 1/3 into 1/3 15.936 * [taylor]: Taking taylor expansion of (log k) in k 15.936 * [taylor]: Taking taylor expansion of k in k 15.936 * [backup-simplify]: Simplify 0 into 0 15.936 * [backup-simplify]: Simplify 1 into 1 15.937 * [backup-simplify]: Simplify (log 1) into 0 15.937 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 15.937 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 15.937 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 15.937 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))) in k 15.937 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 15.937 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 15.937 * [taylor]: Taking taylor expansion of 1.0 in k 15.937 * [backup-simplify]: Simplify 1.0 into 1.0 15.938 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 15.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 15.939 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) in k 15.939 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow (/ 1 k) 1/3))) in k 15.939 * [taylor]: Taking taylor expansion of (fabs (pow (/ 1 k) 1/3)) in k 15.939 * [backup-simplify]: Simplify (fabs (pow (/ 1 k) 1/3)) into (fabs (pow (/ 1 k) 1/3)) 15.939 * [backup-simplify]: Simplify (/ 1 (fabs (pow (/ 1 k) 1/3))) into (/ 1 (fabs (pow (/ 1 k) 1/3))) 15.939 * [backup-simplify]: Simplify (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) into (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) 15.940 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 15.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 15.940 * [taylor]: Taking taylor expansion of (* (pow k 1/3) (* (pow (sqrt 1.0) 2) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) in k 15.940 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 15.940 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 15.940 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 15.940 * [taylor]: Taking taylor expansion of 1/3 in k 15.940 * [backup-simplify]: Simplify 1/3 into 1/3 15.940 * [taylor]: Taking taylor expansion of (log k) in k 15.940 * [taylor]: Taking taylor expansion of k in k 15.940 * [backup-simplify]: Simplify 0 into 0 15.940 * [backup-simplify]: Simplify 1 into 1 15.941 * [backup-simplify]: Simplify (log 1) into 0 15.941 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 15.941 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 15.941 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 15.941 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))) in k 15.942 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 15.942 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 15.942 * [taylor]: Taking taylor expansion of 1.0 in k 15.942 * [backup-simplify]: Simplify 1.0 into 1.0 15.942 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 15.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 15.943 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) in k 15.943 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow (/ 1 k) 1/3))) in k 15.943 * [taylor]: Taking taylor expansion of (fabs (pow (/ 1 k) 1/3)) in k 15.943 * [backup-simplify]: Simplify (fabs (pow (/ 1 k) 1/3)) into (fabs (pow (/ 1 k) 1/3)) 15.943 * [backup-simplify]: Simplify (/ 1 (fabs (pow (/ 1 k) 1/3))) into (/ 1 (fabs (pow (/ 1 k) 1/3))) 15.943 * [backup-simplify]: Simplify (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) into (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) 15.944 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 15.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 15.945 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 15.946 * [backup-simplify]: Simplify (* (pow (sqrt 1.0) 2) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))) into (* (pow (sqrt 1.0) 2) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))) 15.946 * [backup-simplify]: Simplify (* (pow k 1/3) (* (pow (sqrt 1.0) 2) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into (* (pow k 1/3) (* (pow (sqrt 1.0) 2) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) 15.947 * [backup-simplify]: Simplify (* (pow k 1/3) (* (pow (sqrt 1.0) 2) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into (* (pow k 1/3) (* (pow (sqrt 1.0) 2) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) 15.948 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 15.948 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) 0) (* 0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 15.949 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.949 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 15.950 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log k))) into 0 15.950 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 15.951 * [backup-simplify]: Simplify (+ (* (pow k 1/3) 0) (* 0 (* (pow (sqrt 1.0) 2) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))))) into 0 15.951 * [backup-simplify]: Simplify 0 into 0 15.951 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 15.952 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 15.953 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 15.953 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 15.954 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))))) into 0 15.955 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 15.956 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 15.956 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log k)))) into 0 15.957 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.958 * [backup-simplify]: Simplify (+ (* (pow k 1/3) 0) (+ (* 0 0) (* 0 (* (pow (sqrt 1.0) 2) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))))) into 0 15.958 * [backup-simplify]: Simplify 0 into 0 15.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 15.959 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 15.960 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 15.961 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0))))) into 0 15.962 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))))) into 0 15.970 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 15.971 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 15.971 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 15.972 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.975 * [backup-simplify]: Simplify (+ (* (pow k 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (sqrt 1.0) 2) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))))))) into 0 15.975 * [backup-simplify]: Simplify 0 into 0 15.976 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 15.977 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 15.978 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 15.979 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0)))))) into 0 15.981 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))))))) into 0 15.991 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 15.991 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 15.993 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 15.995 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.998 * [backup-simplify]: Simplify (+ (* (pow k 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (sqrt 1.0) 2) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))))))) into 0 15.998 * [backup-simplify]: Simplify 0 into 0 15.999 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 16.000 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 16.001 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 16.002 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0))))))) into 0 16.005 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))))))) into 0 16.014 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 16.015 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 16.016 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 16.018 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.020 * [backup-simplify]: Simplify (+ (* (pow k 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (sqrt 1.0) 2) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))))))))) into 0 16.020 * [backup-simplify]: Simplify 0 into 0 16.020 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 16.021 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 16.022 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 16.023 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0)))))))) into 0 16.025 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))))))))) into 0 16.049 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 16.050 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 16.052 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 16.055 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.057 * [backup-simplify]: Simplify (+ (* (pow k 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (sqrt 1.0) 2) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))))))))) into 0 16.058 * [backup-simplify]: Simplify 0 into 0 16.058 * [backup-simplify]: Simplify (* (pow (/ 1 k) 1/3) (* (pow (sqrt 1.0) 2) (sqrt (/ 1 (fabs (pow (/ 1 (/ 1 k)) 1/3)))))) into (* (pow (/ 1 k) 1/3) (* (pow (sqrt 1.0) 2) (sqrt (/ 1 (fabs (pow k 1/3)))))) 16.059 * [backup-simplify]: Simplify (* (sqrt (* (/ (sqrt 1.0) (fabs (cbrt (/ 1 (- k))))) (/ (sqrt 1.0) (sqrt (cbrt (/ 1 (- k))))))) (sqrt (/ 1.0 (sqrt (/ 1 (- k)))))) into (* (sqrt (/ 1 (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (sqrt (/ -1 k))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (sqrt 1.0) 2) (pow k 1/12)))) 16.059 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (sqrt (/ -1 k))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (sqrt 1.0) 2) (pow k 1/12)))) in (k) around 0 16.059 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (sqrt (/ -1 k))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (sqrt 1.0) 2) (pow k 1/12)))) in k 16.060 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (sqrt (/ -1 k))))) in k 16.060 * [taylor]: Taking taylor expansion of (/ 1 (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (sqrt (/ -1 k)))) in k 16.060 * [taylor]: Taking taylor expansion of (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (sqrt (/ -1 k))) in k 16.060 * [taylor]: Taking taylor expansion of (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) in k 16.060 * [backup-simplify]: Simplify (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) into (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) 16.060 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 16.060 * [taylor]: Taking taylor expansion of (/ -1 k) in k 16.060 * [taylor]: Taking taylor expansion of -1 in k 16.060 * [backup-simplify]: Simplify -1 into -1 16.060 * [taylor]: Taking taylor expansion of k in k 16.060 * [backup-simplify]: Simplify 0 into 0 16.060 * [backup-simplify]: Simplify 1 into 1 16.060 * [backup-simplify]: Simplify (/ -1 1) into -1 16.061 * [backup-simplify]: Simplify (sqrt 0) into 0 16.062 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 16.062 * [backup-simplify]: Simplify (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) 0) into 0 16.063 * [backup-simplify]: Simplify (+ (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) +nan.0) (* 0 0)) into (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) 16.063 * [backup-simplify]: Simplify (/ 1 (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) into (/ +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) 16.064 * [backup-simplify]: Simplify (sqrt (/ +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) into (* (sqrt +nan.0) (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) 16.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.066 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.067 * [backup-simplify]: Simplify (+ (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) 16.068 * [backup-simplify]: Simplify (- (+ (* (/ +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (/ (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))))) into (- (* +nan.0 (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) 16.069 * [backup-simplify]: Simplify (/ (- (* +nan.0 (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) (* 2 (sqrt (/ +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) into (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (/ 1 (sqrt +nan.0)))) 16.069 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (sqrt 1.0) 2) (pow k 1/12))) in k 16.069 * [taylor]: Taking taylor expansion of (pow (/ 1 (cbrt -1)) 1/4) in k 16.069 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (cbrt -1))))) in k 16.069 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (cbrt -1)))) in k 16.069 * [taylor]: Taking taylor expansion of 1/4 in k 16.069 * [backup-simplify]: Simplify 1/4 into 1/4 16.069 * [taylor]: Taking taylor expansion of (log (/ 1 (cbrt -1))) in k 16.069 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in k 16.069 * [taylor]: Taking taylor expansion of (cbrt -1) in k 16.069 * [taylor]: Taking taylor expansion of -1 in k 16.069 * [backup-simplify]: Simplify -1 into -1 16.069 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 16.070 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 16.070 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 16.071 * [backup-simplify]: Simplify (log (/ 1 (cbrt -1))) into (log (/ 1 (cbrt -1))) 16.073 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (cbrt -1)))) into (* 1/4 (log (/ 1 (cbrt -1)))) 16.086 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (cbrt -1))))) into (pow (/ 1 (cbrt -1)) 1/4) 16.086 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow k 1/12)) in k 16.086 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 16.086 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 16.086 * [taylor]: Taking taylor expansion of 1.0 in k 16.086 * [backup-simplify]: Simplify 1.0 into 1.0 16.087 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 16.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 16.088 * [taylor]: Taking taylor expansion of (pow k 1/12) in k 16.088 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log k))) in k 16.088 * [taylor]: Taking taylor expansion of (* 1/12 (log k)) in k 16.088 * [taylor]: Taking taylor expansion of 1/12 in k 16.088 * [backup-simplify]: Simplify 1/12 into 1/12 16.088 * [taylor]: Taking taylor expansion of (log k) in k 16.088 * [taylor]: Taking taylor expansion of k in k 16.088 * [backup-simplify]: Simplify 0 into 0 16.088 * [backup-simplify]: Simplify 1 into 1 16.088 * [backup-simplify]: Simplify (log 1) into 0 16.089 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 16.089 * [backup-simplify]: Simplify (* 1/12 (log k)) into (* 1/12 (log k)) 16.089 * [backup-simplify]: Simplify (exp (* 1/12 (log k))) into (pow k 1/12) 16.089 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (sqrt (/ -1 k))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (sqrt 1.0) 2) (pow k 1/12)))) in k 16.089 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (sqrt (/ -1 k))))) in k 16.089 * [taylor]: Taking taylor expansion of (/ 1 (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (sqrt (/ -1 k)))) in k 16.089 * [taylor]: Taking taylor expansion of (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (sqrt (/ -1 k))) in k 16.089 * [taylor]: Taking taylor expansion of (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) in k 16.090 * [backup-simplify]: Simplify (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) into (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) 16.090 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 16.090 * [taylor]: Taking taylor expansion of (/ -1 k) in k 16.090 * [taylor]: Taking taylor expansion of -1 in k 16.090 * [backup-simplify]: Simplify -1 into -1 16.090 * [taylor]: Taking taylor expansion of k in k 16.090 * [backup-simplify]: Simplify 0 into 0 16.090 * [backup-simplify]: Simplify 1 into 1 16.090 * [backup-simplify]: Simplify (/ -1 1) into -1 16.091 * [backup-simplify]: Simplify (sqrt 0) into 0 16.092 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 16.093 * [backup-simplify]: Simplify (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) 0) into 0 16.094 * [backup-simplify]: Simplify (+ (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) +nan.0) (* 0 0)) into (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) 16.095 * [backup-simplify]: Simplify (/ 1 (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) into (/ +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) 16.095 * [backup-simplify]: Simplify (sqrt (/ +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) into (* (sqrt +nan.0) (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) 16.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.099 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.100 * [backup-simplify]: Simplify (+ (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) 16.102 * [backup-simplify]: Simplify (- (+ (* (/ +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (/ (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))))) into (- (* +nan.0 (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) 16.103 * [backup-simplify]: Simplify (/ (- (* +nan.0 (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) (* 2 (sqrt (/ +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) into (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (/ 1 (sqrt +nan.0)))) 16.103 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (sqrt 1.0) 2) (pow k 1/12))) in k 16.103 * [taylor]: Taking taylor expansion of (pow (/ 1 (cbrt -1)) 1/4) in k 16.103 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (cbrt -1))))) in k 16.103 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (cbrt -1)))) in k 16.103 * [taylor]: Taking taylor expansion of 1/4 in k 16.103 * [backup-simplify]: Simplify 1/4 into 1/4 16.103 * [taylor]: Taking taylor expansion of (log (/ 1 (cbrt -1))) in k 16.103 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in k 16.103 * [taylor]: Taking taylor expansion of (cbrt -1) in k 16.103 * [taylor]: Taking taylor expansion of -1 in k 16.103 * [backup-simplify]: Simplify -1 into -1 16.103 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 16.103 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 16.104 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 16.105 * [backup-simplify]: Simplify (log (/ 1 (cbrt -1))) into (log (/ 1 (cbrt -1))) 16.106 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (cbrt -1)))) into (* 1/4 (log (/ 1 (cbrt -1)))) 16.108 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (cbrt -1))))) into (pow (/ 1 (cbrt -1)) 1/4) 16.108 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow k 1/12)) in k 16.108 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 16.108 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 16.108 * [taylor]: Taking taylor expansion of 1.0 in k 16.108 * [backup-simplify]: Simplify 1.0 into 1.0 16.109 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 16.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 16.109 * [taylor]: Taking taylor expansion of (pow k 1/12) in k 16.109 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log k))) in k 16.109 * [taylor]: Taking taylor expansion of (* 1/12 (log k)) in k 16.109 * [taylor]: Taking taylor expansion of 1/12 in k 16.109 * [backup-simplify]: Simplify 1/12 into 1/12 16.109 * [taylor]: Taking taylor expansion of (log k) in k 16.109 * [taylor]: Taking taylor expansion of k in k 16.109 * [backup-simplify]: Simplify 0 into 0 16.109 * [backup-simplify]: Simplify 1 into 1 16.110 * [backup-simplify]: Simplify (log 1) into 0 16.110 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 16.110 * [backup-simplify]: Simplify (* 1/12 (log k)) into (* 1/12 (log k)) 16.110 * [backup-simplify]: Simplify (exp (* 1/12 (log k))) into (pow k 1/12) 16.111 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 16.111 * [backup-simplify]: Simplify (* (pow (sqrt 1.0) 2) (pow k 1/12)) into (* (pow k 1/12) (pow (sqrt 1.0) 2)) 16.113 * [backup-simplify]: Simplify (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow k 1/12) (pow (sqrt 1.0) 2))) into (* (pow k 1/12) (* (pow (/ 1 (cbrt -1)) 1/4) (pow (sqrt 1.0) 2))) 16.116 * [backup-simplify]: Simplify (* (* (sqrt +nan.0) (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) (* (pow k 1/12) (* (pow (/ 1 (cbrt -1)) 1/4) (pow (sqrt 1.0) 2)))) into (* (* (sqrt +nan.0) (pow (sqrt 1.0) 2)) (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4)))) 16.119 * [backup-simplify]: Simplify (* (* (sqrt +nan.0) (pow (sqrt 1.0) 2)) (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4)))) into (* (* (sqrt +nan.0) (pow (sqrt 1.0) 2)) (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4)))) 16.120 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.120 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 16.121 * [backup-simplify]: Simplify (+ (* 1/12 0) (* 0 (log k))) into 0 16.121 * [backup-simplify]: Simplify (* (exp (* 1/12 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 16.122 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 16.122 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) 0) (* 0 (pow k 1/12))) into 0 16.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))))) into 0 16.124 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (cbrt -1)) 1)))) 1) into 0 16.124 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (cbrt -1))))) into 0 16.125 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (cbrt -1))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.127 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (cbrt -1)) 1/4) 0) (* 0 (* (pow k 1/12) (pow (sqrt 1.0) 2)))) into 0 16.132 * [backup-simplify]: Simplify (+ (* (* (sqrt +nan.0) (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) 0) (* (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (/ 1 (sqrt +nan.0)))) (* (pow k 1/12) (* (pow (/ 1 (cbrt -1)) 1/4) (pow (sqrt 1.0) 2))))) into (- (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (/ (pow (sqrt 1.0) 2) (sqrt +nan.0)) (pow k 1/12)))))) 16.136 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (/ (pow (sqrt 1.0) 2) (sqrt +nan.0)) (pow k 1/12)))))) into (- (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (/ (pow (sqrt 1.0) 2) (sqrt +nan.0)) (pow k 1/12)))))) 16.139 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 16.140 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 16.141 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 (log k)))) into 0 16.142 * [backup-simplify]: Simplify (* (exp (* 1/12 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.143 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 16.144 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 16.145 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) 0) (+ (* 0 0) (* 0 (pow k 1/12)))) into 0 16.146 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 16.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 16.148 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (cbrt -1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (cbrt -1)) 1)))) 2) into 0 16.149 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (cbrt -1)))))) into 0 16.150 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (cbrt -1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.152 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (cbrt -1)) 1/4) 0) (+ (* 0 0) (* 0 (* (pow k 1/12) (pow (sqrt 1.0) 2))))) into 0 16.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.155 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.156 * [backup-simplify]: Simplify (+ (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) 16.160 * [backup-simplify]: Simplify (- (+ (* (/ +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (/ (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) (* (- (* +nan.0 (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) (/ (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))))) into (- (* +nan.0 (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) 16.162 * [backup-simplify]: Simplify (/ (- (- (* +nan.0 (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) (pow (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (/ 1 (sqrt +nan.0)))) 2) (+)) (* 2 (* (sqrt +nan.0) (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))))) into (* -1/2 (* (/ (+ (* +nan.0 (/ 1 (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (pow (sqrt +nan.0) 2)))) (- (* +nan.0 (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) (sqrt +nan.0)) (sqrt (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) 16.169 * [backup-simplify]: Simplify (+ (* (* (sqrt +nan.0) (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) 0) (+ (* (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (/ 1 (sqrt +nan.0)))) 0) (* (* -1/2 (* (/ (+ (* +nan.0 (/ 1 (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (pow (sqrt +nan.0) 2)))) (- (* +nan.0 (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) (sqrt +nan.0)) (sqrt (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) (* (pow k 1/12) (* (pow (/ 1 (cbrt -1)) 1/4) (pow (sqrt 1.0) 2)))))) into (- (+ (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (/ (pow (sqrt 1.0) 2) (pow (sqrt +nan.0) 3)) (pow k 1/12))))) (- (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (/ (pow (sqrt 1.0) 2) (sqrt +nan.0)) (pow k 1/12)))))))) 16.177 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (/ (pow (sqrt 1.0) 2) (pow (sqrt +nan.0) 3)) (pow k 1/12))))) (- (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (/ (pow (sqrt 1.0) 2) (sqrt +nan.0)) (pow k 1/12)))))))) into (- (+ (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (/ (pow (sqrt 1.0) 2) (pow (sqrt +nan.0) 3)) (pow k 1/12))))) (- (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (/ (pow (sqrt 1.0) 2) (sqrt +nan.0)) (pow k 1/12)))))))) 16.208 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 (/ 1 (- k))) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (/ (pow (sqrt 1.0) 2) (pow (sqrt +nan.0) 3)) (pow (/ 1 (- k)) 1/12))))) (- (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 (/ 1 (- k))) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (/ (pow (sqrt 1.0) 2) (sqrt +nan.0)) (pow (/ 1 (- k)) 1/12)))))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 (/ 1 (- k))) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (/ (pow (sqrt 1.0) 2) (sqrt +nan.0)) (pow (/ 1 (- k)) 1/12)))))) (/ 1 (- k))) (* (* (sqrt +nan.0) (pow (sqrt 1.0) 2)) (* (sqrt (/ 1 (fabs (* (pow (/ 1 (/ 1 (- k))) 1/3) (cbrt -1))))) (* (pow (/ 1 (- k)) 1/12) (pow (/ 1 (cbrt -1)) 1/4)))))) into (- (* (* (sqrt +nan.0) (pow (sqrt 1.0) 2)) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (/ -1 k) 1/12) (sqrt (/ 1 (fabs (* (pow (* -1 k) 1/3) (cbrt -1)))))))) (+ (* +nan.0 (* (/ (pow (sqrt 1.0) 2) (pow (sqrt +nan.0) 3)) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (/ -1 (pow k 25)) 1/12) (sqrt (/ 1 (fabs (* (pow (* -1 k) 1/3) (cbrt -1))))))))) (- (+ (* +nan.0 (* (/ (pow (sqrt 1.0) 2) (sqrt +nan.0)) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (/ -1 (pow k 13)) 1/12) (sqrt (/ 1 (fabs (* (pow (* -1 k) 1/3) (cbrt -1))))))))) (- (* +nan.0 (* (/ (pow (sqrt 1.0) 2) (sqrt +nan.0)) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (/ -1 (pow k 25)) 1/12) (sqrt (/ 1 (fabs (* (pow (* -1 k) 1/3) (cbrt -1)))))))))))))) 16.208 * * * [progress]: simplifying candidates 16.212 * [simplify]: Simplifying: (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (log (cbrt k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) (cbrt 1) (cbrt k) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) (* (* (cbrt k) (cbrt k)) (cbrt k)) (sqrt (cbrt k)) (sqrt (cbrt k)) (log (cbrt k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) (cbrt 1) (cbrt k) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) (* (* (cbrt k) (cbrt k)) (cbrt k)) (sqrt (cbrt k)) (sqrt (cbrt k)) (* (* (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k)))) (/ 1.0 (sqrt k))) (* (sqrt (* (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))))) (sqrt (/ 1.0 (sqrt k)))) (* (* (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k)))) (/ 1.0 (sqrt k))) (* (* (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k)))) (/ 1.0 (sqrt 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(* (sqrt (* (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))))) (sqrt (/ 1 (sqrt (sqrt k))))) (* (sqrt (* (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))))) (sqrt (/ 1 (sqrt 1)))) (* (sqrt (* (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))))) (sqrt (/ 1 (sqrt (sqrt k))))) (* (sqrt (* (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))))) (sqrt (/ 1 1))) (* (sqrt (* (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))))) (sqrt 1)) (* (sqrt (* (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))))) (sqrt 1.0)) (* (sqrt (* (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (* (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))))) 1) (* (cbrt (sqrt (* (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k)))))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ (sqrt 1.0) (sqrt (cbrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (sqrt (* (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k)))))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (* (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (* (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))))) (sqrt 1.0)) (* (sqrt (* (sqrt 1.0) (sqrt 1.0))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (* (/ (sqrt 1.0) (fabs (cbrt k))) (sqrt 1.0))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (* (sqrt 1.0) (/ (sqrt 1.0) (sqrt (cbrt k))))) (sqrt (/ 1.0 (sqrt k)))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* -1 k) 1/3) (cbrt -1)) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* -1 k) 1/3) (cbrt -1)) (* (sqrt (/ 1 (fabs (pow k 1/3)))) (* (pow (sqrt 1.0) 2) (pow (/ 1 k) 1/3))) (* (pow (/ 1 k) 1/3) (* (pow (sqrt 1.0) 2) (sqrt (/ 1 (fabs (pow k 1/3)))))) (- (* (* (sqrt +nan.0) (pow (sqrt 1.0) 2)) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (/ -1 k) 1/12) (sqrt (/ 1 (fabs (* (pow (* -1 k) 1/3) (cbrt -1)))))))) (+ (* +nan.0 (* (/ (pow (sqrt 1.0) 2) (pow (sqrt +nan.0) 3)) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (/ -1 (pow k 25)) 1/12) (sqrt (/ 1 (fabs (* (pow (* -1 k) 1/3) (cbrt -1))))))))) (- (+ (* +nan.0 (* (/ (pow (sqrt 1.0) 2) (sqrt +nan.0)) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (/ -1 (pow k 13)) 1/12) (sqrt (/ 1 (fabs (* (pow (* -1 k) 1/3) (cbrt -1))))))))) (- (* +nan.0 (* (/ (pow (sqrt 1.0) 2) (sqrt +nan.0)) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (/ -1 (pow k 25)) 1/12) (sqrt (/ 1 (fabs (* (pow (* -1 k) 1/3) (cbrt -1)))))))))))))) 16.219 * * [simplify]: Extracting # 0 : cost 0 16.219 * * [simplify]: Extracting # 1 : cost 0 16.219 * * [simplify]: Extracting # 2 : cost 0 16.220 * * [simplify]: Extracting # 3 : cost 0 16.221 * * [simplify]: Extracting # 4 : cost 0 16.221 * * [simplify]: Extracting # 5 : cost 0 16.222 * * [simplify]: Extracting # 6 : cost 0 16.223 * * [simplify]: Extracting # 7 : cost 0 16.223 * * [simplify]: Extracting # 8 : cost 0 16.224 * * [simplify]: Extracting # 9 : cost 0 16.225 * * [simplify]: Extracting # 10 : cost 0 16.226 * * [simplify]: Extracting # 11 : cost 0 16.226 * * [simplify]: Extracting # 12 : cost 0 16.227 * * [simplify]: Extracting # 13 : cost 0 16.228 * * [simplify]: Extracting # 14 : cost 0 16.229 * * [simplify]: Extracting # 15 : cost 0 16.229 * * [simplify]: Extracting # 16 : cost 0 16.230 * * [simplify]: iteration 0 : 307 enodes (cost 2304 ) 16.372 * * [simplify]: Extracting # 0 : cost 0 16.374 * * [simplify]: Extracting # 1 : cost 0 16.375 * * [simplify]: Extracting # 2 : cost 0 16.377 * * [simplify]: Extracting # 3 : cost 0 16.378 * * [simplify]: Extracting # 4 : cost 0 16.380 * * [simplify]: Extracting # 5 : cost 0 16.381 * * [simplify]: Extracting # 6 : cost 0 16.383 * * [simplify]: Extracting # 7 : cost 0 16.384 * * [simplify]: Extracting # 8 : cost 0 16.386 * * [simplify]: iteration 1 : 690 enodes (cost 1888 ) 16.726 * * [simplify]: Extracting # 0 : cost 0 16.731 * * [simplify]: Extracting # 1 : cost 0 16.736 * * [simplify]: Extracting # 2 : cost 0 16.740 * * [simplify]: Extracting # 3 : cost 0 16.745 * * [simplify]: Extracting # 4 : cost 0 16.750 * * [simplify]: iteration 2 : 2036 enodes (cost 1794 ) 17.528 * * [simplify]: Extracting # 0 : cost 0 17.538 * * [simplify]: Extracting # 1 : cost 0 17.561 * * [simplify]: Extracting # 2 : cost 0 17.568 * * [simplify]: Extracting # 3 : cost 0 17.574 * * [simplify]: Extracting # 4 : cost 0 17.580 * * [simplify]: iteration done: 5000 enodes (cost 1742 ) 17.581 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (log (cbrt k)) (exp (cbrt k)) (cbrt (pow k 2/3)) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) 1 (cbrt k) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) k (sqrt (cbrt k)) (sqrt (cbrt k)) (log (cbrt k)) (exp (cbrt k)) (cbrt (pow k 2/3)) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) 1 (cbrt k) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) k (sqrt (cbrt k)) (sqrt (cbrt k)) (/ (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt (cbrt k)))) (fabs (cbrt k))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))))) (/ (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt (cbrt k)))) (fabs (cbrt k))) (/ (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt (cbrt k)))) (fabs (cbrt k))) (log (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k)))))) (log (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k)))))) (pow (exp (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))))) (sqrt (/ 1.0 (sqrt k)))) (pow (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))))) 3) (* (cbrt (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k)))))) (cbrt (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))))))) (cbrt (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k)))))) (pow (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))))) 3) (/ (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt (cbrt k)))) (fabs (cbrt k))) (sqrt (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k)))))) (sqrt (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k)))))) 1.0 (* (sqrt (* (fabs (cbrt k)) (sqrt (cbrt k)))) (sqrt (sqrt k))) (* (sqrt 1.0) (sqrt (/ 1.0 (fabs (cbrt k))))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k))) (* (sqrt (/ 1.0 (sqrt (cbrt k)))) (sqrt 1.0)) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt k))) (* (sqrt (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (* (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k)))) (cbrt (sqrt (/ 1.0 (sqrt k))))) (cbrt (sqrt (/ 1.0 (sqrt k))))) (* (fabs (cbrt (/ 1.0 (sqrt k)))) (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))))) (* (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (fabs (/ (cbrt 1.0) (cbrt (sqrt k)))) (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k)))) (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))) (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))))) (* (fabs (cbrt 1.0)) (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))) (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))))) (* (fabs (cbrt 1.0)) (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))))) (* (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k)))) (sqrt (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (sqrt 1.0) (fabs (cbrt k)))) (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))))) (* (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k)))) (sqrt (sqrt 1.0))) (* (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k)))) (sqrt (sqrt 1.0))) (* (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k)))) (sqrt (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ 1 (fabs (cbrt k)))) (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))))) (* (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k)))) (sqrt (/ 1 (sqrt (sqrt k))))) (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k)))) (* (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k)))) (sqrt (/ 1 (sqrt (sqrt k))))) (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k)))) (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k)))) (* (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k)))) (sqrt 1.0)) (* (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k)))) (* (cbrt (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ (sqrt 1.0) (sqrt (cbrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))))) (* (sqrt (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k)))) (sqrt 1.0)) (* (sqrt (/ 1.0 (sqrt k))) (sqrt 1.0)) (* (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt (cbrt k))))) (+ (+ (* 0.125 (* (* (pow (* (* 2.0 PI) n) 0.5) (pow k 2)) (+ (pow (log (* 2.0 PI)) 2) (pow (log n) 2)))) (pow (* (* 2.0 PI) n) 0.5)) (- (* (* (* (pow k 2) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n))) 0.25) (* (* 0.5 k) (* (pow (* (* 2.0 PI) n) 0.5) (log (* (* 2.0 PI) n)))))) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (cbrt k) (pow (/ 1 k) -1/3) (* (cbrt (- k)) (cbrt -1)) (cbrt k) (pow (/ 1 k) -1/3) (* (cbrt (- k)) (cbrt -1)) (* (* (cbrt (/ 1 k)) 1.0) (sqrt (/ 1 (fabs (cbrt k))))) (* (* (cbrt (/ 1 k)) 1.0) (sqrt (/ 1 (fabs (cbrt k))))) (+ (* (sqrt (/ 1 (fabs (* (cbrt (- k)) (cbrt -1))))) (- (* (* (* (sqrt +nan.0) 1.0) (pow (/ 1 (cbrt -1)) 1/4)) (pow (/ -1 k) 1/12)) (* (* +nan.0 (/ 1.0 (pow (sqrt +nan.0) 3))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow (/ -1 (pow k 25)) 1/12))))) (* (* +nan.0 (/ 1.0 (sqrt +nan.0))) (* (* (pow (/ 1 (cbrt -1)) 1/4) (sqrt (/ 1 (fabs (* (cbrt (- k)) (cbrt -1)))))) (- (pow (/ -1 (pow k 13)) 1/12) (pow (/ -1 (pow k 25)) 1/12))))) 17.582 * * * [progress]: adding candidates to table 18.467 * [progress]: [Phase 3 of 3] Extracting. 18.467 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 18.475 * * * [regime-changes]: Trying 4 branch expressions: ((* (* 2.0 PI) n) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) n k) 18.475 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # # #) 18.549 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # # # # #) 18.632 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # # #) 18.709 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # # #) 18.799 * * * [regime]: Found split indices: #